Download ACTIVITY: To calculate by selecting operations

OpenStax-CNX module: m30963
1
ACTIVITY: To calculate by
selecting operations appropriate
to solving problems
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1 MATHEMATICS
2 Common and Decimal Fractions
3 Common Fractions
4 EDUCATOR SECTION
5 Memorandum
INTRODUCTION
The learning programme for grade six consists of ve modules:
1. Number concept, Addition and Subtraction
2. Multiplication and Division
3. Fractions and Decimal fractions
4. Measurement and Time
5. Geometry; Data handling and Probability
• It is important that educators complete the modules in the above sequence, as the learners will require
the knowledge and skills acquired through a previous module to be able to do the work in any subsequent
module.
COMMON AND DECIMAL FRACTIONS (LO 1; 2 AND 5)
LEARNING UNIT 1 FOCUSES ON COMMON FRACTIONS
• This module continues the work dealt with in grade 5. Addition and subtraction of fractions are
extended and calculation of a fraction of a particular amount is revised.
• Check whether the learners know the correct terminology and are able to use the correct strategies for
doing the above correctly.
• Critical outcome 5 (Communicating eectively by using visual, symbolic and /or language skills in a
variety of ways) is addressed.
∗ Version
1.1: Aug 3, 2009 5:42 am -0500
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OpenStax-CNX module: m30963
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• It should be possible to work through the module in 3 weeks.
• ** Activity 17 is designed as a portfolio task. It is a very simple task, but learners should do it neatly
and accurately. They must be informed in advance of how the educator will be assessing the work.
• LEARNING UNIT 2 FOCUSES ON DECIMAL FRACTIONS
• This module extends the work that was done in grade 5. Learners should be able to do rounding of
decimal fractions to the nearest tenth, hundredth and thousandth. Emphasise the use of the correct
method (vertical) for addition and subtraction. Also spend sucient time on the multiplication and
division of decimal fractions.
• As learners usually have diculty with the latter, you could allow 3 to 4 weeks for this section of the
work.
• ** Activity 19 is a task for the portfolio. The assignment is fairly simple, but learners should complete
it neatly and accurately. They must be informed in advance of how the educator will be assessing the
work.
6 LEANER SECTION
7 Content
7.1 ACTIVITY: To calculate by selecting operations appropriate to solving problems [LO 1.8.3]
You have to work in groups of three for this activity. Ask your educator for the paper that you will need.
Read the questions attentively and show the operations that you use for calculating the answers:
1. Mrs Samuels buys one third of a metre of pink material and ve sixths of a metre of purple material.
How many metres of material does she have to make cushions for her class?
2. The Jansen family is picnicking. If Dad eats a quarter of the food, Mom eats three eighths of it and
Sarah two eighths, will there be any left for you to eat?
3. The Grade 6 learners have been asked to establish a vegetable garden at the school. If they plant
half of the garden with carrots, two sixths with potatoes and one twelfth with spinach, what fraction of the
whole garden has been planted?
4. Because they have worked so hard in the garden, the classes are rewarded. The 6A class drinks four
and one fth litres of cold drink; the 6B class drinks ve and four tenths litres of cold drink and the 6C class
drinks three and two thirds litres. How many litres of cold drink did the school provide for the learners?
5. Explain how your group calculated the answers to the rest of the class.
6. Compare your methods. How do they dier?
7.1.1 TIME FOR SELF-ASSESSMENT
Assess your work on a scale of 1 - 4 by circling the appropriate number:
1 = not at all 2 = just a little 3 = good 4 = outstanding
CRITERIA
All group members participated in the activities.
Group members listened to one another.
Group members helped and encouraged each other.
Group members adhered to the instructions.
Each one had a chance to speak.
The group's work was neatly done.
The answers were calculated correctly.
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OpenStax-CNX module: m30963
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Table 1
8 Assessment
The learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and condence in solving problems.
Assessment Standard 1.8: We know this when the learner estimates and calculates by selecting and
using operations appropriate to solving problems that involve:
1.8.3 addition and subtraction of common fractions with denominators which are multiples of each other
and whole numbers with common fractions (mixed numbers);
Learning Outcome 1:
http://cnx.org/content/m30963/1.1/