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FRACTIONS, DECIMALS AND
                               PERCENT
    	                                 GRADE 5 @ CANADIAN INTERNATIONAL SCHOOL OF HONG KONG

          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
                                                                                Guidelines
                                                             1. You need to complete learning engagements in each conceptual
creating your own Mathematical
                                                                area.
Glossary. You are responsible for
working on this independently and to                         2. You need to complete the Google Form when instructed by Mr.
                                                                MacPherson. Be sure to complete it fully, with details and
submit this at the completion of the unit.                      examples, as a way of demonstrating your learning. This also
You will also track your progress on a                          includes conferences with Mr. MacPherson
Google Form.
                                                             3. You can choose where to show your work (notebook, paper,
----------------------------------------------------------      computer), depending on the type of task.
Assessment will be based on the
                                                             4. You need to keep a Mathematical Glossary of terms that you
completion of your Mathematical
                                                                come across in this unit. Keep this Glossary as a Google Doc. You
Glossary, Investigations and                                    are free to include images and diagrams in this glossary.
reflections on the Google Form. Refer to
the success criteria below.



                                                       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
RELATED              TUNING IN                       FINDING OUT                      SORTING OUT                  GOING FURTHER
  CONCEPTS                                                                                                            AND DRAWING
                                                                                                                       CONCLUSIONS


                  Use the following resources:     Mathematical Glossary            For each of the conceptual     You are required to track
                                                                                    areas you need to              your progress and
                  Kahn Academy (parts of a         Skills Development: All          communicate your               understandings in the
                  fraction, proper and             Kahn Academy videos have         understandings. You may        Google Form. You will
                  improper, converting,            practice links.                  choose to do one of the        complete this when
                  converting)                                                       following or you may           instructed by Mr.
Improper                                           Mastering Fractions (many        approach Mr. MacPherson        MacPherson.
                  Mixed to fraction tutorial       resources), Variety, 75
fractions and                                                                       with ideas of your own. For
                                                   Activities and Resources
mixed numbers                                                                       each presentation, you are
                  Fraction to mixed tutorial
                                                                                    required to be organized,
                                                                                    analytical and clear in how    You are also welcome to
                  Improper & Mixed tutorial                                                                        extend your
                                                                                    you communicate your
                  v.2                                                                                              understandings through
                                                                                    understandings.
                                                                                    Remember, for each             the following learning
                                                                                                                   engagements:
                                                                                    presentation you need to be
                                                                                    sure you are
                  Use the following resources:     Mathematical Glossary                                           1. Math Mavens Mysteries
                                                                                    communicating your
                                                                                                                      (explain your answers):
                  Kahn Academy                     Skills Development: All          understandings.
                                                                                                                      Virtual Pet 2000, Pirate
                  (equivalence, simplifying,       Kahn Academy videos have
                                                                                                                      Ringold’s Lost Treasure,
                  ordering and comparing 1         practice links.                  Some options include.
                  & 2)                                                                                                The Cajun Chili Pepper
                                                   Fresh Baked Fractions,
Equivalence,                                                                        1. Create a poster
                  Equivalence tutorial             Math.com, Worksheets &                                          2. Nrich Math (choose your
simplifying and                                    Games, Mastering
                                                                                    2. Write/record a song or         own problems). Watch
                  Simplifying tutorial             Fractions (many
ordering                                           resources), Booster,                rap                            out, these can be
fractions         Comparing tutorial               Variety, 75 Activities and                                         challenging (explain
                                                   Resources                                                          your answers).
                                                                                    3. Create your own tutorial
                                                   That Quiz:                          using your computer
                                                                                       and/or Voicethread          3. Design your own
                                                   Simplify: L. 3, L.4, L.6, L.10                                     investigation about
                                                                                    4. Write/record a poem            fractions
                                                   Compare: L.3, L.4, L.6, L.10
                                                                                    5. Write a set of
                  Use the following resources:     Mathematical Glossary
                                                                                       instructions (procedural
                  Kahn Academy                     Skills Development: All             writing)
                  (multiplication 1 & 2,           Kahn Academy videos have
                                                                                    6. Make a game based on
                  division 1 & 2, addition 1, 2,   practice links.
                                                                                       one conceptual areas
                  3, & 4, subtraction 1, 2, 3 &
                  4)                               Mastering Fractions (many
Operations with                                                                     7. Create a play or story in
                                                   resources), Variety, 75
                                                                                       which the characters
fractions         Addition tutorial                Activities and Resources,
                                                                                       represent concepts from
                                                   Math.com, Games!
                  Subtraction tutorial                                                 this unit.
                                                   That Quiz:
                  Multiplication tutorial (and
                  here)                            L.3, L.4., L. 6, L.10

                  Division tutorial (and here)

                  Use the following resources:     Mathematical Glossary

                  Kahn Academy (decimals &         Skills Development: All
                  fractions, converting            Kahn Academy videos have
                  decimals to fractions, ratios    practice links.
Relationships     as fractions, meaning of %,
between           relationships, relationships     Large Variety, Variety, 75
                  2)                               Activities and Resources,
fractions,
                                                   Math.com, Games!
decimals and
percent                                            That Quiz:

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

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Inquiry into fractions, decimals, percent

  • 1. FRACTIONS, DECIMALS AND PERCENT GRADE 5 @ CANADIAN INTERNATIONAL SCHOOL OF HONG KONG 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 Guidelines 1. You need to complete learning engagements in each conceptual creating your own Mathematical area. Glossary. You are responsible for working on this independently and to 2. You need to complete the Google Form when instructed by Mr. MacPherson. Be sure to complete it fully, with details and submit this at the completion of the unit. examples, as a way of demonstrating your learning. This also You will also track your progress on a includes conferences with Mr. MacPherson Google Form. 3. You can choose where to show your work (notebook, paper, ---------------------------------------------------------- computer), depending on the type of task. Assessment will be based on the 4. You need to keep a Mathematical Glossary of terms that you completion of your Mathematical come across in this unit. Keep this Glossary as a Google Doc. You Glossary, Investigations and are free to include images and diagrams in this glossary. reflections on the Google Form. Refer to the success criteria below. 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
  • 2. RELATED TUNING IN FINDING OUT SORTING OUT GOING FURTHER CONCEPTS AND DRAWING CONCLUSIONS Use the following resources: Mathematical Glossary For each of the conceptual You are required to track areas you need to your progress and Kahn Academy (parts of a Skills Development: All communicate your understandings in the fraction, proper and Kahn Academy videos have understandings. You may Google Form. You will improper, converting, practice links. choose to do one of the complete this when converting) following or you may instructed by Mr. Improper Mastering Fractions (many approach Mr. MacPherson MacPherson. Mixed to fraction tutorial resources), Variety, 75 fractions and with ideas of your own. For Activities and Resources mixed numbers each presentation, you are Fraction to mixed tutorial required to be organized, analytical and clear in how You are also welcome to Improper & Mixed tutorial extend your you communicate your v.2 understandings through understandings. Remember, for each the following learning engagements: presentation you need to be sure you are Use the following resources: Mathematical Glossary 1. Math Mavens Mysteries communicating your (explain your answers): Kahn Academy Skills Development: All understandings. Virtual Pet 2000, Pirate (equivalence, simplifying, Kahn Academy videos have Ringold’s Lost Treasure, ordering and comparing 1 practice links. Some options include. & 2) The Cajun Chili Pepper Fresh Baked Fractions, Equivalence, 1. Create a poster Equivalence tutorial Math.com, Worksheets & 2. Nrich Math (choose your simplifying and Games, Mastering 2. Write/record a song or own problems). Watch Simplifying tutorial Fractions (many ordering resources), Booster, rap out, these can be fractions Comparing tutorial Variety, 75 Activities and challenging (explain Resources your answers). 3. Create your own tutorial That Quiz: using your computer and/or Voicethread 3. Design your own Simplify: L. 3, L.4, L.6, L.10 investigation about 4. Write/record a poem fractions Compare: L.3, L.4, L.6, L.10 5. Write a set of Use the following resources: Mathematical Glossary instructions (procedural Kahn Academy Skills Development: All writing) (multiplication 1 & 2, Kahn Academy videos have 6. Make a game based on division 1 & 2, addition 1, 2, practice links. one conceptual areas 3, & 4, subtraction 1, 2, 3 & 4) Mastering Fractions (many Operations with 7. Create a play or story in resources), Variety, 75 which the characters fractions Addition tutorial Activities and Resources, represent concepts from Math.com, Games! Subtraction tutorial this unit. That Quiz: Multiplication tutorial (and here) L.3, L.4., L. 6, L.10 Division tutorial (and here) Use the following resources: Mathematical Glossary Kahn Academy (decimals & Skills Development: All fractions, converting Kahn Academy videos have decimals to fractions, ratios practice links. Relationships as fractions, meaning of %, between relationships, relationships Large Variety, Variety, 75 2) Activities and Resources, fractions, Math.com, Games! decimals and percent That Quiz: Simplify: L.3, L.4, L.6, L.10