Year 09 Foundation Maths
Curriculum:
- Understand the meaning of the words ‘less than’.
- Find a fraction of a number.
- Recall square numbers.
- Understand the meaning of ‘total’.
- Understand the commutative property of multiplication.
- Identify place value.
- Round to the nearest 100, 10 and whole number.
- Understand the meaning of the words ‘prime’, ‘factor’, ‘multiple’ and ‘product’.
- Find the area of a square and identify square numbers.
- Use simple powers of 10.
- List the factors of numbers; identify which factors are prime.
- Simplify simple expressions.
- Multiply and divide simple terms.
- Recognise equivalent expressions.
- Calculate with negative numbers and terms.
- Multiply negative and positive terms.
- Find HCFs of number pairs.
- Translate words into algebraic terms.
- Use priority of operations with positive and negative numbers.
- Simplify calculations by cancelling.
- Use inverse operations.
- Round to a given number of decimal places.
- Multiply and divide decimal numbers.
- Write decimal numbers of millions.
- Round to a given number of significant figures.
- Estimate answers to calculations.
- Use one calculation to find the answer to another.
- Recognise 2-digit prime numbers.
- Find factors and multiples of numbers.
- Find common factors and common multiples of two numbers.
- Find the HCF and LCM of two numbers by listing.
- Find square roots and cube roots.
- Recognise powers of 2, 3, 4 and 5.
- Understand surd notation on a calculator.
- Use index notation for powers of 10.
- Use index notation in calculations.
- Use the laws of indices.
- Write a number as the product of its prime factors.
- Use prime factor decomposition and Venn diagrams to find the HCF and LCM.
- Use correct algebraic notation.
- Write and simplify expressions.
- Use the index laws.
- Multiply and divide expressions.
- Substitute numbers into expressions.
- Recognise the difference between a formula and an expression.
- Substitute numbers into a simple formula.
- Expand brackets.
- Simplify expressions with brackets.
- Substitute numbers into expressions with brackets and powers.
- Recognise factors of algebraic terms.
- Factorise algebraic expressions.
- Use the identity symbol ≡ and the not equals symbol ≠
- Write expressions and simple formulae to solve problems.
- Use maths and science formulae.
- Addition of numbers.
- Counting tally symbols and drawing tally charts.
- Interpret a frequency table, including calculating the total population.
- Convert between 12 and 24 hour clock times.
- Calculate with time.
- Understand use of fractions.
- Determine what features are missing from a graph.
- Interpret bar charts.
- Write decimal numbers of millions.
- Plot a line graph.
- Place numbers in order of size.
- Express a part of a circle as a fraction or percentage of the whole.
- Know the number of degrees in a circle.
- Draw a circle.
- Draw a given angle.
- Understand depreciation of value as things age, as well as an understanding of exceptions (e.g. classic cars)
- Plot coordinates in the first quadrant.
- Recall definitions of positive, negative and no correlation.
- Read values from a graph.
- Identify equivalence in fractions.
- Identify the denominator of a fraction.
- Identify the numerator of a fraction.
- Find the LCM.
- Write fractions in their simplest form.
- Convert between units of length.
- Add and subtract fractions.
- Convert between mixed numbers and improper fractions.
- Find a fraction of a quantity.
- Know that 1000 g = 1 kg.
- Know the commutative rule a x b = b x a.
- Write 1 million pounds as a figure.
- Divide larger numbers by smaller numbers.
- Convert between mixed numbers and improper fractions.
- Multiply a whole number or a fraction by a fraction.
- Identify the (place) value of a digit in a decimal number.
- Convert between common fractions and decimals.
- Write one value as a fraction of another.
- Write common fractions and decimals as percentages.
- Find percentages of quantities.
- Convert a fraction to a decimal.
- Convert a percentage to a fraction.
- Calculate with percentages.
- Convert a percentage to a decimal.
- Understand the meaning of the term ‘inverse operation’.
- Find the output of a function machine when given the input.
- Use all four operations to solve simple, single one-step equations.
- Work out the outputs of a function machine.
- Simplify expressions.
- Expand a single bracket, involving positive and negative numbers.
- Solve two-step equations.
- Identify numbers that satisfy an inequality.
- Use the inequality signs between numbers.
- List integer values that satisfy an inequality.
- Identify the inverse of all four operations.
- Substitute into and evaluate expressions.
- Find the missing numbers in simple arithmetic sequences.
- Write down missing terms in sequences.
- Find the term-to-term rule.
- Substitute into a simple expression.
- Solve simple equations.
- Designing tables and data collection sheets.
- Reading data from tables.
- Use data from tables.
- Design and use two-way tables.
- Draw and interpret comparative and composite bar charts.
- Interpret and compare data shown in bar charts, line graphs and histograms.
- Plot and interpret time series graphs.
- Use trends to predict what might happen in the future.
- Construct and interpret stem and leaf and back-to-back stem and leaf diagrams.
- Draw and interpret pie charts.
- Plot and interpret scatter graphs.
- Determine whether or not there is a relationship between sets of data.
- Draw a line of best fit on a scatter graph.
- Use the line of best fit to predict values.
- Compare fractions.
- Add and subtract fractions.
- Use fractions to solve problems.
- Find a fraction of a quantity or measurement.
- Use fractions to solve problems.
- Multiply whole numbers, fractions and mixed numbers.
- Simplify calculations by cancelling.
- Divide a whole number by a fraction.
- Divide a fraction by a whole number or a fraction.
- Convert fractions to decimals and vice versa.
- Use decimals to find quantities.
- Write one number as a fraction of another.
- Convert percentages to fractions and vice versa.
- Write one number as a percentage of another.
- Convert percentages to decimals and vice versa.
- Find a percentage of a quantity.
- Use percentages to solve problems.
- Calculate simple interest.
- Calculate percentage increases and decreases.
- Use percentages in real-life situations.
- Calculate VAT (value added tax).
- Understand and use inverse equations.
- Rearrange simple linear equations.
- Solve simple linear equations.
- Solve two-step equations.
- Solve linear equations with brackets.
- Solve equations with unknowns on both sides.
- Use correct notation to show inclusive and exclusive inequalities.
- Solve simple linear inequalities.
- Write down whole numbers which satisfy an inequality.
- Represent inequalities on a number line.
- Solve two-sided inequalities.
- Substitute values into formulae and solve equations.
- Change the subject of a formula.
- Know the difference between an expression, an equation, a formula and an identity.
- Recognise and extend sequences.
- Use the nth term to generate terms of a sequence.
- Find the nth term of an arithmetic sequence.
- Identify lines of symmetry and rotational symmetry in 2D shapes.
- Draw angles.
- Know that the angles in a quadrilateral sum to 360°.
- Identify parallel and perpendicular lines.
- Identify acute and obtuse angles.
- Identify different types of triangles.
- Know that the angles in a triangle sum to 180°.
- Recall the number of sides of different polygons.
- Know the properties of special triangles and quadrilaterals.
- Recall the number of interior angles in different polygons.
- Identify exterior and interior angles.
- Using angle facts to find missing angles.
- Understand that sharing equally involves dividing a total.
- Identify the mode.
- Identify the mode, median and range.
- Identify an incorrect value.
- Draw a stem and leaf diagram.
- Understand inequality notation.
- Find the mode, median and mean.
- Calculate the value halfway between pairs of numbers.
- Calculate the mean.
- Read data from a frequency table.
- Understand the use of random numbers in a real-life situation.
- Understand the meaning of ‘perpendicular’.
- Work out the perimeter and area of triangles and rectangles.
- Multiplying and dividing by powers of 10, converting between millimetres, centimetres and metres.
- Know that 1 km = 1000 m
- Multiply and divide by powers of 10.
- Convert between metric measures of area.
- Describe shapes using correct vocabulary, including face, edge and vertex.
- Sketch the net of a cuboid.
- Work out the area of rectangles, triangles and trapezia.
- Identify cross sections of prisms.
- Decide whether a 3D solid is a prism.
- Multiply and divide by large powers of 10.
- Know that 1 litre = 1000 ml.
- Work out the volume and surface area of a prism.
- Solve geometric problems using side and angle properties of quadrilaterals.
- Identify congruent shapes.
- Understand and use the angle properties of parallel lines.
- Find missing angles using corresponding and alternate angles.
- Solve angle problems in triangles.
- Understand angle proofs about triangles.
- Calculate the interior and exterior angles of regular polygons.
- Calculate the interior and exterior angles of polygons.
- Explain why some polygons fit together and some others do not
- Solve angle problems using equations.
- Calculate the mean from a list and from a frequency table.
- Compare sets of data using the mean and range.
- Find the mode, median and range from a stem and leaf diagram.
- Identify outliers.
- Estimate the range from a grouped frequency table.
- Recognise the advantages and disadvantages of each type of average.
- Find the modal class.
- Find the median from a frequency table.
- Estimate the mean of grouped data.
- Understand the need for sampling.
- Understand how to avoid bias.
- Calculate the perimeter and area of rectangles, parallelograms and triangles.
- Estimate lengths, areas and costs.
- Calculate a missing length, given the area.
- Calculate the area and perimeter of trapezia.
- Find the height of a trapezium given its area.
- Convert between area measures.
- Calculate the perimeter and area of shapes made from triangles and rectangles.
- Calculate areas in hectares, and convert between ha and m2.
- Calculate the surface area of a cuboid.
- Calculate the surface area of a prism.
- Calculate the volume of a cuboid.
- Calculate the volume of a prism.
- Solve problems involving surface area and volume.
- Convert between measures of volume.
Subject Overview:
Our Foundation students follow the Edexcel International GCSE (IGCSE) Foundation course which covers the following areas:
Numbers and the number system, Equations, Formulae and Identities, Sequences, Functions and Graphs, Geometry and Trigonometry, Vectors and Transformation Geometry, Statistics and Probability
The qualification consists of two equally-weighted written examination papers. Students can achieve up to a grade 5.
Calculators are required for both papers.
Each paper is 2 hours long and is worth 100 marks.
Assessments:
In Year 9 students are assessed at the end of each unit. There are also End of Term assessments and an End of Year assessment.