Concord Consortium
Petit Fours
Four 4s represent the counting numbers. Pupils attempt to write equivalent expressions to as many counting numbers as possible using only four 4s. Scholars then determine whether the same feat is possible using only three 3s.
Utah Education Network (UEN)
Fluency
Become fluent in the language of mathematics. Scholars learn to divide multi-digit whole numbers as well as see how to determine the greatest common factor and least common multiple. They also investigate how to apply the distributive...
Key Curriculum Press
Applications of Exponential Functions
Exponential functions are the name of the game. Young mathematicians can work through each of the eight worksheets by evaluating functions, applying logarithms, completing logarithmic functions, and building inverse functions. This...
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
Read Expressions in Which Letters Stand for Numbers II
Reading and writing take on a whole different meaning in math class. Young mathematicians learn to read verbal phrases by focusing on operation words. They write equivalent algebraic expressions for both mathematical and contextual...
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...
Del Mar College
Translating Verbal Expressions
Help scholars translate verbal expressions into numerical expressions. The two-page document is comprised of descriptions and examples that showcase terms and phrases related to addition, subtraction, multiplication, division,...
CK-12 Foundation
Change of Base: River Logs
Using the answers to the challenge questions, class members work through simplifying a complex logarithmic expression that requires changing bases. Pupils drag values to fill in the steps to arrive at a numerical equivalent expression.
Curated OER
Expressions and Operations
In this expressions and operations worksheet, 9th graders solve and complete 13 different multiple choice problems. First, they determine the length of a rectangle given the width and area. Then, students determine which of the listed...
West Contra Costa Unified School District
Simplify Expressions and Solve Equations Using Two-Column Proofs
Increase understanding of the algebraic properties and their importance. Scholars justify their steps as they simplify expressions and solve equations. They formalize their work as two-column proof.
Illustrative Mathematics
Equivalent Expressions
Here is a straight-forward problem of multiplying two binomials with a twist. It is up to algebra learners to decide how to turn this product of sums into a sum of products. However, it is not the quadratic that is the answer; it is the...
Concord Consortium
Sloppy Student II
Doesn't trying two substitutions prove it is equal? Individuals analyze a given polynomial division problem to determine whether the answer is correct. Classmates continue to determine what values to use that show the...
Balanced Assessment
Transformation I
Rewriting expressions in different forms is an essential algebra skill. Support the development of this skill by using a task that asks scholars to begin with a linear, quadratic, and rational expression and then manipulate...
CK-12 Foundation
Simplify Products or Quotients of Single Variable Expressions: Circling C's
Model expression division using online manipulatives. Learners drag C's representing a term into equal groups. Guiding questions help them see their groups as the division of the term.
Curated OER
Half Math Quilt
Help your third graders become familiar with equivalent fractions for one-half by having them create a quilt. They will use triangles to create a quilt of equivalent fractions over a period of 6 days. As they create the quilt pieces they...
Curated OER
Graphing Linear Functions
In this linear functions worksheet, 9th graders solve and complete 30 different multiple choice problems that include graphing. First, they determine the expression that is equivalent to the given expression. Then, students determine the...
Curated OER
Equivalent Equations
Answer the age-old question every middle schooler has, what are equivalent equations? Here, they will explore the concept, discuss what equivalent equations are, and how to solve them. They also discuss performing an operation on both...
Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the...
Henrico County Public Schools
Factoring Puzzle
Factoring polynomials is an essential part of writing equivalent expressions and algebraic problem solving. Here is a card game that serves an engaging activity for reviewing factoring of polynomials.
EngageNY
Writing Products as Sums and Sums as Products II
Explain algebraic relationships through an understanding of area and perimeter. Continuing concepts built in the third instructional activity of the series, the fourth installment of 28 asks learners to identify common expressions...
Curated OER
Radical Expressions: Add and Subtract
In this radicals worksheet, students simplify the sum or difference of radical expressions. There are 11 multiple choice questions.
Curated OER
Equivalent Fractions
Students complete a worksheet. In this fractions lesson, students review their knowledge of fractions, define equivalent fractions, see examples of equivalent fractions and practice making equivalent fractions.
Curated OER
Unequal Groups vs. Equal Groups
Third graders read and discuss math story problems and analyze if the story is using equal groups or unequal groups. They listen to the book "12 Ways To Get to 11," and simulate the story using beads on a pipe cleaner. Students then...
Curated OER
Equivalent Ratios (Practice 18.2)
In this ratios worksheet, students solve 22 problems in which equivalent ratios are found or ratios are expressed in simplest form.