101 Questions
How Many Hot Dogs?
Top off your hot dogs with a little math. Learners view a video on a hot dog eating contest, and then answer questions using estimation. Using a table of hypothetical data, they create algebraic expressions to represent the situation.
EngageNY
Roots of Unity
Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....
Flipped Math
True False Equations
Determine what makes the equation true. Learners view an instruction video on determining what values make an algebraic equation true. The pupils describe the solution set using three different methods: verbally, set notation, and...
EngageNY
Writing Products as Sums and Sums as Products II
Explain algebraic relationships through an understanding of area and perimeter. Continuing concepts built in the third instructional activity of the series, the fourth installment of 28 asks learners to identify common expressions...
EngageNY
End-of-Module Assessment Task: Grade 7 Module 2
Learners demonstrate their ability to operate with rational numbers through a five-question assessment that includes questions ranging from simple operations with integers to solving two-step equations with rational coefficients.
Illustrative Mathematics
Writing Constraints
Use this resource to present your number crunchers with how to write a constraint equation and to determine viable solutions. The price of an object limits the amount that can be purchased. The speed at which you walk limits the number...
Curated OER
Math Games for Skills and Concepts
A 27-page packet full of math games and activities builds on algebra, measurement, geometry, fractional, and graphing skills. Young mathematicians participate in math games collaboratively, promoting teamwork and skills practice.
Chicago Teachers Union Quest Center
Factored Form of a Quadratic Function
Build upon linear functions to learn about quadratics. The lesson introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both graphical and...
Education Development Center
Integer Combinations—Postage Stamps Problem (HS Version)
It seems the post office has run out of stamps! Learners build all the values of postage available if the post office only sells five- and seven-cent stamps. The task provides an opportunity to create an expression in two variables and...
5280 Math
Polygon Polynomials
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
Flipped Math
Unit 2 Review: Create and Solve Equations and Inequalities
Start with the basics. Pupils work through a review of the unit on equations and inequalities. Learners begin with solving equations and inequalities with no context, move on to problems that involve a context, and finish with a...
Virginia Department of Education
Growing Patterns and Sequences
Learners explore, discover, compare, and contrast arithmetic and geometric sequences in this collaborative, hands-on activity. They build and analyze growing patterns to distinguish which kind of sequence is represented by a set of data...
Calloway County Schools
Dialogue Rules, Worksheet, and Writing Assignment
Punctuating dialogue properly can be tricky, but your pupils can become punctuation masters with practice. This resource includes an explanatory page that describes the rules of writing dialogue and provides examples. On the second page,...
National Security Agency
What’s Your Coordinate?
Your middle schoolers will show what they know with their bodies when they become the coordinate plane in this conceptual development unit. Starting with the characteristics of the coordinate plane, learners develop their skills by...
Curated OER
The Intermediate Value Theorem
You and your calculus learners will appreciate this description, discussion, and examples of the Intermediate Value Theorem. Applications of the theorem are also discussed.
Schoolcraft College
Trigonometry
This trigonometry textbook takes the learner from a basic understanding of angles and triangles through the use of polar coordinates on the complex plane. Written by a mathematician-engineer, examples and problems here are used to...
EngageNY
Unknown Angles
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include...
Charleston School District
Pythagorean Theorem and Converse
You've heard that it is true, but can you prove it? Scholars learn the Pythagorean Theorem through proof. After an overview of proofs of the theorem, learners apply it to prove triangles are right and to problem solve. This is the second...
Willow Tree
Weighted Averages
Mixtures, weighted percentages, and varying speeds make problem solving difficult. The resource give learners a strategy for tackling these types of problems effectively.
Balanced Assessment
Sharp-Ness
Transform pupils into mathematicians as they create their own definitions and formulas. Scholars examine an assortment of triangles and create a definition and formula for determining the sharpness of the vertex angle. The groups of...
Noyce Foundation
Digging Dinosaurs
Build a function to solve problems rooted in archeology. A comprehensive set of five lessons presents problems requiring individuals to use functions. The initial lesson asks learners to find the possible number of dinosaurs from a...
Shodor Education Foundation
Function Machine
Machines can be so helpful sometimes. A simple interactive has learners enter input values for a function machine and observe output values. These values help determine a function that represents the input-output relationship in the...
California Education Partners
Cady's Cats
How much can a cat eat? The five-question fraction assessment asks pupils to determine the fractional portion of a food box eaten by cats. Learners show their proficiency in adding and subtracting fractions using several scenarios...
University of Colorado
Patterns and Fingerprints
Human fingerprint patterns are the result of layers of skin growing at different paces, thus causing the layers to pull on each other forming ridges. Here, groups of learners see how patterns and fingerprints assist scientists in a...