Mathematics Vision Project
Module 1: Functions and Their Inverses
Nothing better than the original! Help your class understand the relationship of an inverse function to its original function. Learners study the connection between the original function and its inverse through algebraic properties,...
Howard County Schools
Exponential Decay Exploration
How can you model exponential decay? Explore different situations involving exponential decay functions and decreasing linear functions by performing activities with MandM candy, popcorn kernels, and number cubes.
Mathematics Vision Project
Module 1: Functions and Their Inverses
Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and...
Georgetown University
Cup-Activity: Writing Equations From Data
Determine how cup stacking relates to linear equations. Pupils stack cups and record the heights. Using the data collected, learners develop a linear equation that models the height. The scholars then interpret the slope and the...
Balanced Assessment
Bagels or Donuts
Explore business problems through mathematical analysis. The task has individuals write and graph a linear system to determine the best business model. They use their models to answer a series of questions that help to make a conclusion.
PBL Pathways
Students and Teachers 2
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
Mr. E. Science
Motion
An informative presentation covers motion, metric system, conversions, graphing of coordinates and lines, speed, velocity, and acceleration problems, as well as mean calculations. This is the first lesson in a 26-part series.
EngageNY
The Height and Co-Height Functions of a Ferris Wheel
Show learners the power of mathematics as they model real-life designs. Pupils graph a periodic function by comparing the degree of rotation to the height of a ferris wheel.
EngageNY
Choosing a Model
There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...
Mathematics Vision Project
Modeling Data
Is there a better way to display data to analyze it? Pupils represent data in a variety of ways using number lines, coordinate graphs, and tables. They determine that certain displays work with different types of data and use...
Howard County Schools
Getting Paid for School
What if you were paid to attend class? What kind of payment schedule would you choose? Learn how exponential functions will eventually exceed linear functions by comparing two different payment schedules for attending class.
Charleston School District
Solving Systems Graphically
When guess and check gets old, it's time to start graphing! An instructive lesson explains how to solve a system of linear equations using graphing. Equations are in both slope-intercepts and standard form.
Virginia Department of Education
Square Patios
Build a patio from toothpicks and marshmallows to analyze functions! Learners look for patterns in the data as they create different size patios. As they discover patterns, they make connections between the different representations of...
101 Questions
Stacking Cups
Facilitate an understanding of equality using a modeling task. After watching different-sized cups being stacked, learners use their math skills to determine when the height of each cup tower will be the same. Meant as an introduction to...
Concord Consortium
Catching Up
Class members have some catching up to do. Given a linear equation describing the distance of a runner, young mathematicians interpret the equation in terms of the context. They consider a general equation of the same form and describe...
Mathematics Vision Project
Connecting Algebra and Geometry
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates...
Concord Consortium
Looking through a Window
Here's a window into graphing calculators. Scholars use a graphing calculator to plot a quadratic function. They then adjust the window to make the graph look like that of a linear function and must recreate given graphs.
EngageNY
Mid-Module Assessment Task - Algebra 1 (module 1)
Looking for performance tasks to incorporate into your units? With its flexibility, this resource is sure to fit your teaching needs. Use this module as a complete assessment of graphing linear scenarios and polynomial operations, or...
Mathematics Vision Project
Module 3: Features of Functions
Learn how to represent functions in multiple ways. Learners analyze functions as equations, graphs, and verbal descriptions. The analysis includes intercepts, behavior, domain, and range. The module of seven lessons makes up the third...
Curated OER
Academic Grade 9 Assessment of Mathematics: Algebra I and Geometry
Test your class, or use this 12 page math packet as chapter review. They solve 21 multiple choice problems which require them to graph linear equations, find the volume of prisms and cones, find unknown angles, and determine...
EngageNY
Modeling Relationships with a Line
What linear equation will fit this data, and how close is it? Through discussion and partner work, young mathematicians learn the procedure to determine a regression line in order to make predictions from the data.
Noyce Foundation
Toy Trains
Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish...
Mathematics Vision Project
Quadratic Functions
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan. Learners develop recursive and closed methods for representing real-life situations,...
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...
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