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EngageNY
Euler’s Number, e
Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the lesson is the discovery of Euler's number.
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first lesson 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...
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!
Learners 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,...
Odell Education
Arc Length and Area of a Sector
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
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. For 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 instructional activity is to show that real-world math can and should be applied to the community in which your high schoolers reside. The class relates properties of equations to...
Project Maths
Introduction to Angles
Approach the lesson from the right angle. A discussion-based lesson leads helps learners understand angles in terms of rotation. Individuals use manipulatives to explore the properties of angles and learn how to name them. The lesson is...
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...
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...
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.
Shodor Education Foundation
From Probability to Combinatorics and Number Theory
What middle schooler does not enjoy an occasional online game? In this lesson plan play, you will find embedded links to an online probability game, and informative pages about how division is used in probability, the concept of tree...
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...
Alabama Learning Exchange
The World of Integers
Review operations related to rational numbers and integers using the include PowerPoint presentation, "Interesting Integers." Young mathematicians classify rational numbers as being natural, whole, or integers and read an article about...
Curated OER
Finding the Area of Shapes
In this area of shapes unit, upper graders participate in hands-on problem solving activities to find the formulas for the area of a parallelogram, a triangle, and a trapezoid. They manipulate the geoboard to explore relationships among...
Curated OER
Displacement and Density
High schoolers explore displacement. In this displacement and density instructional activity, pupils find the volume of irregular shaped objects. Afterward, they determine the volume of containers. They compute the amount of water...
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...
Shodor Education Foundation
Sets and the Venn Diagram (Beginner)
Venn diagrams are helpful in understanding the idea of a set and using attributes to sort items. This basic plan is an introduction with an added bonus of an applet that can be used to demonstrate the activity. If a classroom of...
Illustrative Mathematics
The Djinni’s Offer
The djinni in this resource offers gold coins. Learners use the properties of exponents to make their decision as one offer increases exponentially. This makes a great group project. As the commentary suggests, start by having groups...
Illustrative Mathematics
All vs. Only Some
All shapes have certain defining attributes that set them apart from others. In order to understand this, young mathematicians look at examples and non-examples of triangles, rectangles, and squares, working as a whole class to create...
Curated OER
Forms of Exponential Expressions
Your young physicists analyze the forms of four equivalent exponential expressions representing an amount of a radioactive material in a substance. They show how each expression is equivalent to the others and what aspects of the decay...