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Lesson Planet

#### EngageNY Geometry Module 1: Congruence, Proof, and Constructions

The 36 lessons in the Geometry Module 1 collection address transformations in teaching geometry brought on by Common Core. The focus here is on transformations and the relationships between transformations and congruence. Teacher...

EngageNY

#### Congruence, Proof, and Constructions

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 is broken...

Lesson Planet

#### Proof of the Pythagorean Theorem Using Transformations

Middle and high schoolers construct a triangle using Cabri Jr. They construct squares on each of the legs and hypotenuse of the triangle. Pupils show that the area of the squares on the leg equal the area of the square on the hypotenuse.

Lesson Planet

#### Dilations in the Plane

Tenth graders investigate dilations and explore the dilation transformation before investigating the properties of a dilation using Cabri Jr. Learners extend the concept of dilatation to the coordinate plane.

Lesson Planet

#### Hexagon Inscribed Within a Circle

Mark off the length of the radius around the circle. Using a compass, the presenter shows how to construct a regular hexagon in a circle. Pupils see how triangles formed in the hexagon are equilateral, allowing for the construction to...

Lesson Planet

#### Constructing Equilateral Triangles and 60 Degree Angles

Creating a 60-degree angle also creates an equilateral triangle. By watching the video, individuals learn the steps required to construct a 60-degree angle. The presentation shows that the process is the same for constructing an...

Lesson Planet

#### Module 2: Congruence, Construction and Proof

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...

Lesson Planet

#### Regular and Irregular Polygons: Polygon States

Colorado would probably object if Wyoming enlarged its borders. Scholars use an interactive map to change the borders of U.S. states to see how angles change. They then answer questions about regular and irregular polygons.

Lesson Planet

#### Crafty Circumference Challenge

With a little imagination, you can make these construction tools work, too. A creative lesson plan builds upon the knowledge of construction tools to come up with other tools to use. Pupils learn how to construct a regular hexagon...

Lesson Planet

#### Construction of Inscribed Regular Hexagon

Once one is created, keep duplicating it until the construction is complete. Pupils use the power of a dynamic geometry software program to construct an inscribed regular hexagon within a circle. The scholars create equilateral triangles...

Lesson Planet

#### Construction Junction

A prescription for inscribing polygons makes for an interesting lesson. Individuals follow a set of written instructions to construct both an equilateral triangle and regular hexagon inscribed in a circle. An extra handout allow learners...

Lesson Planet

#### Construct This

Circles and squares come together and share important characteristics. Using the properties of a square, scholars develop a procedure for constructing a square inscribed in a circle. Connecting square properties to angles within a circle...

Lesson Planet

#### Construct Regular Polygons Inside Circles

Construct regular polygons using a circle as a guide. Scholars learn the process of inscribing regular polygons inside a circle using the central angle method. They practice their constructions on a variety of circles.

Lesson Planet

#### Square in a Circle

This is much easier than putting a square peg in a round hole. Scholars use geometric construction methods to create an inscribed square in a circle. The preferred method for this worksheet is using a compass and straightedge.

Lesson Planet

#### Geometry: Constructions

Sometimes a compass and straightedge are the correct tools for the job. Scholars use a given line segment to make geometric constructions. These include constructing a copy of the line segment, constructing an equilateral triangle, and...

Lesson Planet

#### Construct the Center of a Circle

Meet your class in the middle using a well-rounded formative check! Geometry scholars use a compass and straight edge to construct the center of a circle. Students justify the steps they took to perform the construction through...

Lesson Planet

#### Equilateral Triangle in a Circle

I thought compasses could only draw circles! Scholars draw an equilateral triangle inscribed in a given circle. They accomplish this by using a compass and straightedge as the solution strategy.

Lesson Planet

#### Congruence, Construction and Proof

Learn about constructing figures, proofs, and transformations. The seventh unit in a course of nine makes the connections between geometric constructions, congruence, and proofs. Scholars learn to construct special quadrilaterals,...

Lesson Planet

#### Circular Reasoning

Examine the origin and application of pi in five different levels. The five lessons in the resource begin with an analysis of the relationship between the radius and circumference of a circle. The following lessons lead learners through...

Lesson Planet

#### Constructions

Pupils learn the steps for basic constructions using a straightedge, a compass, and a pencil. Pairs develop the skills to copy a segment and an angle, bisect a segment and an angle, and construct parallel and perpendicular lines.

EngageNY

#### End-of-Module Assessment Task - Geometry (module 1)

Have you hit a wall when trying to create performance task questions? Several open-ended response questions require a deep level of thinking. Topics include triangle congruence, quadrilaterals, special segments, constructions, and...

EngageNY

#### Review of the Assumptions (part 2)

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...

EngageNY

#### Construct a Perpendicular Bisector

How hard can it be to split something in half? Learners investigate how previously learned concepts from angle bisectors can be used to develop ways to construct perpendicular bisectors. The resource also covers constructing a...

EngageNY

#### Copy and Bisect an Angle

More constructions! In this third installment of a 36-part series, learners watch a YouTube video on creating door trim to see how to bisect an angle. They then investigate how to copy an angle by ordering a given list of steps.