Teaching Plan: Mathematics Grade 9 Term 1 2021

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TEACHING PLAN: MATHEMATICS GRADE 9 TERM 1 2021LESSON DATENO1TOPIC2Revision3Revision4Whole Numbers1.1Pp 1195Whole Numbers1.1Pp 1196Whole Numbers1.1Pp 1197Whole Numbers1.1Pp 119Whole Numbers1.1Pp 1208Revision9Whole Numbers1.1Pp 12010Whole Numbers1.1Pp 119MENTALMATHSLESSON NAMEGrade 8 Work Revision: DiagnostictestsGrade 8 work Revision: DiagnostictestsGrade 8 work Revision: Diagnostictests Properties of whole NumbersDescribe the real number systemby recognising, defining anddistinguishing properties of: natural numbers, whole numbers,integers, rational numbers,irrational numbersCalculations with whole numbersCalculations using all four operationson whole numbers, estimating andusing calculators where appropriate -Addition and subtractionCalculations with whole numbersCalculations using all four operationson whole numbers, estimating andusing calculators where appropriate Multiplication and divisionMultiples and factors Use prime factorisation ofnumbers to find LCM and HCFSolving problems Solve problems in contextsinvolving: Ratio and rateSolving problems Solve problems in contextsinvolving-Direct and indirect proportion The commutative; associative;distributive properties of wholenumbers 0 in terms of its additiveproperty (identity element foraddition) 1 in terms of its multiplicativeproperty (identify element formultiplication)DBEWORKBOOKTEXTBOOK

3Pp1211617INTEGERS1.3Pp12118192021EXPONENTS1.2Pp 124 Recognise the division propertyof 0, whereby any numberdivided by 0 is undefinedCalculations with integers Revise: addition and subtraction withintegersCalculations with integers Multiplication and division withintegers perform calculations involvingall four operations with integersCalculations with integers perform calculations involvingall four operations withnumbers that involve thesquares, cubes, square rootsand cube roots of integers Properties of Integers Commutative, associative anddistributive properties ofaddition and multiplication forintegersProperties of integers Additive and multiplicativeinverses for integersProperties of integers Perform calculations involvingall four operations withnumbers that involve squares,cubes, square roots and cuberoots of integersProperties of integers Calculate the squares, cubes,square roots and cube roots ofrational numbers Whole numbers and IntegersRevision FORMAL TASK: ASSIGNMENT:WHOLE NUMBERS &INTEGERS Formal task revision andconsolidationCalculations using numbers inexponential form Revise the following general lawsof exponents. Multiplicationam x an am n

2223242526272829EXPONENTS1.2Pp 124EXPONENTS1.2Pp 124EXPONENTS1.2Pp 124EXPONENTS1.2Pp 125EXPONENTS1.2Pp 125EXPONENTS1.2Pp 125EXPONENTS1.2Pp 125EXPONENTS1.2Pp 1253031NUMERIC ANDGEOMETRICPATTERNS:2.1Pp12632NUMERIC ANDGEOMETRICPATTERNS:2.1Pp12633NUMERIC ANDGEOMETRICPATTERNS:2.1Pp126NUMERIC ANDGEOMETRICPATTERNS:2.1Pp126-734 Division am an am - n, if m nPowers (am)n am x nBrackets (a x t)n an x t nAny number to power zeroa 10Extend the general laws ofexponents to include: integer exponents Extend the general laws ofexponents to include:1–ma 𝑎𝑎𝑚𝑚 Perform calculations involving allfour operations using numbers inexponential form Recognize and use theappropriate laws of numbersinvolving exponents and squareand cube roots Exponents revision andconsolidationNUMERIC PATTERNSInvestigate and extend patterns Investigate and extend numericand geometric patterns lookingforrelationshipsbetweennumbers including patterns:NUMERIC PATTERNS represented in physical ordiagram form, not limited tosequences involving a constantdifference or ratio, of learner’sown creation, represented intables, represented algebraicallyNUMERIC PATTERNSDescribe and justify the general rulesfor observed relationships betweennumbers in own words or in algebraiclanguage NUMERIC PATTERNSDetermine input values, outputvalues and rules for patterns given ininput-output diagrams

NUMERIC ANDGEOMETRICPATTERNS:2.1Pp126-73536NUMERIC PATTERNSDetermine equivalence of differentdescriptions of the same relationshipor rule presented verbally, in a flowdiagram, by a number sentence.37Revision & consolidation on NumericPatternsWhole Numbers Revision38Integers Revision39Exponents revision40FORMAL TASK: TEST41Revision of Test42Revision of test43Revision and consolidation of coveredtopicsRevision and consolidation of coveredtopicsRevision and consolidation of coveredtopicsRevision and consolidation of coveredtopicsSchool closure44454647Programme of assessment 2021Term1234Assessment Weighting80%20%

GRADE 9 2021 LESSON PLANS EXEMPLAR TERM 13MinDA Y 4TOPIC: WHOLE NUMBERSCOMPONENTSTIMEWHOLE CLASSACTIVITYTASKS/ACTIVITIESPSS: Looking after myself during CovidDATE:GRADE 9CAPS CONTENT AREANumbers, operations,and relationsCONCEPT AND SKILLS:Properties of wholeNumbersN0qsnAnsNoqsnAnsDescribe the real120 0 20512 112number system by212 1 1266-06recognising, defining30 15 07-7 4 (and distinguishing3)properties of:4-8 1-78—4x-28natural numbers, wholenumbers, integers,rational numbers,irrational numbersRevision of homework problems given during lastKEY WORDS:lessonNatural numbers, wholenumbers, Rationalnumbers, IrrationalnumbersLearners know definitions and can give examples whole numbers, prime numbers, evennumbers and integers7 MinMENTAL MATHSLESSON PLAN 410 MinHOMEWORKLESSONCONTENT/CONCEPTDEVELOPMENT20 SONREFLECTION Teacher and learners define the properties of numbers, giving examples ofeach of the following: natural numbers, whole numbers, integers, rational numbers, irrationalnumbers, prime numbers, composite numbers, real and non-real numbers Learners identify the name of number from a given description in groups.Teacher and learners do corrections of work given in groups on the board as awhole class activity.Learners to draw giving own examples of the real number system venn diagramMatch the numbers to the number type belowNumberExample11;2;3;4 Irrational number(Q’’)2Natural Numbers(N) 3;π30;1;2;3;4 .Rational numbers(Q)4Integers (Z)½;0.255-4;-3;-2;-1;0;1;2;3Whole numbers (No) Successes: What went well in the lesson? Challenges: What did not go well? Recommendations: What changes are necessary to improve the lesson?

GRADE 9 2021 LESSON PLANS EXEMPLAR TERM 13 MinDA Y 5LESSON PLAN 5TOPIC: WHOLE NUMBERS :ADDITION AND SUBTRACTIONCOMPONENTS TIME TASKS/ACTIVITIESWHOLE CLASSPSS: Caring for the sick: What should I do?ACTIVITY7 CTION20 Min20 MinLESSON CONTENT/CONCEPTDEVELOPMENTPRIORKNOWLEDGECONCEPT AND SKILLS:Calculations with wholenumbersCalculations using allfour operations onwhole numbers,estimating and usingcalculators whereappropriateKEY WORDS:Estimation, Roundingoff, compensation,calculatorTeacher and learners revise homework given.Solutions:1.Natural numbers;2. Irrational numbers; 3.Whole numbers;4. Rational numbers;5.integersLearners are able to round off numbers, add and subtract as well as usingcalculator from Grade 810 MinHOMEWORKEstimate the following answers1.10x302.50x½3,2456 10004.200 0.55.102 296.2169-200GRADE 9Date:CAPS CONTENT AREANumbers, operations,and relations Teacher and learners discuss the meaning of estimating androunding off and how it can be used to simplify calculations Revise rounding off rules Examples on rounding off numbers to the nearest 10; 100 and1000e.g. round off 6782 to nearest 10 ( 6780); nearest 100( 6800);tonearest 1000( 7000)Solve 45678 12654 by rounding off and compensating:46 000 13 000 59 00046 000-45678 322 and 13 000-12 654 346322 346 668Therefore 59 000-668 58 332Solve the following using rounding off and compensating1. 245 898 241 1342. 998 432-654 0041.Estimate the value of 815-341 by rounding off to the nearest 10 Successes: What went well in the lesson? Challenges: What did not go well? Recommendations: What changes are necessary to improve thelesson?

GRADE 9 2021 LESSON PLANS EXEMPLAR TERM 13MinDA Y 6LESSON PLAN 6TOPIC: WHOLE NUMBERS: MULTIPLICATION AND DIVISIONCOMPONENTSTIMETASKS/ACTIVITIESWHOLE CLASSPSS: Caring for othersACTIVITYMENTALMATHSGRADE 9Date:CAPS CONTENT AREANumbers, operations,and relations7 MinWrite each of the following as a single number1.3000 400 50 62.40 000 3000 200 10 83.500 000 50 000 4000 600 60 14.60000 9000 400 0 3HOMEWORK10 MinRevise work given previous rs know multiplication and long division from Grade 820 MinTeacher demonstrate multiplication method using1.doubling and halving and2.column methods20 MinLESSON CONTENT/CONCEPT DEVELOPMENTPRIORKNOWLEDGECONCEPT AND SKILLSCalculations with wholenumbersCalculations using allfour operations onwhole numbers,estimating and usingcalculators whereappropriateKEY WORDS:Addition.Multiplication,Division, Halving.DoublingTeacher revises long division with learnerse.g 13 455 901495913455944368581454500Thus 13 455 9 1 495Learners to do the following in groups where possibleSimplify the following1.44 252 x322.54 762 22Simplify :1. 15 623x122.64 246 31 Successes: What went well in the lesson? Challenges: What did not go well?Recommendations: What changes are necessary to improve the lesson?

GRADE 9 2021 LESSON PLANS EXEMPLAR TERM 1Date:GRADE 93MinDA Y 7LESSON PLAN 7TOPIC: WHOLE NUMBERS: MULTIPLES AND FACTORSCOMPONENTSTIMETASKS/ACTIVITIESWHOLE CLASSPSS: Healthy eating during CovidACTIVITY7 MinMENTALMATHS10 MinHOMEWORKMatch column A and column BColumn AColumn BLCMA number that gets intoa bigger numberwithout remainderFactorProduct of one numberand another numberMultiplesHighest common FactorHCFLowest commonMultipleCONCEPT AND SKILLSUse prime factorisationof numbers to find LCMand HCFRevise work given previous day solutions1.15623x12 1874762.64 246 31 2072 rem 14KEY WORDS:Factors; prime factor,HFC, LCM,FactorisationLearners know how to find HCF and LCM from Grade 820 MinLESSON CONTENT/CONCEPT DEVELOPMENTPRIORKNOWLEDGECAPS CONTENT AREANumbers, operations,and relationsTeacher defines the key words with the learnersLearners express numbers as products of their prime factors using the methodof dividing the number by the prime factors.Example 1. Express the following numbers as products of their prime numbers(a)28 (b)124 (c)135228212431352142623457731313151155128 2x2x7124 2x2x31135 3x3x3x5Example 2. Find the HCF and LCM of 28 and 124Solution:For Highest common factors we take each common factor and multiply28 2x2x7124 2x2x31HCF 2x2 4For LCM we take the greatest number of each factor and multiply28 2x2x7124 2x2x31LCM 2x2x7x31 868

HOMEWORKLESSONREFLECTION20 MinCLASSWORKACTIVITYFind the HCF and LCM of the following:1. 50 and 802. 36 and 603. 56 and 52Find the HCF and LCM of 15 and 40 ;18 and 24 Successes: What went well in the lesson? Challenges: What did not go well?Recommendations: What changes are necessary to improve the lesson?

GRADE 9 2021 LESSON PLANS EXEMPLAR TERM 13MinDA Y 8LESSON PLAN 8TOPIC: WHOLE NUMBERS: RATIO, RATE AND PROPORTIONCOMPONENTSTIMETASKS/ACTIVITIESWHOLE CLASSPSS: Need for RKLESSONREFLECTIONRevise work given previous dayCONCEPT AND SKILLSSolving problemsSolve problems incontexts involving:-Ratio and rateDirect and indirectproportionKEY WORDS:Ratio, Rate, proportionLearners have idea of rates and ratio from Grade 820 MinLESSON CONTENT/CONCEPTDEVELOPMENTPRIORKNOWLEDGE20 MinHOMEWORK10 Min7 MinSimplify the following:1.4:22.20%:50%3.30/60GRADE 9Date:CAPS CONTENT AREANumbers, operations,and relationsTeacher asks learners to explain their meaning of Ratio, giving own examples.Demonstrates to learners the ratio of blue chalk stick/ blocks to red chalksticks/blocksDefine ratio as a way of comparing 2 or more quantities of same kind, writtenas a: b where a and b are quantities.Ratio have no units and order is important.Teacher asks learners to state the ratio of boys to girls in the class.Ratios are always expressed in simpler form e.g12:4 3:1Ratios can be expressed as % e.g. 3:6 3/6x!00% 50%Rate is a special ratio in which the two terms are in different units eg km/hrWhere we are comparing distance covered in a certain time period.Rate normally uses the word per eg, US per Rand or Price per litreExample :10 litres of petrol cost R150, what is the price of petrol per litre?Answer: price per litre 150/10 R15/ltre1. Simplify the following ratios (a) 6:12, (b) 9:12:152. Express 3:2 as a percentage3. A boy can run 100m in 6mins, how far can he run in an Hour/1.Simplify (a) 12:48 (b) 6:15:902, Express 4:5 as a percentage Successes: What went well in the lesson? Challenges: What did not go well? Recommendations: What changes are necessary to improve thelesson?

TEACHING PLAN: MATHEMATICS GRADE 9 TERM 1 2021 LESSON NO DATE TOPIC MENTAL MATHS LESSON NAME DBE WORKBOOK TEXT BOOK 1 Revision Grade 8 Work Revision: Diagnostic tests 2 Revision Grade 8 work Revision: Diagnostic tests 3 Revision Grade 8 work Revision: Diagnostic tests 4 Whole Numbers 1.1 Pp 119

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