Illustrative Mathematics
Illustrative Mathematics: F Le Choosing an Appropriate Growth Model
The goal of this task is to examine some population data for large cities from a modeling perspective. Students are asked to decide if the population data can be accurately modeled by a linear, quadratic, and/or exponential function, and...
Illustrative Mathematics
Illustrative Mathematics: F Le Do Two Points Determine an Exponential Function?
In this task, students investigate whether exponential functions will always be determined by two points. It complements the task "Do two points always determine a linear function?" Aligns with F-LE.A.2.
Illustrative Mathematics
Illustrative Mathematics: F Le a Valuable Quarter
The context of this task is that a quarter was put into a bank account in 1901 and students are asked to calculate its value in 2013 at two different interest rates. Those amounts are compared to the appreciation rate of a rare and...
Illustrative Mathematics
Illustrative Mathematics: F Le Basketball Bounces, Assessment Variation 1
This task asks young scholars to analyze a set of data about the height of a basketball for each time it bounces. They choose a model that reasonably fits the data and use the model to answer questions about the physical context. This...
Illustrative Mathematics
Illustrative Mathematics: F Le Basketball Bounces, Assessment Variation 2
This task asks students to analyze a set of data about the height of a basketball for each time it bounces. They choose a model that reasonably fits the data and use the model to answer questions about the physical context. This second...
Illustrative Mathematics
Illustrative Mathematics: F Le Snail Invasion
In this task, students investigate the power of exponential growth in this real-world example of an invasive species that was introduced to Florida in 1966, a giant snail. Aligns with F-LE.A.2 and F-LE.A.4.
Illustrative Mathematics
Illustrative Mathematics: F Le Sandia Aerial Tram
For this task, students examine data on the elevation and the minutes into a ride for a tram that is traveling up a mountain and write an equation for the function that models the relationship between the two variables. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: F Le Basketball Rebounds
The purpose of this task is to introduce students to an exponential decay function in the form f(x) = abx, with a concrete interpretation of the decay factor b. A table shows the rebound height of a basketball for each successive bounce....
Illustrative Mathematics
Illustrative Mathematics: F Le Algae Blooms
This problem examines the growth of algal blooms in Chesapeake Bay. Students build an exponential function modeling algae concentration based on the information provided, and gain an appreciation for the exponential growth exhibited...
Illustrative Mathematics
Illustrative Mathematics: F Le Do Two Points Determine a Linear Function Ii?
In this task, students investigate the relationship between linear equations and linear functions. Aligns with F-LE.A.2.
Illustrative Mathematics
Illustrative Mathematics: F Le Do Two Points Always Determine a Linear Function?
For this task, students explore linear functions and whether they can always be determined by two points on the coordinate grid. It focuses on producing an explicit function f(x) in the case where the line is not vertical. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: F Bf Temperatures in Degrees Fahrenheit and Celsius
In this task involving temperature conversions, young scholars construct a linear function given two input-output pairs, investigate the inverse of a linear function, and reason about quantities and/or solving a linear equation. Aligns...
Khan Academy
Khan Academy: Algebra I: Point Slope Form
Write equations in point-slope form given two pairs of values, and convert the equation into slope-intercept form. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra I: Slope From Graph
Find the slope of a line on the coordinate plane. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra I: Exponential Functions From Tables & Graphs
Write exponential functions of the basic form f(x)=a * b squared, either when given a table with two input-output pairs, or when given the graph of the function. Students receive immediate feedback and have the opportunity to try...
Khan Academy
Khan Academy: Algebra I: Slope Intercept From Two Points
Practice finding the equation of a line passing through two points. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
CK-12 Foundation
Ck 12: Algebra: Function Notation and Linear Functions
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to convert an equation to function notation and how to input a value into a function in order to get an output value.