Note at the start of year 7 groups are taught in mixed ability for about 2 weeks and in this time sit an initial assessment test. The teacher will also start to look at sequences and complete the Caterpillar Chain set of lessons. Once the classes are set the teacher can then pick up from this extending or strengthening work already covered on sequences. Snakes Alive can then also be used as a task to complement this. Year 7 Algebra 1 Sequences and Functions 3 weeks (including test time) 1 2 3 4 5 6 7 8 9 I can express simple functions in words I can recognise and describe number patterns for adding and subtracting sequences I can describe sequences and generate sequences given a simple rule I can express simple functions in words and symbols and represent them in mappings I can generate sequences from patterns or practical contexts and describe the general term in simple case

I can generate terms of a sequence from either a term-to-term or a position-to-term rule I can find the nth term of a sequence Additional task if required: Snakes Alive Example questions: From Band 1: Complete the following function machine: Input add three output 4 6 12 From Band 3: Add two more terms to this sequence 4, 6, 8, 10, 12 From Band 3: How did you generate the next terms in the sequence above?

From Band 4: Complete the following function machine: x y= 2x+3 y 2 5 23 From Band 5: What is the term-to-term rule for this sequence: 13, 18, 23, 28, 33 From band 6: What is the nth term for the sequence above? Resources Caterpillar lessons – \\Tcc-nas-01\resources\Staff\Maths\Resources powerpoints called “caterpillars 1” “caterpillars 2” and “caterpillars 3” Snakes Alive – possible marked task - \\Tcc-nas-01\resources\Staff\Maths\Resources\Year 7 Snakes Alive! \\Tcc-nas-01\resources\Staff\Maths\Mysteries KS3 Mysteries – linear sequences \\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM7 \\Tcc-nas-01\resources\Staff\Maths\Resources\Odd one Out Sequences Mymaths lessons login – teignmouth, password - grams Algebra – sequences – sequences Algebra - sequences – nth term Maths box – login – tcs5, Password – edge50 Algebra – Sequences Other websites

Year 7 Number 1 Calendar, Clocks, Place Value, Integers, Calculations 3 weeks (including Calculation week – looking at four operations and using canteen menu) 1 2 3 4 5 6 7 8 9 I can read, write and order whole numbers I understand and can use a range of mental methods of computation for all methods I can use formal written methods to add and subtract 3-digit numbers I can use formal written methods to multiply and divide numbers by a single digit number I can round whole numbers to the nearest 10, 100 and 1000 I can multiply and divide integers and decimals by 10, 100 and 1000 and explain the effect I can recall number facts including complements to 100 and multiplication facts and their associated division facts

I can use the four operations on negative numbers I can understand and use inverse operations in the context of positive integers I can add and subtract decimals to two places, and multiply a simple decimal by a single digit I understand and can use the rules of arithmetic and inverse operations in the context of integers and decimals

I can multiply and divide integers and decimals by 0.1, 0.01 I can use formal methods to multiply and divide 3-digit by 2-digit whole numbers I can recognise and use reciprocals and understand a reciprocal as a multiplicative inverse Bowland Task: Either Youth Hostel http://www.bowland.org.uk/assessment/youth_hostel.html or Z-Factor http://www.bowland.org.uk/assessment/the_z_factor.html Example questions: From Band 1: Write the following number in words 2345 From Band 1: 213 + 25 351 – 82

http://www.bowland.org.uk/assessment/youth_hostel.htmlhttp://www.bowland.org.uk/assessment/the_z_factor.html

From Band 1: 24 x 5 351 ÷ 9 From Band 3: Explain the effect of multiplying 15 by 10, 100 or 1000 From Band 3: 2 + -5 6 x -2 12 - - 3 From Band 4: 2.6 x 9.1 3.78 ÷ 9 From Band 5: Explain the effect of multiplying 1.5 by 0.1 or 0.01 From Band 7: Write down the reciprocal of 3 and 1/3. What do you get if you multiply these together? Resources \\Tcc-nas-01\resources\Staff\Maths\Mysteries KS3 Mysteries – Multiplication \\Tcc-nas-01\resources\Staff\Maths\Mysteries KS3 Mysteries – Negative Numbers \\Tcc-nas-01\resources\Staff\Maths\Resources\Junior Mathematical Team Games Arriving at School \\Tcc-nas-01\resources\Staff\Maths\Resources\Junior Mathematical Team Games Family Tree \\Tcc-nas-01\resources\Staff\Maths\Resources\Junior Mathematical Team Games Going Shopping \\Tcc-nas-01\resources\Staff\Maths\Resources\Junior Mathematical Team Games Tower of Hex \\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM1 \\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM2 \\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM5 \\Tcc-nas-01\resources\Staff\Maths\Resources\Odd one Out Multiply and divide by powers of 10, Negative Numbers. Mymaths lessons login – teignmouth, password - grams Shape - Measures Number – Add Subtract mental Number – Add subtract written Number – Counting and Place Value Number – Decimals – Multiplying Decimals by 10 100 Number – Estimating and Accuracy – Rounding to 10 100 Number – Estimating and Accuracy – Rounding Decimals Number – Multiply Divide mental Number – Multiply Divide written

Maths box – login – tcs5, Password – edge50 Shape – Measures Number – Addition Subtraction Number – Decimals – multiplying decimals by 10 100 1000 Number – Estimation Number – Multiplication and Division (mentally) Number – Place Value Number – Negative Numbers Other websites http://www.bbc.co.uk/schools/mathsfile/shockwave/games/laddergame.html http://www.bbc.co.uk/schools/mathsfile/shockwave/games/roundoff.html

http://www.bbc.co.uk/schools/mathsfile/shockwave/games/laddergame.htmlhttp://www.bbc.co.uk/schools/mathsfile/shockwave/games/roundoff.html

Year 7 Geometry 1 Mensuration, units and 3D shapes 3 weeks 1 2 3 4 5 6 7 8 9 I can find perimeters of simple shapes and areas by counting squares and part squares I can recognise, describe and build simple 3D shapes, including making nets I can compare and classify geometric shapes based on their properties and sizes I can choose and use units of measurement to measure, estimate, calculate and solve problems in everyday contexts

I can convert one metric unit to another I can read and interpret scales on a range of measuring instruments I can convert between related standard units (e.g. time, length, area, volume, mass) I can find the perimeter and area of rectangles and shapes made from rectangles I can use the formula for the volume of a cuboid I know and can use the formula for the circumference and area of a circle I can derive and use the formulae for the area of a triangle, parallelogram and trapezium I can use correctly the vocabulary, notation and labelling conventions for lines, angles and shapes

I can calculate the surface area of cubes and cuboids I can calculate perimeters and areas of circles and composite shapes I can interpret plans and elevations of 3D shapes I can calculate the surface area and volume of prisms I can solve problems involving surface areas and volumes of cylinders Bowland Task: Either Fish Dish http://www.bowland.org.uk/assessment/fish_dish.html or Patchwork Cushions http://www.bowland.org.uk/assessment/patchwork_cushions.html

http://www.bowland.org.uk/assessment/fish_dish.htmlhttp://www.bowland.org.uk/assessment/patchwork_cushions.html

Example questions: From Band 1: By drawing around your hand on 1cm square paper, find it’s approximate area. From Band 2: Draw the net for a cuboid of dimensions 3cm by 5cm by 8cm From Band 3: 1cm = …….mm 2.5km = ……….m 400g = ………..kg From Band 5: Work out the volume and surface area for the cuboid you made above. From Band 7: Compare the volume of a tin of beans and an individual box of cereal. Resources \\Tcc-nas-01\resources\Staff\Maths\Mysteries KS3 Mysteries – Area and Perimeter \\Tcc-nas-01\resources\Staff\Maths\Mysteries KS3 Mysteries – Area, Perimeter an Metric units \\Tcc-nas-01\resources\Staff\Maths\Mysteries KS3 Mysteries – Triangles and Quadrilaterals \\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM11 \\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM13 Mymaths lessons login – teignmouth, password - grams Shape – 2D and 3D Shapes Shape – Area and Perimeter Shape – Converting Units Shape – Volume and Surface Area Maths box – login – tcs5, Password – edge50 Shape – Area and Perimeter Shape – Measures Shape – Shape names and language Shape – Volume (and surface area) Other websites

Year 7 Number 2 Fractions, Decimals, Percentages 2 weeks 1 2 3 4 5 6 7 8 9 I can recognise proportions of a whole number using fractions and recognise when 2 fractions are equivalent

I can begin to use decimal notation in contexts such as money I can express a smaller whole number as a fraction of a larger one I can simplify fractions by cancelling all common factors I can recognise simple equivalence between fractions, decimals and percentages (1/2, 1/4, 1/10, 3/4)

I can calculate fractions or percentages of a quantity I can add and subtract fractions by writing them with a common denominator I can convert terminating decimals to fractions and vice versa I can solve problems involving percentage increase and decrease I can use efficient methods to add, subtract, multiply and divide fractions interpreting division as a multiplication inverse

I can solve problems involving percentage change including original value problems, and simple and compound interest

Example questions: From Band 1: Which of these fractions are equivalent? 1/5 2/8 2/6 2/10 3/12 3/15 From Band 3: Write 6 out of 30 as a fraction in its simplest form From Band 3: Write 1/10 as a decimal and percentage From Band 4: Which is bigger 2/3 of 90 or 30% of 150? From Band 5: Write 0.26 as a fraction in its simplest form and write 2/5 as a decimal From Band 7: A car is in the sale for £13500. This is after a 10% reduction in its price. What was the cost of the car when it wasn’t in the sale?

Resources \\Tcc-nas-01\resources\Staff\Maths\Mysteries KS3 Mysteries – Fractions \\Tcc-nas-01\resources\Staff\Maths\Resources\Junior Mathematical Team Games Fractions Games \\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM3 \\Tcc-nas-01\resources\Staff\Maths\Resources\Odd one Out Fraction Decimal 1, Fraction Decimal 2, Fraction multiply divide, Percentages Mymaths lessons login – teignmouth, password - grams Number – Fractions Number – Percentages Number – Money and Finance Maths box – login – tcs5, Password – edge50 Number – Equivalence- Fractions- Decimals- Percentages Number – Fractions Number – Percentages Other websites http://www.bbc.co.uk/schools/mathsfile/shockwave/games/saloonsnap.html

http://www.bbc.co.uk/schools/mathsfile/shockwave/games/saloonsnap.html

Year 7 Statistics Probability (Note: Probability has been less covered in new KS2 curriculum so more development might be needed than previously) 2 weeks 1 2 3 4 5 6 7 8 9 I can use the terms likely, equally likely, fair, unfair, certain when describing chance or likelihood

I can understand and use the probability scale from 0 to 1 I can find and justify probabilities based on equally likely outcomes in simple contexts I can identify all the possible mutually exclusive outcomes of a single event I can interpret the results of an experiment using the language of probability and appreciate that random processes are unpredictable

I can use Venn diagrams, grids and tables to enumerate sets and combinations of sets systematically

I understand that the sum of probabilities of all mutually exclusive outcomes is 1 and use this when solving problems

I can construct possibility spaces for combined experiments with equally likely outcomes and use these to calculate probabilities

Example questions: From Band 3: Write down as a fraction the probability of getting a 3 on a standard die. From Band 4: List all the possible outcomes from picking a tutor group in year 7 at random. From Band 5: Complete a Venn Diagram with sets: Multiples of 5 and odd numbers; for all numbers between 1 and 30. From Band 5: If the probability you will get let out of the lesson on time is 0.85, what is the probability you don’t get let out on time? From Band 6: Complete a Probability Space diagram for throwing and coin and dice together. Use this to work out the probability of getting a head and even number together.

Resources \\Tcc-nas-01\resources\Staff\Maths\Mysteries KS3 Mysteries – Averages and Probability \\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM16 Mymaths lessons login – teignmouth, password - grams Data - Probability Maths box – login – tcs5, Password – edge50 Data - Probability Other websites http://www.bbc.co.uk/schools/mathsfile/shockwave/games/fish.html

http://www.bbc.co.uk/schools/mathsfile/shockwave/games/fish.html

Year 7 Algebra 2 Equations, Formulae and Identities 2 weeks 1 2 3 4 5 6 7 8 9 I can begin to use simple formulae expressed in words I can use and interpret algebraic notation (e.g. ab in place of a x b, 3y in terms of y + y + y, a/b in place of a ÷ b

I can substitute numerical values into formulae and expressions I can understand and use the concepts and vocabulary of expressions, equations, inequalities, terms and factors

I can simplify and manipulate algebraic expressions by collecting like terms and multiplying a single term over a bracket

I can simplify and manipulate algebraic expressions by taking out common factors I can construct and solve simple linear equations with integer coefficients and unknown on one side

I can rearrange formulae to change the subject I can construct and solve linear equations with integer coefficients and unknowns on both sides

Example questions: From Band 3: The cost of a taxi can be calculated by multiplying the time in the taxi by 30p and then adding 75p. How much will a 30minute journey cost me? From Band 4: Match up any equivalent expressions: a+a+a a x a 2a + a a2 5a – 3a 3a a x a x a From Band 6: Simplify 2x + 3y – x – 2y Expand 2(3x+2) From Band 6: Simplify 6x2y ÷ 3xy From Band 6: Solve 3x – 2 = 7 From Band 8: Make x the subject of the formula y = 3x - 6

Resources \\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM10 \\Tcc-nas-01\resources\Staff\Maths\Resources\Odd one Out Brackets, Brackets 2 \\Tcc-nas-01\resources\Staff\Maths\Resources\Odd one Out Equations, Equations 2, Equivalent Expressions, Equivalent Expressions 2, Equivalent Expressions 3, Substitution. Mymaths lessons login – teignmouth, password - grams Algebra – Algebraic Manipulation Algebra – Equations Linear Algebra – Expressions and Formulae Maths box – login – tcs5, Password – edge50 Algebra – Algebraic Manipulation Algebra – Equations (linear) Algebra - Substitute Other websites http://www.bbc.co.uk/schools/mathsfile/shockwave/games/postie.html http://www.bbc.co.uk/schools/mathsfile/shockwave/games/equationmatch.html

http://www.bbc.co.uk/schools/mathsfile/shockwave/games/postie.htmlhttp://www.bbc.co.uk/schools/mathsfile/shockwave/games/equationmatch.html

Year 7 Geometry 2 Geometric Reasoning, co-ordinates and angles 3 weeks 1 2 3 4 5 6 7 8 9 I can distinguish between and estimate the size of acute, obtuse and reflex angles I can draw 2D shapes using given dimensions and angles I can find unknown angles in any triangles, quadrilaterals and regular polygons I can measure and draw acute and obtuse angles I can choose and use units of measurement to measure, estimate, calculate and solve problems in everyday contexts

I can read and interpret scales on a range of measuring instruments I can measure and draw reflex angles to the nearest degree I can use correctly the vocabulary, notation and labelling conventions for lines, angles and shapes

I can identify parallel and perpendicular lines and know the sum of angles at a point, on a straight line and in a triangle

I can derive and use the sum of angles in a triangle including to deduce angles in any polygon I can interpret maps and scale drawings and use bearings I can understand and use alternate and corresponding angles on a parallel line Bowland Task: Either Rods and Triangles http://www.bowland.org.uk/assessment/rods_and_triangles.html or Three of a kind http://www.bowland.org.uk/assessment/three_of_a_kind.html Example questions: From Band 1: Draw an acute, obtuse and reflex angle From Band 2: Draw an equilateral triangle with sides of length 5cm. From Band 3: Measure the three angles you drew above.

http://www.bowland.org.uk/assessment/rods_and_triangles.htmlhttp://www.bowland.org.uk/assessment/three_of_a_kind.html

From Band 4: Find the other angle in a triangle with 2 angles of 20o and 50 o From Band 5: Draw a scale diagram of a point A being on a bearing of 120o from B and a distance of 100m. From Band 5: Draw a diagram to represent 2 alternate angles. Resources \\Tcc-nas-01\resources\Staff\Maths\Mysteries KS3 Mysteries Co-ordinates \\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM8 \\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM12 Mymaths lessons login – teignmouth, password - grams Shape – Angles Maths box – login – tcs5, Password – edge50 Shape – Angles Other websites

Year 7 Statistics 2 Data Interpretation 2 weeks 1 2 3 4 5 6 7 8 9 I can interpret and present discrete data using appropriate tables or graphical representations

I can complete, read and interpret information in tables and timetables I can construct, interpret and solve problems involving simple line graphs and pictograms I can find the mode, median and range for small sets of discrete data and modal class for grouped data

I can calculate and interpret the mean of a set of discrete data I can compare distributions of ungrouped discrete data using mean, mode, median and range

I can compare distributions of ungrouped and grouped discrete or continuous data using mean, mode, median and range

Example questions: From Band 1: Display the following data in a table and stem-and-leaf diagram 12 13 16 12 14 21 25 16 12 13 16 17 19 22 From Band 1: Use a local bus timetable to plan a journey From Band 3: Find the eye colour of everyone in your class and display this as a pictogram From Band 3: Find the mean, median, mode and range for the data set above. From Band 5: Compare the mean, median, mode and range of the data above with this data 5 12 15 35 24 12 4 19 33 12 15 16 18 22 From Band 7: Find the heights of the students in your class and display this data in an appropriate grouped table. From this table find an estimate of the mean height of your class. Resources \\Tcc-nas-01\resources\Staff\Maths\Mysteries KS3 Mysteries – Averages \\Tcc-nas-01\resources\Staff\Maths\Mysteries KS3 Mysteries – Bar charts

\\Tcc-nas-01\resources\Staff\Maths\Resources\Junior Mathematical Team Games Old Older Oldest \\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM14 Mymaths lessons login – teignmouth, password - grams Data – Presenting Data Data – Processing Data Maths box – login – tcs5, Password – edge50 Data – Averages Other websites http://www.bbc.co.uk/schools/mathsfile/shockwave/games/train.html

Year 7 Number 3 BODMAS Calculations and Place Value 3 weeks 1 2 3 4 5 6 7 8 9 I can read, write and order whole numbers I can round decimals to the nearest whole number or one decimal place I can understand and use place value and decimal notation I can multiply and divide decimals by 10, 100 and 1000 and explain the effect I can understand and use inverse operations in the context of positive integers I can interpret calculator displays within context I can order decimals I understand and can use the rules of arithmetic and inverse operations in the context of integers and decimals

I can multiply and divide integers and decimals by 0.1, 0.01 I can round decimals to any given number of decimal places I can use the order of operations including brackets I can use rounding to give solutions to problems to an appropriate degree of accuracy I can use approximation through rounding to estimate answers and calculate possible rounding errors

I understand and can use the order of operations including brackets, powers and roots

Bowland Task: Icecream http://www.bowland.org.uk/assessment/ice_cream.html Or security camera http://www.bowland.org.uk/assessment/security_camera.html Or fares not fair! http://www.bowland.org.uk/assessment/fares_not_fair.html

http://www.bowland.org.uk/assessment/ice_cream.htmlhttp://www.bowland.org.uk/assessment/security_camera.htmlhttp://www.bowland.org.uk/assessment/fares_not_fair.html

Example questions: From Band 1: Order these integers: 25, 31, 164, 253, 28, 15, 211, 181 From Band 3: Use your calculator to work out the change from £10 when I buy three items at these prices: £1.45, 45p 95p From Band 3: Round these decimals to a) the nearest whole number b) one decimal place 2.6 0.38 1.98 4.273 From Band 3: Give the place value of the “5” in each of these numbers 15.2 72.53 9.125 From Band 4: Order these decimals: 1.2 0.12 1.02 2.1 0.21 From Band 4: 1.43 + 6.12 9.15 – 2.13 7.2 x 1.6 1.98 ÷ 9 From Band 5: Round 2.37584 to 2 decimals places to 4 decimal places From Band 5: 3 + 4 x 5= 2 x (8 + 2) = From Band 7: Round 27.36 to 1 significant figure to 3 significant figures From Band 7: 3 + 22 x 5= 52 - √(12+62) Resources \\Tcc-nas-01\resources\Staff\Maths\Resources\Junior Mathematical Team Games Hexagon Puzzles \\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM1 \\Tcc-nas-01\resources\Staff\Maths\Resources\Odd one Out Calculation Mymaths lessons login – teignmouth, password - grams Number – Decimals Number – Money and Finance Algebra – Expressions and Formulae – Order of Operations Number – Estimating and Accuracy Maths box – login – tcs5, Password – edge50 Number – BODMAS Number – Estimation Number – Using a Calculator Other websites

http://www.bbc.co.uk/schools/mathsfile/shockwave/games/roundoff.html

http://www.bbc.co.uk/schools/mathsfile/shockwave/games/roundoff.html

Year 7 Algebra 3 Powers and Roots 1 week 1 2 3 4 5 6 7 8 9 I know my square numbers and know a square root is the inverse of this I can use integer powers and associated real roots and recognise powers of 2, 3, 4, 5 I can simplify and manipulate algebraic expressions by taking out common factors I can simplify and manipulate algebraic expressions by collecting like terms and multiplying a single term over a bracket

I can use index notation for integer powers and use the index laws for multiplication and division of integer powers

I can simplify and manipulate algebraic expressions by expanding products of two or more binomials

Example questions: From Band 1: List the first 10 square numbers From Band 5: Work out 25 and (-1)4 From Band 5: Expand 2x(3x+5) From Band 7: Simplify a4 x a7 and b7 ÷ b3 and (y2)3 From Band 7: Expand (x+2)(x-3) Resources \\Tcc-nas-01\resources\Staff\Maths\Mysteries KS3 Mysteries- Algebra and Shape \\Tcc-nas-01\resources\Staff\Maths\Resources\Odd one Out Brackets, Brackets 2, Roots. Mymaths lessons login – teignmouth, password - grams Number – Power and Roots – Indices 1

Algebra – Algebraic Manipulation Maths box – login – tcs5, Password – edge50 Number –Powers Roots Factors Multiples Algebra – Algebraic Manipulation Other websites

Year 7 Geometry 3 Symmetry, Co-ordinates, Construction and Property of Shape 2 weeks 1 2 3 4 5 6 7 8 9 I can recognise and identify all the symmetries of 2D shapes I can use and interpret coordinates in the first quadrant I can draw 2D shapes using given dimensions and angles I can compare and classify geometric shapes based on their properties and sizes I can use and interpret coordinates in all four quadrants

I can use correctly the vocabulary, notation and labelling conventions for lines, angles and shapes

I can interpret maps and scale drawings and use bearings

I can use the standard ruler and compass constructions to construct angle and line bisectors and perpendiculars to given lines

I can find the locus of a point that moves according to a simple rule, using compass constructions where appropriate

I can use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS) I can use standard ruler and compass constructions to construct triangles Example questions: From Band 1: How many lines of symmetry does a kite have? What is the rotational symmetry of a rhombus? From Band 1: Plot the point (3,4) From Band 2: Plot the points (-1, 5) and (0, -2) From Band 7: Using ruler and compasses only construct an equilateral triangle of sides 6cm

Resources \\Tcc-nas-01\resources\Staff\Maths\Mysteries KS3 Mysteries – symmetry \\Tcc-nas-01\resources\Staff\Maths\Resources\Junior Mathematical Team Games Reflection Story Mymaths lessons login – teignmouth, password - grams Algebra – Co-ordinates Shape – Construction Shape – Symmetry Maths box – login – tcs5, Password – edge50 Algebra – Graph – Co-ordinates Other websites

Year 7 Number 4 Ratio and Proportion (Note: ratio is hardly touched on at KS2 so will need thorough investigating by the students) 2 weeks 1 2 3 4 5 6 7 8 9 I can recognise proportions of a whole number using fractions and recognise when 2 fractions are equivalent

I can recognise proportions of a whole number using percentages I can use ratio notation, including reduction to its simplest forms I can divide a given quantity into a given ratio I can use proportional reasoning to solve problems I can solve problems involving direct and inverse proportion I can use compound units such as speed, unit pricing and density to solve problems Example questions: From Band 1: What proportion of this shape is shaded? From Band 4: Simplify the ratio 15:25 From Band 4: Share £150 in the ration 2:3 From Band 5: If 5 sweets cost £90 how much will 9 cost? From Band 7: If 3 men build a wall in 2 hours how long would it take 2 men to build the same size wall? Resources \\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM6 \\Tcc-nas-01\resources\Staff\Maths\Resources\Odd one Out Ratio Mymaths lessons login – teignmouth, password - grams Number – Ration and Proportion Shape – Measure – Speed

Shape – Measures - Density Maths box – login – tcs5, Password – edge50 Number – Ratio and Proportion Shape – Measures – Speed Distance Time calculation Other websites

Year 7 Geometry 4 Transformation 2 weeks 1 2 3 4 5 6 7 8 9 I can transform 2D shapes by reflecting in given mirror lines, rotating about a given point and translating

I can identify, describe and construct similar shapes by enlargement, with and without coordinate grids

Reflections use diagonal lines.

Translations are described using Vectors

Enlargements use a centre of enlargement and use negative or fractional scale factors

Example questions: From Band 2: Draw a square of side length 2cm, then reflect it in a line of your choice. Rotate is about a point of your choice. Transform it by 2 right, 3 down. From Band 3: Enlarge the same square by scale factor 2 For higher Bands see how to increase difficulty above. Mymaths lessons login – teignmouth, password - grams Shape - Transformation Maths box – login – tcs5, Password – edge50 Shape – Transformations

Other websites http://www.bbc.co.uk/schools/mathsfile/shockwave/games/bathroom.html

http://www.bbc.co.uk/schools/mathsfile/shockwave/games/bathroom.html

Year 7 Statistics 2 Data Collection and Analysis 2 weeks (this is mainly completed through a project of your choice. Could use Words, Words, Words or Mayfield High type Project – there is also a Bowland task to complete) (Make sure Pie Charts and Scatter Graphs are covered if appropriate for your level class) 1 2 3 4 5 6 7 8 9 I can interpret and present discrete data using appropriate tables or graphical representations

I can construct, interpret and solve problems involving simple line graphs and pictograms I can interpret and construct graphs and diagrams to represent ungrouped discrete data including bar graphs, pie charts and frequency tables

I can interpret, analyse and compare the distributions of ungrouped and grouped discrete and continuous data through appropriate graphical representations

I can describe simple mathematical relationships between two variable and illustrate using scatter graphs

I can draw estimated lines of best fit when using scatter graphs and make predictions including interpolate and extrapolate apparent trends

Bowland Task: Counting Trees http://www.bowland.org.uk/assessment/counting_trees.html Or Day Out http://www.bowland.org.uk/assessment/day_out.html Or Tuck Shop http://www.bowland.org.uk/assessment/tuck_shop.html Example questions: From Band 1: Complete a tally chart for the frequency letters of the alphabet appear in a small section of writing. From Band 3: Complete a Pictograph for the number of brothers and sisters people in your class have. From Band 4: Draw a Pie Chart to show the favourite subjects for the students in your class. From Band 7: Draw a scatter graph to look for correlation between height and hand span.

http://www.bowland.org.uk/assessment/counting_trees.htmlhttp://www.bowland.org.uk/assessment/day_out.htmlhttp://www.bowland.org.uk/assessment/tuck_shop.html

Resources \\Tcc-nas-01\resources\Staff\Maths\Mysteries KS3 Mysteries Bar Charts \\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM15 Mymaths lessons login – teignmouth, password - grams Data – Collecting Data Data – Presenting Data Maths box – login – tcs5, Password – edge50 Data – Representing Data Other websites http://www.bbc.co.uk/schools/mathsfile/shockwave/games/datapick.html

Year 7 Algebra Graphs 1 week 1 2 3 4 5 6 7 8 9 I can plot and interpret the graphs of simple linear functions arising from real-life situations, e.g. conversion graphs

I can use linear graphs to estimate values of y given values of x and vice versa I can plot the graphs of linear functions and recognise that equations of the form y = mx + c correspond to straight-line graphs

I can calculate and interpret gradients and intercepts of graphs of linear equations of the form y + mx +c

I can use linear graphs to find approximate solutions of simultaneous linear equations I can recognise, sketch and produce graphs of quadratic functions of one variable Example questions: From Band 3: Use a pre-drawn conversion graph to change £ into $ From Band 6: Draw the graph of y=3x-2 and comment on its gradient and y-intercept From Band 7: Will these two lines cross y=3x-1 and y=2x-1? From Band 7: Use the graphs of y=3x-1 and y=2x-1 to find their simultaneous solution. From Band 8: Draw the graph on y=x2+2x-1 Resources \\Tcc-nas-01\resources\Staff\Maths\Resources\Odd one Out Straight lines, Straight lines 2 Mymaths lessons login – teignmouth, password - grams Algebra - Graphs

Maths box – login – tcs5, Password – edge50 Algebra – Graphs Other websites http://www.bbc.co.uk/schools/mathsfile/shockwave/games/planethop.html

http://www.bbc.co.uk/schools/mathsfile/shockwave/games/planethop.html

Year 7 1 A1Year 7 2 N1Year 7 3 Geometry 1Year 7 4 N2Year 7 5 Stats 1Year 7 6 A2Year 7 7 Geometry 2Year 7 8 Stats 2Year 7 9 N3Year 7 10 A3Year 7 11 Geometry 3Year 7 12 N4Year 7 13 Geometry 4Year 7 14 Stats 3Year 7 15 A4