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MATHEMATICS LESSON PLAN GRADE 9 TERM 1: JANUARY – MARCH PROVINCE: DISTRICT: SCHOOL: TEACHER’S NAME: DATE: DURATION: 1 Hour 1. TOPIC: WHOLE NUMBERS: PROPERTIES OF NUMBERS (Lesson 1) 2. CONCEPTS & SKILLS TO BE ACHIEVED: By the end of the lesson, learners should be able to describe the real number system by recognising, defining and distinguishing properties of : natural numbers whole numbers integers rationale getalle irrationale getalle Grade 9 Lesson Plan: 1+4 Intervention – Term 1 WHOLE NUMBERS: Properties of numbers (Lesson 1) (Draft) Page 1 of 4 3. RESOURCES: DBE workbook 1, Sasol-Inzalo book 1, Textbooks 4. PRIOR KNOWLEDGE: addition, subtraction, multiplication and division of integers simplifying algebraic expression multiplication table up to at least 12 × 12 5. 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) Revise the number system (explain the development of number system) below: Real numbers Rational 22 7 Irrational 3 ; 3,14 ; − −27 ; 25 ; −65,2 ; − 81 𝜋 ; 3 15; Surds 5; Integers 0 ;1 ;2 ;3 ;… 15 Non - terminating decimal fractions 𝜋 ; 2,351 … Common and non/recurring decimal fractions 2 ; 0,18 ; 0, 3 5 −3 ; 0 ; 7 Whole numbers 3 12 Natural numbers 1 ;2 ;3 ;… Grade 9 Lesson Plan: 1+4 Intervention – Term 1 WHOLE NUMBERS: Properties of numbers (Lesson 1) (Draft) Page 2 of 4 7. LESSON PRESENTATION/DEVELOPMENT (Suggested time: 20 minutes) Learning activities (Learners are expected to :) give more examples of rational and irrational Define the concept of rational number and irrational number (refer to numbers. page 119 in CAPS) giving examples in each case: Examples: Teaching activities Rational numbers: 3; -7; 0, 3333.... etc. 1 3 5 ; 2; 4; 3 8; 1,5; Irrational numbers: 5 ; 1,531..., 𝜋 etc NOTE: Learners should recognize the following distinguishing features of the number system: integers extend the natural and whole number systems by including operations a − b, where a < b rational numbers extend the set of integers by including the a operation wherea < b b since integers are subset of rational numbers, every integer, can be 𝑎 expressed as a rational number 𝑏 22 NB: Pi ( 𝜋) is an irrational number even though we use 7 or 3, 14 as rational number approximations for Pi in calculation done. 8. CLASSWORK (Suggested time: 15 minutes) 1. Complete the table below by ticking the correct column. The first one has been done for you. All the numbers are real. Real (a) 9 (b) 1.25 (c) 𝟕 (d) 0,𝟑 (e) (f) 𝟕 Natural number Whole number Integers Rational number - Irrational number 𝟑 𝟒 𝟐𝟐 𝟕 Grade 9 Lesson Plan: 1+4 Intervention – Term 1 WHOLE NUMBERS: Properties of numbers (Lesson 1) (Draft) Page 3 of 4 2. Between which two consecutive integers 15 lie. 3. Choose the correct answer. Which of the following numbers is irrational? A. 0, 8 B. 0,5 C. − 3 1 D. √2 4 4. Study the following numbers and answer the questions that follow: 5 7 ; −2 ; 3 −27 ; −20 ; −3 ; 12 ; 𝜋 ; (−2)2 ; 17 0 ; 3% 4.1 List the natural numbers. 4.2 List all the rational numbers that are not natural numbers. 17 4.3 Classify 0 9. CONSOLIDATION/CONCLUSION & HOMEWORK (Suggested time: 5 minutes) a) Emphasise that: 𝑎 rational numbers: Numbers that can be written in the form 𝑏 where a and b are integers and a ≠ b irrational numbers: Numbers are numbers that cannot be expressed as a rational number in the 𝑎 form 𝑏 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, workbooks and/or textbooks for learners’ homework. The selected activities should address different cognitive levels. Recommended Homework: DBE workbook 1, pg. 4, no. 2 and 3 Grade 9 Lesson Plan: 1+4 Intervention – Term 1 WHOLE NUMBERS: Properties of numbers (Lesson 1) (Draft) Page 4 of 4