Ms. Ashley

laurenjashley05, Oct 17, 2024

Fractions + Geometry concepts for Elementary students

Table of Contents

  1. Models of rational numbers
    1. Comparing Rational Numbers Using a Number Line
    2. Rational numbers between two integers
    3. Ordering Rational Numbers
    4. Rational and Irrational Numbers in Decimal Form
  2. Fraction equivalence, ordering, and simplifying
    1. Comparing Fractions
    2. Simplifying Fractions
    3. Equivalent Fractions
    4. Ordering Fractions
    5. Comparing Fractions using Models
    6. Ordering Simple Fractions
  3. Adding fractions
    1. Adding Fractions with Diagrams
    2. Adding fractions on a number line
    3. Grade 3 Adding Fractions
    4. Adding Fractions with Diagrams
  4. subtracting fractions
    1. Subtracting fractions with number lines
    2. Subtracting Proper Fractions
    3. Subtracting on Fractions Overview
    4. Fraction Addition/Subtraction - Different Denominators
  5. multiplying fractions
    1. Multiplying Fractions
    2. Multiplying Fractions
    3. Equivalent Fractions
    4. Equivalent Fractions or Not? Activity
  6. Dividing fractions
    1. Dividing Fractions based on patterns
    2. Dividing Fractions Using Visual Models
    3. 7.NS.2 - Dividing Positive Fractions
    4. Dividing Proper Fractions
  7. Denseness of fractions
    1. Fraction Exploration
    2. Fraction Between Two Fractions
    3. Comparing Fractions with Unlike Denominators Using Models
    4. Fraction flower (overview)
  8. 2D shapes
    1. Exploring Types of Triangles
    2. Squares, Squares, Squares,...
    3. Tangent at Radius
    4. Parallel & Perpendicular Lines
    5. 2D shapes
    6. Partitioning Shapes
    7. Geometry 2D - Shapes Activity
    8. Lines, Rays, and Segments
    9. Perimeter Practice
    10. 2D shapes bingo
  9. Area
    1. Triangle Angle Theorems
    2. Painting circles
    3. Triangle Area Action! (V1)
    4. Trapezoid: Area (I)
    5. Area of Circles
    6. Area Formulas
    7. Open Middle: Maximizing and Minimizing Area (1)
    8. Parallelogram Area
    9. Area of Circle
    10. Circumference = ? (Animation)
    11. Perimeter and Area-Geoboard
  10. Volume
    1. 3D SHAPES
    2. Volume of cone
    3. Volume of Spheres
    4. volume
    5. Volume of cylinder
    6. Calculating Volume with Invisible Cubes
    7. Sections of Triangular Prisms
    8. prism volume
    9. Prisms and 3D shapes

1.

Models of rational numbers

  • 1. Comparing Rational Numbers Using a Number Line
  • 2. Rational numbers between two integers
  • 3. Ordering Rational Numbers
  • 4. Rational and Irrational Numbers in Decimal Form

1.1.

Comparing Rational Numbers Using a Number Line

Compare rational numbers using a number line in this activity.
Putting It All Together
[i]Answer these open ended questions on your own or with others to form deeper math connections. [/i]
What are the similarities between the numbers -5 and 5? What are the differences?
If two numbers are positive, how can we tell which one is greater?
If two numbers are negative, how can we tell which one is greater?
– GeoGebra Content Team

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. Comparing Fractions
  • 2. Simplifying Fractions
  • 3. Equivalent Fractions
  • 4. Ordering Fractions
  • 5. Comparing Fractions using Models
  • 6. Ordering Simple Fractions

2.1.

Comparing Fractions

Use the silders to change the fractions, their positions are shown on the number line.
Comparing Fractions
Use to answer the questions and try to work out what the white dots represent![br]Created by Dr GJ Daniels.
– Gareth Daniels

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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. Adding Fractions with Diagrams
  • 2. Adding fractions on a number line
  • 3. Grade 3 Adding Fractions
  • 4. Adding Fractions with Diagrams

3.1.

Adding Fractions with Diagrams

Adding Fractions with Diagrams
– Anthony Dove, amandataylor822

3.2.

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3.3.

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3.4.

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4.

subtracting fractions

  • 1. Subtracting fractions with number lines
  • 2. Subtracting Proper Fractions
  • 3. Subtracting on Fractions Overview
  • 4. Fraction Addition/Subtraction - Different Denominators

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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5.

multiplying fractions

  • 1. Multiplying Fractions
  • 2. Multiplying Fractions
  • 3. Equivalent Fractions
  • 4. Equivalent Fractions or Not? Activity

5.1.

Multiplying Fractions

TASK: Multiplying Fractions Practice
– Stacy Myers, Celia Jimenez

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6.

Dividing fractions

  • 1. Dividing Fractions based on patterns
  • 2. Dividing Fractions Using Visual Models
  • 3. 7.NS.2 - Dividing Positive Fractions
  • 4. Dividing Proper Fractions

6.1.

Dividing Fractions based on patterns

pattern for dividing fractions
– Brian T Domroes

6.2.

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6.3.

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6.4.

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7.

Denseness of fractions

  • 1. Fraction Exploration
  • 2. Fraction Between Two Fractions
  • 3. Comparing Fractions with Unlike Denominators Using Models
  • 4. Fraction flower (overview)

7.1.

Fraction Exploration

Number Line Fraction Visualization
The number line below divides 0 to 1 into fractions defined by the sliders to the left. Try to predict equivalent fractions for different denominators, then verify visually.
Bar Visualization of Fractions.
The applet below provides side by side comparisons of two fractions defined by the sliders. Set up a fraction on the left and try to determine all equivalent fractions. Verify your answers visually using the right.
– Albert Navetta

7.2.

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8.

2D shapes

  • 1. Exploring Types of Triangles
  • 2. Squares, Squares, Squares,...
  • 3. Tangent at Radius
  • 4. Parallel & Perpendicular Lines
  • 5. 2D shapes
  • 6. Partitioning Shapes
  • 7. Geometry 2D - Shapes Activity
  • 8. Lines, Rays, and Segments
  • 9. Perimeter Practice
  • 10. 2D shapes bingo

8.1.

Exploring Types of Triangles

These are triangles. They all are a little bit different from one another. What makes them different? If they are different does that mean that they are all really triangles? Test them and see. Record what the differences are and what the similarities are. Remember what makes a triangle a triangle!
Things to think about: [br]1. When is it an acute angle? What makes it so?[br]2. When is it a right angle? What makes it so? [br]3. When is it an obtuse angle? What makes it so?
– Kayla Whiting

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8.8.

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8.9.

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8.10.

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9.

Area

  • 1. Triangle Angle Theorems
  • 2. Painting circles
  • 3. Triangle Area Action! (V1)
  • 4. Trapezoid: Area (I)
  • 5. Area of Circles
  • 6. Area Formulas
  • 7. Open Middle: Maximizing and Minimizing Area (1)
  • 8. Parallelogram Area
  • 9. Area of Circle
  • 10. Circumference = ? (Animation)
  • 11. Perimeter and Area-Geoboard

9.1.

Triangle Angle Theorems

Interact with the app below for a few minutes.  [br]Then, answer the questions that follow.  [br][br]Be sure to change the locations of this triangle's vertices each time [i]before[/i] you drag the slider!
What is the [b]sum of the measures of the interior angles of this triangle? [/b]
What is the [b]sum of the measures of the exterior angles [/b]of this triangle?
– Tim Brzezinski

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9.7.

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9.8.

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9.9.

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9.10.

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9.11.

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10.

Volume

  • 1. 3D SHAPES
  • 2. Volume of cone
  • 3. Volume of Spheres
  • 4. volume
  • 5. Volume of cylinder
  • 6. Calculating Volume with Invisible Cubes
  • 7. Sections of Triangular Prisms
  • 8. prism volume
  • 9. Prisms and 3D shapes

10.1.

3D SHAPES

PYRAMID
CONE
CYLINDER
CUBE
CUBOID
– Anthony OR 柯志明, Tim Nazeri

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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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