GeoGebra Math Resources Preview 2023/24

Cojocari Ludmila, Apr 4, 2023

Grades 4-8 Math Resources. Our free resources are continually being updated and will be officially released in Fall of 2023. [b]If you would like to provide feedback on these resources, please click on the link in the last chapter to be directed to a very brief survey.[/b] Last Updated: March 14, 2023

Table of Contents

  1. Number Systems 4-8
    1. Factoring with Trees
    2. Making Prime Factorization Trees
    3. Adding and Subtracting Integers with Balloons and Sandbags
    4. Venn Diagrams for Statements about Two Sets
  2. Ratios & Proportions 4-8
    1. Proportional Number Patterns
    2. Writing Linear Equations Using Visual Patterns
    3. Comparing Rates of Change in a Car Race
  3. Geometry 4-8
    1. Identifying Angles Around Us
    2. Measuring Angles Using a Protractor
    3. Drawing Angles Game
    4. Finding Complementary and Supplementary Angles
  4. Coordinate Geometry 4-8
    1. Meaning of Coordinates
    2. Finding the Treasure on the Coordinate Plane
    3. Finding the Treasure in Four Quadrants
    4. Horizontal and Vertical Paths Using a City Bus Route Simulation
  5. Probability 4-8
    1. Determining the Complement of a Spinner Event
    2. Venn Diagrams for Statements about Two Sets
    3. Finding Probabilities: Jar of Marbles
  6. Statistics 4-8
    1. Comparing Box-and-Whisker and Dot Plots
    2. Constructing a Histogram
    3. Creating Double Line Graphs
    4. Creating Scatter Plots
    5. Sprinkler System Line of Best Fit
  7. Area, Volume, Surface Area 4-8
    1. Visualizing the Area of a Circle and its Formula
    2. Calculating Area of Composite Figures Using a Quilt Pattern
    3. Connecting Volumes of Pyramids and Prisms Using Visual Models
    4. Calculating the Surface Area of Cylinders Using Nets
  8. Survey
    1. Resources Preview 2023/24 Survey

1.

Number Systems 4-8

  • 1. Factoring with Trees
  • 2. Making Prime Factorization Trees
  • 3. Adding and Subtracting Integers with Balloons and Sandbags
  • 4. Venn Diagrams for Statements about Two Sets

1.1.

Factoring with Trees

Learn how to break down composite numbers into their prime factors using an interactive prime factorization tree.
Putting It All Together
[i]Answer these open ended questions on your own or with others to form deeper math connections. [/i]
How would you describe to a classmate what a prime factorization is?[br]
Quinn says that 48 has only one prime factorization. Jamie says 48 can be written as an expression of prime numbers in multiple ways. Are either of them correct? Explain why.
Joey says that 2 and 3 are prime factors of 30 so 6 cannot be a factor. Do you agree? Why or why not?
– GeoGebra Content Team

1.2.

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1.3.

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1.4.

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2.

Ratios & Proportions 4-8

  • 1. Proportional Number Patterns
  • 2. Writing Linear Equations Using Visual Patterns
  • 3. Comparing Rates of Change in a Car Race

2.1.

Proportional Number Patterns

Discover proportional number patterns by aligning number lines. Watch points bounce off a number line if you get the wrong answer.
Putting It All Together
[i]Answer these open ended questions on your own or with others to form deeper math connections. [/i]
Stretch the top number line and see where the dots fall. [br][br]What do all of the expressions of the top number line have in common? How are each of these expressions different?
Describe how you decided where to let the points drop so they fill the circles.
When the points fill the circles, how are the expressions of the top number line related to the number of bottom number line?
– GeoGebra Content Team

2.2.

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2.3.

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3.

Geometry 4-8

  • 1. Identifying Angles Around Us
  • 2. Measuring Angles Using a Protractor
  • 3. Drawing Angles Game
  • 4. Finding Complementary and Supplementary Angles

3.1.

Identifying Angles Around Us

Identify acute, right, obtuse, and straight angles while exploring everyday objects 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]
Look around the area where you are sitting. Identify a type of angle you see and describe where you see it.
– GeoGebra Content Team

3.2.

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3.3.

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3.4.

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4.

Coordinate Geometry 4-8

  • 1. Meaning of Coordinates
  • 2. Finding the Treasure on the Coordinate Plane
  • 3. Finding the Treasure in Four Quadrants
  • 4. Horizontal and Vertical Paths Using a City Bus Route Simulation

4.1.

Meaning of Coordinates

Explore the x and y coordinates of a point. Discover the meaning of a changing coordinate pair.
Putting It All Together
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
Which statements are true?
What does the [math]x[/math]-coordinate describe?
– GeoGebra Content Team

4.2.

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4.3.

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4.4.

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5.

Probability 4-8

  • 1. Determining the Complement of a Spinner Event
  • 2. Venn Diagrams for Statements about Two Sets
  • 3. Finding Probabilities: Jar of Marbles

5.1.

Determining the Complement of a Spinner Event

Discover the complement of an event. Change the probability of an event on a spinner and observe the effect.
Putting It All Together
[i]Answer these open ended questions on your own or with others to form deeper math connections. [/i]
What does the numerator of the complement represent?
Carey says that if the probability of [i]not [/i]landing on a flower is [math]\frac{2}{7}[/math], then the probability of landing on a flower is [math]\frac{5}{7}[/math]. Do you agree? Explain why or why not.
– GeoGebra Content Team

5.2.

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5.3.

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6.

Statistics 4-8

  • 1. Comparing Box-and-Whisker and Dot Plots
  • 2. Constructing a Histogram
  • 3. Creating Double Line Graphs
  • 4. Creating Scatter Plots
  • 5. Sprinkler System Line of Best Fit

6.1.

Comparing Box-and-Whisker and Dot Plots

Construct a dot plot and explore the associated box-and-whisker plot. Discover connections between the data displays, measures of center, interquartile range (IQR), and descriptions.
Putting It All Together
[i]Answer these open ended questions on your own or with others to form deeper math connections. [/i]
What does a data set look like when it is symmetric? Skewed left? Skewed right?
– GeoGebra Content Team

6.2.

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6.3.

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6.4.

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6.5.

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7.

Area, Volume, Surface Area 4-8

  • 1. Visualizing the Area of a Circle and its Formula
  • 2. Calculating Area of Composite Figures Using a Quilt Pattern
  • 3. Connecting Volumes of Pyramids and Prisms Using Visual Models
  • 4. Calculating the Surface Area of Cylinders Using Nets

7.1.

Visualizing the Area of a Circle and its Formula

Develop the formula for finding the area of a circle by breaking a circle into pieces and rearranging them.
Putting It All Together
[i]Answer these open ended questions on your own or with others to form deeper math connections. [/i]
When the circle is rearranged and the number of parts increases, what shape do the rearranged parts start to look like?
The formula for the area of a parallelogram is [math]\textsf{Area}=\textsf{base}\times\textsf{height}[/math]. If a circle is rearranged into many parts that appear like a parallelogram, what is the measure of the height and what is the measure of the base?
How does the formula for the area of a circle relate to the formula for the area of the parallelogram created by rearranging the sectors of the circle?
– GeoGebra Content Team

7.2.

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7.4.

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8.

Survey

  • 1. Resources Preview 2023/24 Survey

8.1.

Resources Preview 2023/24 Survey

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