Curated OER
Functions & Algebra
Students examine linear equations. In this functions and algebra lesson, students write equations in the slope-intercept form. They enter data in a graphing calculator, examine tables, and write linear equations to match the data.
Curated OER
Introduction to Functions
Students explore functions, function rules, and data tables. They explore terms of linear functions. Students use computers to analyze the functions. Students write short sentences to explain data tables and simple algebraic expressions.
Curated OER
TI-Nspire Activity: What Does Your Representation Tell You?
By learning to select the best representation for three meal plans, students compare three meal plans to determine the best choice. Data for the meal plans is sorted on a table, as an algebraic equation, and graphed on a coordinate grid....
Curated OER
Slopes of Lines
Students examine a graph and relate it to the real world situation it depicts. They investigate changes in an equation and the appearance of a line. They investigate the connection between the graph of a situation and the meaning of the...
Curated OER
Functions and the Vertical Line Test
Students examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.
Curated OER
Where Should They Hold the Fundraising Party?
Pupils explore financial applications of linear functions. As they investigate the steps necessary to plan a fundraising event, learners explore minimizing cost and maximizing profits.
Curated OER
Stressed to the Breaking Point
Students explore the relationship between the amount of weight that can be supported by a spaghetti bridge, the thickness of the bridge, and the length of the bridge to determine the algebraic equation that best represents that pattern...
Curated OER
Swimmy's Friends
Students solve problems using various strategies. In this problem solving lesson, students read the book Swimmy by Leo Lionni. Students make fish swimming patterns, measure how many goldfish crackers it takes to make a handprint and...
Curated OER
Piecewise Modeling with Multiple Functions: Federal Debt
High schoolers analyze data on debt and write an equation. In this statistics lesson, students are given data from different time periods, and are asked to graph and analyze the data. They work in groups, and are assigned different parts...
Curated OER
Paul's Patterns
Fourth graders listen to the problem. As the students work ask them questions that require them to describe the patterns in their own words.
If the students are having problems with finding the patterns encourage them to explore the...
Inside Mathematics
Conference Tables
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and...
University of Utah
Functions
Define, explore, compare, and analyze functions with the fourth chapter of a 10-part eighth-grade workbook series. After encountering the definition of a function, pupils begin to explore linear and nonlinear functions. They then...
West Contra Costa Unified School District
Writing Exponential Functions Based on Data
Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of...
Virginia Department of Education
Matching Representations
Pupils explore the many representations of linear functions by completing a matching activity to connect the multiple representations of a function. They then reinforce the connection as individuals create the different representations...
Willow Tree
Approximating a Line of Best Fit
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...
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...
PBL Pathways
Students and Teachers
Predict the future of education through a mathematical analysis. Using a project-based learning strategy, classes examine the pattern of student-to-teacher ratios over a period of years. Provided with the relevant data, learners create a...
5280 Math
Step by Step
One step at a time! A seemingly linear relationship becomes an entirely new type of function. Young scholars build their understanding of step functions by completing a three-stage activity that incorporates multiple representations of...
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...
EngageNY
Algebraic Expressions—The Distributive Property
Do your classes truly understand the distributive property? Use a demonstrative lesson to represent the distributive property in various ways. Learners solidify understanding by creating a geometric pattern for distributive...
National Research Center for Career and Technical Education
Safety and Sanitation
Your microbiologists explore the graphing of exponential growth functions using bacteria, like e. coli and salmonella, in a well-written, career and technology lesson.
Curated OER
Linear Relationship
Students use a graphing calculator to examine the association between the data points and equation of a linear relationship. They write equations in slope- intercept form. Answer key included.
Curated OER
Linear Relationships - Standard Form
Students use a graphing calculator to examine the association between the data points and equation of a linear relationship. They write equations in standard form and then graph the equations using the slop-intercept form. Answer Key...
Curated OER
Mathematics Within: Algebraic Patterns
Students discover patterns in linear equations by playing a dice game to collect data. They graph the data and analyze the patterns of the lines created by the data. The class then compares the individual graphs to evaluate the position...