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Illustrative Mathematics
Sammy's Chipmunk and Squirrel Observations
Here is a fun project. Sammy observes a chipmunk and a squirrel to see how many holes each needs in order to stash the same number of acorns. Scholars could find the answer algebraically or create a table to analyze the...
Illustrative Mathematics
Battery Charging
Your class will be very interested in the results of this activity. How long does it take a MP3 and video game player to charge? Sam only has an hour and the MP3 player only has 40% of its battery life left. Plus, his video player...
Illustrative Mathematics
Area of a Trapezoid
Here is a straightforward example of how to apply the Pythagorean Theorem to find an unknown side-length of a trapezoid. Commentary gives additional information on proving that the inside of the trapezoid is a rectangle, but is...
Illustrative Mathematics
Comparing Years
Who knew that the Egyptian, Julian, and Gregorian year were different lengths? Your mathematicians will! They will have to calculate the difference between the years in seconds and find the percent change. Using dimensional analysis,...
Illustrative Mathematics
Two-School Dance
Who's ready for the dance? When two middle schools combine for a dance, your learners' job is to calculate the ratio of girls attending. Provided with three different solutions, you can choose from setting up a ratio, linear equation, or...
Illustrative Mathematics
Dana's House
Your class is to find the percent of the lot that is not covered by a house. Make sure your pupils understand the problems before they begin. The lot is the whole of the percent problem and the house is the part. The exercise is good...
Illustrative Mathematics
Overlapping Squares
The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....
Illustrative Mathematics
An Integer Identity
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
Curated OER
Point Reflection
Use this task as an exit ticket for your eight graders during the geometry unit. All they need to do is identify the coordinates of a point reflected over y=2000.
Curated OER
Pairs of Whole Numbers
Mathematical reasoning and linear systems are two of the strategies used to solve this number puzzle. Your learners will enjoy the challenge and the variety of ways to approach this challenge.
Curated OER
Using Random Sampling to Draw Inferences
Emerging statisticians develop the ability to make inferences from sample data while also working on proportional relationships in general. Here, young learners examine samples for bias, and then use random samples to make...
West Contra Costa Unified School District
Interest and the Number “e”
Make a connection between different types of interest and how they are calculated! This algebra II lesson progresses from simple interest to compound interest to continually compounded interest. Formulas are developed rather than given,...
West Contra Costa Unified School District
Simplifying Fractions Activity
Warm-up pupils' fraction muscles with a four-question quiz, then delve into a learning game designed to reinforce the concept of simplifying fractions. Based on the "I do, We do, You do" method of teaching, the lesson directly...
Mathed Up!
Fractions of an Amount
After viewing a video on fractional amounts, young mathematicians put their new knowledge to the test. Throughout the assessment, class members find the fractional amount for prices, times, and populations. There are a few percent and...
Mathematics Assessment Project
Optimizing Coverage: Security Cameras
Are you being watched? Class members determine where to place security cameras protecting a shop. They then evaluate their own and several provided solutions.
Willow Tree
Percent of Change
Your car decreases in value from $20,000 to $17,000. What percent of the value have you lost? Pupils answer word problems by determining the percent of change.
Willow Tree
Simple Probability
The probability of learning from this lesson is high! Learners calculate probabilities as numbers and as decimals. They see how to use a complement to find a probability and even try a simple geometric probability problem.
Curated OER
GSE Foundations of Algebra: Equations and Inequalities
Need lessons on writing and solving one- and two-step linear equations and inequalities, as well as systems of equations? This comprehensive 106-page module from the Georgia Department of Education contains many different lessons for a...
Mathematics Assessment Project
T-Shirt Sale
Everyone loves a sale! As pupils investigate a sale on t-shirts, they determine the percent discount and original prices.
West Contra Costa Unified School District
Interest and the Number e
Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would...
Balanced Assessment
Solar Elements
Let your brilliance shine like the sun. Future mathematicians and scientists consider given data on the abundance of different elements in the sun. The assessment task requires consideration of how these different abundances relate to...
Bowland
Explorers – Patrol Services
Far out — plan a trip to space! Aspiring mathematicians steer a space vehicle through an asteroid field, calculate currency exchanges to buy provisions, and determine placement of charges to blow up asteroids. Along the way, they learn...
Statistics Education Web
NFL Quarterback Salaries
Use statistics to decide if NFL quarterbacks earn their salaries! Learners study correlation coefficients after using technology to calculate regression equations. Through the data, they learn the meaning of correlation and correlation...
Balanced Assessment
Dart Boards
Bulls eye! Design dart boards with specific chances of winning. Individuals determine the probability of hitting a circular and a triangular dart board inscribed in squares. They create dart boards that have a 50 percent chance of...
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