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
Simple Inequalities
Learners solve inequalities. In this inequalities instructional activity, students evaluate simple inequalities. They examine vocabulary words. Learners participate in breath holding activities and write inequalities to represent the...
Wisconsin Online Resource Center
Oversized Inch
Each member of the class creates their own paper ruler. Using their ruler, kids walk around the room measuring the objects you've specified. Discuss how items should be measured to the 16th of an inch, the smallest unit on their ruler....
Curated OER
Exponential Growth versus Linear Growth II
Your algebra learners discover that exponential functions, with a base larger than one, outgrow linear functions when the inputs increase sufficiently. Their analysis includes using a graphing calculator to produce tables.
Illustrative Mathematics
Fishing Adventures 2
This resource is part of a series which expects participants to be familiar with graphing inequalities on a number line. It is a word problem that asks your class to graph a discrete solution set and interpret it in the context of an...
Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the...
Illustrative Mathematics
Equal Area Triangles on the Same Base II
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
Curated OER
Expressing Geometric Properties with Equations
Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria.
West Contra Costa Unified School District
Congruence Through Transformations
Transform your lesson on transformations. Learners use given congruent triangles and tracing paper to determine the single transformation that carries one to the other. The concept is extended to combinations of transformations to...
Concord Consortium
Swimming Pool II
Combine geometry and algebra concepts to solve a modeling problem. Young scholars consider the effect surface area has on volume. They write a cubic function to model the possible volume given a specific surface area and then...
Curated OER
Polynomials Functions
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
Curated OER
Representation of Quadratic Functions
Students use a table, graph or equation to represent a quadratic function. In this algebra instructional activity, students model and graph with quadratic function. They become comfortable representing quadratics using...
Curated OER
The Tortoise And The Hare
Students use the children's story of The Tortoise And The Hare in order to investigate the graphing of equations. The story is converted to an algebraic word problem for them to solve. Students investigate the relationships of data and...
Curated OER
Doctor, Doctor, Give Me the News, I've Got a Bad Case of Loving Math
Solve a real-world problem of discovering how many doctors and nurses can be hired within budget and building constraints. Using different colored pencils to shade each graph, they then find the intersection points and use these to solve...
Curated OER
Interactivate - Lines, Rays, Line Segments, and Planes
Students explore lines, rays, line segments, and planes. For this math lesson, students discuss the math concepts and direct their instructor in graphing functions. Students collaborate in graphing additional functions.
Curated OER
Linear Piecewise Functions
Students explore the concept of piecewise functions. In this piecewise functions lesson, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students write...
Curated OER
Introduction to Limits
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...
Curated OER
Cube Coloring Problem
Upper elementary and middle schoolers describe the various features of unit cubes, such as edges, corners, and faces. They also discuss how to represent measurements of a cube using exponents before engaging in various thinking and...
Curated OER
Inequalities in Two Variables
For this algebra worksheet, students solve and graph 3 linear inequalities on coordinate systems. They solve and graph 3 systems of linear inequalities on a coordinate grid.
Curated OER
Scatter Plot Basketball
Learners take turns shooting baskets and creating scatterplots based on the data. They create two graphs and look for possible correlation in the data for each graph.
Curated OER
Math Mediator Lesson 10: Slope
Pupils explore the concept of slope. In this Algebra I lesson, students investigate the definition of slope as rise over run or change in y compared to change in x. The lesson includes a real-world problem in which the height...
Curated OER
Types of Functions and Composition of Functions
Algebra II classes solve problems relating to piecewise functions, step functions, and decomposition/composition of functions. They utilize links to work with real world examples. Mr. Pleacher has added humor to the activity by including...
Curated OER
Addition of Ordinates
In this college algebra worksheet, students view graphs of two functions. They are given a values chart. Students graph the result of adding the two functions.
Curated OER
Unit 9 Review
Middle and high schoolers solve and complete 15 various types of problems that include evaluating expressions and graphing. First, they use the substitution method to solve pairs of equations for a variable. Then, students write out a...