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Illustrative Mathematics

Midpoints of the Sides of a Paralellogram

For Teachers 9th - 12th Standards
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...
Lesson Plan
Curated OER

Light Bounce

For Teachers 9th - 11th
Learners solve problems involving triangles. In this geometry lesson plan, students apply properties of triangles to find the missing angles and sides. They identify angles of parallel lines cut by a transversal.
Worksheet
Curated OER

Right Triangles

For Students 10th
For this right triangles worksheet, 10th graders solve 5 problems that relate to different right triangles. First, they find the values of x and y so that each triangle is congruent to the other. Then, students write a two-column proof...
Lesson Plan
Curated OER

Geometry: Lesson 1: Points, Lines, Segments, Angles

For Teachers 4th
Fourth graders examine the concepts of, draw, and label points, lines, segments, and angles, They draw, label, and identify horizontal, vertical, intersecting, parallel, and perpendicular lines. They complete an associated worksheet that...
Worksheet
Curated OER

Equations of Lines Perpendicular and Parallel

For Students 9th - 11th
For this algebra worksheet, students solve linear equations using one and two steps. They solve systems of equations using substitution and elimination with graphing. There are links for ready made tests and quizzes.
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...
Activity
Illustrative Mathematics

Is This a Parallelogram?

For Teachers 9th - 12th Standards
If both pairs of opposite sides of a quadrilateral are congruent, is the quadrilateral a parallelogram? This task asks learners to determine the answer and to support their answer with a proof. The resource includes a commentary for...
Lesson Plan
Curated OER

Fabulous Fractals

For Teachers 5th - 8th
Young scholars view a video to discover how patterns in nature relate to math. They explore the concept of exponential growth by observing and creating fractals. They solve and design word problems.
Lesson Plan
Curated OER

Angles, Parallel Lines, and Polygons

For Teachers 5th - 6th
Students examine how to investigate polygons using an instrument of their own construction. They should be able to prove the general formula for the number of degrees in any polygon (including a triangle). Finally they investigate an...
Worksheet
Curated OER

Similarity

For Students 10th
For this similarity worksheet, 10th graders solve and complete 14 different types of problems. First, they refer to each drawn figure given that the lines are parallel. Then, students find the length of each segment listed. In addition,...
Worksheet
Curated OER

Geometry Worksheet #13

For Students 10th
For this geometry worksheet #13 worksheet, 10th graders work in groups to solve 6 geometry problems, involving measurement of angles.
Worksheet
Curated OER

Downtown Landmarks: geometry on Firstside

For Students 5th - 10th
In this geometry worksheet, students look at a picture of downtown landmarks and identify different shapes, lines, and more. Students identify 18 items.
Lesson Plan
Curated OER

Folding to Make Shapes

For Teachers 2nd
Second graders identify different polygons and their attributes. In this geometry lesson, 2nd graders get to know polygons by studying the vocabulary and finding polygons in their classroom. They create these shapes and then find their...
Lesson Plan
Curated OER

Equations of Lines

For Teachers 10th - 11th
Young scholars define slope, and practice finding the slope of lines through given points. They determine the angle of inclination. Students find the relationship between the slope and the tangent of the lines. Young scholars determine...
Worksheet
Curated OER

Geometry

For Students 7th - 8th
In this line and angles instructional activity, students explore basic geometry vocabulary.  They classify polygons.  Students determine the area and perimeter of given shapes.  They examine the parts of a circle,...
Worksheet
Curated OER

The Quadrilateral Family

For Students 10th
For this quadrilaterals worksheet, 10th graders solve and complete 10 different problems that include identifying various quadrilaterals. First, they indicate whether the statements are true or false for each. Then, students determine...
Worksheet
Curated OER

Classifying Triangles

For Students 10th
In this classifying triangles worksheet, 10th graders solve 9 various problems that classify triangles into categories. First, they refer to the figure shown of an isosceles triangle with two line parallel. Then, students name the sides,...
Worksheet
Curated OER

Sixth Grade Mathematics Test

For Students 6th
In this math worksheet, 6th graders complete multiple choice questions about number sentences, composite numbers, angles, and more. Students complete 30 questions.
Worksheet
Curated OER

Special Segments in Triangles

For Students 10th
In this special segments in triangles worksheet, 10th graders solve 6 various types of problems related to determining types of segments found in triangles. First, they find a segment if the line parallel is a median or an altitude....
Lesson Plan
Curated OER

The Tipping Point

For Teachers 9th - 11th
Students rewrite word problems and solve using math. In this word problem lesson plan, students gather data and observe the data. They relate this process to the scientific method and math. They review their data to be able to answer...
Lesson Plan
Curated OER

Properties of Special Quadrilaterals

For Teachers 9th - 12th Standards
Teach your mathematicians how to identify the properties of quadrilaterals. In this geometry lesson, high schoolers solve for missing angles and sides of a special quadrilateral. They use the TI to move the sides around and create...
Worksheet
Curated OER

Logical Relationship of Postulates & Theorems

For Students 10th - 12th
In this postulates and theorems activity, students explore a concept map containing information about angles and sides, alternate interior angles, and diagonals of a parallelogram.  They use the concept map to prove theorems dealing...
Lesson Plan
Curated OER

Flip's Flag

For Teachers 5th
Fifth graders apply the symmetry and angle properties of polygons and use fractions to express the relationships between the areas of rectangles, squares, and triangles. They analyze various country flags and develop mathematical...
Lesson Plan
Curated OER

Midsegments of a Triangle

For Teachers 9th - 12th Standards
High schoolers analyze midsegments of triangles in this instructional activity. They use Cabri Jr. software to observe the relationships between interior angles and midsegments of triangles. Specific instructions for creating this...