EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
EngageNY
Linear Transformations as Matrices
Don't stop with two-dimensional learning, go to the next dimension! Learners verify that 3x3 matrices represent linear transformations in the third dimension. Additionally, they verify the algebraic properties that extend to vector...
EngageNY
Operations with Numbers in Scientific Notation
Demonstrate the use of scientific notation within word problems. The lesson presents problems with large numbers best represented with scientific notation. Pupils use these numbers to solve the problems in the 11th installment in a...
Curated OER
Properties of Operations
Eighth graders use the order of operation correctly. In this algebra lesson, 8th graders solve integers using the order of operation. They apply the commutative as well as the associate property to solve problems correctly.
Curated OER
Binary Operations
In this binary operations worksheet, 9th graders solve 12 different problems related to various binary operations. First, they determine whether the operation is commutative. Then, students name the identity element and explain why none...
Curated OER
Operations with Radical Expressions
In this radical expressions worksheet, 9th graders solve and complete 12 different problems that include using operations with radical expressions. First, they add or subtract each radical expression using the distributive or commutative...
Curated OER
Number Properties - Know 'em, Like 'em, Use 'em
Ninth graders express mathematical properties through creation of advertising jingles.
Mathematics Assessment Project
Representing the Laws of Arithmetic
Sixth graders connect numerical expressions to geometric area. They first complete an assessment task requiring them to identify area models for numerical expressions. Learners then participate in an activity to match area models to...
Utah Education Network (UEN)
Simplifying Algebraic Expressions
Sixth and seventh graders explore the concept of simplifying algebraic expressions. They review the order of operations and apply properties to simplify and compare them. The author suggests using a "Boxes Game" as a motivator to get...
Illustrative Mathematics
Make 9
Learning how numbers are put together as parts and wholes is a big step in building the foundational number sense of young mathematicians. Here, children are given a number less than 10 and are asked to find as many pairs of numbers as...
Curated OER
Mathematics: Prime and Composite Numbers
Sixth graders explore how to apply the commutative property and the rules of divisibility. They examine the difference between prime and composite numbers.
Curated OER
Fruity Math
Learners solve one step linear equations. In this algebra lesson, students manipulate their variables and numbers to answer each problem. They make sure the equations stay balanced at all times.
Center for Mathematics and Technology
Whole Numbers: Using an Area Model to Explain Multiplication
There are many ways to work through a multiplication problem. Using an area model, kids complete several worksheets with different types of multiplication problems, including multiplying by ten, and explain how the new strategies differ...
West Contra Costa Unified School District
Divisibility Rules Justified
How do you know if a number is divisible? Instructors first prove the divisibility rules for three and four and then class members use this modeling to prove given divisibility rules for eight and nine either individually or in...
Curated OER
Multiplying Matrices
Go over the basics of matrix multiplication, from checking the dimension of the factors, to applying the distributive property. This worksheet includes directions on when and how to multiply matrices, one example, and a few problems your...
Curated OER
Solving Linear Equations
How do you solve linear equations? Learn how to solve simple linear equations by applying properties of equality in this instructional slideshow. The materials include step-by-step instructions and key concepts to support understanding.
Curated OER
The Commutative Property
Learners explore arrays. They get into pairs and receive bags of small buttons to each group.
Buffalo State
Adding and Subtracting Integers Unit
Just because one integer is larger than another doesn't mean it will make sense right away. Go beyond note taking and show learners, through the use of algebra tiles and a Four-Pan Algebra Balance, how the numbers relate to one...
Curated OER
Distributive Laws
In this distributive laws instructional activity, students solve and complete 8 different types of problems. First, they expand each equation by removing the brackets. Then, students remove the brackets and collect like terms in each. In...
Curated OER
Expressions
In this expressions activity, students solve and complete 16 different problems related to various expressions. First, they define each of the listed terms and know each given property. Then, students state the order of operations and...
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
Multiplication and Division with Arrays
Students practice the commutative property, create and manipulate arrays and multiply and divide numbers.
EngageNY
Relationships Between Quantities and Reasoning with Equations and Their Graphs
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
Thomson Brooks-Core
Complex Numbers
A straightforward approach to teaching complex numbers, this lesson addresses the concepts of complex numbers, polar coordinates, Euler's formula, De moivres Theorem, and more. It includes a practice problems set with odd answers...