Route Map – (Start September 2012) Year 7 3th – 7th Sept

10th-14th Sept

17th – 21st Sept

24th – 28th Sept

1st-5th Oct

8th-12th Oct

15th – 19th Oct

22nd-26th Oct

29th Oct-2nd Nov

5th-9th Nov

Holiday

Introduction

Algebra 1 – 6 hours

Number 1 – 6 hours

10th-14th Dec

24th-28th Dec

G&M 1 – 4 hours

Test 12th-16th Nov

19th -23rd Nov

26th – 30th Nov

3rd -7th Dec

17th-21st Dec

Holiday

G Number 2 – 6 hours & M 1 co nt … st 21 - 25th Jan 28th Jan-1st Feb – 5/ Statistic Number 3 – 8 hours 6 s2–5 les hours so ns

1st -5th Apr Holiday

10th-14th June

8th-12th Apr Holiday

17th-21st Jun

Number 5 – 8 hours

Statistics 1 – 6 hours

31st Dec-4th Jan

7th-11th Jan

14th-18th Jan

Holiday

G&M 2 – 3 hours

Algebra 2 – 5 hours

Statistics 2 – 5 hours

Test 4th-8th Feb

11th-15th Feb

18th-22th Feb Holiday

22nd-26th Apr

Algebra 4 – 4 hours

24th-28th Jun

G&M 4 – 6 hours

1st – 5th Jul Algebra 5 – 8 hours

4th- 8th Mar

Algebra 3 – 6 hours

Algebr a3–6 hours

15th-19th Apr

25th Feb-1st Mar

29th Apr-3rd May Exam week

8th-12th Jul

6th-10th May

15th-21th Jul

G&M 5 – 6 hours

G&M 3 – 5 hours

13th-17th May

G&M 4 – 6 hours

11th-15th Mar

20th-24th May

18th-22nd Mar

25th-29th Mar

Number 4 – 5 hours

27th - 31st May

Alge bra 4– 4 hou rs

3rd-7th Jun

Holiday

Statistics 3 – 8 hours

22rd-26th Jul Holiday

Statistics 3 – 8 hours

Introduction

• Students take part in a series of lessons that help them build on their skills learnt at primary school. •They take part in lessons based on number, geometry and statistics. •At the end of the 3-4 weeks they sit a test that will help us put them into ability sets.

Key Words

Algebra 1

Key Words

Foundation •Recognise & extend number sequences. •Know the square numbers to at least 10x10.

Sequence Square Numbers Positive Negative Integer Rule Variables Nth term

Core •Generate & describe simple integer sequences. •Find a term in a sequence when given a rule. •Generate sequences from practical contexts. •Use letters or symbols to represent unknown numbers or variables. •Suggest extensions to problems by asking ‘What if...?’ Extension •Generate terms of a linear sequence using term to term and position to term. •Begin to use the nth term of a linear sequence

Algebra 2

Key Words

Foundation •Understand and use the relationships between the four operations. •Use Brackets in questions

Brackets Operations Add Subtract Multiply Divide Term Expression Equation Linear Substitute Formulae

Core •Know the meanings of term, expression and equation. •Know algebraic operations follow the same rules as arithmetic operations. •Simplify linear expressions by collecting like terms. •Multiply a single term over a bracket. •Use simple formulae. •Substitute positive integers into simple linear expressions and formulae. •Derive simple formula. •Problem solving skills with algebra & diagrams.

Algebra 2 Continued

Key Words

Extension •Distinguish between letters and symbols in equations, formulae and functions. •Know algebraic operations follow the same rules as arithmetic operations. •Use index notation for small positive integer powers. •Simplify linear equations by collecting like terms. •Multiply a single term over a bracket. •Substitute integers into a simple formulae, including examples that lead to solving. •Substitute positive numbers into expressions involving small powers.

Integer Index Functions Powers

Algebra 3

Key Words

Foundation •Know simple tests of divisibility. •Identify factors of two digit numbers. •Use a calculator to square numbers. •Read & plot coordinates in the first quadrant. •Represent & interpret data in graph form. •Explain patterns & relationships in number.

Divisibility Factor Multiple Common Factor Prime Square Numbers Triangular Numbers Coordinate Quadrants Graph Sequence Parallel Function Decomposition

Core •Recognise & use multiples, factors, common factors and primes. •Recognise triangular numbers & square numbers. •Generate terms of a simple sequence. •Plot graphs of simple linear functions. •Recognise parallel lines to x and y axis. Extension •Prime factor decomposition of numbers.

Algebra 3 Continued

Key Words

Extension Continued •Generate points in all four quadrants. •Plot graphs and start to recognise the form y=mx+c •Represent problems in graphical form.

Y=mx + c Graphical

Algebra 4

Key Words

Foundation •Understand the relationship between the four operations. •Use brackets.

Operations Term Expression Equation Algebraic Arithmetic Like Terms Multiply Linear Formula Function Brackets Unknown

Core •Recap meanings of the words term, expression and equation. •Know algebraic operations follow the same rules as arithmetic operations. •Simplify by collecting like terms. •Multiply a single term over a bracket. •Construct simple linear equations. •Solve simple linear equations. Extension •Know the meanings of formula and function. •Solve linear equations with brackets and an unknown on both sides.

Algebra 5

Recap of all algebra work covered throughout the year. Amend any misconceptions that might occur. Can extend students where necessary.

Key Words

Number 1

Key Words

Foundation •Read & write whole numbers in figures and words. •Use decimal notation •Calculate temperature rise and fall. •Know square numbers. •Use pencil and paper to support efficient methods of working out. •Develop calculator skills.

Whole Numbers Decimal Square Numbers Temperature Degrees Farenheit Place Value Integers Multiply Divide Order Negative Postive Estimations Approximations

Core •Understand decimal notation and place value. •Multiply & divide integers and decimals by 10, 100 & 1000, explain the effect. •Compare & order decimals. •Understand negative numbers. •Make & justify estimations & approximations. •Solve word problems in a range of contexts.

Number 1 Continued

Key Words

Extenson •Add, subtract, multiply and divide numbers using efficient methods. •Recall number facts including fraction to decimal conversions. •Be able to multiply decimals.

Fraction Decimal

Number 2

Key Words

Foundation •Change improper fractions to mixed fractions & vice versa. •Use decimal notation. •Add & subtract mentally.

Mixed Fractions Improper Fractions Proper Fractions Numerator Denominator Simplify Equivalent Percentages Decimals

Core •Simplify fractions by finding a common factor. •Identify equivalent fractions. •Begin to add & subtract fractions with a common denominator. •Multiply a fraction by an integer. •Equivalent of fractions, decimals & percentages. •Break complex calculations by breaking them into smaller steps.

Number 2 Continued

Key Words

Extension •Know a recurring decimal as a fraction. •Calculate fractions f quantities. •Multiply & divide fractions by an integer. •Find the outcome of a percentage increase or decrease. •Recall fraction to decimal conversions.

Recurring Increase Decrease Integer

Number 3

Key Words

Foundation •Know & understand the relationship between the four operations. •Mental & written calculations. •Rounding. •Develop calculator skills.

Operations Calculations Rounding Decimal Places Whole Numbers Inverse Brackets Fractions Decimals Percentages Approximate Estimations

Core •Round to the nearest 10, 100, 1000, whole number or 1 decimal place. •Understand four operations for whole numbers & decimals. •Know inverse operations. •Know & use order of operations including brackets. •Consolidate mental arithmetic to extend to fractions, decimals & percentages. •Solve word problems mentally. •Make & justify approximates & estimates.

Number 3 Continued

Key Words

Core Continued •Convert one metric unit to another. •Read scales on a range of measuring instruments. •Multiply & divide decimals by integers. •Check results by working backwards. •Use measuring problems in every day contexts including the correct unit notation. •Break a complex calculations into smaller steps. •Explain & justify methods orally & in writing.

Metric Units Imperial Units Integers Notation Rounding Equivalent Accuracy Conversions

Extension •Rounding to the nearest whole number or a given number of decimal places. •Multiply decimals by whole numbers. •Multiply decimals by decimals and think about equivalent calculations to position the decimal point. •Know metric to imperial conversions. •Give answers to a appropriate degree of accuracy.

Number 4

Key Words

Foundation •Relate fractions to division. •Find fractions of whole number quantities •Find percentages of whole number quantities. •Solve problems involving ratio & proportion.

Fractions Divison Percentages Ratio Proportion Quantities Decimals Parts

Core •Recognise equivalent fractions, decimals & percentages. •Use percentages to compare simple proportions. •Understand the relationship between ratio & proportion. •Direct proportion in simple contexts. •Ratio notation & simplest form. •Divide a quantity into two parts of a give ratio. •Solve problems involving ratio & proportion. •Check results by working backwards.

Number 4 Continued

Key Words

Extension •Express numbers as a percentage of another number. •Use equivalent fractions, decimals & percentages. •Divide quantity into two or more parts of a given ratio. •Use unitary method to solve ratio & proportion problems.

Unitary

Number 5

Recap of all number work covered throughout the year. Amend any misconceptions that might occur. Can extend students where necessary.

Key Words

Geometry & Measure 1

Key Words

Foundation •Identify nets for an open cube. •Measure & draw lines to the nearest millimetre. •Record estimates from scales to a suitable degree of accuracy. •Understand units for area. •Calculate perimeter for rectangles & regular polygons.

Nets Measure Draw Accurate Perimeter Area Polygons Regular Irregular Rectangles 2d 3d Shapes Formula

Core •Use 2d representations to visualise 3d shapes. •Recognise properties of 2d & 3d shapes. •Solve problems in every day contexts involving length & area. •Know the formula for the area of a rectangle, use this to find the area & perimeter of shapes made from rectangles.

Geometry & Measure 1 Continued

Key Words

Core continued •Calculate surface area of cubes & cuboids.

Surface Area Scale Triangle Parallelogram Trapezium Compound Shapes Circle Area Circumference Volume Cuboid.

Extension •Make simple scale drawings. •Deduce & use formulas for triangle, parallelogram & trapeziums. •Know & use the formula for the volume of a cuboid. •Circumference & area of circles.

Geometry & Measure 2

Key Words

Foundation •Recognise positions. •Recognise properties of rectangles. •Classify triangles using criteria equal sides, angles and lines of symmetry. •Read & plot coordinates in the first quadrant.

Symmetry Properties Quadrants Coordinates Line Angle Shapes Parallel Perpendicular Sum

Core •Use vocabulary and notation for lines, angles & shapes. •Identify parallel & perpendicular lines. •Know the sum of angles at a point and on a straight line. •Recognise vertically opposite angles. •Use notation for 2d coordinates in all 4 quadrants. •Find coordinates determined by geometric information.

Geometry & Measure 2

Key Words

Core Continued •Estimate acute, obtuse & reflex angles.

Acute Obtuse Reflex Alternate Corresponding Proof Interior Quadrilaterals Opposite

Extension •Identify alternate & corresponding angles. •Understand the proof that angle sum of a triangle is 180o and a quadrilateral is 360o •Exterior angle of a triangle is equal to the sum of the opposite two interior angles. •Classify quadrilaterals by their geometric properties.

Geometry & Measure 3

Key Words

Foundation •Recognise reflection symmetry. •Recognise where a shape will be after reflection. •Recognise where a shape will be after translation. •Calculate angles in a straight line, around a point or in a triangle. •Use a protractor to draw angles to the nearest degree.

Symmetry Translation Reflection Rotation Protractor Straight Degree Properties Constructions

Core •Begin to use properties of triangles and quadrilaterals. •Explain reasoning with diagrams and text. •Use 2d representation to visualise 3d shapes. •Use a ruler & protractor to draw lines & angles. •Construct a triangle using compasses, rulers and protractors given the appropriate information.

Geometry & Measure 3

Key Words

Extension •Solve problems on special triangles & quadrilaterals. •Use straight edge & compasses to construct – a perpendicular bisector, an angle bisector. •Construct a triangle using compasses, rulers and protractors given the appropriate information.

Triangles Constructions Bisector Perpendicular Angle Bisector

Geometry & Measure 4

Key Words

Foundation •Recognise reflection symmetry. •Recognise where a shape will be after reflection. •Recognise where a shape will be after translation.

Reflection Symmetry Translation Mirror Line

Core •Understand & use notation involving reflections, translations & rotations. •Recognise & visualise the transformation and symmetry of a 2d shape. •Reflection in given mirror lines & line symmetry. •Rotation about a given point & rotation symmetry. •Translation •Solve word problems and in shape & space contexts. •Suggest extension to problems by asking ‘What If...?’

Geometry & Measure 4

Key Words

Extension •Transform 2d shapes by simple connections of rotations, reflections and translations. •Identify all the symmetries of 2d shapes. •Understand & us the vocabulary associated with enlargements. •Enlarge 2d shapes given a centre of enlargement and a positive whole number scale factor.

Enlargement Scale Factor Centre of Enlargement

Geometry & Measure 5

Recap of all geometry & measure work covered throughout the year. Amend any misconceptions that might occur. Can extend students where necessary.

Key Words

Statistics 1

Key Words

Foundation •Solve problems by using and interpreting data in charts, graphs and diagrams (bar charts, line graphs and frequency tables).

Data Bar Chart Line Graph Frequency Tables Frequency Diagrams Mode Median Mean Range Probability Outcome Event Mutually Exclusive

Core •Calculate statistics for small sets of data; mode, median & range. •Interpret diagrams and graphs including pie charts. •Draw conclusions based on the shape of graphs and statistics. •Use vocabulary and ideas of probability. •Understand and use probability scale from 0 to 1. •Find and justify probabilities based on equally likely outcomes. •Identify all the possible mutually exclusive outcomes for the same event.

Statistics 1 Continued

Key Words

Core Continued •Collect data from a simple experiment and estimate probabilities based on these results.

Data Results

Extension •Recognise when its appropriate to use range, mean, median & mode. •Know that the probability of an event not occurring it 1-p. •Find an record all possible mutually exclusive outcomes for 2 events in a systematic way.

Statistics 2

Key Words

Foundation •Solve problems by using and interpreting data in charts, graphs and diagrams (bar charts, line graphs and frequency tables).

Bar Charts Line Graphs Frequency tables Pie Charts Discrete Continuous

Core •Suggest possible answers for a problem that can be addressed by statistical methods. •Decide which data is relevant to a given enquiry. •Plan how to collect small sets of data. •Design a data collection sheet or questionnaire. •Construct frequency tables for discrete data in equal class intervals. •Collect small sets of data from a survey or experiment. •Use ICT to draw & represent data. •Use ICT to generate pie charts.

Statistics 2

Key Words

Extension •Decide degree of accuracy needed for the data. •Plan how to collect data including sample size. •Construct on paper & using ICT pie charts for categorical data, simple line graphs for time series.

Data Categorical Sample Accuracy

Statistics 3

Recap of all statistics work covered throughout the year. Amend any misconceptions that might occur. Can extend students where necessary.

Key Words