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Mathematics
Facilitator’s guide
Grade 4
LESSON ELEMENTS
The guide consists of various lesson elements. Every element is important for the learning process and indicates the skill that the learner needs to master.
ICON
LESSON ELEMENT
Think for yourself Tips Research Study
SAMPLE
New concept or definition
Remember/Revise
Take note! Important Self-assessment
Activity
INTRODUCTION
Grade 4 learners are entering a new phase in their school careers and are being introduced to the concept of self-study for the first time. The study guide and the facilitator’s guide are written to guide learners and facilitators through the process and lay the foundation for future academic success. It is important to remember that the facilitator’s support is still crucial to help learners gain self-confidence to master the new challenges.
The study guide is written in a friendly and informal manner to involve learners and make the subject accessible and interesting. It consists of theory, activities and research activities. All activities in the study guide must be completed to help learners understand and apply the new knowledge.
After each lesson, learners must complete an individual self-assessment. Use the assessment to determine whether learners still need help with a particular lesson, and address the gap immediately. It may also be used to plan enrichment activities. Once learners have mastered the concepts in each lesson, additional enrichment activities may be completed.
The facilitator’s guide guides the facilitator to support the learners so that the theory of mathematics is well established at the end of each lesson. Many of the lessons have a practical component which the facilitator must present. Use the guidelines in the facilitator’s guide.
The study guide and facilitator’s guides are divided into four units. You are encouraged to complete one unit per term.
Do 10 minutes of mental arithmetic every day. Use the supplementary Train Your Brain Maths Grade 4 product.
The CAMI exercise programme (www.camiweb.com) is recommended for revision and additional practice.
This product consists of:
SAMPLE
• A facilitator’s guide
• Two study guides: Units 1 and 2 are in study guide 1/2 and units 3 and 4 are in study guide 2/2.
• Train Your Brain Maths Grade 4 (for mental arithmetic)
TIME MANAGEMENT
The time allocation per topic is merely a guideline and may be adapted according to the learners’ pace. It is important, however, to know which lessons must be completed before any test or exam can be attempted.
Learners must spend six hours per week on mathematics. Take note that this does not include all activities, assessments and examinations. If learners are working at a pace slower than the allotted time, make the necessary adjustments so that they can still complete all the work in time.
It is also crucial that the learners do not progress to the next topic before they have a thorough understanding of the current topic. It is important to do revision until they have fully mastered the new concepts. Grade 4 is the start of a new phase and the last opportunity for learners to master the basics of mathematics.
Guidelines for time allocation per topic
UNIT 1
TOPIC
Mental maths: Use the Train Your Brain Maths Grade 4 product
LESSON 1
Whole numbers: Counting, ordering, comparing and representing, and place value of digits (3-digit whole numbers)
2
3
numbers: Addition and subtraction (3-digit whole numbers)
4
Number patterns: Numeric patterns
LESSON 5
Whole numbers: Multiplication and division (1-digit whole number by 1-digit whole number)
LESSON 6
LESSON 7 Data handling
8
Properties of 2D shapes
9
Whole numbers:
• Multiply (2-digit whole numbers by 1-digit whole number)
• Multiply (2-digit whole numbers by 2-digit whole numbers)
(divided into 10 minutes every day)
• Divide (2-digit whole numbers by 1-digit whole number) 5
Revision: Use the CAMI programme
UNIT 2
Mental maths: Use the Train Your Brain Maths Grade 4 product
hours (divided into 10 minutes every day) LESSON 10
Whole numbers: Counting, ordering, comparing and representing, and place value of digits (4-digit whole numbers)
LESSON 11
Whole numbers: Addition and subtraction (4-digit whole numbers)
12
14
numbers: Multiplication (2-digit whole numbers by 2-digit whole numbers)
15
18
numbers: Addition and subtraction (4-digit whole numbers)
Mental maths: Use the Train Your Brain Maths Grade 4 product
22
Whole numbers: Counting, ordering, comparing and representing, and place value of digits (4-digit whole numbers) Whole numbers: Addition and subtraction (4-digit whole numbers)
Mental maths: Use the Train Your Brain Maths Grade 4 product
(divided into 10 minutes every day) LESSON 31
Whole numbers: Counting, ordering, comparing and representing, and place value of digits (4-digit whole numbers) Whole numbers: Addition and subtraction (4-digit whole numbers)
Find unit 1 and 2 in study guide 1/2 and unit 3 and 4 in study guide 2/2.
ASSESSMENT REQUIREMENTS
Formal assessment tasks and tests form part of a year-long formal assessment programme.
Formal assessment tasks and tests count 75% of the final mark and the November examinations count 25%.
Always refer to the assessment plan for the formal assessments that must be completed per term. (This excludes the activities and investigations in the study guide.)
SAMPLE
YEAR PLAN
UNIT 1
TOPIC DATE
Mental maths: Use the Train Your Brain Maths Grade 4 product
LESSON 1
Whole numbers: Counting, ordering, comparing and representing, and place value of digits (3-digit whole numbers)
LESSON 2
Number sentences
LESSON 3
Whole numbers: Addition and subtraction (3-digit whole numbers)
LESSON 4
Number patterns: Numeric patterns
LESSON 5
Whole numbers: Multiplication and division (1-digit whole number by 1-digit whole number)
LESSON 6
Time
LESSON 7
Data handling
LESSON 8
Properties of 2D shapes
LESSON 9
Whole numbers:
• Multiply (2-digit whole numbers by 1-digit whole number)
• Multiply (2-digit whole numbers by 2-digit whole numbers)
• Divide (2-digit whole numbers by 1-digit whole number)
Revision: Use the CAMI programme
UNIT 2
TOPIC
Mental maths: Use the Train Your Brain Maths Grade 4 product
LESSON 10
Whole numbers: Counting, ordering, comparing and representing, and place value of digits (4-digit whole numbers)
LESSON 11
Whole numbers: Addition and subtraction (4-digit whole numbers)
LESSON 12
Common fractions
LESSON 13
Length
LESSON 14
Whole numbers: Multiplication (2-digit whole numbers by 2-digit whole numbers)
LESSON 15
Properties of 3D shapes
LESSON 16
Geometric patterns
SAMPLE
LESSON 17
Symmetry
LESSON 18
Whole numbers: Addition and subtraction (4-digit whole numbers)
LESSON 19
Whole numbers: Division (3-digit whole numbers by 1-digit whole number)
Revision: Use the CAMI programme
UNIT 3
TOPIC
Mental maths: Use the Train Your Brain Maths Grade 4 product
LESSON 20
Capacity/Volume
LESSON 21 Common fractions
LESSON 22
Whole numbers: Counting, ordering, comparing and representing, and place value of digits (4-digit whole numbers)
Whole numbers: Addition and subtraction (4-digit whole numbers)
LESSON 23
Views of objects
LESSON 24 Properties of 2D shapes
LESSON 25 Data handling
LESSON 26 Numerical patterns
LESSON 27
SAMPLE
Whole numbers: Addition and subtraction (4-digit whole numbers)
LESSON 28
Whole numbers: Multiplication (2-digit whole numbers with 2-digit whole numbers)
LESSON 29 Number sentences
LESSON 30 Transformations
Revision: Use the CAMI programme
UNIT 4
TOPIC
Mental maths: Use the Train Your Brain Maths Grade 4 product
LESSON 31
Whole numbers: Counting, ordering, comparing and representing, and place value of digits (4-digit whole numbers)
Whole numbers: Addition and subtraction (4-digit whole numbers)
LESSON 32
Mass
LESSON 33
Properties of 3D objects
LESSON 34
Common fractions
LESSON 35
Whole numbers: Division (3-digit whole numbers by 1-digit whole number)
LESSON 36
Perimeter, surface area and volume
LESSON 37
Position and movement
LESSON 38
Transformations
LESSON 39
Geometric patterns
LESSON 40
Whole numbers: Addition and subtraction (4-digit whole numbers)
LESSON 41
Probability
Revision: Use the CAMI programme
UNIT 1
This unit covers nine lessons: Lessons 1 to 9. The table indicates the lesson topics as well as the time you will spend on each one.
UNIT 1
TOPIC TIME AND NOTES
Mental maths: Use the Train Your Brain Maths Grade 4 product 8 hours (divided into 10 minutes every day)
LESSON 1
Whole numbers: Counting, ordering, comparing and representing, and place value of digits (3-digit whole numbers)
2
LESSON 3 Whole numbers: Addition and subtraction (3-digit whole numbers)
4
patterns: Numeric patterns
5
Whole numbers: Multiplication and division (1-digit whole number by 1-digit whole number)
6
7
LESSON 8 Properties of 2D shapes 5
LESSON 9
Whole numbers:
• Multiply (2-digit whole numbers by 1-digit whole number)
• Multiply (2-digit whole numbers by 2-digit whole numbers)
• Divide (2-digit whole numbers by 1-digit whole number)
Revision: Use the CAMI programme
LESSON 1: WHOLE NUMBERS
In this lesson learners will work with different notations of numbers for the first time. It is important to ensure that learners understand notations. It lays the foundation for the language of mathematics and if learners are already comfortable with this, it can simplify the introduction of new mathematical concepts. In this lesson, learners will work with whole numbers and do the following:
• count
• order
• compare
• represent
• indicate place value (which is very important for the calculations that will be done later in the term)
Do you know what a whole number is?
Whole numbers are numbers without fractions or decimals. Whole numbers are always positive and never negative. Remember: 0 is also a whole number.
Learners were introduced to whole numbers in Grade 3, even if they did not necessarily call them whole numbers. Ensure that learners know that a whole number is not a fraction. Different games may be used to reinforce this concept.
Example
Write down different numbers, including fractions and whole numbers. Learners close their eyes and randomly point to a place on the page. They identify the number they chose as a whole number or not.
SAMPLE
Examples of whole numbers
{0; 1; 2; 3; 4; 5; 6; ...}
If numbers such as the above are placed in curly brackets { }, we call it a set of numbers. This means that {0; 1; 2; 3; 4; 5; 6; ...} is a set of whole numbers.
Study the numbers in the table and circle the whole numbers.
In this lesson, you will do the following with whole numbers:
• count
• order
• compare
• represent
• indicate place value
Counting with whole numbers
It is very important that the learners count every day – both on (forwards) and back (backwards). In the beginning, learners may count with a 100 chart, but when they have completed the lesson, they must be able to count without any help. (See the 100 chart at the back of this facilitator’s guide.)
Counting must not only be seen as oral counting – learners must understand the calculations that are happening to count on or back.
