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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
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
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,...
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....
PBS
History of Juneteenth and Why It’s Now a National Holiday
June 19 is now a United States federal holiday. Young historians examine the background of the first Juneteenth celebrations and why on June 15, 2021, Congress finally approved "Juneteenth National Independence Day" as a federal holiday.
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...
EngageNY
If–Then Moves with Integer Number Cards
Pairs with the same sum of integer cards verify the addition and subtraction properties of equality by adding and subtracting like cards to each hand. They also justify the multiplication and division properties of equality using...
EngageNY
Properties of Area
What properties does area possess? Solidify the area properties that pupils learned in previous years. Groups investigate the five properties using four problems, which then provide the basis for a class discussion.
American Chemical Society
Comparing the Density of an Object to the Density of Water
Investigators construct a makeshift balance and compare equal volumes of wax and water. They do the same for clay and water. Then they discover whether the wax and clay will float or sink in water. Ultimately this is a comparison of...
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.
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
Solving Equations Using Algebra 2
If you use a fabulous lesson plan, then your pupils can become fabulous at solving equations. The 24th installment of 25 incorporates the use of if-then statements to illustrate the properties of equality used in solving two-step linear...
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...
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.
Curated OER
Distribution Property Of Multiplication Over Addition
Fourth graders complete problems where they demonstrate their knowledge of the distributive property of multiplication. In this distributive property lesson plan, 4th graders are provided with worksheets.
Curated OER
Properties of Arcs, Lengths and Chords
Students differentiate between the different properties of arcs, arc lengths, chords, and chord lengths. In this circles lesson plan, students calculate the arc length of a given circle, and find the measure of the inscribed angles of a...
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...
Curated OER
Regents Exam Questions: Properties of Logarithms 4
In this logarithm worksheet, students determine equivalent logarithms. They rewrite given logarithmic expressions. This three-page worksheet contains thirteen problems. Answers are provided on the last page.
American Institute of Physics
The Black Scientific Renaissance of the 1970s-90s: African American Scientists at Bell Laboratories
A two-part lesson asks young scientists to research the contributions of African American scientists at Bell Laboratories. After presenting their findings, class members watch two demonstrations that introduce them to total internal...
Cornell University
Buoyancy
Swimmers know to float by turning their bodies horizontally rather than vertically, but why does that make a difference? In an interesting lesson, scholars explore buoyancy and the properties of air and water. They test cups to see which...
Pennsylvania Department of Education
Associative Properties
Students investigate the associative property of addition. For 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"...
Curated OER
Equal Differences Over Equal Intervals 2
Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and...
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...
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.