Lesson Plan
Illustrative Mathematics

Miles to Kilometers

For Teachers 7th - 8th Standards
Can your mathematicians come up with an easy way to convert miles to kilometers? Start by asking learners to write an algebraic expression for each of the descriptions given. Once they determine that they are both the same, ask...
Lesson Plan
Curated OER

Properties of Real Numbers Reference Chart

For Teachers 9th - 12th
In this algebra worksheet, students reference the six properties of real numbers over multiplication and addition in an easy to read format. There are 10 examples.
Lesson Plan
Ahisma Summer Institute

The Power of One - Math in a Different Angle

For Teachers 5th - 7th Standards
In this 2-day lesson focused on exponents, middle schoolers will cross the curriculum by engaging in science, history and language arts activities. Exponential growth will be explored using grains of rice on a chess board. Exponential...
Lesson Plan
EngageNY

Solving Equations

For Students 9th - 10th Standards
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.
Lesson Plan
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EngageNY

Algebraic Expressions—The Distributive Property

For Students 9th - 10th Standards
Do your classes truly understand the distributive property? Use a demonstrative lesson to represent the distributive property in various ways. Learners solidify understanding by creating a geometric pattern for distributive...
Lesson Plan
EngageNY

Review of the Assumptions (part 2)

For Students 9th - 10th Standards
Is the amount of information getting overwhelming for your geometry classes? Use this strategy as a way to organize information. The resource provides a handout of information studied in relation to triangle congruence. It includes a...
Lesson Plan
Curated OER

Properties of Parabolas

For Teachers 9th - 12th Standards
Learn to identify the properties of parabolas. Students define parabola as the locus of all points equidistant from a fixed point and a fixed line. Also, interpret the equation for a parabola in vertex form and gain a visual...
Lesson Plan
Curated OER

Properties of Parallelograms

For Teachers 9th - Higher Ed Standards
Scholars explore parallelograms in this geometry lesson. They investigate the properties of a parallelogram. Assisted by technology, your learners will construct a parallelogram and examine the sides, angles, and diagonals to discover...
Lesson Plan
Alabama Learning Exchange

Exponents and Division

For Teachers 9th - 12th Standards
Create a human fraction to learn about division of exponents. Scholars develop the rule for division of exponents by being part of a human fraction to explore and justify the rule. They also consider zero exponents and negative exponents.
Lesson Plan
Curated OER

Using Algebra Tiles to Explore Distributive Property

For Teachers 7th - 9th
Math is fun with algebra tiles! Young mathematicians explore eight expressions involving the distributive property and use algebra tiles to expand simple expressions. The resource is perfect for both guided and independent practice.
Lesson Plan
EngageNY

The Multiplication of Polynomials

For Students 10th - 12th Standards
If you can multiply multi-digit integers, you can multiply polynomials. Learners use an area model to compare multiplying numbers to multiplying polynomials. They progress to using the distributive property. 
Lesson Plan
Curated OER

Properties of the Centers of a Triangle

For Teachers 9th - 12th Standards
High schoolers investigate properties of the four centers of a triangle and explore a special property of the circumcenter and orthocenter of a triangle. This lesson requires the use of Cabri, Jr.
Lesson Plan
West Contra Costa Unified School District

Simplify Expressions and Solve Equations Using Two-Column Proofs

For Students 8th - 10th Standards
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.
Lesson Plan
Curated OER

Properties of Multiplication

For Teachers 5th
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...
Lesson Plan
EngageNY

Using the Number Line to Model the Addition of Integers

For Teachers 7th Standards
The second instructional activity in a series of 25 shows the class how to use arrows and a number line to add integers. Learners apply their knowledge of the commutative property and absolute value in their explanations. Classmates play...
Lesson Plan
Cornell University

Mechanical Properties of Gummy Worms

For Students 9th - 12th
Learners won't have to squirm when asked the facts after completing an intriguing lab investigation! Hook young scholars on science by challenging them to verify Hooke's Law using a gummy worm. Measuring the length of the worm as they...
Lesson Plan
EngageNY

Unknown Angle Proofs—Proofs of Known Facts

For Teachers 9th - 10th Standards
Lead the class in a Greek history lesson with a geometric twist. Pupils relate a short video about geometric properties to modern-day methods of solving for unknown angles. They discuss parallel line theorems and complete...
Lesson Plan
Consumers Energy

The Cost of Electricity

For Teachers 6th - 12th Standards
How much is your toaster costing you every day? Young environmentalists calculate the monetary costs of household appliances based on their average consumption of wattage.
Lesson Plan
EngageNY

Transforming the Graph of the Sine Function

For Students 10th - 12th Standards
Build a solid understanding of trigonometric transformations through exploration. Learners work in teams to analyze the effects of different algebraic components on the graph of a sine function. 
Lesson Plan
Utah Education Network (UEN)

Pattern Search

For Teachers 3rd Standards
Pupils identify and define various mathematical properties, such as the commutative properties of addition and multiplication, and the associative property of addition. They also reason and communicate mathematically by making...
Lesson Plan
Virginia Department of Education

A Mystery to Solve

For Teachers 8th - 10th Standards
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.
Lesson Plan
Curated OER

Simplifying Square Roots

For Teachers 9th - 12th
Discuss the definition for a simplified form for a square root. Middle schoolers analyze different forms of a square root, the Product Property of Square Roots, and complete a worksheet.
Lesson Plan
EngageNY

Matrix Multiplication Is Not Commutative

For Teachers 11th - 12th Standards
Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...
Lesson Plan
EngageNY

Unknown Angle Proofs—Writing Proofs

For Teachers 9th - 10th Standards
What do Sherlock Holmes and geometry have in common? Why, it is a matter of deductive reasoning as the class learns how to justify each step of a problem. Pupils then present a known fact to ensure that their decision is correct.

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