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Illustrative Mathematics

Applying the Pythagorean Theorem in a Mathematical Context

For Teachers 7th - 9th Standards
Participants who use this resource will apply the Pythagorean Theorem to show whether or not the shaded triangle inscribed in a rectangle is a right triangle. Once all of the sides on the shaded triangle are found, it is important that...
Lesson Plan
Curated OER

Symmetry of Road Signs

For Teachers 8th - 11th
Students identify symmetry in road signs. In this geometry lesson, students explore objects in the real world for symmetry. They perform translation, rotation and reflection.
Lesson Plan
Curated OER

Investigating Trigonometric Ratios Through Similar Right Triangles.

For Teachers 8th - 10th
49Students investigate the properties of right triangles. In this geometry lesson plan, students differentiate between similar and congruent triangles. They use the Pythagorean Theorem to find the missing angles and sides.
eBook
CK-12 Foundation

CK-12 Middle School Math Concepts - Grade 6

For Students 6th Standards
Twelve chapters cover a multitude of math concepts found in the Common Core standards for sixth grade. Each title provides a brief explanation of what you will find inside the chapter—concepts from which you can click on and learn more...
Worksheet
Curated OER

Three- and Two- Dimensional Geometry

For Students 7th
In this three- and two- dimensional geometry worksheet, 7th graders solve 12 various problems related to geometric shapes and measurement. They first use paper and a pencil to sketch the front, side, back, top and bottom views of each...
Lesson Plan
Improving Measurement and Geometry in Elementary Schools

Rep Tiles

For Teachers 4th - 5th Standards
In addition to the catchy title, this lesson plan provides upper graders an opportunity to more closely scrutinize the attributes of plane figures. In particular, they focus on the similarity of different shapes. Both whole-class and...
Lesson Plan
Curated OER

Design a Colonial Garden

For Teachers 3rd - 5th
Students explore botany by completing an art design activity in class. In this gardening history lesson, students identify the plants and crops utilized in the Colonial era for both food and medicine. Students utilize geometry to create...
Lesson Plan
Curated OER

Reflections and Equilateral Triangles

For Teachers 9th - 10th Standards
Your learners collaboratively find the lines of symmetry in an equilateral triangle using rigid transformations and symmetry. Through congruence proofs they show that they understand congruence in terms of rigid motions as they...
Activity
Curated OER

Unit Squares and Triangles

For Teachers 9th - 11th Standards
This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle...
Lesson Plan
Curated OER

Standard Treehouse Lesson Plan

For Teachers 7th
Seventh graders investigate the concepts related to the geometry of treehouses that focuses on angles that are similar and congruent. They conduct class discussion in terms of looking at three dimensional shapes that are represented in...
Lesson Plan
Curated OER

Math: Shapes and More Shapes

For Teachers 6th - 8th
Students locate lines of symmetry in regular polygons and predict the number of lines of symmetry in an octagon. In three different polygons, they construct all lines of symmetry and after making their prediction about the octagon,...
Lesson Plan
Curated OER

THE MEAN INDEX CARD

For Teachers 6th - 8th
Students cut an index card to create three similar right triangles and explore the congruencies and proportions that exist. They investigate the properties of lines and concepts of congruency, similarity, tangency and symmetry of...
Lesson Plan
Curated OER

Measuring Body Angles

For Teachers 8th - 10th
Young scholars use technology to graph and compare angles. In this geometry lesson, students range of motion in the environment. They identify the missing parts of polygons using similarity and congruence.
Lesson Plan
Curated OER

Dilations of 2 and 3 dimentional figures and their effect on area, surface area, and volume.

For Teachers 7th
Seventh graders investigate the area and volume of 2D and 3D figures. In this geometry lesson plan, 7th graders create a storyboard explaining their knowledge of 2D and 3D shapes. They analyze their data and interpret their...
Lesson Plan
Curated OER

Reflections

For Teachers 5th
Fifth graders create a reflection of a poygon using a Mira. They discover that a line connecting a vertiex of a polygon and the corresponding vertex of its reflection is perpendicular to the line of reflection. Students create a glide...
Lesson Plan
Curated OER

Plain Figures And Measuring Figures

For Teachers 7th
Seventh graders investigate the mathematical concept of a sector. They apply the concept to an example problem and then move into a more complex application. They find the area of the side of a cone. This is done as students calculate...
Lesson Plan
Curated OER

Can You Name That Shape?

For Teachers 2nd - 3rd
Learners use materials to build, investigate, and draw two-dimensional shapes (polygons). They combine the shapes they have built and draw from the pile to begin a round-robin activity to name and determine the attributes of a selection...
Activity
Illustrative Mathematics

Reflections and Isosceles Triangles

For Teachers 9th - 11th Standards
Geometers explore symmetries of isosceles triangles by using rigid transformations of the plane. They complete four tasks, including congruence proofs, which illustrate the relationship between congruence and rigid transformations. The...
Lesson Plan
Curated OER

Investigation-Looking at Polygons

For Teachers 8th
Eighth graders plot points and investigate polygons. They locate a point, using ordered pairs of integers on the coordinate plane. Students compare geometric measurements and computations on coordinate axes as they are applied to...
Lesson Plan
Curated OER

Using the Web to Explore Shapes

For Teachers 3rd
Third graders research the Internet to locate geometric designs in familiar buildings. They review shapes, solids, angles and symmetry as they research websites of familiar buildings in Louisville. They record the information they see...
Lesson Plan
Curated OER

Seeing Double

For Teachers 6th - 8th
Students develop an intuitive definition for symmetry after viewing a PBS video. They examine asymmetrical patterns and demonstrate their knowledge by changing them to symmytrical.
Lesson Plan
Curated OER

Plain Figures and Measuring Figures

For Teachers 10th - 12th
Students investigate basic geometric concepts. In this geometry lesson, students explore solids through measuring and modeling. This assignment models the importance of understanding concrete objects in geometry.      
Assessment
Inside Mathematics

Hopewell Geometry

For Teachers 9th - 12th Standards
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
Lesson Plan
Willow Tree

Angles Formed by Transversals of Coplanar Lines

For Students 8th - 11th Standards
Create a strong understanding of the relationships formed when parallel lines intersect a transversal. Discuss each type of angle pair and their relationship to each other. 

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