# Maths

## Maths

Departmental Intent

The mathematics curriculum will encourage students to use critical thinking skills and logical reasoning required for future education, training and employment.

Students will be equipped with the skills to make links with the wider curriculum and appreciate the impact and influence that mathematics has on their daily lives. Students will develop their fluency of numerical skills in order to confidently select the appropriate tools to solve problems in a real-life context.

YEAR 7
YEAR 8
YEAR 9
YEAR 10
YEAR 11
YEAR 7

## TERM 1

Number:

An introduction to the number work students will need to access the Grace Academy Maths curriculum. Throughout lessons there will be lots of opportunities to problem solve and apply the topics to multiple contexts.

Topics Include:

• BIDMAS
• Adding/Subtracting/Multiplying and Dividing with positive and negative numbers
• Rounding to decimal places, significant figures and truncating
• Estimating calculations
• Multiplying and dividing with decimals
• Squares, Cubes, Roots, Indices introduction and its use in calculations
• Factors, multiples and primes including highest common factor, lowest common multiple and prime factorisation
• Adding/Subtracting/Multiplying and Dividing fractions including mixed numbers and improper
• Fractions of amounts and reciprocals

## TERM 2

Area, Perimeter, Angles and Percentages: An introduction to geometry and a chance to apply their prior learning into new contexts. All of the previous number work will be developed into their geometry work.

Topics Include:

• Area and perimeter of rectangles, parallelograms, triangles, trapeziums and compound shapes
• Angles around a point, angles in triangles and quadrilaterals, angles in parallel lines and angles in polygons
• Finding percentages of amounts, increasing and decreasing by a given percentage and introducing percentage multipliers

## TERM 3

Ratio and Proportion and Algebra: Students will start to develop their proportional reasoning skills. These skills will play a vital part in the rest of their studies at Grace. Students will also be introduced to algebraic expressions and how we use letters to represent variables.

Topics Include:

• Simplifying ratios, dividing into given ratios
• The unitary method and proportional reasoning; application to recipe questions and real-world examples
• Writing algebraic expressions, collecting like terms
• Substitution into expressions and formulae
• Expanding and factorising - single brackets

YEAR 8

## TERM 1

Algebra, Standard Form, Construction and Statistics: Students will develop their algebraic skills, construct using compasses and analyse data in different ways.

Topics include:

• Expand and simplify expressions, solving and rearranging equations
• Multiplication/ Division and Power Laws of indices
• Writing to and from standard form and their calculations
• Constructing triangles, perpendicular bisectors and angle bisectors
• Calculating averages from a list of data and frequency tables
• Representing data on Frequency polygons and Scatter Graphs

### TERM 2

Graphs, Ratio and Proportion SDT, Volume and SA: Students will apply their algebraic skills to draw graphs including distance/time graphs. Students build on their knowledge of area and perimeter with Volume and Surface area

Topics include:

• Recognising and plotting straight line and curved graphs
• Volume and Surface Area of 3-D shapes including cuboids triangular prisms and cylinders
• Ratio and proportioning linking into Speed, Distance, Time problems

### TERM 3

Converting, Pythagoras, Probability and sequences: Students will be able to convert between units of length, mass and capacity, apply Pythagoras’s theorem and learn how to write probabilities

Topics include:

• Metric conversions
• Upper/ Lower bounds, Using a calculator effectively
• Calculating missing sides using Pythagoras’s theorem
• Finding probability of single events/ events not happening
• Using experimental and theoretical probability
• Introduction to sequences

YEAR 9

### TERM 1

Expressions, Angles, Similar Shapes, Data Handling, Fractions, Decimals, Percentages, Ratio and Proportion: Students will consolidate some previous key concepts and apply them to solving more complex problems at Foundation GCSE level. Higher topics are highlighted in red

Topics include:

• Review index Laws
• Writing expressions from shapes, set up and solve equations
• Algebraic Fractions – Add/ Subtract/ Multiply/ Divide and Simplify
• Angles in parallel lines, Interior/ Exterior angles of polygons
• Congruent and similar shapes
• Congruence/ geometric proof
• Mean from frequency table, Estimate of the mean from grouped frequency table
• Quartiles, IQR, Cumulative Frequency, Box plots, Histograms
• Compare and convert between Fractions, Decimals and Percentages, Fractions of… Percentage of…
• Using percentage multipliers, simple/ compound interest, reverse %
• Converting recurring decimals to fractions

### TERM 2

Formulae and functions, Working in 2D, Probability and combined Events:

Topics include:

• Substituting into and rearranging formulae
• Expand double brackets and factorise into double bracket
• Expand Triple Brackets, using function notation, AC method, Algebraic Proof
• Bearings
• Mixed Areas
• Transformations
• Negative Enlargements
• Probability; Relative frequency, Venn diagrams and Tree diagrams
• Set notation

### TERM 3

Measures and Accuracy, Solving Equations and Inequalities:

Topics include:

• Using appropriate accuracy, estimating calculations, using a calculator effectively
• Density, Mass, Volume
• Error Intervals
• Upper and Lower bound calculations
• Set up and solve equations
• Solve inequalities, represent on a number line
• Simultaneous equations
• Solving Simultaneous equations and inequalities graphically. Quadratic inequalities. Equations involving indices
YEAR 10

### TERM 1

Circles and Construction, Prime factorisation, Graphs, Working in 3D:

Topics include:

• Compound shapes involving circles
• Constructing triangles, perpendicular and angle bisectors
• Circle theorems, arc length/ sector area
• Highest Common Factors/ Lowest Common Multiples, prime factorisation
• Efficient calculator work
• Simplify/ Multiply/ Rationalise Surds
• Plotting straight-linear graphs, Y = mx + c
• Distance/Time graphs
• Properties of quadratic graphs, roots, minimum points, completing the square, iterations
• Plans and elevations
• Volume/ surface area of prisms
• Volume of a pyramid/ sphere

### TERM 2

Calculations, Graphs, Compound units and Proportion:

Topics include:

• Indices, Standard form and Exact calculations
• Fractional/ Negative powers, surd form
• Trigonometric, reciprocal, exponential, circle graphs. Tangent to a curve. Estimating an area under a velocity/time graph
• Compound Units, Rates of change
• Scale factors of length
• Proportion equations, scale factors of area and volume

### TERM 3

Sequences, Pythagoras and Trigonometry:

Topics include:

• Using and finding an nth term of an arithmetic sequence
• Fibonacci, geometric sequences
• Use and apply Pythagoras and SOHCAHTOA
• Vectors introduction
• Exact Values of trigonometry
• 3-D Pythagoras, Sine rule, Cosine rule, 1/2absinC, Vector proofs

YEAR 11

### TERM 1

Key topics to be reviewed from year 10:

Foundation – sequences, plotting straight line/quadratic graphs, solving Equations, set up and solve equations. Angle properties/ angles on parallel lines/ interior/exterior angles of a polygon. Pythagoras and vectors.

Higher –Two-way tables, negative/fractional indices, compound interest, depreciation, reverse mean and converting recurring decimals to fractions. Equations of a line and quadratic sequences. Angles on parallel lines and solving problems involving circles.

TERM 2

Key topics to be reviewed from initial Mock Exams:

Foundation - Estimating calculations, Multiply/ Divide – whole numbers and decimals,

Fractions, Decimals and Percentage, % increase/ decrease, ratio and proportioning topics.

Revise Equations – one-step/ two-step/ unknown on both sides. Bearings and Probability.

Higher – Revise Standard Form and its application, product rule for counting, setting up direct and inverse proportion equations. Iterations, link graphs- quadratic and straight-line intercepts, solving inequalities/ quadratics inequalities, gradient of a tangent/line, area under a S/T graph, exponential graphs, algebraic proof. Proving vectors are parallel

### TERM 3

Key topics to be reviewed from Mock Exams:

Foundation – 2/3 topics revised per lesson and informed from QLAs of mock exams

Highers – 2/3 topics revised per lesson and informed from QLAs of mock exams