Lesson Plan
Illustrative Mathematics

How Thick Is a Soda Can I?

For Teachers 9th - 11th Standards
The humble soda can gets the geometric treatment in an activity that links math and science calculations. After a few basic assumptions are made and discussed, surface area calculations combine with density information to develop an...
Activity
Illustrative Mathematics

Checking a calculation of a decimal exponent

For Teachers 9th - 12th Standards
In a writing prompt, learners are asked to check the calculation of a decimal exponent without a calculator. Use as an opener or assessment after studying fractional exponents. Requires a strong understanding of exponents and roots to...
Lesson Plan
Illustrative Mathematics

Placing a Square Root on the Number Line

For Teachers 7th - 9th Standards
There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...
Activity
101 Questions

A Cyclist's Marriage Proposal

For Teachers 6th - 8th Standards
One cyclist goes to great lengths to make his proposal! Your classes must figure out just what length that is. Using a map with a bike route that spells out Marry Me, learners calculate the total distance of the ride. They base their...
Activity
Howard County Schools

Building a Playground

For Teachers 9th - 11th Standards
Scholars crave practical application. Let them use the different models of a quadratic function to plan the size and shape of a school playground. They convert between the different forms and maximize area.
Activity
Houston Area Calculus Teachers

Area and Volume

For Students 11th - Higher Ed
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created...
Activity
101 Questions

Ferris Wheel

For Teachers 9th - 12th Standards
Around and around you'll go! Learners analyze the periodic nature of a Ferris wheel. Using a trigonometric function, they make predictions about the location of a specific car at the end of the ride and its total trips around the circle.
Lesson Plan
Curated OER

A Sum of Functions

For Teachers 9th - 12th Standards
Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves...
Activity
Making Math More Fun

Making Math More Fun

For Teachers 2nd - 6th Standards
Address fundamental math skills with a series of fun math board games. With 25 games that focus on addition, subtraction, multiplication, division, place value, and percentages, kids will quickly find that math practice is their favorite...
Lesson Plan
Illustrative Mathematics

Calculating and Rounding Numbers

For Teachers 7th - 9th Standards
Mathematicians need to know that not all numbers are rational. We approximate irrational number with rational numbers. That is why a calculator may be misleading. This task give learners an opportunity to see how rounding a number and...
Activity
US Department of Commerce

Educational Attainment and Marriage Age - Testing a Correlation Coefficient's Significance

For Teachers 11th - 12th Standards
Do women with college degrees get married later? Using a provided scatter plot of the percentage of women who earn bachelor's degrees and the median age at which women first get married over time, pupils conduct a linear regression...
Lesson Plan
Illustrative Mathematics

How Many Leaves on a Tree?

For Teachers 9th - 12th Standards
This is great go-to activity for those spring or fall days when the weather beckons your geometry class outside. Learners start with a small tree, devising strategies to accurately estimate the leaf count. They must then tackle the...
Lesson Plan
Illustrative Mathematics

Sharing Prize Money

For Teachers 6th - 8th Standards
When three classrooms are to split up prize money, your mathematicians must find the percentage that each class deserves and calculate the total amount. There is an option to use a calculator and practice rounding. 
Activity
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Teach Engineering

Energy on a Roller Coaster

For Teachers 9th - 12th Standards
Roll with your class into the idea of conservation of energy. Pupils use a roller coaster track to collect data to reinforce the concept of conservation of energy and the influence of friction. Class members then create a graph from...
Activity
PBL Pathways

Students and Teachers 2

For Students 10th - Higher Ed Standards
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
Activity
Yummy Math

Penny Wars

For Teachers 6th - 10th Standards
As the saying goes, a penny saved is a penny earned. Young scholars use a penny activity to earn their way to an understanding of volume. Given three different-sized cylindrical containers, individuals make calculations to determine the...
Activity
PBS

A Little Recycling Goes A Long Way

For Teachers 5th - 8th
Every time you purchase something from the store, it goes into a bag, but what happens to the bag? This lesson encourages your learners to think about what happens to those plastic and paper bags and their effect on the environment. Use...
Activity
Howard County Schools

Planning for Prom

For Teachers 9th - 11th Standards
Make the most of your prom—with math! Pupils write and use a quadratic model to determine the optimal price of prom tickets. After determining the costs associated with the event, learners use a graph to analyze the break even point(s).
Activity
101 Questions

Shower v. Bath

For Teachers 6th - 8th Standards
Which requires more water--a bath or a shower? Given some specific criteria, learners attempt to answer the question. A video shows how long it takes to fill a gallon container using a faucet and a shower head. Using that information and...
Activity
Houston Area Calculus Teachers

Related Rates

For Students 11th - Higher Ed
Use a hands-on approach to exploring the concepts of related rates in your AP Calculus class. Individuals explore the effect of the rate of change on a variable related to a variable they control. After analyzing the data they...
Activity
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Illustrative Mathematics

Calculating the square root of 2

For Teachers 7th - 10th Standards
Does a calculator give you the exact value of the square root of 2? Here, learners must decide if 1.414236 is equal to the square root of 2. They must also explain why the square root of 2 could never be equal to a terminating decimal....
Activity
Firelands Local Schools

Exponential Growth and Decay

For Students 9th - 12th Standards
How can you safely model exponential growth and decay? A hands-on activity uses candies to model not only exponential decay, but also exponential growth. Exponential equations are fitted by hand and by use of a calculator...
Activity
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Baylor College

Food: The Math Link

For Teachers K - 5th Standards
Enrich your study of food science with with these math worksheets. They offer a variety of food-related word problems that are great practice for multiplying, identifying fractions, estimating length, and performing calculations...
Lesson Plan
Illustrative Mathematics

Comparing Rational and Irrational Number

For Teachers 7th - 9th Standards
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...