EngageNY
Mathematical Area Problems
Teach the connection between area models and the distributive property through problem-solving. The 22nd activity in a series of 29 explains the distributive property graphically. Learners build area models from word problems and convert...
Curated OER
Worksheet #2: Algebraic Expressions
In this algebraic expression worksheet, learners evaluate algebraic expressions involving the addition, subtraction, division, and multiplication of negative and positive integers. Students identify mathematical properties and find the...
Curated OER
The Nuts and Bolts of a Mathematical Expression
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.
Education Development Center
Writing Numerical Expressions—Hexagon Tables
Explore a basic pattern to practice writing expressions. In collaborative groups, learners examine a contextual pattern and write an expression to model it. The task encourages groups to describe the pattern in multiple ways.
Mathematics Vision Project
Module 7: Structure of Expressions
The structure of an expression is a descriptive feature. Learners build a solid understanding of quadratic functions using an analysis of expressions in different forms. The seventh module in a series of nine includes 12 lessons...
Illustrative Mathematics
Ice Cream
Algebra learners can always relate to ice cream. In this case, a carton of ice cream has been at room temperature for t minutes. Given an expression for the temperature of the ice cream, it is up to your number crunchers to...
Mathematics Vision Project
Module 5: Rational Functions and Expressions
Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...
Illustrative Mathematics
Kitchen Floor Tiles
An interesting way to look at the kitchen floor is to count the number of tiles in the border. Fred starts with four white floor tiles and writes an expression for the number of tiles needed for the colored border. Algebra learners are...
National Security Agency
Equations and Expressions
Learners demonstrate their knowledge pictorially, concretely, and abstractly in this unit meant to last three hours over three days. Using hands-on activities, manipulatives, real-world applications, and problem...
Mathematics Assessment Project
Seeing Structure in Expressions
Structure makes everything easier — even math. A helpful resource contains five short problems that require pupils to use the structure of the expressions in order to answer the questions.
Virginia Department of Education
Middle School Mathematics Vocabulary Word Wall Cards
Having a good working knowledge of math vocabulary is so important for learners as they progress through different levels of mathematical learning. Here is 125 pages worth of wonderfully constructed vocabulary and concept review cards....
Curated OER
Simplify expressions and Combine Like Terms
Students will use the distributive property to simply expressions by removing parentheses from the expression. Like terms will then be combined to completely simplify the expression.
Curated OER
From Expressions to Equations
Learners differentiate between expression and equation by evaluating integers and observing the difference. They use the TI to see the steps to solve problems.
EngageNY
Algebraic Expressions—The Commutative and Associative Properties
Who says math is boring? Turn dry concepts like properties and vocabulary into an interesting lesson! Examine the commutative and associative properties of addition and multiplication using geometric reinforcement. Through collaboration,...
Curated OER
Exponential Expressions - Perfect Squares, Square Roots
Color tiles are used to model perfect squares. Alone or in pairs, middle schoolers will find patterns. Afterward, the relationship between perfect squares and roots will be discussed as a whole class.
Curated OER
Simplify the expressions-no exponents
In this distributive property worksheet, learners use the distributive property to simplify expressions without exponents. Students complete 10 problem.
Illustrative Mathematics
Miles to Kilometers
Can your mathematicians come up with an easy way to convert miles to kilometers? Start by asking learners to write an algebraic expression for each of the descriptions given. Once they determine that they are both the same, ask...
Balanced Assessment
Birthday Card
Add a twist to the practice of simplifying expressions. The task asks scholars to decode a mathematical puzzle using their knowledge of expressions. If they are able to write and simplify the expression, the mathematics behind the puzzle...
Balanced Assessment
Transformation II
Develop a solid understanding of the manipulation of expressions to produce equivalent expressions. Given an expression, pupils rearrange it to create a new one. Their new functions must match the structure of the model expressions.
EngageNY
Using the Identity and Inverse to Write Equivalent Expressions
The fifth installment in the series of 28 lessons helps math scholars explore the result of adding opposite numbers and multiplying reciprocals. Through this exploration, they develop a working definition of identity and inverse properties.
Curated OER
Algebraic Expressions & Equations
In this algebraic expressions and equations worksheet, 9th graders solve 12 various types of problems ranging from writing expressions for each written equation to solving 8 different word problems related to cost, speed, age, and...
Curated OER
Multiplying and Dividing Rational Expressions
For this college level worksheet, students multiply and divided rational expressions and simplify the answers. The two page worksheet contains sixty-two problems. Answers are provided.
Curated OER
Variables and Expressions
In this variables and expressions worksheet, students solve and complete 20 different problems that include various types of expressions. First, they write a variable expression of each given algebraic expression. Then, students write an...
Utah Education Network (UEN)
Simplifying Exponential Expressions
This exponential expression resource has each of the class members determine the value of given exponential expressions. They use their calculator to find the values and identify patterns. Besides writing the numbers exponentially, they...