Handout
CK-12 Foundation

Ck 12: Geometry: Triangle Congruence Study Guide

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Provides an overview of triangle congruence, including key terms, properties of congruent triangles, triangle postulates and theorems, and special triangles.
eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 13.3 Sas Triangle Congruence

For Students 9th - 10th Standards
See how two triangles are congruent it means that all corresponding angle pairs and all corresponding sides are congruent.
Handout
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Determining Triangle Similarity

For Students 9th - 10th Standards
Dr. Math responds to a question about how to determine if two triangles are similar. The Dr. goes into detail about the process and gives several examples that are worked out for you.
Lesson Plan
Science and Mathematics Initiative for Learning Enhancement (SMILE)

Smile: Number Patterns in Pascal's Triangle

For Teachers 9th - 10th
Contains relevant information regarding the Pascal's Triangle "Inform the students that the rows and columns of integers that make up the triangle known as "Pascal's Triangle" contain many number patterns that they can easily recognize...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Showing a Triangle Congruence: A Particular Case

For Teachers 9th - 10th Standards
Given two congruent triangles, students are asked to analyze the effects of different transformations. Aligns with G-CO.A.5.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe, G Srt Finding Triangle Coordinates

For Teachers 9th - 10th Standards
Given a picture of a triangle on a coordinate grid, students are asked to find the coordinates of points which divide line segments in a given ratio. Aligns with G-GPE.B.6 and G-SRT.B.5.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Similar Triangles

For Teachers 9th - 10th Standards
This task works toward establishing the AA criterion for similarity of triangles. Young scholars are asked to provide a detailed sequence of transformations that moves one of the given triangles onto the other. Aligns with G-SRT.A.3.
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Pascal's Triangle

For Teachers 4th - 6th
In this lesson, students will participate in discussions and activities that will have them explore the number patterns and fractal properties of Pascal's Triangle.
Unknown Type
Khan Academy

Khan Academy: General Triangle Word Problems

For Students 9th - 10th Standards
Solve word problems that involve general triangles using trigonometry. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Activity
Analyze Math

Analyze Math: Triangle Problems

For Students 9th - 10th Standards
Here are five triangle problems to solve using the Law of Sines, Law of Cosines, Pythagorean Theorem, and trigonometry. All problems have detailed written solutions included.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Inscribing an Equilateral Triangle in a Circle

For Teachers 9th - 10th Standards
Suppose we are given a circle of radius r. The goal of this task is to construct an equilateral triangle whose three vertices lie on the circle. Aligns with G-CO.D.13.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Reflections and Equilateral Triangles

For Teachers 9th - 10th
Given an equilateral triangle, learners are asked to explore its symmetries using rigid transformations of the plane. Aligns with G-CO.B.
Interactive
Calculator Soup

Calculator Soup: Triangle Theorems Calculator

For Students 9th - 10th Standards
Each calculation option has sub-bullets that list the sequence of methods used in this calculator to solve for unknown angle and side values including Sum of Angles in a Triangle, Law of Sines, and Law of Cosines.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G C, G Srt Setting Up Sprinklers

For Teachers 9th - 10th Standards
In this task, students must decide where to place sprinklers on a lawn so that the maximum area of the lawn will be watered. To solve it, they must find areas of sectors of circles and use trigonometric ratios to solve right triangles....
Lesson Plan
Alabama Learning Exchange

Alex: Geometric Mean and Indirect Measurement

For Teachers 9th - 10th
In this inquiry-based lesson, young scholars will work in groups to gather measurements needed to approximate the height of a building. Students will discover how geometric mean can be used to find the lengths of missing sides of right...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe, G Srt Slope Criterion for Perpendicular Lines

For Teachers 9th - 10th Standards
The goal of this task is to use similar triangles to establish the slope criterion for perpendicular lines. Aligns with HSG-GPE.B.5 and HSG-SRT.B.5.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Tangent Line to Two Circles

For Teachers 9th - 10th Standards
The purpose of this task is to use similar triangles and setting up a proportion in order to calculate a side length. Aligns with G-SRT.B.5.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Pythagorean Theorem

For Teachers 9th - 10th Standards
The purpose of this task is to prove the Pythagorean Theorem using similar triangles. Aligns with G-SRT.B.4.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: g.co Reflections and Isosceles Triangles

For Teachers 9th - 10th Standards
This task has young scholars link their intuitive notions of symmetries of a triangle with statements proving that said triangle is unmoved by applying certain rigid transformations. The mechanism through which students do this is via...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr Trina's Triangles

For Teachers 9th - 10th Standards
In this task, learners investigate polynomial identities in order to generate Pythagorean triples. Aligns with A-APR.C.4.
Unit Plan
Cuemath

Cuemath: Law of Cosine

For Students 9th - 10th Standards
Explore the world of the Law of Cosine in this mini-lesson. Provides a definition, simulations, examples, and practice questions that help with understanding.
Handout
Purple Math

Purplemath: Basic Trigonometric Ratios: Examples

For Students 9th - 10th Standards
Demonstrates how to use trig ratios to do simple solving of triangles.
Lesson Plan
University of Texas at Austin

The University of Texas Mc Donald Observatory: Delta, Delta, Delta

For Teachers 6th - 8th
Students learn abouT the Law of Reflection by constructing an equilateral triangle using graph paper, pencil, protractor, and a ruler and a "laser triangle" using a laser pointer and front-silvered mirrors.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Mt. Whitney to Death Valley

For Teachers 9th - 10th
For this task, students are asked to make a mathematical model and determine if it is possible to see a point on the surface of the Earth that is 85 miles away, and well below sea level, from the top of a mountain. The curvature of the...

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