Inside Mathematics
Quadrilaterals
What figure is formed by connecting the midpoints of the sides of a quadrilateral? The geometry assessment task has class members work through the process of determining the figure inscribed in a quadrilateral. Pupils use geometric...
EngageNY
Properties of Parallelograms
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...
Radford University
Properties of Different Quadrilaterals
Properly apply the properties of parallelograms. Pupils answer a set of questions designed to review the categories of quadrilaterals. They then identify the shape in each set of quadrilaterals that does not belong and explain why.
Mt. San Antonio Collage
Properties of a Parallelogram
More than just a activity, 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...
Scholastic
Study Jams! Classify Quadrilaterals
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.
Illustrative Mathematics
A Midpoint Miracle
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...
Inside Mathematics
Rhombuses
Just what does it take to show two rhombuses are similar? The assessment task asks pupils to develop an argument to show that given quadrilaterals are rhombuses. Class members also use their knowledge of similar triangles to show two...
Corbett Maths
Coordinates and Shapes
Where is the point? Given three points on the coordinate plane, the video walks through the steps to find the location of the fourth point to create a given special quadrilateral. The narrator first determines the coordinates of the...
Illustrative Mathematics
Right Triangles Inscribed in Circles II
So many times the characteristics of triangles are presented as a vocabulary-type of lesson, but in this activity they are key to unraveling a proof. A unique attack on proving that an inscribed angle that subtends a diameter must be a...
Illustrative Mathematics
What Shape Am I?
Sharpen your pencil and grab a ruler, it's time to draw some quadrilaterals! Given the definition of a parallelogram, rectangle, and rhombus, learners draw examples and nonexamples of each figure. The three definitions are...
Mathematics Vision Project
Transformations and Symmetry
Flip, turn, and slide about the coordinate plane. Pupils define the rigid motions and experiment with them before determining the relationships of the slopes of parallel and perpendicular lines. The sixth unit in a nine-part series...
Mathematics Vision Project
Module 1: Transformations and Symmetry
No need to change anything about the resource. The first of eight modules in the MVP Geometry unit focuses on transformations in the coordinate plane. It connects translations, rotations, and reflections to congruence, symmetry, and...
Mathematics Assessment Project
Floor Pattern
You'll never look at floor tiles the same again. An assessment task prompts learners to investigate relationships between patterns involving squares and kites to determine angle measurements. They then prove...
Curated OER
Know Your Polygons!
Students identify and categorize different polygons. In this polygons lesson plan, students research and identify properties of polygons, identify different polygon shapes, and categorize different triangles and quadrilaterals.
Illustrative Mathematics
All vs. Only Some
All shapes have certain defining attributes that set them apart from others. In order to understand this, young mathematicians look at examples and non-examples of triangles, rectangles, and squares, working as a whole class to create...
Mt. San Antonio Collage
The Trapezoid
Enjoy this nicely organized worksheet that puts together multiple problems regarding trapezoid proofs. The resource can be used as a guide that begins with proving properties and ends with solving for measures of line segments.
Buffalo State
A Five Day Approach to Using Technology and Manipulatives to Explore Area and Perimeter
Young mathematicians build an understanding of area and perimeter with their own two hands in a series of interactive geometry lessons. Through the use of different math manipulatives, children investigate the properties of...
Inside Mathematics
Expressions
Strive to think outside of the quadrilateral parallelogram. Worksheet includes two problems applying prior knowledge of area and perimeter to parallelograms and trapezoids. The focus is on finding and utilizing the proper formula and...
California Education Partners
Fun on the Farm
Let imaginations run wild as participants design animal pens. A performance task challenges young mathematicians to determine the perimeter or a missing side length of different animal pens. They then design pens that meet given...
Noyce Foundation
Parallelogram
Parallelograms are pairs of triangles all the way around. Pupils measure to determine the area and perimeter of a parallelogram. They then find the area of the tirangles formed by drawing a diagonal of the parallelogram and compare their...
Curated OER
Practice: Word Problems
Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians...
iMagine Machine
The Land of Venn - Geometric Defense
Young mathematicians use their geometry skills to save the Land of Venn in an engaging math game. A fun way to reinforce children's understanding of basic geometric figures and shapes.
CK-12 Foundation
CK-12 Middle School Math Concepts - Grade 6
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...
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...