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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.
EngageNY
Writing Addition and Subtraction Expressions
Symbols make everything so much more concise. Young mathematicians learn to write addition and subtraction expressions — including those involving variables — from verbal phrases. Bar models help them understand the concept.
EngageNY
Writing and Expanding Multiplication Expressions
Find out what's so standard about standard form. Scholars learn to write multiplication expressions with variables in the 10th lesson in a series of 36. They use different symbols for multiplication and translate between standard and...
EngageNY
Writing Division Expressions II
Division is division is division is division ... four different ways to write division. Scholars continue to learn about division expressions. They translate between several forms, including verbal phrases, expressions using the division...
EngageNY
Distributing Expressions
You know how to factor expressions; now it's time to go the opposite way. Scholars learn to write algebraic expressions in expanded form using the distributive property. A problem set helps them practice the skill.
Mathematics Assessment Project
Expressions and Equations
Express your wonder at this resource. Middle schoolers solve 10 short problems in the expressions and equations domain. They apply operations with scientific notation, set up and solve equations, and analyze linear equations.
Curated OER
Variables and Expressions
In this variables and expressions worksheet, 9th graders solve and complete 26 different problems that include various expressions. First, they write a verbal expression for each given algebraic expression. Then, students write an...
Balanced Assessment
Number Trick
Show your classes the magic of numbers. Using a number trick, learners practice writing algebraic expressions. They then use their expression to perform the trick. Their exploration should help them understand the magic behind the trick.
Noyce Foundation
Toy Trains
Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish...
Math Guy
Algebra 1 Practice Test
The worksheet is great but the answer key is fantastic! This practice test focuses on quadratics and polynomials. Learners are expected to be able to simplify and factor expressions and solve equations. The best part is the answer key...
Virginia Department of Education
Arithmetic and Geometric Sequences
Future mathematicians learn about arithmetic and geometric sequences, as well as common ratios and differences as they complete a worksheet matching sequences with the algebraic expressions that represent them.
Curated OER
Algebraic Expressions
This all-encompassing lesson plan immerses your math class in the world of algebraic expressions. Written details are provided to guide you in guiding them to identify the parts of an expression and simplify them. Sample problems are...
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...
Education Development Center
Logic of Algebra
Don't just go through the steps to solve an algebraic equation, show learners how to balance an equation with visual models. The packet introduces the idea of mobile balances to reinforce the idea that both sides must match to make the...
Courseware Solutions
Understanding Algebraic Expressions
Prealgebra apprentices read seven phrases and write an expression for each. The printable version of the worksheet is not very attractive; it has the standards information printed at the top. The problems are arranged in a table and are...
Curated OER
Elementary Algebra Study Guide
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
Curated OER
Dividing Rational Expressions
In this worksheet, learners divide rational expressions and write the answer in simplest form. The problems start out as fractions with monomials and gradually become more complex with factoring required. This one-page worksheet...
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.
Virginia Department of Education
Adding and Subtracting Polynomials Using Algebra Tiles
Scholars learn how using algebra tiles to add and subtract polynomials can model how to combine polynomials. They use their newfound knowledge to complete a worksheet of problems.
Curated OER
Homework: Writing Two-Step Equations
In this writing two-step equations learning exercise, students translate word sentences into algebraic problems. Afterward, they use algebra to solve two-step equations containing one variable. This one-page learning exercise contains...
Curated OER
Simplification
In this simplification activity, students solve and complete 20 different algebraic expressions. They simplify each expression given in all three parts of the sheet by combining like terms. Then, students write each answer in the lowest...
Curated OER
Variable Expressions
For this variable expressions worksheet, students solve variable expressions. They write algebraic expressions. This one-page worksheet contains 10 multiple-choice problems. Answers are provided.
Mathed Up!
Algebraic Fractions
Learn ways to simplify algebraic fractions with a video that reviews how to simplify rational expressions by canceling common factors and how to add and subtract simple rational expressions. A worksheet tests pupils' understanding...
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...