Year 8 (2003 revised version) (DOC, 127 KB)

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
Autumn term: first half
Year 8 Scheme of Work
Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods …
 Recall of numbers facts
 Add, subtract, multiply and divide integers
 Make approximation and justify estimated answers verbally
 Recognise and use prime numbers square numbers and
 Explain their process of thinking when explaining a problem solved.
square roots
 Explain their methods of mental arithmetic
Year 8 Framework
Stick pupils Aims Sheet into their exercise book
Date &
Topic
Objectives: pupils will be taught to
2G FOUNDATION
2B INTERMEDIATE
2R HIGHER
Hours
6/9/02
4
Number
 Review place value ordering and rounding (including decimals)
Pg 6 Ex 1C- 1D, Pg 123 Ex 8H
Pg 2-5 Ex 1A-1B, Pg 122 Ex 8F,
Pg 1-3Ex 1A, Pg 8-9 Ex 1D
CAME Task 19 ACCURACY AND ERRORS
Pg 125 Ex 8H, Pg 124 Ex 8G
 Review reading writing positive integer powers of 10, multiply and divide
Pg 12-14 Ex 1H ( not 0.1 etc)
Pg 8-13 Ex 1D-1F, Pg 122 Ex 8C
Worksheet
by decimals 0.1, 0.01, 0.01
Pg 58 Ex 3H,
 Use square cube and their roots, use index notation.
Pg 51-52 Ex 3G
Pg 63-64 Ex 3M
Pg5 Ex 1C,
 Number operations and the relationships, understand and use the inverse Pg 76 –83 Ex 5B –5C,*
Pg 13 Ex 1G,
operations including the use of brackets (*as a start for brackets in
Pg205-207 Ex 13D*
Worksheet from 2G Ex 13D*
Worksheet from 2G Ex 13D*
algebra)
Algebra
Pg 65-72 Ex 4B –4F
Pg 69-71 Ex 4B-4C
Pg 160-161 Ex 10A,
4
 Simplify linear expression by collecting like terms
Pg 63-64 Ex 4A, 201-203 Ex 13A, Pg 67-68 Ex 4A
Pg 238-241 Ex14C – 14D
 Review constructing an equation previously expressed in words
Pg 209-214 Ex 13G – 13I,
 Solve simple linear equations
Pg 205-207 Ex 13D *worksheet Pg 73 Ex 4D- 4E
Pg 164-168 Ex10D –10F
 Multiply out brackets in algebra
for algebra
 Know and use inverse operations to help solve problems, know and use
Pg 76 Ex 5D –5E review 5B-C*
facts that algebraic operations follow the same laws and order as
Starter 10.2, 14.1
arithmetic operations (*linked with number operations in pervious topic on
Shape & Space
Number)
4
Pg 132 Ex9A
Worksheet
Pg29-31Ex 2J
 Identify alternate and corresponding angles
Pg 30, 37-38, Pg 39-40, Ex2C-2J Pg 31-38 Ex 2H-2I, 2K
Pg 19-26 Ex 2D-2G ,
 Know and use angles of a triangle add up to 180o and a quadrilateral
adds up to 360o
Pg 133-134 Ex 9B
Pg 139-141 Ex 9B,
Starter 2.8
 Solve problems using side and angle properties of equilateral, isosceles
and right angled triangles and special quadrilaterals, explaining reasoning Pg 137-140 Ex 9E –9G
Pg 144-151 Ex 9E-9H
Pg 124-129 Ex7G-7I
 Understand if 2D shapes are congruent then their corresponding sides
and angles are equal.
 Know and use geometric properties of cuboids and shapes made from
Handling data
cuboids, begin to use plans and elevations.
4
Pg 182-183 Ex 12A especially Q4
Starter 13.1A
 Decide on a problems that can be addressed by statistical methods and
& Q6
identify related questions to explore,
Pg 183-188Ex12A-12B
 Decide which data to collect and how to collect the data including the
sample size
 Design and use a tally chart to collect information
 Construct frequency tables with given class intervals for sets of
Pg 188 – 191 Ex 12C
Pg210-221 Ex 13A – 13E
continuous data
Pg 185-188 Ex 12B – 12D
Pg 198Ex 12G
 Construct on paper and using ICT Bar charts and frequency
diagrams for discrete and continuous data.
3hrs
Review
Assess
End of First half term Test
1hr
CAME Task 13
BORDER AND INSIDE
Pupils complete check sheet for this half term

Autumn term: second half
Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods …
 Recognise prime odd even and square numbers
 Use approximation to check answers
 Practice mental addition and subtract Ex
 Practice multiplication tables
Stick pupils Aims Sheet into their exercise book
Date &
Topic
Objectives: pupils will be taught to
2G FOUNDATION
Hours
28/10/02 Number
 Add and subtract, multiply and divide integers
Pg 11-12, 14, 18-24 Ex 1F-1G, 1I
4hrs
–1O
 Recognise and use factors, multiples, common factors and primes
 Be able to find the HCF, LCM and prime factors
Pg 47-51 Ex 3E – 3F
 Use square numbers and square roots, cubes and cube roots and
“ “ “
“
“
index notation for small positive integer powers
Pg 51-52 Ex3G
 Review equivalent fractions, improper fraction, and mixed numbers
 Multiply and divide fractions
Pg 89-90, Ex 6B – 6C, Pg 95 Ex
6E
Worksheet
4
CAME Task 21
EXPRESSIONS AND EQUATIONS
Algebra
 Construct and solve linear equations expressed with unknown on
Pg209–214 Ex 13C, 13E,
either or both side with or without brackets
review13G-13I
 Substitute integers into simple formulae, including solving the
Pg 208 Ex13 F,
equation
 Use positive integers into expressions involving small powers
 Derive simple formulae
4
Cabri ICT Cross Curriculum Task
Shape & Space  Transform 2D shapes by rotations, reflection and translation on paper
and using ICT
Pg26 –28 Ex2A
 Identify all the symmetries of 2D shapes
Use of literacy strategy
 Understand and use language and notation associated with
Worksheet SMP
enlargement.
 Enlarge 2D shape, given a centre of enlargement and a positive
Cabri
whole number scale factor
Pg 168-177 Ex 11A-11B
 Use ICT to explore enlargement
 Review co-ordinates and be able to find mid point of line AB given the
4
co-ordinates of A and B
Handling Data
Worksheet Understanding pie
 Construct and use pie charts to display and analyses information charts
 Know and use the language of probability and appreciate that the
random process is unpredictable
Worksheet
 Design and use two -way tables for discrete data.
Pg 100-105 Ex7A – 7C
 Know that if the probability of an event is 1 then the probability of it not Pg 105-106 Ex7D
occurring Is 1 - p.
 Find and record all possible exclusive outcomes for single
Pg 107-110 Ex 7E– 7F
events and two successive events in a systematic way using
diagram and tables
3 hrs
1hr
Assess and
review
CAME Task 16
End of half term oral Test
THREE DICE
Pupils complete check sheet for this half term
 Order numbers including decimals
 Discuss and share methods of x & ÷ mental calculations Ex5F
2B INTERMEDIATE
Pg 16–17 Ex 1H-1I, Pg 45-49 Ex 3A3B
Ex 3G 3J-3L
Pg49-54 Ex3C-3E,
Pg54-55 Ex3F
Pg 92-96 Ex 6B-6D
Worksheet
2R HIGHER
Pg 75-86 Ex 5A-5E
Starter 1.2
Starter 1.3
Starter 3.1B
Pg 34-36 Ex3A-3D
Pg 45-51 Ex3G-3H
Starter 14.2, 14.5, 14.8
Pg201-204 Ex 13A,
Pg 208-214 Ex13D-13H
Pg 205-208 Ex 13B-13C
Pg 169-171 Ex 10H
Pg 233 – 244 Ex 14F-14G
Ex 14A &14B
Starter 2.1, 9.5 9.6 Pg 20-22 Ex2A
Cabri ICT Cross Curriculum Task
Review SMP worksheets
Worksheet SMP
Cabri
Pg167-171 Ex 11A
Cabri ICT Cross Curriculum Task
Logo Pg 311 Ex18L-18O
Pg 173-175 Ex 11A- 11C
Pg 177 –180 Ex 11D - 11F
Cabri
Pg 182-185 Ex 12A-12B
Pg 224-226 Ex 13F
Pg 191-197 Ex 12D-1E
Starter 7.1 Pg 100-101Ex 7A
Ex 4A-4B (See Pg 307-309 GCSE
Pg 192-183 Ex 12A
foundation text)
Pg 66 – 73 Ex 4C –4D
Pg 102 –105 Ex 7A-7B, 7E
Pg 71-73 Ex 4E
Pg 106-110 Ex7C-7D

Spring term: first half
Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods …
 Read and write whole numbers in figures and words
 Recognise multiples and use tests of divisibility
 Add several small numbers and find their mean
 Count on / back in steps of 0.41, 0.752…
 Add / subtract pairs of numbers: such as 7.6 ± 3.8, 760 ± 380
 Order decimals in different contexts
Stick pupils Aims Sheet into their exercise book
Date &
Topic
Objectives: pupils will be taught to
2G
Hours
6/1/03
3hr
1hr
3hr
Number
 Find doubles and halves of decimals
 Interpret graphs, pie charts and bar charts and discuss hich are most useful for
specific types of problems
FOUNDATION
 Know that a recurring decimal can be expressed as a fraction, i.e. 1/3 is Worksheet
0.333333
 Add and subtract fractions.
Pg 91-98 Ex 6C – 6F
 Understand and use the rules of negative numbers
Ex 10A – 10 J (be selective)
2B INTERMEDIATE
2R
HIGHER
Pg 129 Ex 8K Q2 only
Pg 92 –95 Ex 5I - Ex 5J
Pg 97-99 Ex 6E
Ex 10 A – 10 D
Pg 43- 44 Ex 3F
Ex 8A – 8E
Came task 29
Algebra
STRAIGHT LINE GRAPHS
Review Ex 11C
 Understand and be able to draw the graph of an simple linear equation
Ex 11D – 11E
 Use linear equations to solve simple problems involving direct proportion Pg 214 Exc 13J
Shape & Space
 Be able to construct the mid point and perpendicular bisector of a
line segment
 Be able to bisect and angle
 Construct the perpendicular from a point to a line and on a line
 Construct a triangle given three sides also use ICT to explore these
constructions
(Use ICT for help with this topic)
Worksheet
Worksheet
Worksheet
Worksheet
Cabri
Worksheet
Worksheet
Worksheet
Worksheet
Cabri
 Estimate probabilities from experimental data
 Understand that if an experiment is repeated there may be different
outcomes
 Understand the number of times an experiment is repeated generally
leads to better estimates of probability
Conduct a probability
experiment
SEE CAME TASK)
Pg 111-113 Ex 7F
Practical Task
Conduct a probability experiment i.e. Rolling Drawing Pins
(SEE CAME TASK)
See SMP B2 pg 95
SEE CAME TASK)
Pg171 –175 Ex 11B-11D
Pg 187-193 Ex 12C – 12F
Conversion graphs Ex 11F-11G Pg 198 – 206 Ex 12I- 12J(omit
(to be done in Summer 2nd half) Q5.)
4hr
1hr
Handling Data
1hr
CAME Task 29
2hrs
Assess and review
HEADS OR TAILS
Pupils complete check sheet for this half term
Pg 121-123 Ex 7E-7F
Activity Sheet 2 & 3
Cabri
Pg 118-121 Ex 7C- 7D

Spring term: second half
Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods …
 Add / subtract pairs of numbers: such as 7.6 ± 3.8, 760 ± 380
 Find two decimals with a sum of 1 or 0.1
 Order, add and subtract positive and negative numbers
 Recognise factors, multiples, square numbers and primes
 Multiply and divide a two-digit number by a one-digit number
 Find halves of decimals and fractions
Stick pupils Aims Sheet into their exercise book
Date &
Topic
Objectives: pupils will be taught to
Hours
3/3/03
4
Number
 Review changing fractions to decimals
 Calculate fractions of quantities/Multiply or divide a fraction by an
integer
 Change fraction and decimals to percentages
 Express one number as a percentage of another
 Use equivalent fractions, decimals and percentages to
compare proportions
3
4
1hr
4hr
Algebra
Shape & Space
CAME Task 18
Handling Data
2hrs
Assess and review
1hr
Came Task 28
2G FOUNDATION
 Convert between fractions, decimals, percentages
 Find equivalent fractions
 Practice angle facts
2B INTERMEDIATE
2R
HIGHER
Board work or worksheet
Pg 91-93 Ex 6C-6D
Review Ex 8K Q2.
Pg 89-90 Ex 6A
Pg 41-42 Ex 3E
Pg 45-51Ex 3G-3H
Pg 125-126 Ex 8I
Pg 126-129 Ex 8J
Pg129-130 Ex 8K
Pg 127 Ex8J - Ex 8K (except Q2)
Pg 133 Ex 8N
Starters 6..2, 6.3, 8.10(plus work
Pg 98-100 Ex 6A
Pg 104-105 Ex 6D – 6E
Starters 3.2, 3.5, Ex 3B-3D
above)
 Generate and describe integer sequences
 Generate term of a linear sequence using term to term, or term to
position, definitions of the sequence on paper and using ICT
Spreadsheet or graphical calculator.
 Begin to find the nth term
Pg 73-5 Ex 5A
Pg 84-85 Ex 5F
Excel
Workshee tSee Ch 17
 Use units of measure to estimate calculations and solve problems
in every day contexts
 Know and use measurement for length.
 Review perimeter of square, rectangle and triangle and area of a
square or rectangle
 Deduce and use formula for the area of a triangle and,
parallelogram
Starters 9.7,9.10
Pg 151
Review
Pg 141-145 Ex 9H-9I
Pg 218-220 Ex 14B-14D
Review Pg 152 Ex 9I
Pg 214-219 Ex 14A-14C
Review
Starters 15.1A, 15.1B Pg 251
CORRELATION SCATTERS
 Construct scatter graphs and discuss the appropriate use of
scatter graphs
 Review other forms of representing data e.g. bar charts, pie charts
etc
 Identify which of the methods of representing data is most
useful in the context of a problem.
 Collect data of suitable topic and produce a report using ICT
support.
COMPARING CORRELATION
Pupils complete check sheet for this half term
Pg 147-155 Ex 9A-9D
Pg 76-81 Ex 5A-58
Pg81-84Ex 5C
Excel
See Ch 17
Pg 220-222 Ex 14E
Excel Ch 18
Pg 155-159 Ex 9E-9F
Pg 251-257 Ex 15A-15B
Pg 220-225 Ex 14D-14F
Worksheet
Pg 227-231 Ex 13H
Pg195-199 Ex 2F-12G
Review Pg 182 Ex 12A
Pg 185-195 Ex 12B-12D
Write questionnaire on
‘Healthy Living’
Review Pg 208-221 Ex 13A –13E
Review Pg184-188 Ex 12B
Write questionnaire on ’ Healthy
Living’
Write questionnaire on ’ Healthy
Living’

Summer term: first half
Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods …
 Understand and use standard methods of multiplication
 Discuss the implication of multiplying integers and decimals
 Methods of checking results considering whether it is in the right order of
 Understand and use standard methods of division
such as 6 x 8 and its relevance to 0.6 x 0.8 etc
magnitude
 Recall facts of decimal, fraction and percentage conversion.
 Discuss the implication of dividing integers and decimals such  Discuss methods of checking results by considering working the problem
as 6 x 8 and its relevance to 0.6 x 0.8 etc
backwards
Stick pupils Aims Sheet into their exercise book
Dates & Hours Topic
Objectives: pupils will be taught to
2G FOUNDATION
2B INTERMEDIATE
2R HIGHER
28/4/03
3hrs
Number
 Calculate percentages and find the outcome of a given percentage increase or Worksheet on Sale Price
Ex 131-32 Ex 8M
Pg 102Ex 6C,
decrease
and Savings
Pg106-110 Review Ex 6E
 Use of calculator using function keys effectively sand efficiently for sign change,
Ex 6F
powers, roots and fractions
Pg 294-296 Ex 18A -18B,
Pg299-300 Ex 18D
3hrs
Algebra




Review finding and describing a sequence
Express simple function in symbols, represent mapping expressed algebraically
Generate points in all four quadrants and plot graphs functions,
Recognise that equations of the form y = mx + c correspond to straight line
graphs
3hrs
Assess and
review
2hrs
Shape & Space  Review and use formula for the area of a triangle, parallelogram and extend to a
trapezium
 Calculate area of compound shapes made from rectangles and triangles.
 Know and use measurement for capacity and mass
 Deduce how to find the volume of a cube and cuboids.

1hr
Came Task 30
HOW DO I HANDLE THE DATA?
Pupils complete check sheet for this half term
Review Ex5C- 5D
Review Pg 83Ex 5D –5E
Review Pg 174 Ex 11DStarters 11.1,11.5
11E
Review Pg 169 – 174 Ex 11AReviewPg 171-173 Ex 11C 11C
Pg175-177 Ex11E
Pg 222-223 Ex 14F
Pg 142 Ex 9J
Pg 227-230 Ex 14H
Starters 14.1, 14.3, 14.6, 14.9
Review Pg 220-222 Ex14A-14D
and Pg 222-225 Ex 14E, 14F
Pg 151-15 Ex 9I - 9J
Pg 232-237 Ex 14K-14L
Starters 12.6B 12.1,12.3,
12.7
Pg 185-195 Ex 12C-G
Review Pg 254,
Pg 258-259 Ex 15C
Pg 264-267 Ex 15E
(omit Q2, Q5)

Summer term: second half
Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods …
 Consolidate and extend mental methods of calculation,
 Recall of angle facts for angles in a straight line round a  Recall known fact including fraction decimals and percentage conversions
working with integers, decimals, fractions and percentages,
point, in a triangle and in a quadrilateral
square and square roots.
Stick pupils Aims Sheet into their exercise book
Date & Hours Topic
Objectives: pupils will be taught to
2G FOUNDATION
2B INTERMEDIATE
2R HIGHER
2/6/03
5hrs
Number
 Use of calculator using function keys effectively sand efficiently for brackets,
percentages and memory functions
 Consolidate understand of the relationship between ratio and proportion
Starter 3.12
 Reduce a ratio to it simplest form, including ratio expressed in different units
 Divide a quantity into two or more parts in a given ratio
Worksheet
Worksheet
Pg 52-59 Ex3I – 3K
 Use unitary method to solve simple problems involving ratio and direct
Worksheet
Worksheet
proportion.
 Create a household budget using peviously
3hrs
Algebra
1hr
CAME Task 23
5hrs
Shape & Space
6hrs
1 hrs
Handling Data
 Construct linear functions arising from real life problems. Plot their
Pg 177-181 Ex11F
corresponding graphs. Discuss and interpret real life graphs
RATES OF CHANGE


 Use bearing to specify direction and location
Logo
 Review formula for finding a volume of a cuboids
 Calculate volumes and surface areas of cuboids and shapes made from
Review Ex 14H- Ex14I
cuboids
 Know rough imperials and metric conversion in daily use
Pg 143 Ex 9K
 Calculate using a calculator the range, mode, median and mean
 Recognise when it is appropriate to use the range, mode, median and the mean
Mode Pg 232 Ex 15A-15B
Median Pg 238-240 Ex 15C
 Find the modal class for grouped data
Mean Pg 241-242 Ex15D
 Calculate a mean given the mean of a smaller group of numbers
Range Pg 242-243 Ex 15E
 Construct on paper and using ICT simple line graphs for time series.
Pg 195 -199Ex 12F
 Interpret tables, graphs and diagrams for both discrete and continuous data and
draw inferences that relate tot the problem being discussed
Pg 243-245 Ex 15F –15G
 Compare two distributions using the range and one or more of mode median
and mean.
Statistical Investigation
 Discuss Maths in the Media (Citizenship skills)
 Complete a survey using ICT as appropriate, justify the choice of what is
presented orally and on paper, summarising the results of a statistical enquiry.
Assess and review
If time end of CAME Tasks 14 & 15 CIRCLE RELATIONS and CIRCLE FUNCTIONS
year tasks
Pupils complete check sheet for this half term
Review Ex 11F-11G
Pg 198-206 Ex12I-12J
Logo
Logo
Pg 198 –201 Ex 12G-12H
Pg264-267 Ex 15E
(finding surface area only,
using this exercise)
Starters 15.1, 15.4, 15.6
Mode Pg 238 Ex 15A-15B
Median Pg 243-244 Ex 15C
Mean Pg 245-246 Ex15D
Range Pg 246-247 Ex 15E
Pg 188-191 ex 12C
Pg 248-251 Ex 15F
starters 16.3, 16.5
Pg 269-281 Ex 16A-16D
Starter 13.5
Review any of Ch 13
Pg251-252 Ex 15G
Statistical Investigation
Statistical Investigation
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