SOW Year 7 {Support, Core, Higher} Target Levels: 3 6

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1 SOW Year 7 {Support, Core, Higher} Target Levels: 3 6 Date Module Topic & student activity Teacher activity & Examples Key skills development/ prerequisites/ assessment/tests 24 th Jun No Year 7 lessons Year 7 start in September rd Jul th Jul 6 th Sept 2013 SUMMER HOLIDAYS 9 th Sept 2013 Y7 Induction Week Induction Task: Roofs (1 st 2 lessons) All students : sit the Entry Test 100 questions (3 rd lesson) Roof task - 2 lessons Entry test: 1 hour test Staff to mark asap and keep a record of marks gained. Casual entrants to also sit test as and when they arrive. Spares will be provided. Set ground rules & expectations. Have a seating plan. Homework =1 x 30mins each week Homework 1 x written & 1 x mymaths Give out mymaths login details & a short demo on how it works Other Resources SBS to get Roofs task printed. SBS to get the Entry Test printed for everyone. 16 th Sept 1.1 S: Whole number arithmetic p7-17 C: Whole number arithmetic p1-13 Use place value to write whole numbers in words or figures Add, subtract and multiply with whole numbers H: Whole number arithmetic p1 Use place value of digits in whole numbers Add, subtract and multiply with whole numbers Divide a whole number by a single digit number Skip p14-15 on negative numbers Number bonds to 100. E.g. I say 43 you say? = 760 Use the 6, 9, 7 and 8 x tables to work out number facts E.g. If 9x7 = 63 then 7x9 =? 63 9 =? 63 = 9 write 453 in words write 3 hundred and 5 in figures Find 1 less than 200, 2000, etc x 7 x What is 153 increased by 61 Find the difference between 65 & 450 write four and a half million in figures work out half a million 4 operations with whole numbers (integers) Place value Th H T U Misconception: what s wrong with this? E.g written as: Expose children to key vocabulary : Add, sum, total, plus, more than, increase by, Subtract, minus, take away, less than, decrease by, All pupils to learn 6-10 x-table using hands demo shown during dept. meeting. 16 th Sept 1.2 S: mental strategies p20, C: Short division p13 Divide a whole number by another whole number Solved mixed problems involving remainders 4 x 1 4 x 10 4 x 100 Multiplication and division facts for 6, 9, 7 & 8 x-tables If 9x7 = 63 then 7x9 =? and 63 9 =? and 63 7=? Share 267 cakes between 5 people How many teams of 5 can you make with 113 players Multiply by 1, 10 and 100 Misconception: 12 3 is the same as Explain means 4 5 on a calculator.

2 H: Long multiplication & division 1 p13 Multiply by a two or three digit number Divide by a two digit number Solve mixed problems 23 rd Sept 1.3 S: multiplication & division p22-23 C: Long multiplication & division 1 p19 Multiply by a two or three digit number Divide by a two digit number Solve mixed problems H: Decimals p18 Use place value with decimals Add and subtract decimal numbers Multiply and divide decimal numbers 30 th Sept 1.4 S: Calculator skills p21,230 C: Using a calculator p23 the order of operations(+, -, x, /) using a calculator with simple expressions using the bracket keys on the calculator H: Using a calculator p34 the order of operations(+, -, x, /) using a calculator with simple expressions using the bracket and memory keys on the calculator 7 th Oct 1.5 S: number sequences 1 p2,3 C: Sequences p30 Find the next term in a sequence Find and use a rule 46 x and Multiply 3 by 9 There are 6 eggs in a box. There are 7 boxes, how many eggs are there? A bus has 42 seats, how many people can travel on 7 buses? Demo 35 x 41 using Gelosia/grid method How many hours are there in 13 weeks? Work out using method work out Each row in a cinema has 28 chairs, how many rows are needed to seat 1000 people? Arrange from smallest to largest 0.007, 0.07, 0.071, and work out: 3.25 x 7 and 0.4 x 0.5 and = - 3 learn to recognise a negative umber output x 5 = 15.6 students to interpret this as Plants cost 2.50, how many can be bought with 14? 7 x ( ) Work out: 18 3 x 4 and 32 (9 + 7) Work out: (3 + 7) (19 3) and x (4 1) Write the next three numbers and the rule in each case 2, 4, 6, 8,,, and 20, 16, 12,,,, Sequences with negative numbers 4, 2, 0,,,, Working out problems using a written method. Encourage children to estimate the size of their answer before they begin on formal methods. Define BODMAS or BIDMAS. Demo: how to use the (bracket) keys on a calculator. Interpret money e.g on display is Sequences, number patterns, terms, term-toterm rule,

3 for a sequence Solve problems involving harder sequences H: Sequences p45 Find the next term in a sequence Find and use a rule for a sequence Solve problems involving harder sequences 14 th Oct 1.6 S: Perimeter & Area p26 C: Perimeter & Area p38 Find perimeters Find areas involving rectangles Find areas involving triangles H: Perimeter & Area p51 Find perimeters Find areas involving rectangles Find areas involving triangles Find the next 3 terms: 3, 7, 11, 15,,,, and ½, 1, 2, 4,,, and 0.9, 0.7, 0.5,,, Write the sequence that starts with 3 using the rule double and add 4 Draw the next diagram,,, how many squares/triangles are in pattern 31? Write down the next two numbers in this number sequence 1, 7, 13, 19, 25,, and write down the prime numbers. The first term is 3, the rule is subtract 0.3 each time The first term is 3, the rule is write down the next prime Write down the sum of the 10 th row in Pascal s triangle Given the length of a rectangle is 8cm and the width is 5cm, what is the perimeter of the rectangle? What is the area of the rectangle mentioned above? A triangle has an area of 90cm 2. If the base is 9cm what is the height? Work out the perimeter and area of shape ABCD below Perimeter, rectangles, triangles, composite shapes, length, width, base, height, parallel, Find areas of composite shapes How many panes of glass 35cm by 25cm can be cut from a 1m 2 sheet 21 st Oct 2.1 S: Averages & Range p34 C: Averages & Range p56 Find the mean, median and mode Find the range Compare two sets of data using averages and range H: Averages & Range p72 Find the mean, median and mode Shoe sizes of 10 people are: 8, 5, 6, 6, 3, 5, 6, 4, 5, 6. Find the mean, median, mode and range The mean of 4 numbers is 7, what are the numbers? Averages, mean, median, mode, modal, range Compare sets of data compare either one of mean, median or mode plus the range

4 Find the range Compare two sets of data using averages and range Find averages from frequency tables 28 th Oct OCTOBER HALF TERM 1 st Nov th Nov 2.2 S: Fractions p48-51 C: Fractions p65 Find equivalent fractions Find a fraction of a number Add and subtract fractions H: Fractions p81 Find equivalent fractions Find a fraction of a number Add and subtract fractions (including mixed numbers) Write down 3 fractions equivalent to Work out of 40 and of 40 and of 70 Equivalent fractions, cancelling down, fractions of amounts, + and fractions Use mixed numbers 11 th Nov 2.3 S: Fractions & Percentages p52- C: Fractions, Decimals & Percentages p74 Convert between fractions, decimals and percentages H: Fractions, Decimals & Percentages p89 Convert between fractions, decimals and percentages = 0.5 = 50% = dec = % = dec = % Which of these fractions are greater than 73%? Converting between F, D and %. Tarsia recommended see BMS 18 th Nov 2.4 S: Angles p73 C: Angles p82 Label angles Measure and draw angles with a protractor Estimate angles Identify acute, obtuse and reflex angles Measure this acute angle Estimate the acute angle between the hands of a clock when it s 3 o clock, 4 o clock and when it s 2:30 Work out angles ABC and ABD Angles types: Acute, Obtuse, Reflex Know how to label angles using 3 letters e.g. BÂD. Know these types of triangles:

5 Calculate angles on a straight line and at a point Calculate angles in a triangle H: Angles p96 Label angles Measure and draw angles with a protractor Calculate angles on a straight line and at a point Calculate angles in a triangle Calculate angles with parallel lines Calculate angles in a quadrilateral A A x 62 B C D D 72º 130º E Diagram NOT accurately drawn xº B yº C Angles and parallel lines Calculating angles in a quadrilateral 25 th Nov 2.5 S: collecting like terms, letter symbols p65,4,5 C: Rules of Algebra p94 Use letters for numbers Collect like terms Substitute numbers into a formula Tackle balance puzzles H: Rules of Algebra p109 Use letters for numbers Collect like terms Multiply algebraic terms Substitute numbers into a formula Tackle balance puzzles 2 nd Dec 3.1 S: Coordinates p70 C: Coordinates p119 use coordinates with positive and negative numbers solve problems involving shapes H: Coordinates p134 use coordinates Tom has x sweets, write down how many sweets Jane has if she has 3 more than Tom Simplify 4m + 3n 2m + 6m y = 3x + c find y when x = 5 and c = 6 Simplify: 4m x 7n and 8p x 5q x 4r Find the largest angle in a triangle if the angles are {2x, 3x and 5x} y = mn + m 2 find y when m = 9 and n = - 4 Write down the co-ordinates of the points P and Q Letters for numbers Collecting like terms Substitution Balancing puzzles (scale/see-saw type problems) Reading coordinates in all 4 Quadrants Completing the quadrilateral given 3 coordinates/vertices

6 with positive and negative numbers solve problems involving shapes On the co-ordinate grid mark and label the points G with co-ordinates (0, 3) and H with co-ordinates (5, 4) Write down the coordinates of the vertices that would complete a kite (where P&Q are opposite ends of the kite) What would be the coordinates of P and Q if they were reflected in the y-axis (what about the x-axis)? B(7,7), C(4,7) and E(2,3) are the coordinates of a parallelogram, find the fourth vertex 9 th Dec 3.2 S: multiplication facts, multiples, short multiplication p81-83, 86-87,91 C: Long Multiplication & Division 2 p125 Practise long multiplication and long division Solve word problems H: Long Multiplication & Division 2 p140 Practise long multiplication and long division Solve word problems 3.3 S: Ordering decimals p58-60 C: Decimals 1 p128 Measure shapes using decimals Use place values with decimals Write numbers in order of size Add and subtract decimal numbers H: Decimals 2 p142 Add, subtract, multiply and divide with decimal numbers 42 x 37 using the Gelosia method How many 34p stamps can you buy with 5? How much change is left? How many 51-seater coaches are needed to take 670 people on a trip? Use a ruler to measure the length of your pen/pencil/shoe in cm, inches and mm Write 14 hundredths as a decimal Arrange from smallest to biggest 0.53, 0.45, 0.51, 5.01, Start with 1.01 {x2} {+0.78} { 5} = answer If 7 jars of jam cost 17, find the cost of 5 jars of jam Working out remainders Solve word problems Discuss place value H T U t h th 4 operations with decimals

7 16 th Dec Catch-up week 20 th Dec CHRISTMAS HOLIDAYS 3 rd Jan th Jan S: short & long multiplication p91-97 C: Multiplication & Division with decimals p136 Multiply and divide numbers by 10, 100, 1000 Multiply decimals by whole numbers Divide decimals by whole numbers H: Multiplication & Division with decimals p142 Add, subtract, multiply and divide with decimal numbers 13 th Jan 3.5 S: Properties of numbers p1,6,88, 90 C: Properties of numbers p144 Prime numbers Factors of numbers Multiples of numbers Square numbers and cube numbers H: Properties of numbers p146 Prime numbers Factors of numbers Multiples of numbers Square numbers and cube numbers Use word problems on multiplication and division with decimals: After buying some crayons for 9.00, Randy has 9.00 left. How much money did Randy have to begin with? Julia cut a string 8.46 m long into 6 equal pieces. What is the length of each piece of string? Prime Numbers, Factors, Multiples, Square and Cube Numbers Eg. : Write down the factors of 90. Write down the first 5 multiples of 13. Write 108 as a product of its prime factors, using a factor tree. 108 = 2x2x3x3x3 Find HCF and LCM of numbers: HCF of 18 and 24 is 18 = 1,2,3,6,9,18 24= 1,2,3,4,6,8,12,24 CF= 1,2,3,6 HCF= 6 Find LCM of 10 and 20. Which square number is between 50 and 70? Draw a 5 x 5 square and design a pattern which divides it into nine smaller squares. Use product of prime factors to find HCF Extension: Dividing with decimals. Remember to remove decimal from the divisor by dividing by a power of 10. The product will have same number of digits after the decimal as the numbers being multiplied have in total after the decimal.

8 20 th Jan 3.6 S: Coordinates p126,223 C: Straight-Line Graphs p158 Lines which are parallel to the axes Sloping lines Finding the equation of a line Drawing straight line graphs H: Straight-Line Graphs p159 Lines which are parallel to the axes Sloping lines Finding the equation of a line Drawing straight line graphs Prime factors of 24 = 2 x 2 x 2 x 3 Prime factors of 60 = 2 x 2 x 3 x 5 CF = 2 x 2 x 3 HCF = 12 {Horizontal line graphs. All y values are equal to 8 on y=8} {Vertical line graphs. All x values are equal to 4 on x=4} Relating x and y A line passes through: (0,1), (1,2),(2,3),(3,4),(4,5) For each point y-coordinate is one more than the x-coordinate. The equation of the line is y = x+1. Finding points on a line: The rule or equation of a line is y=x+1. Points which lie on the line satisfy this rule. So when x=3, y=3+1=4. The point (3,4) is on the line but (3,5) is not as y=3+1=4 which is not equal to 5. Drawing Graphs: The equations of a line is y=3x+3. Copy and complete a list of points on the line: (0,3),(1,6),(2,_),(3,_),(4,_) Draw the graph of y =3x+3

9 27 th Jan 3.7 S: Charts p C: Handling Data p165 Bar charts and barline graphs Data in groups and line-graphs Pie charts Problems answered using statistics H: Handling Data p165 Bar charts and barline graphs Data in groups and line-graphs Pie charts Problems answered using statistics Bar Charts and Bar-line Graphs Data in groups and line graphs: Pie Charts 3 rd Feb 3.8 S: Probability 1 & 2 p44 C: Probability 1 p177 The probability scale Experimental probability Equally likely outcomes Expected probability H: Probability 1 p179 The probability scale Experimental probability Equally likely outcomes Expected probability Probability Scale Experimental Probability =(No. of trials in which a success occurs)/total number of trials made Equally likely Outcomes Expected Probability = (the no. of ways the event can happen)/(the no. of possible outcomes)

10 10 th Feb 3.9 S: catch-up missed work inc. homework C: Applying Mathematics in Contexts p187 Solving problems in a variety of real life situations Solve a range of puzzles Investigate problems with more than one solution H: Applying Mathematics in Contexts p189 Solving problems in a variety of real life situations Solve a range of puzzles Investigate problems with more than one solution What is the area, in square units, of the polygon? Which shape is closer to (0,0)? What remainder do you get if you divide 90 by 7? A captain sees an iceberg with a height of 80 meters above the water line. Only one-eighth (1/8) of the iceberg is visible above the water line. What is the total height, in meters, of the iceberg? 4.1 S: measuring lines, angles p24,138 C: Constructing Triangles p204 Construct triangles with a protractor and a ruler H: Constructing Triangles p207 Construct triangles with a protractor and a ruler Construct triangles with three sides given Below is a triangle which we want to draw accurately. Click where it says Click here to begin to see how to do this construction. When you have done each stage on paper, click on the right-hand image again to see the next step. You have finished when you see a big tick, but you can continue clicking to see the process again. Construct triangles with protractor and ruler Use the link below to show the steps of construction: 17 th 21 st Feb 2014 FEBRUARY HALF TERM

11 24 th Feb Half Term Test on topics done so far. 24 th Feb 4.2 S: same as 7Core p206 C: Two dimensional Shapes p206 Recognise parallel, perpendicular, horizontal and vertical lines Recognise different types of triangle Recognise different types of quadrilateral Recognise different polygons H: Two dimensional Shapes p211 Recognise different types of quadrilateral Recognise different polygons Identify symmetry properties of quadrilaterals 3 rd Mar 4.3 S: Percentages of numbers p153 C: Percentages p214 Review the conversion of fractions, decimals and percentages Learn how to recognise common percentages Learn how to find a percentage of a number H: Percentages p217 Review the conversion of fractions, decimals and percentages Express one number as a percentage of another number Find a percentage of a number

12 % of a number 1% = 1/100 10% = 1/10 Which is larger? 30% of 40 or 25% of 60. Which is the odd one out? 10% 0f 90 20% of 40 5% of 160 Work out 29% of 18. Increase 600 by 8%. 10 th Mar 4.4 S: C: Proportion & Ratio p223 Tackle problems involving direct proportion Express proportions Deal with ratios H: Proportion & Ratio p225 Tackle problems involving proportion Deal with ratios Unitary Method Simplifying ratios: 3:18 55: :120 Dividing by a given ratio: 1) Share 236 in the ratio 3:1. 2) Sachin and Ellie have a total of 1200 between them. Sachin has three times as much money as Ellie. How much money does Sachin have?

13 17 th Mar 4.5 S: Negative Numbers p14 C: Negative Numbers p230 Compare negative numbers Multiply and divide negative numbers Add and subtract negative numbers H: Negative Numbers p231 Add and subtract negative numbers Multiply and divide negative numbers Compare Negative Numbers: Write these numbers in order: 2, 5, 9, 10, -3, -2, 5, 0, -1. Multiply and Divide Negative Numbers: Add and Subtract Negative Numbers: Solve = 5+ -2= = =

14 4.6 S: Using letter symbols, Equations p162,212 C: More algebra p237 Review substituting numbers into a formula Learn how to solve equations Learn how to multiply out single brackets H: More algebra p235 Review section 2 algebra Solve equations Multiply out single brackets Substitution: Y=7(x-4) Find Y when x = 9 M = n + nb Find M when n = 6 and b = 3 Y = 5x + w Find Y when x = 4 and w = -2 Solving Equations: 15a = 90 A 1/4 = 3/4 7x + 6 = 20 Using equations to solve problems: Expand (multiply out) single brackets: 9(4x + 2y 3) P(P + 4) 3x +5 = 2x + 12 Y=7(x-4) Find Y when x = - 9 M = n + nb Find M when n = 6 and b = - 3 Y = 5x + w Find Y when x = - 4 and w = th Mar 5.1 S: Rotation p173 C: Rotation p256 Rotating shapes Rotational symmetry H: Rotation p255 Rotating shapes Rotational symmetry Rotating Shapes

15 Rotational Symmetry 31 st Mar 5.2 S: Reflective symmetry p134,170 C: Line Symmetry p261 Line symmetry Reflections Line Symmetry H: Line Symmetry p259 Line symmetry reflections Reflections

16 5.3 S: Translation p137,172 C: Translation p266 translations H: Translation p266 translations 7 th 22 nd Apr EASTER HOLIDAYS 28 th Apr REVISION WEEK: Mixed Reviews 1-6 pupils attempt the reviews from 7S, 7C or 7H 5 th May REVISION WEEK: Mixed Reviews 1-6 pupils attempt the reviews from 7S, 7C or 7H 12 th May END OF YEAR EXAMS END OF YEAR 7 EXAM WEEK 19 th May Go through the End of Year 7 Exams 26 th 30 th May MAY HALF TERM

17 2014 Jun-Jun 20 th Finish going through the rest of the book 5.4 S: order of operations, doubling & halving p100,154 C: Number review p270 multiples, factors, prime numbers, HCF and LCM fractions, decimals, percentages long multiplication and division adding, subtracting, multiplying and dividing decimals finding a fraction of or a percentage of a quantity H: Number review p269 multiples, factors, prime numbers, HCF and LCM fractions, decimals, percentages long multiplication and division adding, subtracting, multiplying and dividing decimals finding a fraction of or a percentage of a quantity Aim to go through as much of the remainder of the textbook as possible. 5.5 S: Expected probability p179 C: Probability 2 p279 find the probability of an event H: Probability 2 p275 find the probability of an event 5.6 S: C: Interpreting graphs p285 read information from line graphs draw line graphs in real life situations H: Interpreting graphs p283 read information from line graphs

18 draw line graphs in real life situations interpret and draw travel graphs 5.7 S: C: Algebra review p291 algebraic expressions and formulas H: Algebra review 5.8 S: C: Rounding Numbers p293 round numbers calculate using estimates 5.7 H: Rounding Numbers p290 round numbers calculate using estimates 6.1 S: Equations p122 C: More equations p310 review equations covered in section 4.6 H: More equations p 313 review equations covered in section S: C: Sequence rules p 312 find rules for sequences H: Sequence rules p315 find rules for sequences 6.3 S: C: Metric & Imperial Units p318 convert metric units convert between metric and imperial units read scales change units for some problems H: Metric & Imperial Units convert metric units

19 convert imperial units convert between metric and imperial units change units for some problems 6.4 S: C: Angles & Constructions p325 review angle work from unit 2 construct a triangle with three sides given construct bisectors H: Angles & Constructions p328 review angle work from unit 2 construct bisectors of lines and angles 6.5 S: Three Dimensional shapes p30 C: Three Dimensional Objects p331 recognise common solid objects count faces, edges and vertices make shapes with nets H: Three Dimensional Objects p334 count faces, edges and vertices make shapes with nets 16 th Jun 2014 Summer Term Activities week Jun 23 rd 2014 CHANGE OF TIMETABLE Start Year 8 SOW NOTES FOR THE TEACHER This is an Active SOW which tells the teacher what to teach and when and how best to approach a topic. It is a working document and notes should be made as required on the doc. each week or each lesson. These notes will then be shared during departmental meetings. Classwork - Teacher Activity: Page numbers refer to Essential Maths 7S, 7C and 7H Class Texts used with all Year 7 groups. Examples are provided in the boxes in each book to help you direct the lesson.

20 Student Activity: Page numbers refer to Essential Maths 7C Class Text. Chapters in Books 7C and 7H follow the same order and so differentiation is straight forward. However, Book 7S focusses predominantly on level 3-4 work Explicit Differentiation Support work (levels 3-4 in book 7S) is in normal type; Core work is in bold type (levels 4-5 in book 7C) and Higher work is in italics (levels 5-6 in book 7H) Use book 7H to challenge most able (~ top 5 students in a class), use book 7S to support low attainers (~3 in a class) and book 7C for the majority. Explicit differentiation should now be an integral part of every lesson ask me if you are unsure what this means. Mental Arithmetic Our focus at KS3 will be on Mathematical Proficiency. This means that by the time our children reach Year 9 they should have a strong understanding of basic number, money and measurements. This will in turn help them access the more demanding aspects of this subject. I propose we use the Schofield & Sims workbooks with every Y7 once a fortnight. Children will be given an Entry Test in September to help us determine the book they should be working at Book 0 (introductory book) to Book 6 (hard). Homework - Teachers should alternate homework between 1 x Written and 1 x Online ( to ease the pressure of marking). Set about 30 minutes of work each week. Teachers are advised to keep an Electronic homework record see me if you need help setting this up. Assessment - All Year 7 pupils will sit for their end of year Exams in May Students will also be assessed at the end of each term (December and March). NB: You may find that sometimes you are ahead of the SoW and sometimes a little behind. Your job is to cover as much material as possible but be flexible and try not to rush your class. It is better that your students understand what they are doing and most importantly enjoy your lessons.