Mathematics Assessment Project
Hopewell Geometry
Right triangles from 2,000 years ago? Learners investigate different right triangles found in the earthworks of the Hopewell people, a Native American culture that populated the United States from 200BC to AD 500. Learners apply concepts...
CK-12 Foundation
Pythagorean Theorem for Solving Right Triangles: Solving the Triangle
Observe the change in the trigonometric ratios as angles vary. An interactive provides the values of trigonometric ratios for both acute angles in a right triangle. Pupils create a right triangle to match given criteria and find the...
Curated OER
Pythagorean Theorem Word Problems
Students investigate the concept of the Pythagorean Theorem for geometry by using word problems. The challenge is for them to translate the words into the right measurements for a triangle looking for the longest side known as the...
Curated OER
Finding the Missing Length of the Right Triangle and Determining if a Right Triangle
In this Pythagorean theorem learning exercise, students determine if the six sets of given lengths form right triangles. Next. students find the missing length for sixteen right triangles. The solutions are provided.
Curated OER
Pythagorean Circles
Students solve problems using smaller steps. In this geometry activity, students find the diagonals of rectangles and the area of the annulus between two circles. They are given the starting point and the radius.
Curated OER
Pythagoras's Theorem
Students explore Pythagoras' Theorem. In this geometry lesson, students complete 4 pages of equations using Pythagoras's Theorem. Students complete 14 problems.
Curated OER
Number Theory
Learners explore the concept of number theory. They discuss an assortment of number theory topics such as prime numbers, composite numbers, GCF, modular arithmetic, and others in a lecture style discussion. Pupils view videos about these...
Curated OER
Absolute Value
In this absolute value worksheet, learners solve 10 different equations that include solving absolute values. First, they determine whether their equation is expressed in the a+bi form. Then, students select the coefficients for a and b....
Curated OER
The Theorem of Pythogoras
For this geometry worksheet, learners solve right angle triangles using the Pythagorean Theorem. They calculate the area and sides of triangles and circles. There are 52 questions total.
Curated OER
Inequalities and Triangles
Students prove and apply theorems of triangle inequality and hinge theorem. In this geometry lesson plan, students will discuss which triangle is bigger and why. They will use theorems, such as Exterior Angle Inequality or the...
Curated OER
SuperShapes, Part 1; "Tri"ing Triangles
An outstanding lesson on triangles awaits your math scholars. Learners focus on the triangle, which is the strongest of all polygons. They see the role that triangles play in the design of buildings, and learn about triangle...
Curated OER
Task: Grain Storage
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...
Curated OER
Access Ramp
Just about every public building that your students are familiar with has an access ramp which complies with ADA requirements. As it turns out, designing such a ramp is an excellent activity to incorporate slope, the Pythagorean Theorem,...
Curated OER
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.
Curated OER
Geometry Worksheet: Pythagoras' Theorem
In this Pythagorean Theorem worksheet, students use the Pythagorean Theorem to find the length of the unlabeled side of the right triangle. There are 8 problems all together.
Curated OER
Investigating Pythagorean Triples
Learners investigate and solve Pythagorean triples. In this geometry activity, students find the missing sides and angles of a right triangle. They graph right triangles and move the sides around to create different angles.
DiscoverE
Build a Cable-Stayed Bridge
Large or small, bridges are architectural wonders! Construct a large-scale cable-stayed bridge during a whole class project. Scholars work in groups to erect the towers, build the roadway, and secure the cables of their very own bridges....
Illustrative Mathematics
Eratosthenes and the Circumference of the Earth
The class gets to practice being a mathematician in ancient Greece, performing geometric application problems in the way of Eratosthenes. After following the steps of the great mathematicians, they then compare the (surprisingly...
CK-12 Foundation
Vectors as Directed Line Segments: Directed Line Segment
Direct your class' attention to directed line segments. The interactive resource allows pupils to create segments with specific endpoints. Scholars plot the initial and terminal points to determine the direction and magnitude of the...
Curated OER
New York State Testing Program Practice
In this standardized test preparation worksheet, 8th graders solve several varying problems. This twelve page test preparation worksheet asks students to show their work and explain how they arrived at their answers.
Curated OER
Finding the Distance and Midpoint of a Line Segment
Students use the Pythagorean formula to find the length of a line. Afterward, they explore the midpoint formula to determine the midpoint of a line with a non-zero slope on a coordinate plane. Students complete assigned problems and...
Curated OER
Geometric Applications
In this geometry worksheet, students solve 5 word problems. Each of the problems involves finding one side of a right triangle. Story problems relate the Pythagorean Theorem to building ramps, shadows, and the length of a banner.
Curated OER
Diagonal Lengths
Middle schoolers collect, organize, and analyze data while studying the Pythagorean Theorem, measure length and width of several rectangular objects, and compare the measured results to the calculated results.
Curated OER
Mathematical Proofs
High schoolers explore the nature of mathematical proofs and mathematical inquiry. They complete the activity "Using the Pythagorean Theorem". They read selected articles and participate in class discussions.
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