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ENGLISH MATHEMATICS _2021 WEEKLY TEACHING PLAN _ GRADE 8TERM 1Week 13 days Week 2 5 daysWeek 35 daysWeek 4 5 daysWeek 55 daysWeek 65 daysWeek 7 5 daysWeek 85 daysWeek 94 daysWeek 103 daysHours per week2.5 hrs4.5 hrs4.5 hrs4.5 hrs4.5 hrs4.5 hrs4.5 hrs4.5 hrs3.5 hrs3 hrsHours per topic2.5 hrs.9 hrs.9 hrs.2 hrs.2.5 hrs4.5 hrs2 hrs2.5 hrs1.5 hrs.2 hrs3 ic, concepts, skills and valuesREVISION OF GRADE 7 WORKWHOLE 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 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 appropriateTERM 2Week 14 days Week 25 daysWeek 3 3 daysWeek 4 5 daysWeek 5 5 daysWeek 6 5 daysWeek 7 5 daysWeek 85 days Week 95 daysWeek 10 4 daysWeek 115 daysHours per week3.5 hrs4.5 hrs.2.5 hrs4.5hrs.4.5 hrs.4.5 hrs.4.5 hrs.4.5 hrs.4.5 hrs.3.5 hrs.4.5 hrs.Hours per topic3.5 hrs.1.5 hrs.3 hrs7 hrs9 hrs.2 hrs.2.5 hrs.4.5 hrs4.5 hrs.3.5 hrs.4.5 hrsTopic, concepts, skills and valuesDECIMAL FRACTIONSCalculations with decimal fractionsRevise Multiplication 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 fractionsSolving problemsSolve problems in context involving decimalEXPONENTSComparing and representing numbers in exponential formRevise compare and represent whole numbers in exponential formCompare and represent integers in exponential formCompare and represent numbers in scientific notation, limited to positive exponentsCalculations using numbers in exponential formEstablish general laws of exponents, limited to:am×an=am+nam÷an=am-n if m>namn=am×na×tn=an×tna0=1Recognise and use the appropriate laws of operations using numbers involving exponents and square and cube rootsPerform calculations involving all four operations with numbers that involve squares, cubes, square and cube roots of integersCalculate the squares, cubes, square and cube roots of rational numbersSolving problemsSolve problems in contexts involving numbers in exponential formNUMERIC AND GEOMETRIC PATTERNSInvestigate and extend patternsRevise investigate and extend numeric and geometric patterns looking for relationships between numbers, including patterns:represented in physical or diagram formnot limited to sequences involving a constant difference or ratioof learner’s own creationrepresented in tablesExtend investigate and extend numeric and geometric patterns looking for relationships between numbers, including patterns represented algebraically Describe and justify the general rules for observed relationships between numbers in own words or in algebraic languageFORMAL ASSESSMENT TASKINVESTIGATIONExponentsPatternsFUNCTIONS AND RELATIONSHIPSInput and output valuesRevise, determine input values, output values or rules for patterns and relationships using:flow diagramstablesformulaeExtend determine input values, output values or rules for patterns and relationships using equationsEquivalent formsRevise determine, interpret and justify equivalence of different descriptions of the same relationship or rule presented:verballyin flow diagramsin tablesby formulaeby number sentencesExtend determine, interpret and justify equivalence of different descriptions of the same relationship or rule presented by equationsALGEBRAIC EXPRESSIONSAlgebraic languageRecognize and identify conventions for writing algebraic expressionsIdentify and classify like and unlike terms in algebraic expressionsRecognize and identify coefficients and exponents in algebraic expressionsExpand and simplify algebraic expressionsUse commutative, associative anddistributive laws for rational numbersand laws o exponents to:Add and subtract like terms in algebraic expressionsFORMAL ASSESMENT TASKTESTAll Term 1 and Term 2 topicsPrerequisite skill/ pre-knowledgeCount 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 appropriateCompare and represent whole numbers in exponential form: ab=a×a×a×… for b number of factorsRecognise and use the appropriate laws of operations with numbers involving exponents and square and cube rootsPerform calculations involving all four operations using numbers in exponential form, limited to exponents up to 5, and square and cube rootsSolve problems in contexts involving numbers in exponential formInvestigate and extend numeric and geometric patterns looking for relationships between numbers, including patterns:represented in physical or diagram formnot limited to sequences involving a constant difference or ratioof learner’s own creationrepresented in tables Describe and justify the general rules for observed relationships between numbers in own wordsDetermine input values, output values or rules for patterns and relationships using:flow diagramstablesformulaeDetermine, interpret and justify equivalence of different descriptions of the same relationship or rule presented:verballyin flow diagramsin tablesby formulaeby number sentencesRecognize and interpret rules or relationships represented in symbolic formIdentify variables and constants in given formulae and/or equations TERM 3Week 14 daysWeek 25 daysWeek 35 daysWeek 45 daysWeek 54 daysWeek 65 daysWeek 75 daysWeek 85 daysWeek 95 daysWeek 105 daysWeek 114 daysHours per week3.5 hrs.4.5 hrs.4.5 hrs.4.5 hrs.3.5 hrs.4.5 hrs4.5 hrs.4.5 hrs.4.5 hrs.4.5 hrs.4 hrsHours per topic3.5 hrs.4.5 hrs.7 hrs.2 hrs3.5 hrs.4.5 hrs1 hr.3.5 hrs4.5 hrs.4.5 hrs.4.5 hrs.4 hrsTopic, concepts, skills and valuesALGEBRAIC EXPRESSIONSExpand and simplify algebraic expressionsUse commutative, associative anddistributive laws for rational numbersand laws o exponents to:Add and subtract like terms in algebraic expressions Multiply integers and monomials by:monomialsbinomialstrinomialsDivide the following by integers or monomials:monomialsbinomialstrinomialsSimplify algebraic expressionsinvolving the above operations Determine the squares, cubes,square roots and cube roots of singlealgebraic terms or like algebraictermsDetermine the numerical value of algebraic expressions by substitutionALGEBRAIC EQUATIONSEquationsUse substitution in equations to generate tables of ordered pairs Extend solving equations to include:using additive and multiplicative inversesusing laws of exponentsGEOMETRY OF STRAIGHT LINESAngle relationshipsRecognize and describe pairs of angles formed by:perpendicular linesintersecting linesparallel lines cut by a transversalSolving problemsSolve geometric problems using the relationships between pairs of angles described aboveGEOMETRY OF 2D SHAPESClassifying 2D shapesIdentify and write clear definitions of triangles in terms of their sides and angles, distinguishingbetween:equilateral trianglesisosceles trianglesright-angled trianglesConstructionsPROVIDE LEARNERS WITH ACCURATELY CONSTRUCTED FIGURES TO INVESTIGATE THE PROPERTIES OF TRIANGLESInvestigating properties of geometric figures Investigate the angles in a triangle, focusing on:the sum of the interior angles of trianglesthe size of angles in an equilateral trianglethe sides and base angles of an isosceles triangleClassifying 2D shapesIdentify and write clear definitions of quadrilaterals in terms of their sides and angles, distinguishingbetween:parallelogramrectanglesquarerhombustrapeziumkiteConstructionsPROVIDE LEARNERS WITH ACCURATELY CONSTRUCTED FIGURES TO INVESTIGATE THE PROPERTIES OF QUADRILATERALSInvestigating properties of geometric figuresInvestigate sides and angles in quadrilaterals, focusing on:the sum of the interior angles of quadrilateralsthe sides and opposite angles of parallelogramsSolving problemsSolve geometric problems involving unknown sides and angles in triangles and quadrilaterals, using known properties and definitions.Similar and congruent 2D shapesIdentify and describe the properties of congruent shapesIdentify and describe the properties of similar shapesSolving problemsSolve geometric problems involving unknown sides and angles in triangles and quadrilaterals,using known properties and definitions.REVISIONFORMAL ASSESMENT TASKTESTAll topicsPrerequisite skill/ pre-knowledgeRecognize and interpret rules or relationships represented in symbolic formIdentify variables and constants in given formulae and/or equations Write number sentences to describe problem situationsAnalyse and interpret number sentences thatdescribe a given situationSolve and complete number sentences by:inspectiontrial and improvementDetermine the numerical value of an expressionby substitution.Identify variables and constants in given formulaeor equationsDefinitions of:Line segmentRayStraight linesParallel linesPerpendicular linesDescribe, sort, name and compare triangles according to their sides and angles, focusing on:equilateral trianglesisosceles trianglesright-angled trianglesDescribe, sort, name and compare quadrilaterals in terms of:length of sidesparallel and perpendicular sidessize of angles (right-angles or not) Describe and name parts of a circleRecognize and describe similar and congruent figures by comparing:shapesizeN.B. BY THE END OF TERM 3, LEARNERS SHOULD HAVE COMPLETED A PROJECT AND A TEST. SEE NOTES ON PROJECT FROM ABRIDGED SECTION 4 OF CAPS.TERM 4Week 14 daysWeek 25 daysWeek 35 daysWeek 45 daysWeek 55 daysWeek 65 daysWeek 75 daysWeek 85 daysWeek 95 daysWeek 103 daysHours per week3.5 hrs.4.5 hrs.4.5 hrs.4.5 hrs.4.5 hrs.4.5 hrs.4.5 hrs.4.5 hrs.4.5 hrs.3 hrs.Hours per topic8 hrs.4.5 hrs.4.5.hrs4.5 hrs.4.5 hrs4.5 hrs.7.5 hrsTopic, concepts, skills and valuesGRAPHSInterpreting graphsRevise: Analyse and interpret global graphs of problem situations, with special focus on the following trends and features:linear or non-linearconstant, increasing or decreasingAnalyse and interpret global graphs of problemsituations, with a special focus on the following trends and features:maximum or minimumdiscrete or continuous Drawing graphsDraw global graphs from given descriptions of a problem situation, identifying features listed aboveUse tables or ordered pairs to plot points and draw graphs on the Cartesian planeTRANSFORMATION GEOMETRYTransformationsRecognize, describe and perform transformations with points on a co-ordinate plane, focusing on:reflecting a point in the X-axis or Y-axistranslating a point within and across quadrantsRecognize, describe and perform transformations with triangles on a co-ordinate plane, focusing on the co-ordinates of the vertices when:reflecting a triangle in the X-axis or Y-axistranslating a triangle within and across quadrantsTHEOREM OF PYTHAGORASDevelop and use the Theorem of PythagorasInvestigate the relationship between the lengths of the sides of a right-angled triangle to develop the Theorem of PythagorasDetermine whether a triangle is right-angled triangle or not if the lengths of the three sides of the triangle is known Use the Theorem of Pythagoras to calculate the missing length in a right-angled triangle, leaving irrational answers in surd form.AREA AND PERIMETER OF 2-D SHAPESArea and perimeterUse appropriate formulae to calculate perimeter and area of: circlesCalculate the areas of polygons, to at least 2 decimal places, by decomposing them into rectangles and/or triangles Use and describe the relationship between the radius, diameter and circumference of a circle in calculationsUse and describe the relationship between the radius and area of a circle in calculationsCalculations and solving problemsSolve problems, with or without a calculator, involving perimeter and area of polygons and circles to at least 2 decimal placesUse and describe the meaning of the irrational number Pi (π) in calculations involving circlesUse and convert between appropriate SI units, including: mm2 ? cm2 ? m2 ? km2REVISION OF TERM 3 AND 4 WORKFORMAL ASSESMENT TASKTESTAll Term 3 and Term 4 topicsPrerequisite skill/ pre-knowledgeAnalyse and interpret global graphs of problem situations, with special focus on the following trends and features:linear or non-linearconstant, increasing or decreasingDraw global graphs from given descriptions of a problem situation, identifying features listed aboveRecognise, describe and perform translations, reflections and rotations with geometric figures ad shapes on squared paperIdentify and draw lines of symmetry in geometric figuresKnowledge of squares and square roots of whole numbersGeometry of 2-D shapes Algebraic equations Calculate the squares, cubes, square roots and cube roots of rational numbers ................
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