Curated OER
T Points from Directions
Here is a activity that starts with having geometers translate points using compass directions into an accurate picture of the problem. Then they must use their knowledge of the Pythagorean theorem or similar triangles to solve. This...
Curated OER
Number Patterns in Everyday Life
Examine scenarios involving number patterns. Learners complete a series of activities, including working with Pascal's triangle ando completing chart activities based on different pricing for pizza toppings. An included extension has...
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...
Improving Measurement and Geometry in Elementary Schools
Rep Tiles
In addition to the catchy title, this lesson plan provides upper graders an opportunity to more closely scrutinize the attributes of plane figures. In particular, they focus on the similarity of different shapes. Both whole-class and...
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.
EngageNY
Points of Concurrencies
You say that perpendicular bisectors intersect at a point? I concur! Learners investigate points of concurrencies, specifically, circumcenters and incenters, by constructing perpendicular and angle bisectors of various triangles.
Curated OER
Tile Patterns II: Hexagons
After learning that the sum of interior angles for triangles is 108 degrees, take it further to show that the sum of angles in any polygon is the same! Using hexagons, pupils practice finding the measure of the six congruent angles. Make...
Discovery Education
Discovering Math: Exploring Geometry
Apply geometric properties and formulae for surface area and volume by constructing a three-dimensional model of a city. Learners use similar and congruent figures and transformations to create a city of at least 10 buildings. They trade...
Virginia Department of Education
Angles, Arcs, and Segments in Circles
Investigate relationships between angles, arcs, and segments in circles. Pupils use geometry software to discover the relationships between angles, arcs, and segments associated with circles. Class members use similar triangles to...
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 to...
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
Young scholars 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
Try An Angle
Fifth graders classify the different triangles by sides and angles. They discover how many different ways they can arrange 2, 3, 4 ...7 tangram pieces to create triangles. They classify and label the six triangles on their pattern sheet.
Curated OER
Exploring Altitudes in Math
Learners 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
Investigating the Idea of Cos
Fifth graders use cos to solve problems involving right-angled triangles. They solve equations of the form cos(++) = a, for a between -180 and 360 degrees. They state the value of cos(++) in special cases and graph y = cos(++).
Curated OER
Proportional Segments Between Parallel Lines
High schoolers 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 worksheet, 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 with...
Curated OER
Congruence with Robot Gobot
Students identify the properties of solids and polygons. For this geometry lesson, 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, learners 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
High schoolers explore the concept of fractals. In this fractals lesson, students play the "Chaos Game" via an applet. High schoolers 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...
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