Homework Guide 5
Series Editor: Peter Clarke Authors: Elizabeth Jurgensen, Jeanette Mumford, Sandra Roberts
Contents Unit 1 Week 1: Number – Number and place value Lesson 2: Get in order Lesson 4: Rounding numbers Week 2: Number – Addition and subtraction Lesson 2: Mental methods Lesson 4: Making problems Week 3: Geometry – Properties of shapes Lesson 2: About 3-D shapes Lesson 3: Points of view
Unit 2 Week 1: Number – Multiplication and division Lesson 3: Multiplying using multiples of 10 and adjusting Lesson 4: Multiplying and halving Week 2: Number – Fractions Lesson 1: Fraction problems Lesson 3: Tenths and hundredths Week 3: Geometry – Position and direction Lesson 1: Translating shapes on 2-D grids Lesson 2: Completing the picture
Unit 3 Week 1: Number – Addition and subtraction Lesson 2: The formal written method Lesson 4: Adding and checking Week 2: Number – Decimals Lesson 2: Rounding decimals Lesson 4: Make the sequence Week 3: Measurement (mass) Lesson 2: Grocery masses Lesson 3: 3-fruit salads
Unit 4 Week 1: Number – Multiplication and division Lesson 2: Multiplying ThHTO × O Lesson 3: Multiples and factors Week 2: Number – Multiplication and division Lesson 2: Division involving multiples of 10, 100, 1000 Lesson 3: Division ThHTO ÷ O using mental methods Week 3: Measurement (time) Lesson 1: Flight times Lesson 3: Find your day of birth
Unit 5 Week 1: Number – Number and place value Lesson 1: 6-digit order Lesson 3: Negative counting Week 2: Number – Addition and subtraction Lesson 1: Mental subtraction chains Lesson 3: Using the formal written method Week 3: Geometry – Properties of shape Lesson 1: Clockwise angles Lesson 4: Angles round a point
Unit 6 Week 1: Number – Multiplication and division Lesson 1: Division HTO ÷ O with a remainder Lesson 3: Division HTO ÷ O with a decimal remainder Week 2: Number – Fractions Lesson 1: Thousandths, hundredths and tenths Lesson 4: Adding and subtracting fractions Week 3: Measurement (length) Lesson 1: Length data Lesson 2: At home with inches
Unit 7 Week 1: Number – Decimals Lesson 2: Ordering decimals Lesson 4: Footsteps Week 2: Number – Addition and subtraction Lesson 2: Adding and subtracting decimals Lesson 4: Building walls Week 3: Statistics Lesson 3: Making connections Lesson 4: Two lengths of the pool
Unit 8 Week 1: Number – Multiplication and division Lesson 1: Multiplication TO × TO using partitioning Lesson 3: Multiplication TO × TO using the expanded written method Week 2: Number – Percentages Lesson 2: What’s the per cent? Lesson 4: Cake percentages Week 3: Measurement (perimeter and area) Lesson 2: Picture framing Lesson 3: Missing a length
Unit 9 Week 1: Number – Number and place value Lesson 1: Ordering challenge Lesson 4: Writing Roman numerals Week 2: Number – Addition and subtraction Lesson 1: Adding and subtracting decimals Lesson 3: Written addition and subtraction Week 3: Geometry – Properties of shape Lesson 2: Intersecting diagonals Lesson 4: Angles in a regular hexagon
Unit 10 Week 1: Number – Multiplication and division, including Measurement (money) Lesson 1: Multiplication ThHTO × O, division ThHTO ÷ O, using the most efficient method Lesson 2: Multiplying and dividing by 10, 100, 1000 including decimals Week 2: Number – Fractions Lesson 1: Changing fractions Lesson 3: Pizza problems Week 3: Measurement (volume and capacity) Lesson 2: Litres and pints Lesson 3: Investigating cuboids
Unit 11 Week 1: Number – Addition and subtraction, including Measurement (money) Lesson 1: Missing decimals Lesson 3: Meet your target Week 2: Number – Percentages (including fractions and decimals) Lesson 2: Food percentages Lesson 4: Plan your weather Week 3: Geometry – Position and direction Lesson 2: On reflection Lesson 3: Coordinates of reflections
Unit 12 Week 1: Number – Multiplication and division, including Measurement (money) Lesson 1: Multiplication HTO × TO using partitioning Lesson 2: Multiplication HTO × TO using partitioning and the grid method Week 2: Number – Multiplication and division, including Measurement (money) Lesson 3: Division ThHTO ÷ O rounding remainders Lesson 4: Solving money problems Week 3: Statistics Lesson 1: Landing the catch Lesson 2: Which holiday?
Year 5, Unit 1, Week 1, Lesson 2 Homework
Name:
Date:
Get in order Order and compare numbers to 100 000 and determine the value of each digit
You will need: • paper clip and pencil – for the spinner
Write the digits 1, 2, 3, 4, 3, 2 on the spinner. Write the digits 3, 4, 5, 6, 4, 6 on the spinner. Write the digits 6, 7, 8, 9, 7, 8 on the spinner. • Spin the spinner five times, each time noting down the number it lands on until you have made a 5-digit number. • Write this number in the first column of the table below. • Make eight 5-digit numbers. • In the second column, put your numbers in order, smallest to largest. 5-digit numbers
Numbers in order
Read the numbers you have put in order to someone at home. After you read each number, say another number that lies after this number and before the next number. © HarperCollinsPublishers Ltd. 2014
Year 5, Unit 1, Week 1, Lesson 4 Homework
Name:
Date:
Rounding numbers Round numbers up to 100 000 to the nearest 100 • Write the eight numbers for your Challenge in the middle column of the table below. • In the left and right columns, write the multiples of 100 that the numbers are between. • Circle the multiple of 100 that each number rounds to. 3628 6117 2974 4062 8258 7524 5428 8499 36 873 19 996 39 287 62 082 73 501 49 388 51 911 64 903 89 765 99 899 87 898 99 999 104 576 45 376 176 294 203 405 Lower multiple of 100
Number
Higher multiple of 100
On the back of this sheet, write five numbers. Choose 4-, 5- or 6-digit numbers. Ask someone at home to round the numbers to the nearest 100. Then check the rounded numbers yourself to see if you agree. © HarperCollinsPublishers Ltd. 2014
Year 5, Unit 1, Week 2, Lesson 2 Homework
Name:
Date:
Mental methods Add and subtract numbers mentally Choose one number from each box to make five addition and five subtraction calculations to work out mentally. You can use the numbers more than once. Write the answers in the boxes below. 2848
3082 30
12 763
46 873
500
18 622 90
5000
56 723
2500
4285
700
25 682
700
49 265 340
5316
3050
Addition calculations
50
31 398 600
59 701 740
7254 60
8365
400
43 619 80
80
48 208
7000
68 389 4100
9751
56 871
800
53 298
5030
65 983
860
Subtraction calculations
Read two of your calculations to someone at home and ask them to work them out mentally. They can use jottings! Š HarperCollinsPublishers Ltd. 2014
Year 5, Unit 1, Week 2, Lesson 4 Homework
Name:
Date:
Making problems Solve addition and subtraction multi-step problems, deciding which operations and methods to use and why a Sam’s score on his computer game is 4572. If he passes the next challenge, his score will increase by 3000. What will his new score be? b Sam has scored 5720 on his new computer game, his brother has scored 299 less. What is his brother’s score? a Megan had a score of 5472 on a computer game. She increased her score by 4000 points, then she made some mistakes and lost 800 points. What is her score now? b On the back of this sheet, write a two-step word problem using the calculations below. The answer to the first calculation is the first number in the second calculation. + 200 =
41 235 – 600 =
a Leroy has scored 67 834 on his latest game and his brother Samuel has scored 85 269. What is the difference in their scores? If they both increase their scores by 8600, what will their new scores be? Leroy
Samuel
b On the back of this sheet, write a two-step word problem using the calculations below. The answer to the first calculation is the first number in the second calculation. 75 199 – 12 999 =
– 6400 =
Read one of your problems to someone at home and ask them to work out the answer. © HarperCollinsPublishers Ltd. 2014
Year 5, Unit 1, Week 3, Lesson 2 Homework
Name:
Date:
About 3-D shapes Use properties to identify 3-D shapes A
B
E
C
D
F
G
H
Complete the table using the shapes above. Mark the property with a or a . Property
A
B
C
D
E
F
G
H
is a prism has no right-angled faces has 8 vertices has 3 edges at each vertex Find the five prisms in the table above and complete the table below for each prism. Property
A
Number of faces Number of edges of an end face Can you find a relationship between the number of edges of an end face of a prism and the total number of faces of a prism? Write what you notice on the back of this sheet. Take turns to ask and answer questions about the faces, edges and vertices of the shapes at the top of this sheet. Record three questions and their answers on the back of this sheet. Š HarperCollinsPublishers Ltd. 2014
Year 5, Unit 1, Week 3, Lesson 3 Homework
Name:
Date:
Points of view
You will need:
Visualise and draw 3-D shapes from the top, from the front and from the side The shapes below are made of cubes. Follow these instructions for each shape.
• coloured pencils • ruler • 1 cm square dot paper
• Use the code R (red), B (blue), G (green) and Y (yellow) to colour the 3-D shape. • Draw the shape on the square dot paper as you would see it from the top, the front and the side. You might need to use the sheet of 1 cm square dot paper to draw all the shapes. • Colour the three views. 3-D shape
top view
front view
side view
top G
B
R
fron
Y
side
t
B G
G R
B
Y
R
Y R
G B
Y
B
Discuss how different items around your home might appear when they are looked at from above, for example, TV set, toaster, table, saucepan, kettle. Make sketches of the top view of three items on the back of this sheet. © HarperCollinsPublishers Ltd. 2014
Year 5, Unit 2, Week 1, Lesson 3 Homework
Name:
Date:
Multiplying using multiples of 10 and ad justing Multiply numbers mentally drawing upon known facts a 23 × 10 =
b 47 × 10 =
c 62 × 10 =
d 31 × 10 =
e 55 × 10 =
f 76 × 10 =
Multiply each number by 19. Multiply by 20 first, then adjust to find the answer.
Example
23 × 19 = (23 × 20) – 23 = 460 – 23 = 437
a 14 × 19 =
b 25 × 19 =
c 46 × 19 =
d 37 × 19 =
Think of a way that multiplying by a multiple of 10 and adjusting might help to work out the answers to these calculations. Show your working. a 42 × 21
b 24 × 28
c 36 × 41
d 53 × 29
Explain to someone at home the quick way of multiplying using multiplying by a multiple of 10 and adjusting. Ask them to work out two of the calculations using your quick method on the back of this sheet. © HarperCollinsPublishers Ltd. 2014
Year 5, Unit 2, Week 1, Lesson 4 Homework
Name:
Date:
Multiplying and halving • Multiply and divide numbers mentally drawing upon known facts • Multiply and divide whole numbers by 10 and 100 Halve each number. a 280
b 360
c 170
d 460
1 Answer these calculations. Use the multiply by 10 then divide by 2 strategy. Show your working. a 14 × 5 =
b 46 × 5 =
c 84 × 5 =
2 Answer these calculations. Use the multiply by 100 then divide by 2 strategy. Show your working. a 24 × 50 =
b 62 × 50 =
c 43 × 50 =
Find the answer to these calculations using the most appropriate strategy. Show your working. a 38 × 5 =
b 48 × 25 =
c 27 × 50 =
Explain to someone at home the quick way of multiplying by 5, 50 and 25. Ask them to work out two of the calculations using your quick methods on the back of this sheet. © HarperCollinsPublishers Ltd. 2014
Year 5, Unit 2, Week 2, Lesson 1 Homework
Name:
Date:
Fraction problems Find fractions of numbers and quantities Work out these fraction problems. You may find drawing a diagram will help you. Anna gets £5 pocket money per 2 week. If she spends –5 of it on 1 sweets and –5 of it on toys then saves the rest, how much will she have saved after 4 weeks?
Tom has £200 to spend on a party he is organising. He 1 3 spends –4 on food, –8 on drinks 2 and — 10 on party decorations. How much money does he have left to spend on a present? A theme park makes £300 1 profit each day. If –3 of the profit comes from entry fees, 1 – 6 comes from selling food 2 and –5 comes from selling gifts, how much money is made from everything else each day?
Write a fraction problem about your family for someone at home to work out on the back of this sheet.
Hint To get started, decide what the whole amount is, before dividing it into fractions. © HarperCollinsPublishers Ltd. 2014