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
Logarithmic Functions
Learners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...
Illustrative Mathematics
Transforming the graph of a function
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and cf(x) for specific values of c. The...
Gatsby Charitable Foundation
Four Activities Using Straight Line Graphs
This math packet includes four different activities which puts linear equations and line of best fit in the context of real world applications. Each activity uses a different linear math modeling equation and asks the learners to...
EngageNY
Modeling Relationships with a Line
What linear equation will fit this data, and how close is it? Through discussion and partner work, young mathematicians learn the procedure to determine a regression line in order to make predictions from the data.
Curated OER
"You're Hired!'
Students investigate linear programming using the TI. In this algebra lesson, students collaborate and graph linear inequalities on a TI. They analyze their data and present it to the class.
Curated OER
The King's Chessboard
Middle schoolers speculate on the better rate of pay: a dollar a day for 10 days, or a penny the first day, two pennies the second, doubling each day for 10 days. Start by listening to the story The King's Chessboard, by David Birch....
Curated OER
You Must Still Think Yourself, CAS Can Only Help
Have the class learn about and make conjectures about a line intersecting a cubic. In this making conjectures about a line intersecting a cubic lesson, students draw lines that intersect a cubic at three different points. Students...
Curated OER
Slopes and Linear Equations
Students find the slopes of linear functions. For this graphing lesson, students analyze linear equations and calculate the slope of the line. They graph a line given the slope and y-intercept.
Curated OER
Graph Dynamic Linear Equations
Students explore the concept of linear equations. In this linear equation lesson, students change parameters of an equation and notice the effect it has on its graph.
Curated OER
Linear Programming and the Inequalz App
Learners graph system of linear inequalities in this lesson. Your class will use the Inequality Graphing App to enter linear programming functions into the calculator that can be stored for later use. They then determine the maximum for...
Curated OER
It's a Drag!
Students create number lines using decimals and whole numbers. In this algebra lesson, students graph and solve linear equations. They plot ordered pairs on a coordinate plane correctly.
Curated OER
Population and Food Supply
What does it mean for something to grow exponentially, and how does that compare to linear growth? This activity tries to help learners gain an understanding of these concepts while modeling real-world problems. Linear and exponential...
Curated OER
Finite Differences
Young mathematicians solve problems with polynomials. As they graph and analyze polynomial functions, learners define constant and finite, and determine the relationship between the constant set of differences and the slope of a linear...
Curated OER
The Function Elevator
Students solve and graph functions. In this precalculus lesson plan, students use piecewise function to relate real life scenarios. They analyze the graphs and identify the vertex and intercepts.
Curated OER
Race Track (Culminating Activity)
Students graph and solve linear equations. In this algebra lesson, students use the slope and y-intercept to graph lines. They relate lines to the real world using different applications.
Curated OER
Impossible Graphs
Students practice plotting functions on the Cartesian coordinate plane while participating in a discussion about the Possible Or Not worksheet/activity. Students also use the Impossible Graphs worksheet to practice reading a graph,...
EngageNY
End-of-Module Assessment Task - Algebra 1 (Module 3)
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...
National Council of Teachers of Mathematics
National Debt and Wars
Take a functional approach to the national debt. Learners collect information about the national debt by decade and plot the data. They determine whether an exponential curve is a good fit for the data by comparing the percent changes...
Flipped Math
Exponential Growth
They grow by leaps and bounds. Learners watch a quick review on function notation as they prepare to learn more about exponential growth. Using their knowledge from sequences, pupils find out whether a function is linear or exponential,...
National Security Agency
Multiple Representations of Limits
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit.
Mathematics Vision Project
Module 7: Connecting Algebra and Geometry
The coordinate plane links key geometry and algebra concepts in this approachable but rigorous unit. The class starts by developing the distance formula from the Pythagorean Theorem, then moves to applications of slope. Activities...
PBL Pathways
Do Homework?
To complete homework or not to complete homework ... that is the question. Decide whether it makes a difference on finals by doing homework. Individuals create a scatter plot and find a line of best fit for data on the percent of...
Curated OER
Algebra 2 - Linear Programming
Students read real world problems, determine the variables, and set up the function using algebraic statements. After entering data into the graphing calculator, they display information in the form of graphs and scatter plots. ...