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Illustrative Mathematics

Hexagonal Pattern of Beehives

For Teachers 9th - 12th Standards
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
Assessment
Concord Consortium

Strings and Areas

For Students 9th - 11th Standards
You'd be surprised what you can do with a string! The constraint is the length of string, and the task is to maximize area. Given a series of composite shapes, learners must create a formula for the maximum area for a specified...
Unit Plan
Mathematics Vision Project

Module 2: Congruence, Construction and Proof

For Teachers 9th - 12th Standards
Construct yourself a winning geometry unit. A set of lessons introduces geometry scholars to constructions and proofs with compasses and straightedges. It also covers triangle congruence through transformations. This is the second of...
Instructional Video4:47
Corbett Maths

Construct a 30 Degree Angle

For Students 8th - 11th Standards
Split it down the middle. Using the tools of geometric construction, the video shows two different methods of constructing a 30-degree angle. The first method bisects an angle of an equilateral triangle. The second uses the diagonal of a...
Lesson Plan
Curated OER

Scalene Triangles

For Teachers 5th
Fifth graders identify and classify scalene, equilateral, and isosceles triangles. In this triangle lesson plan, 5th graders define the different attributes of 3 types of triangles and sort them by descriptions and...
Lesson Plan
Curated OER

Twenty-Five Measures of the Angles of a Triangle Problems

For Teachers 9th - 10th
In this triangle worksheet, learners calculate the measures of the angles or the sums of the measures of the angles in twenty-five triangle problems and hands-on activities.  The solutions are provided.
Worksheet
Curated OER

Euclidean Geometry

For Students 9th - 12th
In this Euclidean geometry worksheet, students use a straight edge and a compass to create constructions that are possible with Euclid's Postulates. This one-page worksheet contains two construction problems.
Worksheet
Curated OER

Counting Triangle

For Students 10th
In this geometry activity, 10th graders calculate how many triangles there are in a snowflake design, They name the triangles by specialty such as equilateral and hexagonal.
Lesson Plan
Curated OER

Shape Up

For Teachers 6th - 8th
Students explore differents types of triangles and quadriaterals. For this polygon lesson, students  model identify and compare two and three dimensional geometric figures. Students create tangrams and discover the difference...
Lesson Plan
Curated OER

Power Question 2

For Teachers 9th - 12th
In this math worksheet, learners determine the locus of points, M, in plane ABC, such that KMAB=KMAC. They also draw the triangle ABC. Then determine the proof of the interior angles determining the identity of the equilateral triangle.
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...
Unit Plan
Mathematics Vision Project

Module 5: Modeling with Geometry

For Students 9th - 12th Standards
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts...
Worksheet
Curated OER

Triangle Angle Sort

For Students 10th
In this triangle and angle worksheet, 10th graders identify 36 different angles and triangles illustrated on the sheet. First, they define the vocabulary to include equilateral, scalene, right, and isosceles triangle. In addition, they...
Worksheet
Curated OER

Expressions and Operations

For Teachers 9th
In this expressions and operations worksheet, 9th graders solve and complete 3 different multiple choice problems. First, they determine the value that is closest to x for the given expression. Then, students find the height of an...
Lesson Plan
Harvard University

The Nouns of Geometry

For Teachers 9th - 12th
Socratic questioning to teach Euclidean geometry? "The Nouns of Geometry," followed by "The Verbs of Geometry," and the misfit, "A Beginner's Story - The Equilateral Triangle" are designed to encourage learners to explore various...
Lesson Plan
Curated OER

Tessellation Lesson Plan

For Teachers 6th - 12th
Students produce original tessellations, using equilateral triangles where three unique symmetrical faces rotate, use shape, pattern/repetition, and color to create a striking composition, and create "beasties" inspired by bestiaries of...
Worksheet
Curated OER

Pythagorean Theorem

For Students 8th - 9th
In this Pythagorean Theorem worksheet, students determine the length of a missing side of triangles. They read story problems, draw diagrams, and use the Pythagorean Theorem to solve real life problems. This one-page worksheet contains...
Worksheet
Curated OER

Tessellations

For Students 10th
In this tessellations worksheet, 10th graders solve 6 different types of tessellation problems that includes drawing. First, they define polygon, regular polygon, tessellation, regular tessellation, and semi-regular tessellation. Then,...
Lesson Plan
Curated OER

Spatial Relations - Week 9

For Teachers 10th - 12th
In this spatial relations worksheet, students identify the number of triangles in a given figure, identify the number of cubes that a plane intersects, and determine the number of line segments in a given cube. This three-page worksheet...
Lesson Plan
Curated OER

Nets And Surface Area

For Teachers 4th - 6th
Upper graders investigate how to find the surface area when using two-dimensional shapes. They conduct an investigation in groups while working sample problems given during class discussion with the teacher. They also review how to...
Worksheet
Curated OER

Measurement: Perimeter

For Students 10th
In this perimeter worksheet, 10th graders identify and complete 9 different problems that include determining the perimeter of various figures. First, they complete the table by writing the number of sides in each figure listed on the...
Unit Plan
PBS

Accessible Shapes

For Teachers 6th - 8th Standards
All the 2-D and 3-D measurement work you need is in one location. Divided into three sections, the geometry lesson plans consist of visualization of three dimensions, classifying geometric figures, and finding surface area and volume....
Unit Plan
Virginia Department of Education

Classifying Angles

For Teachers 4th - 8th Standards
Don't be obtuse, this geometry unit is the just the right resource for educating the acute young minds in your class. From classifying and measuring angles, to determining the congruence of shapes, this...
Lesson Plan
Curated OER

Varieties of Quadrilaterals

For Teachers 4th - 7th
Students classify quadrilaterals, In this quadrilaterals lesson, students watch a video about parallelograms, discuss the different types of quadrilaterals, and complete a worksheet classifying quadrilaterals.

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