Homework Guide 4
Series Editor: Peter Clarke Authors: Elizabeth Jurgensen, Jeanette Mumford, Sandra Roberts
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Contents Unit 1 Week 1: Number – Number and place value Lesson 1: 1000s, 100s, 10s and 1s Lesson 3: Ordering 4-digit numbers Week 2: Number – Addition and subtraction Lesson 1: Mental addition practice Lesson 3: Creative problems Week 3: Geometry – Properties of shape Lesson 2: Reflecting 2-D shapes Lesson 3: Two lines of symmetry
Unit 2 Week 1: Number – Multiplication and division, incl. Number and place value Lesson 1: Using the key facts to find the 9 multiplication table Lesson 4: The 6 multiplication table Week 2: Number – Fractions Lesson 1: Fraction wheel Lesson 3: Fractions of amounts Week 3: Geometry – Position and direction Lesson 3: Plot the shapes Lesson 4: Translating shapes
Unit 3 Week 1: Number – Addition and subtraction Lesson 1: Mental jumping – addition Lesson 3: Written method for addition Week 2: Number – Decimals Lesson 2: Decimal ordering (1) Lesson 3: Decimal rounding Week 3: Measurement (mass) Lesson 3: Collecting shells Lesson 4: Packets, tins and jars
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Unit 4 Week 1: Number – Multiplication and division, incl. Number and place value Lesson 2: The 7 multiplication table Lesson 4: Solving problems: using multiples Week 2: Number – Multiplication and division Lesson 1: Multiplication using partitioning Lesson 2: Multiplication using partitioning and the grid method Week 3: Measurement (time) Lesson 1: Dates and times Lesson 4: Clydeside times
Unit 5 Week 1: Number – Number and place value Lesson 1: Ordering numbers Lesson 3: Round up or round down Week 2: Number – Addition and subtraction Lesson 1: Mental jumping – subtraction Lesson 3: Estimate, calculate, check – subtraction Week 3: Geometry – Properties of shape Lesson 1: Angles in the snow Lesson 3: Angles in order
Unit 6 Week 1: Number – Multiplication and division, incl. Number and place value Lesson 1: Multiples of 25, 100 and 1000 Lesson 4: Solving word problems Week 2: Number – Fractions Lesson 1: Fraction number lines Lesson 3: Fraction practice Week 3: Measurement (length) Lesson 1: Out and about distances Lesson 4: Measurement round-up
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Unit 7 Week 1: Number – Addition and subtraction Lesson 2: Jump to the target Lesson 4: Estimate, calculate and check – addition Week 2: Number – Addition and subtraction Lesson 3: Column subtraction Lesson 4: Writing 2-step problems Week 3: Statistics Lesson 1: Bus station time graphs Lesson 3: Football scores bar chart
Unit 8 Week 1: Number – Multiplication and division Lesson 1: Multiplication HTO x O using partitioning Lesson 3: Multiplication HTO x O using the expanded written method Week 2: Number – Decimals Lesson 2: Decimal ordering (2) Lesson 4: Dividing by 10 and 100 Week 3: Measurement (perimeter and area) Lesson 3: Areas of shapes Lesson 4: Area in action
Unit 9 Week 1: Number – number and place value Lesson 1: Keep the order Lesson 4: Roman numerals Week 2: Addition and subtraction, incl. Measurement (money) Lesson 2: Mental or written Lesson 3: Teeth investigation Week 3: Geometry – Properties of shape Lesson 1: Triangle search Lesson 4: Quadrilaterals
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Unit 10 Week 1: Number – Multiplication and division Lesson 2: HTO x O using the formal written method Lesson 4: Solving word problems Week 2: Number – Fractions Lesson 2: Add the fractions Lesson 4: Cake fractions Week 3: Measurement (volume and capacity) Lesson 3: Estimating contents of containers Lesson 4: Class outing litres
Unit 11 Week 1: Number – Addition and subtraction, incl. Measurement (money) Lesson 2: Written addition and subtraction Lesson 3: Coin investigation Week 2: Number – Decimals Lesson 2: Money and decimals Lesson 3: Decimal division Week 3: Geometry – Position and direction Lesson 2: Plot the multiples Lesson 4: Change the shape
Unit 12 Week 1: Number – Multiplication and division Lesson 2: Division: TO ÷ O using the formal written method Lesson 4: Division using the expanded written method Week 2: Number – Multiplication and division Lesson 1: Division: HTO ÷ O using the formal written method Lesson 3: Division using the most efficient method Week 3: Statistics Lesson 1: Spin the numbers Lesson 4: Terry’s time graph
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Name..
Date..
Year 4, Unit 1, Week 1, Lesson 1 Homework
1000s, 100s, 10s and 1s Recognise the place value of each digit in 4-digit numbers 1 For each number in the table write the place value of each digit.
Example 3628 = 3000 + 600 + 20 + 8 2 Write the number that comes after each number (1 more).
Example 3629 Question 1
Question 2
Question 1
Question 2
a 278 b 491 c 508 d 651
a 1276 b 2851 c 3863 d 4277 Question 1
Question 2
a 5439 b 6376 c 7386 d 7408 Play ‘I am thinking of a number’ with someone at home. • Think of a 3- or 4-digit number and secretly write it down. • Tell the person the value of each digit but not in order. • Can they work out your number? © HarperCollinsPublishers Ltd. 2014
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Name..
Date..
Ordering 4-digit numbers Order and compare numbers beyond 1000
Year 4, Unit 1, Week 1, Lesson 3 Homework
You will need: • paper clip and pencil – for the spinner
Write the digits 1, 2, 3, 0, 3, 2 on the spinner, then follow the instructions below. Write the digits 3, 4, 5, 3, 4, 6 on the spinner, then follow the instructions below. Write the digits 5, 6, 7, 8, 6, 7 on the spinner, then follow the instructions below.
How to use the spinner Hold the paper clip in the centre of the spinner using the pencil and gently flick the paper clip with your finger to make it spin.
Numbers
In order
What to do: • Spin the spinner four times. • Use the digits to make a 4-digit number. • Record your 4-digit number in the first column of the table. • Make eight 4-digit numbers in total. • In the second column, put your numbers in order, smallest to largest. Read the numbers you have put in order to someone at home. Ask them to listen and check they are in order, smallest to largest. © HarperCollinsPublishers Ltd. 2014
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Name..
Date..
Year 4, Unit 1, Week 2, Lesson 1 Homework
Mental addition practice Use mental methods for addition For each question, make up five calculations similar to the examples. Then work out the answer to each of your calculations using a mental method. 1 3-digit number add 1s.
Example 245 + 8
2 3-digit number add 100s.
Example 157 + 200
For each question, make up five calculations similar to the examples. Then work out the answer to each of your calculations using a mental method. 1 2-digit number add 2-digit number.
Example 85 + 88
2 3-digit number add 10s.
Example 348 + 80
Make up ten calculations similar to the example. Then work out the answer to each of your calculations using a mental method. Each calculation must show a multiple Example 360 + 284 of 10 add 3-digit number. 1
2
3
4
5
6
7
8
9
10
Choose some of your calculations. Show someone at home how you worked them out. Check your working together. Š HarperCollinsPublishers Ltd. 2014
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Name..
Date..
Year 4, Unit 1, Week 2, Lesson 3 Homework
Creative problems Write and solve 1-step word problems in contexts 1 Make up five 1-step word problems to go with the calculations. Be imaginative! 2 Then work out the answers to your problems. a 53 + 74 b 156 − 50 c 182 + 200 d 160 − 82 e 138 + 70
a ___________________________________________ ________________________________ ________________________________ b ___________________________________________ ________________________________
a 86 − 32
________________________________
b 287 + 40
c ___________________________________________
c 304 + 400 d 260 + 148 e 340 − 136
________________________________ ________________________________ d ___________________________________________
a 593 + 70 b 557 + 400 c 440 + 285
________________________________ ________________________________
d 680 − 345
e ___________________________________________
e 870 − 423
________________________________ ________________________________
Read two of your word problems to someone at home. Ask them to work out the answers. © HarperCollinsPublishers Ltd. 2014
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Name..
Year 4, Unit 1, Week 3, Lesson 2 Homework
Date..
Re f lecting 2-D shapes
You will need: • coloured pencils • ruler
Reflect 2-D shapes along a line of symmetry
Draw the reflection of each half shape then colour the matching half. a b
Draw the reflection of each half shape. a
b
c
d
e
Reflect the half design. Colour the design to show its symmetry.
Here are two ideas for you to choose from. On the back of this sheet, draw the logos and mark the lines of symmetry with dotted red lines. 1 Go online. Find six or more car logos that are symmetrical. 2 If you don’t have access to the Internet, look at cars parked outside your home or find car logos in the motoring section of a newspaper.
© HarperCollinsPublishers Ltd. 2014
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Name..
Year 4, Unit 12, Week 1, Lesson 4 Homework
Date..
Division using the expanded written method Use the expanded written method to calculate HTO ÷ O These calculations are incomplete. Write the missing digits. a 36 ÷ 9 =
b
e 48 ÷
f 7÷1=
=6
÷3=9 c
÷ 8 = 9 j 56 ÷
i
÷ 8 = 8 d 42 ÷ =6
g 36 ÷ =7
Example
=9
4 176
6
7
198
154
297
256
384
231
495
332
432
378
846
Example 176 ÷ 4
160 9
176
Choose four different numbers from Challenge 2. Divide the number by the 1-digit number in the box above it. Use the expanded written method and write your calculations on the back of this sheet. Then check your answers using the inverse multiplication calculations.
= 12
h 60 ÷
÷ 8 = 4 l 108 ÷
k
Find a multiple of the number in each top box that is the closest to (but not larger than) each of the numbers below. 4
=6
4 4 4
1 7 6
1 6 0 40 × 4 1 6 1 6 4×4 0
Choose two calculations from Challenge 2. Ask an adult to show you how they would work out the answer to the calculations. Explain how you work them out using the expanded written method. Discuss your methods.
© HarperCollinsPublishers Ltd. 2014
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Name..
Year 4, Unit 12, Week 2, Lesson 1 Homework
Date..
Division: HTO ÷ O using the formal written method Use the formal written method to calculate HTO ÷ O Write the multiples of 100 that each number comes between. Circle the multiple of 100 each number is closest to. The first one has been done for you.
300
325
831
400
778
550
634
987
Work out the answer to each division calculation using the formal written method. Estimate the answer to each calculation first. 1 464 ÷ 4 Estimate: 4 3 975 ÷ 5 Estimate: 5 5 387 ÷ 9 Estimate: 9
H
T
O
4
6
4
H
T
O
9
7
5
H
T
O
3
8
7
2 768 ÷ 6 Estimate: 6 4 784 ÷ 7 Estimate: 7 6 684 ÷ 9 Estimate: 9
H
T
O
7
6
8
H
T
O
7
8
4
H
T
O
6
8
4
Choose three calculations from Challenge 2 and on the back of this sheet write a word problem for each. Choose two of your calculations from Challenge 2. Explain to an adult how you can use the inverse operation of multiplication to check if your answer is correct. Write your calculations on the back of this sheet. © HarperCollinsPublishers Ltd. 2014
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Name..
Year 4, Unit 12, Week 2, Lesson 3 Homework
Date..
Division using the most e fficient method You will need:
Use the most efficient method to calculate HTO รท O Look at each side of these statements. Use the symbols <, = or > to make each statement true. a 54 รท 9
36 รท 6
b 8รท1
80 รท 10
c 42 รท 7
d 72 รท 8
54 รท 6
e 56 รท 8
28 รท 4
f 480 รท 4
โ ข blue and red pencils
54 รท 6 9 ร 10
1 Sort these calculations into two groups: colour those that you can calculate mentally in blue and those you need to calculate using a written method in red. 387 รท 9 488 รท 4 884 รท 2 669 รท 3 395 รท 5 474 รท 6
545 รท 5
147 รท 7
477 รท 9
999 รท 3
693 รท 3
2 Choose four calculations from each colour. Write the calculation and the answer for each. Show your working for the calculations which require a written method. My Mental Calculations
My Written Calculations
Check your answers to Challenges 2,3 using the inverse operation. Choose the method of multiplication that you find the easiest. Give your calculations from Challenges 2,3 to an adult to solve. Ask them to explain how they worked out the answers. Check to see if their answer is correct. Show them your answer and explain your method. ยฉ HarperCollinsPublishers Ltd. 2014
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Name..
Year 4, Unit 12, Week 3, Lesson 1 Homework
Date..
Spin the numbers
You will need:
Interpret and present discrete data using scaled bar charts 1 a Roll the dice twice and find the difference between the two numbers, e.g. 6 – 2 = 4.
Difference
• 1–6 dice
Tally
Frequency
0
b Record the result in the tally chart.
1
c Do this 15 times.
3
d Complete the frequency column.
4
2
5
2 Use the data in the frequency column to draw the bar chart. Difference between 2 dice scores 1 Do Questions 1 and 2 of Challenge 1 but roll the dice 30 times.
a There are six possible differences between two dice scores where the answer is 0. b There is only one possible difference between two dice scores where the answer is 5. Explain your reasoning on the back of this sheet.
Number of spins
Investigate these statements:
16
12
8
4
0 0
1
2
3
Difference
4
5
Look at the information in the bar chart. Explain to an adult which difference is the most frequent and which is the least frequent. Can you think of a reason why this should happen? Explain your reasoning on the back of this sheet. © HarperCollinsPublishers Ltd. 2014
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Name..
Year 4, Unit 12, Week 3, Lesson 4 Homework
Date..
Terry’s time graph
You will need: • ruler
Solve problems using data presented in simple time graphs How many miles is it from:
miles 2 Shopping Centre to Gran’s house?
Gran’s house
Distance (miles)
1 Home to Shopping Centre?
Terry’s Saturday afternoon
30
20 Petrol Station Shopping centre
10
miles 5: 00
4: 30
4: 00
3: 30
3: 00
2: 30
2: 00
miles
0 1: 30
Home
1: 00
3 Gran’s house to home?
Time
1 How much longer did Terry and her Mum spend visiting Gran than at the Shopping Centre? minutes. 2 How far is it from the Petrol Station to Gran’s house?
miles.
3 If Terry’s Mum had not stopped for petrol, when would they have arrived at Gran’s house? p.m. Make up your own time graph like Terry’s which shows how you spent part of a morning or an afternoon last weekend. Take turns to ask and answer questions that involve making calculations about the data in Terry’s time graph. Record three questions and their answers on the back of this sheet. © HarperCollinsPublishers Ltd. 2014
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