Lesson Plan
EngageNY

Construct an Equilateral Triangle (part 2)

For Teachers 9th - 10th Standards
Triangles, triangles, and more triangles! In this second installment of a 36-part series, your young mathematicians explore two increasingly challenging constructions, requiring them to develop a way to construct three triangles that...
Lesson Plan
EngageNY

Law of Sines

For Teachers 11th - 12th Standards
Prove the Law of Sines two ways. The ninth segment in a series of 16 introduces the Law of Sines to help the class find lengths of sides in oblique triangles. Pupils develop a proof of the Law of Sines by drawing an altitude and a second...
Lesson Plan
Curated OER

Preparation and Transition to Two-Column Proofs

For Teachers 10th - 11th
Students investigate proofs used to solve geometric problems. For this geometry lesson, students read about the history behind early geometry and learn how to write proofs correctly using two columns. The define terminology valuable to...
Lesson Plan
Shodor Education Foundation

Cross Sections

For Teachers 7th - 12th Standards
Use this activity on cross-sections of three-dimensional shapes in your math class to work on algebra or geometry Common Core standards. The lesson includes a list of relevent terminology, and a step-by-step process to illustrate the...
Lesson Plan
EngageNY

Arcs and Chords

For Teachers 9th - 10th Standards
You've investigated relationships between chords, radii, and diameters—now it's time for arcs. Learners investigate relationships between arcs and chords. Learners then prove that congruent chords have congruent arcs, congruent arcs have...
Worksheet
Curated OER

Identify the Shape

For Students 9th - 10th
10 this geometry instructional activity, students identify the different angles created by polygons and name the shape created based on the number of sides. There is an answer key.
Lesson Plan
Curated OER

Why Doesn't SSA Work?

For Teachers 10th - 11th
Students investigate the relationship between angles and their sides. In this geometry lesson, students prove why SSA does not work as a true angle side relationship theorem.
Lesson Plan
Curated OER

Investigating AAS

For Teachers 9th - 10th
Students investigate the theorems of ASA, AAS, AAA and ASA. In this geometry lesson plan, students discuss the theorems of triangles and how it is used to solve for missing sides or angles. They review how two angles are formed by two...
Activity
Maths Challenge

Maths challenge.net: Semi Circle Lunes

For Students 9th - 10th Standards
A lune of a circle is defined and a problem of finding the area of two lunes is given.
Handout
Maths Challenge

Maths challenge.net: Three Circles

For Students 9th - 10th Standards
This is a proof problem, considered a "three star" geometry problem requiring knowledge of proofs and properties of circles.
Activity
Maths Challenge

Maths challenge.net: Rectangular Circles

For Students 9th - 10th Standards
An area problem involving finding the area of a rectangle and a circle. The problem may be made into a general proof as well.
Activity
Maths Challenge

Maths challenge.net: Circular Pipes

For Students 9th - 10th Standards
A realistic world problem using the knowledge of chords and the parts of a circle to solve. Test your knowledge on this brain teaser!
Activity
Maths Challenge

Maths challenge.net: Corner Circle

For Students 9th - 10th Standards
This is a "three star" geometry problem where prior knowledge of circles and triangles is recommended to solve this circle in the corner problem.
Activity
Maths Challenge

Maths challenge.net: Unique Circle Equal Angles

For Students 9th - 10th Standards
A "three star geometry problem" - requiring the knowledge of biconditional statements and how to prove such problems.
Activity
Maths Challenge

Maths challenge.net: Inscribed Rectangle

For Students 9th - 10th Standards
This is a proof problem, considered a "three star" geometry problem requiring knowledge of proofs and properties of circles to solve this equal area of inscribed polygons problem.
Activity
Maths Challenge

Maths challenge.net: Annulus

For Students 9th - 10th Standards
An annulus of a circle is defined and then a proof like problem is posed involving area and radius of circles.
Activity
Maths Challenge

Maths challenge.net: Isosceles Trapezium

For Students 9th - 10th Standards
This is a "three star" geometry problem where prior knowledge of problem solving and thinking through proofs is recommended to solve this trapezoid inscribed in a semicircle problem.
Activity
Maths Challenge

Maths challenge.net: Lunes

For Students 9th - 10th Standards
A "three star" geometry problem where some experience of math problem solving skills and knowledge of circles is recommended to solve this lunes (parts of a circles) area problem
Activity
Science Buddies

Science Buddies: Throwing You Some Curves: Is Red or Blue Longer?

For Students 6th - 8th
This a straightforward, but interesting, project in geometry. It is a good first proof to try on your own. You should be able to figure it out by yourself, and you'll gain insight into a basic property of circles.
Website
Other

Antonio Gutierrez: Geometry From the Land of the Incas

For Students 9th - 10th
Discovering the properties of constructions, seeing proofs in action, and viewing problems come to life here with this wonderful use of technology in the classroom. Single steps are explained and illustrated one at a time so that the...
Lesson Plan
Science Buddies

Science Buddies: Inscribing a Circle in a Triangle Using the Geometry Applet

For Teachers 9th - 10th
Here is a project that combines Computer Science and Mathematics. Prove a method for inscribing a circle within a triangle (as shown). You'll also learn how to create an interactive diagram to illustrate your proof, using an applet that...
Lesson Plan
Science Buddies

Science Buddies: Circumscribing a Circle About a Triangle

For Teachers 9th - 10th
Here is a project that combines Computer Science and Mathematics. Prove a method for circumscribing a circle about a triangle (as shown). You'll also learn how to create an interactive diagram to illustrate your proof, using an applet...
Lesson Plan
Science Buddies

Science Buddies: Tangent Circles and Triangles

For Teachers 9th - 10th Standards
Here is a project that combines Computer Science and Mathematics. The two circles are tangent to one another at point A. Their diameters are parallel. Prove that points A, D and F are co-linear. You'll also learn how to create an...
Lesson Plan
Science Buddies

Science Buddies: Circles, Tangent Lines and Triangles

For Teachers 9th - 10th Standards
Here is a project that combines Computer Science and Mathematics. The semicircle has two tangent lines that meet at point T. You need to prove that a line drawn from A to T bisects CD. You'll also learn how to create an interactive...