Download Integers, pow ers and roots, Sequences

Year 8 Number/Algebra 1
Integers, Powers, Roots, Sequences.
3 weeks
Integers, powers and roots, Sequences
1
I can recognise negative numbers in context
I can understand negative numbers as positions on a number line
I can order, add and subtract negative numbers in context
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 recognise and describe multiples, factors, primes and square numbers
I can generate sequences from patterns or practical contexts and describe the general term
in simple case
I can use multiples, factors, common factors, highest common factors and lower common
factors
I can add, subtract, multiply and divide positive and negative integers
I can use integer powers and associated real roots and recognise powers of 2, 3, 4, 5
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
I can use the prime factor decomposition of a number
I can use index notation for integer powers and use the index laws for multiplication and
division of integer powers
I can interpret and compare numbers in standards form with both positive and negative
indices
2
3
4
5
6
7
8 9
Example questions:
From Band 1 and 2 Which is the lowest temperature from -2°C, 5°C, -4°C
From Band 3 What is the rise in temperature from -3°C to 4°C?
From Band 3 Write in order from largest to smallest: 7, -3, 4, -1, 9
From Band 3 The sequence 2, 5, 8, 11, …… is made by adding 3 to the previous term. What are the next 2 terms?
From Band 3 From the numbers 38, 64, 56, 46 and 72 find the multiples of 8
From Band 3 Which of these are prime numbers? 31, 33, 34, 35, 37, 39
From Band 5 Calculate -3 x -6
From Band 6 What is the nth term of the sequence 3, 7, 11, 15, ……?
From Band 7 Write 48 as a product of prime factors
From Band 5 What is the value of 34?
From Band 7 What is 27 x 25 as a power of 2?
From Band 7 Write 450 in standard form
From Band 7 Put in ascending order: 2 x 102, 3 x 105, 2.5 x 103, 6 x 102
Resources
\\Tcc-nas-01\resources\Staff\Maths\Resources\Odd one Out
sequences, sequences 2, squares, squares and cubes
HCF LCM, multiplying an dividing by powers of ten, negative numbers,
\\Tcc-nas-01\resources\Staff\Maths\Resources\Junior Mathematical Team Games
Square, Tower of Hex
\\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries
\\Tcc-nas-01\resources\Staff\Maths\Resources\Software for Teignmouth
Crack the Code, Family Tree, Hexagon Puzzle, Magic
MM1, MM4, MM5, MM7, MM9
Countdown
\\Tcc-nas-01\resources\Staff\Maths\10Ticks\Worksheets\Calculated Colourings
\\Tcc-nas-01\resources\Staff\Maths\Mysteries Mysteries on Negative Numbers and Sequences
Mymaths lessons login – teignmouth, password - grams
Number – Counting and place Value – Multiples, Primes, Negative Numbers,
Number – Powers and Roots – HCF, LCM, Squares
Number – Standard From
Algebra – Sequences
Maths box – login – tcs5, Password – edge50
Number – Negative Numbers
Number – Powers, roots, factors, mulitples
Number – standard form
Algebra - Sequences
Other websites
http://www.bbc.co.uk/schools/mathsfile/shockwave/games/gridgame.html
http://www.bbc.co.uk/schools/mathsfile/shockwave/games/laddergame.html
Geometry 1
Angles
2 weeks
1
I can distinguish between and estimate the size of acute, obtuse and reflex angles
I can compare and classify geometric shapes based on their properties and sizes
I can measure and draw acute and obtuse angles
I can measure and draw reflex angles to the nearest degree
I can find unknown angles in any triangles, quadrilaterals and regular polygons
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 understand and use alternate and corresponding angles on a parallel line
I can use the basic conguence criteria for triangles (SSS, SAS, ASA, RHS)
Example questions:
From band 1 State what type of angle is shown and estimate its size
From band 2 Describe (a) the diagonals of a kite, (b) the angles of a rhombus
From band 4 In the triangle EFG, angle EGF = 93° and angle EFG = 19°. What is angle FEG?
From band 4 Find the size of an interior angle of a regular decagon
Resources
Maths pack 1
R:\Staff\Maths\Resources\Software for Teignmouth\Maths Pack 1
2
3
4
5
6
7
8
9
\\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries
MM12
\\Tcc-nas-01\resources\Staff\Maths\Resources\shapes for paper folding
\\Tcc-nas-01\resources\Staff\Maths\Mysteries Mystery on Triangles and Quadrilaterals
Mymaths lessons login – teignmouth, password – grams
Shape – 2D and 3D Shapes
Shape – Angles
Maths box – login – tcs5, Password – edge50
Shape - angles
Statistics 1
Probability
2 weeks
1
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
I can enumerate sets and combinations of sets systematically, using tree diagrams
I can calculate the probability of independent combined events, including using tree
diagrams and other representations
BOWLAND TASK
Spinner Bingo http://www.bowland.org.uk/assessment/spinner_bingo.html
or Hilbre Island http://www.bowland.org.uk/assessment/hilbre_island.html
2
3
4
5
6
7
8
9
Example questions:
From Band 1 Describe the probability of you coming to school tomorrow
From Band 3 Mark on a probability scale the probabilities of it raining on your school (a) in January (b) on 15th July
From Band 3 What is the probability of getting a 5 when rolling 5b a fair dice?
From Band 5 List the possible outcome if I toss a coin and roll a dice.
From Band 5 If the probability of a win is 6/11 and the probability of a draw is 3/11, what is the probability of losing?
From Band 8 If you take a card from a standard pack and you roll a dice, what is the probability of getting two fours?
From Band 8 The probability that I am late for work is 2/9. Draw a tree diagram to show the probabilities of my being late or not late on two successive days.
Use your diagram to find the probability that I will be late on exactly one of the two days.
Resources
KS3 Mysteries on Probability
\\Tcc-nas-01\resources\Staff\Maths\Mysteries
\\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM16
Possible marking task - \\Tcc-nas-01\resources\Staff\Maths\Resources Probability Task Sheet
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
Number 2
Fractions, Decimals and Percentages
2 to 3 weeks
Fractions, decimals, percentages
1
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 proportions of a whole number using percentages
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 Draw a rectangle and shade one quarter of it
From Band 1 How many quarters are equivalent to one half?
From Band 1 (a) 3.54 + 7.58 (b) 7.32 – 4.51
From Band 3 Write 5 out of 8 as a fraction
2
3
4
5
6
7
8
9
From Band 3 Simplify 24/36
From Band 3 What decimal is equivalent to 75%?
Write 20% as a fraction
From Band 4 Find 2/3 of £24 and Calculate (a) 20% of £30 (b) 25% of 12m
From Band 4 (a) 2/3 + 1/4 (b) 7/10 – 2/5
From Band 5 Decrease £600 by 15%
From Band 5 Write 5/8 as a decimal
From Band 7 If prices are increased by 10% and then decreased by 10%, what is the overall percentage change?
From Band 7 3/4 x 2/9 and 2/5 ÷ 4/9
Resources
\\Tcc-nas-01\resources\Staff\Maths\Mysteries Fractions
\\Tcc-nas-01\resources\Staff\Maths\Resources\Junior Mathematical Team Games
Fractions Game D.
\\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries
Fractions Game A, Fractions Game B, Fractions Game C,
MM3
\\Tcc-nas-01\resources\Staff\Maths\Resources\Odd one Out Fractions and Decimals 1, Fractions and Decimals 2, Fractions multiplying and
dividing, Percentages
Mymaths lessons login – teignmouth, password - grams
Number – Decimals – Recurring Decimals
Number – Fractions
Number – Percentages
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
Algebra 2
Equations and Formulae
2 weeks
1
2
3
4
5
6
7
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 simplify and manipulate algebraic expressions by expanding products of two or more
binomials
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 Use the formula cooking time = weight of chicken x 20mins + 15mins to work out how long to cook a chicken for
From Band 4 Write in as many ways as possible equivalent expressions of a) 4x b) 2x+3y
c) xy
From Band 4 If p=3, what are the values of (a) p+7 (b) 5p
From Band 6 Remove the brackets from 3(8 – 4x)
From Band 6 Factorise 2x+4
From Band 6 Solve 2d – 7 = 11
8
9
From Band 7 Remove brackets and simplify (2g + 3)(g – 5)
From Band 8 Make x the subject of this formulae y=3x+2
From Band 8 Solve 4y + 3 = 2y – 11
Resources
\\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM10
\\Tcc-nas-01\resources\Staff\Maths\Resources\Odd one Out
Substitution
Brackets, Brackets 2, Equations, Equations 2, Equivalent Expressions 1 2 and 3,
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 – Substitution
Other websites
http://www.bbc.co.uk/schools/mathsfile/shockwave/games/postie.html
http://www.bbc.co.uk/schools/mathsfile/shockwave/games/equationmatch.html
Geometry 2
Measures and Mensuration
1 to 2 weeks
1
2
3
4
I can recognise, describe and build simple 3D shapes, including making nets
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 interpret maps and scale drawings and use bearings
I can interpret plans and elevations of 3D shapes
I can use compound units such as speed, unit pricing and density to solve problems
BOWLAND TASK
Either Bunting http://www.bowland.org.uk/assessment/bunting.html
Or Royal Liver Clock http://www.bowland.org.uk/assessment/royal_liver_clock.html
Example questions:
From Band 2 If the net shown……….. was folded to make a cube, mark the 2 other points that will meet the corner marked.
From Band 2 Change 5.2 minutes into minutes and seconds
From Band 2 What is 2m in centimetres?
From Band 3 A normal paperback book weighs about 2g, 20g, 200g or 2kg
o
From Band 5 If I face north-east and then turn 60 anti-clockwise what bearing am I facing now?
From Band 7 How long would it take to travel 15km at 40km/h?
Resources
\\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM13
5
6
7
8
9
\\Tcc-nas-01\resources\Staff\Maths\Mathematical Team Games\Tasks\2014-01-28 Garden Design
Mymaths lessons login – teignmouth, password - grams
Shape – Angels – Bearings
Shape – converting units
Shape – Measures
Maths box – login – tcs5, Password – edge50
Shape – measures
Shape – Shape names and language
Algebra 3
Functions and Graphs
2 weeks
1
I can use and interpret coordinates in the first quadrant
I can express simple functions in words
I can use and interpret coordinates in all four quadrants
I can express simple functions in words and symbols and represent them in mappings
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
BOWLAND TASK
Mobile Phones http://www.bowland.org.uk/assessment/mobile_phones.html
or Speedy Santa http://www.bowland.org.uk/assessment/speedy_santa.html
Example questions:
From Band 1 On a coordinate grid, plot the point (3,5)
From Band 3 Plot the point E with coordinates (-2, -3)
From Band 6 Find 3 pairs of coordinates for which x + y = 7 and draw the graph of this equation
From Band 7 Draw the graphs y = 3x – 4 and 2x – 5y = 10 and hence solve these simultaneous equations
2
3
4
5
6
7
8
9
From Band 7 Without drawing it, describe the graph of y = -2x + 3
2
From Band 8 Plot the graph of y = 2x
Resources
\\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM8
MM9
\\Tcc-nas-01\resources\Staff\Maths\Resources\Odd one Out Straight lines 1 and 2
Mymaths lessons login – teignmouth, password - grams
Algebra – Co-ordinates
Algebra - Graphs
Maths box – login – tcs5, Password – edge50
Algebra - Graphs
Other websites
http://www.bbc.co.uk/schools/mathsfile/shockwave/games/planethop.html
Number 3
Place Value
1 week
1
I can read, write and order whole numbers
I can round whole numbers to the nearest 10, 100 and 1000
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 integers and decimals by 10, 100 and 1000 and explain the effect
I can order 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 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
Example questions:
From Band 1 What is the value of the 7 in 271?
From Band 1 Round 567 to the nearest ten
From Band 3 Round 2.456 to 1 decimal place
From Band 3 Calculate (a) 2.54 x 100 (b) 8.7 ÷ 10
From Band 4 Write in descending order: 2.3, 2.26, 2.303, 2.244, 2.33
From Band 5 Calculate (a) 2.3 x 0.1 (b) 5 ÷ 0.01
From Band 7 Round 8.3629 to (a) 1 s.f. (b) 3 s.f.
From Band 7 Estimate 0.37 ÷ 6.25
Mymaths lessons login – teignmouth, password - grams
Number – Counting and Place Value
Number – Decimals – Place value decimals and ordering decimals
2
3
4
5
6
7
8
9
Number – Estimating and Accuracy
Maths box – login – tcs5, Password – edge50
Number – Estimation
Number – Place Value
Other websites
http://www.bbc.co.uk/schools/mathsfile/shockwave/games/roundoff.html
Geometry 3
Transformations
1 to 2 weeks
1
I can transform 2D shapes by reflecting in given mirror lines, rotating about a given point and
translating (using words like, 3 left, 5 up)
I can enlarge a shape by a given scale factor
I can use vectors for translation
I can enlarge shapes using a centre of enlargement and integer positive scale factors
I can enlarge shapes using negative or fractional scale factors
Mymaths lessons login – teignmouth, password - grams
Shape - Transformations
Maths box – login – tcs5, Password – edge50
Shape - Transformations
Other websites
http://www.bbc.co.uk/schools/mathsfile/shockwave/games/bathroom.html
2
3
4
5
6
7
8
9
Algebra 4
Equations and Formulae
2 weeks
1
2
3
4
5
6
7
I can begin to use simple formulae expressed in words
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 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
I can solve various types of equations with non-integer or negative solutions
I can solve simple simultaneous equations
Example questions:
From Band 3 Use the formula cooking time = weight of chicken x 20mins + 15mins to work out how long to cook a chicken for
From Band 4 If p=3, what are the values of (a) p+7 (b) 5p
From Band 6 Solve 2d – 7 = 11
From Band 8 Make x the subject of this formulae y=3x+2
From Band 8 Solve 4y + 3 = 2y – 11
From Band 8 Solve 5x + 10 = 4
From Band 9 Solve these 2 simultaneous equations 3x + 4y = 29
5x + 2y = 25
Resources
\\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM10
8
9
\\Tcc-nas-01\resources\Staff\Maths\Resources\Odd one Out
Equations, Equations 2, Substitution
Mymaths lessons login – teignmouth, password - grams
Algebra – Equations Linear
Algebra – Expressions and Formulae
Maths box – login – tcs5, Password – edge50
Algebra – Equations Linear
Algebra – Substitution
Other websites
http://www.bbc.co.uk/schools/mathsfile/shockwave/games/postie.html
http://www.bbc.co.uk/schools/mathsfile/shockwave/games/equationmatch.html
Statistics 2
Handling Data
3 weeks (included in this time is a data handling project)
1
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 interprey the mean of a set of discrete data
I can interpret and construct graphs and diagrams to represent ungrouped discrete data
including bar graphs, pie charts and frequency tables
I can compare distributions of ungrouped discrete data using mean, mode, median and
range
I can interpret, analyse and compare the distributions of ungrouped and grouped discrete
and continuous data through appropriate graphical representations
I can compare distributions of ungrouped and grouped discrete or continuous data using
mean, mode, median and range
I can describe simple mathematical relationships between two variable and illustrate using
scatter graphs
I can interpret and construct tables charts and diagrams including tables and line graphs for
time series data
I can draw estimated lines of best fit when using scatter graphs and make predictions
including interpolate and extrapolate apparent trends
2
3
4
5
6
7
8
9
Example questions:
From Band 1 Complete a tally chart and frequency table for this data:
BDCCADEBCABBCDDBABC
From Band 3 The diagram shows how many hours of television 4 pupils watched one
weekend. How many hours did Sam watch?
Noel _
_
Olly _ _ _ _ _
Pat _
Sam _ _ _
_ represents 2 hours
From Band 3 For the list 13, 14, 12, 15, 12, 14, 12, 11 find the mode median and range
From Band 4 What is the mean of 3, 4 and 11 ?
From Band 5 Fred and Wilma play a game. Fred’s scores are 5, 9, 1, 2, 9. Wilma’s scores
are 5, 6, 6, 7, 5. Compare their results.
From Band 7
Height (m) 1.6 1.4 1.7 1.6 1.5 1.7 1.5 1.8 1.6
Mass (kg) 70 65 80 66 57 70 63 78 68
Draw a scatter graph for the paired data in the table.
From Band 8 Draw a line of best fit on the scatter graph above and use it to estimate the mass of someone of height 1.75m and 1.9m. Which of these two
answers is likely to be most accurate?
Resources
\\Tcc-nas-01\resources\Staff\Maths\Mysteries 3 mysteries to use in KS3 mysteries
\\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 and MM15
Mymaths lessons
login – teignmouth, password - grams
Data – Collecting Data
Data – Processing Data
Data – Presenting Data
Maths box – login – tcs5, Password – edge50
Data – Averages
Data – Collecting Data
Data – Representing Data
Other websites
http://www.bbc.co.uk/schools/mathsfile/shockwave/games/train.html
http://www.bbc.co.uk/schools/mathsfile/shockwave/games/datapick.html
Ideas of Data Handling Project
This really could be anything that interests your class but –
Mayfield High data could be used
Crime in your Area
Reaction Times………………
Number 4
Calculation
2 weeks
1
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 recall number facts including complements to 100 and multiplication facts and their
associated division facts
I can interpret calculator displays within context
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 use the order of operations including brackets
I can use formal methods to multiply and divide 3-digit by 2-digit whole numbers
I understand and can use the order of operations including brackets, powers and roots
I can recognise and use reciprocals and understand a reciprocal as a multiplicative inverse
BOWLAND TASK
Either Taxi Cabs http://www.bowland.org.uk/assessment/taxi_cabs.html
Or Soft Drinks http://www.bowland.org.uk/assessment/soft_drinks.html
Example questions:
From Band 1 (a) 27 + 36 (b) 346 + 165
2
3
4
5
6
7
8
9
From Band 1 (a) 236 x 7 (b) 379 ÷ 4
From Band 3 Use a calculator to work out the change from £20 if I spend 90 pence
From Band 3 (a) 3.54 + 7.58 (b) 7.32 – 4.51
From Band 5 362 x 53
From Band 7 (a) 103 – 37 x 2 (b) (36 + 53) x 4
From Band 7 What is the reciprocal of 3?
Resources
\\Tcc-nas-01\resources\Staff\Maths\Mysteries Multiplication
\\Tcc-nas-01\resources\Staff\Maths\Resources\Junior Mathematical Team Games Crack the Code Family Tree Going Shopping Tower of
Hex
\\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM1 MM2
\\Tcc-nas-01\resources\Staff\Maths\Resources\Odd one Out Calculation
Mymaths lessons login – teignmouth, password – grams
Number – Add Subtract Written
Number – Decimals
Number – Money and Finance
Number – Multiply written
Algebra – Expressions and Formulae – order of operations
Maths box – login – tcs5, Password – edge50
Number – Addition Subtraction
Number – BIDMAS
Number – Decimals
Number – Money
Number – Multiplication and Division
Number – Using a Calculator
Number 5
Ratio and Logical arguments
2 weeks
1
2
3
4
5
6
7
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 4 Of a team of 10 people, 3 are male. What is the ratio of males to females in the team?
From Band 4 Divide 80cm in the ratio 3 : 7
From Band 5 A photo measuring 10cm by 14cm is enlarged so that the shorter sideis 12cm. What is the length of the enlarged longer side?
From Band 5 If a 250g packet of cereal costs £1.20 and a 350g packet costs £1.70, which packet gives better value for money?
From Band 7 If a leaking tap loses 10ml of water in 20 mins how much will it lose in 45mins
From Band 7 If 5 men dig a hole in 20 mins how long will it take 2 men to dig the same hole?
From Band 7 If I travel 35 miles in an hour. If I stay at the same speed how far will I travel in an hour and a half?
Resources
\\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries
MM6
\\Tcc-nas-01\resources\Staff\Maths\Resources\Odd one Out Ratio
\\Tcc-nas-01\resources\Staff\Maths\Mathematical Team Games\Tasks\2014-01-28 Great Grandma's Will
\\Tcc-nas-01\resources\Staff\Maths\Mathematical Team Games\Tasks\2014-01-29 Arriving at School
Mymaths lessons login – teignmouth, password - grams
Number – Ratio and Proportion
Maths box – login – tcs5, Password – edge50
Number – Ration and Proportion
8
9
Geometry 4
Construction and Loci and Mensuration
3 - 4 weeks
1
I can find perimeters of simple shapes and areas by counting squares and part squares
I can draw 2D shapes using given dimensions and angles
I can choose and use units of measurement to measure, estimate, calculate and solve
problems in everyday contexts
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 use correctly the vocabulary, notation and labelling conventions for lines, angles and
shapes
I can derive and use the formulae for the area of a triangle, parallelogram and trapezium
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
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 standard ruler and compass constructions to construct triangles
I can understand and apply Pythagoras' Theorem when solving problems involving rightangled triangles
I can solve problems involving lengths of circular arcs and areas of sectors
2
3
4
5
6
7
8
9
I can use trigonometric relationships in right-angled triangles to solve problems involving
right-angled triangles
BOWLAND TASK
Either Sports Bag http://www.bowland.org.uk/assessment/sports_bag.html
Or Fruit Pies http://www.bowland.org.uk/assessment/fruit_pies.html
Resources
\\Tcc-nas-01\resources\Staff\Maths\Mysteries Area, perimeter and metric units
\\Tcc-nas-01\resources\Staff\Maths\Mathematical Team Games\Tasks\2014-01-28 Garden Design
\\Tcc-nas-01\resources\Staff\Maths\Mathematical Team Games\Tasks\2014-01-28 Hidden Message\2014-01-28 Hidden Message
\\Tcc-nas-01\resources\Staff\Maths\Mathematical Team Games\Tasks\2014-01-29 Place to Place
\\Tcc-nas-01\resources\Staff\Maths\Mathematical Team Games\Tasks\2014-01-29 Travelling Salesmen
\\Tcc-nas-01\resources\Staff\Maths\Resources\Mini Murder Mysteries MM11
Mymaths lessons login – teignmouth, password - grams
Shape – Area and Perimeter
Shape- Construction
Shape – Pythagoras
Shape – Volume and Surface Area
Maths box – login – tcs5, Password – edge50
Shape – Area and Perimeter
Shape – Pythagoras
Shape – Volume (and Surface Area)