The Broxbourne School ~ Upper Band Yr 7 Scheme of Work 2001-2002

TERM 1

Mental and oral starters:

This term focus on the number stategies in week 2. NNS pages 184,188,198 provide ideas for starters.

WK

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TOPIC

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OBJECTIVE

/ CONCEPTS/OBJECTIVES /

NNS Pg REF

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LEVEL

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RESOURCES

/ RELATED RESOURCES / VOCAB SHEET
1 / INVESTIGATIVE WORK ~ NUMBER / NECKLACES/MULTIPLICATION PATTERNS I1 / L
Key questions
2
/ NUMBER
Ma2~1a,1b,1c, 3a,3b,3g,3I, / 1A
11,
12
9 / Place Value ~ Whole numbers
Decimals
Multiplying and dividing by powers of ten
Ordering decimals
Strategies for mental addition and subtraction ~ Partitioning
Compensation
Complements
Doubles/Halves
Arithmetic laws ~ Commutative
Associative
Distributive
Inverses / 36
36
38, 96
40
92
94
88
84 / 3/4 / Pg122 Ex6.1,6.2
Pg127 Ex6.4,6.5
Pg 124 Ex 6.3 Pg80
Ex 4.10 W4
Pg131 Ex6.8
C/W W3
C/W / O/M Guess the times table
O/M Box 5 / D1
N1
Key questions:
  • Why do 5  10 and 50  100 give the same answer?
  • What number is 10 times as big as 0.01? How do you know?
  • I divide a number by 10 and then by 10 again. The answer is 0.3. What number did I start with? How do you know?
  • How would you explain to someone how to multiply a decimal by 10?
  • Which numbers do you think were the hardest to put in order? Why?
  • Give me a number somewhere between 3.12 and 3.17. Which of the two numbers is it closest to? How do you know?
  • How many different multiplication and division facts can you state using what you know about 56? What if you started with 5.6? What about 11.2? or 1120?

3 / SSM
Ma3~2f,2j,2k
INVESTIGATIVE WORK ~ SHAPE / 31
34
29
34 / Properties of triangles, quadrilaterals and polygons
Use parallel/perpendicular and equal sides conventions
3-D shapes (vertices, edges, faces, cube, cuboid, pyramid)
PENTOMINOES for nets & 3d shapes I2 / 186
178, 180
198 / 4 / Origami shapes W9
Pg 147 Ch7 / O/M Group Problem solving 1 and 2
O/M Visualisations
O/M Back to back / S2
S3
L
Key questions
  • What is the difference between parallel and perpendicular lines?
  • Name a 2D shape that has both parallel sides and perpendicular sides.
  • Draw a polygon that has neither parallel nor perpendicular sides.
  • If one angle of an isosceles triangle is 50 what could the other angles be?

4 / NUMBER
Ma2~1a,1b,1c, 3a,3b,3g,3j,3I, 3k,4c / 9
14
15
17 / +,-,x, of integers
Use column methods of addition and subtraction of decimals and whole numbers
Paper methods of multiplication and division ( whole numbers & decimals)
Checking procedures for calculations / 82
104
104
106
110 / 4/5 / Pg78 Ex4.8,4.9
W1&W2 & pg133 Ex6.10
W1&W2 & pg 134 Ex6.11,6.12,6.13 / ICT ~ DLK magic square & magic hexagon / N1
Key Questions
  • Make up an example of an addition/subtraction involving decimals that you would do in your head and one you would do on paper. Explain why.
  • The answer is 12.6. Make up some questions using multiplication and division with decimal numbers.

5 / HANDLING DATA
MA4~3a / 45
48
49 / Tallying and collecting data
Frequency tables inc. grouping data
Drawing ~ Bar charts
Bar line
Frequency diagrams
Interpreting charts / 252
262
264
268, 270 / 4
3
4
4 / C/W
C/W Pg10 Ex 1.4
Pg2 Ex1.1
Pg10 Ex 1.4
Within above exercises / ICT ~ Excel
OHT Travel graphs / D3
Key Questions
  • Make up 3 questions that can be answered from this graph/chart/table.
  • What makes the information easy or difficult to interpret?

6 / NUMBER
Ma2~2c,3c,3d,3l / 5
6 / Know numerator and denominator
Use fraction notation to describe a proportion of a shape
Simplify and recognise equivalent fractions
Improper and mixed fractions
Express a smaller number as a fraction of a larger number
Calculate fractions of a number / 60
62
68 / 3
¾
5
6
5 / Pg 342 Ex15.1,15.2
Ex15.6,15.7
Ex15.4
C/W
Ex15.3 / ICT~ DLK Fractionmate
‘Alison’s lesson’ / F1
Key Questions
  • What clues did you look for to cancel these fractions to their lowest terms?
  • How do you know when you have the simplest form of a fraction?
  • Two fifths of a total is 32. What other fractions of the total can you find?
  • What is the same about ¼, 3/12 and 10/40? And what is different about them?

7 / NUMBER
Ma2~3c
ASSESSMENT / 5
6 / Convert terminating decimals to fraction
Compare fractions using decimal form
Add/Subtract simple fractions
ASSESSMENT / 64
66 / 6
6
6 / C/W
C/W
Ex15.5 / F1
Key Questions
8 / HANDLING DATA
Ma4~ 4c,4d / 51
52 / Probability ~ Language
Scale
Calculating theoretical
probability / 276
278
278, 280 / 5
5 / Pg 172 Ex8.1
Probability washing line
Pg 174 Ex8.2,8.3,8.4 / D4
Key Questions
  • What is the same about and what is different about picking a red ball from  a bag containing 2 red balls and 3 black balls and  a bag containing 10 red balls and 15 black ones?

9 / ALGEBRA
Ma2~5a,6d / 18
19
20 / Know that letters stand for numbers
Recognise algebraic conventions
Use equals sign and letter symbols
Simplify linear terms / 112
114
116 / 4
5
5
5 / C/W
C/W
Pg194 Ex9.1 to9.6,9.8,9.10,9.11
Ex9.12,9.13,9.14,9.15 / O/M: NNS Algebra loop cards
Addition crosses/squares
O/M or plenary: Simplification Snakes 1 / A1
Key Questions
  • Thinking about your class, what could b and g stand for in: b + g = 31 and g = 31 – b ? Can you make any other equivalent equations? NB to teachers: b does not stand for boys – it stands for the number of boys; insist all use the correct language at this early stage.
  • Use digit cards to make: 3 + 5 = 8 and m + n = p What is the same and what is different about these? Rearrange the number equation to make another correct equation… now rearrange the algebraic one in the same way. Does it make sense? Explain.

10 / ALGEBRA
Ma2~ 6a,6b,6c,6d / Function machines
One stage
Two stage
inverses / 162 / 4/5
5 / Pg62 Ex3.8,3.9,3.10
W/S needed / Function machine matching cards
Plenary: NNS Number machines / N5
Key Questions
11 / SHAPE & SPACE
Ma3~2e,5f / 42 / Perimeter
Area ~ rectangles
Composite rectangles
Surface area of cuboids / 234
236
238, 240 / 4
5 / Pg314 ex14.1,14.8
Ex14.3,14.5,14.6,14.7,14.9
W/S needed / S5
Key Questions
  • Why is it a good idea to split this shape into rectangles to find the area?
  • How do you go about finding the dimensions of the rectangles? … the compound shape?
  • Form a compound shape by pushing together 2 rectangles. Compare the area and perimeter of the rectangles with the compound shape. What has changed and why? What happens if you join the rectangles in a different way? Why?

12 / SHAPE & SPACE Ma3~2e,5f / 42 / EXT Area ~ Triangles
Parallelogram
Trapezium
Composites of above / 235 / 5
6
6
6 / Ex14.10,14.11
Ex14.12
W/S needed
Ex14.13,14.14 / ICT ~ DLK areamate / S5
Key Questions
13 / ALGEBRA
Ma2~6a,6b,6c / 23
4
24 / Generate and describe number sequences
Recognise square, triangular and cube number sequences
Term to term rules
Position to term rules / 144, 146
148
150 / 5/6 / ICT & C/W & Worksheet / ICT Excel Activity 2, 3, 4 / S1
Key Questions
14 / ALGEBRA
Ma2~6a,6b,6c / 25 / Generate nth term rules for simple practical contexts
DOTS & PATTERNS I6 / 154, 156 / 5/6 / C/W & Worksheet / S1
L
Key Questions
15 / NUMBER
RECAP & ASSESSMENT / LONG MULTIPLICATION ( NAPIERS BONES)
RECAP & ASSESSMENT / 5 / W/S
RECAP & ASSESSMENT
Key Questions
  • Give pupils 3 or 4 long multiplications with mistakes in them. Ask them to identify the mistakes and talk through what is wrong and how they should be corrected?
  • Give pupils a multiplication question (eg 147 x 32) calculated by both the grid method and long multiplication. Ask questions such as: What two numbers multiplied together give 4410? or 294?
  • If 216 x 54 = 11 664, what would be the answer to 2.16 x 5.4? What is the same and what is different about these calculations?

TERM 2

MENTAL & ORAL STARTERS ~ Ideas on NNS pg 100

1 / NUMBER
Ma2~ 2a,3h / 1B
13 / Rounding whole numbers (to 10,100,1000)
Round decimals (1,1dp,2dp)
Rounding sensibly after calculations
Approximating answers / 42
44
102 / 4/5 / Pg72 Ex4.1 to 4.6
Pg128 Ex6.6,6.7 / NNS Three in a row (1) / D1,D2,N2
Key questions
  • 31.75 x 4.63 is approximately 15 Explain why 317.5 x 0.463 is approximately 150. In pairs write your own variation, with its
9.64 0.94 approximate solution. Share with another pair.
2 / NUMBER
Ma2~ 2e,3m,3e / 7
12 / Understand percentages
Calculate percentages
Compare to fractions and decimals
Use percentages to solve problems
Give one number as a percentage of another number / 70
72
70,98
74 / 4
5
6
6 / Pg353 Ex15.8
Pg360 Ex15.12,15.13
Pg355 Ex15.9,15.10,15.11
W/S needed / ‘Emma’s lesson’ / F1
Key questions
  • What percentages can you easily work out in your head?
  • When calculating percentages of anything, what percentage do you usually start from? How do you use this percentage to work out others?
  • Are there are percentages that you cannot work out?
  • Give me a question with an answer of 20%.
  • ‘To calculate 10% of a number you divide by 10. So to find 20% you must divide by 20.’ What is wrong with this statement?
  • Is 5/40 less than or bigger than 10%? How do you know?
  • Pick out the odd one out: 20% ¼ 0.2 How do you know?
  • Put these numbers in order of size: 50% 3/7 0.6 0.45 2/5 Which were the difficult ones? Why? How did you overcome these difficulties?

3 / SHAPE & SPACE
Ma3~3a,3b / 35 / Symmetry ~ Reflection
Rotation
Translation / 202, 204, 206
208, 210
212 / 3/4
4
4 / Pg26 Ex2.1,2.2
Pg29 Ex2.3 Qu1,2,5
Pg40 Ex 2.7
W/S needed / ICT: Autograph – Transformations Activity 1
ICT: Cabri Activity 3, 4, 5 / S1
Key questions
4 / NUMBER
Ma2~3b
INVESTIGATIVE WORK / 10 / BODMAS
CRAZY CREATURES I3 / 86 / 4 / Pg85 Ex4.13 to 4.16 / N2
L
Key questions
  • What clues do you look for in the wording of questions? What words mean you need to add, subtract, multiply or divide?
  • Make up two different word problems for each of these calculations. Try to use a variety of words.
(17 + 5) x 6 12.5  5 – 0.25 etc
5 / NUMBER
Ma2~2a,2b / 3
4
11 / Factors, primes, multiples, LCM, HCF
Squares, cubes and roots & triangular numbers
Using factors, powers and roots in calculations / 52,54
56, 58
90 / 4 / Pg53 Ex 3.1,3.2,3.3,3.4,3.5
Ex3.6,3.7 / N3
Key questions
6 / RECAP & ASSESSMENT / RECAP & ASSESSMENT
7 / NUMBER
Ma2~2a / 2 / Negative numbers ~ ordering
+/- (ext x/)
Use in context / 48
48
50 / 4
5 / Pg246 Ex11.1,11.2,11.3
W/S needed / ICT: Excel Activity 7 / NEG1
Key questions
8 / ALGEBRA
Ma2~5c / 22 / Substitution using +ve and –ve numbers / 130, 140 / 5 / W/S needed / ICT: Excel Activity 1
Race Game (QCA) / A1
Key questions
9 / INVESTIGATIVE WORK / FROGS I7&8 / L
Key questions
10 / SHAPE & SPACE
Ma3~2a,2b,2d,4b,4d,4e / 38
30
30
41 / Measuring and drawing angles
Types of angle (acute, obtuse, reflex)
Calculating angles ( line, vertically opposite, triangle)
Constructing triangles / 220
232
182
222 / 5
5
5
4/5 / Pg223 Ex10.3,10.7,10.4 Ex10.2
Ex10.5,10.6.10.8,10.9,10.10,10.11,10.12
C/W / ICT ~ DLK Anglemate
Group problem solving 3 + 4
ICT: Cabri Activity 1, 2, 11 / Angles 1
Key questions
  • Ask pupils to estimate and measure a range of acute and obtuse angles using a transparency of a protractor with the numbers removed.
  • As above, but with the two corners broken off.
  • What important tips would you give to a person about using a protractor?

TERM 3

1 / INVESTIGATIVE WORK / HANDSHAKES I10
Key questions
2 / NUMBER
Ma2 2f,3f,3n,4a / 8 / Understand proportion
Understand ratio and notation
Divide a quantity into a given ratio
Scale drawing / 78
80 / 5
5
6 / W/S Needed
Pg 274 Ex12.4,12.5 / Just compare
Ratio contexts
Ratio worksheet 1, 2
Cards
Onion Soup
Boxes 1
Best Buys / R1
Key questions
  • There are 20 boys and 10 girls in Class 7. Give me a sentence using the word ratio (or proportion). Ask for alternatives.
  • Look at this Carroll diagram.
Give me a question that has the answer:
a)3:7
b)40%
c)2:1
d)
3
/ SHAPE & SPACE
Ma3~4a / 40 / Units
Metric ( length, mass, capacity)
Imperial
Imperial/metric conversions
Reading scales / 228
230 / 3-5(conversions
5
4 / Pg268 Ex12.1,12.2,12.3
Ex12.4,12.5,12.6
Ex12.7
Ex12.8,12.9 / ICT ~ DLK Scalemate
Key questions
  • In how many ways can you put numbers on the scale so the pointer reads 48?

4 / DATA HANDLING
Ma4~ 4b,4g / 47 / Averages ~ Mode
Mean
Median
Range
Compare two distributions using averages / 256
258
260
272 / 4
5
5
4 / Pg374 Ex16.3
Ex16.1,16.2
Ex16.4
Ex16.6
Included in above exercises / D2
Key questions
  • Which dinner lady would you choose to go to:
  • Mary serves an average of 25 chips every day,m with a range of 5 chips…
  • Jayne serves an average of 25 chips every day, with a range of 12 chips…
  • Write down 5 numbers with a median of 7, a range of 10 and a mode of 6.
  • Can you now write down a set of 5 numbers with a median of 7, a range of 10, a mode of 6 and a mean of 9?

5 / ALGEBRA
Ma2~4b,5d,5e / 21 / Construct and solve linear equations / 122
124 / 5/6 / Pg295 Ex13.4 13.5, 13.6, 13.7, 13.8, 13.9, 13.10, 13.11 / O/M or activity: Equations dice
game – Three in a row
Pyramids – see lesson plan
Solving equations (cards) – see
lesson plan / A1
Key questions
6 / ALGEBRA
Ma2~4b,5d,5e / 22 / Construct and solve linear equations
Inc. trial and improvement / 122
124 / 5/6
6 / Pg295 Ex13.4, 13.5, 13.6, 13.7, 13.8, 13.9, 13.10, 13.11 / A1
Key questions
7 / SHAPE & SPACE
Ma2~6e
Ma3~3e / 37 / Use co-ordinates in all 4 quadrants / 218 / 5 / Ex11.4,11.5,11.6 / ICT: Omnigraph Activity 4 / S4
Key questions
  • A square has vertices at (0, 0), (3, 0) and (3, 3). What are the coordinates of the fourth vertex? [oral]
  • A square has vertices at (3, 0), (0, 3) and (-3, 0). What are the coordinates of the fourth vertex?
  • A square has vertices at (0, 0) and (2, 2). Give possible answers for the positions of the other two vertices.
  • A square has vertices at (-1, 1) and (-2, -3). Give possible answers for the positions of the other two vertices.

8 / ALGEBRA / 26
27
28 / Draw simple mapping diagrams
Find co-ordinates for simple linear functions
Consider features of graphs of linear functions
Plot graphs of simple linear functions from real life situations / 160
164
166
172, 174, 176 / 5
5
5
5 / C/W
C/W / ICT: Omnigraph Activity 1, 4
ICT: Autograph Algebraic Activity 1 / G1
S4
Key questions
9 / DATA HANDLING
Ma4~ 4e,5h / 53
54 / Calculating experimental probabilities
Comparing theoretical and experimental probabilities
EXT Sample space, 2 event probability / 282
284
281 / 5
5
6 / Practical work
Practical work
W/S & racing horses / D4
Key questions
10 / NUMBER / NUMBER REVISION: Long multiplication, fraction, percentages, decimals
( EXT to PIE CHARTS) / 5/6 / C/W
Pg7 Ex1.3 more needed
Key questions
11 / EXAMS / EXAMS
12
13
14 / HANDLING DATA / 40
45
46 / SURVEY I11-I13
Discussing problems that can be addressed by statistical methods
How to collect data (Sampling)
Plan data collection sheet
Discuss primary and secondary data
Write a report on a statistical inquiry / 248
250
252
254
272 / D3
Key questions
15 / SPARE
EXTENSION TOPICS

Angles in parallel lines L6, Polygon properties L6 Enlargement L6