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Trigonometry

Solving Right Triangles

 

 Introducing 3 Trigonometric Ratios

 

 

 Exploring the Tangent Ratio

 

 

     

Introduction to Trigonometry

 

The Law of Cosines

 

The Law of Sines

 

 

     

Special Right Triangle Drawings

 

30-60-90 Triangles


45-45- Right Triangles

     
Transformations
Introducing a Translation


Using Matrices to Transform a Figure

Line and Rotational Symmetry

 

 

     
Translation Worksheet


   
     

 

Introduction of Transformations

     
Similarity

 Geoboard/Pattern Block Similarity

 

 

Dividing a Line Segment Proportionally on a Coordinate Grid

 

 

Using Proportions to Solve Scale Drawings in Geometry

 

     

 

Exploring Properties of a Dilation

 

 

Similarity with the Side Splitter Theorem and the Angle Bisector Theorem

 

 

 

Developing an Understanding for the Geometric Mean

 

 

     
Circles
  Building Understanding for the Equation of a Circle

 
     
Quadrilaterals

Discovering Properties of Quadrilaterals
 
     
Triangles
   How Many Parts Guarantee One Triangle?

 
     
3D 
 

Drawing Three Dimensional Boxes with Isosmetric Dot Paper

 

 

FREE

 

 
Area/Volume
 Task Cards for Building Polyhedra

 Problems on the Volume of a Prism


Surface Area of a Square Pyramid



     
Drawing 3D Models


Build a Model - Volume of a Square Prism and Volume of a Square Pyramid


Making Nets for  a Rectangular Box and Relational Pyramid
     
 Exploring Surface Area and Volume


 Maximum Volume - How is That Box Changing?


Constant Perimeter and Changing Area of a Rectangle -GSP

 

     

Area of a Triangle on a Geoboard

 

Discovering the Formula for the Area of a Circle

 

Exploration with Area and Perimeter, Student Activity Sheet, Follow-Up Activity and Student Grids

     

 

Using Limits to Find the Area of a Circle

 

 

 Six Station Investigation of the Area of a Rectangle, Parallelogram, and Trapezoid

 Discovering Pick's Theorem

     

Height - Area - Volume

 

 

 

 Understanding How to Find the Area of a Trapezoid

 

Area of Irregular Regions
     
Points of Concurrency
 


Points of Concurrency - An Exploration

 


 Points of Concurrency - GSP

 

 

 
     
Transformations

Discovering Patterns In Transformations with a Geoboard

10 Lessons

 

 

 Discovering Patterns In Transformations with a Geoboard Part I - 3 Lessons

 

 

 Discovering Patterns In Transformations with a Geoboard Part II - 3 Lessons

     

 

Discovering Patterns In Transformations with a Geoboard Part III - 4 Lessons

 

Discovering Properties of a Translation - SN



FREE
Student Directed Lessons and Teacher-Led Lessons on Transformations

     
MP4 Video on How Animators Use Transformational Geometry

Introduction to Transformations

 

Creating Transformations on the TI84

Similarity
Create an Enlargement, Reduction, or Distortion of a Cartoon



Exploring Similarity

 

FREE

 

What are Similar Polygons

 

     

Understanding a Dilation

 

 

Creating Similar Figures
Student Activity, Graph Paper, and Answers

How Large is that Tower?

 

     
That's a Really Big Dog!
 Discovering Ways Triangles are Similar



FREE

Finding the Height of a Flagpole


     

 

Studying the Properties of Figures Created through a Dilation

 

 
Quadrilaterals

How Many Squares Can You Find on an 11 x 11 Geoboard?

 

 

Properties of Quadrilaterals

 

 Properties of a Parallelogram

 

 

     

 

Properties of a Parallelogram

 

 

 

 

 

Exterior angles of a polygon

     
Triangles
     

SSA Investigation

 

 

 Exploring Isosceles Triangles

 

 

Understanding the 3 Trigonometric Ratios

     
Parallel and Perpendicular Lines

Slopes of Parallel and Perpendicular Lines


Parallel Lines - An Investigation


Exploring the Sum of the Angles of a Polygon


     
     
Distance, Pythagorean Theorem, Midpoints

Developing an Understanding for the Midpoint and Distance on a Plane

 

 

Finding a Midpoint of a Segment

 

 

Special Right Triangles

 

 

     

 I Have... Who Has...Cards- Pythagorean Theorem

 

 

Finding the Length of a Hypotenuse

 

Pythagorean Theorem - Discovery with Area

 

 

     

Understanding the Pythagorean Theorem

 

Visualizing the Pythagorean Theorem

 

     

 

 

 

     
Tangrams

Ten Middle School Activities for Tangrams

 

Thinking about Parts of the Whole Using Tangram Pieces

 

 

Ten High School Activities for Tangrams

 

     

 

 

Making a Set of Tangrams - Folding and Cutting Directions

 
     
Circles

5 Investigations about Tangents to a Circle

 

Folding a Circle - A Beginning Activity on Circles

Video

 

 

Finding Arc Length of a Circle

     

Investigating Line and Line Segments Associated with a Circle

 

Tangent Segments of a Circle

     

 

Integrating Writing
Write a Children's Book Cartoons Rhymes
     
Tangram Stories How To Construct End of Year
     
Wanted Posters Transformations and Tessellations Writing Definitions for Supplementary and Complementary Angles
     
Other Forms of Writing   Directions for Making the Booklet
     
Assessment Ideas
Assessment Ideas for Discovering Geometry
Chapter 0
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Alternate Chapter 7
Chapter 8
Chapter 10-11-12
Alternative Take Home Test on Circles

Scoring Rubric

Sample Student Test

Sample Student Test
Construction Booklet
Scoring Rubric
Student Sample
     
Student Mobiles   Student Portfolio On Transformations and Tessellations

Student Sample
     
Miscellaneous

Pascal's Triangle Through Polygons

Pascal's Triangle Powerpoint



FREE

Golden Ratio and Nautilus Shell

 

 

 
Finding and Analyzing Artifacts Origami Write a Poem
     
Pop Up Cards (Fractals)   Star Polygons

Star Polygon Data Chart

Scoring Rubric