Holiday Algebr bra 4 hours 4 ns hou rs

Transcription

1 Route Map (Start September 2012) Year 7 3 th 7 th Sept 10 th -14 th Sept 17 th 21 st Sept 24 th 28 th Sept 1 st -5 th Oct 8 th -12 th Oct 15 th 19 th Oct 22 nd -26 th Oct 29 th Oct-2 nd Nov 5 th -9 th Nov Introduction Test Algebra 1 6 hours Number 1 6 hours G&M 1 4 hours 12 th -16 th Nov 19 th -23 rd Nov 26 th 30 th Nov 3 rd -7 th Dec 10 th -14 th Dec 17 th -21 st Dec 24 th -28 th Dec 31 st Dec-4 th Jan 7 th -11 th Jan 14 th -18 th Jan Holiday Holiday G Number 2 6 hours Statistics 1 6 hours Algebra 2 5 hours G&M 2 3 Statistics 2 & hours 5 hours M 1 co Test nt 21 st - 25 th Jan 28 th Jan-1st Feb 4 th -8 th Feb 11 th -15 th Feb 18 th -22 th Feb 25 th Feb-1 st Mar 4 th - 8 th Mar 11 th -15 th Mar 18 th -22 nd Mar 25 th -29 th Mar 5/ Holiday Algebra 3 6 hours G&M 3 5 hours Number 4 5 hours Alge 6 Statistic Number 3 8 hours Algebr bra les s 2 5 a so hours hours 4 ns hou rs 1 st -5 th Apr 8 th -12 th Apr 15 th -19 th Apr 22 nd -26 th Apr 29 th Apr-3 rd May 6 th -10 th May 13 th -17 th May 20 th -24 th May 27 th - 31 st May 3 rd -7 th Jun Holiday Holiday Exam week Holiday Algebra 4 4 G&M 4 G&M 4 6 hours Statistics 3 8 hours hours Statistics 3 6 hours 8 hours Holiday 10 th -14 th June 17 th -21 st Jun 24 th -28 th Jun 1 st 5 th Jul 8 th -12 th Jul 15 th -21 th Jul 22 rd -26 th Jul Holiday Number 5 8 hours Algebra 5 8 hours G&M 5 6 hours

2 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.

3 Algebra 1 Foundation Recognise & extend number sequences. Know the square numbers to at least 10x10. 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...? Sequence Square Numbers Positive Negative Integer Rule Variables Nth term 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

4 Algebra 2 Foundation Understand and use the relationships between the four operations. Use Brackets in questions 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. Brackets Operations Add Subtract Multiply Divide Term Expression Equation Linear Substitute Formulae

5 Algebra 2 Continued 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

6 Algebra 3 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. 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. Divisibility Factor Multiple Common Factor Prime Square Numbers Triangular Numbers Coordinate Quadrants Graph Sequence Parallel Function Decomposition Extension Prime factor decomposition of numbers.

7 Algebra 3 Continued 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

8 Algebra 4 Foundation Understand the relationship between the four operations. Use brackets. 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. Operations Term Expression Equation Algebraic Arithmetic Like Terms Multiply Linear Formula Function Brackets Unknown Extension Know the meanings of formula and function. Solve linear equations with brackets and an unknown on both sides.

9 Algebra 5 Recap of all algebra work covered throughout the year. Amend any misconceptions that might occur. Can extend students where necessary.

10 Number 1 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. 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. Whole Numbers Decimal Square Numbers Temperature Degrees Farenheit Place Value Integers Multiply Divide Order Negative Postive Estimations Approximations

11 Number 1 Continued 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

12 Number 2 Foundation Change improper fractions to mixed fractions & vice versa. Use decimal notation. Add & subtract mentally. 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. Mixed Fractions Improper Fractions Proper Fractions Numerator Denominator Simplify Equivalent Percentages Decimals

13 Number 2 Continued 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

14 Number 3 Foundation Know & understand the relationship between the four operations. Mental & written calculations. Rounding. Develop calculator skills. 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. Operations Calculations Rounding Decimal Places Whole Numbers Inverse Brackets Fractions Decimals Percentages Approximate Estimations

15 Number 3 Continued 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.

16 Number 4 Foundation Relate fractions to division. Find fractions of whole number quantities Find percentages of whole number quantities. Solve problems involving ratio & proportion. 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. Fractions Divison Percentages Ratio Proportion Quantities Decimals Parts

17 Number 4 Continued 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

18 Number 5 Recap of all number work covered throughout the year. Amend any misconceptions that might occur. Can extend students where necessary.

19 Geometry & Measure 1 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. 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. Nets Measure Draw Accurate Perimeter Area Polygons Regular Irregular Rectangles 2d 3d Shapes Formula

20 Geometry & Measure 1 Continued Core continued Calculate surface area of cubes & cuboids. 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. Surface Area Scale Triangle Parallelogram Trapezium Compound Shapes Circle Area Circumference Volume Cuboid.

21 Geometry & Measure 2 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. 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. Symmetry Properties Quadrants Coordinates Line Angle Shapes Parallel Perpendicular Sum

22 Geometry & Measure 2 Core Continued Estimate acute, obtuse & reflex angles. Extension Identify alternate & corresponding angles. Understand the proof that angle sum of a triangle is 180 o and a quadrilateral is 360 o Exterior angle of a triangle is equal to the sum of the opposite two interior angles. Classify quadrilaterals by their geometric properties. Acute Obtuse Reflex Alternate Corresponding Proof Interior Quadrilaterals Opposite

23 Geometry & Measure 3 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. 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. Symmetry Translation Reflection Rotation Protractor Straight Degree Properties Constructions

24 Geometry & Measure 3 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

25 Geometry & Measure 4 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...?

26 Geometry & Measure 4 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

27 Geometry & Measure 5 Recap of all geometry & measure work covered throughout the year. Amend any misconceptions that might occur. Can extend students where necessary.

28 Statistics 1 Foundation Solve problems by using and interpreting data in charts, graphs and diagrams (bar charts, line graphs and frequency tables). 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. Data Bar Chart Line Graph Frequency Tables Frequency Diagrams Mode Median Mean Range Probability Outcome Event Mutually Exclusive

29 Statistics 1 Continued 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.

30 Statistics 2 Foundation Solve problems by using and interpreting data in charts, graphs and diagrams (bar charts, line graphs and frequency tables). 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. Bar Charts Line Graphs Frequency tables Pie Charts Discrete Continuous

31 Statistics 2 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

32 Statistics 3 Recap of all statistics work covered throughout the year. Amend any misconceptions that might occur. Can extend students where necessary.