# Remote
access
log-in # Maths ### Mathematics is a subject that all students need. In addition to the acquisition of vital numeracy skills needed for the future, it is also a field that should be enjoyed.

It is the aim of the Maths department that all students become fluent and confident with Mathematics. The study of Mathematics can provide answers to everyday questions that cannot be solved in any other way. More than just being a subject and qualification which is required at school, it is a subject of wonder and joy. Problems are used in lessons to provide enjoyment and foster creativity.

At KS3 level there is a big focus in the lessons on becoming fluent with the basic skills before progressing on to reason answers, in slightly different context and then problem solving in an unfamiliar or unusual way.

Problem solving now makes up a key role in the National curriculum and in exams at all levels. It is for this reason that we train the students to attempt questions in different ways and we build up the ability of the pupils to become resilient and persevere with the work, even when it seems difficult.

The aims and objectives of the Mathematics GCSE are to enable students to:

• develop fluent knowledge, skills and understanding of mathematical methods and concepts
• acquire, select and apply mathematical techniques to solve problems
• reason mathematically, make deductions and inferences, and draw conclusions
• comprehend, interpret and communicate mathematical information in a variety of forms appropriate to the information and context.

The study of the GCSE material begins in year 9 and during the three years the students cover the following six areas:

1 Number

2 Algebra

3 Ratio, proportion and rates of change

4 Geometry and measures

5 Probability

6 Statistics

### Courses in Maths

Key Stage 4

• GCSE Mathematics (9-1) (Edexcel)

## Year 9

 Half term Topic Lesson Outcomes Assessment Half term 1 ALGEBRA: BASICS Collecting like terms Algebra #1 Collecting like terms Multiply and divide simple algebraic expressions Use index notation when multiply and dividing algebraic terms Write an expression / equation / formula / identity EXPRESSIONS AND SUBSTITUTION INTO FORMULA expand brackets factorise into brackets write expressions involving powers substitute numbers into algebraic expressions SEQUENCES continue a sequence and find the next term Algebra #2 Use function machines to find the next term in a sequence find the next term in a sequence including Fibonacci, squares and cubes and diagrams generate sequences using nth term find the nth term and use to find any term find the nth term and use to find any term determine if a term is in the sequence determine if a term is in the sequence continue a geometric sequence continue a quadratic sequence Half term 2 EQUATIONS AND INEQUALITIES solve any two step equation Algebra #3 solve any two step equation write expressions and set up simple equations involving words and shape write expressions and set up simple equations involving words and shape Use inequality notation Show inequalities on a number line Solve inequalities Use inequalities to show error intervals in rounding Mini-assessment and Revision Revision lesson Sequences Problem solving and Exam question practice STRAIGHT LINE GRAPHS Draw horizontal and vertical straight lines Algebra #4 Plot graphs of y=mx + c from tables and interpret Plot graphs of y=mx + c from tables and interpret Sketch a graph using the y intercept and gradient and interpret Work with parallel lines find equation of a line find equation of a line find equation of a line through one point when given a gradient APPLYING GRAPHS find co-ordinates including those of missing points on a shape find midpoints from co-ordinates and from graph distance time graphs velocity time graphs currency conversion graphs fixed charge and cost per unit graphs find gradient and interpret gradient as rate of change Mini-assessment and Revision Revision lesson Straight line and real life graphs Problem solving and Exam question practice

 Half term 3 INTEGERS PLACE VALUE Order positive, negative, decimal numbers including using inequality symbols Number #1 4 operations with negative numbers multiply and divide by powers of 10 BIDMAS inverse operations INDICES, POWERS AND ROOTS evaluate numerical powers up to power of 5 square and cube roots laws of indices multiply and divide laws of indices brackets use of calculators FACTORS, MULTIPLES AND PRIMES factors including HCF Number #2 multiples including LCM prime numbers and product of prime HCF and LCM from product of prime INDICES AND STANDARD FORM laws of indices fractional and negative powers write numbers in standard form write numbers in standard form 4 operations with numbers in standard form Half term 4 DECIMALS 4 operations with decimals Number #3 calculations with money round to nearest decimal place and 1 sf estimation by rounding to 1 sig fig FRACTIONS, DECIMALS, PERCENTAGES Write fractions and cancel down Equivalent fractions Order fractions Mixed numbers to improper fractions 4 operations with fractions 4 operations with fractions convert fractions to decimals and percentages convert fractions to decimals and percentages PERCENTAGES express one number as a percentage of another Number #4 find any % of amount percentage increase / decrease Worded percentage increase / decrease percentage increase / decrease using a multiplier simple interest compound interest compound interest

 Half term 5 PROPERTIES OF SHAPES, LINES AND ANGLES Identify parallel and perpendicular lines and use angle notation Shape # 1 properties of triangles and quadrilaterals including using a co-ordinate grid angles on a line and around a point angles in triangles angles in quadrilaterals angles in parallel lines angles in parallel lines Mini-assessment and Revision Revision lesson Properties of shapes lines and angles Problem solving and Exam question practice INTERIOR EXTERIOR ANGLES Calculate interior angle in regular polygon Shape # 2 Calculate interior angle in irregular polygon Use exterior and interior angles in angle problems Use exterior and interior angles in angle problems Prove tessellation using angles Mini-assessment and Revision Revision lesson Fractions, Decimals, Percentages Problem solving and Exam question practice RIGHT ANGLED TRIANGLES Pythagoras finding hypotenuse Shape # 3 Pythagoras shorter side problem solve Pythagoras trigonometry finding side trigonometry finding angle exact trig vales Half term 6 PERIEMTER, AREA AND VOLUME Perimeter of regular and compound shapes Shape # 4 Area of triangles of rectangles Area of trapezium Area of parallelogram Area of compound shapes Surface area Volume of prism Volume of prism Volume of cylinders Mini-assessment and Revision Revision lesson Perimeter, Area, Volume Problem solving and Exam question practice TRANSFORMATIONS reflect shapes in a mirror lines Shape # 5 fully describe reflections rotate shapes fully describe rotations enlarge shapes by a positive integer enlarge shapes by a fraction or negative number describe enlargement perform a perform multiple transformations describe multiple transformations similar shapes and congruency similar shapes and congruency Compass directions and constructions compass directions and use of scales on maps Shape # 6 compass directions and use of scales on maps Draw circles and arcs to a given radius or diameter 3d shapes - draw sketches, identify face, vertex, edge accurately construct triangles accurately construct triangles

## Year 10

 Half Term Topic Learning Outcomes Assessment Half term 1 QUADRATIC EQUATIONS expand single brackets Algebra #5 expand two brackets square a linear expression factorise single brackets factorise quadratic difference of two squares solve quadratic expression by factorising QUADRATIC GRAPHS plot linear graphs Algebra #6 generate and plot simple quadratic graphs generate and plot simple quadratic graphs interpret quadratic graphs EQUATIONS REVISION solve any two step equation Algebra #7 solve any equation write expressions and set up simple equations involving words and shape

 Half Term Topic Learning Outcomes Assessment Half term 2 REARRANGING EQUATIONS, CUBICS, RECIPROCAL AND SIMULTANEOUS EQUATIONS change the subject of a formula Algebra #8 Simultaneous equations draw cubic and reciprocal graphs VECTORS Translate shapes by vector Algebra #9 Use column notation Use column notation graphically Calculate sums of multiple vectors Calculate sums of multiple vectors Know (proof) if a vector is parallel SEQUENCES REVISION find the next term in a sequence including Fibonacci, squares and cubes and diagrams Algebra #10 generating a sequences given the nth term find the nth term and use to find any term determine if a term is in the sequence continue a quadratic sequence

 Half Term Topic Learning Outcomes Assessment Half term 3 RATIO Simplify ratios and use equivalent ratios Number #5 Share ratios into a given quantity use ratio in the form 1:n Reverse Ratios Ratios in shape Multiplicative relationships between two rates and fractions Problems involving three ratios PROPORTION Double and half recipes Number #6 Scale up or down recipes Find limiting ingredients in recipes solve best buy problems solve proportion using unitary method direct proportion inverse proportion

 Half Term Topic Learning Outcomes Assessment Half term 4 MULTIPLICATIVE REASONING convert between metric units Number #7 speed density pressure convert compound units compound interest use a variety of measures in ratio and proportion problems growth and decay problems CONSTRUCTION, LOCI AND BEARINGS construct and bisect angles and lines Number #8 loci bearings loci and bearings combined

 Half Term Topic Learning Outcomes Assessment Half term 5 PERIMETER, AREA, VOLUME 2: CIRCLES, CYLINDERS, CONES Find the circumference of a circle including in terms of pi (calc) Shape #4 Find the circumference of a circle including in terms of pi (non-calc) Find the area of a circle including in terms of pi (calc) Find the area of a circle including in terms of pi (non-calc) Find perimeter and area of parts of a circles and composite shapes Find arc lengths and sector areas Surface area and volume of cylinder Surface area and volume of pyramid, cone SIMILARITY AND CONGRUENCY basic criteria for congruency for triangles Shape #5 solve angle problems involving congruency use scale factors with similar shapes find missing sides in similar shapes

 Half Term Topic Learning Outcomes Assessment Half term 6 TABLES, CHARTS, GRAPHS time calculations Stats #1 construct and interpret a frequency table and bar charts line graphs including interpret two way tables and frequency trees back to back stem and leaf histograms PIE CHARTS Construct pie charts Interpret pie charts Compare pie charts with other charts SCATTER GRAPHS Draw and interpret scatter graph Extrapolation / Interpolation STATISTICS, SAMPLING AND AVERAGES understand sample, population, types of data Stats #2 all averages from data all averages from graphs and charts all 4 averages from frequency table all 4 averages from frequency table reverse averages