EngageNY
Prove the Pythagorean Theorem Using Similarity
Amaze your classes with the ability to find side lengths of triangles immediately — they'll all want to know your trick! Learners use the Pythagorean Theorem and special right triangle relationships to find missing side lengths.
Curated OER
Go Fish!
Eighth graders use goldfish crackers to simulate a capture-recapture method of data collection. They fill in a chart and determine the averages. They find the estimated population of fish and the actual population of fish based on the...
Curated OER
Solve for Scale Factors Using Proportions
Eighth graders solve problems using proportions with scaled drawings. They work with maps and blue-prints discussing scales and plans and examine different polygons and figure out the scale factors or proportions they have been changed by.
Curated OER
Go Fish!
Students collect data, interpret data summarize proportional reasoning. Students determine (with various alternate goods) the number of fish in a nearby pond. Students capture the goldfish crackers, deal with pretzels and then write...
Curated OER
Frame Yourself
Young ratio masters calculate and cut a frame (out of poster board) to accurately create an even frame around a picture of themselves. The frame needs to be proportional to the picture with constraints determined by the instructor.
Curated OER
The Right Stuff
Studentsare introduced to the Pythagorean Theorem by exploring right triangles and the squares built on each side. They apply the Pythagorean Theorem to real-world problems. Students u se informal and nonformal arguments of proof (i.e.,...
Curated OER
Perfumania
Students identify various geometric shapes. Apply the given formulas to determine the volume of these shapes. Design their own container to conform to specifications provided. Use their knowledge of volume formulas and shapes to compute...
Virginia Department of Education
High School Mathematics Geometry Vocabulary Word Wall Cards
Having a good working knowledge of math vocabulary is especially important for geometry learners. Here are 119 pages worth of wonderfully constructed definitions, constructions, formulas, properties, theorems, and postulates. This is a...
Curated OER
Art Class, Variation 2
Given a set of six paint mix ratios, artistic mathematicians produce an equation that relates the number of parts for blue paint to parts for yellow paint resulting new shades of green.
Curated OER
Worksheet 14: Properties of Logs
In this math worksheet, students are given 7 problems in which they review properties of logs and solve, differentiate formulae, find derivatives and solve story problems involving the rate of spread of a disease and Newton's Law of...
Radford University
Green Cravings
Build up a bag of green. Pupils determine the number of green Skittles in a snack bag and come up with a way to determine how many snack bags it would take to create one bag of only green Skittles. Classmates share their methods and...
EngageNY
How Do Dilations Map Angles?
The key to understanding is making connections. Scholars explore angle dilations using properties of parallel lines. At completion, pupils prove that angles of a dilation preserve their original measure.
Balanced Assessment
House Plan
A short assessment has individuals determine the scale of a house plan. They use the scale to calculate the size of a door and window that need to be replaced, and then divide a bedroom in two, calculating the size of rooms created.
101 Questions
Electric Bill
A brilliant resource is at your disposal. Future consumers investigate and discuss an electric bill. Given only partial information, they estimate the monthly bill. They then consider how tiered pricing will affect the bill.
PHET
Unit Rates
Sometimes you just want to know the cost of one apple. A fun interactive lets learners explore the unit costs of fruits, vegetables, and candy. It shows how ratios to express ratios symbolically and on a double number line.
Mathematics Assessment Project
Shelves
Don't leave this task on the shelf — use it is assess middle schoolers understanding of patterns. Participants try to discover a pattern in the number of bricks and planks used to make shelves. They then match descriptions...
Bowland
Reducing Road Accidents
By making the following changes to the roads, we can prevent several accidents. A multiple-day lesson prompts pupils to investigate accidents in a small town. Pairs develop a proposal on what to do to help reduce the number of...
Radford University
How Tall is the Tree?
Pairs or small groups work together to determine the height of a tree using similar triangles. Learners make a judgement which direction to let a tree fall to avoid hitting any structures. They then write letters to the principal...
Radford University
Fuel Efficient Function Activity
Pupils research the five most fuel efficient vehicles of the same type and come up with a way to display the mile per gallon for each vehicle. After choosing a vehicle, scholars create graphs to display miles traveled given the amount of...
Shodor Education Foundation
Incline
Study velocity while examining graphical representations. As scholars work with the animation, they discover the effect the height of an incline has on the velocity of the biker. They make conclusions about the slope of the...
101 Questions
World Record Balloon Dog
What is the world record for a dog popping 100 balloons? Viewers observe as a dog pops 25 balloons and must figure out how long it should take for the canine to pop the other 75. They discover the previous record and predict if this dog...
101 Questions
Graduation
Graduation ceremonies are huge milestones, but sometimes waiting for a name to be called gets a bit boring. Scholars find the pace the announcer calls names to determine how long until a specific name is called. Calculations work in...
101 Questions
Mowing the Lawn
It'll take as long as it'll take. After watching a short video clip of someone moving a lawn as well as a running stopwatch, pupils estimate how long it would take to mow the entire lawn. Provided diagrams show the dimensions of the lawn...
PHET
Equality Explorer: Basics
Not all interactives are made equal. Scholars use an interactive balance to explore the concept of equality. They place different objects on balances to determine the number of each object needed to balance the scale.