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Illustrative Mathematics

The Geometry of Letters

For Teachers 3rd - 5th Standards
Use the alphabet as a tool for teaching your class about geometric figures. Break apart capital letters into line segments and arcs. Classify angles as right, acute, or obtuse. Identify parallel and perpendicular lines. An excellent...
Activity
Florida Center for Reading Research

Sound Spin

For Teachers K - 1st
Here is a phoneme segmenting game which incorporates drawing for your more artistic learners. Assemble the spinner using a brad and lay out the picture cards face up. Partners take turns spinning to get either two, three, four, or five....
Lesson Plan
2
2
Illustrative Mathematics

Shortest Line Segment from a Point P to a Line L

For Teachers 9th - 11th Standards
One of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the...
Lesson Plan
Curated OER

Point Reflection

For Teachers 7th - 9th Standards
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. 
Lesson Plan
Curated OER

Tangent Lines and the Radius of a Circle

For Teachers 9th - 12th Standards
Your Geometry learners will collaboratively prove that the tangent line of a circle is perpendicular to the radius of the circle. A deliberately sparse introduction allows for a variety of approaches to find a solution. 
Activity
Illustrative Mathematics

Points equidistant from two points in the plane

For Teachers 9th - 12th Standards
Young geometers apply their deductive reasoning skills and knowledge of proving triangles congruent in a task that asks them to prove if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints...
Activity
Illustrative Mathematics

Tangent to a Circle From a Point

For Teachers 9th - 10th Standards
Learners see application of construction techniques in a short but sophisticated problem. Combining the properties of inscribed triangles with tangent lines and radii makes a nice bridge between units, a way of using...
Lesson Plan
Illustrative Mathematics

Two Wheels and a Belt

For Teachers 9th - 10th Standards
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Lesson Plan
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Illustrative Mathematics

Placing a Fire Hydrant

For Teachers 9th - 10th Standards
Triangle centers and the segments that create them easily become an exercise in memorization, without the help of engaging applications like this instructional activity. Here the class investigates the measure of center that is...
Activity
Illustrative Mathematics

Dilating a Line

For Teachers 9th - 12th Standards
High School geometers verify through experimentation certain properties about dilations. This multi-step problem challenges them to construct examples of dilations to verify specific facts, the final step provides an opportunity to more...
Lesson Plan
National Council of Teachers of Mathematics

Stitching Quilts into Coordinate Geometry

For Students 8th - 11th Standards
Who knew quilting would be so mathematical? Introduce linear equations and graphing while working with the lines of pre-designed quilts. Use the parts of the design to calculate the slope of the linear segments. The project...
Activity
1
1
Curated OER

Complex Distance

For Teachers 10th - 12th Standards
Have learners graph complex numbers to gain a visual and mathematical understanding of the distance and the midpoint between two complex numbers. This lesson is short, but to the point, and addresses an important complex number...
Lesson Plan
Curated OER

Circumcenter of a Triangle

For Teachers 9th - 12th Standards
Your geometry learners will discover and show the construction of the circumcenter of a triangle. Guided by the steps in the activity, they construct perpendicular bisectors of each side that have a point of concurrency called the...
Lesson Plan
Illustrative Mathematics

Robot Races

For Teachers 6th - 8th Standards
Analyze data on a graph to answer three questions after a robot race. Learners practice comparing ratios and reading points on a graph. Answers may vary on the last question based on accuracy of graphing. Use the lesson along with...
Activity
101 Questions

Best Reflection

For Students 9th - 12th Standards
Which is the best reflection of them all? Given four diagrams, pupils determine which one shows the most accurate reflection of a quadrilateral. Two images provide the distances of each vertex from the line of reflection, as well as the...
Lesson Plan
Curated OER

Taxi!

For Teachers 9th - 12th Standards
Your young taxi drivers evaluate and articulate the reasoning behind statements in a conceptual task involving linear data. The given data table of distances traveled and the resulting fare in dollars is used by learners to explore...
Activity
American Museum of Natural History

Thinking in the Three Dimensions

For Students 6th - 12th
Discover different dimensions with paper folding. Pupils first read about zero, one, two, and three dimensions, and then learn about the fourth dimension, time. They then use origami to create models of shapes in three dimensions and use...
Lesson Plan
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1
Illustrative Mathematics

Equal Area Triangles on the Same Base II

For Teachers 9th - 12th Standards
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
Lesson Plan
Illustrative Mathematics

Fishing Adventures 1

For Teachers 5th - 7th Standards
Often inequalities exist in many real-world contexts but young math learners struggle with understanding how to represent that relationship in a simple equation using an inequality. This activity focuses on the basic concepts by using...
Lesson Plan
Curated OER

Jon and Charlie's Run

For Teachers 3rd - 5th Standards
Let's use math to solve an argument. Jon and Charlie are debating about who can run farther, but who is right? That's what your class will figure out as they apply their understanding of fractions to this real-life situation. A simple,...
Activity
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National Association for Sport & Physical Fitness

Indoor Physical Activity Ideas for Kids!

For Teachers K - 8th
Rainy day schedule doesn't mean you can't stay fit! Use a collection of indoor physical activities during periods of inclement weather, substitute teaching days, or for those afternoons when your class just wants to move around!
Activity
Government of Alberta

Learn Alberta: Slope of a Line Segment

For Students 9th - 10th
This interactive Java applet allows visualization of line segments and their slopes. The slope and how it is found is given for each line drawn by the user.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Midpoint of a Line Segment

For Students 9th - 10th
Twenty problems present a variety of problems working with various aspects of finding the midpoint of a line segment. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Graphing Calculator Practice Problems: Point, Line, Planes, Angles

For Students 9th - 10th Standards
Practice using your graphing calculator for drawing and labeling points, lines, planes, and angles. If you get stumped or if you would like to check your work, then select the View Solution button, which is located directly under each...

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