EngageNY
Law of Cosines
Build upon the Pythagorean Theorem with the Law of Cosines. The 10th part of a 16-part series introduces the Law of Cosines. Class members use the the geometric representation of the Pythagorean Theorem to develop a proof of the Law of...
EngageNY
Cyclic Quadrilaterals
What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.
Curated OER
Chopping Cubes
Middle schoolers work in small groups to make various geometric solids with Play-Doh. They use fishing line to make cuts and observe the shapes of the cross-sections. Pupils complete an assessment in which they answer questions such as:...
Curated OER
The Pythagorean Puzzle
An engaging hands-on activity is presented. Learners of all ages are addressed in thie unique plan. K-5 learners identify, name, and define a rectangle, square, triangle, and the concept of area. Older learners prove the Pythagorean...
Curated OER
Getting it Right! An Investigation of the Pythagorean Theorem
In order to learn about the Pythagorean Theorem, young mathematicians investigate relations and patterns between different sides of a right triangle to look for possible relations among the squared sides. Once they have established the...
Curated OER
Dilations with Matrices
Examine dilation with matrices with your class. Learners write a conjecture for how the scale factor determines the size of an image. They then use their conjecture to write a matrix multiplication problem for the illustrated triangle...
Curated OER
Connecting Algebra and Geometry Through Coordinates
This unit on connecting algebra and geometry covers a number of topics including worksheets on the distance formula, finding the perimeter and area of polynomials, the slope formula, parallel and perpendicular lines, parallelograms,...
Charleston School District
Applications of the Pythagorean Theorem
Use patterns to your advantage! The Pythagorean Theorem allows learners to find missing sides of right triangles. Problems include those with both rational and irrational lengths.
EngageNY
Definition and Properties of Volume
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder.
Forest Foundation
Fire - How Does it Relate to You?
Forest fires can be a necessary step in keeping a forest healthy, but what happens when they get out of control? Learners investigate the causes and effects of forest fires in two specific areas, culminating in a report about the ways...
Illustrative Mathematics
Overlapping Squares
The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....
Curated OER
Pythagoras' Theorem
Learners are introduced to the Pythagoras' Theorem and its history, proofs and practice in application. Students find perimeters, areas and volume of everyday objects. Learners state and explain the theory.
American Farm Bureau Foundation for Agriculture
Shapes in Agriculture
It's time to get crafty with shapes! Your future farmers demonstrate their geometric ability by building a farm using triangles, circles, rectangles, and squares. But first, scholars take part in a brainstorm session inspired by their...
Forest Foundation
Exploring Heat & Energy
How does fire keep itself going? Explore the ways that heat uses fuel and energy with a lesson about the fire triangle and combustion. Several activities demonstrate how heat moves from warmer objects to cooler objects, as well as the...
Curated OER
Math Reference Sheet
Your young learners will enjoy having quick access to this reference sheet that includes a multiplication chart, formulas for perimeter, area, and volume, place value chart, fraction chart, basic types of polygons, triangles and lines...
EngageNY
Applications of the Pythagorean Theorem
Begin seeing the world through the lens of geometry! Use the 19th installment in a 25-part module to apply the Pythagorean Theorem to solve real-world problems. Individuals sketch situations resulting in right triangles such as the...
American Statistical Association
Exploring Geometric Probabilities with Buffon’s Coin Problem
Scholars create and perform experiments attempting to answer Buffon's Coin problem. They discover the relationships between geometry and probability, empirical and theoretical probabilities, and area of a circle and square.
Physics Classroom
Kelper's Three Laws
A flipped classroom lesson introduces astrophysics fanatics to Kepler's three laws of planetary motion. After reading about the laws of ellipses, equal areas, and harmonies, and also learning how Newton's gravitation concepts come into...
Mr Gym
Pirate Ball
Pirate ball is much like the game of capture the flag. Each team has a vault area that contains a treasure chest. There is a dungeon where captured enemy pirates are detained. In this game of pirate ball there are four teams competing to...
National Sailing Hall of Fame
Sailboat Design Requirements
Sailboat design requires more than a half-circle and triangle sketch. After viewing a slideshow presentation that outlines the requirements for sailboat design, learners draw a design, perform the needed calculations, and write a paper...
EngageNY
Mid-Module Assessment Task: Pre-Calculus Module 4
Challenge scholars to show what they know about properties and addition and subtraction formulas for trigonometric functions. The resource provides a mid-unit check on the progress toward mastery of trigonometric concepts. The areas...
Curated OER
Polygonal Strings
Sixth graders apply knowledge of how to calculate the area and perimeter of triangles. They determine why it is inappropriate to measure the area of land by its perimeter which is done in certain areas of New Guinea. They complete a...
Curated OER
Geometric Figures
Students compare, classify and calculate the area of geometric figures such as rectangles, squares, circles and triangles.
Curated OER
Power Question 2
In this math worksheet, students determine the locus of points, M, in plane ABC, such that KMAB=KMAC. They also draw the triangle ABC. Then determine the proof of the interior angles determining the identity of the equilateral triangle.
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