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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
Illustrative Mathematics

Find the Missing Angle

For Teachers 7th - 9th Standards
This one activity requires young geometers to pull together information they are currently learning with things they have learned previously. Here they rely on understanding something about parallel lines, alternative interior angles,...
Lesson Plan
Illustrative Mathematics

Joining Two Midpoints of Sides of a Triangle

For Teachers 9th - 11th Standards
Without ever using the actual term, this exercise has the learner develop the key properties of the midsegment of a triangle. This task leads the class to discover a proof of similar triangles using the properties of parallel...
Lesson Plan
Curated OER

Triangle's Interior Angles

For Teachers 7th - 9th Standards
Given a pair of parallel lines and a triangle in between, geometers prove that the sum of the interior angles is 180 degrees. This quick quest can be used as a pop quiz or exit ticket for your geometry class.
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
2
2
Illustrative Mathematics

Tilt of Earth's Axis and the Four Seasons

For Teachers 9th - 11th Standards
Geometry meets earth science as high schoolers investigate the cause and features of the four seasons. The effects of Earth's axis tilt features prominently, along with both the rotation of the earth about the axis and its orbit...
Lesson Plan
Illustrative Mathematics

What is a Trapezoid? (Part 1)

For Teachers 3rd - 5th Standards
Challenge your class to construct a definition for trapezoids. Looking at four examples and four non-examples, students individually create definitions and use them to classify an unknown shape. Allow for small group and whole-class...
Lesson Plan
1
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,...
Activity
Curated OER

Life in a Geometrical Town

For Teachers 5th - 6th
In this geometry worksheet, students create a map that uses various geometrical concepts. The final project is the creation of a "geometrical town." Rubric for grading is included.
Lesson Plan
Curated OER

Tennis Balls in a Can

For Teachers 9th - 10th Standards
Make your classroom interesting by teaching or assessing through tasks. Deepen the understanding of Geometry and motivate young mathematicians. The task uses investigation with tennis balls and their container to prompt learners to...
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Curated OER

Reflecting Reflections

For Teachers 7th - 9th Standards
A triangle rests in quadrant two, from which your class members must draw reflections, both over x=2 and x=-2. This focused exercise strengthens learners' skills when it comes to reflection on the coordinate plane.
Activity
Education Development Center

Proof with Parallelogram Vertices

For Teachers 8th - 10th Standards
Geometric figures are perfect to use for proofs. Scholars prove conjectures about whether given points lie on a triangle and about midpoints. They use a provided dialogue among fictional students to frame their responses.
Activity
5280 Math

Triangle Area Patterns

For Teachers 8th - 10th Standards
Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that...
Activity
Houston Area Calculus Teachers

Area and Volume

For Students 11th - Higher Ed
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created...
Activity
Oswego City School District

Regents Exam Prep Center: Parallel Lines

For Students 9th - 10th Standards
Material to supplement classroom instruction on parallel lines: a lesson on angles with parallel lines, a practice quiz, and a link to an investigation on angles with parallel and non-parallel lines.
Activity
Analyze Math

Analyze Math: Parallel Lines and Angles Problems

For Students 9th - 10th
Try these three problems about finding the measures of different angles that arise from diagrams involving parallel lines and transversals. Detailed solutions are written out for these three problems of moderate difficulty.
Activity
Oswego City School District

Regents Exam Prep Center: Locus Equidistant From Two Parallel Lines

For Students 9th - 10th
Use this site to learn about the fourth locus theorem regarding parallel lines. Click on the "Topic Index" link to find related practice activities and resources.
Activity
CK-12 Foundation

Ck 12: Parallel Lines and Transversals

For Students 9th - 10th
[Free Registration/Login Required] Students will answer real world problems by determing where to add the additional beam using parallel lines and transversals. Click learn more to watch a video and click challenge me to answer a...
Activity
Texas Instruments

Texas Instruments: Geometry: Parallel and Perpendicular Slopes

For Teachers 9th - 10th Standards
This activity will help students understand the relationship between the slopes of parallel and perpendicular lines.
Activity
Texas Instruments

Texas Instruments: Mc Dougal Littell Geometry: Investigate Slopes

For Teachers 9th - 10th
Students can use the TI-84 Plus family with Cabri Jr. to investigate properties of parallel lines.
Activity
Texas Instruments

Texas Instruments: Parallel Lines

For Teachers 9th - 10th
This file contains questions related to parallel lines cut by a transversal and the angles formed. The questions can be used to asses your students' understanding of this topic in geometry.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Geometry in the Plane

For Students 9th - 10th
Twenty-four problems presented on a variety of Plane Geometry topics. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to check...
Activity
Texas Instruments

Texas Instruments: Parallel or Perpendicular What's Your Inclination?

For Teachers 9th - 10th Standards
This activity has students discover the relationship between parallel and perpendicular lines and their slopes. After constructing these objects using CABRI Geometry II for the TI-89, slopes are measured. [Requires Adobe Reader.]
Activity
Texas Instruments

Texas Instruments: Cabri Geometry Tour

For Teachers 9th - 10th Standards
In this activity, students use the Cabri software to mark points, draw lines, construct parallel and perpendicular lines, angles, bisectors, and triangles. They learn how to use the tool to measure angles.

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