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Illustrative Mathematics

How Many Buttons?

For Teachers 6th - 8th Standards
Bring the class into the probability by having everyone count buttons on their shirts. Organize the data into the chart provided and chose different possibilities such as "female with one button" or "all students with more than four...
Activity
Exploratorium

Tired Weight

For Teachers 6th - 12th Standards
You don't need a scale to determine weight. This activity provides a way to use the concepts of air pressure and surface area to determine the weight of a vehicle by calculating the amount of weight each tire supports.
Activity
2
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Teach Engineering

Tools and Equipment (Part 1)

For Teachers 6th - 8th Standards
Looking for the best inclined plane for the job? Groups calculate the theoretical mechanical advantage for four different inclined planes. They determine the actual mechanical advantage by measuring the amount of force needed for the...
Lesson Plan
Rochester Institue of Technology

Meal Picking

For Teachers 6th - 12th
Scholars explore systems design and its relation to meal picking by using computer simulations to test systems designs. They learn about the Pick-to-Light System and calculate average picking times.
Worksheet
Yummy Math

How Much Wrapping Paper Can You Save?

For Students 4th - 6th Standards
Give the ultimate gift this holiday season: Christmas-themed math skills! Young gift givers calculate the amount of wrapping paper that should be used for a particular wrapping method.
Lesson Plan
Virginia Department of Education

Organizing Topic: Data Analysis

For Teachers 10th - 12th Standards
Learners engage in six activities to lead them through the process of conducting a thorough analysis of data. Pupils work with calculating standard deviations and z-scores, finding the area under a normal curve, and sampling...
Lesson Plan
Virginia Department of Education

z-Scores

For Teachers 10th - 12th Standards
Just how far away from the mean is the data point? Pupils calculate the standard deviation for a set of data and find out how many standard deviations a point is away from the mean. The teacher leads a discussion on how to calculate...
Interactive
Royal Society of Chemistry

pH 4: Activity

For Students 6th - 12th
Sometimes playing games in class isn't a bad thing. Science sleuths evaluate and calculate pH and pOH with an online resource. They then manipulate concentration information and relate it during a series of puzzles.
Lesson Plan
National Sailing Hall of Fame

Sailboat Design Requirements

For Teachers 7th - 12th
Sailboat design requires more than a half-circle and triangle sketch. After viewing a slideshow presentation that outlines the requirements for sailboat design, learners draw a design, perform the needed...
Lesson Plan
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Teach Engineering

Mechanics of Elastic Solids

For Teachers 10th - 12th Standards
Make the connection between Hooke's law and elasticity with an activity that introduces the class to the behavior of elastic materials. The resource defines stress and strain to calculate the modules of elasticity of...
Assessment
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California Education Partners

Miguel's Milkshakes

For Students 7th Standards
Moooove over, there's a better deal over there! The fourth segment in a series of eight requires individuals to determine the best unit cost for milk. Scholars calculate the least amount they can spend on a particular quantity of...
Lesson Plan
Council for Economic Education

Loan Amortization - Mortgage

For Teachers 9th - 12th Standards
When you buy a home for $100,000, you pay $100,000—right?  On the list of important things for individuals to understand, the lesson presents the concept of interest rates and loan amortization using spreadsheets and online sources....
Lesson Plan
Curated OER

Exponential Growth versus Linear Growth II

For Teachers 9th - 12th Standards
Your algebra learners discover that exponential functions, with a base larger than one, outgrow linear functions when the inputs increase sufficiently. Their analysis includes using a graphing calculator to produce tables.
Handout
Santa Barbara City College

How to Make a Multiplication Table

For Teachers 3rd - 6th Standards
Teach children how to make a multiplication table, and they'll be multiplying for life. Following this series of steps, young mathematicians learn to use patterns and the relationships between numbers to create...
Lesson Plan
EngageNY

Summarizing Deviations from the Mean

For Teachers 9th - 10th Standards
Through a series of problems, learners determine the variability of a data set by looking at the deviations from the mean. Estimating means of larger data sets presented in histograms and providing a way to calculate an...
Assessment
Noyce Foundation

Mixing Paints

For Teachers 6th - 7th Standards
Let's paint the town equal parts yellow and violet, or simply brown. Pupils calculate the amount of blue and red paint needed to make six quarts of brown paint. Individuals then explain how they determined the percentage of the brown...
Lesson Plan
Virginia Department of Education

Box-and-Whisker Plots

For Teachers 10th - 12th Standards
The teacher demonstrates how to use a graphing calculator to create box-and-whisker plots and identify critical points. Small groups then create their own plots and analyze them and finish by comparing different sets of data using box...
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...
Lesson Plan
EngageNY

Families of Parallel Lines and the Circumference of the Earth

For Students 9th - 10th Standards
How do you fit a tape measure around the Earth? No need if you know a little geometry! Pupils begin by extending their understanding of the Side Splitter Theorem to a transversal cut by parallel lines. Once they identify the...
Lesson Plan
EngageNY

Margin of Error When Estimating a Population Mean (part 1)

For Students 10th - 12th Standards
We know that sample data varies — it's time to quantify that variability! After calculating a sample mean, pupils calculate the margin of error. They repeat the process with a greater number of sample means and compare the results.
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
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Teach Engineering

Measuring Surface Tension

For Teachers 10th - 12th Standards
How do you measure surface tension? The fifth installment of a nine-part series is an experiment where young scientists use tubes of different sizes to measure surface tension. They calculate the average and standard deviation of the...
Assessment
Bowland

Fruit Pies

For Teachers 6th - 9th
Scholars use formulas for the area of a circle and the area of a rectangle to determine the number of pies a baker can make from a particular area of dough. They must also take into account rolling the remaining dough into a new sheet.
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Curated OER

Rolling Twice

For Teachers 6th - 8th Standards
Rolling dice is the best way to show your learners how probability comes in to play. Although this lesson does not specify an activity, your mathematicians can try this probability with real dice to calculate their experimental...

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