Ms. Deurloo's Math Book

mdeurloo, Oct 17, 2024

Geometry and fraction concepts for elementary students.

Table of Contents

  1. Models of Rational Numbers
    1. VISUALIZING RATIONAL NUMBER ON A NUMBER LINE
    2. Comparing Rational Numbers – Fractions
    3. Ordering Rational Numbers
    4. Ordering Fractions
  2. Fraction Equivalence, Ordering, and Simplifying
    1. Equivalent fractions
    2. Simplifying Fractions
    3. Comparing Fractions
    4. Comparing Fractions
    5. Simplifying fractions
    6. Equivalent Fractions Activity
  3. Adding Fractions
    1. Add Fractions using Area models
    2. Adding Fractions
    3. Adding fractions on a number line
    4. Adding Like & Unlike Fractions
    5. Adding Mixed Numbers
  4. Subtracting Fractions
    1. Subtracting fractions with number lines
    2. Subtracting fractions
    3. Subtracting Fractions using an Area Model
    4. Adding and Subtracting Mixed Numbers Using Visual Models
    5. Subtracting Mixed Numbers
  5. Multiplying Fractions
    1. Multiplying Fractions
    2. Multiplying Fractions
    3. Multiply Fractions
    4. Adding and Subtracting Mixed Numbers Using Visual Models
  6. Dividing Fractions
    1. Dividing Fractions
    2. Practice Dividing Fractions
    3. Dividing Fractions Using Visual Models
  7. Denseness of Fractions
    1. Comparing Fractions with Unlike Denominators Using Models
    2. Fraction Between Two Fractions
    3. Fraction Exploration
  8. Geometry
    1. Exploring with the area of circles
    2. Painting circles
    3. Parallel & Perpendicular Lines
    4. Area Of A Triangle
    5. 2D shapes
    6. Geometry 2D - Shapes Activity
    7. Parallelogram: Area
    8. Finding the Area of Irregular Shapes
    9. Triangle Angle Theorems
    10. Proving Angles Congruent (1)
    11. Proving Angles Congruent
    12. Surface Area: Introductory Exercises
    13. Surface Area & Volume: Right Prism
    14. Circumference of a circle.
    15. Area of Circle
    16. Move and rotate 2D shapes
    17. Perimeter and Area
    18. GeoBoard - Arrays, area, perimeter, and representations
    19. 2D shapes bingo
    20. Perimeter of a Rectangle
    21. 3D Shapes
    22. Prisms and 3D shapes
    23. Area formula for circles
    24. GeoBoard
    25. Perimeter and Area-Geoboard
    26. Trapezoid: Area (I)
    27. Area Formulas
    28. Volume of Spheres
    29. Volumes of Cylinders
    30. prism volume

1.

Models of Rational Numbers

  • 1. VISUALIZING RATIONAL NUMBER ON A NUMBER LINE
  • 2. Comparing Rational Numbers – Fractions
  • 3. Ordering Rational Numbers
  • 4. Ordering Fractions

1.1.

VISUALIZING RATIONAL NUMBER ON A NUMBER LINE

* Enter a rational number with 5 decimal places.[br] (Each digit in a box)
* P represents the entered rational number on [br] the number line.
– Malini K

1.2.

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1.3.

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1.4.

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2.

Fraction Equivalence, Ordering, and Simplifying

  • 1. Equivalent fractions
  • 2. Simplifying Fractions
  • 3. Comparing Fractions
  • 4. Comparing Fractions
  • 5. Simplifying fractions
  • 6. Equivalent Fractions Activity

2.1.

Equivalent fractions

Find the equivalent fractions.
– Prashanthi Rao

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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3.

Adding Fractions

  • 1. Add Fractions using Area models
  • 2. Adding Fractions
  • 3. Adding fractions on a number line
  • 4. Adding Like & Unlike Fractions
  • 5. Adding Mixed Numbers

3.1.

Add Fractions using Area models

Change the value of the numerator and denominator of the fractions. Then, find the solution when you add the fractions. Check your answer by selecting "Check Answer."
– Samantha Garcia

3.2.

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3.3.

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3.4.

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3.5.

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4.

Subtracting Fractions

  • 1. Subtracting fractions with number lines
  • 2. Subtracting fractions
  • 3. Subtracting Fractions using an Area Model
  • 4. Adding and Subtracting Mixed Numbers Using Visual Models
  • 5. Subtracting Mixed Numbers

4.1.

Subtracting fractions with number lines

Use fractions on a number line to develop an understanding for how to subtract fractions.
– Duane Habecker

4.2.

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4.3.

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4.4.

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4.5.

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5.

Multiplying Fractions

  • 1. Multiplying Fractions
  • 2. Multiplying Fractions
  • 3. Multiply Fractions
  • 4. Adding and Subtracting Mixed Numbers Using Visual Models

5.1.

Multiplying Fractions

TASK: Multiplying Fractions Practice
– Stacy Myers, Celia Jimenez

5.2.

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5.3.

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5.4.

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6.

Dividing Fractions

  • 1. Dividing Fractions
  • 2. Practice Dividing Fractions
  • 3. Dividing Fractions Using Visual Models

6.1.

Dividing Fractions

Dividing Fractions
– Celia Jimenez

6.2.

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6.3.

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7.

Denseness of Fractions

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

7.1.

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

7.2.

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7.3.

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8.

Geometry

  • 1. Exploring with the area of circles
  • 2. Painting circles
  • 3. Parallel & Perpendicular Lines
  • 4. Area Of A Triangle
  • 5. 2D shapes
  • 6. Geometry 2D - Shapes Activity
  • 7. Parallelogram: Area
  • 8. Finding the Area of Irregular Shapes
  • 9. Triangle Angle Theorems
  • 10. Proving Angles Congruent (1)
  • 11. Proving Angles Congruent
  • 12. Surface Area: Introductory Exercises
  • 13. Surface Area & Volume: Right Prism
  • 14. Circumference of a circle.
  • 15. Area of Circle
  • 16. Move and rotate 2D shapes
  • 17. Perimeter and Area
  • 18. GeoBoard - Arrays, area, perimeter, and representations
  • 19. 2D shapes bingo
  • 20. Perimeter of a Rectangle
  • 21. 3D Shapes
  • 22. Prisms and 3D shapes
  • 23. Area formula for circles
  • 24. GeoBoard
  • 25. Perimeter and Area-Geoboard
  • 26. Trapezoid: Area (I)
  • 27. Area Formulas
  • 28. Volume of Spheres
  • 29. Volumes of Cylinders
  • 30. prism volume

8.1.

Exploring with the area of circles

Explore the area of circles by changing the radius and observing how the formula changes.
Exploring with the area of circles
– Duane Habecker

8.2.

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8.3.

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8.4.

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8.5.

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8.6.

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8.7.

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8.8.

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8.9.

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8.10.

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8.11.

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8.12.

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8.13.

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8.14.

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8.15.

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8.16.

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8.17.

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8.18.

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8.19.

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8.20.

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8.21.

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8.22.

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8.23.

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8.24.

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8.25.

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8.26.

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8.27.

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8.28.

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8.29.

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8.30.

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