Primary School Mathematics Collection

Lew W. S.

Collection of applets for primary school mathematics (Ages 6 to 12) These applets are created by various contributors.

Table of Contents

  1. Unsorted
    1. Graphing on Graph Paper
    2. NS3-02-P2-Q3 Equivalent Ratio Divide Diagram
    3. NS3-01-P3-Q4 Ratio Word Problem
    4. Ratios and Proportions Exploration 1.4
    5. Bar Model Maker for Ratios
    6. Mixing Paint
    7. Comparing Mixtures (12 cups)
    8. NS3-01-P1-Q2 Find Ratio from Image
    9. Dividing in a Ratio 按比分物
    10. NS3-01-P2-Q3 Find Items to Match Ratio
    11. Let's Build Prisms
    12. Cavalieri's Principle
    13. Counting from 1 to 10 (Self Practice)
  2. Perimeter and Area
    1. Forming Composite Figures with given area and or perimeter (using unit squares)
    2. Composite Figure Template (3 colour)
  3. Fractions and Decimals
    1. Fraction Division1:　a ÷ b (Partitive)
    2. Comparing fractions using number lines and circles
    3. Comparing Fractions
    4. Fraction Division5:　x ÷ a/b (Quotitive)
    5. Fraction Division1:　a ÷ b (Partitive)
    6. fraction multiplication
    7. Fractions and Decimals
    8. Locating Fractions on a Number Line (1)
    9. Fraction Relationships with Visual Models
    10. Pedro's String (1)
    11. Illustrating Addition and Subtraction of Proper Fractions
    12. Fraction Division2:　p/q ÷ b (Partitive)
    13. Adding Fractions - Visual
    14. Improper Fractions and Mixed Numbers
    15. Division of fractions
    16. Multiplying and Dividing Fractions
    17. Dividing a Whole Number by a Fraction
    18. Addition gleichnamiger Brüche
    19. visualisation of fractions / Darstellung von Brüchen
    20. Množenje razlomaka / Multiplying fractions
    21. Expanding Fractions
    22. Ordenar fracciones
    23. Hexágono de fracciones
    24. Multiplying Fractions - Area Model
    25. Expanding and Reducing Fractions
    26. Positioning Fractions on the Number Line
    27. Fraction Division 2：a ÷ b（quotitive）
    28. Fraction Division 4：n ÷ a/b（quotitive）
    29. Fraction Division 3：a/b ÷ n（partitive）
    30. Fraction Multiplication
    31. Equivalent ftraction
    32. Comparing Fractions
    33. Operations between fractions: formative assessment
    34. Equivalent Fractions Puzzle
    35. Area Models for Improper Fractions
    36. Add Fractions using Area models
    37. Multiplication de fractions
    38. Comparing Fractions
    39. Fractions and hours
    40. Expanding and Reducing Fractions
    41. Ordering Simple Fractions
    42. Equivalent fractions with area model
    43. Equivalent fractions with number lines
    44. Fraction Workbench - decomposing fractions
    45. Fractions Division
    46. Equivalent Fractions
    47. Proof without words: Division of fractions
    48. Division of fractions with Patrick
    49. Fraction and Division
    50. Decimal Multiplication
    51. Place Value for Decimals
    52. Translating between decimal and percentage
    53. Arranging fractions, decimals, and percents
    54. Locating fractions and decimals on a number line
    55. Locating decimals on a number line
    56. IM Grade 6 Math: Unit 5 - Arithmetic in Base Ten
    57. Division is Repeated Subtraction
    58. Fraction Division
    59. Multiplication of Fractions Visualized
  4. Speed
    1. Distance Time Graph For Self Directed Learning
    2. Speed, Distance & Time in Motion (RACE CAR)
  5. Proportion and Rate
    1. Bar Model for Problems on Ratio Rate Direct Proportion
    2. Solving Proportions
  6. Percentage
    1. Solving percents with a bar model
  7. Geometry
    1. Types of Triangles
    2. Area of Circles
    3. Tangram Construction
    4. Symmetry Exercises for Kids
    5. Acute Obtuse or Reflex Angles
    6. Geogebra Book on Recognize, Name and Sort Geometric Figures
  8. Numbers
    1. nlhukhlTwo-digit whole numbers
    2. Three-digit whole numbers
    3. Telling Time to 5 minutes
    4. Part-Part-Whole Model using Bar and Circles
    5. Part-Part-Whole Estimation
    6. Number Trick : Deducing the Algebraic Expression Behind the Trick
    7. The Long Division Process
    8. TG Long Division with Whole Numbers
    9. IM 6.5.10 Lesson: Using Long Division
    10. IM 6.5.10 Practice: Using Long Division
  9. Links to Other Primary Math Geogebra Books
    1. Geogebra Resources by Others on Primary Mathematics

1.

Unsorted

  • 1. Graphing on Graph Paper
  • 2. NS3-02-P2-Q3 Equivalent Ratio Divide Diagram
  • 3. NS3-01-P3-Q4 Ratio Word Problem
  • 4. Ratios and Proportions Exploration 1.4
  • 5. Bar Model Maker for Ratios
  • 6. Mixing Paint
  • 7. Comparing Mixtures (12 cups)
  • 8. NS3-01-P1-Q2 Find Ratio from Image
  • 9. Dividing in a Ratio 按比分物
  • 10. NS3-01-P2-Q3 Find Items to Match Ratio
  • 11. Let's Build Prisms
  • 12. Cavalieri's Principle
  • 13. Counting from 1 to 10 (Self Practice)

1.1.

Graphing on Graph Paper

[b](Updated: 1 Jun 2012)[/b][br]Enter the setting of the axes scale and grid of the graph paper. Enter the function in the Input bar. [br]See the following two examples of applications.[br][br]Example 1: Graphing the quadratic function [math]y = x^2 - 3x + 1[/math] for -2 ≤ x ≤ 5 (http://www.geogebratube.org/student/m10001 )[br][br]Example 2: Graphing the sine function. (http://www.geogebratube.org/student/m10002 )
Graphing on Graph Paper
Anthony Or. GeoGebra Institute of Hong Kong.
– Anthony OR 柯志明

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1.11.

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1.12.

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1.13.

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2.

Perimeter and Area

  • 1. Forming Composite Figures with given area and or perimeter (using unit squares)
  • 2. Composite Figure Template (3 colour)

2.1.

Forming Composite Figures with given area and or perimeter (using unit squares)

[size=150]1) Use the [b]Segment[/b] tool to plot any side of a composite rectangular figure you want to create. [br] The perimeter of the composite figure will update itself[br][br]2) Use the [b][color=#ff00ff]FILLSQUARE [code][/code] [code][/code][/color][/b][url=https://imgbb.com/][img]https://i.ibb.co/6RXCLp4/PINK.png[/img][/url] tool to fill in any square unit. [br] The area of the composite figure will update itself.[br][/size][size=150][br][br]Use this template to create composite figures with specified conditions (eg. given perimeter and area) your teacher gives you. After doing so, you can go to the menu (upper right) and save your construction to your GeoGebra profile.[/size]
HOW TO USE (Quick Silent Demo)
– Lew W. S.

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3.

Fractions and Decimals

  • 1. Fraction Division1:　a ÷ b (Partitive)
  • 2. Comparing fractions using number lines and circles
  • 3. Comparing Fractions
  • 4. Fraction Division5:　x ÷ a/b (Quotitive)
  • 5. Fraction Division1:　a ÷ b (Partitive)
  • 6. fraction multiplication
  • 7. Fractions and Decimals
  • 8. Locating Fractions on a Number Line (1)
  • 9. Fraction Relationships with Visual Models
  • 10. Pedro's String (1)
  • 11. Illustrating Addition and Subtraction of Proper Fractions
  • 12. Fraction Division2:　p/q ÷ b (Partitive)
  • 13. Adding Fractions - Visual
  • 14. Improper Fractions and Mixed Numbers
  • 15. Division of fractions
  • 16. Multiplying and Dividing Fractions
  • 17. Dividing a Whole Number by a Fraction
  • 18. Addition gleichnamiger Brüche
  • 19. visualisation of fractions / Darstellung von Brüchen
  • 20. Množenje razlomaka / Multiplying fractions
  • 21. Expanding Fractions
  • 22. Ordenar fracciones
  • 23. Hexágono de fracciones
  • 24. Multiplying Fractions - Area Model
  • 25. Expanding and Reducing Fractions
  • 26. Positioning Fractions on the Number Line
  • 27. Fraction Division 2：a ÷ b（quotitive）
  • 28. Fraction Division 4：n ÷ a/b（quotitive）
  • 29. Fraction Division 3：a/b ÷ n（partitive）
  • 30. Fraction Multiplication
  • 31. Equivalent ftraction
  • 32. Comparing Fractions
  • 33. Operations between fractions: formative assessment
  • 34. Equivalent Fractions Puzzle
  • 35. Area Models for Improper Fractions
  • 36. Add Fractions using Area models
  • 37. Multiplication de fractions
  • 38. Comparing Fractions
  • 39. Fractions and hours
  • 40. Expanding and Reducing Fractions
  • 41. Ordering Simple Fractions
  • 42. Equivalent fractions with area model
  • 43. Equivalent fractions with number lines
  • 44. Fraction Workbench - decomposing fractions
  • 45. Fractions Division
  • 46. Equivalent Fractions
  • 47. Proof without words: Division of fractions
  • 48. Division of fractions with Patrick
  • 49. Fraction and Division
  • 50. Decimal Multiplication
  • 51. Place Value for Decimals
  • 52. Translating between decimal and percentage
  • 53. Arranging fractions, decimals, and percents
  • 54. Locating fractions and decimals on a number line
  • 55. Locating decimals on a number line
  • 56. IM Grade 6 Math: Unit 5 - Arithmetic in Base Ten
  • 57. Division is Repeated Subtraction
  • 58. Fraction Division
  • 59. Multiplication of Fractions Visualized

3.1.

Fraction Division1:　a ÷ b (Partitive)

(a)　How many pizzas will each person receive if 1 pizza is divided among: [br]　　(i) 2 people; 　(ii) 3 people;　(iii) 4 people?[br][br](b)　How many pizzas will each person receive if each of the following numbers of pizzas are divided among 3 people?[br]　　(i) 2 pizzas 　(ii) 4 pizzas　(iii) 5 pizzas[br][br]In general, how would you calculate a ÷ b ?
中文版：http://www.geogebratube.org/student/m14540[br]Anthony Or. GeoGebra Institute of Hong Kong.[br]orchiming@gmail.com
– Anthony OR 柯志明

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4.

Speed

  • 1. Distance Time Graph For Self Directed Learning
  • 2. Speed, Distance & Time in Motion (RACE CAR)

4.1.

Distance Time Graph For Self Directed Learning

Visualize the Distance Time Graph (Self Directed Learning)
Use the ShowViewScaleControls checkbox to display other controls for adjusting the distance time graph for any problem you wish to understand and solve
– Lew W. S.

4.2.

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5.

Proportion and Rate

  • 1. Bar Model for Problems on Ratio Rate Direct Proportion
  • 2. Solving Proportions

5.1.

Bar Model for Problems on Ratio Rate Direct Proportion

Use this applet to understand arithmetic problems related to rate, ratio, direct proportion.[br][br]Do you know why when we do arithmetic involving ratio, rate and direct proportion[br]we always divide to a single unit of the item on the left before multiplying to get the answer?[br][br]After manipulating and exploring the Bar Model applet below, do you get the concept now?
– Lew W. S.

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6.

Percentage

  • 1. Solving percents with a bar model

6.1.

Solving percents with a bar model

Using the Singapore Bar Model to understand three different ways to solve a percent problem.
– Duane Habecker

7.

Geometry

  • 1. Types of Triangles
  • 2. Area of Circles
  • 3. Tangram Construction
  • 4. Symmetry Exercises for Kids
  • 5. Acute Obtuse or Reflex Angles
  • 6. Geogebra Book on Recognize, Name and Sort Geometric Figures

7.1.

Types of Triangles

Drag point C. [br][br]Create the different types of triangles: scalene, acute, isosceles, obtuse, equilateral, right.
This application shows approximations of ideal types.
– GeoGebra Materials Team

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8.

Numbers

  • 1. nlhukhlTwo-digit whole numbers
  • 2. Three-digit whole numbers
  • 3. Telling Time to 5 minutes
  • 4. Part-Part-Whole Model using Bar and Circles
  • 5. Part-Part-Whole Estimation
  • 6. Number Trick : Deducing the Algebraic Expression Behind the Trick
  • 7. The Long Division Process
  • 8. TG Long Division with Whole Numbers
  • 9. IM 6.5.10 Lesson: Using Long Division
  • 10. IM 6.5.10 Practice: Using Long Division

8.1.

nlhukhlTwo-digit whole numbers

Visualizing the meaning of two-digit numbers.
(Try moving the black slider.)
– Roy Wright

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8.10.

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9.

Links to Other Primary Math Geogebra Books

  • 1. Geogebra Resources by Others on Primary Mathematics

9.1.

Geogebra Resources by Others on Primary Mathematics

Jessica's Fraction Book[br][url=https://www.geogebra.org/m/edxwq9jv]https://www.geogebra.org/m/edxwq9jv[/url][br][br]Elementary School Applets[url=https://www.geogebra.org/material/show/id/rSjV8S8q][br]https://www.geogebra.org/material/show/id/rSjV8S8q[/url][br][br]HTML5 Collection for Primary Mathematics[br][url=https://www.geogebra.org/material/show/id/aHUtYYRK]https://www.geogebra.org/material/show/id/aHUtYYRK[/url]  (Tablet friendly applets)[br][br]Frazioni, percentuali by [url=https://www.geogebra.org/u/leucotea]leucotea[/url][br][url=https://www.geogebra.org/m/HjGAVbR2]https://www.geogebra.org/m/HjGAVbR2[br][br][/url]EngageNY / Eureka Math by [url=https://www.geogebra.org/u/dhabecker]Duane Habecker[/url][br][url=https://www.geogebra.org/m/ua4yNy75]https://www.geogebra.org/m/ua4yNy75[br][br][/url]Primary Math Contests by [url=https://www.geogebra.org/u/msalee]Arthur Lee[/url][br][url=https://www.geogebra.org/m/D4pCGA6D]https://www.geogebra.org/m/D4pCGA6D[br][br][/url]HTML5 collection from Primary Contest by [url=https://www.geogebra.org/u/geogebra+institute+of+hong+kong]GeoGebra Institute of Hong Kong[br][/url][url=https://www.geogebra.org/m/vEXSFTNk]https://www.geogebra.org/m/vEXSFTNk[br][br][/url]Elementary School Math: 300+ Resources by [url=https://www.geogebra.org/u/geogebrateam]GeoGebra Team[br][/url][url=https://www.geogebra.org/m/xnrmmkjt]https://www.geogebra.org/m/xnrmmkjt[/url]
– Lew W. S.

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