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Illustrative Mathematics

3-D Shape Sort

For Teachers K - 2nd Standards
From the apple on your desk and the coffee cup in your hand, to the cabinets along the classroom wall, basic three-dimensional shapes are found everywhere in the world around us. Introduce young mathematicians to the these common figures...
Lesson Plan
EngageNY

Writing Products as Sums and Sums as Products

For Teachers 7th Standards
Create rectangle and area models to help students understand expressions. The third installment in the 28-part series has pupils first represent expressions using rectangular array models. The exercises help scholars understand the...
Activity
Illustrative Mathematics

Tangent to a Circle From a Point

For Teachers 9th - 10th Standards
Learners see application of construction techniques in a short but sophisticated problem. Combining the properties of inscribed triangles with tangent lines and radii makes a nice bridge between units, a way of using...
Activity
Illustrative Mathematics

Slopes and Circles

For Teachers 9th - 12th Standards
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas...
Lesson Plan
Curated OER

Representing Relationships with Equations

For Teachers 2nd - 3rd
Students explore Cuisenaire Rods.  In this pre-algebra lesson, students work with a partner to generate addition problems with the sum of ten using Cuisenaire Rods. Students construct examples of the Commutative Property using...
Worksheet
Curated OER

Factoring

For Students 8th - 9th
In this factoring worksheet, young algebra pupils practice factoring a binomial that is the difference of two squares and factoring by grouping terms for polynomials of four terms. 
Worksheet
Curated OER

Partner Problems: Linear Equations and Inequalities

For Students 9th - 10th
In pairs, learners solve linear equations. This worksheet contains two pages and ten multi-step linear equations for each student to solve. Which means there is a total of 20 problems.
Worksheet
Curated OER

Algebra Worksheet: Number systems

For Students 10th - Higher Ed
This worksheet was originally created for a college level algebra class. It does contain some interesting questions about number and quantity that are important for algebra learners to understand. Natural numbers, integers, rational,...
Interactive
Curated OER

Rational Numbers

For Students 9th
In this Algebra I worksheet, 9th graders identify properties from the real number system and use the distributive property to collect simplify expressions with parentheses.  The one page interactive worksheet contains five multiple...
Worksheet
Curated OER

Using Proof in Algebra

For Students 10th
In this using proofs in algebra worksheet, 10th graders solve 2 proofs by applying the many rules from algebra for the Properties of Equality for real numbers. They name the property that justifies each statement as seen in the...
Worksheet
Curated OER

Algebra Challenge: One Variable Equations

For Students 8th - 10th
In this equation worksheet, students solve one-step algebra equations. They use the distributive property to solve two-step algebra equations. This one-page worksheet contains 20 problems.
Lesson Plan
Curated OER

Division Problems with 0 and 1

For Teachers 3rd - 4th
Learners explore beginning division. In this division number properties lesson, students solve simple division story problems using cookies. Learners create models that represent the identity and zero properties, then write explanations...
Worksheet
Curated OER

Rational Numbers

For Students 9th
In this rational numbers worksheet, 9th graders solve and complete 12 different problems by dividing each equation. First, they use the division rules given at the top of the sheet to determine how they are going to solve each problems....
Lesson Plan
Curated OER

Commutative Property

For Teachers 1st
First graders investigate the Commutative Property of Addition. It is introduced using models such as students, counters, balances and dominoes. They discover the order of the numbers in an addition sentence does not change the result...
Worksheet
Curated OER

Solving Equations

For Students 9th
In this solving equations worksheet, 9th graders solve and complete 14 different problems that include multiplication and division. First, they solve each equations using either the multiplicative property of equality of the division...
Lesson Plan
Curated OER

Design a Track

For Teachers 7th - 9th
Pupils investigate track and field dimensions, measure an actual track, and construct a scale model. The use of a meter stick, dimensional analysis, and the application of the distributive property to variables forms the main focus of...
Lesson Plan
Curated OER

Properties of Air

For Teachers 4th
Fourth graders participate in a demonstration lesson using bubbles in which they determine that air fills the bubbles. Next, they work in small groups as they they experiment with the properties of air at separate work stations. After...
Worksheet
Curated OER

Simplifying Distribution Worksheet

For Students 7th - 9th
In this simplifying distribution worksheet, students solve problems with one variable using the distributive property. They place their answers in the answer box provided on the internet. Students are able to view step-by-step problems...
Worksheet
Math About

Introduction to Complex Numbers

For Students 10th - 12th Standards
In this complex number learning exercise, learners explore the properties of imaginary numbers to find the square roots of negative numbers. Explanations and examples are given prior to the exercise. This two-page learning exercise...
Worksheet
Curated OER

Solving Equations and Formulas

For Students 9th
In this equations and formulas worksheet, 9th graders solve and complete 10 different problems. First, they solve for each stated variable using the properties of equality to isolate the specified variable on one side of the equation....
Worksheet
Curated OER

Solving Equations

For Students 8th - 9th
In this solving equations activity, students solve and complete 15 different problems. First, they isolate the variable on one side of the equation using the addition/subtraction property of equality. Then, students check each solution...
Worksheet
Curated OER

Multiplying Polynomials

For Students 9th
In this multiplying polynomials activity, 9th graders solve and complete 9 different problems. First, they find each product by either using the distributive property or multiplying polynomials vertically. Then, students combine like...
Worksheet
Curated OER

My Test Book: Multiplication Skills

For Students 5th - 7th
In this math skills worksheet, students solve 10 multiple choice math problems regarding properties of multiplication. Students may view the correct answers.
Worksheet
Curated OER

New York State Testing Program Practice

For Students 8th
In  this standardized test preparation worksheet, 8th graders solve several varying problems.  This twelve page test preparation worksheet asks students to show their work and explain how they arrived at their answers. 

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