Grade 8 Syllabus

Grade 8 Syllabus for Mathematics

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1Self AssessmentSelf Assessment – MYP Grade 8
2Algebraic expressionsAlgebraic expressions.
3Algebraic expressionsSubstitution into algebraic expressions.
4Algebraic expressionsDirected numbers: addition and subtraction.
5Algebraic expressionsDirected numbers: multiplication and division.
6Algebraic expressionsSimplifying algebraic expressions: adding like terms.
7Algebraic expressionsSimplifying algebraic Expressions: subtracting like terms.
8Algebraic expressionsSimplifying Algebraic expressions: combining addition and subtraction.
9Algebraic expressionsSimplifying algebraic expressions: multiplication
10Algebraic expressionsSimplifying algebraic expressions: division
11Algebraic expressionsExpanding algebraic expressions: multiplication
12Algebraic expressionsExpanding algebraic expressions: negative multiplier
13Algebraic expressionsExpanding and simplifying algebraic expressions
14Algebraic equationsSolving equations containing addition and subtraction
15Algebraic equationsSolving equations containing multiplication and division
16Algebraic equationsSolving two step equations
17Algebraic equationsSolving equations containing binomial expressions
18Algebraic equationsEquations involving grouping symbols.
19Algebraic equationsEquations involving fractions.
20Algebra- formulaeEquations resulting from substitution into formulae.
21Algebra- formulaeChanging the subject of the formula.
22Algebra-factorisingSimplifying easy algebraic fractions.
23Algebraic fractionsSimplifying algebraic fractions using the index laws.
24Algebra-negative indicesAlgebraic fractions resulting in negative indices.
25FactorisationFactorisation of algebraic fractions including binomials.
26Algebraic fractions-binomialCancelling binomial factors in algebraic fractions.
27DataLine graphs.
28Coordinate Geometry-gradientGradient
29Coordinate Geometry-gradientGradient formula.
30Coordinate Geometry-straight lineThe straight line.
31Coordinate Geometry-slope, etc.Lines through the origin.
32Coordinate Geometry-equation of lineGeneral form of a line and the x and y Intercepts.
33Coordinate Geometry-interceptSlope intercept form of a line.
34Algebra-inequalitiesSolving Inequalities.
35Absolute value or modulusSolving and graphing inequalities
36Absolute value or modulusSimplifying absolute values
37Simultaneous equnsSimultaneous equations
38Simultaneous equnsElimination method
39Simultaneous equnsElimination method part 2
40Simultaneous equnsApplications of simultaneous equations
41Rules for indices/exponentsAdding indices when multiplying terms with the same base
42Rules for indices/exponentsSubtracting indices when dividing terms with the same base
43Rules for indices/exponentsMultiplying indices when raising a power to a power
44Rules for indices/exponentsMultiplying indices when raising to more than one term
45Rules for indices/exponentsTerms raised to the power of zero
46Rules for indices/exponentsNegative Indices
47Fractional indices/exponentsFractional indices
48Fractional indices/exponentsComplex fractions as indices
49Scientific notationScientific notation with larger numbers
50Scientific notationScientific notation with small numbers
51Scientific notationChanging scientific notation to numerals
52Exponential functionThe exponential function.
53StatisticsFrequency distribution table
54StatisticsFrequency histograms and polygons
55StatisticsRelative frequency
56StatisticsThe range.
57Statistic-probabilityThe mode
58Statistic-probabilityThe mean
59Statistic-probabilityThe median
60Statistics – grouped dataCalculating mean, mode and median from grouped data
61StatisticsStem and Leaf Plots along with Box and Whisker Plots
62StatisticsScatter Diagrams
63Graphing binomialsBinomial products.
64Graphing binomialsBinomial products with negative multiplier
65Graphing binomialsBinomial products [non-monic].
66Squaring binomialSquaring a binomial. [monic]
67Squaring binomialSquaring a binomial [non-monic].
68FactorisingExpansions leading to the difference of two squares
69Algebraic expressions-productsProducts in simplification of algebraic expressions
70Algebraic expressions-larger expansionsAlgebraic Expressions – Larger expansions.
71Algebra-highest common factorHighest common factor.
72Factors by groupingFactors by grouping.
73Difference of 2 squaresDifference of two squares
74Common fact and diffCommon factor and the difference of two squares
75Quadratic trinomialsQuadratic trinomials [monic] – Case 1.
76Factorising quadsFactorising quadratic trinomials [monic] – Case 2.
77Factorising quadsFactorising quadratic trinomials [monic] – Case 3.
78Factorising quadsFactorising quadratic trinomials [monic] – Case 4.
79Factorising quadsFactorisation of non-monic quadratic trinomials
80Factorising quadsFactorisation of non-monic quadratic trinomials – moon method
81Quadratic equationsIntroduction to quadratic equations.
82Quadratic equationsQuadratic equations with factorisation.
83Quadratic equationsSolving quadratic equations.
84Quadratic equationsCompleting the square
85Quadratic equationsSolving quadratic equations by completing the square
86Quadratic equationsThe quadratic formula
87Quadratic equationsProblem solving with quadratic equations
88Quadratic equationsSolving simultaneous quadratic equations graphically
89PercentagesChanging percentages to fractions and decimals
90PercentagesOne quantity as a percentage of another
91PercentagesCalculating Percentages and Fractions of Quantities
92SurdsIntroducing surds
93SurdsSome rules for the operations with surds
94SurdsSimplifying surds
95SurdsCreating entire surds
96SurdsAdding and subtracting like surds
97SurdsExpanding surds
98SurdsBinomial expansions
99SurdsConjugate binomials with surds
100SurdsRationalising the denominator
101SurdsRationalising binomial denominators
102PythagorasFind the hypotenuse
103PythagorasPythagorean triples
104PythagorasFind the hypotenuse Part 2
105PythagorasCalculating a leg of a right-angled triangle
106PythagorasProofs of Pythagoras theorem
107ExamExam – MYP Grade 8