EngageNY
The Computation of the Slope of a Non-Vertical Line
Determine the slope when the unit rate is difficult to see. The 17th part of a 33-part series presents a situation that calls for a method to calculate the slope for any two points. It provides examples when the slope is hard to...
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...
National Council of Teachers of Mathematics
Bank Shot
Bank on geometry to line up the shot. The resource asks the class to determine the location to bank a cue ball in a game of billiards. Using their knowledge, class members determine where to hit the bumper to make a shot and discuss...
National Council of Teachers of Mathematics
Over the Hill
Can you hear me from there? Pupils determine the place to build a cell tower on a hill. The class uses constraints and creates a scale drawing on a coordinate system to calculate the exact location of the base of the cell tower.
Curated OER
Math Hw #15: Proportions
In this proportions worksheet, students solve 8 word problems. Students determine the cost of an item given a unit cost. Students find a missing side length of a triangle using proportions of similar triangles.
Curated OER
Six Exercise Sets on Transformations
Middle and high schoolers solve fifteen problems from six exercise sets covering transformations, reflections, rotations, and enlargements. The solutions are provided.
Polk Bros Foundation
I Can Analyze Cause and Effect
Examine cause and effect by asking pupils to fill out a basic graphic organizer. The template is for any story or event and provides a line for writing in the story or event title. Pupils write in two causes in the circles and the change...
EngageNY
The Scaling Principle for Area
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal.
Curated OER
Unit 5: Worksheet 2 - Ratios
In this ratio worksheet, students investigate the relationship between the ratio of two sides of similar triangles. Afterwards, they convert fractions, decimals, and percents. This three-page worksheet contains approximately 35...
Curated OER
The BUDGET Truck Problem
In this secondary mathematics learning exercise, students solve a problem which involves how far behind a rental truck must the driver of a car be so that he can see a stoplight from behind the truck. The problem can be solved with...
Mathed Up!
Angles: Parallel Lines
Viewers are presented with seven problems with parallel lines and angle relationships and must use the given information to find the measures of specific angles. To finish, they explain their process in finding the measures in the problems.
Curated OER
Proportional Parts Homework
In this geometry worksheet, learners differentiate between similarity and proportion. They use scale factor as they solve for the different proportions. There are 15 questions.
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...
Charleston School District
3D Applications of the Pythagorean Theorem
How many right triangles can you find in a prism, cone, or pyramid? Using right triangles to find lengths in three-dimensional figures is the focus of the lesson. After working with the Pythagorean Theorem to find missing side 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.
Curated OER
Chapter 4.5 Geometry Practice Problems
In this geometry practice problems worksheet, students write geometric proofs to prove the validity of given circumstances. Students prove parallel lines, perpendicular lines, and similar angles. This four-page worksheet contains eight...
Curated OER
Recursion on a Calculator
In this math worksheet, students investigate repeated values on the calculator. They also read the explanation of the golden triangle and its proof.
Noyce Foundation
Between the Lines
Explore linear and square dimensions by comparing areas of similar figures. A creative set of five activities designed for elementary through high school classes asks young scholars to compare areas of specific polygons. The first two...
Concord Consortium
Measuring the Unit Circle
Here's the right task to investigate right triangles in the unit circle. A short performance task has learners determine the product of two side lengths in a unit circle. They must apply similarity concepts and trigonometric ratios to...
Curated OER
Transformations and Congruence
In this transformations and congruence worksheet, 10th graders solve and complete 5 different types of problems. First, they calculate the length of a line giving their answer in 3 significant figures. Then, students prove that two...
Mathed Up!
Enlargements
Make enlargements with and without centers. Pupils work through seven problems dealing with dilations or enlargements. The first couple items are strict enlargements without centers, while the others have centers. Class members also...
Curated OER
Countdown Challenge: Tangrams
In this tangram worksheet, students find the area of each tangram shape. Afterwards, they name each piece and find the area of combined figures. This one-page worksheet contains approximately 25 problems.
Curated OER
Teddy Bear Shape Cards
Teddy Bears and shape recognition combine using this template, which includes 4 cut-out cards. Each card has a teddy bear with a shape on his middle. Intended for very young elementary, the instructions suggest 2 educational options: cut...
Curated OER
SAT Problem Solving Practice Test 09
In this problem solving activity, students solve problems involving similar figures, polynomials, integers, and exponents. This one-page activity contains ten multiple-choice worksheets. Students may submit this online activity for...
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