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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....
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Teach Engineering

Windy Tunnel

For Teachers 7th - 9th Standards
Lift—it is about the wing's attack. Using a virtual wind tunnel, pupils investigate wing shape and angle of attack. Learners use worksheets to record their observations and to convert verbal relationships into mathematical equations in...
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Curated OER

Task: Grain Storage

For Teachers 7th - 10th Standards
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
Lesson Plan
Curated OER

Using Vegetation, Precipitation, and Surface Temperature to Study Climate Zones

For Teachers 6th - 12th
Using NASA's Live Access Server, earth scientists compare the temperature, precipitation, and normalized difference vegetation index for four different locations. They use the data to identify the climate zone of each location using...
Lesson Plan
Shodor Education Foundation

Triangle Area

For Teachers 6th - 9th Standards
While the instructional activity 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...
Activity
Texas Instruments

Texas Instruments: Exterior Angle and Side Angle Relationships

For Teachers 9th - 10th
This activity will help students visualize the relationships that arise when some of the congruence conditions are true but one is not. The interactive nature of their constructions will permit them to explore these relationships in a...
Activity
Texas Instruments

Texas Instruments: Intersecting Lines and Vertical Angles

For Teachers 9th - 10th
In this activity, students visualize and explore the angles that are formed when two lines intersect. By measuring angles formed by intersecting lines, they enhance their understanding of vertical angles, supplementary angles, and a...
Activity
Texas Instruments

Texas Instruments: Angles and Transversals

For Teachers 9th - 10th
Students explore the relationships of angles formed when two parallel or non-parallel lines are cut by a transversal. This activity investigates the terms: Transversal, corresponding angles, alternate interior angles, alternate exterior...
Activity
Texas Instruments

Texas Instruments: Angles of a Triangle

For Teachers 9th - 10th
In this activity, students will measure angles and investigate the relationships between interior and exterior angles of a triangle. They understand the definition of interior angles, exterior angles, adjacent angles, supplementary...
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Varsity Tutors

Varsity Tutors: Hotmath: Graphing Calculator Practice Problems: Point, Line, Planes, Angles

For Students 9th - 10th Standards
Practice using your graphing calculator for drawing and labeling points, lines, planes, and angles. If you get stumped or if you would like to check your work, then select the View Solution button, which is located directly under each...
Activity
Texas Instruments

Texas Instruments: Going in Circles Inscribed Angles

For Teachers 9th - 10th Standards
This lesson has students discover properties of inscribed angles in a circle. Students use the Geometer's Sketchpad application for the TI-89 to construct a circle and an inscribed angle.
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Texas Instruments

Texas Instruments: Angles Formed by Parallel Lines and a Transversal

For Teachers 9th - 10th Standards
Students explore relationships in various angles formed by 2 parallel lines and a transversal.
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Texas Instruments

Texas Instruments: Parallel Lines, Transversals and Angles

For Teachers 6th - 8th Standards
This activity allows students to: 1. Identify the pairs of angles formed when a transversal intersects two lines.: 2. Measure angles Using Cabri Jr. 3. Identify relationships between pairs of angles when a transversal intersects parallel...
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Texas Instruments

Texas Instruments: Copying an Angle

For Teachers 9th - 10th Standards
Explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them.
Activity
TeachEngineering

Teach Engineering: Trigonometry via Mobile Device

For Teachers 9th - 10th
Students investigate the relationships between angles and side lengths in right triangles with the help of materials found in the classroom and a mobile device.
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Texas Instruments

Texas Instruments: Parallel Lines Cut by a Transversal With Cabri Jr.

For Teachers 9th - 10th
Using Cabri Jr, the students (with the teachers help) will create parallel lines cut by a transversal, measure angles, and compare the relationships of the angles formed using features of the Cabri Jr.
Activity
Texas Instruments

Texas Instruments: Math Today When a Ruler Isn't Enough

For Teachers 9th - 10th Standards
This activity illustrates a real-life problem that uses trigonometry to solve for an unknown. students can use trigonometric ratios and inverse trigonometric relationships to determine the side of a triangle and the measure of the...
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Razones Trigonometricas De Algunos Angulos

For Students 10th - 12th Standards
In Spanish. Observe the relationships between the trigonometric functions then test your knowledge with the activities at the end.
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Texas Instruments

Texas Instruments: Math Today Ballooning Inside the Box

For Teachers 9th - 10th Standards
In this activity Using the USATODAY infograph, "Ballooning inside the box", students will explore geometric relationships using similar triangles. Identifying triangles with two pairs of congruent angles to explore similarity properties...
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National Council of Teachers of Mathematics

Nctm: Figure This: Nctm Math Challenge Three Squares (Pdf)

For Students 3rd - 8th Standards
If you think you can handle the Pythagorean Theorem, then this is a math challenge you should try. Explore geometric relationships and measurement in this one page activity from the NCTM Math Challenges for Families series.
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University of Cambridge

University of Cambridge: Nrich: Games the Triangle Game

For Students 4th - 7th
Use this game to improve your knowledge and understanding of triangles and naming vertices. Just read and follow the instructions! [Requires Java.]
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Windshield Wipers

For Students 3rd - 8th
Test your mathematical aptitude with challenge exploring the concepts of measurement and geometry. Find the area of the windshield wipers to figure out who sees better in the rain, car drivers or truck drivers. An activity from the NCTM...
Activity
Texas Instruments

Texas Instruments: Geometric Representation of Trig Functions

For Teachers 9th - 10th Standards
Using similar triangles, a relationship is established between the six trigonometric functions of an angle and simple line segments. These relationships are then confirmed using line segment measurement capabilities of the graphing...
Activity
Texas Instruments

Texas Instruments: Math Today Dangerous Births

For Teachers 9th - 10th
In this activity, using the USA TODAY Snapshot "Dangerous births" students will explore the geometric relationships of triangles using perpendicular bisectors of the sides, bisectors of the angles and medians of the triangle. They will...

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