Year 10 BBA

 

Week Chapter Content Code Chapter Summary Contents
1 Expressions A1, A2, A3, A4, A4h • Use algebraic notation and simplify expressions by collecting like terms
• Substitute numbers into formulae and expressions
• Use the laws of Indices
• Multiply a single term over a bracket
• Take out common factors in an expression
• Simplify algebraic fractions and carry out arithmetic operations with algebraic fractions
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4 Angles and Polygons G1, G3, G5, G6, G15 • Use angle facts including at a point, on a line, at an intersection and for parallel lines
• Use bearings to specify directions
• Identify types of triangle and quadrilateral and use their properties
• Identify congruent shapes and use congruence to prove geometric results
• Identify similar shapes and use similarity to find lengths and areas
• Calculate the properties of polygons including interior and exterior angles for regular polygons
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6
Assessment 1  Answers
7 Handling Data S2, S3h, S4, S4h, S5 • Construct and interpret two-way tables, bar charts and pie charts
• Calculate the mean, median, mode of a data set
• Calculate the range and interquartile range of a data set
• Use averages and measures of spread to compare data sets
• Use frequency tables to represent grouped data
• Construct histograms with equal or unequal class widths
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10 Fractions, Decimals and Percentages N1, N2, N8, N10, N10h, N12 • Find fractions and percentages of amounts
• Add, subtract, multiply and divide with fractions and mixed numbers
• Convert between fractions, decimals (including recurring decimals) and percentages
• Order fractions, decimals and percentages
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Assessment 2  Answers
13 Formulae & Functions A5, A6, A6h, A7, A7h • Substitute values into formulae and rearrange formulae to change their subject
• Write an equation to represent a function and find inputs and outputs. Find the inverse of a function and use composite funcitons
• Use the terms expression, equation, formula, identity, inequality term and factor
• Construct proofs of simple statements using algebra
• Expand brackets to get a quadratic expression and factorise quadratics into brackets
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16 Working in 2D G7, G7h, G8h, G14, G16 • Measure line segments and angles accurately
• Use scale drawings and bearings
• Calculate the areas of triangles, parallelograms, trapezia and composite shapes
• Describe and transform shapes using reflections, rotations, translations (described as 2D vectors) and enlargements (inluding fractional and negative scale factors)
• Identify what changes and what is invariant under a combination of transformations
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Assessment 3 Answers
19 Probability P1, P2, P3, P4, P5, P7 • Use experimental data to estimate probabilities and expected frequencies
• Use tables to represent the outcomes of probability experiments
• Calculate theoretical probabilities and expected frequencies using the idea of equally likely events
• Recognise mutually exclusive events and exhaustive events and know that the probabilities of mutually exclusive exhaustive events sum to 1
• Compare theoretical probabilities with experimental probabilities
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22 Measures and Accuracy N13, N14, N15, N16, N16h, R11 • Use approximate values obtained by rounding to estimate calculations
• Use an estimate to check an answer obtained using a calculator
• Use, and convert between, standard units of length, mass, capacity and other measures including compound measures
• Solve problems involving compound measure such as speed and density
• Find upper and lower bounds on the value of a quantity that has been rounded
• Find upper and lower bounds on expressions that involve quantities that have been rounded
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Assessment
25 Equations and Inequalities A17, A18, A18h, A19, A19h, A20h, A21,  A22. A22h • Solve linear equations including when the unknown appears on both sides
• Solve quadratic equations using factorisation, completing the square and the quadratic formula
• Solve a pair of linear or linear plus quadratic simultaneous equations
• Use iterative processes to find approximate solutions to equations
• Solve inequalities and display your solution on a number line or a graph
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28 Circles & Constructions G2, G9, G10h, G17, G18 • Find the area and circumference of a circle and composite shapes involving circles
• Calculate arc lengths, angles and areas of sectors
• Prove and apply circle theorems
• Use standard ruler and compass constructions to solve problems involving loci
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Assessment
31 Ratio & Proportion N11, R2, R3, R4, R5, R6, R9 • Find fractions and percentages of amounts and express one number as a fraction or percentage of another
• Divide a quantity in a given ratio and reduce a ratio to its simplest form
• Use scale factors, scale diagrams and maps
• Solve problems involving percentage change
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34 Factors, Powers & Roots N4, N6, N6h, N7, N7h, N8h • Know and use the language of prime numbers, factors and multiples
• Write a number as a product of its prime factors
• Find the HCF and LCM of a pair of integers
• Estimate the square or cube root of an integer
• Find square and cube roots of numbers and apply the laws of indices
• Simplify expressions involving surds including rationalising fractions
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