Concord Consortium
Rising Prices
What will that cost in the future? The scenario provides pupils with a growth as a Consumer Price Index. Learners create functions for a given item to determine future prices and graph them. Class members then compare their functions to...
Curated OER
Exponential Growth Versus Linear Growth I
Your algebra learners will discover how quickly an exponential function value grows compared to a linear function's value. Making a table of values helps in this comparison, set in the context of making a wage for raking leaves.
PBL Pathways
College Costs
Predict the year that college costs will double in your state using linear modeling. The first part of this two-part project based learning activity asks young mathematicians to use data from the College Board. They graph the data, write...
Curated OER
Lesson 2 Solving y=mx+b systems
Students solve linear systems using slope intercept form. In this algebra lesson, students solve equations by rewriting them in the form y = mx + b. They evaluate coordinate pairs to see if they are a solution to the problem. Students...
Curated OER
Absolute Value of Linear Functions
Students identify and interpret how absolute value affects linear functions. They also graph linear functions and reflect them in a line of symmetry. Finally, students evaluate the absolute value of a constant using technology to...
Curated OER
Reflections of a Linear Function
Students identify and reflect functions about the X-axis, Y-axis, and origin. They derive equations for reflected functions and graph the linear functions. Finally, students identify that f(x) can be reflected about each axis and the...
Curated OER
Graphing Linear Functions Using Their Slopes
In this Algebra I learning exercise, 9th graders graph a linear function using its slope. The one page learning exercise contains one multiple choice problem with the solution.
Curated OER
Discovering Different Types of Functions
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
Virginia Department of Education
Transformation Investigation
Graph it! Investigate transformations with a graphing calculator. Pupils graph sets of linear functions on the same set of axes. They determine how changes in the equation of a linear function result in changes in the graph.
Curated OER
Topic 3.5 & 3.6: Linear Programming
In this linear programming worksheet, students define variables and write a system of inequalities for the given situation. They model the solution through graphing. This two-page worksheet contains six multi-step word problems.
Curated OER
Chapter 2 Practice test
Overall, this worksheet contains a good selection of problems that reviews different aspects of linear equations. Learners examine and graph linear equations, absolute value equations, and inequalities in two variables. The three page...
Curated OER
Two-Variable Linear Inequalities
Here is an engaging lesson on solving equations with two variables. Have the class rewrite linear equations in the slope intercept form, y=mx + b. They graph the lines using the slope and y-intercepts.
Curated OER
Two Variable Linear Equations
Everything you need to teach a lesson on two variable linear equations is right here. Objective, vocabulary, tech tips videos, and multiple downloadable files are all included. Learners will use the TI-Nspire technology to determine the...
Curated OER
Linear Inequalities in One and Two Variables: Rays and Half Planes
Define rays and half planes, including the concepts of boundary lines and prerequisite knowledge of coordinate planes. Given linear inequalities in one and two variables, your class will compare the differences. They will also graph...
Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
EngageNY
Relationships Between Two Numerical Variables
Working in small groups and in pairs, classmates build an understanding of what types of relationships can be used to model individual scatter plots. The nonlinear scatter plots in this lesson on relationships between two numerical...
Rice University
Intermediate Algebra
Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...
Achieve
Ivy Smith Grows Up
Babies grow at an incredible rate! Demonstrate how to model growth using a linear function. Learners build the function from two data points, and then use the function to make predictions.
Curated OER
Building a Quadratic Function Form
Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...
SHS Algebra
Linear vs. Exponential Functions Tasks
Your algebra learners will enjoy the real-life application of the three tasks presented here. They complete a table and a graph comparing the two options presented. One option is linear, while the other is exponential. After coming up...
SHS Algebra
Transformations of Linear and Exponential Graphs
Your transformers will create and analyze graphs to discover which operations produce which transformations. Linear and exponential functions are used to model the transformations.
Curated OER
Linear and Quadratic Model, Data Modeling
Learners model quadratic and linear equations. In this algebra lesson, students solve word problems using equations. They create scatter plots and make predictions using correlations.
02 x 02 Worksheets
Inverse Variation
Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...
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