EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first activity in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
EngageNY
Revisiting the Graphs of the Trigonometric Functions
Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...
EngageNY
Addition and Subtraction Formulas 1
Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance formula...
Curated OER
Sharing Brownies: Fractions That Represent a Fair Share
Elementary graders discover the concept of fractional pieces of a whole. They investigate the meanings of fractions in everyday life and why they are used. Pupils divide brownies amongst each other to demonstrate the use of fractions...
Curated OER
Designing a Playground!
Students design their own playground equipment. In this design lesson, students take pictures of equipment they like and make a class pictograph of their favorite ones. They investigate the design, research equipment around the world,...
Curated OER
Don't Bet The House On It!
Great real-world math application! Have the class compare and contrast their estimated home price and income data with actual data. In groups, they participate in simulations to discover how the housing market and mortgages operate....
Curated OER
Attack of the Raging River
Students explore mass and volume. In this mass and volume lesson, students pretend to be on a hike and have lost their way. Students must cross a river get back on track. Students must use mass, volume, surface area, density, property...
Curated OER
Systems of Equations and Real Life
What a great classroom resource! The intention of this lesson is to show that real-world math can and should be applied to the community in which your students reside. The class relates properties of equations to solving for species...
Curated OER
Feel the Vibrations
How does sound travel in a string walkie-talkie? Third graders read about the way vibrations act between two cups and a string. Next, they put the steps in order, and experiment with their own walkie-talkies.
Bowland
Magic Sum Puzzle
Learners discover the magic in mathematics as they solve numerical puzzles involving magic sums. They then make a conjecture as to why no additional examples are possible based on an analysis of the puzzles.
Virginia Department of Education
How Many Triangles?
Something for young mathematicians to remember: the sum of any two sides must be greater than the third. Class members investigates the Triangle Inequality Theorem to find the relationship between the sides of a triangle. At the same...
Project Maths
Introduction to Angles
Approach the instructional activity from the right angle. A discussion-based instructional activity leads helps learners understand angles in terms of rotation. Individuals use manipulatives to explore the properties of angles and learn...
Pennsylvania Department of Education
Volume and Surface Area
Build boxes using unit cubes to compare surface area and volume. The group performs multiple experiments to determine properties of volume, such as if it makes a difference which order the dimensions are multiplied in. Extensive...
EngageNY
How Do Dilations Map Angles?
The key to understanding is making connections. Scholars explore angle dilations using properties of parallel lines. At completion, pupils prove that angles of a dilation preserve their original measure.
West Contra Costa Unified School District
Solving Equations Using Balance Scale, Decomposition, and Graphing
There's more than one way to solve an equation — three, actually. Scholars learn how to solve simple linear equations in one variable using three different methods, which include using balance scales, using decomposition (e.g., turning...
Mathematics Vision Project
Module 2: Linear and Exponential Functions
Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.
Shodor Education Foundation
From Probability to Combinatorics and Number Theory
What middle schooler does not enjoy an occasional online game? In this instructional activity play, you will find embedded links to an online probability game, and informative pages about how division is used in probability, the concept...
Curated OER
M&M Graphing
Youngsters sort M & M's by color. They graph the M&M's by color on a graph. This classic lesson is a wonderful way to introduce the concept and technique of graphing to young mathematicians. Pairs of kids can make up their own...
Ohio Department of Education
Describing and Creating Plane Figures - Grade One
Young mathematicians draw, create, and describe different shapes using triangles. They discuss attributes of the original and created shapes. Pupils classify the created shapes and draw and write in mathematics journals to communicate...
Curated OER
Substitution And Evaluation
In this substitution and evaluation learning exercise, students solve and complete 22 different problems that include using the substitution method of variables. First, they evaluate each expression for the given variable. Then, students...
Utah Education Network (UEN)
Finding Missing Lengths of Similar Triangles
Middle and high schoolers explore the properties of similar triangles. In this geometry lesson, pupils play a similarity basketball game, sketch similar triangles, and find the missing measures of similar figures. They find the height of...
Curated OER
Displacement and Density
High schoolers explore displacement. For this displacement and density lesson, pupils find the volume of irregular shaped objects. Afterward, they determine the volume of containers. They compute the amount of water displacement.
Curated OER
Matrix Analysis of Networks
Explore the connection between a finite graph, a directed graph, and a matrix. Graph lines and identify the relationship of matrices in real-world scenarios. Then use this information to work with a partner to plan and design a town...
Illustrative Mathematics
Dilating a Line
High School geometers verify through experimentation certain properties about dilations. This multi-step problem challenges them to construct examples of dilations to verify specific facts, the final step provides an opportunity to more...