CK-12 Foundation
Identifying Sets of Pythagorean Triples: Matching Problem
What sets of whole numbers make up the measures of side lengths in right triangles? Pupils use an interactive triangle to learn about Pythagorean triples. Individuals find missing values in triples and learn more about Pythagorean...
Balanced Assessment
Refiguring Pythagoras
Why was Pythagoras so obsessed with squares? The assessment task posits the question of whether the geometric interpretation of the Pythagorean Theorem holds for figures other than squares. Scholars first consider the case of semicircles...
Del Mar College
Formulas for Elementary and Intermediate Algebra
Give your scholars the support they need to work with formulas. A reference page offers definitions and picture examples of perimeter, area, surface area, volume, the Pythagorean theorem, a variety of shapes, and more.
101 Questions
Taco Cart
Sometimes you just need a taco. Young mathematicians investigate two different paths on a beach to get to a taco cart. Completion of the task requires finding distances using the Pythagorean Theorem and considering the different walking...
101 Questions
Snail's Pace
Time doesn't fly when you're watching a snail cross a sidewalk. Combining the concepts of the Pythagorean Theorem and the distance, rate, and time formula, learners determine how long it takes a snail to go from one corner of a sidewalk...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Claim 3
Communication is the key. A dozen sample items require scholars to communicate their reasoning involved in arriving at a solution. The PowerPoint from the Gr. 8 Claim 2 - 4 Item Slide Shows series uses a variety of content to...
Illustrative Mathematics
The Lighthouse Problem
Long considered the symbol of safe harbor and steadfast waiting, the lighthouse gets a mathematical treatment. The straightforward question of distance to the horizon is carefully presented, followed by a look into the...
Virginia Department of Education
Circles in the Coordinate Plane
Make the connection between the distance formula and the equation of a circle. The teacher presents a lesson on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the coordinate plane and...
Flipped Math
Parallelograms and Triangles
Expand area problems to incorporate prior knowledge. Pupils begin by reviewing the formulas for finding the area of parallelograms and triangles. The scholars apply previous learning of trigonometric ratios and the Pythagorean Theorem to...
Curated OER
Radio Antenna Application of the Pythagorean Theorem Problem
In this Pythagorean theorem worksheet, students solve one Pythagorean Theorem application problem concerned with the minimum length required for a radio antenna wire. The solution is provided by clicking on the "show solution"...
Math Mammoth
Pythagorean Theorem; Math Mammoth.com
In this math worksheet, learners check to see if two triangles are right triangles by using the Pythagorean theorem. When given two sides of a right triangle, students find the third side. They use the Pythagorean theorem to find the...
Curated OER
Pythagorean Theorem Worksheet
In this Pythagorean theorem worksheet, students solve 24 problems in which they find the missing side of a ride triangle given the length of 2 sides.
Curated OER
The Pythagorean Theorem
Students use the Pythagorean Theorem to solve problems. In this geometry activity, students complete problems with different percents of accuracy as they use the Pythagorean Theorem. Students answer verbally to verify they understand the...
Curated OER
Geometric Mean and the Pythagorean Theorem
In this geometric mean and the Pythagorean Theorem activity, 10th graders solve 16 different problems that determine the geometric mean of numbers by applying the Pythagorean Theorem. First, they find the geometric mean between each pair...
Curated OER
Areas of Geometric Shapes with the Same Perimeter
A triangle, square, hexagon, and circle all have a perimeter of one unit. Eighth graders must attempt to find the area of each and arrange them in order from least to greatest areas. A terrific task for applying four different...
Curated OER
The Pythagorean Theorem
Students research Pythagoras and learn how to apply his theorem. They solve real life problems using the theorem and demonstrate knowledge of exponents, equations, and radicals. Students include diagrams in their research papers.
Mathed Up!
3-D Pythagoras
Apply the Pythagorean Theorem in three-dimensional shapes. Young mathematicians watch a video that takes them through several examples of using the Pythagorean Theorem to solve problems involving lengths in three-dimensional figures. A...
EngageNY
Criterion for Perpendicularity
The Pythagorean Theorem is a geometry pupil's best friend! Learners explain the equation a1b1 + a2b2 = 0 for perpendicular segments using the Pythagorean Theorem. They are able to identify perpendicular segments using their...
Willow Tree
Midpoint and Distance Formulas
The shortest distance between two points is a straight line. Learners use the Pythagorean Theorem to develop a formula to find that distance. They then find the midpoint using an average formula.
Mathematics Vision Project
Similarity and Right Triangle Trigonometry
Starting with similar triangles and dilation factors, this unit quickly and thoroughly progresses into the world of right triangle features and trigonometric relationships. Presented in easy-to-attack modules with copious application...
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
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
Find the Missing Side of the Right Triangle
In this find the missing side of the right triangle worksheet, middle schoolers use the Pythagorean theorem to find the missing side, given the other 2 lengths, for 4 triangles.
Curated OER
Flying with Pythagoras
A lengthy narrative about Pythagoras and his students precedes an activity in which your young mathematicians practice using the Pythagorean theorem to solve three problems about flight and distance. Answers are provided.