MATHEMATICS Key Stage 3 Mastery Curriculum - Year 7. Number. Algebra. Fractions, Proportion and rates of change

Transcription

1 MATHEMATICS Key Stage 3 Mastery Curriculum - Year 7 Number Addition and Mental strategies Place value Add/subtract decimals subtraction Number bonds Different number systems Add/subtract whole numbers Money +/- Upper/lower bounds Perimeter Word Measurement Multiply and divide Mental strategies Multiplication facts Written method for multiplying Multiply by 10, 100, 1000 Column method for long multiplication Short division Area of simple shapes Divide by 10, 100, 1000 Factors & Multiples LCM, HCF Prime, Square and Triangle numbers Multiply by 0.1, 0.01, Long multiplication with decimals Long division without remainders Divide by 0.1, 0.01, Applications of algebra Graphs and equations Algebra Use formulae for area of simple shapes Number patterns Plot co-ordinates in positive quadrant Use algebraic notation Plot co-ordinates in all four quadrants Use BIDMAS correctly Substitute into expressions Solve word problems with expressions Find term to term rule Read and choose scales Draw linear graph from information given Expressions with negatives and fractions Inequality expressions Formulate and evaluate expressions Linear equations (inc word probs) Sequences n th term Use table of values to find co-ordinates from equation. Sequences and linear graphs Real life graphs (distance-time etc) Fractions, Proportion and rates of change Equal parts Word problems Compare and order fractions and decimals Fraction of a quantity Fractions Factors and multiples Fractional areas Convert between mixed numbers and Multiply and divide fractions Tenths and hundredths Equivalent fractions improper fractions Add and subtract fractions Percentages Proportional Reasoning Equal parts of a hundred Know half, quarter, tenth as percentages Bar modelling with fractions Convert between decimals and percentages Rounding whole numbers FDP equivalence Convert between fractions and percentages Percentage of a quantity Bar modelling with equations Compare quantities as ratios Find the whole given value of a percentage Rounding decimal places, significant figures Split quantities into given ratios

2 MATHEMATICS Key Stage 3 Mastery Curriculum - Year 7 Geometry basics Geometry Units and measures Work with angles Names of shapes Parallel and perpendicular Use ruler accurately to draw and measure lines 3-D Geometry Names of 3-D shapes Draw, measure and name acute, obtuse and reflex angles Use angle facts to find unknown angles Know the properties of triangles and quadrilaterals Symmetry Transformation (reflection) Bearings Constuct SAS, SSS traingles Convert between metric measures Areas of parallelogram and trapeziums Area and circumference of a circle Visualise and identify 3-D shapes & nets Volume of cuboid, prism, cylinder, composite solids Relative frequency Language of probability Use FDP to describe probabilities Mutually exclusive Equal chance problems line Use numbers on probability line Sum of probabilities = 1 List outcomes Sample space P(not x) = 1 P(x) Statistics Statistical diagrams Bar charts Tally charts Pictograms Interpret pie charts Construct pie charts Venn Diagrams Two way tables Interpret and compare statistical representations Scatter graphs Averages and measure of spread Understand the concept of an average Identify mode Calculate median and range Collect and organise data Outliers Discrete and continuous data

3 MATHEMATICS Key Stage 3 Mastery Curriculum - Year 8 Number Addition and Place value Add/subtract decimals Different number systems subtraction Add/subtract whole numbers Add and subtract negative numbers Upper/lower bounds Perimeter Word Multiply and divide Column method for long multiplication Short division Area of simple shapes Divide by 10, 100, 1000 Factors & Multiples LCM, HCF Prime, Square and Triangle numbers Multiply by 0.1, 0.01, Long multiplication with decimals Long division without remainders Divide by 0.1, 0.01, Mean from grouped frequency tables Area and circumference of circles Multiply and divide negative numbers Applications of algebra Graphs and equations Algebra Expressions with negatives and fractions Use BIDMAS correctly Inequality expressions Substitute into expressions Use algebraic notation Formulate and evaluate expressions Solve word problems with expressions Linear equations (inc word probs) Find term to term rule Sequences n th term Plot co-ordinates in all four quadrants Read and choose scales Draw linear graph from information given Use table of values to find co-ordinates from equation. Sequences and linear graphs Real life graphs (distance-time etc) Arithmetic and geometric sequences Algebraic manipulation Rearranging formulae Expansion and Factorisation Use gradient and intercept to draw straight line graph Fractions, Proportion and rates of change Fractions Word problems Compare and order fractions and decimals Fraction of a quantity Fractional areas Convert between mixed numbers and Multiply and divide fractions Terminating and recurring decimals Equivalent fractions improper fractions Add and subtract fractions Percentages Convert between decimals and percentages Convert between fractions and percentages Percentage of a quantity Find the whole given value of a percentage Reverse percentages Proportional Reasoning Rounding whole numbers FDP equivalence Bar modelling with equations Compare quantities as ratios Rounding decimal places, significant figures Split quantities into given ratios Direct and Inverse proportion Percentage increase and decrease Standard form

4 MATHEMATICS Key Stage 3 Mastery Curriculum - Year 8 Geometry Draw, measure and name acute, obtuse Bearings Angles in parallel and intersecting lines Parallel and perpendicular and reflex angles Constuct SAS, SSS traingles Convert between metric and imperial units Geometry basics Use ruler accurately to draw and measure Use angle facts to find unknown angles Convert between metric measures Similarity and congruence lines Know the properties of triangles and Areas of parallelogram and trapeziums Areas of compound shapes quadrilaterals 3-D Geometry Names of 3-D shapes Symmetry Transformation (reflection) Area and circumference of a circle Visualise and identify 3-D shapes & nets Volume of cuboid, prism, cylinder, composite solids Pythagoras theorem Transformations (rotations,translation) Simple angle proofs Plans and elevations Relative frequency Language of probability Use FDP to describe probabilities Mutually exclusive Tree diagrams line Use numbers on probability line Sum of probabilities = 1 Use two way table to find probabilities List outcomes Sample space P(not x) = 1 P(x) Statistics Statistical Construct pie charts Interpret and compare statistical Stem and leaf diagrams diagrams Interpret pie charts Venn Diagrams representations Two way tables Scatter graphs Averages and measure of spread Identify mode Calculate median and range Collect and organise data Outliers Discrete and continuous data Compare two data sets Mean of grouped data

5 MATHEMATICS Key Stage 3 Mastery Curriculum - Year 9 Number Addition and Add/subtract decimals Different number systems subtraction Add and subtract negative numbers Upper/lower bounds Word Multiply and divide Factors & Multiples LCM, HCF Prime, Square and Triangle numbers Multiply by 0.1, 0.01, Long multiplication with decimals Long division without remainders Divide by 0.1, 0.01, Mean from grouped frequency tables Area and circumference of circles Multiply and divide negative numbers Algebra Expressions with negatives and fractions Arithmetic and geometric sequences Use BIDMAS correctly Inequality expressions Algebraic manipulation Applications of Substitute into expressions Formulate and evaluate expressions Rearranging formulae algebra Solve word problems with expressions Linear equations (inc word probs) Expansion and Factorisation Find term to term rule Sequences n th term Graphs and equations Read and choose scales Draw linear graph from information given Use table of values to find co-ordinates from equation. Sequences and linear graphs Real life graphs (distance-time etc) Use gradient and intercept to draw straight line graph Fractions, Proportion and rates of change Fractions Compare and order fractions and decimals Fraction of a quantity Convert between mixed numbers and Multiply and divide fractions Terminating and recurring decimals improper fractions Add and subtract fractions Percentages Convert between fractions and percentages Percentage of a quantity Find the whole given value of a percentage Reverse percentages Proportional Reasoning Bar modelling with equations Compare quantities as ratios Rounding decimal places, significant figures Split quantities into given ratios Direct and Inverse proportion Percentage increase and decrease Standard form

6 MATHEMATICS Key Stage 3 Mastery Curriculum - Year 9 Geometry Draw, measure and name acute, obtuse Bearings Angles in parallel and intersecting lines and reflex angles Constuct SAS, SSS traingles Convert between metric and imperial units Geometry basics Use angle facts to find unknown angles Convert between metric measures Similarity and congruence Know the properties of triangles and Areas of parallelogram and trapeziums Areas of compound shapes quadrilaterals 3-D Geometry Symmetry Transformation (reflection) Area and circumference of a circle Visualise and identify 3-D shapes & nets Volume of cuboid, prism, cylinder, composite solids Pythagoras theorem Transformations (rotations,translation) Simple angle proofs Plans and elevations Relative frequency Use FDP to describe probabilities Mutually exclusive Tree diagrams Use numbers on probability line Sum of probabilities = 1 Use two way table to find probabilities Sample space P(not x) = 1 P(x) Statistics Statistical Construct pie charts Interpret and compare statistical Stem and leaf diagrams diagrams Venn Diagrams representations Two way tables Scatter graphs Averages and measure of spread Calculate median and range Collect and organise data Outliers Discrete and continuous data Compare two data sets Mean of grouped data