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Illustrative Mathematics

Rational or Irrational?

For Teachers 9th - 12th Standards
Is 4 plus the square root of 2 rational or irrational? After your class has gained a basic grasp of rational and irrational numbers, use this learning exercise to push them a little further in their understanding. Learners must identify...
Activity
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Oregon Department of Education

Building Number Sense

For Teachers Pre-K - 1st Standards
It's never too early to begin a child's math education. This collection of fun hands-on activities engage youngsters in building their number sense as they learn how to count objects, identify numerals, compare amounts, and much more.
Lesson Planet Article
Curated OER

Teach Students a Range of Problem-Solving Strategies

For Teachers 7th - 12th
Arming students with a multitude of strategies will help them meet their math challenges.
Worksheet
Curated OER

A-Z Tech Math Final Exam Study Guide

For Students 9th - 10th
In this math study guide, learners solve problems previously studied throughout the school year. Problems include, but are not limited to, volume, area, perimeter, square roots, binomials, trinomials, graphing, and consumer math. This...
Lesson Plan
Curated OER

Tower of Hanoi Lesson Plan

For Teachers 7th - 8th
Students investigate the Legend of the Tower of Hanoi and complete mathematical problems related to the legend. They play the Tower of Hanoi game online in order to discover the number pattern involved. They solve problems using the...
Lesson Plan
EngageNY

Factoring Extended to the Complex Realm

For Students 10th - 12th Standards
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
Lesson Plan
Curated OER

The Five Number Game

For Teachers 3rd - 5th
Students explain what it means to square numbers. They explain what it means to cube numbers. Students define prime numbers using their own language. They are introduced to the problem by playing one game as a class.
Worksheet
Curated OER

Substitution Formula

For Students 8th - 9th
For this substitution formula worksheet, students solve 9 various types of problems related to applying the substitution formula. First, they use a number line to add or subtract negative integers. Then, students substitute numbers for...
Worksheet
Curated OER

Product + 1: Integers

For Students 9th - 12th
In this integers worksheet, students solve 1 word problem using proof.  Students prove their hypothesis of the result of multiplying four consecutive positive integers and adding one to the product.
Worksheet
Curated OER

The Two Number Problem

For Students 9th - 12th
In this number problem worksheet, students solve 1 word problem about squaring numbers.  Students find two different numbers that are equal when they are squared.
Lesson Plan
Curated OER

Strong Arm Iteration

For Teachers 7th - 9th
Students solve exponential functions and inequalities. In this algebra lesson, students find the roots of equations and use it to graph and evaluate exponential functions. They simplify exponents using the law of exponents.
Lesson Plan
Curated OER

Multiplying Decimals and Mixed Numbers

For Teachers 6th - 8th
Students multiply decimals and/or mixed numbers. They explore the effects of multiplying decimals and mixed numbers. They practice estimating answers when a number is multiplied by a decimal or mixed number.
Lesson Plan
Curated OER

The Geometry of Means

For Teachers Higher Ed
In this geometry worksheet, students are given a rectangle and a square. They verify ratios when given equal perimeters or areas. Students are given adjacent squares. They find the distance between the centers, and identify the means...
Lesson Plan
EngageNY

Multiplying and Dividing Expressions with Radicals

For Students 9th - 10th Standards
That's radical! Simplifying radicals may not be exciting, but it is an important skill. A math instructional activity provides explanations of properties used throughout the material. Scholars practice skills needed to multiply...
Lesson Plan
Illustrative Mathematics

Comparing Rational and Irrational Number

For Teachers 7th - 9th Standards
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
Lesson Plan
Curated OER

Discovering Math: Computation

For Teachers 5th - 7th Standards
Middle schoolers add, subtract, multiply, and divide rational numbers. They find the square and the cube of numbers. They create a game incorporating computation on rational numbers. Everyone works together to write and evaluate...
Lesson Plan
Curated OER

The Nuts and Bolts of a Mathematical Expression

For Teachers 4th
Fourth graders complete a worksheet that asks them to order operations within a mathematical expression. students evaluate the expressions in the correct order using mental math and paper. The results are recorded on the worksheet.
Lesson Plan
Curated OER

Square Numbers Closure Activity

For Teachers 3rd - 7th
Young scholars discuss square numbers. In this math lesson, students find square numbers and support their answers. Young scholars find sums and products that are square numbers.
Lesson Plan
Curated OER

Venn Diagrams & Word Problems

For Teachers 7th - 8th
Young scholars explore the concept of Venn Diagrams through word problems. In this Venn Diagram lesson plan, students solve word problems about groups of people using Venn Diagrams. Young scholars use survey results about MySpace and...
Lesson Plan
Curated OER

Number: Index Notation

For Teachers 6th - 8th
Middle schoolers explore the concept of index notation. In this square root and cube root lesson, students examine number patterns as they complete a worksheet that requires them to calculate roots.
Lesson Plan
Curated OER

Probability - Week 6

For Teachers 11th - 12th
In this probability worksheet, students solve complex probability problems containing logarithms, radicals, and square roots. This three-page worksheet contains nine problems.
Lesson Plan
Curated OER

Online video games plus curriculum-based math equals an engaging educational tool.

For Teachers 7th
Seventh graders use online math games to practice understanding the skill of estimation and order of operations. In this lesson, 7th graders use the internet to play online games to strengthen their understanding of these skills. 
Lesson Plan
Curated OER

Understanding Pi.

For Teachers 8th - 9th
Students study the relationship between circumference and diameter to come up with Pi. "In this pi instructional activity, students measure, record and find the ratio "circumference/diameter" and their average which is an approximation...
Lesson Plan
Curated OER

Speeding By The Numbers

For Teachers 7th - 12th
Students determine speed by running or walking a given distance and dividing the distance by the time it took them to do so. They record their average speed and compare it with the speeds of other moving objects.