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Level 4 Pupil Progress Assessments
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Level 4
Pupil Progress
Assessment
Algebra, Calculations, Handling Data, Number and Shape, Space and Measure.
Algebra
Level 4
L4ALG1 © B.P.Sharp 2006, 2009
SEQUENCES
Name:
Assessment Criteria: Begin to use formulae expressed in words
1. Look at these two sequences. (i) 4, 7, 10, 13, … (ii) 5, 8, 11, 14, …
a) What is the same about them?
b) What is different about them? 2. Look again at the sequence 4, 7, 10, 13, …
To find the number in position ‘n’, multiply ‘n’ by three, and then add one. a) What number would be in position 10?
__________ b) What number would be in position 100?
__________
3. A necklace manufacturer uses white, grey and black beads in various designs. Each necklace uses 60 beads. How many of each colour is needed for the necklaces which have repeating patterns of the following?
a)
White: ________
Grey: ________
Black: ________
b) White: ________
Grey: ________
Black: ________
L4ALG1 © B.P.Sharp 2006, 2009
4. Here are two different ways you can change 4 into 9, using any
combinations of add, subtract, multiply and divide. 4 × 4 – 7 = 9 (4 + 14) ÷ 2 = 9
Write another example of your own:
5. The same thing is happening to both the starting numbers, to get the finishing numbers. Write down in words what you have to do to the starting numbers to get the finishing numbers. (HINT: there are two steps)
2 7
4 13
Overall, I think my success level is: Low High
Q SEQUENCES ☺ I can use a worded formula to work out values I can describe sequences of numbers I can express simple functions in words I can search for a solution by trying out ideas of my own I can use my own strategies within mathematics and in applying mathematics
to practical contexts
I need to practise …
L4ALG2 © B.P.Sharp 2006, 2009
COORDINATES
Name:
Assessment Criteria: Use and interpret coordinates in the first quadrant
1. a) Write down the coordinates of each of the points A to E in the diagram.
b) Where would you place point F so that triangle DEF is a translation of triangle BAC? (i.e. triangle DEF would be the same size and orientation as triangle BAC)
(_____, _____)
2. a) On the axes below, plot and join these coordinates:
• A (2, 4)
• B (5, 2)
• C (6, 4)
• D (1, 2)
b) What name is given to this quadrilateral?
__________________________
• A (___,___)
• B (___,___)
• C (___,___)
• D (___,___)
• E (___,___)
1 2 3 4 5 6 0
6
5
4
3
2
1
A
B
C
D
E
F
y
x
1 2 3 4 5 6 0
6
5
4
3
2
1
y
x
L4ALG2 © B.P.Sharp 2006, 2009
3. a) On the axes below, plot these coordinates:
• A (1, 1)
• B (3, 1)
• C (5, 5)
• D (1, 3)
b) If you connect these points in order, what shape do you have? Give your
reasons for saying what shape it is.
Overall, I think my success level is: Low High
Q COORDINATES ☺ I can read coordinates in the first quadrant I can plot coordinates in the first quadrant I can interpret coordinates in the first quadrant I can present information and results in a clear and organised way I need to practise …
1 2 3 4 5 6 0
6
5
4
3
2
1
y
x
Calculation
Level 4
L4CALC1 © B.P.Sharp 2006, 2009
MENTAL CALCULATION
Name:
Assessment Criteria: Use a range of mental methods of computation with all operations
No calculators allowed!
1. a) Mark the numbers 297 and 602 on this number line:
b) Show how you could use this to help calculate 602 – 297
_________
2. Write down an explanation of how you would calculate 72 – 38 in your head.
3. Work out the value of 160 ÷ 4. Explain how you found the answer.
4. The temperature in Fort William one morning is 3°C. This is 7°C warmer than it was the previous morning. What was the temperature on the previous morning?
______°C
300 600
L4CALC1 © B.P.Sharp 2006, 2009
5. Complete the following statements by finding the value of the missing
number:
a) 20 + ______ = 100 × 4
b) 120 – ______ = 85 c) 8 × 7 = 2 × ______
Overall, I think my success level is: Low High
Q MENTAL CALCULATION ☺ I can calculate mentally a difference such as 8006 - 2993 I can use knowledge of tables and place value in calculations with multiples
of 10 such as 180 ÷ 3
I can carry out simple calculations involving negative numbers in context I understand ‘balancing sums’ including those using division I can develop my own strategies for solving problems I can present information and results in a clear and organised way I need to practise …
L4CALC2 © B.P.Sharp 2006, 2009
MULTIPLICATION FACTS
Name:
Assessment Criteria: Recall multiplication facts up to 10 × 10 and quickly derive corresponding division facts
No calculators allowed!
1. Work out the following calculations:
a) 6 × 2 = _____ b) 6 × 4 = _____
c) 2 × 2 = _____
d) 2 × 4 = _____
e) 3 × 2 = _____
f) 3 × 4 = _____
g) 8 × 2 = _____
h) 8 × 4 = _____
i) 5 × 2 = _____
j) 5 × 4 = _____
2. What is the connection between the results for the 4× table and the results for the 2× table?
3. Using your results of the 4 × table, write the first 5 numbers in the 8 ×
table.
_____, _____, _____, _____, _____
4. How can you use 10 × 7 to help you find the 9th multiple of 7?
5. 8 × 4 = 32. Use this to help you write down the answers to the following: a) 32 ÷ 4 = _____
b) 32 ÷ 8 = _____
6. Write down five multiplication and division facts that use the number 72
Overall, I think my success level is: Low High
L4CALC2 © B.P.Sharp 2006, 2009
Q MULTIPLICATION FACTS ☺ I know my 2, 5 and 10 times tables I know my 3, 4 and 9 times tables I know my 6, 7 and 8 times tables I can derive multiplication facts to 10 × 10, using facts that I already know I can derive division facts from known multiplication facts I can develop my own strategies for solving problems I need to practise …
L4CALC3 © B.P.Sharp 2009
WRITTEN METHODS
Name:
Assessment Criteria: Use efficient written methods of addition and subtraction and of short multiplication and division
No calculators allowed!
1) Calculate the following:
a. 1202 + 45 + 367
__________ b. 671.2 - 60.7
__________
c. 543.65 + 45.845 + 653.7
__________
2) Calculate the following:
a. 624 × 8
__________ b. 516 ÷ 4
__________
3) There are errors in the following calculations. For each one, find the error that has been made, and also find the correct answer
Calculation Error Correct solution
1 2 . 3 + 9 . 8 2 1 . 1 1
4 . 0 7 - 1 . 5 3 . 5 7
L4CALC3 © B.P.Sharp 2009
Calculation Error Correct solution
3 5 8 + 2 6 4 1 1 1 4
5 7 × 3 1 5 2 1
1 3 . 15 6 6
Overall, I think my success level is: Low High
Q WRITTEN METHODS ☺ I can find sums and differences of numbers to two decimal places I can find totals of more than two numbers I can use the grid method and/or partitioning for short multiplication; for
example 57 × 3
I can carry out short division; for example, 66 ÷ 5 I can present information and results in a clear and organised way I need to practise …
L4CALC4 © B.P.Sharp 2009
MULTIPLYING DECIMALS
Name:
Assessment Criteria: Multiply a simple decimal by a single digit
No calculators allowed!
1) Show how you would calculate 3.4 × 7
2) a. Show how you would calculate 2.9 × 8 b. How could you check your answer is about right?
3) 0.3 × 9 = 2.7. How could you use this to help you calculate 5.3 × 9?
4) How would you calculate 0.5 × 6?
5) a. Show how you would calculate 6.4 × 9
b. How would you use this answer to work out 6.4 × 0.9?
6) What would be your estimate of 0.9 × 7.3? Explain why.
L4CALC4 © B.P.Sharp 2009
7) Explain why 9.3 × 9 = 83.7
Overall, I think my success level is: Low High
Q MULTIPLYING DECIMALS ☺ I can multiply a decimal by a whole number less than 10 I can check that my answer makes sense I can use partitioning to help multiply a whole number by a decimal I can present information and results in a clear and organised way I need to practise …
L4CALC5 © B.P.Sharp 2009
SOLVING PROBLEMS
Name:
Assessment Criteria: Solve problems with or without a calculator
1. The multi-storey car park in Hereford has 8 levels and 40 cars can park on
each level. How many cars can park there?
____________
2. In a Year 7 class of 32 pupils, ¾ of them have pets. Of these, 11 have a dog. How many of the pupils have other kinds of pet?
____________
3. This recipe is for 4 people for Yorkshire pudding requires the following:
100g flour, pinch of salt, 1 beaten egg, 300ml milk, 25g lard or butter
What quantities would be needed for 12 people?
_______ flour
_______ salt
_______ beaten egg
_______ milk
_______ lard or butter
4. In the sale I bought these clothes at ½ price:
Jeans £14, T-Shirt £6.50, Socks £2.75, Boxers £3.95
How much was the original price of each item?
Jeans: £__________
T-Shirt: £__________
Socks: £__________
Boxers: £__________
L4CALC5 © B.P.Sharp 2009
5. A train leaves Hereford Station at 12.58 and arrives at Cardiff Central at
14.10. Emma thinks that the journey has taken 1.52 hours. Is she right? Explain your answer.
6. A full jug holds 2 litres of lemonade. A full glass holds ¼ litre. How many
glasses will the jug fill? Show how you worked out your answer.
Overall, I think my success level is: Low High
Q SOLVING PROBLEMS ☺ I can interpret word problems I can choose when it is appropriate to use a calculator I can solve word problems I can use my own strategies in applying mathematics to practical contexts I need to practise …
L4CALC6 © B.P.Sharp 2009
CHECKING RESULTS
Name:
Assessment Criteria: Check the reasonableness of results with reference to the context or size of numbers
No calculators allowed!
1. These estimations are not very accurate. Show how you would improve them.
(a) 78 × 16 ≈ 1400
__________
(b) 11 × 19 ≈ 100
__________
(c) 94 × 106 ≈ 11 000
__________
(d) 55 ÷ 6 ≈ 5.5
__________
2. Bob, Thelma, Terry and June shared £7965 equally from a gift given by their
Aunt Sally. Roughly how much would they have received each?
£__________
3. A primary school has 470 pupils and 21 teachers. Mrs Hume is organising a theatre trip for the school and asks her class to work out how many 53-seater coaches she needs to book. Jack says that she needs 449 coaches. What do you think to Jack’s answer?
L4CALC6 © B.P.Sharp 2009
4. Circle the best answer for each of the following calculations. Write down
the reason for your decision in the box provided.
19 × 21
209
399
1921
598 × 11
1236
6578
15780
7896 ÷ 94
7802
8
84
5. Look at the calculation here:
9499 × 97 If you were estimating the answer, what would you round 9499 to? Explain why.
Overall, I think my success level is: Low High
Q CHECKING RESULTS ☺ I can check results are reasonable by using the size of the numbers involved I can check results are reasonable by using the context of the problem I can develop my own strategies for solving problems I can use my own strategies within mathematics I need to practise …
Handling Data
Level 4
L4HD1 © B.P.Sharp 2009
COLLECTING AND RECORDING DATA
Name:
Assessment Criteria: Collect and record discrete data
1. Below is a list of shoe sizes from a group of adults. Construct a frequency
table to organise the data.
8 4 5½ 6 9 9 5½ 8½ 6 9 12 3 3½ 11 9 10 10½ 6 5 4 5½ 6 9 6 7 7 8 4 4½ 3 11 4½ 3½ 7½ 9 6 7 6 9 5
2. A pupil decided to find out about the months in which her classmates were born. She collected the information like this.
Organise her information in a table:
July April May December August November January May October August May April March September June July June October December May February October February March May April October September
L4HD1 © B.P.Sharp 2009
Could she have collected her information in a better way? Explain your answer.
Overall, I think my success level is: Low High
Q COLLECTING AND RECORDING DATA ☺ I know the meaning of discrete data I can collect discrete data I can record discrete data I can construct a frequency table I can present information and results in a clear and organised way I need to practise …
L4HD2 © B.P.Sharp 2009
GROUPING DATA
Name:
Assessment Criteria: Group data, where appropriate, in equal class intervals
1. The weights of 20 boys (in kg) are recorded as follows:
16.2 35.5 41.7 18.9 42.1
19.7 20.9 24.8 48.0 37.1
25.5 27.9 26.6 31.0 21.2
19.9 20.1 34.1 38.7 35.0
a) Complete the following frequency table:
Weight (w) in kg Tally Frequency
15 ≤ w < 20
20 ≤ w < 25
25 ≤ w < 30
30 ≤ w < 35
35 ≤ w < 40
40 ≤ w < 45 Total
b) What is the width of each class interval?
____________
c) Another boy comes to the class and is weighed at exactly 40.0 kg. In which group should his weight be placed?
__________________
2. The ages (in years) of the 48 people living in a small hamlet are recorded
below:
1 5 36 31 88 45 44 10 12 15 48 40 77 82 61 61 3 23 47 20 21 75 80 67 5 7 30 31 40 60 92 77 55 47 18 63 65 58 59 42 2 3 6 24 26 48 62 60
a) What would a sensible class width be for grouping this information?
____________ b) The data is repeated on the next page. Create your own frequency
table for the data.
L4HD2 © B.P.Sharp 2009
1 5 36 31 88 45 44 10 12 15 48 40 77 82 61 61 3 23 47 20 21 75 80 67 5 7 30 31 40 60 92 77 55 47 18 63 65 58 59 42 2 3 6 24 26 48 62 60
Overall, I think my success level is: Low High
Q GROUPING DATA ☺ I can use a tally chart to place data into groups and find the frequency I can identify the width of the class interval I can choose a suitable class interval to create a frequency table I can present information and results in a clear and organised way I need to practise …
L4HD3 © B.P.Sharp 2009
VENN & CARROLL DIAGRAMS
Name:
Assessment Criteria: Continue to use Venn and Carroll diagrams to record their sorting and classifying of information
1. a) Place the following numbers into the Carroll diagram:
b) What do you notice about all the numbers that are placed in the top left
cell? Explain why this happens.
2. a) Complete this Carroll diagram, using the following numbers:
b) Why do two cells stay blank?
8 5 19
35 20 27
93 100 18
6 24 29
A multiple of 2
Not a multiple of 2
A multiple of 3
Not a multiple of 3
25 27 1
49 47 36
37 67 64
16 9 11
Square number
Not a square number
Odd number of factors
Even number of factors
L4HD3 © B.P.Sharp 2009
3. a) Place these numbers correctly onto this Venn diagram
4 8 12 16 20 24 28 32 36 40
Multiples of 4 Multiples of 8
b) What do you notice?
4. Correct the mistakes in this Venn diagram.
12 33
Factors of 100 Factors of 64
Overall, I think my success level is: Low High
Q VENN & CARROLL DIAGRAMS ☺ I can use a Venn diagram to record sorting and classifying of information I can use a Carroll diagram to record sorting and classifying of information I can recognise and describe number relationships including multiple, factor
and square
I can present information and results in a clear and organised way I need to practise …
1 6 4 16 32 8 64
2 5 10 20 50 100 25
Number
Level 4
L4NNS1 © Glosmaths 2009
NUMBER PATTERNS
Name:
Assessment Criteria: Recognise and describe number patterns
1. Look at the 1 to 100 grid here. A pattern of
numbers has been shown by shading some numbers in yellow. Describe how you would find the next number in the pattern if the grid were extended for two more rows.
2. Show me an example of a number greater than 300 that is (i) divisible by 3
________ (ii) divisible by 4
________ (iii) divisible by 6
________ (iv) divisible by 9
________
3. Is the following statement always true, sometimes true, or never true? Explain your answer.
‘A number that is divisible by 4 is also divisible by 8’
L4NNS1 © Glosmaths 2009
4. Write down the first 5 numbers in the 2 times table, and the first 5 numbers
in the 0.2 times table. What is the same and what is different about the two sequences?
________, ________, ________, ________, ________
________, ________, ________, ________, ________
Overall, I think my success level is: Low High
Q NUMBER PATTERNS ☺ I can recognise number patterns I can describe number patterns I know simple tests for divisibility I can use my own strategies within mathematics I can search for a solution by trying out ideas of my own I need to practise …
L4NNS2 © Glosmaths 2009
NUMBER RELATIONSHIPS
Name:
Assessment Criteria: Recognise and describe number relationships including multiple, factor and square
1. a) Find all the numbers less than 50 that have exactly three factors.
b) What is special about these numbers?
2. What number up to 50 has the most factors? Explain how you know.
3. Is the following statement always true, sometimes true or never true?
‘The sum of four even numbers is a multiple of 4’
Explain how you know
L4NNS2 © Glosmaths 2009
4. Write down a square number greater than 100.
______
5. Why are square numbers called square numbers?
Overall, I think my success level is: Low High
Q NUMBER RELATIONSHIPS ☺ I can find and use multiples of numbers I can find and use factors of numbers I know the square numbers up to 100 I can find square numbers greater than 100 I can develop my own strategies for solving problems I can search for a solution by trying out ideas of my own I need to practise …
L4NNS3 © Glosmaths 2009
PLACE VALUE
Name:
Assessment Criteria: Use place value to multiply and divide whole numbers by 10 or 100
No calculators allowed!
1. 37 × 10 = 370. What is 37 × 100?
__________ 2. Calculate the following:
(a) 98 × 100 = ____________
(b) 203 × 10 = ____________
(c) 6700 ÷ 10 = ____________
(d) 35000 ÷ 10 = ____________
3. Fill in the missing numbers in these calculations:
(a) 4 × 10 = _______
(b) 4 × _______ = 400
(c) _______ ÷ 10 = 40
(d) _______ × 1000 = 40 000
(e) _______ × 10 = 400
4. Complete the spider diagram here
Overall, I think my success level is: Low High
50600
÷ 10 ÷ 100
× 100 × 10
L4NNS3 © Glosmaths 2009
Q PLACE VALUE ☺ I can multiply whole numbers by 10 I can multiply whole numbers by 100 I can divide whole numbers by 10 I can divide whole numbers by 100 I need to practise …
L4NNS4 © Glosmaths 2009
FRACTIONS AND PERCENTAGES
Name:
Assessment Criteria: Recognise approximate proportions of a whole and use simple fractions and percentages to describe these
No calculators allowed!
1. Look at the 1-100 grid here.
What percentage of the numbers are even?
Explain how you know.
2. The hour hand on a clock moves from the 12 to the 3. What fraction of a turn has it moved?
________
3. Give me an example of two numbers on a clock face that are
a) ½ a turn apart
________ and ________
b) ¾ of a turn apart ________ and ________
4. a) What percentage of this 10 by 10 grid is shaded red?
________
b) What percentage is white?
________
5. ½ is equivalent to 50%. Write down three other fraction / percentage pairs that are equivalent to each other: _______% and _______, _______% and _______, _______% and _______
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
Overall, I think my success level is: Low High
L4NNS4 © Glosmaths 2009
Q FRACTIONS AND PERCENTAGES ☺ I can use fractions to describe simple proportions I can use percentages to describe simple proportions I can find some fraction / percentage equivalences I can develop my own strategies for solving problems I need to practise …
L4NNS5 © B.P.Sharp 2009
ORDERING DECIMALS
Name:
Assessment Criteria: Order decimals to three decimals places
1. Place these numbers in order of size, starting with the greatest:
0.305, 0.035, 0.503, 0.53, 0.053
2. Put these quantities into order, from smallest to largest:
a) 60 cm, 0.6 cm, 66 cm, 0.666 cm b) 0.600 kg, 0.606 kg, 0.66 kg, 0.066 kg
c) 70p, £0.07, £7, £0.77
3. Find numbers that can be placed between: 0.55 and 0.6
________ 5.55 and 5.6
________ 0.55 and 0.56
________ 0.055 and 0.666
________
4. Circle the largest number in each of these sets.
8.3, 8.38, 8.333, 8.083
0.078, 0.087, 0.081, 0.107
100.400, 100.04, 100.44
99.95, 99.595, 99.597, 99.951
L4NNS5 © B.P.Sharp 2009
5. These are the results of the men’s 100 metres sprint in the 2004 Olympic
Final. Place the men in the order they finished. Kim Collins 10.00 seconds Shawn Crawford 9.89 seconds Justin Gatlin 9.85 seconds Obadele Thompson 10.10 seconds Asafa Powell 9.94 seconds Maurice Greene 9.87 seconds Aziz Zakari did not finish Francis Obikwelu 9.86 seconds
Overall, I think my success level is: Low High
Q ORDERING DECIMALS ☺ I can order decimals with one decimal place I can order decimals with up to two decimal places I can order decimals with up to three decimal places I can present information and results in a clear and organised way I need to practise …
L4NNS6 © Glosmaths 2009
RATIO
Name:
Assessment Criteria: Begin to understand simple ratio
1. What is the ratio of yellow squares to blue
squares in the collection on the right?
___________
2. What is the ratio of hexagons to triangles in the collection of shapes on the left?
___________
3. Look at the collection of shapes on the right. a) Describe a ratio that can be made using them
b) Describe a different ratio that can be made using them
4. Look at the pattern below:
What is the ratio of circles to triangles to squares?
________________
What is the ratio of squares to circles to triangles?
________________
What is the ratio of pink shapes to not-pink shapes?
________________
Overall, I think my success level is: Low High
L4NNS6 © Glosmaths 2009
Q RATIO ☺ I can identify a ratio that describes a simple situation I can correctly use a ratio that describes a simple situation I can present information and results in a clear and organised way I need to practise …
Shape
Level 4
L4SSM1 © B.P.Sharp 2009
PROPERTIES OF SHAPE
Name:
Assessment Criteria: Use the properties of 2-D and 3-D shapes
1. a) What is different between a parallelogram and a rhombus? b) What is the same between a parallelogram and a rhombus?
2. Look at the shapes below. Tick any of the diagrams which are not squares. Explain why each one you tick is not.
3. Are the following statements always true, sometimes true or never true?
Explain your answer.
• A square is a rectangle
• A rectangle is a square 4. Tick the 3D shapes that have an edge that is at right-angles to another
Tetrahedron Cuboid Cylinder
Square-based pyramid Triangular prism
L4SSM1 © B.P.Sharp 2009
5. Place the quadrilaterals in the correct place in this Carroll Diagram.
6. Place the 3D shapes in the correct place in this Carroll Diagram.
Rhombus
Trapezium
Square
Kite
Parallelogram
Less than two
lines of symmetry
Two or more lines of
symmetry
Can have exactly two right angles
Cannot have exactly two right angles
Tetrahedron
Cuboid
Cylinder
Pyramid
Prism
Cube
Cannot have eight vertices
Can have eight vertices
Can have exactly two square faces
Cannot have exactly two square faces
Overall, I think my success level is: Low High
Q PROPERTIES OF SHAPE ☺ I can identify and describe 2D shapes using their properties; for example,
angle types, side lengths, parallel sides, lines of symmetry
I can identify and describe 3D shapes using their properties; for example, edges, faces, vertices
I can develop my own strategies for solving problems I can present information and results in a clear and organised way I need to practise …
L4SSM2 © B.P.Sharp 2009
1 2 3 4 5 6 0
6
5
4
3
2
1
y
x
1 2 3 4 5 6 0
6
5
4
3
2
1
y
x
MODELS AND SHAPES
Name:
Assessment Criteria: Make 3-D models by linking given faces or edges and draw common 2-D shapes in different orientations on grids
1. Add two lines to this diagram to
make an isosceles triangle. Explain how you know it is isosceles.
2. On the grid below, add three more lines to make a rectangle. Explain how you know it is a rectangle.
3. Here is a net of a 3D shape
a) What is the shape?
b) Mark on the diagram the two vertices that will meet with vertex A.
A
L4SSM2 © B.P.Sharp 2009
4. Here is a net of an open cube. Which edges will not meet with any others?
Mark them with a cross. 5. On the grid below, draw a net of a square-based pyramid.
Overall, I think my success level is: Low High
Q MODELS AND SHAPES ☺ I can make 3D models by linking given faces I can make 3D models by linking given edges I can draw common 2D shapes on a grid I can draw common 2D shapes at an angle on a grid I can present information and results in a clear and organised way I can search for a solution by trying out ideas of my own I need to practise …
L4SSM3 © B.P.Sharp 2009
TRANSFORMATIONS
Name:
Assessment Criteria: Reflect simple shapes in a mirror line, translate shapes horizontally or vertically and begin to rotate a simple shape or object about its centre or a vertex
1. On the diagram below, translate the triangle ABC 3 spaces right. Write the
coordinates of the vertices of the new shape here.
A1 __________, B1 __________, C1 __________
2. On the same diagram rotate triangle ABC by 180° using the point B as a centre of rotation. Write the coordinates of the vertices of the new shape here.
A2 __________, B2 __________, C2 __________
3. What quadrilateral have you made if you combine the translation and the rotation?
_______________________
4. On same diagram, reflect the shape in the line y = 3. Write the coordinates of the new shape here.
A3 __________, B3 __________, C3 __________
1 2 3 4 5 60
6
5
4
3
2
1
y
x
BA
c
L4SSM3 © B.P.Sharp 2009
5. Jesse has been asked to reflect triangle ABC in the line y = x. His answer is shown in blue on the grid below. Comment on Jesse’s solution.
Overall, I think my success level is: Low High
Q TRANSFORMATIONS ☺ I can reflect simple shapes in a horizontal or vertical mirror line I can reflect simple shapes that touch a diagonal mirror line I can translate shapes horizontally or vertically I can rotate a simple shape or object about its centre I can rotate a simple shape or object about a vertex I can present information and results in a clear and organised way I need to practise …
1 2 3 4 5 60
6
5
4
3
2
1
y
x
BA
c
L4SSM4 © Glosmaths 2009
MEASURING I
Name:
Assessment Criteria: Choose and use appropriate units and instruments
1. Complete the statements (i) to (v). Choose units from the list below. You
can use these units more than once if you want to.
mm, cm , m , km, mg, g, kg, ml, l
(i) 1 ______ = 1000 ______ (ii) 1 ______ = 1000 ______ (iii) 1 ______ = 1000 ______ (iv) 1 ______ = 100 ______ (v) 1 ______ = 10 ______
2. Look at the diagram below. Measure and write down: a) The length AB
____________ b) The length BC
____________ c) The length AC
____________ d) The angle BCD
____________ e) The angle DAB
____________
B
C
D
A
L4SSM4 © Glosmaths 2009
3. For each of the following units of measurement, state an object which it
could be used to describe. The first is done for you.
a) Millimetres: ___________________________________________________
b) Metres: the height of a house
c) Centimetres: ___________________________________________________
d) Metres: ___________________________________________________
e) Kilometres: ___________________________________________________
f) Milligrams: ___________________________________________________
g) Grams: ___________________________________________________
h) Kilograms: ___________________________________________________
i) Millilitres: ___________________________________________________
j) Litres: ___________________________________________________
Overall, I think my success level is: Low High
Q MEASURING I ☺ I can choose appropriate units I can choose appropriate instruments I can use appropriate units I can use appropriate instruments I can present information and results in a clear and organised way I need to practise …
L4SSM5 © Glosmaths 2009
MEASURING II
Name:
Assessment Criteria: Interpret, with appropriate accuracy, numbers on a range of measuring instruments
1. Look at the scales here. The red inner scale shows kilograms and the black outer scale shows pounds. What is the weight in kilograms?
_________kg What weight is roughly equivalent to 200 pounds?
_________kg
2. Look at the thermometer here.
What is the temperature in degrees Fahrenheit?
_______ºF What temperature is roughly equivalent to 40ºC?
_______ºF
3. The diagram shows a set square
placed next to a ruler. Both these items have a centimetre scale labelled on them. What is the width of the set square?
_______cm
4. This protractor has a scale from 0º to
180º. Explain how you could use the protractor to draw an angle of 215º.
L4SSM5 © Glosmaths 2009
5. Look at the 30-second stopwatch below. The large hand make two complete turns in one minute.
a) Ignore the small dial. What are the two possible values for the number of seconds displayed by the large hand?
_________ seconds and _________ seconds
b) The small dial counts the number of minutes. It also tells you that the number of seconds is the larger of your two answers in part (a). Explain why.
c) Now, using the large hand and the small dial, what time could be displayed by the stopwatch?
_____________________________
Overall, I think my success level is: Low High
Q MEASURING II ☺ I can read the scale accurately on a range of measuring instruments I can use my accurate readings to solve problems about measures I can use my own strategies in applying mathematics to practical contexts I need to practise …
L4SSM6 © Glosmaths 2009
AREA AND PERIMETER
Name:
Assessment Criteria: Find perimeters of simple shapes and find areas by counting squares
1. a) Estimate the area of each of these shapes
A) _________ squares
B) _________ squares
C) _________ squares
b) Explain how you found the area of these shapes.
C
A
B
L4SSM6 © Glosmaths 2009
2. a) Find the perimeter of each of these shapes
L) _________ squares
M) _________ squares
N) _________ squares
b) In which of the shapes is the value of the area the same as the value of the perimeter?
Overall, for this homework I think my success level is: Low High
Q AREA AND PERIMETER ☺ I know the difference between area and perimeter I can find the perimeter of a simple shape I can find the area of a shape by counting squares I can estimate an area when the shape includes parts of squares I can use my own strategies within mathematics I need to practise …
N
L
M
4 cm
5 cm
3 cm
6 cm 6 cm 4 cm
5 cm
5 cm