Numbers and Operations Teacher Resources

Find Numbers and Operations lesson plans and worksheets
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Perform Arithmetic Operations with Complex Numbers: High School Math Common Core

For Teachers 9th - 12th Standards
Imagine a world where all the numbers live together harmoniously. Here you have it! Check out these resources that introduce the concept of an imaginary number, go through the operations, and model how to utilize the conjugate. 
8 Items in Collection
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Mental Math and Compatible Numbers

For Teachers 4th - 7th
Strengthen the skills of mental math when using compatible numbers. Find numbers that benefit one another when doing the four operations. Practice correct estimating to make those operations go quicker and better understand if the...
EngageNY

EngageNY Grade 6 Math Module 2: Arithmetic Operations Including Division of Fractions

For Teachers 6th Standards
Twenty-one lessons and two exams make up a math unit all about decimal operations and division of fractions. By way of direct instruction, discussion, guided practice, collaborative learning, and independent practice scholars solve...
EngageNY

EngageNY Precalculus and Advanced Topics Module 1: Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Prepare your mathematicians for calculus with a collection of 32 lessons that focus on three topics: linearity, complex number operations as transformations, and the power of right notation. Each lesson includes teacher materials...
EngageNY

EngageNY Grade 7 Math Module 2: Rational Numbers

For Teachers 7th Standards
Middle schoolers play the Integer Game to build a mental picture and conceptual understanding of integer operations. Tweens add, subtract, multiply, and divide signed numbers—a practice beneficial in developing their competency of...
7 Items in Collection
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Grade 2 Supplement Set: Math

For Teachers 2nd Standards
What would be better for your second grade mathematicians? Grab this set of engaging lesson plans that will be the highlight of your students' day as they learn how to tell time, solve equations, add and subtract multi-digit numbers, and...
EngageNY

EngageNY Precalculus and Advanced Topics Curriculum

For Teachers 11th - 12th Standards
A 5-module complete precalculus course begins with young mathematicians exploring linearity, complex number operations as transformation, and the power of the right notation. Module 2 has pupils examining incidence relationships in...
EngageNY

EngageNY Algebra II Module 1: Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
The 42 lessons in the Algebra II Module 1 collection enable students to connect polynomial arithmetic to computations with whole numbers and integers. Application and modeling problems include both real world and purely mathematical...
EngageNY

EngageNY Algebra II Module 1: Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
The 42 lessons in the Algebra II Module 1 collection are divided into four topics: Polynomials--From Base Ten to Base X, Factoring-- Its Use and Its Obstacles, Solving and Applying Equations—Polynomial, Rational and Radical, and A...
15 Items in Collection
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Essence of Linear Algebra

For Teachers 11th - Higher Ed Standards
The 15 videos in the Essence of Linear Algebra collection teach students how to understand the numerical operations of matrices as well as the geometric intuitions underlying them. The first video in the series details the rationale...
35 Items in Collection
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Common Core Math: 8th Grade

For Teachers 8th Standards
Check out the Common Core with a collection that represents all the 8th grade math standards. Most resources engage multiple standards but the main one is listed on the notes section of each tab. 
35 Items in Collection
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Algebra: High School Common Core Math

For Teachers 9th - 12th Standards
All Algebra, all the time! Here is a compiled list of resources that address all of the standards regarding Algebra Common Core for high school. Each resource has the main standard it addresses under the notes section of the item. 
31 Items in Collection
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Number and Quantity: High School Common Core Math

For Teachers 9th - 12th Standards
This collection has a resource for each standard in the Number and Quantity selection of the CCSS. While several of the resources cover multiple standards, the focus standard is listed in the notes section of each resource for easy viewing.
EngageNY

EngageNY Precalculus and Advanced Topics Module 2: Vectors and Matrices

For Teachers 11th - 12th Standards
Here's a collection for gamers and non-gamers. The 29 lessons in the Calculus and Advanced Topics Module 2 are divided into five topics: Networks and Matrices, Linear Transformation of Planes and Space, Systems of Linear Equations,...
40 Items in Collection
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Common Core Math: 6th Grade

For Teachers 6th Standards
Need some help aligning your 6th grade math curriculum to Common Core? Here is a collection complete with a resource for every standard in the curriculum. While many of these resources cover multiple math standards, the main one...
EngageNY

EngageNY Algebra I Curriculum

For Teachers 9th - 12th Standards
The Algebra 1 curriculum set is designed to help scholars develop fluency in writing, interpreting, and solving linear equations, The 30 lessons in Module 1 are divided into four topics: An Introduction to Functions, the Structure of...
8:58
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Complex Numbers (Part 2)

For Students 9th - 11th
This video continues looking at dividing complex numbers by looking at the conjugate of a complex number. The instructor then uses the conjugate to rationalize the denominator of a rational expression with a complex number in the...
7:21
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Complex Numbers (Part 1)

For Students 9th - 11th
In this video, a complex number is defined and graphed on the complex plane. Sal also shows how to add, subtract, and multiply two complex numbers. He starts showing how to divide two complex numbers, but runs out of time and continues...
10:10
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Complex Numbers (Part 1)

For Students 9th - 11th
In this video, a complex number is defined and graphed on the complex plane. Sal also shows how to add, subtract, and multiply two complex numbers. He starts showing how to divide two complex numbers, but runs out of time and continues...
8:58
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Complex Numbers (Part 2)

For Students 9th - 11th
This video continues looking at dividing complex numbers by looking at the conjugate of a complex number. The instructor then uses the conjugate to rationalize the denominator of a rational expression with a complex number in the...
1 In 1 Collection
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Grade 2 Supplement Set A1 – Numbers and Operations: Addition and Subtraction

For Teachers 2nd Standards
Using unifix cubes, a spinner, a number line, and fact family triangles second graders will play their way to subtraction competency. They engage in a series of activities that has them playing game that require them to add and subtract...
5:20
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More Complicated Order of Operations Example

For Students 7th - 9th
Demonstrating a "really hairy and beastly problem," Sal again shows the power and importance of solving an equation according the order of operations. Additionally, he guides viewers through a step in the equation when there are multiple...
9:40
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Introduction to Order of Operations

For Students 7th - 9th
First demonstrating the improper ways of solving an equation (left-to-right, multiplication first), Sal shows viewers how the answer of an equation can be drastically incorrect by neglecting to use the order of operations. He uses...
2:41
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Dividing Mixed Numbers

For Students 5th - 7th
Before Sal can divide a mixed number, he has to rewrite it as an improper fraction. He explains that dividing a fraction is the same as multiplying it by its reciprocal and that you can "cancel out" numbers to make multiplying easier.
1:32
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Adding Whole Numbers and Applications 1

For Students 3rd - 5th
Adding double-digit numbers can seem difficult for some students. But, this Khan Academy video makes this process clear in a developmentally sound way. Students watch as 'Sal' adds the number 46 to 43. He references each number by its...
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Study Jams! Determine the Missing Operation in an Equation

For Teachers 4th - 6th
Deepen the number sense of your math class with a short presentation on writing equations. Using the relationship between numbers, young mathematicians learn how to determine the missing operator in an equation. A number of opportunities...
1:51
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Multiplying Whole Numbers and Applications 4

For Students 4th - 5th
Are your students learning about solving word problems involving multiplication? If they are, then this video could be a perfect complement to your lesson. Sal shows students how to use rounding to estimate the product of a double-digit...
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Algebra Practice: Equations With Rational Numbers

For Students 4th - 7th
Young mathematicians solve 12 equations, determine operations performed and solve 2 test prep questions. Houghton Mifflin text is referenced.
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Grade 1 Math: Partner Work, Numbers and Operations, Pattern Recognition

For Teachers 1st
Looking for patterns is a key skill young learners need to know. They build number sense by first looking for number patterns in a series of simple addition and subtraction problems that all involve the number zero. They work with a...
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Rewriting Numbers as Tens and Ones

For Students 1st - 4th
 Unpack double-digit numbers using this fantastic graphic organizer featuring eight place value problems. Learners separate each number into tens and ones, then write it out by completing a sentence frame. As they work through the...
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Pathways to Double-Digit Addition

For Students 1st - 4th
By adding the tens and ones place separately, beginners to addition can easily complete 10 double-digit addition problems. This is an excellent learning exercise, as it visually sets learners up on the pathway to this strategy. They...
7:03
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How Do You Put Whole Numbers in Order From Greatest to Least?

For Teachers 2nd - 4th
So you want to put some given values in order from greatest to least? The instructor starts out by drawing a place value chart. She then inserts all the numbers into the chart. This helps you visually see their value so you can compare...
5:30
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How Do You Compare Two Whole Numbers?

For Teachers 1st - 4th
Two very similar numbers and you have to figure out which one is larger. The teacher diagrams a place value chart and shows you how to write the two numbers to make a comparison.
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Formative Assessment Task: Number and Operations in Base Ten

For Teachers 3rd - 5th Standards
Engage your class in developing their understanding of place value with this simple hands-on activity. Presented with a multi-digit number, young mathematicians use the provided digit cards to create numbers in response to a series of...
1 In 1 Collection
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Imaginary Numbers? What Do You Mean Imaginary?

For Teachers 9th - 12th Standards
Don't worry, this resource actually exists. Scholars learn about imaginary numbers and work on problems simplifying square roots of negative numbers. As an extension, they research the history of imaginary numbers.
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Grade 1 Supplement A2 – Number and Operations: Numerals to 1,000

For Teachers 1st Standards
What a fun set of math operations activities! First, the mysterious Digit Switcher writes letters to your first-graders, challenging them to recognize patterns in three-digit numbers. Then, the class works together analyzing three-digit...
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The Order of Operations

For Teachers 6th - 8th Standards
Your learners use many different number representations like positive and negative integers, exponents, radicals, and combinations of operations as they learn and strengthen their use of the order of operations. Thoughtfully organized to...
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Number Operations

For Teachers 3rd - 4th
Inject fun into your math review! Pupils review basic math operations with decimals as well as addition and subtraction with simple fractions. In this number operations lesson, students work in groups to create a game for the math skill...
1:55
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How Do You Solve a Word Problem Where You Multiply and Subtract Whole Numbers and Fractions?

For Teachers 3rd - 5th
There is only one variable in this word problem. Yeah! So unpack the words and write them as a mathematical expression. Then make sure to use the order of operations to solve and arrive at the solution.
2 In 2 Collections
EngageNY

An Appearance of Complex Numbers 2

For Teachers 11th - 12th Standards
Help the class visualize operations with complex numbers with a instructional activity that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part...
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Order of Operations

For Students 7th - 10th Standards
It's the classic please excuse my dear aunt sally strategy to remembering the order of operations. Young mathematicians practice to develop an understanding of the order of operations. Examples and practice problems include absolute...
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Order of Operations

For Students 5th - 6th
Some terrific practice in solving math equations that have a specific order of operations component built into them. Some of the problems have parentheses, and all four operations are present in the problems. Pupils solve 50 problems and...
7:06
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How Do You Subtract Whole Numbers?

For Teachers 6th - 12th
Line up your numbers! The instructor shows you how to line your numbers up by place value. Then step by step she subtracts each place value. She demonstrates how to borrow when the top value is less than the bottom value you are...
5:41
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Imaginary Numbers Are Real (Part 9: Closure)

For Students 9th - 12th Standards
The last video in a series about imaginary numbers demonstrates the need for complex numbers. Math pupils learn that they need to include the square root of negative one, the building block of the complex numbers, to have a set of...
7:47
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How Do You Write a Whole Number Given in Expanded Form in Standard Form and in Words?

For Teachers 6th - 12th
You've been given a number written in expanded form. You have to write it in standard form, and in word form. The instructor does a nice job illustrating and explaining just how to do both of these operations.
8:55
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What is Place Value for Whole Numbers?

For Teachers 4th - 6th Standards
Whole numbers are the natural numbers including zero. The instructor illustrates and explains place value. She draws a place value chart and then defines each term and what the numbers mean. She writes a number in standard form and then...
1:41
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How Do You Multiply a Whole Number by a Fraction?

For Teachers 6th - 12th
A quick demonstration of how to multiply a whole number times a fraction.
7:39
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How Do You Put Whole Numbers in Order From Greatest to Least?

For Teachers 6th - 12th
So you want to put some given values in order from greatest to least? The instructor starts out by drawing a place value chart. She then inserts all the numbers into the chart. This helps you visually see their value so you can compare...
7:13
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How Do You Put Whole Numbers in Order From Least to Greatest?

For Teachers 6th - 12th
So you want to put some given values in order from least to greatest? The instructor starts out by drawing a place value chart. She then inserts all the numbers into the chart. This helps you visually see their value so you can compare...
6:06
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How Do You Compare Two Whole Numbers?

For Teachers 6th - 12th
Two very similar numbers and you have to figure out which one is larger. The teacher diagrams a place value chart and shows you how to write the two numbers to make a comparison.
4:42
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Imaginary Numbers Are Real (Part 3: Cardan's Problem)

For Students 9th - 12th Standards
Were complex numbers discovered or invented? A video presentation makes the case for the discovery of square roots of negative one. In order for complex numbers to be real, then they must behave like other numbers, which they do in terms...
3:38
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Imaginary Numbers Are Real (Part 6: The Complex Plane)

For Students 9th - 12th Standards
How do addition and subtraction work on the complex plane? A short video presentation provides a clue on how to add complex numbers geometrically. The video ends with four problems to determine the rules for multiplication on the complex...
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Introducing Integers and Their Operations

For Teachers 6th - 8th Standards
There's nothing negative about this mini-unit on integers! Engaging young mathematicians in a series of hands-on activities and collaborative learning opportunities, this resource offers an excellent way to introduce your class to...
6:22
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Divide with Two-Digit Divisors Using Base Ten Blocks

For Students 5th - 7th Standards
How does multiplication help when dividing a number? Prepare your number crunchers to become fluent in dividing multi-digit numbers by relating base ten blocks to the standard algorithm with this video. Reinforce students’ understanding...
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Rounding Whole Numbers

For Teachers 4th
Review the rules of rounding whole numbers then work through several practice problems that show how to determine what is being asked based on the context of a problem. There are four multi-step word problems for learners to solve that...
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Math 7 Study Guide for Number Sense and Operations: Quiz 1

For Students 7th - 8th Standards
This number sense and operations study guide provides notes and explanations as well as practice problems. In order to practice their math skills, learners write fractions as decimals, identify which number set a number belongs to, take...
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Bowling Over the Order of Operations

For Teachers 4th - 6th Standards
Upper graders will solve equations using order of operations, and create equations that to play a fun math bowling game. They will bowl using dice to practice operations. Extensions are also included.
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Order of Operations with Rational Numbers - Problem Solving 22.4

For Students 5th - 7th
Middle schoolers examine three equations with missing numbers or symbols then solve five word problems where they must use rational numbers and the correct order of operations.
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Curriculum Links To Numeracy

For Teachers 1st - 5th
Youngsters practice looking for the links to numeracy in their classes. This isn't a worksheet but a curriculum guide for an entire unit. Teachers can use any part of the resource to extend or inform their teaching practices related to...
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Order of Operations with Rational Numbers - Reteach 22.4

For Students 5th - 8th
Middle schoolers solve eight fill-in-the-blank problems where they use correct order of operations to evaluate each mathematical expression. An explanation of order of operations and two clear examples are provided.
2 In 2 Collections
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5 Dice: Order of Operations Game

For Students 5th - 9th Standards
Sometimes the simplest ideas can be the most challenging to solve! In this app, you are given five numbers and a set of operators, and you need to create an expression that when evaluated using the order of operations simplifies as the...
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Prime and Composite Numbers

For Teachers 6th - 7th
Prime and composite numbers are the focus of this mathematics lesson. In it, learners practice techniques for identifying these two types of numbers. They utilize the Inspiration program to complete a task that is clearly explained, and...
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Complex Numbers

For Teachers 10th - 12th Standards
Learners are introduced to the concept of imaginary unit and complex numbers. They are taught how to add and subtract complex numbers. Students define a complex number. They comprehend at least two applications of complex numbers....
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Ordering Large Numbers: Numbers up to 9,200,000

For Students 3rd - 5th Standards
Once learners understand place value, they can put all kinds of numbers in order - even eight-digit numbers! Fourth graders put groups of five numbers in order from smallest to largest. After they finish, they decipher a word problem and...
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Putting Numbers in Order, Numbers Up to 9,900

For Students 3rd - 5th Standards
Put these big numbers in order! Fourth graders review the example at the top of the page before putting 16 sets of 4-digit numbers in order from smallest to largest. You can cut the three sections of problems into strips of paper for...
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Writing Numbers

For Students 2nd - 4th
A multi-faceted approach to place value! Third graders write four-digit numbers, as well as interpreting the written forms of large numbers. Use the resource as a unit assessment, or in parts as a warm-up activity throughout the week. 
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Place Value for Whole Numbers

For Students 3rd - 5th
Work with small and large numbers alike with a place-value activity. After writing the value of selected numbers, fourth graders write what happens to each number if they change certain parts of it. 
1 In 1 Collection
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Complex Numbers

For Teachers 9th - 12th Standards
The class practices, on paper and/or on a TI graphing calculator the concepts of how to add, multiply, divide and subtract complex numbers using the correct property.
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Addition and Subtraction Numbers Trail Worksheet

For Students K - 2nd
The number four is going on an adventure! This is a fun take on addition and subtraction problems; learners begin this math maze with the number four, and take it through various operations at each box. As it travels, scholars write down...
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Adding Bigger Numbers: 2 and 3 Digit Numbers

For Students 3rd - 5th Standards
Challenge your young learners with an addition worksheet, which provides different opportunities to practice adding two and three-digit numbers. The first two sections provide twelve problems for pupils to solve, while the last two...
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Multiplying Larger Numbers by 1-Digit Numbers

For Students 3rd - 5th Standards
Introduce multiplication with large numbers to your fourth grade class. A straightforward worksheet provides three and four-digit numbers, multiplied by one-digit numbers, to help transition your learners into more difficult...
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Putting Numbers in Order, Numbers up to 100

For Students 1st - 2nd Standards
Party with number balloons! Young learners study four groups of illustrated balloons with numbers on them, and write the numbers in sequence from smallest to greatest, or greatest to smallest. For extra fun, have them color the balloons...
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Reading and Writing Numbers

For Students 1st - 3rd Standards
Review numerals and written numbers. Here is a learning exercise that features four sections of problems for youngsters to figure out. They write out eight 3-digit numbers, and provide 3-digit numerals for eight written numbers. A great...
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Using Positive and Negative Numbers in Context

For Teachers 6th - 8th Standards
Measure the temperature of your math class with a temperature-based lesson on adding and subtracting rational numbers. The thermometer serves as a vertical number line for learners as they work together to solve a temperature change...
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Putting Numbers in Order

For Students 1st - 3rd Standards
Can your second graders put these 2 and 3-digit numbers in order from least to greatest? Fifteen sets of four numbers help them practice their place value, as well as their ordering skills. A great way to get them ready for more complex...
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Rounding Whole Numbers

For Students 3rd - 5th Standards
Can your fourth graders round to the nearest 10? What about the nearest 100, or 10,000? A thorough resource helps them practice rounding numbers of varying size. Four sets of problems prompt students to round to specified place values,...
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Reading and Writing Numbers

For Teachers 3rd - 4th
Reading and writing numbers is thoroughly covered in this well done slide-show presentation. Learners will see how number and number words correlate in relation to place value. The slide-show is text heavy and could use more visual aids...
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Fractions Lesson: Understanding Mixed Numbers

For Teachers 4th - 5th
A developmentally sound approach to teaching learners the difference between fractions, whole numbers, and mixed numbers. They are shown each type of number then run through a series of slides shouting out the name of that number type....
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The Real Numbers and Subsets of the Real Numbers

For Teachers 8th - 9th
Mathematicians separate numbers into subsets. In this algebra lesson, they define and differentiate numbers according to real numbers and integers, fractions, and rational numbers.
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Complex Numbers: Plotting and Polar Form

For Teachers 9th - 12th Standards
Explore the concept of, and use the Ti-Nspire to, convert complex numbers into polar form. Then practice graphing complex numbers in the polar coordinate plane.
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Mixed numbers and Improper Fractions

For Teachers 4th - 5th
What do you get when you combine chocolate bars and math? The answer: A great lesson on improper fractions and mixed numbers! Learners discuss the differences between whole numbers and fractions, then use images of scored chocolate bars...
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Numbers and Operations in Base Ten

For Teachers 1st
First graders use a ten frame and counters to demonstrate their understanding of two-digit numbers. Use the included suggested questions to check for understanding and encourage abstract reasoning.
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Rounding Mixed Numbers

For Students 3rd - 5th Standards
Is your class having trouble with mixed numbers and rounding to the nearest whole number? Use this instructional activity in your fractions unit to help struggling math students with this tricky skill. An example demonstrates how to...
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Rounding to the Nearest Whole Number

For Students 3rd - 5th Standards
Bring money and measurement together by practicing rounding decimals to the nearest whole number. Three sections prompt fourth graders to round to the nearest dollar, the nearest meter, and the nearest whole unit. Use this activity as an...
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Breaking Apart Numbers

For Students 1st - 4th
Your skilled subtractors will appreciate this breakdown of three-digit numbers. Observing place value, learners separate both numbers in a subtraction problem into hundreds, tens, and ones. They subtract each part, using a graphic...
7:11
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How Do You Write a Whole Number Given in Expanded Form in Standard Form and in Words?

For Teachers 4th - 7th
You've been given a number written in expanded form. You have to write it in standard form, and in word form. The instructor does a nice job illustrating and explaining just how to do both of these operations.
6:59
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How Do You Multiply a Two-Digit Number by a Two-Digit Number?

For Teachers 3rd - 5th
It is very important to keep place value in mind when you are multiplying. The instructor draws a place value chart to help you see how to keep the numbers in their proper place. Too often pupils get messy and the numbers don't line up...
6:40
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How Do You Put Whole Numbers in Order From Least to Greatest?

For Teachers 1st - 3rd
So you want to put some given values in order from least to greatest? The instructor starts out by drawing a place value chart. She then inserts all the numbers into the chart. This helps you visually see their value so you can compare...
8:12
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What is Place Value for Whole Numbers?

For Teachers 1st - 4th
Whole numbers are the natural numbers including zero. The instructor illustrates and explains place value. She draws a place value chart and then defines each term and what the numbers mean. She writes a number in standard form and then...
6:02
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How Do You Add Whole Numbers?

For Teachers 3rd - 6th
Adding whole numbers can be tricky if you don't get all your numbers in alignment. So make sure to get the place value correct.
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Operations on the Number Line

For Teachers 7th - 9th Standards
A different way to look at integers is on this number line with variables in place of numbers. Learners are to look at different expressions and describe why they think the answer would be positive or negative, depending on the location...
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Number, Number Sense and Operations: Worksheet Four

For Students 6th - 8th
Review a variety of mathematical skills with this worksheet. In this number sense and operations worksheet, learners solve 15 different problems that include simplifying various equations. In addition, they write the powers in order from...
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Number Sense and Operations

For Students 8th - 10th Standards
In this number sense and operations worksheet, learners solve 15 different types of problems that include reading number lines and solving inequalities. First, they write the scientific notation of various numbers given. Then, pupils...
5:49
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How Do You Multiply a Three-Digit Number by a One-Digit Number?

For Teachers 3rd - 5th
The teacher gives a very thorough explanation of how to set up and multiply numbers vertically. She emphasizes place value and where the numbers go when you multiply them (carrying).
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Order of Operations With Rational Numbers - Homework 22.4

For Students 5th - 7th
Learners solve 12 order of operation expressions involving addition, subtraction and multiplication with fractions. They solve one order of operations word problem.
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Subtracting Bigger Numbers: 2 and 3-Digit Numbers

For Students 3rd - 5th Standards
Subtraction problems are simple - or are they? Fourth graders subtract 2-digit numbers from 3-digit numbers in different formats, including vertical problems, horizontal problems, and word problems. Use this resource at the end of your...
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Multiplying by 2-Digit Numbers

For Students 4th - 6th Standards
Need some practice multiplying large numbers? Bring this list of problems to your fifth grade class to use as a review of multiplication of 3 digit numbers by 2 digit numbers. The format of this resource makes it a good quiz or homework...
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Adding 2-Digit Numbers, part 4

For Students K - 2nd Standards
Practice adding it up! A very straightforward worksheet includes 36 addition problems, all with two-digit addends. Great for a timed math drill or a comprehensive review activity.
6:24
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How Do You Subtract Whole Numbers?

For Teachers 3rd - 6th
Line up your numbers! The instructor shows you how to line your numbers up by place value. Then step-by-step she subtracts each place value. She demonstrates how to borrow when the top value is less than the bottom value you are...
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Mixed Numbers and Decimals

For Students 3rd - 5th Standards
Mixed numbers made easy! Use a worksheet on fractions and decimals to help your fourth graders master converting mixed numbers to decimals - and vice versa. They work on mixed numbers and decimals, and then convert three fractions into...
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Divisor The Great! (Divide by Two-Digit Divisors)

For Teachers 5th
Manipulatives make learning division easier! Your class will discover the difference between dividing with one- and two-digit divisors, and practice the procedures for each using the standard algorithm. They will use estimation to ensure...
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Mixed Fraction Quiz

For Teachers 3rd - 5th
Quiz the class on their ability to correctly identify both mixed numbers and fractions. As this collection of slides progresses learners either shout out or raise their hands to correctly identify the mixed number or fraction shown. Each...
1 In 1 Collection
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Intro to Adding/Subtracting Rational Numbers

For Teachers 6th - 8th Standards
Masterminds get creative by translating a story into a math problem. The story is about Joe and his summer job. Learners will practice applying operations to rational numbers in order to figure out his daily profit over two weeks. 
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Using Compensatory Numbers to Subtract

For Teachers 2nd
Second graders start thinking about compensatory numbers and how they can be used to subtract without regrouping. They work through a series of four activities that span several days and engage them in pair work and problem solving with...
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Dividing Whole Numbers by 5

For Teachers 3rd - 4th
Solve division problems by using strategies with your class. Scholars will explore how to divide whole numbers by 5. They perform guided practice worksheets and play whole class games to practice this skill. This lesson includes...
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Scientific Notation Operations

For Students 8th Standards
How do you operate with numbers in scientific notation? The resource provides examples on how to divide and multiply with numbers written in scientific notation. The handout and video also cover the procedure for addition and subtraction...
4:11
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The Order of Operations is Wrong

For Students 7th - 12th Standards
PEMDAS is not all that it is cracked up to be. The short video provides an argument that the order of operations may not be instructionally sound. The presentation shows that understanding the concepts and properties of mathematics...
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Complex Numbers

For Teachers 10th - 12th
Build on your class' understanding of real numbers as they begin working with complex numbers. Pupils begin with an exploration of i and the patterns in the powers of i. After developing a definition for i, they simplify complex number...
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Complex Numbers

For Students 9th - 12th Standards
Are complex numbers and binomials similar? This stack of slides provides an introduction to complex numbers and shows how to operate with them. The worked examples show a connection between operating with binomials and operating with...
7:41
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How Do You Multiply a Two-Digit Number by a Two-Digit Number Using Partial Products?

For Teachers 5th - 7th
What are partial products? The teacher uses a geometric model to illustrate how to break up double digit numbers to find the product of the numbers being multiplied. It's a good visual for your students who might need to see how the math...
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Integer Order of Operations Worksheet

For Teachers 5th - 7th Standards
Practice, assess, or review mathematicians' skills with this integer worksheet addressing order of operations using positive and negative integers, and solving equations in which letters stand for numbers. 
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Operation Snowman

For Students 3rd - 6th Standards
Reinforce math operations—addition, subtraction, multiplication, and division—with an interactive math practice that challenges scholars to read word problems and choose the operation necessary to find the right answer. Each correct...
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Basic Math Order of Operations 3

For Students 4th - 8th
In this order of operations worksheet, students complete order of operations problems including all 4 operations and one and two digit numbers. Students complete 16 problems.
4:04
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What are Inverse Operations?

For Teachers 6th - 12th
Explore inverse operations. Video viewers watch as a teacher shows how to "undo" an operation by using the opposite operation. By the end, learners should grasp that addition is the opposite of subtraction and division is the opposite of...
2:34
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How Do You Use the Order of Operations?

For Teachers 6th - 9th
It is imperative that all your mathematicians know and understand the order of operations. This one skill can make or break young math learners. If they don't understand the order, many wrong answers will be gotten. So take the time to...
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The Fibonacci Sequence

For Teachers 6th - 8th
Students investigate a numerical pattern and look for evidence of mathematical patterns in nature. They solve puzzles and work with a partner to predict sequential numbers in a series.
7:34
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How Do You Divide a Two-Digit Number by a One-Digit Number With No Remainder?

For Teachers 2nd - 5th
The instructor draws a diagram to represent a given value using base 10 blocks. She shows how to divide it up into groups just to give you a visual. She then demonstrates how to solve the problem using the long division method.
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Study Jams! Addition & Subtraction Equations

For Students 5th - 7th Standards
Zoe is decorating a cake for her grandpa's birthday and needs to know how many more candles to add. Follow along as she explains how to set up and solve algebraic equations in this step-by-step presentation. Equations with negative...
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Using a Number Line: 5th Grade Math

For Teachers 5th
Working in groups, the class will use what they know about whole number operations to solve a real-world problem involving a number line. They will focus on using the number line to correctly label the placement of whole numbers,...
8:24
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How Do You Multiply a Two-Digit Number by a Two-Digit Number Using Partial Products?

For Teachers 6th - 12th
What are partial products? The teacher uses a geometric model to illustrate how to break up double digit numbers to find the product of the numbers being multiplied. It's one method and is a good visual for your students who might need...
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Negative Numbers

For Teachers 6th - 7th
Sixth and seventh graders investigate the concept of negative numbers. The instructional activity begins with a review of positive numbers and progresses to the various operations with negative numbers. The instructional activity...
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As If Numbers Weren't Complex Enough Already!

For Teachers 9th - 12th Standards
The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a...
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Numbers and Operations as Words

For Students 4th - 5th
Teach numbers in word form with this activity. In this numbers and operations worksheet, learners solve 22 problems in which numbers are written in word form. Students solve the problems and write their responses in word form. Example:...
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Domain: Operations and Algebraic Thinking

For Teachers K - 2nd
Practice basic operations for young mathematicians in fun ways! Using two decks of cards (Ace through 10 plus the joker), learners play "memory" by matching numbers that can be added to make 10 and writing number sentences. In another...
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Numeracy

For Teachers K
Students review numbers, number systems and the number operations through the use of online webpages.
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Signed Numbers and Order of Operations Ii

For Teachers 8th
In this signed numbers worksheet, 8th graders simplify integer problems through addition, multiplication, division, or subtraction. The majority of the 26 problems contain a minimum of 3 integers, and some more. Four problems contain...
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Signed Numbers and Order of Operations I

For Teachers 8th - 9th
In this signed numbers worksheet, young scholars simplify equations by using the indicated operation. They add, subtract, multiply, and divide equations containing two to four positive and negative integers. Three of the 25 equations...
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Number: Whole Numbers and Decimals

For Teachers 4th - 6th
Students explore whole numbers and decimals. In this decimal instructional activity, students discover how to perform multiplication with decimals as they complete a worksheet.
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Operations on Matrices

For Teachers 10th - 12th
A guided lesson using the WolframAlpha computer program. The class explores the basic operations of adding, subtracting, multiplying and dividing matrices to solve problems.
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Choose the Operation - EL 11.9

For Students 5th - 6th
In this problem solving worksheet, students read a story problem and then follow the four steps to organize information, choose an operation, and solve.
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Integer Operations and Solving Equations

For Students 6th - 8th
Middle schoolers solve 24 computation problems in two sets. They complete seven integer operations problems, then solve six problems involving order of operations and absolute value. Pupils use substitution to solve one equation. They...
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Algebra: Expressions With Rational Numbers - Reteach 23.1

For Students 5th - 7th
Here is an expressions with rational numbers worksheet. Learners practice algebra skills as they evaluate eight expressions for the given values.
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Adding and Subtracting Fractions and Mixed Numbers

For Teachers 4th - 6th
Elementary schoolers participate with their teacher's instruction to learn to add and subtract fractions and mixed numbers. They use fraction strips to complete addition and subtraction problems. A step-by-step script is provided to help...
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Peanut Butter and Jelly and Order of Operations

For Teachers 4th - 5th Standards
Study order of operations using a peanut butter and jelly sandwich activity as your guide. The class watches you make a peanut butter and jelly sandwich based on a volunteer's instructions. They discuss the importance of following...
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Evaluating Using The Order of Operations

For Teachers 6th - 8th
Scholars are introduced to the usage of the Order of Operations. They explore the use of variables and how they are represented by any letter of the alphabet. They then engage in discussion for verbal assessment.
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Order of Operations in the Real World

For Teachers 6th - 8th
Real world math applications are a great way to showcase the order of operations. Middle schoolers write numerical expressions for word problems involving order of operations, then calculate costs of merchandise and find discounts.
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PEMDAS: Order of Operations

For Teachers 5th - 8th Standards
Learners complete algebraic equations. They learn the algebraic order of operations and the acronym, PEMDAS, to help them remember the correct order of operations. Pupils complete algebraic equations using the order of operations.
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Signed Numbers and Order of Operations II

For Teachers 7th - 8th
In this signed number worksheet, students find the sum and difference of positive and negative integers. They use the order of operations to solve equations containing exponents and parenthesis. Students complete 26 problems.
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Summary of operations with integers

For Teachers 7th - 9th
In this integers worksheet, students perform a summary of how to properly perform operation on integers.  Addition, subtraction, multiplication, and division operations are shown with signed integers.  Dividing by zero is also covered.
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The Complex Numbers

For Teachers 9th - 10th
In this algebra worksheet, students solve 16 problems involving imaginary numbers. In the first three, students find the square root of 3 negative numbers in terms of i. Nine problems involve addition, subtraction, multiplication and...
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Complex Numbers and Operations

For Teachers 8th - 10th
In this algebra worksheet, learners add, subtract and multiply using complex numbers. They apply the correct property of i as they solve. There are ten questions with an answer key.
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Grade 1: Order and Operations Formative Assessment Task

For Teachers 1st
8 + ? = 11  Can you figure out what number is missing from this equation?  Assess your first graders’ ability to determine the unknown whole number in an addition or subtraction equation relating to three whole numbers by observing how...
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Intro to Adding/Subtracting Rational Numbers

For Teachers 6th - 8th Standards
How can you add two numbers and arrive at zero? Use negative integers! Assign each group a different problem to solve as a team. The lesson plan says to have them use Geometer's Sketchpad® to check their answers, but if you do not have...
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Properties of Operations as Strategies

For Students 4th - 7th
Which property is shown? Scholars examine 10 multiplication equations to determine which property each displays. The properties aren't written for them, so this is a little more challenging. There are no numbers over 12 here. 
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Add It Up In Number Ville! Adding 2-Digit Numbers With and Without Regrouping

For Teachers 2nd - 4th
Students explore adding 2-digit numbers. In this math lesson, students identify 2-digit numbers and use base ten blocks to practice adding. Students use addition to break a code.
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Add Positive And Negative Numbers

For Teachers 6th - 8th
Scholars investigate the concept of adding positive and negative numbers. They practice adding using the number line for scaffolding. This can be done as a game for younger learners, but may also be helpful for engaging the older pupils.
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Adding and Subtracting Fractions and Mixed Numbers

For Teachers 4th - 6th
Students add and subtract fractions and mixed numbers. In this fractions worksheet, students learn how to add and subtract mixed numbers based on their knowledge of adding and subtracting fraction with a teacher led question and answer...
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Comparing Numbers to 100

For Teachers 1st - 2nd
Have your budding math analysts compare numbers up to 100. Here are 2 worksheets that each include 60 problems where learners use the appropriate symbol to determine which number is greater than, less than, or equal. An answer key for...
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Multiplying Mixed Numbers - Pre Algebra Help

For Teachers 5th - 7th
In need of a little help in learning or teaching how to multiply mixed numbers? This tutorial demonstrates how to do this in a clear, slow, and easy to follow way. The instructor in this clip is less than enthusiastic and may not hold...
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Number and Operations in Base Ten

For Teachers 1st
First graders use cubes and counters to demonstrate their understanding of counting and two-digit numbers. Scripted questions aid in assessing learners and encouraging reasoning.
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Multiplication of Whole Numbers

For Students 3rd - 5th
Break up multiplication into more easily conceptualized math operations. Scholars first examine an array of apples and write a multiplication sentence to represent it. Then, they determine which of four sets of addends is equivalent to a...
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Multiplication of Whole Numbers

For Students 3rd - 5th
Rather than simply have your scholars memorize multiplication facts, be sure they understand the process behind each equation. There are four arrays of objects here; mathematicians write a multiplication sentence for each. Next, they...
1 In 1 Collection
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Grade 2 Supplement Set A5 – Number and Operations: Multi-Digit Addition and Subtraction

For Teachers 2nd
Provide learners with supplemental hands-on activities to reinforce direct instruction. Four activities give them the opportunity to use what they know about place value, base ten, skip counting, and problem solving to become well...
1 In 1 Collection
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Grade 2 Supplement Set A2 – Number and Operations: Place Value

For Teachers 2nd Standards
If your learners are learning about place value and number value comparisons, this set of engaging activities and worksheets will make your job easy! Scholars use math manipulatives to estimate and then determine how many seeds a colony...
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Operations and Whole Numbers

For Students 4th - 6th
Remind sixth graders of the traditional algorithms often used to solve mixed equations with a lesson on operations and whole numbers. Because young mathematicians often make mistakes and find these methods inefficient, the bulk of the...
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Properties of Real Numbers

For Teachers 7th - 8th Standards
Students use paper cups and colored chips to observe properties of operations with real numbers. As a class, students brainstorm and use manipulatives to demonstrate associative, commutative, distributive identity and inverse properties....
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Order of Operations With Rational Numbers - Practice 22.4

For Students 5th - 6th
In this ordering all four operations instructional activity, students order operations with rational numbers and evaluate each expression. Students write and solve seventeen problems.
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Logical Operators

For Students 6th - Higher Ed
As the author in this video states, "life is complex", and to handle this complexity, programming languages use something called Boolean operators. This video shows how to setup a conditional statement that relies on both of two things...
15:39
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Singapore Math: Grade 3a, Unit 1 (part 8)

For Students 3rd
Sal provides a series of numbers for viewers to consider. They must attempt to identify the number pattern and predict the next two numbers in the sequence. The video contains various problems involving place value and pattern...
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First: Operations and Algebraic Thinking Formative Assessment Task

For Teachers 1st
How many animals does Old McDonald have on his farm? First graders solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20 by using objects, drawings, and equations with a symbol for the...
6:25
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How Do You Multiply a Three-Digit Number by a One-Digit Number?

For Teachers 6th - 12th
The teacher gives a very thorough explanation of how to set up and multiply numbers vertically. She emphasizes place value and where the numbers go when you multiply them (carrying).
7:30
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How Do You Write a Whole Number Given in Words in Standard Form and in Expanded Form?

For Teachers 5th - 8th Standards
You are given a number that is written out in words and now you have to write it in numerical form, and you have to write it in expanded form. The teacher helps you identify the period values and the place values to write the words in...
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Dividing by One-Digit Numbers

For Students 4th - 5th
Looking for a division drill including remainders? You've found one! There are 12 long-division equations here, and scholars show their work in solving each one. These all have three-digit dividends, one-digit divisors, and remainders....
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Number and Operations in Base ten: formative Instructional and Assessment Tasks

For Teachers 1st Standards
Scripted questions and a Continuum of Understanding rubric make it easy to assess your first graders' ability to count to 120, to read and write numerals in this range, and to demonstrate understanding of two-digit number representations...
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Division by 1-Digit Numbers #2

For Students 4th - 5th Standards
Start simple as mathematicians begin long division with remainders. These 16 problems are in two sections with fraction remainders in the first eight and unit remainders in the second eight. Each problem has a single-digit divisor and...
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Numbers and Operations

For Teachers 6th - 8th
Students practice using proportions to discover the fraction needed to use the right amount of an ingredient. They calculate the number of ounces in one gallon as well. They answer questions to complete the lesson.
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Greater Than, Less Than: Numbers to 9

For Students K - 2nd
Young scholars examine 10 pairs of single-digit numbers to determine whether the first number is greater than or less than the second one. They write the symbol for greater than, less than, or equal to in a circle between the each pair...
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Two-Digit Addition

For Teachers 2nd - 3rd
In need of a few good problems for the class to solve every morning? Each of the eight slides contain six double-digit addition problems which would be perfect as a morning math warm-up, skills and drills practice, or to be completed as...
5:46
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How Do You Find the Value of a Digit in a Whole Number?

For Teachers 2nd - 5th
The instructor illustrates place value by first drawing a place value chart. Then she inserts the numbers in question so she can find the value of certain digits. I think her chart really helps visually.
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Complex Numbers and Transformations

For Teachers 9th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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Applying the Properties of Operations to Add and Subtract Rational Numbers 1

For Teachers 7th Standards
Apply properties of operations to work with mixed numbers. The first lesson of two that works with properties of operations focuses on mixed numbers and converting opposites of sums. Pupils work with properties of operations to break...
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Applying the Properties of Operations to Multiply and Divide Rational Numbers

For Teachers 7th Standards
Use properties to evaluate several multiplications and divisions. The 16th lesson in a series of 25 shows scholars how they can use properties of operations to help evaluate complex numerical expressions involving multiplication and...
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Applying the Properties of Operations to Add and Subtract Rational Numbers 2

For Teachers 7th Standards
The ninth part in a 25-part series emphasizes the importance of using properties of operations in evaluating sums and differences of rational numbers. Pupils solve problems and provide justifications from one step to the next.
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Complex Number Operations

For Teachers 10th - 12th Standards
What do animated videos have to do with mathematics? Using operations of complex numbers and their representations on the complex plane, high schoolers observe how mathematics could be used to move animations. The lesson provides an...
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Operations with Rational Numbers

For Students 7th Standards
Add an engaging resource to your lessons on rational numbers and watch your pupils' understanding multiply. Learners determine rules for adding, subtracting, multiplying, and dividing integers. Individuals then extend these rules to all...
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Investments—Performing Operations with Rational Numbers

For Students 7th Standards
Partners fill out a register to record transactions on a college investment account. They use the amounts listed to calculate the running and current balance of the account, providing experience in adding and subtracting rational numbers. 
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Read Expressions in Which Letters Stand for Numbers II

For Teachers 6th Standards
Reading and writing take on a whole different meaning in math class. Young mathematicians learn to read verbal phrases by focusing on operation words. They write equivalent algebraic expressions for both mathematical and contextual...
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Number Line: Negative Numbers

For Students 6th - 8th
In this graphing calculator worksheet for the TI-83 calculator, students first observe a demonstration for calculating negative numbers. Next, students use their graphing calculator to answer 6 thoughtful T/F and short answer...
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Performing Operations With Signed Integers

For Teachers 5th - 7th
Need a great activity to get your class performing operations with signed integers? Here are six different worksheets to use with lessons on adding, subtracting, multiplying, dividing, and problem solving with integers. This would also...
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Addition of Two and Three Digit Whole Numbers

For Teachers 2nd - 4th
This is a cute activity that kids will be able to relate to. They are shown how to trade tens and regroup when adding and subtracting two digit numbers. The nice thing about this activity is that it can be personalized to fit your class.
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Whole Number Cruncher

For Students 6th - 8th Standards
Time to crunch the numbers! Young scholars use an interactive number cruncher to practice operations with whole numbers. They input a number and watch as the number cruncher produces the output and then use the data pairs to determine a...
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Identifying Irrational Numbers

For Students 8th - 9th Standards
These numbers have some personality! Are they rational or irrational? The lesson examines the definitions of rational and irrational numbers and shows examples of how to identify them. 
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Distance and Complex Numbers 1

For Teachers 11th - 12th Standards
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
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Calculating and Rounding Numbers

For Teachers 7th - 9th Standards
Mathematicians need to know that not all numbers are rational. We approximate irrational number with rational numbers. That is why a calculator may be misleading. This task give learners an opportunity to see how rounding a number and...
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Encoding Numbers in the Real World

For Teachers 9th - 12th
Ah, the numerous number of numbers. Individuals research different ways of encoding numbers. After conducting their initial research, they find classmates who have researched a different article and the pair share information. The lesson...
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Computations with Complex Numbers

For Teachers 9th - 12th Standards
This quick set of problems provides a brief refresher on the arithmetic of complex numbers. Learners need to multiply, add and subtract, and remember features of i when raised to a power. Included solutions are clear enough that learners...
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Understand Subtraction - Take Whole Tens

For Students K - 1st Standards
Use a number line to demonstrate subtracting by tens. Learners "hop" backwards down a tens number line to complete subtraction equations. Several different ways to express the operation are included. 
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Fractured Numbers

For Students K - 12th Standards
Don't use use a fraction of the resource — use it all! Scholars attempt a set of five problem-of-the-month challenges on fractions. Levels A and B focus on creating fractions and equivalent fractions, while Levels C, D, and E touch on...
7:18
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Review Properties of Real Numbers While Simplifying Expressions

For Students 8th - 11th
Simplify the process of simplifying expressions. Scholars learn to simplify expressions by first applying properties of operations. This process makes the expressions easier to work with and simpler to evaluate.
4:27
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Order of Operations

For Students 5th - 7th Standards
This resource shows how to evaluate complex statements using the order of operations. Mr. Khan explains that the parenthesis takes precedent, exponents are second, multiplication and division are the next to be solved, and addition and...
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Business Basics (Numbers Operations)

For Teachers 7th
Seventh graders solve problems using order of operation. In this algebra lesson, 7th graders compare and contrast rational and irrational numbers. They create a T-chart to help differentiate between the two.
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Multiplying with Egg O

For Teachers 3rd
Third graders multiply whole numbers by one and two digit numbers using base ten blocks and Egg O multiplication game. students pass out egg cartons, counters, and a record sheet to each group.
6:54
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How Do You Write a Whole Number Given in Words in Standard Form and in Expanded Form?

For Teachers 3rd - 5th
You are given a number that is written out in words, you have to write it in numerical form, and then you have to write it in expanded form. The teacher helps you identify the period values and the place values to write the words in...
6:44
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How Do You Write a Whole Number Given in Standard Form in Expanded Form and in Words?

For Teachers 6th - 8th
The instructor does a good job explaining place value. She identifies each value and shows how to multiply the given number by place value to get it in expanded form. Once she has it in expanded form she demonstrates how to write it out...
4:07
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How Do You Add Complex Numbers by Graphing in the Complex Plane?

For Teachers 10th - 11th
Graphs usually add an extra dimension to ones understanding of mathematical concepts and graphing complex numbers is no exception. This video shows to graph complex numbers on the complex plane and what the results of adding complex...
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Order of Operations

For Students 6th - 7th
In this math worksheet, students read about the order of operations and view examples. Students then answer 6 order of operation problems.
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Operations with Positive Fractions and Decimals

For Teachers 5th - 8th
Explore the concept of fractions and decimals! In this fractions and decimals instructional activity, pupils use fraction tiles to express fractions. They play a fraction review basketball game where when a team gets a question correct...
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Choose the Operation: Plus or minus (up to 100)

For Students 2nd - 4th Standards
Investigate the relationship between addition and subtraction as scholars fill in these number sentences, each of which is missing a symbol. Is it a subtraction or addition equation? There are 20 of these to start, all written...
3:10
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How Do You Use Multiplication With Positive Numbers to Solve an Inequality Problem?

For Teachers 6th - 9th
Broken lights at the skating rink? Are there enough not broken to be able to see well enough to skate? Set up this real-world word problem and find the total number of lights in the skating rink. Two given values and one variable. Solve...
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Combining List Operations

For Students 9th - 12th
Use list operations to modify an earlier version of Tic Tac Toe. The fourth lab in a series of five has pupils combine list operations to build more powerful operations. They take a project from a previous unit and enhance it to keep...