Illustrative Mathematics
Triangular Tables
Somewhat of a puzzle, this problem gets pre-algebra preteens to write an expression representing a seating chart using triangle-shaped tables. This single task is an applicable lesson for meeting sixth grade Common Core math standards....
5280 Math
Stories That Formulas Tell
Learn the stories a formula holds. An interesting lesson takes a unique approach to teach how to use formulas. Beginning with a formula, learners predict what the variables stand for and then use the formula to make calculations and tell...
Mathematics Vision Project
Module 1: Sequences
Take steps into sequences. An 11-lesson unit builds upon pupils' previous understanding of writing expressions to develop the idea of sequences. The resource explores both arithmetic and geometric sequences using recursive and explicit...
Curated OER
Who Won the Cross-Country Meet?
Pupils write verbal expressions into algebraic expressions and solve the expressions. They determine who wins a race by determining the algebraic expression.
Curated OER
Number and Consecutive Integer Problems
In this word problem learning exercise, student solve 32 number and consecutive integer problems. Learners use variables and algebraic reasoning to solve each problem.
Curated OER
Simplifying Rational Expressions
In this rational expression worksheet, learners simplify rational expressions. Explanations and examples are provided. This two-page worksheet contains 20 problems, with answers listed at the end of the document.
Curated OER
Simplifying Rational Expressions
In this rational expressions worksheet, 9th graders identify and solve 20 different problems that include simplifying various types of rational expressions. First, they define and describe a rational expression and how to find its...
Curated OER
Variable Problems
Middle schoolers complete one and two digit number word problems containing variables. They complete 10 multiple choice questions.
Jordan School District
Picture Frames and Algebra
Middle schoolers create a method for finding the area of a fame for a picture and then transfer their shared methods into algebraic expressions. They develop the algebraic language to communicate and solve problems effectively and...
West Contra Costa Unified School District
Writing Exponential Functions Based on Data
Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of...
Mathematics Assessment Project
Sidewalk Stones
One block, two blocks, white blocks, gray blocks. In the high school assessment task, learners investigate patterns of sidewalk stones to develop a quadratic expression for each colored block. Young mathematicians then use the expression...
Education Development Center
Rectangles with the Same Numerical Area and Perimeter
Is it possible for a rectangle to have the same area and perimeter? If you disregard units, it happens! In a challenging task, groups work to determine the rectangles that meet these criterion. The hope is that learners will naturally...
Mathematics Assessment Project
Generating Polynomials from Patterns
Patterns and polynomials go hand in hand. Budding mathematicians analyze sequences of dot diagrams to discover the patterns in the number of white dots and black dots. They use the identified patterns to write and simplify a polynomial...
Curated OER
Fundamental Algebraic Skills
In this fundamental algebraic skills instructional activity, students solve 11 various problems that include various algebraic skills. First, they use the coded wheel to answer 2 questions about a message. Then, students substitute the...
Math Mammoth
Rules With Subtraction
In this subtraction worksheet, learners simplify subtraction equations containing two to four terms. They write expressions for a given verbal sentence. This one-page contains approximately 25 problems.
Los Angeles County Office of Education
Assessment for the California Mathematics Standards Grade 7
In need of an all-inclusive seventh grade math resource? Packed full of the topics necessary for Pre-Algebra the packet includes practice problems with different difficulty levels. It works great for any supplemental use needed...
Curated OER
Writing Algebraic Expressions for Words
Students explore the concept of algebraic expressions. In this algebraic expressions lesson, students convert pictures and word problems into algebraic expressions. Students play a game where they tell the algebraic expression...
Pennsylvania Department of Education
Expressions Involving Variables
Sixth graders practice translating verbal expressions into algebraic expressions. For this introductory algebra lesson, 6th graders practice writing written/verbal sentences into algebraic expressions and vice versa. Students also review...
Curated OER
Scoring Guide for the Algebra 2/Trigonometry Test Sampler
High schoolers take an Algebra II/Trigonometry sample test. In this Algebra II/Trigonometry sample sample test activity, students take a sample test for Algebra 2/Trigonometry. High schoolers solve 39 multiple...
Curated OER
7th Grade Math: Algebra (Distributive Property)
With algebra tiles in hand 7th graders will uncover the wonders of the distributive property of multiplication. They will take a pre-test, define the distributive property, then model and practice using their tiles to solve basic...
Curated OER
Extension: Using Variables and Expressions
Here is a variables and extensions worksheet in which learners create variable tables to solve a set of seven problems, then discuss which businesses described in the problems they would like to start.
EngageNY
Mid-Module Assessment Task - Algebra 1 (module 4)
Performance task questions are the most difficult to write. Use this assessment so you don't have to! These questions assess factoring quadratics, modeling with quadratics, and key features of quadratic graphs. All questions require...
Illustrative Mathematics
An Integer Identity
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
Kent State University
How Does that Work?
Sixth and seventh graders explore algebra word problems. They work with a partner to solve word problems distributed by e-mail. Learners simplify mathematical expressions following a "think aloud" algebra strategy modeled by the teacher....