A-APR Egyptian Fractions II

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Ancient Egyptians used unit fractions, such as $\frac{1}{2}$ and $\frac{1}{3}$, to represent all other fractions. For example, they might express the n...

Material Type: Activity/Lab

Author: Illustrative Mathematics

A-CED, A-REI Introduction to Polynomials - College Fund

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: When Marcus started high school, his grandmother opened a college savings account. On the first day of each school year she deposited money into the ac...

Material Type: Activity/Lab

Author: Illustrative Mathematics

A-CED Cash Box

The given solutions for this task involve the creation and solving of a system of two equations and two unknowns, with the caveat that the context of the problem implies that we are interested only in non-negative integer solutions. Indeed, in the first solution, we must also restrict our attention to the case that one of the variables is further even.

Material Type: Activity/Lab

Author: Illustrative Mathematics

A-CED Rewriting equations

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: In each of the equations below, rewrite the equation, solving for the indicated variable If $F$ denotes a temperature in degrees Fahrenheit and $C$ is ...

Material Type: Activity/Lab

Author: Illustrative Mathematics

A-CED Uranium 238

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

Material Type: Activity/Lab

Author: Illustrative Mathematics

A-REI An Extraneous Solution

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

Material Type: Activity/Lab

Author: Illustrative Mathematics

A-REI Basketball

This task provides a simple but interesting and realistic context in which students are led to set up a rational equation (and a rational inequality) in one variable, and then solve that equation/inequality for an unknown variable.

Material Type: Activity/Lab

Author: Illustrative Mathematics

A-REI Canoe Trip

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

Material Type: Activity/Lab

Author: Illustrative Mathematics

A-REI Collinear points

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Consider three points in the plane, $P=(-4, 0), Q=(-1, 12)$ and $R=(4, 32)$. Find the equation of the line through $P$ and $Q$. Use your equation in (a...

Material Type: Activity/Lab

Author: Illustrative Mathematics

A-REI Estimating a Solution via Graphs

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Jason and Arianna are working on solving the equations \begin{align} 6x + 17y &= 100\\ 5x + 9y &= 86. \end{align} Rounding their answer to the nearest ...

Material Type: Activity/Lab

Author: Illustrative Mathematics

A-REI Ideal Gas Law

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

Material Type: Activity/Lab

Author: Illustrative Mathematics

Effect of Initial Value on Graph of Exponential Function (C>0)

This classroom activity presents College Algebra students with a ConcepTest and a Question of the Day activity concerning the effect of the initial value, C, on the y-intercept and position of an exponential function where C>0 and k is an arbitrarily fixed value in f(x)=Ce^(kx).

Material Type: Activity/Lab, Assessment

Author: James J. Rutledge

Effect of Proportionality Constant on Exponential Graph (k>0)

This classroom activity presents College Algebra students with a ConcepTest and a Question of the Day activity concerning the effect of the proportionality constant, k, on the y-intercept and position of an exponential graph where k>0 and C is an arbitrarily fixed value in f(x)=Ce^(kx).

Material Type: Activity/Lab, Assessment, Teaching/Learning Strategy

Author: James J. Rutledge

Vector Addition: Determining the Displacement Between Two Points in Your School

This activity is a indoor lab where students gather data within their school to develop the concept of displacement in two dimensional motion.

Material Type: Activity/Lab, Assessment, Lesson Plan

Author: Dennis Abernathy

Vector Treasure Hunt

Students work in groups to find a "treasure" using a treasure map with directions written in vector format.

Material Type: Activity/Lab, Assessment, Lesson Plan

Author: Beth Hoagland

Algebra: Arithmetic with Polynomials and Rational Expressions

This site teaches Arithmetic with Polynomials and Rational Expressions to High Schoolers through a series of 4333 questions and interactive activities aligned to 26 Common Core mathematics skills. Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Material Type: Activity/Lab, Interactive

Algebra: Creating Equations

This site teaches High Schoolers how to create equations through a series of 298 questions and interactive activities aligned to 5 Common Core mathematics skills. Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Material Type: Activity/Lab, Interactive

Algebra: Reasoning with Equations and Inequalities

This site teaches Reasoning with Equations and Inequalities to High Schoolers through a series of 5909 questions and interactive activities aligned to 36 Common Core mathematics skills. Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Material Type: Activity/Lab, Interactive

Algebra: Seeing Structure in Expressions

This site teaches Structure in Algebraic Expressions to High Schoolers through a series of 3482 questions and interactive activities aligned to 26 Common Core mathematics skills. Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Material Type: Activity/Lab, Interactive

Inverse Square Law

This animation from KET's distance learning physics course demonstrates the mathematical formula for a scientific law as it applies to light.

Material Type: Interactive, Reading

Authors: KET, The William and Flora Hewlett Foundation