Lesson Plan
EngageNY

Unknown Angles

For Students 9th - 10th Standards
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include...
Lesson Plan
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Teach Engineering

A New Angle on PV Efficiency

For Teachers 9th - 12th
Let me get an angle on this! Investigate the orientation of a photovoltaic panel and its effect on efficiency. By using a light source, learners collect and plot current output to determine the ultimate orientation. The resource includes...
Lesson Plan
EngageNY

Unknown Angle Proofs—Writing Proofs

For Teachers 9th - 10th Standards
What do Sherlock Holmes and geometry have in common? Why, it is a matter of deductive reasoning as the class learns how to justify each step of a problem. Pupils then present a known fact to ensure that their decision is correct.
Interactive
CK-12 Foundation

Location and Direction: Angle from the Equator

For Students 9th - 12th
From any angle, this interactive is helpful. Earth science super stars explore a location's angle from the equator through a hands-on activity. Questions guide learners as they test their knowledge of direction and geometry used in...
Interactive
CK-12 Foundation

Bisectors of Line Segments and Angles: Cut an Angle

For Students 6th - 10th
Explore constructions through an interactive online lesson. Given an example of an angle bisector construction, learners investigate the markings to determine the method used. Challenge questions help solidify the steps. 
Interactive
CK-12 Foundation

Linear Pairs: Angles and Lines in a Perspective Drawing

For Students 7th - 12th Standards
Gain some perspective on linear pairs. Aspiring mathematicians adjust the vanishing point on a perspective drawing. They see the effect on linear pairs of angles and answer five challenge questions based on their observations.
Interactive
CK-12 Foundation

Pythagorean Theorem to Classify Triangles: Missing Angles

For Students 8th - 12th Standards
Learn to use the Pythagorean Theorem with non-right triangles. Pupils use the interactive to discover the relationship between the lengths of sides for acute and obtuse triangles. They compare the squares of the sides of the triangles to...
Assessment
Concord Consortium

Sharp-Ness of Bends

For Students 9th - 12th Standards
Define the sharpest in the group. Given a section of a trail map, pupils determine a method to measure the sharpness of each turn in the path. Individuals then determine what modifications to their formulas to make to find the sharpness...
Interactive
CK-12 Foundation

Conversion between Degrees and Radians: Clock Angles and Measures

For Students 10th - 12th Standards
It's 3:30, what radian is it? Pupils create clock angles on a clock and determine the radian measure to the minute hand. They then use a conversion factor to convert from one measurement to another.
Assessment
Bowland

Three of a Kind

For Teachers 6th - 9th
One is chance, two is a coincidence, three's a pattern. Scholars must determine similarities and differences of a regular hexagon undergoing dilation. They look at lengths, angles, areas, and symmetry.
Interactive
CK-12 Foundation

Length of an Arc: Pi Hour

For Students 9th - 12th Standards
What time is it when the arc length is pi? An interactive displays the measure of the angle created between the hour and minute hand of a clock. Pupils can set the clock to different hours and calculate the arc length based upon the radius.
Lesson Plan
EngageNY

Segments That Meet at Right Angles

For Teachers 9th - 12th Standards
Can segments be considered perpendicular if they don't intersect? Learners look at nonintersecting segments on the coordinate plane and make conclusions about the lines that contain those segments. They determine if they are...
Interactive
CK-12 Foundation

Horse and Cart

For Students 6th - 12th Standards
Can a horse pull more than its weight? A simple simulation answers this question and more. Pupils adjust the mass in a cart, the mass of the horse, the acceleration of the horse, and the angle of the tension rope between the horse and...
Worksheet
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Curated OER

Gotham Equinox

For Students 10th - 11th
By looking at the direction of the parallel streets of New York and figuring which days the setting sun is directly visible along those lines, your class can calculate the degree and angle of the sun. A really nice lesson, giving a...
Activity
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Baylor College

Global Atmospheric Change: The Math Link

For Teachers K - 5th Standards
Change up the classroom atmosphere with this interdisciplinary resource. Following along with the children's book Mr. Slaptail's Curious Contraption, these math worksheets provide practice with a wide range of topics including...
Interactive
Royal Society of Chemistry

Shapes of Molecules—Geometry of Central Atom

For Students 6th - 12th
How is a molecule's shape determined? Explore bond angles, lone pairs, and VSEPR theory through a logic-based activity. Chemists pull together information about the major molecular shapes, then use it to solve puzzles.
Interactive
Royal Society of Chemistry

Shapes of Molecules—Hybrid Orbitals

For Students 6th - 12th
Take your chemistry class' knowledge of molecular geometry to the next level! Introduce orbital hybridization with a series of related games. Individuals complete a data table in the first activity, then solve Sudoku-like puzzles using...
Lesson Plan
EngageNY

Applying the Laws of Sines and Cosines

For Students 9th - 10th Standards
Breaking the law in math doesn't get you jail time, but it does get you a wrong answer! After developing the Law of Sines and Cosines in lesson 33 of 36, the resource asks learners to apply the laws to different situations. Pupils must...
Lesson Plan
Virginia Department of Education

Properties of Quadrilaterals

For Teachers 9th - 11th Standards
What type of quadrilateral is that? Discover the difference between the types of quadrilaterals. Small groups investigate types of quadrilaterals using geometry software to find their properties. To keep track of the different...
Lesson Plan
Shodor Education Foundation

Triangle Area

For Teachers 6th - 9th Standards
While the lesson plan focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in in half; can...
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...
Lesson Plan
EngageNY

Fundamental Theorem of Similarity (FTS)

For Teachers 8th Standards
How do dilated line segments relate? Lead the class in an activity to determine the relationship between line segments and their dilated images. In the fourth section in a unit of 16, pupils discover the dilated line...
Lesson Plan
EngageNY

Putting the Law of Cosines and the Law of Sines to Use

For Teachers 11th - 12th Standards
Use the Law of Cosines and the Law of Sines to solve problems using the sums of vectors. Pupils work on several different types of real-world problems that can be modeled using triangles with three known measurements. In the process,...
Worksheet
Curated OER

Angle of Sunlight Lab

For Students 7th - 9th
In this sunlight worksheet, students use a flashlight to simulate the angles sun shines. They shine the light on a graph at various angles and trace the lighted areas. They answer questions about the differences in the angles of light...

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