EngageNY
Three-Dimensional Space
How do 2-D properties relate in 3-D? Lead the class in a discussion on how to draw and see relationships of lines and planes in three dimensions. The ability to see these relationships is critical to the further study of volume and...
EngageNY
Which Real Number Functions Define a Linear Transformation?
Not all linear functions are linear transformations, only those that go through the origin. The third lesson in the 32-part unit proves that linear transformations are of the form f(x) = ax. The lesson plan takes another look at examples...
EngageNY
Graphs of Linear Functions and Rate of Change
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
Curated OER
Solving Algebraic Equations: Algebra/Geometry Institute
Students solve problems using PEMDAS. In this algebraic equations instructional activity, students evaluate expressions using real number properties. They play "Math Jeopardy" to reinforce the order of operations.
Curated OER
Investigation - Who is Right?
Third graders investigate two mathematic scenarios and determine which is correct. They compare adding columns and places (such as the tens place, hundreds place, and so on) and familiarize themselves with how to add larger numbers.
EngageNY
Multiplying and Dividing Expressions with Radicals
That's radical! Simplifying radicals may not be exciting, but it is an important skill. A math lesson provides explanations of properties used throughout the material. Scholars practice skills needed to multiply and divide...
Curated OER
Commutative Property
In this commutative property worksheet, students solve and complete 10 different problems by applying the commutative property to each. They rewrite each equation using the commutative property. Then, students write the reversed order on...
Curated OER
Equations and Inequalities: Properties
In this equations and inequalities worksheet, students complete 3 multiple choice questions testing their knowledge of various properties of the real number system.
EngageNY
Writing Products as Sums and Sums as Products
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...
Illustrative Mathematics
3-D Shape Sort
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...
Illustrative Mathematics
Tangent to a Circle From a Point
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...
Illustrative Mathematics
Slopes and Circles
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...
Curated OER
Representing Relationships with Equations
Students explore Cuisenaire Rods. In this pre-algebra activity, 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...
Curated OER
Partner Problems: Linear Equations and Inequalities
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.
Curated OER
Algebra Worksheet: Number systems
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,...
Curated OER
Factoring
In this factoring instructional activity, young algebra pupils practice factoring a binomial that is the difference of two squares and factoring by grouping terms for polynomials of four terms.
Curated OER
The Difference of Two Squares
Learners practice the use of number properties through exploring the difference of two squares, creating an array model for multiplication, and work with decimal numbers. In groups, students explore patterns in an array and determine...
Curated OER
Rational Numbers
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...
Curated OER
Using Proof in Algebra
In this using proofs in algebra instructional activity, 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...
Curated OER
Algebra Challenge: One Variable Equations
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.
Curated OER
Division Problems with 0 and 1
Students explore beginning division. In this division number properties lesson, students solve simple division story problems using cookies. Students create models that represent the identity and zero properties, then write explanations...
Curated OER
Rational Numbers
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....
Curated OER
Commutative Property
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...
Curated OER
Solving Equations
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...