Illustrative Mathematics
Illustrative Mathematics: G Srt Bank Shot
This task asks students to use similarity to solve a pool table problem. Students must use the fact from physics that when an object bounces off of a wall, the angle of incidence equals the angle of reflection. Aligns with G-SRT.B.5.
Illustrative Mathematics
Illustrative Mathematics: G Srt Are They Similar?
In this task, students are shown two triangles that appear to be similar, but whose similarity cannot be proven without further information. Students are asked to provide a sequence of similarity transformations that maps one triangle to...
Illustrative Mathematics
Illustrative Mathematics: G Srt Joining Two Midpoints of Sides of a Triangle
In this task, students must prove that angles and triangles are congruent and that a parallel line passes through the midpoints of two sides of the larger triangle. Aligns with G-SRT.B.4.
Illustrative Mathematics
Illustrative Mathematics: 8.g, G Gpe, G Srt, G Co Is This a Rectangle?
For this task, students are given four sets of coordinate pairs and are asked to determine if they represent a rectangle. Aligns with 8.G.A, 8.G.B, G-CO.B, G-GPE.B, and G-SRT.B.5.
Illustrative Mathematics
Illustrative Mathematics: 8.g, G Srt Points From Directions
For this problem, students must carefully read the description of a triangle and a fourth point that lies outside it and draw a picture to represent the problem. They must then use the Pythagorean Theorem to find side lengths. Aligns...
Illustrative Mathematics
Illustrative Mathematics: 8.g Comparing Snow Cones
This task asks students to compare the volume of a cone to a truncated cone when they are the same height. They must calculate volumes for a cone, a truncated cone, and a hemisphere. Aligns with 8.G.C.9.
Illustrative Mathematics
Illustrative Mathematics: G Srt Defining Trigonometric Ratios
The purpose of this task is to use the notion of similarity to define the sine and cosine of an acute angle. Aligns with G-SRT.C.6.
CK-12 Foundation
Ck 12: Geometry: Corresponding Parts of Similar Figures
[Free Registration/Login may be required to access all resource tools.] In this lesson, students identify corresponding parts of similar figures. Students examine guided notes, review guided practice, watch instructional videos and...
CK-12 Foundation
Ck 12: Algebra: Applications Using Linear Models
[Free Registration/Login may be required to access all resource tools.] In this lesson students use problem-solving strategies and a plan to solve real-world dilemmas. Students watch a video tutorial, explore guided notes and attempt...
Rice University
Rice University: Cynthia Lanius: Golden Rectangles All Around
This site is a lab sheet that students can use to explore the golden ratio. It also has other informative links on it.
CK-12 Foundation
Ck 12: Geometry: Right Triangle Similarity Study Guide
[Free Registration/Login may be required to access all resource tools.] An overview of altitudes and geometric mean is provided in this study guide.
Mathigon
Mathigon: Geometry: Circle and Pi: Introduction
This lesson focuses on the characteristics of a circle including similarity, radius, circumference, and Pi. It provides formulas to determine the area of a circle, calculating Pi, and learning exercises throughout.
CK-12 Foundation
Ck 12: Geometry: Area and Perimeter of Similar Polygons
[Free Registration/Login may be required to access all resource tools.] In this lesson students find the ratios of the perimeters and areas of similar polygons. Students examine guided notes, review guided practice, watch instructional...
CK-12 Foundation
Ck 12: Geometry: Area and Volume of Similar Solids
[Free Registration/Login may be required to access all resource tools.] In this lesson students find the ratios of the surface areas and the volumes of similar solids. Students examine guided notes, review guided practice, watch...
CK-12 Foundation
Ck 12: Geometry: Area and Perimeter of Similar Polygons
[Free Registration/Login may be required to access all resource tools.] This concept teaches students to find area and perimeter of similar polygons using ratios. Students examine guided notes, review guided practice, watch instructional...
Khan Academy
Khan Academy: Use Similar and Congruent Triangles
Solve geometry problems with various triangles by using all you know about similarity and congruence. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Alabama Learning Exchange
Alex: Arc Lengths and Sector Areas
Learners will work in cooperative groups to discover the relationships between arc length, central angle measure, and circumference. They will also discover the relationship between circle area, central angle measures, and sector area....
Alabama Learning Exchange
Alex: Congruent and Similar Figures
Lesson plan where students learn about congruent and similar figures by viewing models and by using geoboards, pattern blocks, and the Internet. (Note: Lesson cited in the procedures cannot be found at the link provided.)
National Council of Teachers of Mathematics
Nctm: Illuminations: Cube Nets
This applet allows you to examine various two-dimensional figures to determine which ones can be folded into a cube.
National Council of Teachers of Mathematics
Nctm: Figure This: Statue of Liberty
Is the Statue of Liberty's nose too long? Challenge is to figure out the length of the Statue of Liberty's nose by knowing the length of her arm.
CK-12 Foundation
Ck 12: Interactive Geometry: 6.3 Aa Triangle Similarity
If two triangles are similar, it means that all corresponding angle pairs are congruent and all corresponding sides are proportional. However, in order to be sure that two triangles are similar, you do not necessarily need to have...
CK-12 Foundation
Ck 12: Interactive Geometry: 6.5 Sss Triangle Similarity
Explore and understand two triangles that are similar.
CK-12 Foundation
Ck 12: Interactive Geometry: 6.4 Sas Triangle Similarity
Explore and understand triangle similarity.
CK-12 Foundation
Ck 12: Interactive Geometry: 8.1 Circles and Similarity
Learn how similarity transformation is one or more rigid transformations (reflection, rotation, translation) followed by a dilation.