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 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.
Lorain County Community College
Solving Equations Using the Division Property
Go from easy to challenging with a worksheet full of different problems designed for solving equations. Your mathematicians will be able to start small with one- and two-step equations and work their way up to multi-step equations. The...
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.
EngageNY
Properties of Tangents
You know about the tangent function, but what are tangent lines to a circle? Learners investigate properties of tangents through constructions. They determine that tangents are perpendicular to the radius at the point of tangency,...
Curated OER
Symmetry of the Addition Table
Help your class discover the commutative property of addition with this exploration of the addition table. By folding and coloring the table, a symmetry is found that directs students to an understanding of this crucial mathematical...
EngageNY
Numbers Raised to the Zeroth Power
What in the world is the zeroth power? Examine the patterns of exponents as they apply to the zeroth power. Scholars apply the zero property to simple exponential expressions in this fourth lesson in a series of 15. The examples include...
Lorain County Community College
Solving Linear Equations in One Variable
Multiple-step problems don't have to equal tough problems. This worksheet provides a list of steps needed to go through multi-step equations that include combining like terms and distributing. With ten problems total, your learners will...
Macquarie University
Logarithms and Exponentials
Introduce logarithmic functions and their properties with a straightforward lesson plan. It provides an introduction to new material, examples, and practice problems. The variety of problem types keeps learners engaged while...
Illustrative Mathematics
Hexagonal Pattern of Beehives
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
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.
EngageNY
Solving Inequalities
Do properties of equations hold true for inequalities? Teach solving inequalities through the theme of properties. Your class discovers that the multiplication property of equality doesn't hold true for inequalities when multiplying by a...
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,...
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...
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...
Curated OER
Solving Linear Equations
How do you solve linear equations? Learn how to solve simple linear equations by applying properties of equality in this instructional slideshow. The materials include step-by-step instructions and key concepts to support understanding.
Mt. San Antonio Collage
Postulates, Angles, and Their Relationships
More than a worksheet, learners go through geometry topics example by example on the nicely organized handout. From postulates to classifying angles, there are rules and examples provided for each topic. The ten pages of problems...
EngageNY
The Zero Product Property
Zero in on your pupils' understanding of solving quadratic equations. Spend time developing the purpose of the zero product property so that young mathematicians understand why the equations should be set equal to zero and how that...
Illustrative Mathematics
Joining Two Midpoints of Sides of a Triangle
Without ever using the actual term, this exercise has the learner develop the key properties of the midsegment of a triangle. This task leads the class to discover a proof of similar triangles using the properties of parallel...
Noyce Foundation
Granny’s Balloon Trip
Take flight with a fun activity focused on graphing data on a coordinate plane. As learners study the data for Granny's hot-air balloon trip, including the time of day and the distance of the balloon from the ground, they practice...
EngageNY
Solving Equations with Radicals
Show learners how to develop a procedure for solving equations using radicals with the fifth activity of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations. Individuals round...
Virginia Department of Education
Greetings
Welcome learners to the world of algebra. Use a lesson plan that poses a situation involving the profit from creating greeting cards to teach about algebra. It requires scholars to use linear functions and inequalities to solve...
Mt. San Antonio Collage
The Trapezoid
Enjoy this nicely organized worksheet that puts together multiple problems regarding trapezoid proofs. The resource can be used as a guide that begins with proving properties and ends with solving for measures of line segments.