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Year 9 Teaching Summary
Year 9 Teaching Summary Number 1 | Powers of ten and standard form Significant figures and decimal places Directed numbers Percentages | Positive indices Revision of Year 8 work Percentage of a quantity | Number 2 | Powers of ten and standard form Four rules with fractions Ratio Direct proportion | Negative indices Revision of Year 8 work Proportional division Including conversions with imperial units Use of unitary method Do not use α symbol | Algebra 1 | Collection of like terms, products, bracket removal, equations | Revision of Year 8 work | Graphs I | Gradient of line joining two points Equation of straight line Sketching a graph | Including rearrangement Especially form ax + by = c | Shape and Space 1 | Terminology in right-angled trianglesTangent | Relationship with gradient Calculating angles and side lengths in right-angled triangles | Shape and Space 2 | Sine and cosine | Calculating angles and side lengths in right-angled triangles | Handling Data 1 | Statistical investigationCollection of data, frequency tables, tally charts, stem and leaf Averages from raw data Displaying data | TerminologyConcentrating on the latter Advantages and disadvantages of different averages Discrete and continuous | Handling Data 2 | Scatter diagrams Time-series data | Include mean pointCorrelation, interpolation and extrapolation | End of First Term |
Algebra 2 | Four rules with algebraic fractions Laws of indices Solving equations including squares and square roots Substitution into formulae Solution of inequalities | Areas including parallelogram, trapezium and circle Pythagoras | Graphs 2 | Simultaneous equations Inequalities and regions | Graphical method Shading unwanted region | Number 3 | Inverse percentages Multiples, factors and primes HCF, LCM Long multiplication and division Use of calculator | Revision of Year 8 work using multiplication method Including using product of prime factors | Algebra 3 | Bracket insertion; extracting common factor Simplification of algebraic fractions Equations with fractions Simultaneous equations Trial and improvement | Emphasis on elimination method | End of Second Term |
Graphs 3 | Distance-time graphs Speed-time graphs | Including interpretation of gradient Interpretation of gradient and area | Shape and Space 3 | Basic geometry Circle geometry Similar triangles | Review of Year 8 work Triangles, parallel lines, quadrilaterals, polygons Angle at centre = …, angles in same segment, angle in a semicircle, opp. angles of cyclic quad., tangent and radius, Tangents from exterior point, bisector of chord | Handling Data 3 | Averages from ungrouped frequency table Class boundaries for different sorts of data Mean from a grouped frequency table Probability as relative frequency Theoretical probability | Basic notation and use of probability spaces | Number 4 | Compound percentages Surds Rounding Arithmetic using standard form | Simplification rules Upper and lower bounds Use of calculator | Algebra 4 | Changing the subject of a formula Using formulae Dimension of a formula Expressions, equations, identities and formulae | Including those with squares and square roots Volumes and surface areas | End of Year |
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