Illustrative Mathematics
6.EE.4 Equivalent Expressions
Straight to the point, learners are asked to compare a set of five expressions, determine which are equivalent, and then write equivalent equations for those that do not have any. A benefit is that they will review using properties of...
EngageNY
Solving a Linear Equation
Solving an equation is the art of creating simpler equivalent equations using properties of equality. Here, classes see that solving an equation is not always as easy as guessing. The lesson presents linear equations that scholars must...
Curated OER
Writing Linear Equations
In this Algebra I/Algebra II instructional activity, students examine linear equations to determine the slope and y-intercept and write the equation of the line given the pertinent information. The one page instructional activity...
Curated OER
Equivalent Algebraic Expressions
This online worksheet can be printed, projected on the board, or used as example problems for the class to solve. They write equivalent expressions for a set of given equations, 14 total. This page contains an answer link and links to...
Illustrative Mathematics
Proportional Relationships, Lines, and Linear Equations
The resource is a good introduction to what makes a proportional relationship between two lines. Discuss the similarities of both lines and the possibility of intersection. Use this opportunity to list other acceptable forms of each...
Curated OER
Writing Equations of Lines Using The Point-Slope Form
In this writing equations worksheet, young scholars find the equation of a line containing specified points. They determine the slope of a line from given points. This two-page worksheet contains 20 problems. Examples and explanations...
Ohio Department of Education
I Can Do This! Systems of Equations
Use tables, graphs, and substitution to solve systems of linear equations. An envelope of sample problems is passed around the classroom, and each learner has the opportunity to solve the system in the envelope. This is a great way to...
Teach Engineering
Forms of Linear Equations
Linear equations are all about form. The fifth part in a unit of nine works with the different equivalent forms of linear equations. Class members become familiar with each form by identifying key aspects, graphing, and converting from...
Curated OER
Equivalent Expressions A.10
In this equivalent expressions activity, 9th graders solve and complete 9 different multiple choice problems. First, they determine the expression that is equivalent to the given equation. Then, students write the diameter of a number in...
Curated OER
Word Problems of Equal Share and Equal Groups
Explore this engaging approach to division problem solving with young scholars. They construct story problems after drawing 3 cards that give them a type of object, how many they have of that object, and the number of groups the object...
West Contra Costa Unified School District
Solving Exponential Equations
The power to solve exponential equations lies in the resource. Scholars first learn how to solve exponential equations. An activity matching cards with equations, intermediate steps, and solutions strengthens this skill.
EngageNY
From Ratio Tables to Equations Using the Value of a Ratio
Use the value of a ratio to set up equations. The teacher leads a discussion on determining equations from ratio tables in the 13th portion of a 29-part series. Pupils determine which of two equations to use to find the solution. They...
EngageNY
Solving Logarithmic Equations
Of course you're going to be solving an equation—it's algebra class after all. The 14th installment of a 35-part module first has pupils converting logarithmic equations into equivalent exponential equations. The conversion allows for...
Curated OER
Ratios and Equivalent Ratios
For this equivalent ratios worksheet, students simplify 6 ratios and write each in 2 different ways. Students solve 8 proportional equations using equivalent ratios to find a missing term. Students solve 2 test prep questions regarding...
EngageNY
An Appearance of Complex Numbers 1
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
EngageNY
Equivalent Rational Expressions
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
Curated OER
Problem Solving: Division
A cute zoo theme sets the tone for a problem-solving activity which primes early learners for division. They separate zoo animals into equal groups and then write an equation that expresses the action.
Utah Education Network (UEN)
Expressions and Equations
Variables may be unknown, but expressions and equations are easy to understand. Pupils learn to write, evaluate, and simplify numeric and algebraic expressions. They also investigate how to write and solve simple equations and...
Illustrative Mathematics
Valid Equalities?
True or false: 20 = 10 + 10. The statement is true because two 10s make a 20. These are the types of equations learners must label or false. They must also explain in mathematical terms how they know.
Waterloo Mathematics
Grade 7 Patterning and Algebra: Algebraic Expressions
Classmates solve 18 different problems that are mostly word problems that apply algebraic expressions. They draw different combinations of masses on a scale that would balance. They also simplify expressions and solve for x in a number...
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...
CK-12 Foundation
Values Written as Powers: Binary Numbers 9 to 16
Challenge mathematicians to crack the binary code with an interactive that focuses on numbers nine to 16. A table reveals exponential equations to aid in answering multiple-choice questions. A discussion question gauges comprehension.
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.
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.