Lesson Plan
West Contra Costa Unified School District

Law of Sines

For Teachers 10th - 12th Standards
One must obey the sine laws. A instructional activity introduces and derives the Law of Sines for non-right triangles. With examples that use the Law of Sines to determine unknown measures in triangles, the instructional...
Assessment
Inside Mathematics

Rhombuses

For Teachers 9th - 12th Standards
Just what does it take to show two rhombuses are similar? The assessment task asks pupils to develop an argument to show that given quadrilaterals are rhombuses. Class members also use their knowledge of similar triangles to show two...
Assessment
EngageNY

End-of-Module Assessment Task: Grade 7 Mathematics Module 6

For Students 7th Standards
Determine the level of understanding within your classes using a summative assessment. As the final lesson in a 29-part module, the goal is to assess the topics addressed during the unit. Concepts range from linear angle relationships,...
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
Arizona Department of Education

Area and Perimeter of Regular and Irregular Polygons

For Teachers 3rd - 6th Standards
Extend young mathematicians' understanding of area with a geometry lesson on trapezoids. Building on their prior knowledge of rectangles and triangles, students learn how to calculate the area of trapezoids and other...
Assessment
1
1
Balanced Assessment

Mirror, Mirror II

For Students 9th - 12th Standards
Apply the concept of similar triangles to design a space in a room. Scholars use similar triangles to determine how a spotlight reflects from a mirror. After drawing the path of the spotlight, individuals find the smallest possible width...
Worksheet
Mathwire

Shamrock Paths

For Students 7th - 10th Standards
What could St. Patrick's Day and Pascal's triangle possibly have in common? Trace the pattern in a holiday-themed worksheet that prompts learners to find the word shamrock as many times as they can.
Lesson Plan
Alabama Learning Exchange

Binomial Expansion—Shortcut Please

For Teachers 9th - 12th Standards
There has got to be a better way; you just have to find it! Given a general binomial to expand with increasing powers, pupils realize that there must be a better way than multiple multiplications. Classmates look for patterns and use...
Assessment
Inside Mathematics

Patterns in Prague

For Teachers 8th Standards
Designers in Prague are not diagonally challenged. The mini-assessment provides a complex pattern made from blocks. Individuals use the pattern to find the area and perimeter of the design. To find the perimeter, they use the Pythagorean...
Lesson Plan
EngageNY

Sine and Cosine of Complementary Angles and Special Angles

For Students 9th - 10th Standards
Building trigonometric basics here will last a mathematical lifetime. Learners expand on the previous lesson in a 36-part series by examining relationships between the sine and cosine of complementary angles. They also review the...
Workbook
1
1
Centre for Innovation in Mamatics Teaching

Areas and Perimeters

For Students 3rd - 6th Standards
Cover some serious area in your geometry curriculum with this collection of worksheets. After first introducing the concept of area using the tiling method, this resource continues on to teach learners how to use...
Lesson Plan
1
1
Illustrative Mathematics

Bank Shot

For Teachers 9th - 11th Standards
Young geometers become pool sharks in this analysis of the angles and lengths of a trick shot. By using angles of incidence and reflection to develop similar triangles, learners plan the exact placement of balls to make the shot....
Interactive
CK-12 Foundation

Angles of Elevation and Depression: Fly-By Calibration

For Students 9th - 12th Standards
Determine the distance between two trees from afar. Pupils use an interactive resource to create two right triangles using trees and a plane. They determine the horizontal legs of each triangle to find the distance between the two trees.
Lesson Plan
1
1
Illustrative Mathematics

Why Does SSS Work?

For Teachers 9th - 10th Standards
While it may seem incredibly obvious to the geometry student that congruent sides make congruent triangles, the proving of this by definition actually takes a bit of work. This exercise steps the class through this kind of proof by...
Interactive
CK-12 Foundation

Area Between Curves: Income and Expenses

For Students 11th - Higher Ed
Use the area of polygons to calculate the area between curves. Pupils calculate areas under income and expense curves by filling the space with squares and right triangles. Using that information, they determine the profit related to the...
Activity
Illustrative Mathematics

Find the Missing Angle

For Teachers 7th - 9th Standards
This one activity requires young geometers to pull together information they are currently learning with things they have learned previously. Here they rely on understanding something about parallel lines, alternative interior angles,...
Assessment
EngageNY

End-of-Module Assessment Task - Geometry (module 2)

For Students 9th - 10th Standards
Increase the level of assessment rigor with the test of performance tasks. Topics include similar triangles, trigonometric ratios, Law of Sines, Law of Cosines, and trigonometric problem solving. 
Assessment
1
1
Mathematics Assessment Project

College and Career Readiness Mathematics Test B1

For Students 9th - 12th
Math was easier before it got mixed up with the alphabet. A 10-page test covers material from multiple years of high school math. Scholars demonstrate knowledge across domains with a mixture of short answer and applied problems.
Assessment
CCSS Math Activities

Satellite

For Students 9th - 12th Standards
This isn't rocket science, you know. A performance task has learners use right triangle trigonometry to calculate distances from stations on Earth to a satellite. It also requires finding the distance between two stations along the...
Assessment
Concord Consortium

Circling Trains

For Students 7th - 12th Standards
And round and round the park we go! Given a description of an amusement park with the locations of three attractions connected by walkways, learners consider what happens when additional attractions join the mix by doubling the length of...
Lesson Plan
Center for History Education

The Triangle Shirtwaist Factory Fire: Is Anyone to be Punished for This?

For Teachers 9th - 12th Standards
The stories of bodies falling to the pavement and girls dying in their seats echo to the present day. The New York City Triangle Shirtwaist Factory fire—which killed 147 people, mostly young women and girls—galvanized the labor movement...
Assessment
Los Angeles County Office of Education

Assessment for the California Mathematics Standards Grade 5

For Students 5th Standards
Test young mathematicians' knowledge with an assessment aligned to California's fifth grade state standards. The exam covers a multitude of concepts including fractions and decimals, positive and negative numbers, measurement; and...
Lesson Plan
Mathematics Assessment Project

Optimizing Coverage: Security Cameras

For Teachers 6th - 7th Standards
Are you being watched? Class members determine where to place security cameras protecting a shop. They then evaluate their own and several provided solutions.
Assessment
1
1
Mathematics Assessment Project

College and Career Readiness Mathematics Test A2

For Students 9th - 12th
A six-page evaluation covers material included in algebra, geometry, and algebra II. Applied word problems are mixed in with short answer questions. It also provides questions on mathematical reasoning.

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