# Mathematics

We aim to develop talented mathematicians with excellent problem solving skills. Our teaching aims to promote understanding and enthusiasm with general and topic based maths. We are a very successful department with a record of outstanding results.

## Facilities

There are 9 specialised classrooms in the department, with practical and interesting displays. Each has a ceiling mounted projector, an interactive whiteboard and ample storage space. We have two bookable laptop trolleys, 2 digital visualisers and 2 class interactive learning kits. Our students are encouraged in the use of relevant IT resources including the 'MyMaths' website and some key IT packages, used in graphing and transformations. Mathematics is taught in groups set by ability, with schemes of work facilitating ease of movement between groups if required.

## Key Stage Three

Students in Years 7 and 8 learn according to a detailed scheme of work designed to follow an ability related 'flightpath' to ensure maximum progress, regardless of their starting point. The work over these two years is designed to thoroughly prepare students for their GCSE course. Class sets for lower ability pupils are kept as small as possible to maximise support. Since the changes to the maths curriculum over the last few years, students now start the GCSE course in Year 9.

## GCSE

Our GCSE students follow the new specification AQA linear course, module code 8300. Due to the added content and rigour, under which the new courses and exams are have been developed, the highest grade will be more challenging than achieving an A* on the old system. The Judgemeadow maths staff will continue to develop and progress our students' learning, to remain as one of the best performing schools in the city.

For students who have purchased mathematics CGP revision guides and/or workbooks, the workbooks answers are available below:

### Year 7 Autumn term

Topic Overview
• Settling in: puzzles and problem solving
• Calendar and time
• Place value: understand the value of digits in integers and decimals
• Order and compare numbers
• Calculate the median
• Addition & subtraction:integers and decimals, use of financial language, use of calculator
• Rounding and estimation: to nearest 10,100, 1000, to decimal places
• Perimeters: understand terminology, measure & draw lines, calculate perimeters of shapes
Multiply and divide
• Times tables, convert between metric units
• Multiplication and division including decimals
• Positive integer powers and real roots (square, cube, powers of 2,3,4,5
• Area of a rectangle, square, triangle
• Calculate the mean
• Prime numbers, factors, multiples, HCF, LCM
• Number problem solving
• Use of a calculator

### Year 7 Spring term

Topic Overview
Geometry
• Directions: use a compass to give directions
• Draw and measure lines and angles accurately
• Use of a protractor
• Parallel and perpendicular lines
• Find unknown angles, straight lines around a point
• Properties of triangles and quadrilaterals
• Tessellations using triangles and quadrilaterals
• Tangram investigations
Fractions
• Equivalent fractions
• Add and subtract fractions with same and different denominations
• Convert decimals to fractions and fractions to decimals
• Compare and order fractions and decimals
• Convert mixed numbers and improper fractions
• Add and subtract mixed numbers
• Find fraction of a quantity
• Problem solving and calculator use

### Year 7 Summer Term

Topic Overview
Algebra
• Order of operations (BIDMAS): to use BIDMAS to carry out calculations
• Recall algebraic names such as term, expression, sequence etc
• Use and understand algebraic notation
• Simplifying algebraic expressions
• Substitution into formulae including negative numbers
• Set up and solve word problems with expressions: use a formula to calculate costs such as pay, bills
• Generate sequences (term to term, not nth term
• Square, triangular and Fibonacci sequences
Percentage and statistics
• Percentages: increase and decrease, percentage of a quantity, financial skills - income tax, prices
• Statistics: construct and interpret statistical diagrams, tables and charts
• Calculate mean, median and mode
• Construct a pie chart and read/interpret information

### Year 8 Autumn Term

Topic Overview
Ratio & Proportion
• Understand ratio notation
• Write ratio in the form 1:n, as a fraction
• Use proportion to solve problems
• Calculate & compare best buys, recipe problems
• Divide quantity into ratio, find ratio values, given a ratio and quantity - find the other
Geometry & Measures 1
• Congruent shapes
• Measure & draw lines and angles accurately
• Use simple scale drawings, scale on a map
• Draw triangles given 3 sides, 2 sides & angle, 2 angles & side
Fractions, Decimals and Ratio
• Find equivalent fractions, simplify fractions
• Convert fractions, decimals and percentages without using a calculator
• Add and subtract decimals and fractions
• Solve problems involving decimals and fractions
Geometry and Measures 2
• Lines of symmetry & rotational symmetry on 2D shapes
• Reflect shapes in the axes of a graph
• Enlarge shapes by positive scale, state scale factor
• Rotate & translate shapes about an origin
• Tessellation
Statistics 1: Collecting and presenting data
• Design and use of tally charts
• Construct & interpret line graphs, bar charts, dual bar charts, pie charts, scatter graphs

### Year 8 Spring Term

Topic Overview
Statistics 2: Statistical Measures
• Find mode, range, mean for a set of numbers
• Find the median for odd and even set of numbers
• Calculate mean for frequency distribution
Algebra 1: Making sense of algebra & sequences
• Simplify expressions, work out value of an expression
• Continue a sequence of diagrams & numbers
• Write the terms of a sequence, generate sequences, find a term in a sequence
• Recognise and use sequences of triangular, square and cube numbers, Fibonacci sequences and quadractic sequences
Algebra 2: Solving equations
• Set up and solve simple equations leading to more complicated equations
Algebra 3: Graphs
• Use co-ordinates in all 4 quadrants
• Draw lines, produce a table of values for equations
• Solve problems such as where one line crosses another
Algebra 4: Expressions and Formulae
• Use a formula in words
• Substitute positive and negative numbers into a simple formula
• Use formula from other subjects
• Derive simple expressions
Geometry & Measures 3: Lines angles and shapes
• Identify isosceles, scalene, equilateral and right angled triangles; Recognise parallelogram, rhombus, trapezium
• Properties of angles at a point and on a straight line
• Use standard conventions for labeling sides and angles of polygons
• Calculate interior and exterior angles of a quadrilateral
Geometry and Measures 4: Nets Elevations and Pythagoras
• Draw a net of a simple shape such as a box
• Recognise the net of a simple solid
• Draw plans and elevations of simple solids on squared paper
• Draw simple shapes on isometric paper

### Year 8 Summer Term

Topic

Overview

Geometry & Measures 5: Perimeter, Area and Volume
• Work out & draw area & perimeter of a rectangle
• Find volume of cube and cuboid
• Find the area of a triangle, trapezium and parallelogram
• Find area and perimeter of a compound shapes made from rectangles and triangles
Ratio, Proportion, Rates of Change 1: Percentages
• Work out percentages without a calculator
• Compare decimals, percentages and fractions
• Increase or decrease by % and by using a decimal multiplier
Algebra 5: Real life graphs
• Read & plot values on conversion graph
• Interpret horizontal lines on a distance/time graph
• Carry out simple and more advanced interpretations from distance/time graphs
Ratio, Proportion, Rates of Change 2: Measures
• Appropriate measures for everyday situations
• Read, write, use and convert between standard metric units
• Read dates from a calendar, convert between 12 and 24 hour clock
• Reading a clock face: hours, fractions of hours, time in hours & minutes, add and subtract times
• Read values from a timetable
• Complex time calculations

### Year 9

https://www.aqa.org.uk/subjects/mathematics/gcse/mathematics-8300

### Year 9 Autumn Term

Topic

Overview

Number 1
• Types of number, estimating and approximating
• Fractions and decimals
Number 2
• Ratio, proportion, percentages, indices

### Year 9 Spring Term

Topic

Overview

Number 2 continued
• Ratio, proportion, percentages, indices
Algebra 1
• Making sense of algebra and sequences
Geometry 1
• Lines, angles, shapes and Measures

### Year 9 Summer Term

Topic Overview
Statistics 1
• Statistical measures
Algebra 2
• Solving equations, inequalities
Shape 2
• Nets, elevations, Pythagoras' Theorem
Algebra 3
• Using expression and formulae

### Year 10 Autumn Term

Topic Overview
Geometry 3
• Area, perimeter and volume
Number 1
• Surds (higher students)
Statistics 2
• Collecting data
Statistics 3
• Drawing and interpreting graphs and charts

### Year 10 Spring Term

Topic Overview
Algebra 4
• Co-ordinates, plotting and sketching graphs
Geometry 4
• Trigonometry
Statistics 4
• Probability

### Year 10 Summer Term

Topic Overview
Algebra 5
• Equations with fractions
• Simultaneous equations
Geometry 5
• Transformations (reflection, rotation, enlargement, translation
• Vectors
Shape 2
• Nets, elevations and Pythagoras' Theorem
Algebra 6
• Using expressions and formulae

### Year 11 Autumn Term

Topic Overview
Geometry 5
• Consolidate transformations (F)
• Vectors (H)
Algebra 7
• Real life graphs
Geometry 6
• Constructions and loci
Algebra 8
• Quadratic, cubic, circular and exponential functions

### Year 11 Spring Term

Topic Overview
Algebra 9
• Quadratic, cubic, circular and exponential functions continued
Geometry 7
• Circle theorems

### Year 11 Summer Term

Topic Overview
Revision
• Revision and consolidation
• Practice exam papers
• Final exam preparation

## Extra-Curricular

We have an excellent staff team who are very committed to ensuring that students have as much help and support as possible. Staff in the department offer after-school revision classes to Year 11 students once a week. We also offer a Maths Study Club, after school once a week, for students in other year groups to receive additional help with homework and classwork. In addition, we run revision sessions for Year 11 students over the Easter holiday.

## Independent Learning

Independent Learning has a considerable impact on the progress of our students. Students are set homework by their teachers on a regular basis. Set work is a mixture of worksheets, online based homework tasks and revision/preparation for assessments.

The maths department has a subscription to the website; https://vle.mathswatch.co.uk/vle/

All students have their own unique login and password to site, where they can access and complete tasks which have been set by the class teacher.

All students are set homework activities relevant to their current ability, which will help them to progress towards their target levels. Teachers are able to track their progress through the task results. Please note that homework tasks are compulsory but in addition to regular homework, but we would recommend that students who are keen to make good progress revise previous work in their own time, using the online lessons, in the form of excellent tuition videos, guidance, modeled and practice questions.

The department also has a subscription to: http://www.mymaths.co.uk/., which again is a very useful site for revision and maths practice.

### Key Stage 4 Topic Lists

These documents list the topics of study, including grades, for Years 9, 10 and 11.