CK-12 Foundation
Secant, Cosecant, and Cotangent Functions: Hold the Ladder!
Determine the length of a falling ladder. Pupils use an interactive to find the angle a ladder makes with the floor after it falls to answer questions. The scholars use the triangle formed in the interactive to determine values of...
CK-12 Foundation
Distance Between Two Polar Coordinates: Exploring Changes in Angle and Radius
Get straight answers on a curved grid. An interactive has learners apply the Law of Cosines to find the distance between two points on the polar coordinate plane. The pupils use the radii lengths and the angle between the two radii...
CK-12 Foundation
Sequence of Partial Sums: Partial Sums
Have some fun building squares out of triangles. Pupils investigate the partial sums of odd numbers. Using the sum of the first four odd numbers, learners see that it can be rewritten as a sum containing a triangular number. Simplifying...
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
THE MEAN INDEX CARD
Students cut an index card to create three similar right triangles and explore the congruencies and proportions that exist. They investigate the properties of lines and concepts of congruency, similarity, tangency and symmetry of...
Curated OER
Exploring Altitudes in Math
Students draw and calculate altitudes. They draw the altitude of acute, right and obtuse triangles and calculate the altitude of a triangle using the Pythagorean theorem.
Curated OER
Proportional Segments Between Parallel Lines
Students identify similar triangles. In this proportional segments instructional activity, students identify corresponding sides, set up ratios, and find the length of the missing side of a triangle. They use the...
Curated OER
Unit 5: Worksheet 4 - Proportions
In this proportion learning exercise, students use proportions to find the missing side of similar triangles, they identify the percent of a number, and graph points on a coordinate plane. Students solve real life story problems dealing...
Curated OER
Congruence with Robot Gobot
Students identify the properties of solids and polygons. In this geometry instructional activity, students identify the different measurements of a triangle. They use congruence parts and theorem to prove their answer.
Curated OER
Proportional Parts Homework
In this geometry worksheet, students differentiate between similarity and proportion. They use scale factor as they solve for the different proportions. There are 15 questions.
Curated OER
Colorful Dogs
Students make dog collages using triangles and rectangles. In this collage lesson, students use cut-out triangles and rectangles to make a dog collage after looking examples of Keith Haring's work and listening to Emma Dodd's, Dog's...
Curated OER
Fractals and the Chaos Game
Students explore the concept of fractals. In this fractals lesson, students play the "Chaos Game" via an applet. Students place dots on the screen to recognize that they have created Sierpinski's Triangle.
Curated OER
As the Bird Flies
Students investigate the properties of lines and congruent triangle theorems as well as apply geometric properties and relationships to real-world mathematical problems. Given two different scenarios, they examine maps that have been...
Curated OER
Simson Line
Stuednts identify triangles for the Simson Line. In this geometry lesson, young scholars solve triangular problems using the properties of triangles.They differentiate between the height, congruency and similarity.
Curated OER
Chapter 4.5 Geometry Practice Problems
In this geometry practice problems learning exercise, students write geometric proofs to prove the validity of given circumstances. Students prove parallel lines, perpendicular lines, and similar angles. This four-page learning exercise...
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.
Curated OER
Fractals
Students explore the concept of fractals. In this fractal lesson plan, students use applets to explore Koch's Snowflake, Sierpinski's Triangle, and other fractals. Students develop these concepts through exploration and teacher guided...
Curated OER
Investigating Triangles 1
Students independently investigate the Pythagorean Theorem. They are given a set of triangles that involve whole number Pythagorean Triples. The main focus of the lesson is exploration rather than discovering the Pythagorean Theorem.
Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
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...
Big Kid Science
Measuring Shadows Using an Ancient Method
How did ancient peoples determine the height of really tall objects? Young scientists and mathematicians explore the concept of using shadows to measure height in a hands-on experiment. Paired pupils measure shadows, then calculate the...
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...
El Paso Community College
Geometry Definitions
Geometry is full of shapes, figures, and corresponding things here and there. The guide shares all of the key pieces of geometric information in a nicely color-coded and labeled sheet.
Curated OER
The Family Quilt
Third graders examine the artwork of Faith Ringgold. They create their own quilt pattern on fabric and piece them together to create a class quilt. They compare their similarities with one another.
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