Curated OER
Properties of Equality
What assumptions are made in order to solve equations? An instructional slideshow provides an overview and guided examples of how properties of equality can be used to justify each step in solving equations.
EngageNY
Solving Equations Using Algebra
Use a tape diagram to emulate the steps of solving equations. The 23rd installment in a 25-part unit presents two-step linear equation problems to solve. Pupils use tape diagrams to solve the problems along with linear equations. To...
Virginia Department of Education
Properties of Real Numbers
Students use paper cups and colored chips to observe properties of operations with real numbers. As a class, students brainstorm and use manipulatives to demonstrate associative, commutative, distributive identity and inverse properties....
EngageNY
Two-Step Problems—All Operations
Step 1: Use the resource. Step 2: Watch your class become experts in solving two-step problems. Scholars learn to solve two-step word problems in context. They use tape diagrams and algebraic techniques to break the problem into two,...
Charleston School District
Operations with Exponents
It just multiplies out. The lesson provides the rules for operations with exponents and keeps them as positive integers in the lesson. Videos explain the rules for the operations with exponents while working out examples.
Curated OER
Properties of operations as Strategies
Explore math properties by incorporating multiplication and division skills. Learners examine six equations and match each to its equivalent in another set. They incorporate knowledge of math properties including the associative and...
EngageNY
End-of-Module Assessment Task: Grade 7 Module 2
Learners demonstrate their ability to operate with rational numbers through a five-question assessment that includes questions ranging from simple operations with integers to solving two-step equations with rational coefficients.
Curated OER
Properties of Real Numbers
In this algebra instructional activity, students identify and use the properties of real numbers to solve problems. They identify and differentiate between rational and irrational functions. There are 13 problems.
Concord Consortium
Energy of a Spring
Spring has sprung! Young physicists explore the properties of springs with a simple simulator. Users control the initial position of the spring, then observe the potential, kinetic, and thermal energies in the system.
Noyce Foundation
Perfect Pair
What makes number pairs perfect? The resource provides five problems regarding perfect pairs of numbers, the definition of which changes in complexity with each task. Solutions require pupils to apply number sense and operations, as well...
Math Worksheets Land
Properties of Operations as Strategies - Guided Lesson
Math properties can be tricky, but this worksheet's visual approach makes them accessible to young learners. First, they apply the associative property by filling in the blanks of an equivalent equation, concluding that the values are...
Curated OER
Properties of Multiplication
Fifth graders examine the process of multiplication and the relationship between addition and multiplication. They observe the teacher model a variety of problems on the board, and identify properties of multiplication. Students...
Pennsylvania Department of Education
Associative Properties
Students investigate the associative property of addition. In this associative property of addition lesson, students work in pairs and build addition problems with six blocks. They sit on either side of a desk so that they can "read" the...
Curated OER
Solving Equations
For this solving equations worksheet, students solve and complete 12 different problems that include solving various equations by addition or subtraction. First, they identify and define the difference between using the addition property...
Del Mar College
The Laws of Logs
Two students were sitting on a log and decided they wanted to be awesome at math. Bring in the logarithm handout! The first page introduces the idea of a logarithm and the different operations and rules it entails. The second page...
EngageNY
Matrix Addition Is Commutative
Explore properties of addition as they relate to matrices. Using graphical representations of vector matrices, scholars test the commutative and associative properties of addition. They determine if the properties are consistent for...
Virginia Department of Education
A Mystery to Solve
Investigate field properties of real numbers. Scholars use a table for a given operation to determine the identity element. They use the same table to find a missing value in an equation.
Curated OER
Domain: Operations and Algebraic Thinking
Practice basic operations for young mathematicians in fun ways! Using two decks of cards (Ace through 10 plus the joker), learners play "memory" by matching numbers that can be added to make 10 and writing number sentences. In another...
Shodor Education Foundation
Equation Solver
Solve your equation and prove it, too. Young mathematicians solve linear equations using an interactive. They must input a property to justify each step of their solutions.
EngageNY
Some Potential Dangers When Solving Equations
Need a less abstract approach to introducing extraneous solutions? This is it! Young mathematicians explore properties used to solve equations and determine which operations maintain the same solutions. They...
Alabama Learning Exchange
Fortune Properties
Complete identity and equality property problems in hands-on activities. Smart cookies identify the identity and equality properties. They complete a review of order of operations, watch an online video, and make a foldable with the...
EngageNY
Multi-Step Problems—All Operations
Harness the power of algebra to solve problems. Young mathematicians learn to work out multi-step problems by applying algebraic techniques, such as solving equations and proportions. They use tape diagrams to model the problem to finish...
EngageNY
One-Step Equations—Multiplication and Division
Discover one more step to being able to solve any one-step equation. Scholars continue their work with one-step equations in the 28th installment of a 36-part module. Tape diagrams and algebraic processes introduce how to solve one-step...
Curated OER
Multiplication & Division
Helpful for building a multiplication unit that focuses on different strategies. With explanations about repeated addition and subtraction as foundations for multiplication, scaling, summaries of progression, and basic multiplication and...