Illustrative Mathematics
Illustrative Mathematics: F Le Newton's Law of Cooling
For this problem, students use an exponential equation to investigate the cooling of a cup of coffee and how long it would take for it to cool down to different temperatures. Aligns with F-LE.B.5 and F-LE.A.4.
Illustrative Mathematics
Illustrative Mathematics: F Le Carbon 14 Dating in Practice I
In this task, students learn about exponential decay by examining the amount of Carbon-14 left in a preserved plant with the passage of time after the plant has died. This provides a simple introduction to Carbon-14 dating but the actual...
Illustrative Mathematics
Illustrative Mathematics: F Le Illegal Fish
In this task, students learn about exponential functions when they investigate the exponential growth of an invasive fish population. Aligns with F-LE.B.5 and F-LE.A.1.c.
Illustrative Mathematics
Illustrative Mathematics: F Le Us Population 1982 1988
In this task, students are shown a table of U.S. population data between 1982 and 1988 and are asked to explore whether linear functions would be appropriate to model relationships within the data. Aligns with F-LE.B.5 and F-LE.A.1.b.
Illustrative Mathematics
Illustrative Mathematics: F Le Taxi!
In this task, students explore the linear relationship between distance traveled and taxi fare cost. Aligns with A-REI.D.10 and F-LE.B.5.
Illustrative Mathematics
Illustrative Mathematics: F Le a Saturating Exponential
For this problem, students use an exponential equation to investigate the warming up of a cold beverage on a summer day and analyze a graph to estimate temperatures. Aligns with F-LE.B.5 and F-BF.B.
Khan Academy
Khan Academy: Algebra I: Linear Equations Word Problems
Solve word problems about real world relationships that are given in formulas. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Interpret Change in Exponential Models: With Manipulation
Solve problems interpreting change in exponential models with manipulation.
Khan Academy
Khan Academy: Interpret Change in Exponential Models: Changing Units
Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Khan Academy
Khan Academy: Interpret Change in Exponential Models
Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Khan Academy
Khan Academy: Linear Models Word Problems
Solve general word problems about real-world relationships that can be modeled by linear equations or functions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Colorado State University
Csu: Four Stroke Fuel Air Otto Cycle Gasoline (C7 H17)
A Java applet which allows the visitor to investigate the physical parameters associated with the individual strokes of a 4-stroke gasoline engine. Visitors enter parameters such as exhaust temperature, fuel ratio, and ambient pressure...
Wolfram Research
Wolfram Math World: Altitude
This site from Math World describes the altitude of a triangle, and shows how to find these altitudes using the parameter and positions of the vertexes and angles of the triangle. The site gives other interesting formulas involving the...
Wolfram Research
Wolfram Mathworld: Mean Value Theorem
This MathWorld site gives parameters for the Mean Value Theorem included in the definition; there is however no picture to illustrate this.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Equation of a Sphere
Learn about how many points determine a unique sphere and how many points are needed to create a family of spheres. Dr. Rob works out the equation of a family of spheres given three points and then the equation of a unique sphere can be...
Math Slice
Basic Math: Telling Time
This resource covers telling time where students can choose time intervals to practice. After selecting parameters students complete ten problems with instant feedback and an opportunity to practice again.
Math Slice
Basic Operations: Addition
This resource covers basic addition where students can choose a range of numbers including negatives or even decimals. After selecting parameters students are timed completing ten problems with instant feedback and an opportunity to...
Math Slice
Basic Math: Subtraction
This resource covers basic addition where students can choose a range of numbers including negatives or even decimals. After selecting parameters students are timed completing ten problems with instant feedback and an opportunity to...
Math Slice
Basic Math: Multiplication
This resource covers basic multiplication where students can choose a range of numbers including negatives or even decimals. After selecting parameters students are timed completing ten problems with instant feedback and an opportunity...
Math Slice
Basic Math: Division
This resource covers basic division where students can choose a range of numbers including negatives or even decimals. After selecting parameters students are timed completing ten problems with instant feedback and an opportunity to...
Math Slice
Basic Math: Rounding
This resource covers whole number rounding where students can choose to round to the nearest tens to millions. After selecting parameters students are timed completing ten problems with instant feedback and an opportunity to practice again.
Math Slice
Basic Math: Number Pattern
This resource covers number patterns where students can choose a range of numbers and the type of pattern they would like to practice. After selecting parameters students are timed completing ten problems with instant feedback and an...
Math Slice
Basic Math: Missing Number
This resource covers numbers in sequence where students can choose a range of numbers and which number they want to practice counting by to determine the missing number in the set of numbers. After selecting parameters students are timed...
Math Slice
Math Slice Fast Sum
This resource is a set of ten timed practice problems where parameters are selected for the sum and the range of addends. The sum and one addend are given and students determine the missing number to create the sum. Instant feedback and...