Interactive
CK-12 Foundation

Applications Using Linear Models: Scuba Diving

For Students 7th - 10th Standards
Dive into this resource on rates of change and linear models. Pupils use two sliders in an interactive to adjust water temperature and depth. They use a given linear equation to calculate the rate of change in water temperature per unit...
Worksheet
Curated OER

Looking at Exponential and Linear Models

For Students 7th - 12th
In this shopping center worksheet, students use exponential and linear models to complete word problems about a shopping center. Students complete 6 problems.
Lesson Plan
EngageNY

Modeling an Invasive Species Population

For Students 9th - 10th Standards
Context makes everything better! Groups use real data to create models and make predictions. Classmates compare an exponential model to a linear model, then consider the real-life implications. 
Interactive
National Council of Teachers of Mathematics

Geogebra: Residuals and Linear Regression

For Students 9th - 12th Standards
If the line fits, use it. Using a Geogebra interactive, pupils plot points and try to find the best fit line. They assess the linear fit by analyzing residuals. A radio button allows participants to show the regression line and the...
Lesson Plan
EngageNY

The Power of Exponential Growth

For Students 9th - 10th Standards
How do you make a penny grow to $5,000 in just 15 days? Use the examples in this instructional activity to explore the concept of exponential growth and its comparison to linear models. Pupils come to understand that exponential growth...
Lesson Plan
EngageNY

Linear and Exponential Models—Comparing Growth Rates

For Students 9th - 10th Standards
Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...
Activity
101 Questions

25 Billion Apps

For Students 6th - 9th Standards
Learn to use mathematics to your advantage! Using linear modeling, scholars predict the date and time the Apple App Store reaches 25 billion downloads. Considering the prize for the 25 billionth download was a $10,000 gift card, modeling...
Worksheet
Curated OER

Piecewise Linear Functions: Extending Stories to Graphs

For Students 8th - 10th
Using this resource, scholars develop graphs that model situations by showing change over time. They answer 15 questions based on information from charts that show growth in weight. They extend the concepts to an assessment section of...
Instructional Video16:36
2
2
Flipped Math

Linear vs. Exponential

For Students 9th - 10th Standards
Linear or exponential?. Learners watch an informative video comparing situations that may be modeled by either a linear or exponential relationship. Pupils determine the type of relationship and then create a function that models the...
Lesson Plan
EngageNY

Comparing Linear and Exponential Models Again

For Students 9th - 10th Standards
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
Lesson Plan
Virginia Department of Education

Graphing Linear Equations

For Students 8th Standards
Combine linear equations and a little creativity to produce a work of art. Math scholars create a design as they graph a list of linear equations. Their project results in a stained glass window pattern that they color.
Handout
Charleston School District

Graphs of Linear Functions

For Students 8th Standards
What does a slope of 2/3 mean? Develop an understanding of the key features of a linear function. Pupils graph the linear functions and explain the meaning of the slope and intercepts of the graphs. 
Assessment
Charleston School District

Review Unit 4: Linear Functions

For Students 8th Standards
It's time to show what they know! An assessment review concludes a five-part series about linear functions. It covers all concepts featured throughout the unit, including linear equations, graphs, tables, and problem solving.
Lesson Plan
EngageNY

Modeling with Polynomials—An Introduction (part 2)

For Students 10th - 12th Standards
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
Interactive
CK-12 Foundation

Modeling: Mathematical, Physical and Conceptual

For Students 6th - 12th Standards
Scientific models help explain ideas and concepts to non-experts. The online activity covers conceptual, mathematical, and physical models. Through four multiple-choice questions and three discussion questions, scholars gain a deeper...
Assessment
Achieve

Ivy Smith Grows Up

For Students 9th - 12th Standards
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.
Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: Fill in the Boxes 1

For Students 8th - 10th Standards
Eliminate a color by dragging shapes. The interactive provides a graphical color display that allows for pupils to solve a linear system by elimination. Learners combine figures following set rules for positive and negative shapes. The...
Assessment
EngageNY

End-of-Module Assessment Task - Algebra 1 (Module 3)

For Students 9th - 10th Standards
Looking for higher-level thinking questions? This assessment provides questions that challenge young mathematicians to think and analyze rather than simply memorize. Topics include piecewise functions, linear modeling, exponential...
Interactive
CK-12 Foundation

Graphs of Linear Model of Direct Variation: On the Moon

For Students 8th - 12th Standards
You'll be over the moon about this resource. Scholars draw a line representing the weight of an object on the moon based on its mass. Consideration of the constant of proportionality allows them to see relationships between weight of an...
Worksheet
Curated OER

More Problems in Context: Linear Models

For Students 12th - Higher Ed
Six application problems help students to master their knowledge of linear models. Each problem is cited with the original publication source. These questions could be a good class activity, homework assignment, or incorporated into a quiz.
Worksheet
Curated OER

Topic 3.5 & 3.6: Linear Programming

For Students 9th - 12th
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.
Worksheet
Curated OER

Exploring Linear Equations: Student Worksheet

For Students 5th - 6th
An activity around linear equations, slope, and intercept is here for you. In it, young mathematicians engage in a whole-class activity while the teacher uses the overhead projector graphing calculator. This activity also focuses on...
Interactive
CK-12 Foundation

Linear, Quadratic, and Cubic Models: The Box Model

For Students 10th - 12th Standards
Models make math manageable. Individuals investigate a cubic function that models the volume of a cube through the interactive.
Workbook
1
1
University of Utah

Statistics-Investigate Patterns of Association in Bivariate Data

For Students 8th Standards
Young mathematicians construct and analyze patterns of association in bivariate data using scatter plots and linear models. The sixth chapter of a 10-part eighth grade workbook series then prompts class members to construct and...

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