Ms. Ebel's Math Book

Sarah Ebel, Oct 17, 2024

Geometry and Fraction Concepts for Elementary Students

Table of Contents

  1. Addition of Fractions
    1. Addition of Fractions
    2. Addition of fractions
    3. Illustrating Addition and Subtraction of Proper Fractions
    4. Fraction Addition
  2. Subtraction of Fractions
    1. Fraction Bar - Subtraction
    2. Fraction Subtraction Estimation Practice
    3. Subtracting Fractions using an Area Model
    4. Subtracting Proper Fractions
  3. Multiplication of Fractions
    1. fraction multiplication
    2. Fraction Multiplication
    3. Multiplying Fractions Using Visual Models
    4. Multiplying Fractions
  4. Division of Fractions
    1. Division of fractions
    2. Modeling Division as a Fraction
    3. Dividing Proper Fractions
    4. Dividing Fractions Using Visual Models
  5. Multiples
    1. multiples of fractions
    2. Factors and Multiples
  6. Fraction Models
    1. Fraction Models
    2. Modeling Division as a Fraction
    3. Comparing Fractions Using a Benchmark
    4. Modeling Fractions and Decimals
  7. Fraction Equivalence, Ordering, & Simplifying
    1. Equivalent Fractions
    2. Ordering Fractions
    3. Simplifying Fractions
    4. Simplifying Fractions
  8. Denseness of Fractions
    1. Comparing Fractions with Unlike Denominators Using Models
    2. Fraction Exploration
  9. Ordering
    1. Ordering Fractions
    2. Comparing Fractions
    3. Ordering Simple Fractions
  10. Geometry
    1. Geometry 2D - Shapes Activity
    2. 2D shapes
    3. Parallelograms (I)
    4. Congruence of Triangles
    5. 3D shapes
    6. Creating shapes using TinkerCAD!
    7. Circle vs. Sphere
    8. Finding the Area of Irregular Shapes
    9. Parallelogram: Area
    10. Circle Area (By Peeling!)
    11. Square Area
    12. Area of a Sector
    13. Maximizing Trapezoid Area
    14. Volume of rectangular prisms
    15. Volume of cone
    16. Volume of Spheres
    17. Volume of cylinder
    18. Triangle: Exterior Angles
    19. Triangle Angle Theorems
    20. Parallel & Perpendicular Lines
    21. Perpendicular Lines: Quick Intro
    22. Geometry Resources
    23. Vertical Angles Theorem
    24. Surface Area: Intuitive Introduction
    25. Surface Area & Volume Pyramid
    26. Surface Area - Trapezoid
    27. Circumference and Diameter
    28. Perimeter and Area
    29. Perimeter Practice
    30. GeoBoard - Arrays, area, perimeter, and representations

1.

Addition of Fractions

Addition of Fraction

  • 1. Addition of Fractions
  • 2. Addition of fractions
  • 3. Illustrating Addition and Subtraction of Proper Fractions
  • 4. Fraction Addition

1.1.

Addition of Fractions

How to add two fractions
– R.PRASADA REDDY

1.2.

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1.3.

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1.4.

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2.

Subtraction of Fractions

Subtraction of Fractions

  • 1. Fraction Bar - Subtraction
  • 2. Fraction Subtraction Estimation Practice
  • 3. Subtracting Fractions using an Area Model
  • 4. Subtracting Proper Fractions

2.1.

Fraction Bar - Subtraction

You can change the fractions by using right panel values.
Thank you, Tang Dashi on GeoGebra Forum for the great job.
– Auston B Cron

2.2.

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2.3.

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2.4.

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3.

Multiplication of Fractions

Multiplication of Fractions

  • 1. fraction multiplication
  • 2. Fraction Multiplication
  • 3. Multiplying Fractions Using Visual Models
  • 4. Multiplying Fractions

3.1.

fraction multiplication

– sonom

3.2.

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3.3.

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3.4.

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4.

Division of Fractions

Division of Fractions

  • 1. Division of fractions
  • 2. Modeling Division as a Fraction
  • 3. Dividing Proper Fractions
  • 4. Dividing Fractions Using Visual Models

4.1.

Division of fractions

Division of fractions
Division of fractions
– sm.besharat

4.2.

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4.3.

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4.4.

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5.

Multiples

Multiples of Fractions

  • 1. multiples of fractions
  • 2. Factors and Multiples

5.1.

multiples of fractions

– Guido Pinkernell

5.2.

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6.

Fraction Models

Modeling Rational Numbers

  • 1. Fraction Models
  • 2. Modeling Division as a Fraction
  • 3. Comparing Fractions Using a Benchmark
  • 4. Modeling Fractions and Decimals

6.1.

Fraction Models

This worksheet is for investigating/comparing fractions through the manipulation of rectangular and circular area models.
– Edward Knote

6.2.

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6.3.

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6.4.

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7.

Fraction Equivalence, Ordering, & Simplifying

  • 1. Equivalent Fractions
  • 2. Ordering Fractions
  • 3. Simplifying Fractions
  • 4. Simplifying Fractions

7.1.

Equivalent Fractions

Move the sliders m and n to control the fraction.[br][br]You can create more slices by changing the slider, d. and then ticking the checkbox. [br][br]The fractions are equal (equivalent), if you write the two fractions in the form [math]\frac14[/math], [math]\frac5{20}[/math] for example. How can you tell they are equivalent?
Equivalent Fractions
Created by Dr GJ Daniels.
– Gareth Daniels

7.2.

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7.4.

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8.

Denseness of Fractions

Even though there's two fractions, there is always fractions in the middle.

  • 1. Comparing Fractions with Unlike Denominators Using Models
  • 2. Fraction Exploration

8.1.

Comparing Fractions with Unlike Denominators Using Models

Compare fractions with unlike denominators using visual models in this interactive activity.
Putting It All Together
[i]Answer these open ended questions on your own or with others to form deeper math connections. [/i]
Comparing fractions with the same denominator is easy. For example, comparing [math]\frac{3}{4}[/math] with [math]\frac{1}{4}[/math], we know that 3 parts out of 4  are greater than 1 part out of 4. Using a similar concept and without finding a common denominator, how would you compare fractions with the same numerators?
– GeoGebra Content Team

8.2.

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9.

Ordering

Ordering of Fractions

  • 1. Ordering Fractions
  • 2. Comparing Fractions
  • 3. Ordering Simple Fractions

9.1.

– Auston B Cron, Neil

9.2.

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9.3.

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10.

Geometry

  • 1. Geometry 2D - Shapes Activity
  • 2. 2D shapes
  • 3. Parallelograms (I)
  • 4. Congruence of Triangles
  • 5. 3D shapes
  • 6. Creating shapes using TinkerCAD!
  • 7. Circle vs. Sphere
  • 8. Finding the Area of Irregular Shapes
  • 9. Parallelogram: Area
  • 10. Circle Area (By Peeling!)
  • 11. Square Area
  • 12. Area of a Sector
  • 13. Maximizing Trapezoid Area
  • 14. Volume of rectangular prisms
  • 15. Volume of cone
  • 16. Volume of Spheres
  • 17. Volume of cylinder
  • 18. Triangle: Exterior Angles
  • 19. Triangle Angle Theorems
  • 20. Parallel & Perpendicular Lines
  • 21. Perpendicular Lines: Quick Intro
  • 22. Geometry Resources
  • 23. Vertical Angles Theorem
  • 24. Surface Area: Intuitive Introduction
  • 25. Surface Area & Volume Pyramid
  • 26. Surface Area - Trapezoid
  • 27. Circumference and Diameter
  • 28. Perimeter and Area
  • 29. Perimeter Practice
  • 30. GeoBoard - Arrays, area, perimeter, and representations

10.1.

Geometry 2D - Shapes Activity

The purpose of this activity is to give students the opportunity to discover that 2D-shapes are all around us. Students will also be able to identify 2D-shapes.
Directions for teachers:[br]Allow students to preview the video on 2D-shapes. [br]Allow students to identify the 2D-shapes in the image. Allow students to use the tools provided to trace over all the 2D-shapes on the image that they see. Students will also name the shapes and write the number of each 2D-shape found.
– Vernet Longville

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10.5.

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10.6.

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10.7.

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10.8.

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10.9.

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10.10.

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10.11.

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10.12.

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10.13.

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10.14.

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10.15.

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10.16.

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10.17.

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10.18.

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10.19.

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10.20.

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10.21.

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10.22.

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10.23.

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10.24.

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10.25.

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10.26.

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10.27.

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10.28.

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10.29.

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10.30.

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