Mexico Year 7/8 Mathematics

Self-AssessmentSelf Assessment – Year 8
DecimalsDividing decimal fractions by whole numbers
DecimalsDividing numbers by a decimal fraction
FractionsMultiplying fractions
FractionsMultiplying mixed numbers (mixed numerals)
FractionsFinding reciprocals of fractions and mixed numbers (mixed numerals)
FractionsDividing fractions
FractionsDividing mixed numbers (mixed numerals)
Rules propertiesU.S.ing Order of Operation procedures (BIDMAS) with Fractions
PercentagesChanging percentages to fractions and decimals
PercentagesOne quantity as a percentage of another
PercentagesCalculating Percentages and Fractions of Quantities
Algebraic expressionsAlgebraic expressions
Algebraic expressionsSubstitution into algebraic expressions
Algebraic expressionsDirected numbers: addition and subtraction
Algebraic expressionsDirected numbers: multiplication and division
Algebraic expressionsSimplifying algebraic expressions: adding like terms
Algebraic expressionsSimplifying algebraic Expressions: subtracting like terms
Algebraic expressionsSimplifying Algebraic expressions: combining addition and subtraction
Algebraic expressionsSimplifying algebraic expressions: multiplication
Algebraic expressionsSimplifying algebraic expressions: division
Algebraic expressionsExpanding algebraic expressions: multiplication
Algebraic expressionsExpanding algebraic expressions: negative multiplier
Algebraic expressionsExpanding and simplifying algebraic expressions
Algebra-highest common factorHighest common factor
Algebraic equationsSolving equations containing addition and subtraction
Algebraic equationsSolving equations containing multiplication and division
Algebraic equationsSolving two-step equations
Algebraic equationsSolving equations containing binomial expressions
Algebraic equationsEquations involving grouping symbols
AreaIntroducing the rules for finding the area of a rectangle and a parallelogram
AreaFinding the area of a triangle and other composite shapes
AreaArea of a circle
VolumeFinding the volume of prisms
Geometry-anglesMeasuring angles
Geometry-anglesAdjacent angles
Geometry-anglesComplementary and supplementary angles
Geometry-anglesVertically opposite angles
Geometry-anglesAngles at a Point
Geometry-anglesParallel Lines
Geometry-problemsAdditional questions involving parallel lines
Geometry-trianglesAngle sum of a triangle
Geometry-trianglesExterior angle theorem
Special trianglesSpecial triangles
Geometry-quadrilateralsQuadrilaterals
Geometry-constructionsGeometric constructions
Geometry problemsMore difficult exercises involving parallel lines
Geometry-reasoningFurther difficult exercises involving formal reasoning
Similar trianglesSimilar triangles
PythagorasFind the hypotenuse
PythagorasPythagorean triples
PythagorasFind the hypotenuse Part 2
PythagorasCalculating a leg of a right-angled triangle
StatisticsFrequency distribution table
StatisticsFrequency histograms and polygons
StatisticsRelative frequency
StatisticsThe range
Statistic-probabilityThe mode
Statistic-probabilityThe mean
Statistic-probabilityThe median
Statistic-probabilityProbability of Simple Events

Mexico Year 9 Mathematics

Algebraic expressionsExpanding and simplifying algebraic expressions
Algebra-highest common factorHighest common factor
Algebraic equationsSolving two step equations
Algebraic equationsSolving equations containing binomial expressions
Algebraic equationsEquations involving grouping symbols
Algebra-factorisingSimplifying easy algebraic fractions
Rules for indices/exponentsAdding indices when multiplying terms with the same base
Rules for indices/exponentsSubtracting indices when dividing terms with the same base
Rules for indices/exponentsMultiplying indices when raising a power to a power
Rules for indices/exponentsMultiplying indices when raising to more than one term
Rules for indices/exponentsTerms raised to the power of zero
Rules for indices/exponentsNegative Indices
Algebraic fractionsSimplifying algebraic fractions using the index laws
Scientific notationScientific notation with larger numbers
Scientific notationScientific notation with small numbers
Scientific notationChanging scientific notation to numerals
AreaArea of a circle
AreaArea of a trapezium
AreaArea of a rhombus
AreaArea of regular polygons and composite figures
Surface areaSurface area of a cube/rectangular prism
Surface areaSurface area of a triangular/trapezoidal prism
Surface areaSurface area of a cylinder and sphere
VolumeVolume of a cylinder and sphere
StatisticsFrequency distribution table
StatisticsFrequency histograms and polygons
StatisticsRelative frequency
StatisticsThe range
Statistic-probabilityThe mode
Statistic-probabilityThe median
Geometry-problemsAdditional questions involving parallel lines
Special trianglesSpecial triangles
Geometry-quadrilateralsQuadrilaterals
Geometry-constructionsGeometric constructions
Geometry problemsMore difficult exercises involving parallel lines
Geometry-congruenceCongruent triangles, Test 1 and 2
Geometry-congruenceCongruent triangles, Test 3 and 4
PythagorasFind the hypotenuse
PythagorasPythagorean triples
PythagorasFind the hypotenuse Part 2
PythagorasCalculating a leg of a right-angled triangle
Trigonometry-ratiosTrigonometric ratios
Trigonometry-ratiosUsing the calculator
Trigonometry-ratiosUsing the trigonometric ratios to find unknown length [Case 1 Sine]
Trigonometry-ratiosUsing the trigonometric ratios to find unknown length [Case 2 Cosine]
Trigonometry-ratiosUsing the trigonometric ratios to find unknown length [Case 3 Tangent Ratio]
Trigonometry-ratiosUnknown in the denominator [Case 4]
Trigonometry-compassBearings – the compass
Trigonometry-elevationAngles of elevation and depression
Statistic-probabilityProbability of Simple Events

Mexico Year 10 Mathematics

FractionsReducing fractions to lowest equivalent form
FractionsComparing and ordering fractions greater than (>) 1
FractionsSubtracting fractions from whole numbers
FractionsAdding and subtracting fractions with the same denominator
FractionsAdding and subtracting fractions with different denominators
FractionsMultiplying fractions by whole numbers
FractionsMultiplying fractions
FractionsMultiplying mixed numbers (mixed numerals)
FractionsFinding reciprocals of fractions and mixed numbers (mixed numerals)
FractionsDividing fractions
FractionsDividing mixed numbers (mixed numerals)
Rules propertiesUsing Order of Operation procedures (BIDMAS) with Fractions
PercentagesCalculating Percentages and Fractions of Quantities
Algebraic equationsSolving equations containing binomial expressions
DecimalsAdding decimals to two decimal places
DecimalsSubtracting decimals to two decimal places
DecimalsUsing decimals – shopping problems
DecimalsUsing decimals to record length
DecimalsDecimals to three decimal places
DecimalsAdding decimals with a different number of decimal places
DecimalsSubtracting decimals with a different number of places
DecimalsMultiplication of decimals by decimals to two decimal places
DecimalsDividing decimals by 10, 100 and 1000
DecimalsDividing decimal fractions by whole numbers
DecimalsDividing numbers by a decimal fraction
PercentagesIntroduction to percentages, including relating common fractions to percentages
PercentagesChanging fractions and decimals to percentages using tenths and hundredths
PercentagesChanging percentages to fractions and decimals
PercentagesOne quantity as a percentage of another
Algebraic equationsEquations involving grouping symbols
Algebraic equationsEquations involving fractions
Algebraic equationsSolving Inequalities
Algebraic equationsSimplifying easy algebraic fractions
Rules for indices/exponentsAdding indices when multiplying terms with the same base
Rules for indices/exponentsSubtracting indices when dividing terms with the same base
Rules for indices/exponentsMultiplying indices when raising a power to a power
Rules for indices/exponentsMultiplying indices when raising to more than one term
Rules for indices/exponentsTerms raised to the power of zero
Algebraic fractionsSimplifying algebraic fractions using the index laws
Fractional indices/exponentsFractional indices
Scientific notationScientific notation with larger numbers
Scientific notationScientific notation with small numbers
Scientific notationChanging scientific notation to numerals
Significant figuresSignificant figures
Trigonometry-ratiosUsing the trigonometric ratios to find unknown length [Case 3 Tangent Ratio]
Trigonometry-ratiosUnknown in the denominator. [Case 4]
Trigonometry-compassBearings – the compass
Trigonometry-elevationAngles of elevation and depression
Trigonometry-practicalTrigonometric ratios in practical situations
Trigonometry- ratiosUsing the trigonometric ratios to find an angle in a right-angled triangle
Trigonometry-ratiosUsing the calculator to find an angle given a trigonometric ratio
Geometry-problemsAdditional questions involving parallel lines
Geometry-quadrilateralsQuadrilaterals
Geometry-constructionsGeometric constructions
Geometry-reasoningFurther difficult exercises involving formal reasoning
Geometry-congruenceCongruent triangles, Test 1 and 2
Geometry-congruenceCongruent triangles, Test 3 and 4
Geometry-congruenceProofs and congruent triangles
Similar trianglesUsing similar triangles to calculate lengths
Overlapping trianglesExamples involving overlapping triangles
Geometry – trianglesTriangle inequality theorem
AreaArea of a trapezium
AreaArea of a rhombus
AreaArea of a circle
AreaArea of regular polygons and composite figures
Surface areaSurface area of a cube/rectangular prism
Surface areaSurface area of a triangular/trapezoidal prism
Surface areaSurface area of a cylinder and sphere
Surface areaSurface area of pyramids
Surface areaSurface area of cones
Surface areaSurface area of composite solids
VolumeVolume of pyramids and cones
VolumeComposite solids
Coordinate Geometry-the planeDistance formula
Coordinate Geometry-midpoint, slopeMid-point formula
Coordinate Geometry-gradientGradient
Coordinate Geometry-gradientGradient formula
Coordinate Geometry-straight lineThe straight line
Coordinate Geometry-slope, etc.Lines through the origin
Coordinate Geometry-equation of lineGeneral form of a line and the x and y Intercepts
Coordinate Geometry-interceptSlope intercept form of a line
Coordinate Geometry-point slopePoint slope form of a line
StatisticsFrequency distribution table
Statistic-probabilityCumulative frequency
Statistic-probabilityCalculating the median from a frequency distribution
Statistic-probabilityTree diagrams – not depending on previous outcomes
Statistic-probabilityTree diagrams – depending on previous outcomes

Mexico Year 11 Mathematics

StatisticsFrequency histograms and polygons
StatisticsRelative frequency
StatisticsThe range
Statistic-probabilityThe mode
Statistic-probabilityThe mean
Statistic-probabilityThe median
Statistic-probabilityCumulative frequency
Statistic-probabilityCalculating the median from a frequency distribution
StatisticsStem and Leaf Plots along with Box and Whisker Plots
AreaFinding the area of a triangle and other composite shapes
AreaLarger areas: square meter, hectare, square kilometer
AreaArea of a trapezium
AreaArea of a rhombus
AreaArea of a circle
Surface areaSurface area of a cube/rectangular prism
Surface areaSurface area of a triangular/trapezoidal prism
Surface areaSurface area of pyramids
CapacityConverting between volume and capacity using milliliters and liters
Weight/massThe ton – converting units and problems
VolumeFinding the volume of prisms
VolumeVolume of a cylinder and sphere
VolumeVolume of pyramids and cones
PythagorasFind the hypotenuse
PythagorasPythagorean triples
PythagorasFind the hypotenuse Part 2
PythagorasCalculating a leg of a right-angled triangle
Trigonometry-ratiosTrigonometric ratios
Trigonometry-ratiosUsing the calculator
Trigonometry-ratiosUsing the trigonometric ratios to find unknown length [Case 2 Cosine]
Trigonometry-ratiosUsing the trigonometric ratios to find unknown length [Case 3 Tangent Ratio]
Trigonometry-ratiosUnknown in the denominator [Case 4]
Trigonometry-compassBearings – the compass
Trigonometry-elevationAngles of elevation and depression
Trigonometry-practicalTrigonometric ratios in practical situations
Trigonometry-ratiosUsing the calculator to find an angle given a trigonometric ratio
Trigonometry- ratiosUsing the trigonometric ratios to find an angle in a right-angled
Trigonometry-exact ratiosTrigonometric ratios of 30º, 45º, and 60º – exact ratios
Scientific notationScientific notation with larger numbers
Scientific notationScientific notation with small numbers
Scientific notationChanging scientific notation to numerals
Significant figuresSignificant figures
Algebraic expressionsExpanding algebraic expressions: negative multiplier
Algebraic expressionsExpanding and simplifying algebraic expressions
Algebraic expressions-productsProducts in simplification of algebraic expressions
Algebraic equationsSolving two-step equations
Algebraic equationsSolving equations containing binomial expressions
Algebraic equationsEquations involving grouping symbols
Algebraic equationsEquations involving fractions
Algebra-factorisingSimplifying easy algebraic fractions
Algebraic fractionsSimplifying algebraic fractions using the index laws
Algebra- formulaeEquations resulting from substitution into formulae
SimultaneoU.S. equnsSimultaneous equations
Coordinate Geometry-straight lineThe straight line
Coordinate Geometry-slope, etc.Lines through the origin
Coordinate Geometry-interceptSlope intercept form of a line
Co-ordinate Geometry-Intercept formIntercept form of a straight line: find the equation when given x and y
Similar trianglesSimilar triangles
Similar trianglesU.S.ing similar triangles to calculate lengths
Overlapping trianglesExamples involving overlapping triangles
Statistic-probabilityProbability of Simple Events
Statistic-probabilityRolling a pair of dice
Statistic-probabilityExperimental probability
Statistic-probabilityThe complementary result
Statistic-probabilityP[A or B] When A and B are both mutually and NOT mutually exclusive
Sequences and Series-CompoundCompound interest

Mexico Year 12 Mathematics

Statistics – Range and dispersionRange as a measure of dispersion
Statistics – SpreadStatistics – Spread
Statistics – Standard deviationStandard deviation applications
Statistics – Standard deviationNormal distribution
Statistics – Interquartile rangeMeasures of spread: the interquartile range
StatisticsScatter Diagrams
AreaArea of regular polygons and composite figures
VolumeComposite solids
Surface areaSurface area of a cylinder and sphere
Surface areaSurface area of cones
Surface areaSurface area of composite solids
Trigonometry-cosine ruleThe cosine rule to find an unknown side [Case 1 SAS]
Trigonometry-cosine ruleThe cosine rule to find an unknown angle [Case 2 SSS]
Trigonometry-sine ruleThe sine rule to find an unknown side. Case 1
Trigonometry-sine ruleThe sine rule to find an unknown angle. Case 2
Trigonometry-areasThe area formula
Statistic-probabilityTree diagrams – not depending on previous outcomes
Statistic-probabilityTree diagrams – depending on previous outcomes
Statistic-probabilityCounting techniques and ordered selections – per-mutations
Statistic-probabilityUnordered selections – combinations
Algebra- formulaeChanging the subject of the formula
Coordinate geometrySolve by graphing
Statistic-probability

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