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ENGLISH MATHEMATICS _2021 WEEKLY TEACHING PLAN _ GRADE 7TERM 1 Week 13 daysWeek 25 days Week 35 days Week 45 days:Week 55 daysWeek 65 daysWeek 75 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.13.5 hrs.4.5 hrs2 hrs.9 hrs 4 hrs.2 hrs.3 hrsTopics, concepts and skillsREVISION WHOLE 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 numbersFind the LCM and HCF of whole numbers by inspection or factorisationSolving 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 placesREVISIONFORMAL 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 numberTERM 2 Week 14 daysWeek 25 days Week 33 daysWeek 4 5 daysWeek 55 daysWeek 65 daysWeek 75 daysWeek 85 daysWeek 95 daysWeek 104 daysWeek 115 daysHours per week3.5 hrs4.5 hrs2.5 hrs4.5 hrs4.5 hrs4.5 hrs4.5 hrs4.5 hrs4.5 hrs3.5 hrs4.5 hrsHours per topic7 hrs9 hrs2 hrs.9 hrs.9 hrs.3.5 hrs4.5 hrsTopics, concepts and skillsDECIMAL FRACTIONS:Calculations with decimal fractionsAddition and subtraction to decimal fractions of at least three decimal placesMultiply decimal fractions to include:decimal fractions to at least 3 decimal places by whole numbersDecimal fractions to at least 2 decimal places by decimal fractions to at least 1 decimal placeDivide decimal fractions to include decimal fractions to at least 3 decimal places by whole numbersCalculation techniquesUse knowledge of place value to estimate the number of decimal places in the result beforeUse rounding off and a calculator to check results where appropriateSolving problemsSolve problems in context involving decimal fractionsEquivalent formsRecognize equivalence between common fraction and decimal fraction forms of the same numberRecognize equivalence between common fraction, decimal fraction and percentage forms of the same numberINTEGERS:Counting, ordering and comparing integersCount forwards and backwards in integers for any intervalRecognize, order and compare integersCalculations with integersAdd and subtract with integersProperties of integersRecognize and use commutative and associative properties of addition for integersFORMAL ASSESSMENT TASKINVESTIGATIONDecimal FractionsIntegersNUMERIC AND GEOMETRIC PATTERNSInvestigate and extend patternsInvestigate and extend numeric and geometric patterns looking for relationships between numbers, including patterns:represented in physical or diagram formnot limited to sequences involving a constantdifference or ratioof learner’s own creationrepresented in tablesDescribe and justify the general rules for observed relationships between numbers in own wordsFUNCTIONS AND RELATIONSHIPS:Input and output valuesDetermine input values, output values or rules for patterns and relationships using:flow diagramstablesformulaeEquivalent formsDetermine, interpret and justify equivalence of different descriptions of the same relationship or rule presented:verballyin flow diagramsin tablesby formulaeby number sentencesREVISIONFORMAL ASSESSMENT TASKTESTAll Term 1 & 2 topicsPrerequisite skill or pre-knowledgeCount 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 numberNumber lineAll operations with whole numbersAddition and subtraction as inverse operationsMultiplication and division as inverse operations (with whole numbers)Addition and subtraction of integersInvestigate and extend numeric and geometric patterns looking for relationships in patterns not limited to constant difference or ratioDescribe the general rules for the observed relationships with patterns limited to constant difference or ratioInput and output values with whole numbersEquivalent representations of the aboveTERM 3 Week 14 daysWeek 25 days Week 35 daysWeek 4 5 daysWeek 54 daysWeek 65 daysWeek 75 daysWeek 85 daysWeek 95 daysWeek 105 daysWeek 114 daysHours per week3.5 hrs4.5 hrs4.5 hrs4.5 hrs3.5 hrs4.5 hrs4.5 hrs4.5 hrs4.5 hrs4.5 hrs4 hrsHours per topic6 hrs6 hrs8 hrs.9 hrs.9 hrs2.5 hrs.6 hrsTopics, concepts and skillsALGEBRAIC EXPRESSIONSRecognise and interpret rules or relationships represented in symbolic formIdentify variables and constants in given formulae and equationsALGEBRAIC EQUATIONSNumber sentencesWrite number sentences to describe problem situationsAnalyse and interpret number sentences that describe a given situationIdentify variables and constants in given formulae or equationsSolve and complete number sentences by: inspection trial and improvementSolve equations by substitutionCONSTRUCTION OF GEOMETRIC FIGURESMeasuring anglesAccurately use a protractor to measure and classify angles:< 90o (acute angles)Right-angles>90o (obtuse angles)Straight angles>180o but less than 360 o (reflex angles)ConstructionsPROVIDE LEARNERS WITH ACCURATELY CONSTRUCTED FIGURES Accurately construct geometric figures appropriately using a compass, ruler and protractor, including:angles, to one degree of accuracycirclesparallel linesperpendicular linesDescribe and name parts of a circleGEOMETRY OF STRAIGHT LINESDefine:Line segmentRayStraight lineParallel linesPerpendicular linesGEOMETRY OF 2D SHAPES:Classifying 2D shapesDescribe, sort, name and compare triangles according to their sides and angles, focussing 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)Similar and congruent 2D shapesRecognise and describe similar and congruent figures by comparing:shapesizeSolving problemsSolve simple geometric problems involving unknown sides and angles in triangles and quadrilaterals, using known propertiesTRANSFORMATIONGEOMETRYTransformationsRecognize, describe and perform translations, reflections and rotations with geometric figures and shapes on squared paperIdentify and draw lines of symmetry in geometric figuresEnlargements and reductions Draw enlargements and reductions of geometric figures on squared paper and compare them in terms of shape and sizeREVISIONFORMAL ASSESSMENT TASKTESTAll topicsPrerequisite skill or pre-knowledgeStraight sides and curved sidesTypes of angles and their definitionsNaming of shapes according to the number of sidesDifference between a rectangle and a parallelogramTypes of anglesSymmetryUse transformation terms to describe patterns in shapes Increase/ decrease the sides of 2D shapes by the same ratioN.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 4 Week 14 daysWeek 25 days Week 35 days Week 45 days:Week 55 daysWeek 65 daysWeek 75 daysWeek 85 daysWeek 95 daysWeek 103 daysHours per week3.5 hrs4.5 hrs4.5 hrs4.5 hrs4.5 hrs4.5 hrs4.5 hrs4.5 hrs4.5 hrs2.5 hrsHours per topic8 hrs.9 hrs.9 hrs.9 hrs4,5 hrs3 hrsTopics, concepts and skillsAREA AND PERIMETER OF 2D SHAPESArea and perimeterCalculate the perimeter of regular and irregular polygonsUse appropriate formulae to calculate perimeter and area of:squaresrectanglestrianglesCalculations and solving problemsSolve problems involving perimeter and area of polygonsCalculate to at least 1 decimal placeUse and convert between appropriate SI units, including:mm2 ? cm2cm2 ? m2SURFACE AREA ANDVOLUME OF 3D OBJECTSSurface area and volumeUse appropriate formulae to calculate the surface area, volume and capacity of:cubesrectangular prismsDescribe the interrelationship between surface area and volume of the objects mentioned aboveCalculations and solving problemsSolve problems involving surface area, volume and capacityUse and convert between appropriate SI units, including: mm2 ? cm2 cm2 ? m2mm3 ? cm3cm3 ? m3Use equivalence between units when solving problems:1 cm3 ? 1 ml1 m3 ? 1 klDATA HANDLING:Collect data;PROVIDE LEARNERS WITH DATA TO SAVE TIMEPose questions relating to social, economic, and environmental issues in own environmentSelect appropriate sources for the collection of data (including peers, family, newspapers, books, magazines)Distinguish between samples and populations and suggest appropriate samples for investigationDesign and use simple questionnaires to answer questions with:yes/no type responsesmultiple choice responsesOrganize and summarize dataOrganize (including grouping where appropriate) and record data using tally markstablesstem-and-leaf displaysGroup data into intervalsSummarize and distinguishing between ungrouped numerical data by determining:meanmedianmodeIdentify the largest and smallest scores in a data set and determine the difference between them in order to determine the spread of the data (range)Represent dataDraw a variety of graphs by hand/ technology to display and interpret data (grouped and ungrouped) including:bar graphs and double bar graphshistograms with given intervalspie chartsInterpret dataCritically read and interpret data represented in:wordsbar graphsdouble bar graphspie chartshistogramsAnalyse dataCritically analyse data by answering questionsrelated to:data categories, including data intervalsdata sources and contextscentral tendencies (mean, mode, median)scales used on graphsReport dataSummarize data in short paragraphs that includedrawing conclusions about the datamaking predictions based on the dataidentifying sources of error and bias in the datachoosing appropriate summary statistics for the data (mean, median, mode)REVISION OF TERM 3 AND 4 WORKFORMAL ASSESSMENT TASKTESTAll Term 3 & 4 topicsFORMAL ASSESSMENT TASKTESTAll Term 3 & 4 topicsPrerequisite skill or pre-knowledgeperimeter using rulers or measuring tapesFind areas of regular and irregular shapes by counting squares on gridsRelationship between perimeter and area of rectangles and squaresConversions between SI units of lengthArea of 2D shapes by counting the number of squares3 D objectsVolume of 3D objects by counting the number of cubesComplete Data cycle ................
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