MATHEMATICS LESSON PLAN GRADE 7 TERM 2: April - June DURATION: 1 Hour 1. TOPIC: COMMON FRACTIONS: Ordering, comparing and simplifying fractions (Lesson 1) 2. CONCEPTS & SKILLS TO BE ACHIEVED: By the end of the lesson learners should be able to: Compare and order common fractions, including specifically tenths and hundredths and extends to thousandths. 3. RESOURCES: 4. PRIOR KNOWLEDGE: Textbooks, DBE Workbook 1 Comparing common fractions Equivalent fractions 6. INTRODUCTION (Suggested time: 10 Minutes) 1. Complete the following by making the fractions equal. 2 * = 6 12 6 * b) = 22 11 20 * c) = 25 100 a) 2. Complete the pattern. a) 3 9 27 ; ; ;__ ;__;__ 4 12 36 b) 9 18 36 ; ; ;__;__;__ 11 22 44 c) 1 5 25 ; ; ;__;__;__ 7 35 175 7.LESSON PRESENTATION/DEVELOPMENT(Suggested time: 20 minutes) Teaching activities Divide learners into groups and present activities based on multiplication of whole numbers Example 1 Replace the * with < or > or = to make the statement true 4 6 4 6 * = < 5 7 5 7 72 5 72 5 b) * = > 100 10 100 10 7 7 900 900 c) * = < 8 1000 8 1000 a) Example 2 Write these fractions in an ascending order a) 13 1 25 4 26 14 25 16 1 4 25 13 ; ; ; = ; ; ; = ; ; ; 14 2 28 7 28 28 28 28 2 7 28 14 Learning activities (Learners are expected to:) discuss in groups and give feedback share their solutions with the whole class. b) 19 7 25 750 5 190 700 250 750 500 ; ; ; ; = 100 10 100 1000 10 1000 ; 1000 ; 1000 ; 1000 ; 1000 19 25 5 7 750 = 100 ; 100 ; 10 ; 10 ; 1000 ACTIVITY (Small groups) 1. Replace the * with < or > or = 11 * 12 3 b) * 4 5 c) * 8 a) 2. Rewrite the following fractions so that they all have the same denominator and then arrange the fractions in an ascending order. 4 1 3 ; ; 5 2 4 3 11 b) ; ; 4 12 a) c) 5 6 13 20 2 3 7 19 ; 10 20 5 2 7 ; ; 6 3 8 ; 50 2 20 7 6 ; ; ; ; 1000 10 1000 10 100 8. CLASSWORK(Suggested time: 15 minutes) DBE Workbook1: page 74 , No. 1 (a) – (c) and page 75 No. 3 (a – e) 9. CONSOLIDATION/CONCLUSION& HOMEWORK(Suggested time: 5 minutes) a) Emphasise that: Ordering means arranging in ascending or descending order and comparing two or more fractions means to determine which one is bigger or smaller. b) The primary purpose of Homework is to give each learner an opportunity to demonstrate mastery of mathematics skills taught in class. Therefore, Homework should be purposeful and the principle of ‘Less is more’ is recommended, i.e. give learners few high-quality activities that address variety of skills than many activities that do not enhance learners’ conceptual understanding. Carefully select appropriate activities from the Sasol-Inzalo Books, DBE workbooks and/or textbooks for learners’ homework. The selected activities should address different cognitive levels. Homework DBE Workbook 1: page 74, No. 1 (d) – (f); No 2 (a) – (e) MATHEMATICS LESSON PLAN GRADE 7 TERM 2: April - June DURATION: 1 Hour 5. TOPIC: COMMON FRACTIONS: Calculations using fractions (Lesson 2) 6. CONCEPTS & SKILLS TO BE ACHIEVED: By the end of the lesson learners should be able to: extend addition and subtraction to fractions where one denominator is not a multiple of the other. 7. RESOURCES: Textbooks, DBE Workbook 1, Sasol-Inzalo Book 1 Addition and subtraction of whole numbers 8. PRIOR KNOWLEDGE: Conversion of mixed numbers LCD 9. REVIEW AND CORRECTION OF HOMEWORK (suggested time: 10 minutes) Homework provides an opportunity for teachers to track learners’ progress in the mastery of mathematics concepts and to identify the problematic areas which require immediate attention. Therefore, it is recommended that you place more focus on addressing errors from learner responses that may later become misconceptions. 6. INTRODUCTION (Suggested time: 10 Minutes) Activity Simplify the following: 1 3 a) + 7 7 3 2 b) 4 4 1 4 + 2 6 5 7 d) 7 21 c) 7.LESSON PRESENTATION/DEVELOPMENT(Suggested time: 20 minutes) Teaching activities Worked examples Divide learners into small groups Simplify the following: Example 1 1 1 3 2 + = + 2 3 6 6 = 5 6 Example 2 2 1 1 5 6 + 1 = + 2 5 2 5 25 12 = + 10 10 37 10 7 =3 10 = Example 3 4 1 6 - 1 25 7 2 = 6 5 5 = 125 42 30 30 Learning activities (Learners are expected to:) discuss in their groups and give feedback share their solutions with the whole class. 83 30 23 =2 30 ACTIVITY (Small groups) = Calculate the following: 2 3 1 +1 + 3 3 4 2 3 1 b) 8 - 2 10 6 2 5 c) 13 -5 3 13 1 1 3 d) 3 + 2 - 2 4 6 8 a) 2 8. CLASSWORK(Suggested time: 15 minutes) DBE Workbook 1: page 81 No. 2 (a) – (f) 9. CONSOLIDATION/CONCLUSION& HOMEWORK(Suggested time: 5 minutes) c) Emphasise that: When adding and subtracting of common fractions with mixed numbers, learners must be able to convert mixed numbers to improper fractions. LCM (Lowest common multiple) is very important when adding and subtracting common fractions. d) The primary purpose of Homework is to give each learner an opportunity to demonstrate mastery of mathematics skills taught in class. Therefore, Homework should be purposeful and the principle of ‘Less is more’ is recommended, i.e. give learners few high-quality activities that address variety of skills than many activities that do not enhance learners’ conceptual understanding. Carefully select appropriate activities from the Sasol-Inzalo Books, DBE workbooks and/or textbooks for learners’ homework. The selected activities should address different cognitive levels. Homework Sasol-Inzalo book 1: page 163 no. 4 (c) - (h). MATHEMATICS LESSON PLAN GRADE 7 TERM 2: April - June DURATION: 1 Hour 10. TOPIC: COMMON FRACTIONS: Multiplication of common fractions (Lesson 3) 11. CONCEPTS & SKILLS TO BE ACHIEVED: By the end of the lesson learners should be able to: Find the fraction of a whole numbers Multiply common fractions, including mixed numbers, to fractions where one denominator is a multiple of another. 12. RESOURCES: not limited Textbooks, DBE Workbook 1 Multiplication of whole numbers Converting mixed numbers to improper fractions Finding fractions of whole numbers 14. REVIEW AND CORRECTION OF HOMEWORK (suggested time: 10 minutes) Homework provides an opportunity for teachers to track learners’ progress in the mastery of mathematics concepts and to identify the problematic areas which require immediate attention. Therefore, it is recommended that you place more focus on addressing errors from learner responses that may later become misconceptions. 13. PRIOR KNOWLEDGE: 6. INTRODUCTION (Suggested time: 10 Minutes) Activity Multiply the following fractions. d) 4 × 1 8 4 ×5 25 2 f) 7 × 9 e) 7.LESSON PRESENTATION/DEVELOPMENT (Suggested time: 20 minutes) Teaching activities Activity 1 Worked examples Learning activities (Learners are expected to:) discuss in their groups and give feedback Find the product of the following: 3 2 6 × = 4 5 20 3 = 10 1 8 1 8 e) 8 × = × = = 2 4 1 4 4 1 15 9 4 f) 7 × 1 = × 2 2 5 5 135 27 1 = = = 13 10 2 2 d) ACTIVITY 2 (Small groups) Multiply the following fractions 1 3 × 6 7 4 f) × 3 5 3 2 g) of 5 9 1 1 h) 5 × 7 3 2 2 2 1 i) 2 × 1 × 2 5 3 4 e) 8. CLASSWORK(Suggested time: 15 minutes) DBE Workbook1: page 84, No. 1 (a) – (f ) and page 85, No. 2 (a) – (f) share their solutions with the whole class. 9. CONSOLIDATION/CONCLUSION& HOMEWORK(Suggested time: 5 minutes) e) Emphasise that: When simplifying fractions, the common fractions must remain equivalent. f) The primary purpose of Homework is to give each learner an opportunity to demonstrate mastery of mathematics skills taught in class. Therefore, Homework should be purposeful and the principle of ‘Less is more’ is recommended, i.e. give learners few high-quality activities that address variety of skills than many activities that do not enhance learners’ conceptual understanding. Carefully select appropriate activities from the Sasol-Inzalo Books, DBE workbooks and/or textbooks for learners’ homework. The selected activities should address different cognitive levels. Homework DBE Workbook 1: page 86, No. 1 (a) – (f); page 87 No. 2 (a) – (f) MATHEMATICS LESSON PLAN GRADE 7 TERM 2: April - June DURATION: 1 Hour 15. TOPIC: COMMON FRACTIONS: Solving problems (Lesson 4) 16. CONCEPTS & SKILLS TO BE ACHIEVED: By the end of the lesson, learners should be able to : Solve problems in context involving common fractions and mixed numbers, including grouping, sharing, and finding fractions of whole numbers. 17. RESOURCES: DBE workbook 1, Sasol-Inzalo book 1, Textbooks 18. PRIOR KNOWLEDGE: addition, subtraction and multiplication of common fractions multiplication table up to at least 12 × 12 19. REVIEW AND CORRECTION OF HOMEWORK (suggested time: 10 minutes) Homework provides an opportunity for teachers to track learners’ progress in the mastery of mathematics concepts and to identify the problematic areas which require immediate attention. Therefore, it is recommended that you place more focus on addressing errors from learner responses that may later become misconceptions. 20. INTRODUCTION(Suggested time: 10 Minutes) Activity a) Calculate: b) Calculate: (2 2 7 7 2 + 3 ) - (1 +3 ) 5 10 5 10 3 of 50 5 c) 200 cars were parked at a stadium parking lot. 4 of the cars left the parking lot after the game. 5 How many cars were left after the game? 21. LESSON PRESENTATION/DEVELOPMENT(Suggested time: 20 minutes) Learning activities Teaching activities (Learners are expected to:) ACTIVITY 1 (Pairs) a) There are 600 learners in a school and 5 of them are in grade 7. 24 How many learners are in grade 7? b) Jabu rode 3 3 4 Wednesday and 4 km on his bike on Monday, 4 1 5 km on 1 on Friday. 4 Calculate solutions as pairs and present to the class (i) How many km has he covered all together? (ii) If he needs to complete 15 km in the week, how many more does he need to ride? c) Eddie bought a pair of jeans worth R950 discounted by 1 . 3 How much did Eddie pay for a pair of jeans? ACTIVITY 2 (Individually) 2 a) Calculate 5 of R230. b) Sasol-Inzalo book 1. Page 165, No. 6 and 7. Work out the solution MATHEMATICS LESSON PLAN GRADE 7 TERM 2: April - June DURATION: 1 Hour 22. TOPIC: COMMON FRACTIONS: Equivalent forms. (Lesson 5) 23. CONCEPTS & SKILLS TO BE ACHIEVED: By the end of the lesson learners should know and be able to: Recognize and use equivalent forms of common fractions with 1-digit or 2-digit denominators. Recognize equivalence between common fraction and decimal fraction forms of the same number Recognize equivalence between common fraction, decimal fraction and percentage forms of the same number 24. RESOURCES: Sasol-Inzalo book 1, DBE Workbook 1, texbooks Common Fractions Decimal Fractions Percentages 26. REVIEW AND CORRECTION OF HOMEWORK (suggested time: 10 minutes) Homework provides an opportunity for teachers to track learners’ progress in the mastery of mathematics concepts and to identify the problematic areas which require immediate attention. Therefore, it is recommended that you place more focus on addressing errors from learner responses that may later become misconceptions. 25. PRIOR KNOWLEDGE 27. INTRODUCTION (Suggested time: 10 Minutes) Divide learners into small groups. ACTIVITY Convert the following to percentages: a) b) 40 100 2 6 c) 2 3 4 Convert the following to percentages to common fractions: d) 80% e) 45% f) 12,5% 28. LESSON PRESENTATION/DEVELOPMENT (Suggested time: 20 minutes) Learning activities Teaching activities (Learners are expected to:) Worked Examples Write the simple forms of 25% and 50%. Answers: 25% or 50% or 25 100 50 100 or 0,25 or 1 4 or 0,5 or 1 2 Work in small groups to calculate the answers and present to the class ACTIVITY 1 Write the equivalent forms of the fractions. a) 2 4 = b) 8 10 = 4 c) ____ =14 ACTIVITY 2 Complete the following table. Common fraction 1 3 2 3 Decimal fraction 0,33 Percentage 1 33 % 3 0,66 60% 1 20 0,8 29. CLASSWORK (Suggested time: 15 minutes) Question 1 Write the next or previous equivalent fraction for: a) 4 5 b) 50 100 = = c) _____ = 50 100 Question 2 Copy and complete the below table. The first one has been done for you. Fraction 1 5 3 5 17 20 16 50 12 25 Equivalent Fraction 2 10 Decimal 0,2 Percentage 20% 8 CONSOLIDATION/CONCLUSION & HOMEWORK(Suggested time: 5 minutes) a) Emphasise that: Equivalent fractions are fractions which have the same value, even though they may look different. b) The primary purpose of Homework is to give each learner an opportunity to demonstrate mastery of mathematics skills taught in class. Therefore, Homework should be purposeful and the principle of ‘Less is more’ is recommended, i.e. give learners few high-quality activities that address variety of skills than many activities that do not enhance learners’ conceptual understanding. Carefully select appropriate activities from the Sasol-Inzalo Books,DBE workbooks and/or textbooks for learners’ homework. The selected activities should address different cognitive levels. Homework: DBE Workbook 1: Page 94, No. 2. MATHEMATICS LESSON PLAN GRADE 7 TERM 2: April - June DURATION: 1 Hour 30. TOPIC: AREA AND PERIMETER OF 2D SHAPES: Area and Perimeter (Lesson 6) 31. CONCEPTS & SKILLS TO BE ACHIEVED: By the end of the lesson learners should know and be able to calculate the perimeter of regular and irregular polygons DBE workbook 1, Sasol-Inzalo Book 1, textbooks 32. RESOURCES: 33. PRIOR KNOWLEDGE: Perimeter of polygons addition of whole numbers and decimals 34. REVIEW AND CORRECTION OF HOMEWORK (suggested time: 10 minutes) Homework provides an opportunity for teachers to track learners’ progress in the mastery of mathematics concepts and to identify the problematic areas which require immediate attention. Therefore, it is recommended that you place more focus on addressing errors from learner responses that may later become misconceptions. 35. INTRODUCTION (Suggested time: 10 Minutes) Activity : Revise with learners the following work done in Grade 6 by asking them to: define: Perimeter of a polygon: The sum of lengths of its sides or the distance along the sides of a shape. Define and give examples of the following polygons: Regular polygon: A polygon with all angles equal (equiangular) and all sides equal (equilateral). Irregular polygon: A polygon that does not have all sides and all angles equal. NOTE: At this stage learners should apply the definition of a perimeter to determine the perimeter of both regular and irregular polygons. Small lines on the sides of polygons indicate equality. 36. LESSON PRESENTATION/DEVELOPMENT (Suggested time: 20 minutes) Learning activities Teaching activities (Learners are expected to:) Present the following examples to learners by applying the definition of a be actively engaged during perimeter to determine the perimeter of a polygon: the lesson presentation by answering questions. Example 1: Calculate the perimeter of polygons: 2 𝑐𝑚 a) 2 𝑐𝑚 Do example 2 as an activity in their groups and discuss their solution with the whole class. 2 𝑐𝑚 2 𝑐𝑚 Perimeter = 2 𝑐𝑚 + 2 𝑐𝑚 + 2 𝑐𝑚 + 2𝑐𝑚 = 8 𝑐𝑚 5 𝑐𝑚 b) 2 𝑐𝑚 2 𝑐𝑚 5 𝑐𝑚 Perimeter = 2 𝑐𝑚 + 5 𝑐𝑚 + 2 𝑐𝑚 + 5 𝑐𝑚 = 14 𝑐𝑚 Example 2: Determine the perimeter of the figure below: a) Perimeter = 31 + 42 + 21 + 34 = 128 𝑚𝑚 b) 1,6 𝑐𝑚 1,6 𝑐𝑚 1,6 𝑐𝑚 1,6 𝑐𝑚 Perimeter = 1,6 𝑐𝑚 + 1,6 𝑐𝑚 + 1,6 𝑐𝑚 + 1,6 𝑐𝑚 = 6,4 𝑐𝑚 NOTE: At this stage learners should apply the definition of a perimeter to determine the perimeter of both regular and irregular polygons. 37. CLASSWORK (Suggested time: 15 minutes) Sasol-Inzalo Book 1: page 213 no. 1 (Do shape D, E and F) 38. CONSOLIDATION/CONCLUSION & HOMEWORK (Suggested time: 5 minutes) a) Emphasise that: Perimeter of a polygon is the sum of lengths of its sides or the distance along the sides of a shape. Regular polygons are polygons with all angles equal (equiangular) and all sides equal (equilateral) Irregular polygons are polygons that do not have all angles and all sides equal. b) The primary purpose of Homework is to give each learner an opportunity to demonstrate mastery of mathematics skills taught in class. Therefore, Homework should be purposeful and the principle of ‘Less is more’ is recommended, i.e. give learners few high-quality activities that address variety of skills than many activities that do not enhance learners’ conceptual understanding. Carefully select appropriate activities from the Sasol-Inzalo Book 1, DBE workbook 1 and/or textbooks for learners’ homework. The selected activities should address different cognitive levels. Homework: Sasol-Inzalo Book 1 page 213 no. 1 (Figure B and C) DBE workbook 1 page 118 no. 1 (a) and (c) MATHEMATICS LESSON PLAN GRADE 7 TERM 2: April - June DURATION: 1 Hour 39. TOPIC: COMMON FRACTIONS: Calculations using fractions (Lesson 7) 40. CONCEPTS & SKILLS TO BE ACHIEVED: By the end of the lesson learners should be able to: Add and subtract common fractions, including mixed numbers, limited to fractions with the same denominator or where one denominator is a multiple of another. 41. RESOURCES: Textbooks, DBE Workbook 1, Sasol-Inzalo book 1 Addition and subtraction of whole numbers 42. PRIOR KNOWLEDGE: Conversion of mixed numbers LCD 43. REVIEW AND CORRECTION OF HOMEWORK (suggested time: 10 minutes) Homework provides an opportunity for teachers to track learners’ progress in the mastery of mathematics concepts and to identify the problematic areas which require immediate attention. Therefore, it is recommended that you place more focus on addressing errors from learner responses that may later become misconceptions. 6. INTRODUCTION (Suggested time: 10 Minutes) Activity Add the following fractions 1 3 + 7 7 3 2 f) + 5 5 3 2 g) 4 4 e) 7.LESSON PRESENTATION/DEVELOPMENT (Suggested time: 20 minutes) Learning activities (Learners are expected to:) Teaching activities discuss in their groups and give feedback share their solutions with the whole class. Examples of how to add or subtract fractions Example 1 (Start from what learners learnt in grade 6) 2 1 1 11 6 + 1 = + 5 5 5 5 OR 2 + 1 + ( 17 5 2 =3 5 = Example 2 2 1 5 5 1 + 1 = + 2 2 4 4 10 5 = + 4 4 15 4 3 =3 4 = Example 3 4 1 6 - 1 25 5 2 = 6 3 3 1 1 + ) 5 5 2 =3( ) 5 2 =3 5 25 10 6 6 15 = 6 3 =2 6 1 =2 2 = ACTIVITY (Small groups) Calculate the following: 2 1 3 +1 + 3 3 3 3 2 2 7 k) 6 + 1 + 2 3 3 15 3 1 l) 8 - 2 10 10 2 5 m) 13 - 5 4 2 1 1 3 n) 3 + 2 - 2 4 6 12 j) 2 8. CLASSWORK(Suggested time: 15 minutes) Sasol-Inzalo book 1: page 163 no. 4 (a), (b), (f) and (g). 9. CONSOLIDATION/CONCLUSION& HOMEWORK (Suggested time: 5 minutes) g) Emphasise that: When adding and subtracting of common fractions with mixed numbers; learners must able to convert mixed numbers to proper and/or improper fractions. LCM (Lowest common multiple) is very important when adding and subtracting common fractions. h) The primary purpose of Homework is to give each learner an opportunity to demonstrate mastery of mathematics skills taught in class. Therefore, Homework should be purposeful and the principle of ‘Less is more’ is recommended, i.e. give learners few high-quality activities that address variety of skills than many activities that do not enhance learners’ conceptual understanding. Carefully select appropriate activities from the Sasol-Inzalo Books, DBE workbooks and/or textbooks for learners’ homework. The selected activities should address different cognitive levels. Homework Sasol-Inzalo book 1: page 163, No. 1 (c) , (d) , (e) and (h)