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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

Model Rational Numbers
1. Comparing Rational Numbers – Fractions
2. Fraction 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
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!)

Information

Model Rational Numbers

1. Comparing Rational Numbers – Fractions
2. Fraction 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

Comparing Rational Numbers – Fractions

Contact us at ptierneyfife@edc.org if this resource should be updated, or with questions or suggestions. We appreciate your help maintaining the quality of this resource.

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!)

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 Shape and Space (Measurement) specifically number 3. Students should be able to figure out the surface area and area of 2D and 3D shapes. Students will: - Explain, using examples, the relationship between the area of 2-D shapes and the surface area of a given 3-D object. - Identify all the faces of a given prism, including right rectangular and right triangular prisms. - Identify all the faces of a given right cylinder. - Describe and apply strategies for determining the surface area of a given right rectangular or right triangular prism. - Describe and apply strategies for determining the surface area of a given right cylinder. - Solve a given problem involving surface area.

30-2

This applies directly to the 30-2 Relations and Functions 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:

Grade 8: 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. Grade 12: 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.

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