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Illustrative Mathematics
Miles to Kilometers
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...
Curated OER
Properties of Real Numbers Reference Chart
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.
Ahisma Summer Institute
The Power of One - Math in a Different Angle
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...
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
Algebraic Expressions—The Distributive Property
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...
EngageNY
Review of the Assumptions (part 2)
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...
Curated OER
Properties of Parabolas
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...
Curated OER
Properties of Parallelograms
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...
Alabama Learning Exchange
Exponents and Division
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.
Curated OER
Using Algebra Tiles to Explore Distributive Property
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.
EngageNY
The Multiplication of Polynomials
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.
Curated OER
Properties of the Centers of a Triangle
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.
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.
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...
EngageNY
Using the Number Line to Model the Addition of Integers
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...
Cornell University
Mechanical Properties of Gummy Worms
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...
EngageNY
Unknown Angle Proofs—Proofs of Known Facts
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...
Consumers Energy
The Cost of Electricity
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.
EngageNY
Transforming the Graph of the Sine Function
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.
Utah Education Network (UEN)
Pattern Search
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...
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
Simplifying Square Roots
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.
EngageNY
Matrix Multiplication Is Not Commutative
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...
EngageNY
Unknown Angle Proofs—Writing Proofs
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.