Worksheet
Mt. San Antonio Collage

Properties of a Parallelogram

For Students 9th - 12th Standards
More than just a worksheet, the resource provides a thorough guide to navigate through the land of parallelograms. Filled with definitions and theorems, the resource supports learners through problems such as proofs and finding missing...
Interactive
Scholastic

Study Jams! Area of a Parallelogram

For Students 5th - 8th Standards
Get introduced to the idea of square units and how to calculate the area of a parallelogram. The resource provides a visual lesson to measuring different types of this shape and how it relates to square units. 
Lesson Plan
EngageNY

Properties of Parallelograms

For Teachers 9th - 10th Standards
Everyone knows that opposite sides of a parallelogram are congruent, but can you prove it? Challenge pupils to use triangle congruence to prove properties of quadrilaterals. Learners complete formal two-column proofs before moving on to...
Lesson Plan
West Contra Costa Unified School District

The Parallelogram Law

For Teachers 9th - 12th Standards
Use your pupils' sense of curiosity to explore the Parallelogram Law. Here is an activity that outlines a complete lesson from beginning to end, allowing pupils to follow a conjecture through to the proof stage.
Lesson Plan
Government of Hong Kong

Areas and Volumes - 2D Shapes

For Teachers 3rd - 6th Standards
Unfortunately for young mathematicians, the world isn't made entirely of parallelograms, triangles, and trapezoids. After first learning the area formulas for these common shapes, students apply this new knowledge to...
Activity
1
1
Illustrative Mathematics

A Midpoint Miracle

For Teachers 9th - 12th Standards
Young geometers develop one of the fundamental properties of quadrilaterals (connecting side midpoints gives a parallelogram) in this short but thought-provoking exercise. Using a combination of hands-on techniques and abstract algebraic...
Lesson Plan
Willow Tree

Area of Common Geometric Figures

For Students 8th - 11th Standards
Scholars can use area formulas, but can they apply what they know about area? The lesson challenges learners to think logically while practicing finding area of shapes such as rectangles, circles, parallelograms, triangles, and other...
Lesson Plan
EngageNY

Directed Line Segments and Vectors

For Teachers 11th - 12th Standards
Investigate the components of vectors and vector addition through geometric representations. Pupils learn the parallelogram rule for adding vectors and demonstrate their understanding graphically. They utilize the correct notation and...
Worksheet
Doing Maths

Area of Various Shapes

For Students 3rd - 6th Standards
Find the area of triangles, rectangles, and parallelograms using this metric learning exercise.
Lesson Plan
Illustrative Mathematics

Lines of Symmetry for Quadrilaterals

For Teachers 3rd - 5th Standards
Explore how lines of symmetry help define different categories of quadrilaterals. Looking at a square, rectangle, trapezoid, and parallelogram, young mathematicians discover that each shape has its own, unique symmetry. Encourage your...
Worksheet
1
1
Jesuit High School

Geometry Sample Problems

For Students 8th - 11th Standards
I'd like to prove that this worksheet has a lot to offer. Seven problems using triangles and parallelograms practice the traditional method of a two-column proof. After the worksheet is some practice problems that show worked out...
Interactive
Shodor Education Foundation

Transmographer

For Students 8th - 12th Standards
Introducing ... the Transmographer. Young mathematicians investigate translations, reflections, and rotations. The applet lets users perform transformations on triangles, squares, and parallelograms.
Lesson Plan
EngageNY

Coordinates of Points in Space

For Teachers 11th - 12th Standards
Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation...
Lesson Plan
Virginia Department of Education

Exploring Quadrilaterals

For Teachers 6th
Sort this resource into the Use pile. Scholars investigate attributes of quadrilaterals and then use the results to sort and classify the shapes labeling each figure with their properties to justify the classifications.
Unit Plan
Arizona Department of Education

Area and Perimeter of Regular and Irregular Polygons

For Teachers 3rd - 6th Standards
Extend young mathematicians' understanding of area with a geometry lesson on trapezoids. Building on their prior knowledge of rectangles and triangles, students learn how to calculate the area of trapezoids and other...
Learning
School Mathematics Project

Resource Sheets

For Students 4th - 8th Standards
This extensive and far-reaching collection of worksheets puts a new twist on many basic concepts. Learners use multiplication to trace a path from one point to another, tile a plane by converting between improper and proper fractions,...
Unit Plan
1
1
Virginia Department of Education

Exploring 3-D Geometry

For Teachers 6th - 8th Standards
Take young mathematicians on an exploration of the world of 3-D geometry with this seven-lesson unit. After first defining the terms perimeter, area, and volume and how they apply to the real world, students continue on...
Unit Plan
1
1
EngageNY

Congruence, Proof, and Constructions

For Teachers 8th - 10th Standards
This amazingly extensive unit covers a wealth of geometric ground, ranging from constructions to angle properties, triangle theorems, rigid transformations, and fundamentals of formal proofs.  Each of the almost-forty lessons...
Interactive2:10
Scholastic

Study Jams! Classify Quadrilaterals

For Students 3rd - 6th Standards
Face the vertex of two-dimensional shapes and discover what each figure requires as part of its classification. With one shape per slide, learners see what makes each shape special and compare it to others with similar qualities. 
Lesson Plan
EngageNY

How Do Dilations Map Segments?

For Students 9th - 10th Standards
Do you view proofs as an essential geometric skill? The resource builds on an understanding of dilations by proving the Dilation Theorem of Segments. Pupils learn to question and verify rather than make assumptions. 
Unit Plan
Mathematics Vision Project

Geometric Figures

For Teachers 10th - 12th Standards
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
Lesson Plan
EngageNY

Review of the Assumptions (part 2)

For Students 9th - 10th Standards
Is the amount of information getting overwhelming for your geometry classes? Use this strategy as a way to organize information. The resource provides a handout of information studied in relation to triangle congruence. It includes a...
Lesson Plan
1
1
Illustrative Mathematics

Right Triangles Inscribed in Circles II

For Teachers 9th - 10th Standards
So many times the characteristics of triangles are presented as a vocabulary-type of instructional activity, but in this activity they are key to unraveling a proof. A unique attack on proving that an inscribed angle that subtends a...
Lesson Plan
EngageNY

Perimeter and Area of Polygonal Regions Defined by Systems of Inequalities

For Students 9th - 12th Standards
When algebra and geometry get together, good things happen! Given a system of inequalities that create a quadrilateral, learners graph and find vertices. They then use the vertices and Green's Theorem to find the area and perimeter of...

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