inquiry into fractions, decimals, percent

2
Learning Intentions In this stand-alone unit you will be investigating fractions, decimals and percent. Through these investigations you will gain a deeper understanding of the following: Improper fractions and mixed numbers Equivalence, simplifying and ordering fractions Operations with fractions Relationships between fractions, decimals and percent ---------------------------------------------------------- You will practice and track your skills using That Quiz and Mathletics as you proceed through these investigations. You will develop your knowledge by creating your own Mathematical Glossary. You are responsible for working on this independently and to submit this at the completion of the unit. You will also track your progress on a Google Form. ---------------------------------------------------------- Assessment will be based on the completion of your Mathematical Glossary, Investigations and reflections on the Google Form. Refer to the success criteria below. 1. You need to complete learning engagements in each conceptual area. 2. You need to complete the Google Form when instructed by Mr. MacPherson. Be sure to complete it fully, with details and examples, as a way of demonstrating your learning. This also includes conferences with Mr. MacPherson 3. You can choose where to show your work (notebook, paper, computer), depending on the type of task. 4. You need to keep a Mathematical Glossary of terms that you come across in this unit. Keep this Glossary as a Google Doc. You are free to include images and diagrams in this glossary. Guidelines FRACTIONS, DECIMALS AND PERCENT GRADE 5 @ CANADIAN INTERNATIONAL SCHOOL OF HONG KONG Success Criteria Describe the relationship between improper fractions and mixed numbers supported by examples of each Explain how to add, subtract, divide and multiply common fractions supported by examples of each Describe the relationship between common fractions, decimal fractions and percentage supported by examples of each Describe the concept of 'equivalence' using supporting examples Explain how to simplify and order fractions using examples Comment on real life applications of this unit in the world outside of the classroom Accurately describe mathematical terms used in this unit

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Page 1: Inquiry into fractions, decimals, percent

Learning Intentions

In this stand-alone unit you will be investigating fractions, decimals and percent. Through these investigations you will gain a deeper understanding of the following:

• Improper fractions and mixed numbers

• Equivalence, simplifying and ordering fractions

• Operations with fractions• Relationships between fractions,

decimals and percent----------------------------------------------------------You will practice and track your skills using That Quiz and Mathletics as you proceed through these investigations. You will develop your knowledge by creating your own Mathematical Glossary. You are responsible for working on this independently and to submit this at the completion of the unit. You will also track your progress on a Google Form. ----------------------------------------------------------Assessment will be based on the completion of your Mathematical

Glossary, Investigations and

reflections on the Google Form. Refer to the success criteria below.

1. You need to complete learning engagements in each conceptual area.

2. You need to complete the Google Form when instructed by Mr. MacPherson. Be sure to complete it fully, with details and examples, as a way of demonstrating your learning. This also includes conferences with Mr. MacPherson

3. You can choose where to show your work (notebook, paper, computer), depending on the type of task.

4. You need to keep a Mathematical Glossary of terms that you come across in this unit. Keep this Glossary as a Google Doc. You are free to include images and diagrams in this glossary.

Guidelines

FRACTIONS, DECIMALS AND PERCENT

GRADE 5 @ CANADIAN INTERNATIONAL SCHOOL OF HONG KONG

Success Criteria• Describe the relationship between improper fractions and mixed numbers supported by examples of each• Explain how to add, subtract, divide and multiply common fractions supported by examples of each• Describe the relationship between common fractions, decimal fractions and percentage supported by

examples of each• Describe the concept of 'equivalence' using supporting examples• Explain how to simplify and order fractions using examples• Comment on real life applications of this unit in the world outside of the classroom• Accurately describe mathematical terms used in this unit

Page 2: Inquiry into fractions, decimals, percent

RELATED CONCEPTS

TUNING IN FINDING OUT SORTING OUT GOING FURTHER AND DRAWING CONCLUSIONS

Improper fractions and mixed numbers

Use the following resources:

Kahn Academy (parts of a fraction, proper and improper, converting, converting)

Mixed to fraction tutorial

Fraction to mixed tutorial

Improper & Mixed tutorial v.2

Mathematical Glossary

Skills Development: All Kahn Academy videos have practice links.

Mastering Fractions (many resources), Variety, 75 Activities and Resources

For each of the conceptual areas you need to communicate your understandings. You may choose to do one of the following or you may approach Mr. MacPherson with ideas of your own. For each presentation, you are required to be organized, analytical and clear in how you communicate your understandings. Remember, for each presentation you need to be sure you are communicating your understandings.

Some options include.

1. Create a poster

2. Write/record a song or rap

3. Create your own tutorial using your computer and/or Voicethread

4. Write/record a poem

5. Write a set of instructions (procedural writing)

6. Make a game based on one conceptual areas

7. Create a play or story in which the characters represent concepts from this unit.

You are required to track your progress and understandings in the Google Form. You will complete this when instructed by Mr. MacPherson.

You are also welcome to extend your understandings through the following learning engagements:

1. Math Mavens Mysteries (explain your answers): Virtual Pet 2000, Pirate Ringold’s Lost Treasure, The Cajun Chili Pepper

2. Nrich Math (choose your own problems). Watch out, these can be challenging (explain your answers).

3. Design your own investigation about fractions

Equivalence, simplifying and ordering fractions

Use the following resources:

Kahn Academy (equivalence, simplifying, ordering and comparing 1 & 2)

Equivalence tutorial

Simplifying tutorial

Comparing tutorial

Mathematical Glossary

Skills Development: All Kahn Academy videos have practice links.

Fresh Baked Fractions, Math.com, Worksheets & Games, Mastering Fractions (many resources), Booster, Variety, 75 Activities and Resources

That Quiz:

Simplify: L. 3, L.4, L.6, L.10

Compare: L.3, L.4, L.6, L.10

For each of the conceptual areas you need to communicate your understandings. You may choose to do one of the following or you may approach Mr. MacPherson with ideas of your own. For each presentation, you are required to be organized, analytical and clear in how you communicate your understandings. Remember, for each presentation you need to be sure you are communicating your understandings.

Some options include.

1. Create a poster

2. Write/record a song or rap

3. Create your own tutorial using your computer and/or Voicethread

4. Write/record a poem

5. Write a set of instructions (procedural writing)

6. Make a game based on one conceptual areas

7. Create a play or story in which the characters represent concepts from this unit.

You are required to track your progress and understandings in the Google Form. You will complete this when instructed by Mr. MacPherson.

You are also welcome to extend your understandings through the following learning engagements:

1. Math Mavens Mysteries (explain your answers): Virtual Pet 2000, Pirate Ringold’s Lost Treasure, The Cajun Chili Pepper

2. Nrich Math (choose your own problems). Watch out, these can be challenging (explain your answers).

3. Design your own investigation about fractions

Operations with fractions

Use the following resources:

Kahn Academy (multiplication 1 & 2, division 1 & 2, addition 1, 2, 3, & 4, subtraction 1, 2, 3 & 4)

Addition tutorial

Subtraction tutorial

Multiplication tutorial (and here)

Division tutorial (and here)

Mathematical Glossary

Skills Development: All Kahn Academy videos have practice links.

Mastering Fractions (many resources), Variety, 75 Activities and Resources, Math.com, Games!

That Quiz:

L.3, L.4., L. 6, L.10

For each of the conceptual areas you need to communicate your understandings. You may choose to do one of the following or you may approach Mr. MacPherson with ideas of your own. For each presentation, you are required to be organized, analytical and clear in how you communicate your understandings. Remember, for each presentation you need to be sure you are communicating your understandings.

Some options include.

1. Create a poster

2. Write/record a song or rap

3. Create your own tutorial using your computer and/or Voicethread

4. Write/record a poem

5. Write a set of instructions (procedural writing)

6. Make a game based on one conceptual areas

7. Create a play or story in which the characters represent concepts from this unit.

You are required to track your progress and understandings in the Google Form. You will complete this when instructed by Mr. MacPherson.

You are also welcome to extend your understandings through the following learning engagements:

1. Math Mavens Mysteries (explain your answers): Virtual Pet 2000, Pirate Ringold’s Lost Treasure, The Cajun Chili Pepper

2. Nrich Math (choose your own problems). Watch out, these can be challenging (explain your answers).

3. Design your own investigation about fractions

Relationships between fractions, decimals and percent

Use the following resources:

Kahn Academy (decimals & fractions, converting decimals to fractions, ratios as fractions, meaning of %, relationships, relationships 2)

Mathematical Glossary

Skills Development: All Kahn Academy videos have practice links.

Large Variety, Variety, 75 Activities and Resources, Math.com, Games!

That Quiz:

Simplify: L.3, L.4, L.6, L.10

For each of the conceptual areas you need to communicate your understandings. You may choose to do one of the following or you may approach Mr. MacPherson with ideas of your own. For each presentation, you are required to be organized, analytical and clear in how you communicate your understandings. Remember, for each presentation you need to be sure you are communicating your understandings.

Some options include.

1. Create a poster

2. Write/record a song or rap

3. Create your own tutorial using your computer and/or Voicethread

4. Write/record a poem

5. Write a set of instructions (procedural writing)

6. Make a game based on one conceptual areas

7. Create a play or story in which the characters represent concepts from this unit.

You are required to track your progress and understandings in the Google Form. You will complete this when instructed by Mr. MacPherson.

You are also welcome to extend your understandings through the following learning engagements:

1. Math Mavens Mysteries (explain your answers): Virtual Pet 2000, Pirate Ringold’s Lost Treasure, The Cajun Chili Pepper

2. Nrich Math (choose your own problems). Watch out, these can be challenging (explain your answers).

3. Design your own investigation about fractions