Mathematics Grade 5 Lesson Plans Pdf

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Elementary Geometry for College Students

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Elementary Geometry for College Students

Alexander/Koeberlein

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Unformatted text preview: INTERMEDIATE PHASE GRADE 5 LESSON PLANS 2012 Platinum MATHEMATICS CONTENTS PAGE MATHEMATICS WORKSCHEDULE GRADE 5.....................................................................................3 TERM 1....................................................................................................................................................................... 3 TERM 2....................................................................................................................................................................... 4 TERM 3....................................................................................................................................................................... 5 TERM 4....................................................................................................................................................................... 6 EXEMPLAR TEACHING PLAN– GRADE 5............................................................................................7 TOPIC 1: COUNT, ORDER, COMPARE AND REPRESENT WHOLE NUMBERS.......................................................7 TERM 1: PLATINUM LESSON PLANS – GRADE 5...........................................................................13 TOPIC 1: COUNT, ORDER, COMPARE AND REPRESENT WHOLE NUMBERS.....................................................13 TOPIC 2: NUMBER SENTENCES........................................................................................................................... 14 TOPIC 3: ADDITION AND SUBTRACTION............................................................................................................ 15 TOPIC 4: NUMERIC PATTERNS............................................................................................................................ 16 TOPIC 5: MULTIPLICATION AND DIVISION......................................................................................................... 17 TOPIC 6: TIME...................................................................................................................................................... 18 TOPIC 7: DATA HANDLING................................................................................................................................... 19 TOPIC 8: PROPERTIES OF 2D SHAPES............................................................................................................... 20 TOPIC 9: CAPACITY AND VOLUME...................................................................................................................... 21 TERM 2: PLATINUM LESSON PLANS – GRADE 5...........................................................................22 TOPIC 10: COUNT, ORDER, COMPARE AND REPRESENT WHOLE NUMBERS..................................................22 TOPIC 11: ADDITION AND SUBTRACTION......................................................................................................... 23 TOPIC 12: COMMON FRACTIONS........................................................................................................................ 24 TOPIC 13: LENGTH.............................................................................................................................................. 25 TOPIC 14: MULTIPLICATION.............................................................................................................................. 26 TOPIC 15: PROPERTIES OF 3D OBJECTS........................................................................................................... 27 TOPIC 16: GEOMETRIC PATTERNS..................................................................................................................... 28 TOPIC 17: SYMMETRY......................................................................................................................................... 29 TOPIC 18: DIVISION............................................................................................................................................. 30 TERM 3: PLATINUM LESSON PLANS – GRADE 5...........................................................................31 TOPIC 19: COMMON FRACTIONS........................................................................................................................ 31 TOPIC 20: MASS................................................................................................................................................... 32 TOPIC 21: COUNT, ORDER, COMPARE AND REPRESENT WHOLE NUMBERS..................................................33 TOPIC 22: ADDITION AND SUBTRACTION......................................................................................................... 34 TOPIC 23: VIEWING OBJECTS............................................................................................................................. 35 TOPIC 24: PROPERTIES OF 2-D SHAPES........................................................................................................... 36 TOPIC 25: TRANSFORMATIONS.......................................................................................................................... 37 TOPIC 26: TEMPERATURE................................................................................................................................... 38 TOPIC 27: DATA HANDLING................................................................................................................................ 39 TOPIC 28: NUMERIC PATTERNS......................................................................................................................... 40 TOPIC 29: MULTIPLICATION............................................................................................................................... 41 TERM 4: PLATINUM LESSON PLANS – GRADE 5...........................................................................42 TOPIC 30: COUNT, ORDER, COMPARE AND REPRESENT WHOLE NUMBERS..................................................42 TOPIC 31: ADDITION AND SUBTRACTION......................................................................................................... 43 TOPIC 32: PROPERTIES OF 3-D OBJECTS.......................................................................................................... 44 TOPIC 33: COMMON FRACTIONS........................................................................................................................ 45 TOPIC 34: DIVISION............................................................................................................................................. 46 TOPIC 35: PERIMETER, AREA AND VOLUME..................................................................................................... 47 TOPIC 36: POSITION AND MOVEMENT.............................................................................................................. 48 TOPIC 37: TRANSFORMATIONS.......................................................................................................................... 49 TOPIC 38: GEOMETRIC PATTERNS..................................................................................................................... 50 TOPIC 39: NUMBER SENTENCES........................................................................................................................ 51 TOPIC 40: PROBABILITY..................................................................................................................................... 52 2 MATHEMATICS WORKSCHEDULE GRADE 5 TERM 1 WEEKS 1 1–2 2 TOPIC TIME ALLOCATION AS PER CAPS Topic 1: Count, order, compare and represent whole numbers 2 hours Topic 2: Number sentences 3 hours Revision 5 hours 3 Topic 4: Numeric patterns 4 hours 4 Revision Topic 5: Multiplication and division 6 hours 5 Formal Assessment: Assignment – Find patterns 0.5 hours 6 Topic 6: Time Revision 6–8 Topic 7: Data handling 8–9 Topic 8: Properties of 2D shapes 9 Revision 1. 2. 3. 1. 2. Round off and estimate Add whole numbers Subtract whole numbers Patterns and flow diagrams Discover more numeric patterns 0.5 hours 4–5 56 1. Place value 2. Read, write and round off numbers 3. Count forwards and backwards 4. Compare and order numbers 1. Addition and subtraction number sentences 2. Division and multiplication number sentences 3. The order in a number sentence 4. Group numbers in different ways 5. Addition and subtraction facts 0.5 hours Topic 3: Addition and subtraction 2–3 UNITS WITHIN EACH TOPIC 1. Find factors and multiples 2. Multiply two-digit numbers 3. Divide whole numbers 4. Solve multiplication or division Problems 1. Read and write time 2. Convert units of time 3. Measure and calculate time 6 hours 0.5 hours 1. 2. 3. 4. 5. 1. 2. 3. 4. 10 hours 7 hours Collect , organise and display data Order data and find the mode Work through a data cycle Interpret and analyse data Think about where data comes from What is a 2D shape? Identify polygons Polygons and angles Describe and draw 2D shapes 0.5 hours 10 Topic 9: Capacity and volume 5 hours 10 Formal Assessment: Test 1 hour 1. Estimate capacity 2. Estimate, measure and record capacity 3. Compare, order and record capacities 4. Convert units of capacity 5. Calculate and solve problems that involve capacity 3 TERM 2 WEEKS TOPIC TIME ALLOCATION AS PER CAPS UNITS WITHIN EACH TOPIC 1 Topic 10: Count, order, compare and represent whole numbers 1 hour 1. Count, read and write whole numbers 2. Round off and compare whole numbers 1–2 Topic 11: Addition and subtraction 5 hours 1. Add whole numbers 2. Subtract whole numbers 3. Solve addition and subtraction problems 2 Revision 0.5 hours 2–3 Topic 12: Common fractions 5 hours 3–4 Topic 13: Length 7 hours 4 4–6 Revision 0.5 hours Topic 14: Multiplication 6 hours 6 Formal Assessment: Test 1 hour 6–7 Topic 15: Properties of 3D objects 6 hours 7 Revision Topic 16: Geometric patterns 4 hours 8 Topic 17: Symmetry 2 hours 8 Revision 10 1. Work with factors and multiples 2. Multiply three-digit numbers by two-digit numbers 3. Division is the inverse of multiplication 4. Solve multiplication problems 1. Recognise and name 3D objects 2. Construct models of 3D objects 3. Work with diagrams of 3D objects 0.5 hours 7–8 8 - 10 1. Name and recognise fractions 2. Equivalent fractions 3. Count, compare and order fractions 4. Make fractions by sharing and grouping 5. Add fractions 6. Solve problems that involve fractions 1. Estimate and measure length 2. Convert units of length 3. Calculate with units of length 4. Solve problems that involve length 1. Describe and extend geometric patterns 2. Investigate geometric patterns 1. Line symmetry 2. Rotational symmetry 0.5 hours Topic 18: Division 8 hours Formal Assessment: Exam practice 1 hour 1. 2. 3. 4. 5. 6. 4 Work with factors and multiples Use multiplication facts to divide Divide by a two-digit number Division with remainders Compare two quantities by dividing Solve problems that involve division TERM 3 WEEKS TOPIC TIME ALLOCATION AS PER CAPS 1–2 Topic 19: Common fractions 5 hours 2–3 Topic 20: Mass 5 hours 3 Revision 3 Topic 21: Count, order, compare and represent whole numbers 3–4 Topic 22: Addition and Subtraction 4 4–5 Revision 1. Add and subtract common fractions 2. Mixed numbers 3. Add and subtract mixed numbers 4. Solve problems that involve fractions 1. Estimate, measure and compare masses 2. Convert units of mass 3. Calculate with units of mass 4. Solve problems that involve mass 0.5 hours 1 hour 1. Round off numbers 2. Expand and compare whole numbers 5 hours 1. Add numbers in columns 2. Subtract numbers in columns 3. Solve addition and subtraction problems 0.5 hours Topic 23: Viewing objects 3 hours 5 Topic 24: Properties of 2D Shapes 4 hours 5 Revision 5–6 UNITS WITHIN EACH TOPIC 1. Identify objects from different viewpoints 2. Match the view with the position of the viewer 1. Identify, describe and compare 2D shapes 2. Draw 2D shapes 0.5 hours Topic 25: Transformations 3 hours 6 Topic 26: Temperature 2 hours 6 Revision 1. Use transformations to describe the movement of shapes 2. Use transformations to make composite shapes 1. Estimate temperature 2. Measure temperature 3. Read and order temperatures 0.5 hours 1. Collect , organise and display 7–8 8 Topic 27: Data handling 9 hours data 2. Find the mode 3. Work through a data cycle 4. Interpret and analyse data 5. Compare graphs Formal Assessment: Project – Data Handling 8–9 Topic 28: Numeric patterns 9 9 – 10 Revision Topic 29: Multiplication 5 hours 1. Create number patterns 2. Find the rule for a number pattern 3. Investigate number sequences 0.5 hours 7 hours 5 1. Multiples and factors 1. Multiply three-digit numbers by two digit numbers 3. Compare quantities 4. Solve multiplication problems 10 Formal Assessment: Test 1 hour 6 TERM 4 WEEKS TOPIC 1 Topic 30: Count, order, compare and represent whole numbers 1–2 Topic 31: Addition and subtraction 2 2–3 3–4 4 4 Revision Topic 32: Properties of 3D objects Topic 33: Common fractions Revision Formal Assessment: Assignment – Travelling times and distances TIME ALLOCATION AS PER CAPS 1 hour 1. Round off large numbers 2. More practice with whole numbers 5 hours 1. Add numbers in columns 2. Subtract numbers in columns 3. Solve addition and subtraction Problems 0.5 hours 5 hours 5 hours 0.5 hours Topic 34: Division 7 hours 6–7 Topic 35: Perimeter, area and Volume 7 hours 7 7–8 8 8 Revision Topic 36: Position and movement Topic 37: Transformations Revision Formal Assessment: Investigation – Palindromes 1. 2. 3. 4. 1. 2. 3. 4. 5. Factors and multiples Inverse operations Use a clue board for division Solve division problems Measure perimeter Calculate perimeter Area Volume Find the volume of a container 0.5 hours 2 hours 4 hours 1. Locate positions on a grid 2. Locate positions on a map 3. Use transformations to create tessellations 4. Describe patterns around us 0.5 hours 0.5 hours Topic 38: Geometric patterns 2 hours 9 Topic 39: Number sentences 3 hours 9 Revision 10 Topic 40: Probability 2 hours Formal Assessment: Exam Practice 1 hour 8–9 1. Recognise and name 3D objects 2. Sort and compare 3D objects 3. Compare and order fractions 4. Calculate fractions of whole numbers 5. Solve problems that involve fractions 0.5 hours 4–5 7 UNITS WITHIN EACH TOPIC 1. Extend a geometric pattern 2. Change the shape of a geometric pattern 3. A different type of geometric pattern 4. Another type of pattern 1. Use number sentences to solve problems 2. Multiple choice questions 0.5 hours 7 1. List possible outcomes of experiments 2. Record outcomes of experiments 8 Subject: Mathematics EXEMPLAR TEACHING PLAN– GRADE 5 Grade: 5 Topic 1: Count, order, compare and represent whole numbers Duration: 2 hours CAPS Conten t Term 1, Week 1 NUMBERS, OPERATIONS AND RELATIONS HIPS 1.1 Whole numbers Counting, Ordering Comparing Place value of digits Unit 1: Place value Unit 2: Read, write and round off numbers Unit 3: Count forwards and backwards Unit 4: Compare and order numbers LEARNING ACTIVITY LESSON 1: Unit 1: Place value TEACHING METHODS / APPROACH Duration: 60 minutes Preparation and suggested resources The following resources will be useful for learners to understand the value of each digit that makes up a whole number: • place value cards • number lines • whiteboards • whiteboard markers • place value tables. Common errors and misconceptions: • Learners sometimes have difficulty in crossing the place value bridges from 9 000 to 10 000 and from 10 000 to 100 000. Practice counting forwards and backwards from various starting points and in different multiples. • Use the place value cards and place value table to assist the learners that find working with larger numbers difficult. Key words whole number place value digit Teaching guidelines 1. Ask the learners for a three-digit number to write on the board. Ask a volunteer to read the number out loud. 2. Now draw a place value table underneath the number and ask the learners to work out what the value of each number will be. Learners may use their place value cards to help them. 3. Explain a few examples on the board and write a number on the place value table. Ask the class to work out the place value and/or value of each digit. 4. Reinforce the learners' understanding with questions such as, 'What is the value of the 6 in this number?' 5. Read through the examples in the Learner's Book on page 4, which 9 RESOURCES Platinum Mathematics Grade 5 Learner's Book and Teacher's Guide DBOE Mathematics Grade 5 Workbook Term 1 and 2 Place value cards, number lines, whiteboards, whiteboard markers, place value tables explains place value and value. Once the learners know how to use the place value table confidently, allow them to sit in groups and play with four-digit numbers. 6. Monitor their progress. Lesson 2: Unit 2: Read, write and round off numbers Support and extension Learners can now complete Exercise 1.1, Questions 1, 2 and 3 on page 4 in the Learner's Book. Once learners have completed Exercise 1.1, they can attempt the Challenge on page 4 in the Learner's Book. Learners can work in pairs or individually. Mental Maths 10 minutes (TG page 180) Exercise 1.1 (LB page 4) Incorporate the exercises in the DBOE Workbook Term 1 and 2 (page 2) Duration: 30 minutes Preparation and suggested resources The following resources will be useful for learners to understand the value of each digit that makes up a whole number: • place value cards • number lines • whiteboards • whiteboard markers • place value tables. Common errors and misconceptions: Learners sometimes have difficulty in crossing the place value bridges from 9 000 to 10 000 and from 10 000 to 100 000. Practise counting forwards and backwards from various starting points and in different multiples. Use the place value cards and place value table to assist the learners who have difficulty with larger numbers. Learners either miss 'hidden' zeros or put in too many, for example, learners write 15 057 as 15 57 or 15 00057. Ask them to practise looking carefully at each placeholder, making sure there is a digit in every place, even if it is a zero. Key words rounding estimate Teaching guidelines 1. Call out some numbers for learners to write down, for example: four hundred and seventy six, and include numbers that have zeros in them, such as one thousand and sixty-six. 2. Ask volunteers to write the numbers on the board. Play 'Guess my number' whereby you think of a number and the learners use ten or twenty questions to identify the number. They can only ask one question at a time, to which the answer is either 'yes' or 'no', for example 'Is it tens' digit less than 5?', 'Does it have more than six hundreds?' and 'Is its thousands' digit even?' You can either let the learners know how many digits the number has, or make them guess that as well. 3. To make this activity more exciting, you can divide the class into two teams so that they can compete against each other. The fewer questions asked before the number is correctly guessed, the higher the 'score' for 10 the team. 4. Do Exercise 1.2 Question 1 orally, or ask the learners to work in pairs to practice saying the numbers. 5. Ask the learners to complete Question 2 orally before they write the numbers in words in their exercise book. 6. Read through the 'Did you know?' feature on page 6 of the Learner's Book. This shows how the Zulu people use the fingers of both hands to name the numbers from one to ten. 7. Learners should then complete Question 3 and Exercise 1.3 in their exercise books. Lesson 3: Unit 3: Count forwards and backwards Support and extension Ask learners to write down ten four-digit numbers. They must then write out the ten numbers in words. You will have to mark their work to ensure that they understand this section of work. Read through the 'Did you know?' feature on page 6 in the Learner's Book. Mental Maths 10 minutes (TG page 180) Exercise 1.2 & 1.3 (LB page 5) Incorporate the exercises in ...
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