EngageNY
Systems of Equations Leading to Pythagorean Triples
Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils...
Curated OER
Practice: Word Problems
Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians...
101 Questions
Marine Ramp
Boat ramps move with waves and changes in water level. Scholars decide on the proper length for a ramp so the angle connecting both sides is appropriate. They visualize the situation and use a simulation to view the results with their...
Curated OER
Gougu Rule or Pythagoras' Theorem
Fifth graders explore Pythagoras' Theorem. They examine the pattern linking the length of the hypotenuse of a right angled triangle and the length of the other two sides. Students find an unknown side in right angled triangles.
Curated OER
How are Trig Ratios Used to Measure Triangle Sides
Students identify the ratios of trig identities. In this geometry lesson, students solve the missing sides and angles of triangles using trig ratios. They relate the graphs and waves to real life scenarios.
Curated OER
How Tall Is That Flag Pole?
Pupils examine various triangles and discuss how similar triangles have sides that are proportional. They utilize an ancient Egyptian method to determine the height of a flagpole.
Curated OER
Trigonometric Ratios
Learners investigate properties of the unit circle using sine, cosine and tangent. They analyze the answers to questions about the unit circle based on a right triangle.
Curated OER
Proof of the Pythagorean Theorem Using Transformations
Middle and high schoolers construct a triangle using Cabri Jr. They construct squares on each of the legs and hypotenuse of the triangle. Pupils show that the area of the squares on the leg equal the area of the square on the hypotenuse.
Curated OER
Slope Right Up
Students use triangles to find the length and slope of each side. After connecting the vertices, they add points based on their specific instructions. They use the Pythagorean Theorem to complete a worksheet to end the lesson.
101 Questions
Catcher to 2nd
Who's on second? Young mathematicians use a diagram of a baseball field to find the distance a catcher must throw to reach second base. A brief video of such a play during a baseball game sets the stage for the assignment.
Beauty and Joy of Computing
Building Your Own Blocks
Isn't building with blocks an activity for toddlers? The third lab of a five-part unit teaches young computer scientists how to create their own block instructions for programming. They use these blocks to create geometric figures, spell...
Flipped Math
Unit 9 Review: Area of Polygons
It's time to show what you know! Individuals first review finding the area of polygons using the formulas from parallelograms to regular polygons. They then brush up on finding the area and circumference of circles, as well as reviewing...
Radford University
REALLY Tall!
Conduct indirect measurements three ways. Working in groups, pupils come up with different ways to measure three tall objects indirectly. The teacher provides measurement information requested by the teams, and learners then calculate...
101 Questions
Sacre Coeur Funicular
Rise to the challenge of trigonometry. Watching a video of an ascending funicular at the Sacre Coeur in Paris sets the stage for a challenging task. Young mathematicians use a given diagram, along with the concepts of slope and...
Radford University
How to Build a Happy Home
Build a complete house in just a few days. Learners create floor, roof, deck, and landscape plans for a two-story house. Scholars then use their knowledge of area formulas, trigonometric ratios, and the Pythagorean Theorem to determine...
Radford University
Football Tackle Problem
Tackle a task on the gridiron. Scholars use geometric concepts to determine the distance on a coordinate plane that certain football players need to move for a play. They then design their own plays and create presentations where they...
Radford University
Remodeling a Home
Get new flooring for as cheap as possible. Given a floor plan of a house, pupils determine the area of each room and the amount of necessary flooring. They then make selections for the flooring in every space, taking a budget into...
Curated OER
Perpendicular and Angle Bisectors
In this geometry worksheet, 10th graders solve problems that are based on the theorems associated with perpendicular and angle bisectors of a triangle. An application on the coordinate plane is included. The one page...
Curated OER
Practice Problems
In this geometry worksheet, students practice finding the measure of 4 different angles. Students work independently as they refine their ability to correctly calculate the measure of an angle.
Curated OER
Trig River
Students calcute distances using trigonometry and angle measurements. They estimate the width of the Trig River, measure it and compare their results with their classmates. They collaborate with a group to research and find the results.
Curated OER
Pythagorean Theorem
Students solve problems using the Pythagorean Theorem. In this geometry lesson, students identify the sides and angles of a right triangle. They find the different trigonometric ratios and solve using sine, cosine and tangent.
Curated OER
How High did My Rocket go?
Young scholars shoot off a rocket and measure the trig ratios relation. In this geometry lesson, students practice using an inclinometer to figure out how high their rockets fly. They measure angles and height and relate it to gravity...
Curated OER
Trig is SOH Easy!
Students derive the six trigonometric identities. In this trigonometry lesson plan, students review the parts of a right triangle and use the Pythagorean theorem as a guide to find the trig identities. They find sine, cosine and tangent...
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.