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
Solutions of a Linear Equation
Use the distributive property to solve equations. The sixth lesson in a 33-part series has scholars solve equations that need to be transformed into simpler equations first. Class members apply the distributive property to the equations...
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...
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...
EngageNY
Solving Equations
Teach solving equations through an exploration of properties. Before pupils solve equations they manipulate them to produce equivalent equations. The activity switches the focus from finding a solution to applying properties correctly.
EngageNY
The Defining Equation of a Line
They appear to be different, yet they are the same line. Part 24 out of 33 lessons provides a theorem about the relationships of coefficients of equivalent linear equations. Pupils use the theorem to determine whether two equations are...
Illustrative Mathematics
Sammy's Chipmunk and Squirrel Observations
Here is a fun project. Sammy observes a chipmunk and a squirrel to see how many holes each needs in order to stash the same number of acorns. Scholars could find the answer algebraically or create a table to analyze the problem in...
Curated OER
Logarithmic Equations
In this logarithmic equations learning exercise, students cut apart 16 squares. Each square has four equations, one per side. They match equivalent equations, creating a new square when successful.
Curated OER
Introduction To Solving Equations
Use manipulatives (film cans and balance scales) to visualize and solve equivalent equations with your math class. After a lecture/demo, they utilize handouts and solve various equations using the methods learned.
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...
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...
Illustrative Mathematics
Solving Equations
If you have two bags with an unknown number of tiles, represented by x, and you add three tiles to get seven total, you can set up a linear equation to represent the problem. Use this example and a few others to demonstrate how to solve...
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...
Mathematics Assessment Project
Sorting Equations and Identities
Identify the identity. Learners first solve equations to find the number of solutions. Scholars then determine if given equations are always, sometimes, or never true, leading to the concept of identities.
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 Rational Equations
Scholars first learn to solve two-step equations with fractional coefficients and constants by traditional methods and by clearing the denominator. They continue by learning another approach to solve two-step equations that have decimal...
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
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...
EngageNY
Solving Equations with Radicals
Show learners how to develop a procedure for solving equations using radicals with the fifth lesson of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations. Individuals round out...
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...
Curated OER
Number Lines, Variables, Solving for One Variable
Review basic algebraic rules of addition of integers. Then have the class define a variable and explore methods of solving equations with one variable. They observe solving expressions using inverse operations and simplifying solutions....
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...