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...
EngageNY
Relationships Between Two Numerical Variables
Is there another way to view whether the data is linear or not? Class members work alone and in pairs to create scatter plots in order to determine whether there is a linear pattern or not. The exit ticket provides a quick way to...
Curated OER
Linear Relations
In this linear relations worksheet, students complete a table for given functions. They classify graphs as linear or non-linear. Students graph given equations. They compare and contrast graphs. This nine page worksheet contains five...
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.
Concord Consortium
Systematic Solution I
Writing a general rule to model a specific pattern is a high-level skill. Your classes practice the important skill as they write rules describing the solutions to a system of equations with variable coefficients. As an added challenge,...
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 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 Assessment Project
Generalizing Patterns: Table Tiles
As part of a study of geometric patterns, scholars complete an assessment task determining the number of tiles needed to cover a tabletop. They then evaluate provided sample responses to see different ways to solve the same problems.
Curated OER
Linear and Exponential Models
High schoolers investigate the differences between linear and exponential models. In this linear and exponential models lesson, students make a table of given data. High schoolers determine if the data is linear or exponential by...
Howard County Schools
To Babysit or Not to Babysit?
Would you work for a penny today? Use this activity to highlight the pattern of increase in an exponential function. Scholars compare two options of being paid: one linear and one exponential. Depending on the number of days worked, they...
Curated OER
Linear and Exponential Models
Learners linearize data to determine if an exponential model is suitable. In this linearizing data to determine if an exponential model is suitable lesson, students graph the residuals of sets of data that appear to have an exponential...
Curated OER
Exploring F function Graphs
Using three set of data that relate temperature to another variable, 10th graders will use graphs, tables, or equations to make predictions about data. Students will identify the relations as linear or non-linear. Students will define...
Curated OER
Sloping and Intersecting a Linear Function
Students examine and discuss typical linear equations, and the difference between a linear and nonlinear equation. They observe examples of linear equations and complete a worksheet.
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
Linear and Nonlinear Functions
Students identify properties of a line. In this algebra lesson, students differentiate between functions and nonfunctions. They use the slope and y intercept to graph their lines.
Curated OER
Graphs and Functions
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.
Inside Mathematics
Graphs (2004)
Show your pupils that perimeter is linear and area is quadratic in nature with a short assessment task that requests learners to connect the graph and equation to a description about perimeter or area. Scholars then provide a...
EngageNY
Exploring the Symmetry in Graphs of Quadratic Functions
Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The instructional activity begins with the vocabulary of a quadratic...
Curated OER
Functions and the Vertical Line Test
Learners 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
Introduction to Linear Functions
Students are introduced to the concept of linear functions. Using new terminology, they describe linear functions in sentences and in data tables. Using the internet, they calculate and record answers to problems which are discussed...
EngageNY
Analyzing Residuals (Part 2)
Learn about patterns in residual plots with an informative math lesson. Two examples make connections between the appearance of a residual plot and whether a linear model is the best model apparent. The problem set and exit ticket...
Noyce Foundation
Between the Lines
Explore linear and square dimensions by comparing areas of similar figures. A creative set of five activities designed for elementary through high school classes asks young scholars to compare areas of specific polygons. The first two...
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...
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...