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ENGLISH MATHEMATICS _2021 WEEKLY TEACHING PLAN _ GRADE 9TERM 1 Week 13 daysWeek 25 daysWeek 35 daysWeek 45 daysWeek 55 daysWeek 65 daysWeek 75 daysWeek 85 daysWeek 94 daysWeek 103 daysHours per week2.5 hrs.4.5 hrs.4.5 hrs.4.5 hrs.4.5 hrs.4.5 hrs.4.5 hrs.4.5 hrs.3.5 hrs3 hrs.Hours per topic2.5 hrs.6 hrs9 hrs.2 hrs.9 hrs.4.5 hrs.6.5 hrsTopics, concepts and skillsREVISION OF GRADE 8 WORK WHOLE 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 appropriateMultiples and factorsUse prime factorisation of numbers to find LCM and HCFSolving 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.TERM 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 topic6 hrs.16 hrs.2 hrs.4.5 hrs.4.5 hrs.4.5 hrs. 3.5 hrs.4.5 ics, concepts and skillsNUMERIC AND GEOMETRIC PATTERNSGEOMETRIC 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 languageALGEBRAIC EXPRESSIONS Algebraic language Revise the following:Recognize and identify conventions for writing algebraic expressionsIdentify and classify like and unlike terms in algebraic expressionsRecognize and identify coefficients and exponents in algebraic expressionsRecognize and differentiate between monomials, binomials and trinomialsExpand and simplify algebraic expressions.Revise the following: using the commutative, associative and distributive laws for rational numbers and laws of exponents to: add and subtract like terms in algebraic expressions.multiply integers and monomials by: monomials, binomials, trinomialsdivide the following by integers or monomials: monomials, binomials, trinomialssimplify algebraic expressions involving the above operationsdetermine the squares, cubes, square roots and cube roots of single algebraic terms or like algebraic termsN.B. ENSURE THAT COMMON FRACTIONS AND DECIMAL FRACTIONS ARE PART OF CALCULATIONS WITH EXPRESSIONS (Page 122 and 123 of CAPS)Extend the above algebraic manipulations to include:multiply integers and monomials by polynomials, divide polynomials by integers or monomials, the product of two binomials, the square of a binomialFactorize algebraic expressionsFactorize algebraic expressions that involve:common factors-difference of two squarestrinomials of the form:x2 + bx + cax2 + bx + c, where a is a common factor.Simplify algebraic expressions that involve the above factorisation processes.Simplify algebraic fractions using factorisationFORMAL ASSESSMENT TASKINVESTIGATIONNumeric and geometric patternsAlgebraic expressionsALGEBRAIC EQUATIONSRevise the following:set up equations to describe problem situationsanalyse and interpret equations that describe a given situationSolve equations by inspectionusing additive and multiplicative inversesusing laws of exponentsSolve equations by substitutionUse substitution in equations to generate tables of ordered pairsExtend solving equations to include:using factorisationequations of the form: a product of factors = 0REVISIONFORMAL ASSESSMENT TASKTESTAll Term 1 & 2 topicsPrerequisite skill or pre-knowledgeDetermine input values, output values or rules for patterns and relationships using flow diagrams, tables and formulaeDetermine, interpret and justify equivalence of different descriptions of the same relationship or rule presented verbally, in flow diagrams, in tables and by formulaeAlgebraic languageFactors and multiplesExpand and simply algebraic expressionsSubstitutionDetermine the squares, cubes, square roots and cube roots of single algebraic terms or like algebraic termsWrite number sentences to describe problem situationsAnalyse and interpret number sentences that describe a given situationSolve and complete number sentences by:inspectiontrial and improvementIdentify variables and constants in given formulae or equationsUse substitution in equations to generate tables of ordered pairs Extend solving equations to include:using additive and multiplicative inversesusing laws of exponentsTERM 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 work3.5 hrs4.5 hrs4.5 hrs4.5 hrs3.5 hrs4.5 hrs4.5 hrs4.5 hrs4.5 hrs4.5 hrs4 hrsHours per topic6.5 hrs.9 hrs.5 hrs.9 hrs.9 hrs.4.5 hrs.4 ics, concepts and skillsFUNCTIONS AND RELATIONSHIPSInput and output valuesDetermine input values, output values or rules for patterns and relationships using:flow diagramstablesformulaeequationsEquivalent formsDetermine, interpret and justify equivalence of different descriptions of the same relationship or rule presented:verballyin flow diagramsin tablesby formulaeby equationsby graphs on a Cartesian planeGRAPHSInterpreting graphsExtend the focus on features of graphs with special focus on the following features of linear graphs:x-intercept and y-intercept GradientDrawing graphsUse tables of ordered pairs to plot points and draw graphs on the Cartesian planeExtend drawing of graphs with special focus on:drawing linear graphs from given equationsdetermining equations from given linear graphs.TRANSFORMATION GEOMETRYTransformationsRecognize, describe and perform transformationswith points, line segments and simple geometric figures on a co-ordinate plane, focusing on:reflection in the X-axis or Y- axistranslation within and across quadrantsGEOMETRY OF STRAIGHT LINESAngle relationshipsRevise and write clear descriptions of therelationship between 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 SHAPES AND COSTRUCTION OF GEOMETRIC FIGURESClassifying 2D shapes Revise properties and definitions of triangles in terms of their sides and angles, distinguishing between: equilateral triangles isosceles trianglesright-angled triangles ConstructionsPROVIDE LEARNERS WITH ACCURATELY CONSTRUCTED FIGURES TO INVESTIGATE THE PROPERTIES OF TRIANGLESInvestigate the angles in a triangle, focusing on the relationship between the exterior angle of a triangle and its interior anglesClassifying 2D shapes Revise and write clear definitions of quadrilateralsin terms of their sides, angles and diagonals,distinguishing between:parallelogramrectanglesquarerhombustrapeziumkiteConstructionsPROVIDE LEARNERS WITH ACCURATELY CONSTRUCTED FIGURES TO INVESTIGATE THE PROPERTIES OF QUADRILATERALSinvestigate sides and angles. and diagonals in quadrilaterals, focusing on:exploring the sum of the interior angles ofpolygonsthe diagonals of rectangles, squares,parallelograms, rhombi and kitesREVISIONFORMAL ASSESSMENT TASKTESTAll topicsPrerequisite skill or pre-knowledgeTranslations, reflections, rotations enlargements and reductions with geometric figures and shapes on grid paperRecognize and describe pairs of angles formed by:perpendicular linesintersecting linesparallel lines cut by a transversalSolve geometric problems using the relationships between pairs of angles described abovethe sum of the interior angles of trianglesIdentify and write clear definitions of types of triangles focusing on sides and anglesN.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 hrs3 hrsHours per topic6 hrs.4.5 hrs.9 hrs.9 hrs.2 hrs.4.5 hrs.4.5 hrs.3 ics, concepts and skillsGEOMETRY OF 2D SHAPES AND COSTRUCTIONSSimilar and congruent trianglesThrough investigation, establish the minimumconditions for congruent trianglesThrough investigation, establish the minimumconditions for similar trianglesConstructionsPROVIDE LEARNERS WITH ACCURATELY CONSTRUCTED FIGURESExplore the minimum conditions for two triangles to be congruentSolving problemsSolve geometric problems involving unknown sides and angles in triangles and quadrilaterals,using known properties of triangles and quadrilaterals, as well as properties of congruentand similar triangles.THEOREM OF PYTHAGORASUse the Theorem of Pythagoras to solve problems involving unknown lengths in geometric figures that contain right-angled trianglesAREA AND PERIMETER OF 2-D SHAPESUse appropriate formulae and conversions between SI units, to solve problems and calculate perimeter and area of:polygonscirclesSURFACE AREA AND VOLUME OF 3 – D OBJECTSUse appropriate formulae and conversions between SI units to solve problems and calculate the surface area, volume and capacity of: rectangular prismstriangular prismscylinders cylindersREVISIONFORMAL ASSESSMENTTASKTEST Term 3 & 4 workPrerequisite skill or pre-knowledgeDetermine whether a triangle is a right-angled triangle or not if the length of the three sides of the triangle are knownUse the Theorem of Pythagoras to calculate a missing length in a right-angled triangle, leaving irrational answers in surd formUse of appropriate formulae to calculate perimeter and area of polygons to include circles to at least 2 decimal places and convert between appropriate SI units, including and up to km2Calculate perimeter and area of complex figuresUse of appropriate formulae to calculate the surface area, volume and capacity of cubes and rectangular prismsDescribe the interrelationship between surface area and volume of the objects mentioned aboveUse and convert between appropriate SI units, including:mm2 ? cm2 ? m2 ? km2mm3 ? cm3 ? m3ml (cm3) ? l ? kl ................
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