Illustrative Mathematics
Extensions, Bisections and Dissections in a Rectangle
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
Houston Area Calculus Teachers
Related Rates
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...
EngageNY
Conditional Relative Frequencies and Association
It is all relative, or is it all conditional? Using an exploration method, the class determines whether there is an association between gender and superpower wish through the use of calculating conditional relative frequencies. The...
Math Worksheets Land
Favorite Pizza Pie Graph
You've heard of a pie graph, but what about a pizza pie graph? Challenge young mathematicians to answer ten questions based on a random survey of people's favorite pizzas. A pie graph displays the percentages of each type of pizza. Some...
Mt. San Antonio Collage
Quiz 1: Functions, Domain and Range
Take the work out of worksheets and use these problems and worked-out answer key as a resource. The problems reinforce skills in domain and range, identifying graphs, and even and odd functions.
Illustrative Mathematics
Sounds Really Good! (Sort Of...)
Winning a lottery game with 60% odds sounds like a no brainer. This is when the math kicks in to show players that in the long run, they lose money the more often they play. Here is one simple question that opens the doors to a nice...
Illustrative Mathematics
Graphing Rational Functions
The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...
It's About Time
Mass and Volume
Don't be so dense that light bends around you; study the relationship between mass and volume instead. Young chemists measure the density of a variety of liquids and solids. A reading passage and analysis questions introduce pupils to...
Mathed Up!
Powers, Roots, and BIDMAS
Reinforce math skills with an eight-page exercise that stretches scholars' computation muscles through 13 order of operation problems.
Mathed Up!
Ratio
Reinforce math skills with an eight-page exercise comprised of 15 problems covering the concept of ratios.
Mathed Up!
Ratio
Practice makes proficient! Here, scholars practice their ratio skills to convert measurements while cooking. Nine problems make up a nine-page document equipped with clear instructions and advice for successful completion while working...
Laboratory for Atmospheric and Space Physics
Growing Up With A Mission
New Horizons began its journey to Pluto in 2006. Ten years later, it continues its mission. In that time, scholars have surely grown, but how much more will they grow by the time New Horizons reaches its destination? Find out with an...
Charleston School District
The Distance Between Points
Find the shortest distance from A to B using the Pythagorean Theorem! Scholars learn they can find the distance between two points by creating a right triangle using the horizontal and vertical lengths and applying the Pythagorean...
EngageNY
Using Sample Data to Estimate a Population Characteristic
How many of the pupils at your school think selling soda would be a good idea? Show learners how to develop a study to answer questions like these! The activity explores the meaning of a population versus a sample and how to interpret...
Bowels Physics
Special Case — Ray Diagrams
Add a ray of light to the class as young scientists learn important foundational concepts. Assist pupils with focal lengths as they study ray diagrams. Pupils review images and compare them to mirrored images before solving problems on...
EngageNY
Why Do Banks Pay YOU to Provide Their Services?
How does a bank make money? That is the question at the based of a activity that explores the methods banks use to calculate interest. Groups compare the linear simple interest pattern with the exponential compound interest pattern.
Association of Fish and Wildlife Agencies
Schoolyard Biodiversity Investigation Educator Guide
In 1980, in the tropical rainforests of Panama, scientists discovered 1,200 species of beetles living in and around just 19 trees, with most of the species new to science—that's biodiversity! In the activity, learners work in teams to...
Bowland
Outbreak: Infection Detection
Explore the mathematics of infection outbreaks with activities that ask learners to use coordinate grids to locate infected patients. They calculate amounts of ingredients for antidotes and determine which groups of people should be...
EngageNY
When Can We Reverse a Transformation? 1
Wait, let's start over — teach your class how to return to the beginning. The first lesson looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with a determinant...
Virginia Department of Education
The Ratio of Surface Area to Volume
Demonstrate the ratio of surface area to volume in your high school class by using phenolphthalein, gelatin, and an onion. Intrigue the class by leading a discussion on osmosis and diffusion, then making "scientific jello." Participants...
Curated OER
Candy Machine
Using the concept of a candy vending machine, young mathematicians explore the sugar ratios found in different types of candy. Using the provided information, class members calculate and compare different ratios in...
NOAA
Importance of Deep-Sea Ecosystems – How Diverse is That?
When judging diversity of an ecosystem, both species evenness and species richness must contribute. After a discussion of diversity and a guided example using the Shannon-Weaver function, scholars use the same function on two other...
EngageNY
Graphs of Simple Nonlinear Functions
Time to move on to nonlinear functions. Scholars create input/output tables and use these to graph simple nonlinear functions. They calculate rates of change to distinguish between linear and nonlinear functions.
University of Colorado
Planetary Distances on the Playground
Earth is 149,600,000 km, or 92,957,130.4 miles, from the sun. Young astronauts create an interactive model to learn the distances between planets. Nine groups, each representing a different planet, are spread around at class-calculated...
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