Curated OER
Pattern Puzzles
A short video introduces place value in addition and subtraction. As a class, your students identify all even numbers up to one hundred and explain the pattern. They use addition strategies to fill in the missing numbers on the number grid.
EngageNY
Complex Numbers as Vectors
Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...
Illustrative Mathematics
Naming the Whole for a Fraction
How many different ways can you represent a whole? In a picture that represents six parts (two of which are shaded), learners are asked to label the parts appropriately to show how three different mathematical interpretations can be...
Curated OER
Representing Fractions, Decimals, and Percents
In this fractions, decimals, and percents lessons, students explore various methods of representing fractions. They demonstrate situations that represent rational numbers. Students create a foldable exploring fractions, decimals and...
Illustrative Mathematics
Converting Decimal Representations of Rational Numbers to Fraction Representations
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of such...
Curated OER
Powers and Roots of Complex Numbers
Explore a few powers of complex numbers numerically and decide if there is a pattern and use parametric equations to represent a complex number graphically. Use De Moivre's theorem to represent the roots of the complex number...
Willow Tree
Patterns - Numbers, Shapes, etc.
Find the pattern is the name of the game! Learners examine different patterns represented by numbers, shapes, and words. They must describe the pattern, predict the result in a given position, and find an equation that represents a...
Curated OER
Sharing Brownies: Fractions That Represent a Fair Share
Elementary graders discover the concept of fractional pieces of a whole. They investigate the meanings of fractions in everyday life and why they are used. Pupils divide brownies amongst each other to demonstrate the use of fractions...
Virginia Department of Education
Properties of Real Numbers
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....
Illustrative Mathematics
Plastic Building Blocks
Let's build a castle! Dennis and Cody have big plans, but do they have enough blocks between the two of them to accomplish their goal? A great context that requires students to add and compare mixed numbers. Encourage the use of pictures...
Curated OER
Multiplying Whole Numbers and Decimals
Upper elementary and middle school learners explore number sense by completing a list of multiplication problems in class. Learners discuss the difference between whole numbers and decimals while solving multiplication problems. They...
Curated OER
Is Bigger Always Better?
Explore rational numbers with the young mathematicians in your class. They will investigate decimals, fractions, and percents before ordering and comparing rational numbers. This multi-day unit includes differentiation activities and...
Illustrative Mathematics
Irrational Numbers on the Number Line
There are four irrational numbers that participants need to graph. Pi(π), -(½ x π), and √17 are easy to approximate with common rational numbers. On the other hand, the commentary describing the irrational number 2√2 is not clear. It...
EngageNY
Real-World Positive and Negative Numbers and Zero II
Continuing from the previous lesson in the series, scholars learn to use positive and negative integers to describe real-world situations. In groups, they come up with their own situations for given positive and negative integers.
Curated OER
Comparing Fractions with a Different Whole
What was Bryce's mistake? Through analysis of a student work example, learners develop their own ability to compare the fractions one fourth and one half. Central to this activity is the concept that, when comparing fractions, the whole...
Utah Education Network (UEN)
Representing, Identifying, and Comparing Integers
This resource will knock your "sox" off! It comes with so many worksheets, projects, and other attachments that help you prepare your mathematicians to see positive and negative integers in the real world, including the White Sox stadium...
Curated OER
All Kinds of Numbers
Count and compare numbers and fractions using "greater than" and "less than." Learners count on by 2s and 10s and represent the end number with base ten blocks, counters, and cups. They use circle stickers to illustrate fractions and...
Curated OER
Investigation - Representing Place Value
Third graders demonstrate models to represent a 3 digit counting number. They use manipulative materials to represent place value in whole numbers. Students represent numbers in expanded notation.
Curated OER
Skittles Galore!
Youngsters show understanding of accurate division of whole number, decimals, fractions, and percents using manipulatives (candies). They use white boards to demonstrate their understanding of representing numbers as defined in the...
Project Maths
Complex Number Operations
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...
EngageNY
Grade 5 Math Module 1, Topic C, Lesson 7
Step up or step down to rounding. Using a vertical number line, the lesson shows pupils the significance of rounding up or rounding down. Teachers encourage scholars to write the number in unit form and decide which form helped the most...
Curated OER
Whole Numbers
A game is a great way to learn. Study what makes an integers, their traits, and characteristics. This lesson includes 3 separate activities intended to promote an understanding of integers, whole numbers, and opposites. The class is...
EngageNY
Part of a Whole as a Percent
Pupils use visual models, numeric methods, and equations to solve percent problems. To complete the second installment of 20, they find the part given the percent and the whole, find the percent given the part and the whole, and find the...
EngageNY
Interpreting Division of a Whole Number by a Fraction—Visual Models
Connect division with multiplication through the use of models. Groups solve problems involving the division of a whole number by a fraction using models. The groups share their methods along with the corresponding division and...