EngageNY
Modeling with Exponential Functions
These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.
West Contra Costa Unified School District
Comparing Linear and Quadratic Functions
If a linear function and a quadratic function enter a boxing match, which one would win? Learners first review how to find key features of linear and quadratic functions. Next, they compare key features of pairs of functions.
Virginia Department of Education
Logarithmic Modeling
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
Curated OER
Using Linear Models
In this Algebra II worksheet, 11th graders examine models whose behavior can be described by a linear function. The four page worksheet contains explanation of topic, three guided problems, and eight practice problems. Answers are not...
Curated OER
Linear Functions
In this algebra worksheet, students identify and label functions as linear or not. They find the domain and range of each function. There are 15 multiple choice questions.
Curated OER
Linear Equations
In this algebra worksheet, students solve linear equations using one and two steps. They solve systems of equations using substitution and elimination with graphing. There are links for ready made tests and quizzes.
5280 Math
Aquarium Equations
Take a look at linear functions in a new environment. A three-stage algebra project first asks learners to model the salt concentration of an aquarium using linear functions. Then, using iterations, pupils create a set of input-output...
Curated OER
Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
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 two-way...
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
Heart Rate Monitoring
Algebra learners like this resource because it is easy to understand and it relates to their lives. Whether you are starting a new workout routine, or just climbing the stairs, your heart rate increases and decreases throughout the day....
Concord Consortium
Function Project
What if a coordinate plane becomes a slope-intercept plane? What does the graph of a linear function look like? Learners explore these questions by graphing the y-intercept of a linear equation as a function of its slope. The result is a...
EduGAINs
Introduction to Solving Linear Systems
Word problems offer class members an opportunity to learn the concept of solving linear systems using graphs. Individuals choose a problem based upon preferences, break into groups to discuss solution methods and whether there is...
CK-12 Foundation
Linear Systems with Addition and Subtraction: XYZ Tiles
Cover it up to reveal the values of variables. Using arrangements of colored tiles representing algebraic expressions, pupils layer them over each other to determine the values of variables. The procedure models the elimination method in...
CK-12 Foundation
Linear Systems with Addition and Subtraction: Fill in the Boxes 2
Systematically combine shapes to arrive at one solution. The resource models a system of linear equations using colored shapes. Pupils follow rules to combine circles and squares to add the two equations together, resulting in one...
Radford University
How do I Create a Scaled Model of a Full-Sized Basketball Court?
Take mathematics to the hoop! Pairs first measure the linear distances on a basketball court. Using those measurements, they determine the scale lengths to create a scaled model. To finish the activity, learners create models of the...
National Research Center for Career and Technical Education
Finance: Depreciation (Double Declining)
Of particular interest to a group of business and finance pupils, this lesson explores depreciation of automobile values by comparing the double declining balance to the straight line method. Mostly this is done through a slide...
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...
Curated OER
The Yo-Yo Problem: Solving Linear Equations
Students compute the length of time it will take to save enough money to purchase a yo-yo. In this math lesson, students create a design with pennies and write the associated linear equation. In this linear equations lesson, students use...
101 Questions
Chalk Lines
Read between the lines to find a solution. Budding mathematicians analyze a situation to solve a problem. They view a video presentation of the problem, brainstorm important information to gather, and write linear equations to find...
EngageNY
Creating and Solving Quadratic Equations in One Variable
Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 4
What is the appropriate model? Sample problems show the extent of the Smarter Balanced assessments Claim 4, Modeling and Data Analysis. Items provide pupils the opportunity to use mathematical modeling to arrive at a reasonable answer....
EngageNY
More on Modeling Relationships with a Line
How do you create a residual plot? Work as a class and in small groups through the activity in order to learn how to build a residual plot. The activity builds upon previous learning on calculating residuals and serves as a precursor to...
CK-12 Foundation
Linear Equations: Deep Dish Pizza
Explore the volume of solids with a real-life connection. Learners calculate the volume of a deep-dish slice of pizza to determine its price. They model the slice as a part of a cylinder and create a formula for calculating the cost.