Fraction and Geometry Book

Alexa, Oct 26, 2023

This book is all about the different ways you can view fractions as, such as multiply, divide, add, subtract, fractions between one another, equivalence, simplifying, and ordering

Table of Contents

  1. Model Rational Numbers
    1. Comparing Rational Numbers – Fractions
    2. Fraction and Division Equivalence
    3. Simplifying Fractions
    4. Ordering Fractions
    5. Adding and Subtracting Proper Fractions
    6. Multiplying Fractions
    7. Dividing Fractions Using Visual Models
    8. Comparing Fractions
    9. Rational numbers & Equivalent fractions
    10. Arranging fractions from least to greatest
    11. Area Models for Improper Fractions
    12. Fractions
    13. Farey Fraction Number Line (Split in Two)
    14. Fractions on a number line (updated)
    15. Copy of Making Number Lines with Common Fractions (for Teachers)
    16. Comparing fractions using number lines and circles
    17. Equivalent fractions
    18. Equivalent Fractions Task
  2. Elementary Math
    1. Landscape in Geogebra and Desmos
    2. Shape Exploration
    3. 6.1.2.2 Composing Shapes
    4. #3 Which one is different?
    5. Whole Shapes
    6. Geoboard Polygons
    7. Geometry 2D - Shapes Activity
    8. Identifing Attributes
    9. Defining Attributes of Shapes
    10. Classifying Quadrilaterals
    11. Shape Attributes
    12. Acute, Right, or Obtuse?
    13. Identifying Angles Around Us
    14. Copying a Line Segment & an Angle
    15. Symmetry Workpage
    16. Rotational Symmetry of all Quadrilaterals
    17. Line Symmetry
    18. Creating Triangles With Different Sides and Angles
    19. triangles
    20. Dynamic Geogebra Page
    21. Graph the Line
    22. Battleship in the Coordinate Plane!
    23. Build Your Own Right Triangular Prism!
    24. Rectangle Area
    25. Maximizing Surface Area: Open Middle Cube Problem (V1)
    26. FINDING THE SURFACE AREA OF THE CYLINDER
    27. Surface Area: Introductory Exercises
    28. Volume: Intuitive Introduction
    29. Areas triangles, quadrilaterals, and polygons
    30. Circle Area (By Peeling!)

1.

Model Rational Numbers

  • 1. Comparing Rational Numbers – Fractions
  • 2. Fraction and Division Equivalence
  • 3. Simplifying Fractions
  • 4. Ordering Fractions
  • 5. Adding and Subtracting Proper Fractions
  • 6. Multiplying Fractions
  • 7. Dividing Fractions Using Visual Models
  • 8. Comparing Fractions
  • 9. Rational numbers & Equivalent fractions
  • 10. Arranging fractions from least to greatest
  • 11. Area Models for Improper Fractions
  • 12. Fractions
  • 13. Farey Fraction Number Line (Split in Two)
  • 14. Fractions on a number line (updated)
  • 15. Copy of Making Number Lines with Common Fractions (for Teachers)
  • 16. Comparing fractions using number lines and circles
  • 17. Equivalent fractions
  • 18. Equivalent Fractions Task

1.1.

Comparing Rational Numbers – Fractions

Contact us at [url=mailto:ptierneyfife@edc.org]ptierneyfife@edc.org[/url] if this resource should be updated, or with questions or suggestions. We appreciate your help maintaining the quality of this resource.
– EDC in Maine

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2.

Elementary Math

Geometry

  • 1. Landscape in Geogebra and Desmos
  • 2. Shape Exploration
  • 3. 6.1.2.2 Composing Shapes
  • 4. #3 Which one is different?
  • 5. Whole Shapes
  • 6. Geoboard Polygons
  • 7. Geometry 2D - Shapes Activity
  • 8. Identifing Attributes
  • 9. Defining Attributes of Shapes
  • 10. Classifying Quadrilaterals
  • 11. Shape Attributes
  • 12. Acute, Right, or Obtuse?
  • 13. Identifying Angles Around Us
  • 14. Copying a Line Segment & an Angle
  • 15. Symmetry Workpage
  • 16. Rotational Symmetry of all Quadrilaterals
  • 17. Line Symmetry
  • 18. Creating Triangles With Different Sides and Angles
  • 19. triangles
  • 20. Dynamic Geogebra Page
  • 21. Graph the Line
  • 22. Battleship in the Coordinate Plane!
  • 23. Build Your Own Right Triangular Prism!
  • 24. Rectangle Area
  • 25. Maximizing Surface Area: Open Middle Cube Problem (V1)
  • 26. FINDING THE SURFACE AREA OF THE CYLINDER
  • 27. Surface Area: Introductory Exercises
  • 28. Volume: Intuitive Introduction
  • 29. Areas triangles, quadrilaterals, and polygons
  • 30. Circle Area (By Peeling!)

2.1.

Landscape in Geogebra and Desmos

Overview
GeoGebra has many different tools that can accomplish a variety of different things. One of these is we can make landscapes from it and give the interactive tool to students to calculate 2D objects area and 3D objects surface area.
This photo is an example of a landscape I made with GeoGebra. Using the different GeoGebra tools I constructed a car and a house and gave the sides specific lengths.
Here is a landscape in Desmos. This is made by functions instead of geometric shapes like in GeoGebra. On the left we can see the functions, but we can also hide it. Along with that, we can hide or show the grid and/or axis.
Grade 8
This directly applies to the grade 8 curriculum [u]Shape and Space (Measurement)[/u] specifically number 3. Students should be able to figure out the surface area and area of 2D and 3D shapes. [br]Students will: [br]- [b]Explain, using examples, the relationship between the area of 2-D shapes and the surface area of a given 3-D object.[/b][br]- [b]Identify all the faces of a given prism, including right rectangular and right triangular prisms.[/b][br]- Identify all the faces of a given right cylinder.[br]- [b]Describe and apply strategies for determining the surface area of a given right rectangular or[br]right triangular prism.[/b][br]- Describe and apply strategies for determining the surface area of a given right cylinder.[br]- [b]Solve a given problem involving surface area.[/b]
30-2
This applies directly to the 30-2 [u]Relations and Functions[/u] specifically numbers 4-8. Students must understand what logarithms, exponents, polynomials, and sinusoidal functions are in order to create landscapes in Desmos. Also, if they are not given the formulas, they must be able to recognize what they look like.
Sample Questions:
[u]Grade 8:[br][/u]The teacher can ask the students to determine the area of the car and the house. They can then ask to imagine it as a 3D object and calculate the surface area under certain conditions. [br][br][u]Grade 12:[br][/u]The teacher can ask the students to build their own landscape or they can show a landscape and get the students to analyze it and see how many different functions they can see.
Conclusion
In conclusion, I really like both of these programs for different reasons. I like the GeoGebra because students can interactively calculate the area and move things around. In Desmos I like how you can hide and show different functions and you have to know the functions to use them and recognize them.
– hjelm

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