Assessment
Charleston School District

Pre-Test Unit 2: Similar and Congruent

For Students 8th Standards
A pre-test contains questions about transformations that lead to congruent and similar images. It also covers angle relationships associated with triangles and parallel lines intersected by a transversal. 
Lesson Plan
EngageNY

First Consequences of FTS

For Teachers 8th Standards
Challenge the young mathematicians to find the exact coordinates of a dilated point. The fifth segment in a 16-part series introduces the class to the converse of the Fundamental Theorem of Similarity. Scholars use the theorem to...
Lesson Plan
Curated OER

Sail Problem

For Teachers 9th - 12th Standards
High schoolers explore the proportional relationships involved in multiple parallel lines being cut by a transverse line. They complete a sail design problem, that involves finding the lengths of pieces of fabric along the edge of a sail...
Unit Plan
Mathematics Vision Project

Connecting Algebra and Geometry

For Teachers 9th - 10th Standards
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates...
Worksheet
Curated OER

Proving Lines Parallel

For Students 10th
In this proving lines parallel activity, 10th graders solve 10 different types of problems that prove that various lines are parallel to each other. First, they find the value of x so that line a is parallel to line b. Then, students...
Lesson Plan
Curated OER

Worksheet 15-Fall 1995

For Teachers Higher Ed
In this math worksheet pupils use the intermediate value theorem to solve two problems. They find parallel lines that will cut a convex shape into two pieces with equal areas. Students repeat this problem with a concave shape. Pupils...
Lesson Plan
Alabama Learning Exchange

Graphing Stations

For Teachers 9th - 12th Standards
Students explore the concept of graphing stations.  In this graphing stations lesson, students head to various teacher set-up stations involving slope, point-slope, standard form, parallel lines, etc.  Students work problems at...
Lesson Plan
EngageNY

Angle Sum of a Triangle

For Students 8th Standards
Prove the Angle Sum Theorem of a triangle using parallel line and transversal angle relationships. Pupils create a triangle from parallel lines and transversals. They find angle measures to show that the angles of a triangle must total...
Lesson Plan
Texas Instruments

Mean Value Theorem

For Teachers 9th - 12th Standards
High schoolers calculate the slopes of secant lines. In this calculus instructional activity, students graph tangent and secant lines using the coordinate plane. They use the Ti calculator to graph and observe the lines.
Unit Plan
Curated OER

Transformations in the Coordinate Plane

For Teachers 9th - 12th Standards
Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...
Unit Plan
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Mathematics Vision Project

Module 7: Connecting Algebra and Geometry

For Teachers 8th - 10th Standards
The coordinate plane links key geometry and algebra concepts in this approachable but rigorous unit. The class starts by developing the distance formula from the Pythagorean Theorem, then moves to applications of slope. Activities...
Lesson Plan
Curated OER

Worksheet 7: Slope and Tangents

For Teachers 12th - Higher Ed
Providing both review and practice problems, this worksheet prompts students to answer five questions having to do with slope, tangents lines, graphing, the Squeeze Theorem, differentiable functions and derivatives. This activity could...
Unit Plan
Mathematics Vision Project

Module 6: Connecting Algebra and Geometry

For Teachers 9th - 12th Standards
A geometry module connects algebraic reasoning to geometry. It challenges scholars to investigate the slope criteria for parallel and perpendicular lines, prove theorems involving coordinate geometry, and write equations for circles and...
Unit Plan
Mathematics Vision Project

Module 3: Geometric Figures

For Teachers 9th - 12th Standards
It's just not enough to know that something is true. Part of a MVP Geometry unit teaches young mathematicians how to write flow proofs and two-column proofs for conjectures involving lines, angles, and triangles.
Lesson Plan
Illustrative Mathematics

Area of a Trapezoid

For Teachers 7th - 9th Standards
Here is a straightforward example of how to apply the Pythagorean Theorem to find an unknown side-length of a trapezoid. Commentary gives additional information on proving that the inside of the trapezoid is a rectangle, but is...
Worksheet
Curated OER

Planes and Lines

For Students 9th - 11th
For this geometry worksheet, students identify the plane that passes through a point and define the theorem that represents parallel and perpendicular lines. There is an answer key.
Assessment
Mathematics Assessment Project

Geometry

For Students 7th - 8th Standards
Help learners find joy in facing mathematical challenges. The questions posed on this worksheet encourage young mathematicians to utilize skills learned throughout a geometry unit, and to apply themselves and persevere through...
Worksheet
Curated OER

Congruent Chords, Parallel chords and Perpendicular Chords

For Students 10th - 11th
In this geometry worksheet, students solve problems about congruent, parallel, and perpendicular chords and bisectors.  There are 9 problems with an answer key.
Lesson Plan
Curated OER

SAS Similarity Theorem

For Teachers 9th - 10th
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.
Lesson Plan
EngageNY

Criterion for Perpendicularity

For Students 9th - 12th Standards
The Pythagorean Theorem is a geometry pupil's best friend! Learners explain the equation a1b1 + a2b2 = 0 for perpendicular segments using the Pythagorean Theorem. They are able to identify perpendicular segments using their...
Lesson Plan
EngageNY

Informal Proofs of Properties of Dilations

For Teachers 8th Standards
Challenge the class to prove that the dilation properties always hold. The instructional activity develops an informal proof of the properties of dilations through a discussion. Two of the proofs are verified with each class member...
Worksheet
Curated OER

Tangents, Secants, and Chords

For Students 10th
In this tangents, secants and chords worksheet, 10th graders identify and solve 48 different problems that include using 3 different theorems for defining circles. First, they determine the area of each circle with C as the center and a...
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...
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...