EngageNY
The Volume Formula of a Pyramid and Cone
Our teacher told us the formula had one-third, but why? Using manipulatives, classmates try to explain the volume formula for a pyramid. After constructing a cube with six congruent pyramids, pupils use scaling principles from previous...
Education Institute
Four Mathematics Lessons for Grade 9
These four lesson plans build algebra skills for working with numbers in exponential form and for examining triangles. Be aware that in the text, scientific notation is referred to as index notation and the laws of exponents as the laws...
Curated OER
Geo Jammin' By Design - Day 7, Lesson 38: Kool Cups
Create geometric cups by interpreting directions, informational text, and mathematical concepts. Critical thinkers apply geometric theory (congruent shapes, patterns, symmetry) to actual directions to create a cup that holds Kool Aid....
Illustrative Mathematics
Points equidistant from two points in the plane
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...
Education Development Center
Proof with Parallelogram Vertices
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.
Curated OER
Figure This
Second graders identify congruent figures and match shapes using transformation. They work in groups, utilizing a worksheet imbedded in this plan to gain practice identifying congruent shapes.
Curated OER
Ship Shape
Second graders explore shapes and create a Silly Shape book. Students recognize that shapes have certain properties and be able to define them. Example, a triangle is any three-sided shape. Students' job is to make a picture on...
Curated OER
Geo Jammin' By DeSign - Day 2, Lesson 7: Start At Square One
Students examine new shape possibilities by combining two and four triangles using manipulatives.
Curated OER
SAS Similarity Theorem
Learners identify and use the similarity theorem. In this geometry lesson, students differentiate between congruent and similar triangles. They solve problems using the computer modifying shapes by dragging.
Curated OER
Simson Line
Stuednts identify triangles for the Simson Line. In this geometry instructional activity, students solve triangular problems using the properties of triangles.They differentiate between the height, congruency and similarity.
Curated OER
Similar Polygons Multiple Choice
In this geometry worksheet, students differentiate between similarity and congruence. They find the correct answer using the theorems of similarity and congruence. There are 5 questions with an answer key.
Curated OER
Arcs and Chords Multiple Choice
In this geometry worksheet, students answer questions about triangles using the correct properties. They find missing angles and sides of triangles. There are 15 questions with an answer key.
Curated OER
Fractals
Pupils explore the concept of fractals. In this fractal lesson plan, students use applets to explore Koch's Snowflake, Sierpinski's Triangle, and other fractals. Pupils develop these concepts through exploration and teacher guided...
Curated OER
Transformations Using the Geometer's Sketchpad
Students discover rules for single transformations, rules for composition of transformations, when a figure has transformation symmetry, and if a transformation is congruent to its preimage.
Illustrative Mathematics
Midpoints of the Sides of a Paralellogram
This task asks learners to prove that the segment joining the midpoints of two sides of a parallelogram is both congruent and parallel to an adjacent side of the parallelogram. The activity would be good to use in a discussion about how...
Curated OER
Euclidean Proofs involving Triangles and Circles (Congruency Proofs)
In this geometry worksheet, 10th graders focus on Euclidean proofs involving triangles and circles. The eight page worksheet contains eight proofs. Solutions are not provided.
Curated OER
Transformations Worksheet
Use this transformations worksheet to have learners describe given transformations. They identify rotations, reflections, and congruent images. This two-page worksheet contains three multi-step problems.
BW Walch
Linear & Exponential Functions
Positioned inside the framework of linear and exponential functions, this lesson is more of an investigation into the effects of changing variables and constants inside an expression. The author takes familiar formulas, those for...
Utah Education Network (UEN)
It's All Just Similar to Me
Middle schoolers explore the concept of similar figures. In this similar figures lesson, pupils calculate scale factors of similar triangles. They find missing sides of triangles, and measure angles using protractors and measure sides of...
Improving Measurement and Geometry in Elementary Schools
The Sum of the Interior Angles of a Polygon
Junior geometers discover that polygons can be decomposed into triangles and that the number of triangles can be determined by a rule. Note that the Geometer’s Sketchpad® software is required to carry out all components of this...
Curated OER
Proportional Parts
In this geometry learning exercise, students identify what makes triangles similar and congruent. They use SSS,SAS and AA to identify the correct ratio of each triangle. There are 15 questions.
Curated OER
Shapes from Shapes
Geometric shapes are really cool. Examine triangles, quadrilaterals, trapezoids, rhombuses, parallelograms, pentagons, and hexagons with your class. They draw large shapes and small shapes then compare them to understand their shapely...
Curated OER
Cutting Corners
Second graders examine two-dimensional shapes using their characteristics. In this shapes lesson, 2nd graders identify similarities and differences by using cut out shapes, diagrams, mirrors, and graphic organizers.
Curated OER
Identify Similar Figures
Students explore the concept of similar figures. In this similar figures lesson, students develop the idea that similar figures are a different size but the same shape by comparing similar rectangles. Students use patty paper to trace...
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