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COVID-19 ADJUSTED MATHEMATICS _2021 “WEEKLY” TEACHING PLAN _ GRADE 4TERM 1 Week 15 daysDate………………Week 25 daysDate……………… Week 35 days:Date………………Week 45 daysDate………………Week 55 daysDate………………Week 65 daysDate………………Hours per week6 hrs.6 hrs.6 hrs.6 hrs.6 hrs.Hours per topic12 hrs.6 hrs.12 ics, concepts and skillsWHOLE NUMBERS:Number range for counting, ordering, comparing and representing, and place value of digitsCount forwards and backwards (in 2s, 3s, 5s, 10s, 25s, 50s, 100s) between 0 and at least 10 000Order, compare and represent numbers to at least 4-digit numbersRepresent odd and even numbers to at least 1?000.Recognize the place value of digits in whole numbers to at least 4-digit numbersRound off to the nearest 10, 100 and 1?000.NUMBER SENTENCESWrite number sentences to describe problem situationsSolve and complete number sentences byinspectiontrial and improvementCheck solution by substitutionProperties of whole numbersRecognize and use the commutative; associative and distributive properties of operations with whole numbers.0 in terms of its additive propertyFORMAL ASSESSMENT TASKASSIGNMENTWhole numberNumber sentenceWHOLE NUMBERS:Number range for calculationsAddition and subtraction of whole of at least 4 digitsCalculation techniquesUse a range of techniques to perform and check written and mental calculations with whole numbers including;estimationbuilding up and breaking down numbersrounding off and compensatingusing a number lineusing addition and subtraction as inverse operations.Properties of whole numbersRecognize and use the commutative and associative properties of whole numbers0 in terms of its additive propertySolving problemsSolve problems in contexts involving whole numbers, includingfinancial contextsmeasurement contextsFORMAL ASSESSMENT TASKTest All topicsPrerequisite skill or pre-knowledgeCounting ordering, comparing, and representing place value of 3-digit numbers up to 800Recognize the place value of digits in whole numbers to at least 3-digit numbers up to 800.Round off to the nearest 10Multiply 2, 3, 4, 5, 10 to at least 100 Divide numbers to 100 by 2, 3, 4, 5,10 Use appropriate symbols (+, -, ×, ÷, = , ?) Counting ordering, comparing, and representing place value of 3-digit numbers up to 800.Add up to 800Subtract from 800Recognize the place value of digits in whole numbers to at least 800.Round off to the nearest 10Adding and subtracting units, multiples of 10 and multiples of 100 to/from any 3-digit number up to 800 COVID-19 ADJUSTED MATHEMATICS _2021 “WEEKLY” TEACHING PLAN _ GRADE 5TERM 1 Week 15 daysDate………………Week 25 daysDate……………… Week 35 days:Date………………Week 45 daysDate………………Week 55 daysDate………………Week 65 daysDate………………Hours per week6 hrs.6 hrs.6 hrs.6 hrs.6 hrs.Hours per topic12 hrs.6 hrs.12 ics, concepts and skillsWHOLE NUMBERS: Number range for counting, ordering, comparing and representing, and place value of digitsOrder, compare and represent numbers to at least 6-digit numbers Recognize the place value of digits in whole numbers to at least 6 digit numbersRound off to the nearest 5, 10, 100 and 1?000NUMBER SENTENCESWrite number sentences to describe problemsituationsSolve and complete number sentences byinspectiontrial and improvementCheck solution by substitutionFORMAL ASSESSMENT TASKSASSIGNMENTWhole numbersNumber sentencesWHOLE NUMBERS:Number range for calculationsAddition and subtraction of whole numbers with at least 5-digit numbersCalculation techniquesUsing a range of techniques to perform and check written and mental calculations of whole numbers including:estimationadding and subtracting in columnsbuilding up and breaking down numbersusing a number linerounding off and compensatingusing addition and subtraction as inverse operationsProperties of whole numbersRecognize and use the commutative and associative properties of whole numbers0 in terms of its additive propertySolving problemsSolve problems involving whole numbers, including the following:financial contextsmeasurement contextsFORMAL ASSESSMENT TASKSTESTAll topicsPrerequisite skill or pre-knowledgeCounting ordering, comparing, and representing place value of 4-digit numbers.Recognize the place value of digits in whole numbers to at least 4-digit numbers.Rounding off to the nearest 100Basic operations with whole numbersAddition and subtraction of 4-digit numbers.Round off to the nearest 10, 100, 1 000 and estimate answers.Adding and subtracting units, multiples of 10 and multiples of 100, 1 000 to/from any 4-digit numberCOVID-19 ADJUSTED MATHEMATICS _2021 “WEEKLY” TEACHING PLAN _ GRADE 6TERM 1 Week 15 daysDate………………Week 25 daysDate………………Week 34 days:Date…….Week 31 dayWeek 4 5 daysDate………………Week 52 daysDate………………Week 53 daysDate………………Week 65 daysDate………………Hours per week6 hrs.6 hrs.4 hrs.2 hrs.6 hrs2 hrs.4 hrs.6 hrs.Hours per topic6 hrs.10 hrs.10 hrs.10 ics, concepts and skillsWHOLE NUMBERS:Counting, ordering, comparing, representing and place value(6 – 9 digit numbers)Order, compare and represent numbers up to at least 9-digit numbersRepresent prime numbers to at least 100Recognize the place value of digits in whole numbers to at least 9-digit numbersRound off to the nearest 5, 10, 100 and 1 000ADDITION AND SUBTRACTION:Number range for calculationsAddition and subtraction of whole numbers with at least 5-digit and 6-digit numbers Calculation techniques Using a range of techniques to perform and check written and mental calculations with whole numbers including:estimation adding, subtracting in columns building up and breaking down numbers rounding off and compensatingusing a number lineusing addition and subtraction as inverse operations using a calculator Properties of whole numbers Recognize and use the commutative; associative; distributive properties of whole numbers 0 in terms of its additive property Solving problems Solve problems involving whole numbers and decimal fractions, including: financial contexts mmeasurement contexts WHOLE NUMBERS:MultiplicationNumber range for calculations Multiplication of at least whole 4-digit by 3-digit numbers Multiple operations on whole numbers with or without brackets Calculation techniques include Using a range of techniques to perform and check written and mental calculations with whole numbers including:estimation multiplying in columns building up and breaking down numbers doubling and halvingusing multiplication and division as inverse operationsusing a calculator Number range for multiples and factors Multiples of 2-digit and 3-digit numbers Factors of 2-digit and 3-digit whole numbers Prime factors of numbers to at least 100 Properties of whole numbers Recognize and use the commutative; associative; distributive properties of whole numbers 1 in terms of its multiplicative property Solving problems Solve problems involving whole numbers and decimal fractions, including: financial contexts measurement contexts Solve problems involving whole numbers, including: comparing two or more quantities of the same kind (ratio) comparing two quantities of different kinds (rate)FORMAL ASSESSMENT TASKASSIGNMENTCounting, ordering, comparing, representing and place valueAddition and subtractionMultiplicationWHOLE NUMBERS:DivisionNumber range for calculations Division of at least whole 4-digit by 3-digit numbers Multiple operations on whole numbers with or without brackets Calculation techniques Using a range of techniques to perform and check written and mental calculations with whole numbers including:estimation between multiplication and division long division building up and breaking down numbers doubling and halvingusing multiplication and division as inverse operationsusing a calculator Number range for multiples and factors Multiples of 2-digit and 3-digit numbers Factors of 2-digit and 3-digit whole numbers Prime factors of numbers up to at least 100Properties of whole numbers Recognize and use the commutative; associative; distributive properties of whole numbers 1 in terms of its multiplicative property Solving problems Solve problems involving whole numbers and decimal fractions, including: financial contexts measurement contexts Solve problems involving whole numbers, including:comparing two or more quantities of the same kind (ratio) ccomparing two quantities of different kinds (rate) grouping and equal sharing with remaindersFORMAL ASSESSMENT TASKTESTAll topicsPrerequisite skill or pre-knowledgeCounting, ordering, comparing, representing and place value of (4 – 6 digit numbers)Represent odd and even numbers to at least 1 000.Addition and Subtraction of 5-digit numbersProperties of operations with whole numbersMultiplication of 3-digit by 2-digit numbersPrime numbersMultiples of 2-digits whole numbers to at least 100Factors of 2-digit whole numbers to at least 100Properties of operations with whole numbersDivision of 3-digit by 2-digit numbersMultiples of 2-digits whole numbers to at least 100Factors of 2-digit whole numbers to at least 100Properties of operations with whole numbersCOVID-19 ADJUSTED MATHEMATICS _2021 “WEEKLY” TEACHING PLAN _ GRADE 7TERM 1 Week 15 days Date………………Week 25 days Date…………Week 35 daysDate………………Week 45 daysDate………………Week 55 daysDate………………Week 6Date………………Hours per week4.5 hrs4.5 hrs4.5 hrs4.5 hrs4.5 hrsHours per topic9 hrs.4.5 hrs4.5 hrs 4.5 hrsTopics, concepts and skillsWHOLE NUMBERSRevise the following:Ordering and comparing whole numbersProperties of operations with whole numbersCalculations using all operations with whole numbersCalculation techniquesUse a range of strategies to perform and check written and mental calculations of whole numbers including:long divisionadding, subtracting and multiplying in columnsestimationrounding off and compensatingusing a calculatorMultiples and factorsList prime factors of numbers to at least 3-digit whole numbersSolving problemsSolve problems involving whole numbers, including:Comparing of two or more quantities of the same kind (ratio)Comparing two quantities of different kinds (rate)Sharing in a given ratio where the whole is givenEXPONENTS:Mental calculationsDetermine squares to at least 12? and their square rootsDetermine cubes to at least 6? and their cube rootsComparing and representing numbers in exponential formCompare and represent whole numbers in exponential form: ab = a ×a ×a ×… for b number of factorsCalculations using numbers in exponential formRecognize and use the appropriate laws of operations with numbers involving exponents and square and cube rootsCalculations involving all four operations using numbers in exponential form, limited exponents up to 5, and square and cube rootsFORMAL ASSESSMENT TASKASSIGNMENTWhole numbersExponentsCOMMON FRACTIONS:Ordering, comparing and simplifying common fractionsExtend to thousandthsCalculations with fractionsAddition and subtraction of fractions including mixed numbers where one denominator is not a multiple of the other.Multiplication common fractions, including mixed numbers, not limited to fractions where one denominator is a multiple of another.Calculation techniquesConvert mixed numbers to common fractions in order to perform calculations with themUse knowledge of multiples and factors to write fractions in the simplest form before or after calculations.Use knowledge of equivalent fractions to add and subtract common fractionsPercentagesCalculate the percentage of part of a wholeCalculate percentage increase or decrease of whole numbersSolving problemsSolve problems in contexts involving common fractions and mixed numbers, including grouping and sharing; and finding fractions of whole numbersSolve problems in contexts involving percentagesDECIMAL FRACTIONS:Ordering and comparing decimal fractionsCount forwards and backwards in decimal fractions to at least 3 decimal placesPlace value of decimals to at least 3 decimal placesOrder and compare decimal fractions to at least 3 decimalsRounding off decimal fractions to at least 2 decimal placesFORMAL ASSESSMENT TASKTESTAll topicsPrerequisite skill or pre-knowledgeOrder, compare, represent and place value of 9 digit numbersRounding off to the nearest 5,10,100.1000.10 000, etc.All operations with whole numbersMultiples and factors of 3 digit whole numbersPrime factors of 2 digit whole numbers up to 100Properties of operations with whole numbersIdentity element of 0 and 1Ordering and comparing fractions specifically Tenths and hundredths Addition and subtraction of common fractions, including mixed numbers, limited to fractions with the same denominator or where one denominator is a multiple of anotherRecognize and use equivalent forms of common fractions with 1-digit or 2-digit denominatorsfinding fractions of whole numbersFinding percentages of whole numbersEquivalence between fractions and percentage forms of the same numberCount forwards and backwards in decimal fractions to at least two decimal placesCompare and order decimal fractions to at least two decimal placesPlace value of digits to at least two decimal placesRounding off decimal fractions to at least 1 decimal placeAddition and subtraction of decimal fractions of at least two decimal placesmultiplication of decimal fractions by 10 and 100Equivalence between fractions and percentage forms of the same numberCOVID-19 ADJUSTED MATHEMATICS _2021 “WEEKLY” TEACHING PLAN _ GRADE 8TERM 1Week 1 5 daysDate………………Week 25 daysDate………………Week 3 5 daysDate………………Week 45 daysDate………………Week 54 daysDate………………Week 6Date………………Hours per week4.5 hrs4.5 hrs4.5 hrs4.5 hrs4.5 hrsHours per topic9 hrs.4.5 hrs.4.5 hrs4.5 ic, concepts, skills and valuesWHOLE NUMBERSCalculations using whole numbersRevise:Calculations using all four operations on whole numbers, estimating and using calculators where appropriateCalculation techniquesUse a range of strategies to perform and check written and mental calculations with whole numbers including:EstimationAdding, subtracting and multiplying in columnsLong divisionRounding off and compensatingUsing a calculatorMultiples and factorsRevise:Prime factors of numbers to at least 3-digit whole numbersLCM and HCF of numbers to at least 3-digit whole numbers, by inspection or factorisationSolving problemsRevise:Solve problems involving whole numbers, including: Comparing two or more quantities of the same kind (ratio)Comparing two quantities of different kinds (rate)Sharing in a given ratio where the whole is givenExtend to increasing or decreasing of a number in a given ratioSolve problems that involve whole numbers, percentages and decimal fractions in financial contexts such as:INTEGERSCalculations with integersRevise addition and subtraction with integersMultiply and divide with integersPerform calculations involving all four operations with integersPerform calculations involving all four operations with numbers that involve squares, cubes, square roots and cube roots of integersProperties of integersRecognise and use commutative, associativeand distributive properties of addition and multiplication for integersRecognize and use additive and multiplicative inverses for integersFORMAL ASSESMENT TASKASSIGNMENTWhole numbersIntegersCOMMON FRACTIONSCalculations with fractionsDivide whole numbers and common fractions by common fractionsCalculate the squares, cubes, square roots and cube roots of common fractionsCalculate amounts if given percentage increase or decreaseCalculations and solving problemsCalculation techniquesUse knowledge of reciprocal relationships to divide common fractionsPercentageCalculate amounts if given percentage increase or decreaseSolving problemsSolve problems in contexts involving common fractions and mixed numbers, including grouping, sharing and finding fractions of whole numbersSolve problems in contexts involving percentagesDECIMAL FRACTIONSCalculations with decimal fractionsMultiplication of decimal fractions by decimal fractions not limited to one decimal placeDivision of decimal fractions by decimal fractionsCalculate the squares, cubes, square roots and cube roots of decimal fractionsCalculation techniquesUse knowledge of place value to estimate the number of decimal places in the result before performing calculationsUse rounding off and a calculator to check results where appropriateFORMAL ASSESMENT TASKTESTAll topicsPrerequisite skill/ pre-knowledgeMultiplication of whole numbers to at least 12 × 12Order and compare prime numbers to at least 100Calculations using all four operations on whole numbers, estimating and using calculators where appropriatePrime factors of numbers to at least 3-digit whole numbersLCM and HCF of numbers to at least 3-digit whole numbers, by inspection or factorisationSolve problems involving whole numbers, including: - Comparing two or more quantities of the same kind (ratio)- Comparing two quantities of different kinds (rate)-Sharing in a given ratio where the whole is givenCount forwards and backwards in integers for any intervalRecognise, order and compare integersAdd and subtract with integersRecognise and use commutative and associative properties of addition and multiplication for integersSolve problems in contexts involving addition and subtraction of integersAddition and subtraction to fractions where one denominator is not a multiple of the other Multiplication of common fractions, including mixed numbers, not limited to fractions where one denominator is a multiple of another Converting mixed numbers to common fractions Use knowledge of multiples and factors to write fractions in the simplest form before or after calculations Use knowledge of equivalent fractions to add and subtract common fractions in order to perform calculations with themCalculate the percentage of part of a wholeCalculate percentage increase or decrease of whole numbersCount forwards and backwards in decimals Compare and order decimal fractions Rounding off decimal fractions Addition and subtraction of decimalfractions of at least three decimal placesMultiplication of decimal fractions by whole numbers and decimals Division of decimal fractions by whole numbersUse knowledge of Place value to estimate the number of decimal places in the result before performing calculationsUse rounding off and a calculator to check results where appropriate COVID-19 ADJUSTED MATHEMATICS _2021 “WEEKLY” TEACHING PLAN _ GRADE 9TERM 1 Week 15 daysDate………………Week 25 daysDate………………Week 35 daysDate………………Week 45 daysDate………………Week 55 daysDate………………Week 6Date………………Hours per week4.5 hrs.4.5 hrs.4.5 hrs.4.5 hrs.4.5 hrs.Hours per topic4.5 hrs4.5 hrs.9 hrs.4.5 ics, concepts and skillsWHOLE NUMBERSProperties of numbersDescribe the real number system by recognising, defining and distinguishing properties of:natural numbers, whole numbers, integers, rational numbers, irrational numbersCalculations using whole numbersRevise:Calculations using all four operations on whole numbers, estimating and using calculators where appropriateSolving problemsSolve problems in contexts involving:Ratio and rate Direct and indirect proportionINTEGERSCalculations with integersRevise:addition and subtraction with integersMultiplication and division with integersperform calculations involving all fouroperations with integersperform calculations involving all four operations with numbers that involve the squares, cubes, square roots and cube roots of integersProperties of integersRevise:Commutative, associative and distributive properties of addition and multiplication for integersAdditive and multiplicative inverses for integersFORMAL ASSESSMENT TASKASSIGNMENTWhole numbersIntegersEXPONENTSCalculations using numbers in exponential formRevise the following general laws of exponents.am x an = am + nam ÷ an = am - n, if m>n(am)n = am x n(a x t)n = an x t na0 = 1Extend the general laws of exponents to include: integer exponentsa–m = 1am Perform calculations involving all four operations using numbers in exponential formNUMERIC AND GEOMETRIC PATTERNS:NUMERIC PATTERNSInvestigate and extend patternsInvestigate and extend numeric and geometric patterns looking for relationships between numbers including patterns:represented in physical or diagram form, not limited to sequences involving a constant difference or ratio, of learner’s own creation, represented in tables, represented algebraicallyDescribe and justify the general rules for observed relationships between numbers in own words or in algebraic languageFORMAL ASSESSMENT TASKTESTAll Term 1 topicsPrerequisite skill or pre-knowledgeThe commutative; associative; distributive properties of whole numbers0 in terms of its additive property (identity element for addition)1 in terms of its multiplicative property (identify element formultiplication)Recognise the division property of 0, whereby any number divided by 0 is undefinedPerform calculations involving all four operations with numbers that involve squares, cubes, square roots and cube roots of integersCalculate the squares, cubes, square roots and cube roots of rational numbersRecognize and use the appropriate laws of numbers involving exponents and square and cube rootsDetermine input values, output values and rules for patterns given in input-output diagrams Determine equivalence of different descriptions of the same relationship or rule presented verbally, in a flow diagram, by a number sentence. ................
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