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Illustrative Mathematics

Similar Triangles

For Teachers 9th - 11th Standards
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
Activity
Bowland

You Reckon?

For Teachers 6th - 9th
Sometimes simple is just better. A set of activities teaches young mathematicians about using plausible estimation to solve problems. They break problems down to simpler problems, use rounding and estimation strategies, and consider...
Interactive
CK-12 Foundation

Graphs of Linear Systems: Heart Rate Tracker

For Students 8th - 10th Standards
Max out heart rates for males and females. Formulas of maximum heart rates provide the equations for a linear system. Pupils use the interactive to graph the equations for males and females and determine their points of intersection. The...
Interactive
CK-12 Foundation

Expected Value: Win a Dollar

For Students 11th - 12th Standards
Spin a wheel, land on a color ... and win. Learners create a graph to display the probabilities of the amount of money they can win by spinning a colored wheel. The pupils use the dollar amounts and their probabilities to calculate the...
Interactive
Shodor Education Foundation

Squaring the Triangle

For Students 8th - 12th Standards
Teach budding mathematicians how to square a triangle with an interactive that shows a graphical proof of the Pythagorean Theorem. Pupils alter the lengths of the legs using sliders. Using the inputted lengths, the applet displays the...
Assessment
CCSS Math Activities

Vincent’s Graphs

For Students 8th Standards
What in the world are they doing? Given two graphs, scholars interpret the graphs and connect them to a real-world situation. They must also draw a graph given information about a context.
Interactive
PHET

Area Model Decimals

For Students 5th Standards
Area works with decimals too. Pupils use the interactive to model multiplication of two decimals using an area model. They see how the decomposed components of the factors obtain partial products and then the complete product. Using area...
Performance
Radford University

The Roanoke Adventure!

For Teachers 9th - 12th Standards
Travel about town. Pupils work in pairs to find the distances between landmarks with a map. The teams determine how far to travel on the streets and the length between the landmarks with the distance formula and compare the two. Learners...
Performance
Radford University

Skate Ramp

For Teachers 9th - 12th Standards
Going up and down makes a more exciting ride. Pupils recall what they know about continuity and limits of functions. Working in groups, classmates design a skateboard ramp that meets a given set of criteria, using at least three...
Lesson Plan
Curated OER

Name Game

For Teachers 2nd - 6th
Students practice writing names using a Scrabble type activity.  In this letter writing instructional activity, students participate in a name writing game in which they must utilize other student names to spell their own on the...
Interactive
Curated OER

Coordinates

For Students 6th
In this coordinates learning exercise, 6th graders solve ten multiple choice questions by using their knowledge of coordinates on a grid. This is an interactive learning exercise.
Lesson Plan
Curated OER

Traveling aroud Our Town

For Teachers 1st - 2nd
Students are asked to describe to a partner how he or she walks to school or the bus stop. They are shown on the overhead an one-inch grid paper, and at the intersection of two lines on the grid paper, students are shown a house and...
Lesson Plan
Biology Corner

Random Sampling

For Teachers 7th - 12th Standards
Simulate a random sampling of data by tearing 20 sheets of paper into slips and place a number on 10 and a letter on 10. They place the slips in two separate containers and randomly draw a number and a letter. They record their...
Lesson Plan
Curated OER

Linear Equations

For Teachers 7th
Seventh graders explore battle plans using grids. In this linear equation lesson, 7th graders see how math is used in battle. Students create a grid on the floor using tape and plastic army men to serve as the points. Students...
Lesson Plan
Curated OER

Where in the World? :Understanding Latitude and Longitude

For Teachers 4th - 6th
Students play a grid-based game and devise clues to help classmates locate spots on the globe in order to recognize the value of using longitude and latitude for identifying locations.
Worksheet
Curated OER

Solid Rocket Boosters-II

For Students 9th - 12th
In this solid rocket boosters activity, students solve 2 problems using a grid showing a cross section of a proposed solid rocket booster. Students complete the grid and shade the rings of combustion in 15-second step intervals. They...
Lesson Plan
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Curated OER

Coordinating Coordinates

For Teachers 3rd
Third graders explore coordinate pairs and coordinate grids. They use a grid on which each letter of the alphabet is assigned a coordinate pair, 3rd graders decipher a coded message. Pupils compare coordinate pairs on a coordinate grid...
Lesson Plan
Curated OER

Coordinate Crunch

For Teachers 3rd - 4th
Young scholars identify plots on a graph while playing a game on a large coordinate grid and then on smaller grids.
Worksheet
Curated OER

Cross Out

For Students 3rd
In this number grid worksheet, 3rd graders look over a number grid, cross out the numbers in 5 directives, fill in the blank to one question and then double check their answers. Students make their own original cross out grid.
Lesson Plan
Curated OER

Line 'Em Up!

For Teachers 3rd - 5th
Students find coordinate points on a grid and create a line graph with those points. This lesson should ideally be used during a unit on various types of graphs. They make and use coordinate systems to specify locations and to describe...
Worksheet
Curated OER

The Solar Neighborhood within 17 Light Years!

For Students 9th - 11th
In this distance between stars instructional activity, students plot the distance between the sun and 11 other stars on a 2 dimensional grid using a protractor and a ruler. They determine the distances between various stars and they find...
Worksheet
Curated OER

Area by Design

For Students 4th
In this grid worksheet, 4th graders make a three-color design on a grid. Students use the color blue twice as much as red and the color green three times more often than blue. Students fill in three blanks with the area covered by each...
Worksheet
Curated OER

Picture This

For Students 2nd
In this shapes worksheet, 2nd graders look at 9 lettered pictures within a grid and copy each shape in the correct lettered box in the second grid. Students write down what they see in a complete sentence.
Lesson Plan
Curated OER

Help Mary Find Her Way Home

For Teachers 5th - 6th
Students discover the first quadrant of the coordinate plane by using coordinate points to give directions. They show a lost girl the way home using coordinate points. They add definitions to their math journals.

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