Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
West Contra Costa Unified School District
Connecting Arithmetic Sequences to Linear Equations
Common difference is to arithmetic sequences as what is to linear equations? (Answer: slope) Pupils learn how arithmetic sequences can be considered as linear patterns. They then write linear equations to represent arithmetic sequences...
Curated OER
Chairs Around the Table
Youngsters become flexible problem solvers with this challenging lesson. If there are 24 square tables in a restaurant, how many customers can be seated at one time? They can use manipulatives or draw pictures to help them find the...
Curated OER
Linear and Quadratic Model, Data Modeling
Students model quadratic and linear equations. In this algebra lesson, students solve word problems using equations. They create scatter plots and make predictions using correlations.
Charleston School District
Tables of Linear Functions
Don't forget the tables! The previous lessons in this five-part series examined the linear equation and graph relationship. The current lesson adds tables to the mix. At completion, individuals should be able to create a table of values,...
Curated OER
Interpreting Graphs
Sixth graders interpret linear and nonlinear graphs. They create graphs based on a problem set. Next, they represent quantitive relationships on a graph and write a story related to graphing.
Curated OER
Patterns and Algebra - Modeling
Seventh grade math is so much fun! They solve 10 different problems that include using patterns to complete a table, describe the pattern, and identify the specific term in the pattern for each. Then they give a description of the...
Waterloo Mathematics
Grade 7 Patterning and Algebra: Algebraic Expressions
Classmates solve 18 different problems that are mostly word problems that apply algebraic expressions. They draw different combinations of masses on a scale that would balance. They also simplify expressions and solve for x in a number...
Kenan Fellows
Dinner Party: Using Pattern Trains to Demonstrate Linear Functions
Nothing fancy here ... just your run-of-the-mill Algebra party! Learners explore the patterns of linear functions while designing seating arrangements for a dinner party. Comparing the number of tables to the perimeter of the combined...
Curated OER
Peter's Third String
Explore the solution to a word problem involving area and perimeter. Learners read and discuss how to approach the problem. In small groups, they determine the maximum area of a rectangle with a given perimeter using a piece of string....
EngageNY
Nonlinear Motion
Investigate nonlinear motion through an analysis using the Pythagorean Theorem. Pupils combine their algebraic and geometric skills in the 24th lesson of this 25-part module. Using the Pythagorean Theorem, scholars collect data on the...
Curated OER
Chairs Around the Table
Students are introduced to perimeter. In this perimeter instructional activity, students look at how many chairs can fit around a number of square tables. They find different linear patterns within the problem.
Curated OER
The Power of Algebra
First graders explore patterns. They look for patterns in number problems and use algebra as a means of solving general problems. Students devise a strategy to solve the number problem.
Curated OER
The Yo-Yo Problem: Solving Linear Equations
Students write the algebraic equation to determine the number of weeks money must be saved to purchase a yo-yo. In this algebra activity, students create a pattern of one penny surrounded by six pennies. They continue the pattern and...
Cabrillo College
Elementary Algebra
Hello Algebra! If you're in need of a resource with a books worth of examples and practice problems, this is it. Some topics include linear equations, polynomials and exponents, rational expressions, quadratic equations, and a great...
Curated OER
Modeling in Algebra
In this modeling in algebra activity, 8th graders solve ten different types of algebra problems, including 5 word problems. They first complete each table, describe the pattern used, and determine the 20th and nth term for each. Students...
Curated OER
Reading Graphs
Working independently or in teams, your class practices connecting graphs, formulas and words. This lesson includes a guided discussion about distance vs. time graphs and looking at how velocity changes over time.
Noyce Foundation
Double Down
Double the dog ears, double the fun. Five problems provide increasing challenges with non-linear growth. Topics include dog ears, family trees and population data, and geometric patterns.
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
Model and Solve Algebraic Equations
Examine multiple ways to solve algebraic equations. Pupils will generate a problem solving strategy that addresses the prompt given by the teacher. They will then share their problem solving strategy with the class. Graphic organizers,...
Curated OER
What's The Point?
Students solve word problems using the correct math symbols. For this algebra lesson, students use the TI calculator to graph their equation and analyze it. They find the line of regression and use to draw conclusion.
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 by developing an algebraic...
West Contra Costa Unified School District
Solving Inequalities
What does translating points on a number line have to do with solving inequalities? Young mathematicians first learn about translations of points on a number line, and then use this information to solve linear inequalities in one variable.
Mathematics Assessment Project
College and Career Readiness Mathematics Test B1
Math was easier before it got mixed up with the alphabet. A 10-page test covers material from multiple years of high school math. Scholars demonstrate knowledge across domains with a mixture of short answer and applied problems.