Mathematics Assessment Project
Middle School Mathematics Test 2
A 13-page test with two 40-minute sections covers multiple years of math content. It incorporates applied problems and mathematical analysis.
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Proving Pythagoras
Learners prove the theorem of Pythagoras. In this Pythagorean Theorem lesson, students define the different parts of a right triangle. They use the Pythagorean Theorem to solve for the missing sides and angles of a right triangle.
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Geometry: Lesson 10
Eighth graders investigate the Pythagorean theorem and how it is used in geometry. Measurements for different triangles is given and then students must solve problems in order to practice using the formula.
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Distance in Coordinate Geometry
Learners analyze distance and graphing. For this geometry lesson, students work problems on a coordinate grid calculating the distance. They apply the Pythagorean Theorem to their data and answer.
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Sin, Cos and Tangent
Students find the identity o sine, cosine and tangent. In this precalculus lesson plan, students solve and identify the different parts of a right triangle. They use the ratios of the Pythagorean Theorem to find the missing side or angle.
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Pythagorean Triple
Students investigate the properties of the Pythagorean Theorem. In this geometry lesson, students identify the missing angles and sides of a right triangle. They label the hypotenuse and legs of a right triangle correctly.
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Investigating the Pythagorean Triples
Students investigate the Pythagorean triples. In this geometry instructional activity, students solve for different parts of a right triangle. They identify the missing side or angle using the pythagorean theorem.
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Amazing Consistent Ratios
Students derive the six trigonometric identities. In this trigonometry lesson, students find the ratios of sine, cosine and tangent using the right triangle. They use properties of the Pythagorean Theorem to find the trig identities.
Virginia Department of Education
Special Right Triangles and Right Triangle Trigonometry
Right triangles are so special! Use special right triangles to discover the trigonometric ratios. Pairs construct special right triangles and find the values of the ratios of the sides. In the process, they discover the ratios stay the...
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Triangle Congruence
In this triangle congruence worksheet, students review 4 triangle congruence properties and 4 examples. Students are then prompted to complete 15 problems analyzing whether two triangles are congruent and determine by which property.
EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...
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Number Sense: Real Numbers
Using a scientific calculator and an 11-page guide sheet, middle schoolers investigate real numbers and problem-solving properties. The publisher links this resource to Common Core standard for seventh grade math, but you may find it a...
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Vectors
Represent motion with arrows and call them vectors! The lesson is a presentation that models the mathematics involved when determining a resultant vector. It addrssses motions that are parallel, perpendicular, and a combination of both.
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Volume and Surface Area
Students explore volume and surface area. In this math instructional activity, students fill boxes with cubes to identify the volume of the boxes. Students discuss area.
Illustrative Mathematics
Downhill
A car traveling down a steep hill is the model for this resource. The confusion comes when the elevation, E, is given in terms of distance, d. The distance, d, is the horizontal distance from E. Therefore, the equation, E = 7500 – 250d,...
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Chapter 6: Geometry Perimeter and Area
In this perimeter and area learning exercise, students find the perimeter of various polygons. They compute the perimeter, surface area, circumference, and volume of given figures. Students explore trigonometric ratios. This...
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Investigating Pythagorean Triples
Students investigate and solve Pythagorean triples. In this geometry lesson plan, students find the missing sides and angles of a right triangle. They graph right triangles and move the sides around to create different angles.
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Understanding Fundamental Trigonometric Identities
Young scholars are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also...
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Linear/Planar Geometry - Week 5
In this plane geometry worksheet, students combine the basis of plane geometry and linear problems to solve problems. They determine total surface area, the length of a line, and the sum of the edges of a three-dimensional figure. This...