Not for sale or distribution
|
|
|
- Violet Wilcox
- 6 years ago
- Views:
Transcription
1 1. Number Sentences In this chapter you will learn about: Number puzzles Writing number sentences for word problems Writing word problems Solving number sentences using strip diagrams and balances 1.1 Number Puzzles In this section you will solve number puzzles. Exercise 1.1 Warm Up 1 Copy and complete in your notebook. a Add 10 and 3. The answer is?. b 12 take away 5 is?. c 3 plus 18 is?. d 15 minus 4 equals?. 4
2 Khalid is playing a game with Faisal. Khalid I have a secret number. Take away 3 from my secret number and you get 12. Yes! Is your number 15? 2 Use the numbers in the cloud. Answer each secret number puzzle. a Add 2 to my secret number and you get 8. Faisal b Subtract 5 from my secret number and you get 12. c Add 10 to my secret number and you get 23. d Take away 12 from my secret number and you get 12. e Add 9 to my secret number and you get
3 Main Exercise 3 Faisal says, Add 7 to my secret number and you get 35. Find Faisal s secret number. Hint Use a number line. 4 a Jasem sent invitations two weeks before his wedding. Jasem s wedding is on September 24. When did Jasem send the invitations? b How is this question like the secret number game? 5 Salma and Wafaa play the secret number game.?? a Solve Wafaa s secret number puzzle. b Solve Salma s secret number puzzle. Multiply my secret number by 3 and you get Word fact: Solve means find the secret number. Salma Divide my secret number by 2 and you get 21. Wafaa 6
4 TALK ABOUT IT TALK ABOUT IT 6 Khalid and Faisal play the secret number game again. Khalid a Solve Khalid s secret number puzzle. b Solve Faisal s secret number puzzle. 7 Play the secret number game with your partner. Take turns making a puzzle for your partner to solve. Choose a secret number between 1 and 20 each time. 8 Hamdan and Rashid are playing the game. Hamdan chooses a secret number. He does not say a sentence to Rashid. Instead, he writes this: + 20 = 84 a What do you think this means? Multiply my secret number by 2. Then subtract 4. You get 24. Divide my secret number by 3. Then add 4. You get 10. b How can Rashid find Hamdan s number? Faisal 7
5 9 Solve these number sentences. a + 3 = 12 c - 12 = 15 e 8 = 5 10 Solve these number sentences. a = 13 b - 5 = c 2 = 36 2 d 16-4 = 3? e 3 = Making decisions Copy and complete these number sentences. Choose your own numbers to fill the spaces, so that the answer for will be a whole number. a 2 =? b? = 12 c 20 - =? d -? =6 e 43 + =? f 2 =? b? 2 = 40 d 17 + = 27 f 15 -? = 4 Hint Try a number in the? space. If it doesn t work, try a different number. Think about why some numbers work and some don t. 8
6 12 Defining problems Write three of your own number sentences using a shape like or. Make sure the answer for or is a whole number. Hint Here are two ways to make a whole number: 1 Write a correct number sentence with whole numbers e.g = 2. Then replace one number with. For example, 2 4 = 2 2. Write a number sentence e.g. 2 = 7. Solve it: = 7 2. If the answer is not a whole number, change the numbers in the number sentence. Solve it again. Do this until the answer is a whole number. 9
7 13 Organizing information Ahmed starts to write this number sentence: = He wants to be a whole number. He uses Excel to help him find numbers he can use to finish the number sentence. a Open a spreadsheet on a computer. In cell A1, enter triangle number In cell A2, enter Triangle / In cells B1-F1, enter the numbers 1, 2, 3, 4, 5 In cell B2 enter B1/2+1 Use the fill tool to extend this formula to cells C2-F2. Drag across the row to F5 b Which numbers can Ahmed use to complete his number sentence? Write the two number sentences you have found with whole number answers. Hint The numbers in Row 2 give the numbers he can use to complete his sentence. Fill tool 10
8 1.2 Writing Number Sentences for Word Problems Exercise 1.2 Warm Up 1 Making decisions Copy and complete in your notebook. a If you? 8 you get 16. b 8 is? than 11. c 17 is? than 9. d The? between 18 and 21 is 3. e If you? 12 you get 6. Math facts: 10 is more than 3. 7 is less than 12. If you double 4 you get 8. If you halve 8 you get 4. The difference between 13 and 9 is 4. 2 Copy and complete in your notebook. Choose your own numbers. a? is less than?. b If you double? you get?. c? is more than?. d The difference between? and? i s?. e If you halve? you get?. 11
9 Main Exercise Example Faisal said, Add 7 to my secret number and you get 35. We can write this as a number sentence. Use for the secret number. + 7 = 35 3 Write number sentences for these number puzzles. Use for each secret number. a Add 3 to my secret number and you get 8. b Subtract 9 from my secret number and you get 12. c Add 10 to my secret number and you get 34. d Take away 12 from my secret number and you get 15. e Add 9 to my secret number and you get 28. To solve word problems, there are three things to remember: 1 Write a number sentence. Use a shape like,, for the secret number. 2 Write the answer as = (or = or = ) 3 Write the answer in words. Don t only write a number! E.g. The time was 10 minutes. 12
10 Example Ahmed has some sweets. He eats 14. Then he has 23 left. How many sweets did Ahmed have at the beginning? Answer Step 1 Write a number sentence = 23 Step 2 Solve the number sentence. = 37 Step 3 Write the answer in words. 4 Khalid has some counters. Hassan gives him 8 more counters. Khalid now has 20 counters. a Write a number sentence. Use for the number of counters Khalid started with. b Solve the number sentence. c Copy and complete this sentence. Khalid started with? counters. Ahmed had 37 sweets at the beginning. 13
11 5 Saif visits Ferrari World in Abu Dhabi. He spends 200 AED on tickets. He has 350 AED left. a Write a number sentence. Use for the amount of money Saif took with him. b Solve the number sentence. c Copy and complete this sentence. Saif took? AED with him. 14
12 HANDS ON ACtiVITY 6 You will need: multilink cubes Start with 20 multilink cubes on your desk. Ask your partner to turn away. Hide some cubes under your notebook. Ask your partner to look again and count the cubes left on the table. Help your partner to write and solve a number sentence to work out how many cubes are under your notebook. Check your partner s answer by counting the cubes under your notebook. Example 10 football shirts and 1 goalkeeper s shirt cost 1200 AED in total. The goalkeeper s shirt costs 200 AED. How much does a football shirt cost? Answer Step 1 Write a number sentence, using for the cost of a football shirt = 1200 Step 2 Solve the number sentence. 10 must be 1000, so = 100. Step 3 Give the answer in words. One football shirt costs 100 AED. 15
13 7 Mubarak has a tablet computer. He deletes 5 apps, then buys 8 more. Mubarak now has 14 apps. How many apps did he have at the beginning? a Write a number sentence. b Solve your number sentence. c Write your answer in words. 8 Wafaa s mother has some ribbon. She gives half of it to Wafaa. Wafaa buys 5 m more ribbon. Wafaa now has 9 m of ribbon altogether. How much ribbon did Wafaa s mother have at the start?' Hint Use for the amount of ribbon Wafaa s mother gave her. Half of this will be 2. a Write a number sentence. b Solve your number sentence. c Write your answer in words. 16
14 9 An airplane flies 163 m above the control tower at Abu Dhabi International Airport. The airplane is also 300 m above sea level. The airport is 27 m above sea level. a Copy and label the diagram. airplane control tower sea level m? 27 m 300 m b How tall is the control tower at Abu Dhabi International Airport? Write and solve a number sentence. Remember to give your final answer in words. Hint Start your number sentence with ?. 17
15 10 Umm Salem gives the same amount of money to each of her 4 children. She then gives 30 AED to her nephew. Altogether, she gave out 230 AED. How much did she give each of her 4 children? 11 Hamdan has some oranges. His brother eats half of them. Then Hamdan s mother gives him 3 more. Now Hamdan has 10 oranges. How many oranges did Hamdan have in the beginning? Write and solve a number sentence. Hint Half of the oranges can be written as Ibrahim plays on his computer for the same number of hours each school day. At the weekend he spends 4 hours on his computer altogether. Ibrahim plays on his computer for 19 hours each week. How long does Ibrahim spend on his computer on a school day? Write a number sentence and solve it. Give your answer in words. Hint How many school days are in one week? 18
16 13 When Salem goes to bed he can see some boats harbored in Dubai Creek. When Salem wakes up, he sees most of the boats have gone. Only one third are left. While he eats breakfast, he sees another 12 boats leave the creek. There are now only 2 boats left. How many boats were on the creek when Salem went to bed? Write and solve a number sentence. Give your answer in words. Hint Use for the number of boats when Salem goes to bed. When Salem wakes up there are 3 boats left. 19
17 HANDS ON ACtiVITY 1.3 Writing Word Problems In this section you will write word problems to match number sentences. Get Ready You will need: multilink cubes Exercise 1.3 Warm Up 1 Work with a partner. You will need 24 multilink cubes. Put them into groups of two: Count the groups. There are 12 groups of 2. We can write: 12 = 24 or 12 groups of 2 =
18 Repeat this for: a groups of 3 b groups of 4 c groups of 6 d groups of 8 e groups of 12 2 Use your answers from Q1 to find in these number sentences. Hint Write your answer as = a 12 = 24 b 8 = 24 c 4 = 24 d 6 = 24 e 3 = 24 f 2 = 24 Hint 8 = 24 21
19 3 Now start with 18 multilink cubes. Count them, then put them into blocks of 2. Copy and complete:? blocks of 2 = 18 Repeat this for: b groups of 3 c groups of 6 d groups of 9 Use your answers to solve: e 9 = 18 f 6 = 18 g 3 = 18 h 2 = 18 Hint Write your answers as = 22
20 4 Match each word problem to a number sentence. a Maryam has 20 books. She gives some to her son. She has 4 left. How many books did Maryam give to her son? b Eman has 20 books. She shares them equally among her children. Each child gets 4 books. How many children does Eman have? c Rashid has some books. His father gives him 4 more. Now Rashid has 20 books. How many books did Rashid have at the start? d Abdullah has some children. He gives each child 4 books. Altogether he gives out 20 books. How many children does Abdullah have? Example 20 - = = 20 4 = = 4 Use the number sentence 3 + = 5 to complete the word problem below. I have? sweets. My friend gives me some more. Answer I have 3 sweets. My friend gives me some more. I now have? sweets altogether. I now have 5 altogether. How many did my friend give me? How many did my friend give me? 23
21 5 Copy and complete the word problem so it matches the number sentence. 8 + = 17 Reem has? pencils. She buys some more. She now has? pencils altogether. How many pencils did Reem buy? 6 Copy and complete the word problems so they both match the number sentence = 14 a Salem has a box of? dates. He eats some of the dates. There are 14 dates left. How many dates did Salem eat? b One day on Earth is 24 hours. A day on Jupiter is shorter than this. The difference between the length of a day on Earth and on Jupiter is? hours. How long is a day on Jupiter? 24
22 7 Use this number sentence: 3 = 300 Copy this word problem into your notebook. Complete the question to match the number sentence. The top speed of a Jaguar F-type V8 is 300 km/h. This is three times the top speed of a bus in Abu Dhabi. What is?? 8 Here is a number sentence: + 15 = 27 a Copy and complete this word problem to match the number sentence. Mansour reads 15 books in August. He read? books altogether in July and August. How many books did Mansour read in July? b Copy and complete this word problem to match the same number sentence. Write your own question. Abdulla s brother is 15 years older than him. Abdulla s brother is? years old.?? Word fact: The top speed is the fastest speed something can go. Math fact: We can make many different word problems for the same number sentence by using different real-life situations. c This is the start of another word problem that matches the same number sentence. Copy and complete the word problem. Saif buys a pen. He also buys a magazine that costs 15 AED... 25
23 TALK ABOUT IT Example Write a word problem for this number sentence: 3 + = 5 Step 1 Understand the number sentence. We start with 3 of something. We add or get some more. Then there are 5 altogether. Step 2 Choose a real-life situation. E.g. A trip to the mall. Step 3 Write the word problem. I go to the mall. I spend 3 hours shopping. Then I go to a movie. Altogether I spend 5 hours at the mall. How long was the movie? Hint You could also use another situation such as cars, people, money, days. 9 Defining problems Work with your partner. Write word problems that match these number sentences: a + 5 = 12 b 17 = 20 - c 2? = 14 d 2 = 15 26
24 Example Write a word problem to match this number sentence: 2-1 = 17 Step 1 Understand the number sentence. We start with 2 groups of the same number. Then we take 1 away. There are 17 left. Step 2 Choose a real-life situation. E.g. Food Step 3 Write the word problem. I have 2 equal bags of cucumbers. I use 1 cucumber in my salad. I have 17 cucumbers left altogether. How many cucumbers were in each bag? 27
25 10 Defining problems Write a word problem to match the number sentence = 21 Hint You could use 5 bananas; 2 equal bags of apples, and 21 pieces of fruit altogether. 11 Defining problems Write word problems to match the number sentences: a 2-5 = 15 Hint For example Faisal has some pens. He gives half of them to his brother b 3-1 = 17 c = 9 d = 400 e? = 30 28
26 1.4 Using Strip Diagrams and Balances In this section you will learn about solving problems with strip diagrams, and using balancing. Exercise 1.4 Warm Up 1 How many balance one? Hint Cross out pieces that are the same on each side of the balance. 2 How many balance one? 29
27 3 How many balance one? 4 The top and bottom strips are the same length. How long is the green part? 10 cm 14 cm 5 A ribbon is 20 cm long. 20 cm? It is cut into 4 equal parts. How long is each small part? 30
28 Main Exercise Example Saif and Ali play a game. These are the rules: Player 1: Write a number sentence. Use a counter to cover a number. Player 2: Work out the covered number. Player 1: Saif begins. He writes a number sentence. He uses a counter to cover a number. 5 + = 16 Player 2: Ali draws a strip diagram. This helps him understand the number sentence At the top is 5 +. This is equal to 16. So the counter covers 11, because = Ali writes a number sentence for Saif to solve: 3 = 24. a Copy and complete Saif s strip diagram.? b Write down the covered number. Hint Remember the strip diagram means + + = 24. Word fact : A strip diagram is a way to show a number sentence. The two strips are the same length because the two sides of the number sentence are equal 31
29 HANDS ON ACtiVITY 7 Ali writes another number sentence: 5 = 45 a Draw a strip diagram to help Ali. b What is the covered number? 8 Saif and Ali draw these strip diagrams. Write the number sentences and work out the covered number for each strip diagram. a b c d Work with your partner. Play the same game as Saif and Ali. You will need a counter. Player 1: Write a number sentence. Use a counter to cover a number. Player 2: Draw a strip diagram. Work out the covered number. 32
30 THINK ABOUT IT 10 Ali writes a number sentence. Then he covers the operation with a blue counter. He covers the number with a red counter. 6 = 30 Draw two possible strip diagrams. For each strip diagram, find the covered number. Example Ali writes this number sentence for Saif to solve: = 26 Saif draws this strip diagram: 26 Next Saif thinks about cutting the strips. He draws another diagram, partitioning the 26 into Then he draws this diagram: Word fact: +, -, and are all operations. This shows on the left side of the number sentence. This shows 26 He thinks about cutting the strips into 5 equal sections. Saif says = 4 Check: = 26. Saif s answer is correct. 33
31 11 Here is a number sentence: = 38. a What number should be in this pink box? 10 b What number should be in this pink box? 10 c What is the number??? Copy and complete the strip diagrams for each number sentence. a = 25 Step 1 1 Step 2? 1 Step 3 =?? 1 34
32 b = 44 Step 1 9 Step 2 9 Step 3 =? c = 53 Step 1?? 9? Step 2? Step 3 =???? 35
33 13 Match each number sentence i-iii to a strip diagram a-c. i = 30 ii = 30 iii = 30 a b c Generating solutions Write and then solve three different number sentences for this strip diagram.?? 36
34 TALK ABOUT IT TALK ABOUT IT 15 Noura and Jameela look at this set of scales. The scales are balanced. 600 g Noura says, I think one box weighs 20 g. Jameela says, I think one box weighs 200 g. Who is correct? Explain. 16 Rashid looks at this set of scales. The scales are balanced. Rashid says, I can solve this the same way as I did with strip diagrams. I just need to take a cube off each side because the scales will still balance. Then I know that 4 cubes are the same as 2 cylinders.... a Discuss Rashid s strategy. Can you see how it works? Word fact: When scales are balanced, the weight on each side is equal. b If a cylinder weighs 60 g. How heavy is a cube? Explain how you worked it out. 37
35 17 For each diagram, work out the weight of one box. a Hint Use Rashid s strategy from Q16. b 2 kg 300 g 18 a How many spheres balance one cylinder? Word fact: Cylinders and spheres are 3D solids. cylinder sphere 38
36 b How many triangles balance one cube? 19 Work in groups. You will need: Coat hangers Clothes pegs plastic bags multilink cubes Use two coat hangers, some pegs and plastic bags to build a coat hanger balance, as shown in the picture. Ask your teacher where you may hang your balance. Math fact: Each coat hanger must balance. We can draw simple diagrams to show the balances, and solve problems. 39
37 Example In this balance = 2. Find the value of and. First look at the smaller balance on the right side. Take a off each side. We know each is 2. So must be 4. Put the numbers on the smaller balance = = 6 The total for the smaller balance on the right is =
38 Now look at the whole balance. We have + on the left. We have 12 on the smaller balance on the right. So + balances 12. So must be In this balance = 3. a Look at the smaller balance on the right side. What is? Hint You can take a and a off each side and it will still balance. b What is the total of the smaller balance on the right? c Now look at the whole balance and find the value of. 41
39 21 This balance works the same way. In this balance = 6. Find the value of and. Hint Remember to look at the smaller balance on the left side first. 22 = 4. a Find the value of and. b Explaining Explain how you solved the problem. Hint First look at the smaller balance on the left. 42
40 Summary Number sentences use a symbol like?,, or for a number we don t know. An example of a number sentence is: 3 + = 5 Solve means find the number we don t know. Number sentences can match word problems. For example: Khalid has some counters. Hassan gives him 15 more counters. Khalid now has 34 counters. How many counters did Khalid start with? is the number of counters Khalid started with = 34 To solve word problems, there are three things to remember: 1 Write a number sentence. Use a shape like,, for the number you don t know. 2 Write the answer as = (use your shape.) 3 Write the answer in words. Don t only write a number. Strip diagrams also match number sentences. For example: = 10 43
41 We can solve this strip diagram by cutting off 4 from each strip Then cut again: So = 2. This is an example of a balancing problem: The objects on each side of each balance are equal. On the smaller balance on the left, and equals and. This means equals. On the right side of the whole balance, equals. This means equals and together. 44
42 Review 1 Solve these number sentences: a 12 + = 27 b 3 = 600 c _ 31 = 11 d 4 = 16 2 Solve these number sentences: a 3 _ 4 = 14 b _ 12 = c 10 _ 4 = 3 d 2 = Copy and complete these number sentences. Make sure the answer is a whole number: a + 6 =? b? =4 2 c 3 =? d 4 +? =1 0 45
43 4 Laila gives her sister 5 pencils. Laila now has 18 pencils. How many pencils did Laila have at the beginning? Write and solve a number sentence. 5 Write a word problem to match each number sentence. a _ 30 = 31 b 8 = 50 c 2 = 16 d 19 + = 37 Hint Try using pens, pencils, pizza slices, sweets or oranges. Use the names of your family or friends. 6 Draw strip diagrams for these number sentences. Find the missing numbers. a 11 + = 19 b 5 = 45 7 Draw strip diagrams for these number sentences. Solve the number sentences: a = 19 b = 23 46
44 8 How many balance one? 9 = 6. Find and. Check your answer. I can statements What can you do? I can solve number sentences. I can write a number sentence where the answer is a whole number. I can write a number sentence and use it to solve a word problem. I can match word problems to number sentences. I can make a word problem that matches a number sentence. I can use strip diagrams to help solve number sentences. I can solve balancing problems. 47
THE SULTAN S SCHOOL HELPING YOUR CHILD WITH MATHS AT HOME
HELPING YOUR CHILD WITH MATHS AT HOME Your child has taken home a letter which explains the main things that your child has or will be learning in maths. Have a look through this letter so you can get
Smiley Face Math Grade 2, Worksheet I
Section 2 Smiley Face Math Grade 2, Worksheet I Name 1. Complete the two patterns. 448, 458, 468,,, 498,, 518 285, 385, 485, 585,,,,,1085 2. Jackson ate a cookie at 1:00. He ate another cookie every 2½
1 Summer Math Booklet
Summer Math Booklet 1 2 How Many Combinations? Sarah has 68. What different combinations of dimes and pennies could she have to equal 68? Try to find all the possible combinations. Write an equation for
1. A cow will fly? Circle the correct answer. a) Possible b) Certain c) Impossible d) Unsure
1. A cow will fly? Circle the correct answer. a) Possible b) Certain c) Impossible d) Unsure 2. If you select a marble without looking, how likely is it that you will pick a black one? a) Certain b) Possible
Sixth Grade Spiraling Review Week 1 of Second Six Weeks
Week 1 of Second Six Weeks Day 1 Scott bought fruit for a baseball tournament. The table shows the amount of each type of fruit he bought. Type of Fruit Peaches Apples Bananas Oranges Amount (lb) 3 5 19
Summer Math Calendar
Going into Third Grade Directions: Follow the daily activities to practice different math concepts. Feel free to extend any of the activities listed. When the work is completed, have a parent initial the
MEP Y9 Practice Book A. This section deals with the revision of place value. Remember that we write decimal numbers in the form:
2 Basic Operations 2.1 Place Value This section deals with the revision of place value. Remember that we write decimal numbers in the form: Thousands Hundreds Tens Units Tenths Hundredths Thousandths Example
Line Master 1 (Assessment Master) Add and subtract to 20 Not observed Sometimes Consistently Models and describes addition situations
Buy 1 Get 1 Line Master 1 (Assessment Master) Name: Add and subtract to 20 Not observed Sometimes Consistently Models and describes addition situations Uses + and = appropriately Models and describes subtraction
Share and Show. Lesson 1. Find Sums on an Addition Table ? The sum for is found where row 3 and column 4 meet.
Name Find Sums on an Addition Table Essential Question How do you find sums on an addition table? 3 1 4 5? The sum for 3 + 4 is found where row 3 and column 4 meet. 7 3 1 4 5 _ row Lesson 1 column Share
Year 1. Using and applying mathematics. Framework review
Year 1 Using and applying mathematics Solve problems involving counting, adding, subtracting, doubling or halving in the context of numbers, measures or money, for example to pay and give change I am going
Helping your child with Maths at the end of Reception and in Year 1
Shape activity At home, or when you are out, look at the surface of shapes. Ask your child what shape is this plate, this mirror, the bath mat, the tea towel, the window, the door, the red traffic light,
Solving Problems. PS1 Use and apply mathematics to solve problems, communicate and reason Year 1. Activities. PS1.1 Number stories 1.
PS1 Use and apply mathematics to solve problems, communicate and reason Year 1 PS1.1 Number stories 1 PS1.2 Difference arithmagons PS1.3 Changing orders PS1.4 Making shapes PS1.5 Odd or even? PS1.6 Odd
7 + Entrance Examination Sample Paper Mathematics. Total marks: 84 Time allowed: 1hour
7 + Entrance Examination Sample Paper Mathematics Total marks: 84 Time allowed: 1hour Information for parents: This sample paper has been created for children who are embarking on the 7+ exam. We recommend
7 + Entrance Examination
7 + Entrance Examination Paper 7 Numeracy / Maths Total marks: 84 Time allowed: 1 hour Full name. Answer the questions below. Don t forget to show your working. 1a. Grandma likes to knit mittens. Today
You will say it if you start at 0 and count in twos. eigh. teen. Answers will vary. This is one example = = = = 1 = 5
Name Answers will vary. This is one example. 9 MENTAL MATHS Addition & Subtraction 8 8 8 9 9 9 9 + = = + + = 8 = = + = = + 8 + = = = 9 + = = + + = = = + 8 = = 9 + + 9 = 8 = = + = = + + = = 8 9 = Number
Maths Makes Sense. 1 Medium-term plan
Maths Makes Sense 1 Medium-term plan 2 Maths Makes Sense 1 Block 1 End-of-block objectives Arithmetic 1 Copy addition and subtraction Maths Stories with 1-digit, zero, a half and a quarter, e.g. 2 + 1
Cheetah Math Superstars
PARENTS: You may read the problem to your child and demonstrate a similar problem, but he/she should work the problems. Please encourage independent thinking and problem solving skills. SCORING: 20 paw
We are herbivores. We eat plants and twigs. We are the largest dinosaurs.
1 The Link of mathematics is designed to help children develop their mathematical skills. Each Link or page has four practice exercises with short and varied activities to consolidate learning and increase
Patterns and Relationships
Student ook Patterns and Relationships Name Series Patterns and Relationships Contents Topic Patterns and rules (pp. 6) l continuing patterns l repeating patterns l translating patterns l body patterns
Multiplication and Division
F Student Book Name Series F Contents Topic Mental multiplication strategies (p. - 0) doubling strategy multiply by 0s, 00s and 000s split strategy compensation strategy factors and multiples Date completed
KS2 Reasoning & Problem Solving Questions Each question now has a YouTube tutorial
KS Reasoning & Problem Solving Questions 07 Each question now has a YouTube tutorial Reasoning and Problem Solving Questions Information This booklet contains over 40 reasoning and problem solving questions
Topic 1 Multiplication and Division: Meanings and Facts
Topic 1 Multiplication and Division: Meanings and Facts Exam Intervention Booklet Intervention Lesson F37 Multiplication Properties 1. What do you notice about all of the 3 0 0 0 7 0 products at the right?
Read each question carefully before you start to answer it. Try to answer every question. Check your answers if you have time at the end.
Write your name here Surname Other names Edexcel International Primary Curriculum Centre Number Mathematics Year 6 Achievement Test Candidate Number Tuesday 12 June 2012 Morning Time: 1 hour You do not
Multiplication and Division
Series Student Multiplication and Division My name E Copyright 009 P Learning. All rights reserved. First edition printed 009 in Australia. A catalogue record for this book is available from P Learning
11 + Entrance Examination Sample Paper 2 Mathematics Total Marks: 100 Time allowed:1 hour
11 + Entrance Examination Sample Paper 2 Mathematics Total Marks: 100 Time allowed:1 hour Information for parents: This sample paper has been created for children who are embarking on the 11+ exam. The
20 Arithmetic: Fractions
MEP Y Practice Book B 0 Arithmetic: Fractions 0. Revision: Whole Numbers and Decimals In this section we revise addition, subtraction, multiplication and division of whole numbers and decimals, before
Phrases for 2 nd -3 rd Grade Sight Words (9) for for him for my mom it is for it was for. (10) on on it on my way On the day I was on
(1) the on the bus In the school by the dog It was the cat. Phrases for 2 nd -3 rd Grade Sight Words (9) for for him for my mom it is for it was for (17) we If we go we can sit we go out Can we go? (2)
Colour the unit squares using only colours. Do not use the same colour for adjoining unit squares. Make every large square different. If a pattern is
Write below each pattern the number of mirror lines it has. a) b) d) e) f) g) h) 2 Colour each shape so that it has: a) exactly one mirror line b) more than one mirror line no mirror lines. Reflect the
Cheetah Math Superstars
Cheetah Math Superstars PARENTS: You may read the problem to your child and demonstrate a similar problem, but he/she should work the problems. Please encourage independent thinking and problem solving
2nd Grade Facts Presentation
Slide 1 / 246 Slide 2 / 246 2nd Grade Facts Presentation 1 2015-11-23 www.njctl.org Slide 3 / 246 Presentation 1 Table of Contents Facts Click on a topic to go to that section. Recall from Memory Addition
Cheetah Math Superstars
PTA SPONSORED Cheetah Math Superstars PARENTS: You may read the problem to your child and demonstrate a similar problem, but he/she should work the problems. Please encourage independent thinking and problem
Student Answer Document STAAR Practice Test, Form A
Student Answer Document STAAR Practice Test, Form A Sample A 3 3 Sample B Use grid BELOW. 4 37 Item 3 Use grid BELOW. 5 3 Item 39 4 Use grid BELOW. 40 5 7 4 3 4 4 7 9 43 5 30 44 9 3 45 7 0 3 4 Item 33
Write down all the factors of 15 Write down all the multiples of 6 between 20 and 40
8th September Convert 90 millimetres into centimetres Convert 2 centimetres into millimetres Write down all the factors of 15 Write down all the multiples of 6 between 20 and 40 A printer prints 6 pages
Section A: For each question, four options are given. (10 marks)
Algebra and Fraction Revision Section A: For each question, four options are given. (10 marks) (1) Multiply 30 by w. Subtract 11 from the result gives (A) 11w 30 (B) w 330 (C) 11-30w (D) 30w 11 ( ) (2)
Released January Years 3/4. Small Steps Guidance and Examples. Block 2 Length, Perimeter, Area
Released January 208 Years 3/4 Small Steps Guidance and Examples Block 2 Length, Perimeter, Area Year 3/4 Spring Term Teaching Guidance Overview Small Steps Year 3 Year 4 Measure length Equivalent lengths
Getting ready to go. Workbook 2. My money
Getting ready to go Workbook 2 My money English to help you get ready if you are going to live the UK after release 1 Unit 2 My Money Contents page How to use the workbook 3 Task 1 Money words 5 Important
Cheetah Math Superstars
Cheetah Math Superstars PARENTS: You may read the problem to your child and demonstrate a similar problem, but he/she should work the problems. Please encourage independent thinking and problem solving
Patterns and rules repeating patterns
Patterns and rules repeating patterns We are used to continuing repeated patterns. But what if the pattern rule is in the middle? What strategies can you use to continue these patterns both ways? 1 ontinue
One more time. The people. Look for some people. When would you go? Write it down. No way. By the water. All day long. A number of people
List 1 (First 100) The people Look for some people. Write it down. By the water So there you are. Who will make it? You and I A long time What will they do? He called me. Have you seen it? We had their
Year 6 Spring Term Week 10 to 11 Number: Ratio
1 Using ratio language Ratio and fractions Introducing the ratio symbol Calculating ratio Using scale factors Calculating scale factors Ratio and proportion problems Solve problems involving the relative
Mid-Year Test. 100 Suggested Time: 1½ hour. Multiple Choice (20 x 2 points = 40 points)
Multiple Choice (20 x 2 points = 40 points) 100 Suggested Time: 1½ hour Fill in the circle next to the correct answer. 1. What is 8 hundreds and 7 ones in standard form? A 87 B 708 C 807 D 870 2. + 40
Lesson 1. Find Sums on an Addition Table =? The sum for is found where row 3 and column 4 meet _ 7
Find Sums on an Addition Table Essential Question How do you find sums on an addition table? 3 + 4 =? The sum for 3 + 4 is found where row 3 and column 4 meet. Model and Draw 3 1 4 5 _ 7 row 0 1 2 3 4
SERIES Addition and Subtraction
D Teacher Student Book Name Series D Contents Topic Section Addition Answers mental (pp. 48) strategies (pp. 4) look addition for a mental ten strategies_ look subtraction for patterns_ mental strategies
A) 80 B) 160 C) 320 D) 640 E) 1280
1. Paul s garden has the shape of a rectangle, 15 metres long and 7 metres wide. How many metres will Paul walk if wants to go around his garden? A) 37 m B) 22 m C) 30 m D) 44 m E) 105 m 2. Adam and his
Chuckra 11+ Maths Test 4
Chuckra 11+ Maths Test 4 1 The table below shows how many bottles were collected in a bottle bank during one week. How many green bottles were put in the bottle bank? 2 6 55 Between 5 and 6 Between 50
Addition and Subtraction
D Student Book Name Series D Contents Topic 1 Addition mental strategies (pp. 114) look for a ten look for patterns doubles and near doubles bridge to ten jump strategy split strategy version 1 split strategy
Summer Math Packet. Grade 3 Students Going to Grade 4. Trumbull Public Schools June 2010
Summer Math Packet 1 Grade 3 Students Going to Grade 4 Trumbull Public Schools June 2010 2 Please note: This packet is for your summer practice! It does not need to be returned to school in September.
Year 4 Homework Activities
Year 4 Homework Activities Teacher Guidance The Inspire Maths Home Activities provide opportunities for children to explore maths further outside the classroom. The engaging Home Activities help you to
Mathematics (Project Maths Phase 3)
2013. S332 S Coimisiún na Scrúduithe Stáit State Examinations Commission Junior Certificate Examination, 2013 Sample Paper Mathematics (Project Maths Phase 3) Paper 1 Ordinary Level Time: 2 hours 300 marks
[WORD PROBLEMS] Advanced Word Problems for Key Stage Two children.
![[WORD PROBLEMS] Advanced Word Problems for Key Stage Two children.](/thumbs/86/94440268.jpg "[WORD PROBLEMS] Advanced Word Problems for Key Stage Two children.")
Levels 5 & 6 Advanced Word Problems for Key Stage Two children. Q1. 427 children visit a castle. They go in groups of 15. One group has less than 15. Every group of children has one adult with them. How
RELEASED. End-of-Grade Alternate Assessment Mathematics. Grade 3. Student Booklet
Released Form REDY NEXTEND End-of-Grade lternate ssessment Mathematics Grade Student ooklet cademic Services and Instructional Support Division of ccountability Services opyright 0 by the North arolina
Study Guide for Unit 1 ( )
Name: Study Guide for Unit 1 (1.1-1.5) Date: What time is it? What time is it? Use numbers to describe the arrangement of cubes. + + + + Use numbers to describe the arrangement of cubes. + + + + Name:
6th Grade. Factors and Multiple.
1 6th Grade Factors and Multiple 2015 10 20 www.njctl.org 2 Factors and Multiples Click on the topic to go to that section Even and Odd Numbers Divisibility Rules for 3 & 9 Greatest Common Factor Least
MATHEMATICS TEST. Paper 2 calculator allowed LEVEL 6 TESTS ANSWER BOOKLET. First name. Middle name. Last name. Date of birth Day Month Year
LEVEL 6 TESTS ANSWER BOOKLET Ma MATHEMATICS TEST LEVEL 6 TESTS Paper 2 calculator allowed First name Middle name Last name Date of birth Day Month Year Please circle one Boy Girl Year group School YOU
Abacus Year 2 Physical resource list
Abacus Year 2 Physical resource list This physical resource list should be used as a guide and should be used alongside the Abacus lesson plans. Autumn Term Resource 1 2 3 4 5 6 7 8 9 10 1p, 2p, 5p, 10p,
Operation Target. Round Number Sentence Target How Close? Building Fluency: creating equations and the use of parentheses.
Operations and Algebraic Thinking 5. OA.1 2 Operation Target Building Fluency: creating equations and the use of parentheses. Materials: digit cards (0-9) and a recording sheet per player Number of Players:
Cranford Public Schools Summer Math Practice Students Entering 2 nd Grade
Cranford Public Schools Summer Math Practice Students Entering 2 nd Grade 1. Complete the chart below by writing the missing numbers from 0 120. Finish the number patterns below. 2. 11, 12,,,,, 3. 55,
Multiplying Real- Life Numbers. Module 4. Karen bought 8 T- shirts at $9.95 each. How much money did she spend in all?
Module 4 Multiplying Real- Life Numbers Karen bought 8 T- shirts at $9.95 each. How much money did she spend in all? Module 4: Multiplying Whole Numbers 1 PART 1 The Meaning of Multiplication Each domino
Unit 5. Exercise 1. Understanding Messages about Spending Money, p.122:
71 Unit 5 Exercise 1. Understanding Messages about Spending Money, p.122: You will hear information about three people. They are each talking about buying something. Listen carefully. On the line, write
12 Days of Christmas Maths Puzzles
Day 1 Q1. Which is the shortest road that Santa can take to get home? The yellow one or the blue one or are they both the same? Q2. Santa has 11 boxes of chocolate. He wants 4 elves and himself to have
Multiplication and Division
E Student Book 6 7 = 4 Name Series E Contents Topic Multiplication facts (pp. 7) 5 and 0 times tables and 4 times tables 8 times table and 6 times tables Date completed Topic Using known facts (pp. 8 )
Study Guide: Solving Equations and Inequalities
Please complete this study guide and submit it when you take your test. If you have questions, please make sure you ask me before December 5!! Solving Equations Your goal in solving equations is to get
zero. Numbers to ten 0 (zero) 1 Say and trace. 2 What are some words you know that also mean zero? Write them or tell a partner.
Numbers to ten 0 (zero) Say and trace. 0 0 0 0 0 zero What are some words you know that also mean zero? Write them or tell a partner. nought none nil nothing 3 Loop the container with nothing in it. 4
Simultaneous Equations Worded Examples
Simultaneous Equations Worded Examples STUDENTS MUST STATE THE MEANING OF EACH VARIABLE 1. Two friends, Vicky and Richard, are each thinking of a number. Twice Vicky s number plus three times Richard s
Number Models for Area
Number Models for Area Objectives To guide children as they develop the concept of area by measuring with identical squares; and to demonstrate how to calculate the area of rectangles using number models.
Addition and Subtraction
Series Student Addition and Subtraction My name D Copyright 2009 3P Learning. All rights reserved. First edition printed 2009 in Australia. A catalogue record for this book is available from 3P Learning
27 + = = 6 2 = = 25 5 = 40 + = 60 4 = 9 4 = = 45 5 = 32 + = = 2 7 = 20 2 = 15 3 =
Name MENTAL MATHS Addition & Subtraction Multiplication & Division + = = = = = + = = = = = + = = = = = + = = = = = + = = = = = Number & Place Value Look at these distances. Use a written method to find
Paper 1. Calculator not allowed. Mathematics test. Remember. First name. Last name. School YEAR 7 LEVELS 3 4
Ma YEAR 7 LEVELS 3 4 Mathematics test Paper 1 Calculator not allowed First name Last name School 2007 Remember The test is 45 minutes long. You must not use a calculator for any question in this test.
What You Need to Know Page 1 HANG 10! Write addition and subtraction expressions that equal 10.
Summer Math Booklet What You Need to Know Page 1 HANG 10! Write addition and subtraction expressions that equal 10. Find as many ways as you can to make 10. See if you can fill up the boxes. By adding
Patterns and Relationships
Series Student Patterns and Relationships My name opyright 009 3P Learning. All rights reserved. First edition printed 009 in Australia. A catalogue record for this book is available from 3P Learning Ltd.
Foundation Stage. Using and applying mathematics. Framework review. Use developing mathematical ideas and methods to solve practical problems
Foundation Stage Using and applying mathematics Use developing mathematical ideas and methods to solve practical problems Look at the apples. Are there more green apples or more red apples? How can you
Meet the Characters 3. Yearly Overview 4. Block 1 Number: Multiplication and Division 5. Block 2 Measurement: Money 25. Block 3 Statistics 37
1 Meet the Characters 3 Yearly Overview 4 Spring Blocks Block 1 Number: Multiplication and Division 5 Block 2 Measurement: Money 25 Block 3 Statistics 37 Block 4 Measurement: Length and Perimeter 45 Block
Paper B Numeracy Paper 11+ Candidate Number... This is a multiple-choice test. Please fill in the details on the multiple-choice answer sheet.
Paper B. 2015 Numeracy Paper 11+ Name... Candidate Number... Seat Number... This is a multiple-choice test. Please fill in the details on the multiple-choice answer sheet. This numeracy paper contains
THE ENGLISH SCHOOL ENTRANCE EXAMINATIONS Time allowed: 1 hour and 30 minutes
THE ENGLISH SCHOOL ENTRANCE EXAMINATIONS 2014 MATHEMATICS FIRST FORM Time allowed: 1 hour and 30 minutes Answer ALL questions. Show all necessary working on the question paper in the spaces provided and
Essentials. Week by. Week. Investigations. Let s Write Write a story about. Seeing Math $ $ $ $ What Do You Think? Patterns, Patterns, Patterns
Week by Week MATHEMATICS Essentials Grade 2 WEEK 21 Let s Write Write a story about 1 2 Seeing Math What Do You Think? Suppose you hit the target with three darts. How could you score 15? Is there more
The Willows Primary School Mental Mathematics Policy
The Willows Primary School Mental Mathematics Policy The Willows Primary Mental Maths Policy Teaching methodology and organisation Teaching time All pupils will receive between 10 and 15 minutes of mental
Essentials. Week by. Week. Investigations. Let s Write Write a note to explain to your teacher how you and your partner played Race to a Dollar.
Week by Week MATHEMATICS Essentials Grade 2 WEEK 17 Let s Write Write a note to explain to your teacher how you and your partner played Race to a Dollar. Seeing Math What Do You Think? The students wanted
Section 1: Whole Numbers
Grade 6 Play! Mathematics Answer Book 67 Section : Whole Numbers Question Value and Place Value of 7-digit Numbers TERM 2. Study: a) million 000 000 A million has 6 zeros. b) million 00 00 therefore million
2. Write the products for these. SAMPLE 4 6 = = = 4 3 = 8 3 = 3. Use a doubling strategy to complete this table. Step Ahead 6.
. Introducing the Eights Multiplication Facts. Write the products for these. Look at this array. What do you see? What strategy can you use to figure out the product? = = Look at the next array. What do
Grade: 1st Enduring Skill 1: Students will develop understanding and use strategies based on meaning for addition and subtraction within 20.
Grade: 1st Enduring Skill 1: Students will develop understanding and use strategies based on meaning for addition and subtraction within 20. Demonstrators : 1. Use addition and subtraction within 20 to
Formulas quiz answers
Level A 1. What is the missing number? 17 + = 20 A) 14 B) 37 C) 3 D) 4 2. What is the missing number? + 9 = 12 A) 3 B) 21 C) 4 D) 20 3. What is the missing number? 8 - = 1 A) 9 B) 7 C) 6 D) 1 4. What is
Kansas City Area Teachers of Mathematics 2005 KCATM Contest PROBLEM SOLVING TEST GRADE 6
Kansas City Area Teachers of Mathematics 2005 KCATM Contest PROBLEM SOLVING TEST GRADE 6 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 15 minutes You may use calculators
TERM 2 MATHS NOTES COMMON FRACTIONS
1 TERM 2 MATHS NOTES COMMON FRACTIONS Table of Contents DEFINITIONS AND KEY WORDS:... 3 Proper Fractions:... 3 Improper Fractions:... 3 Mixed Fractions:... 3 CONVERTING FRACTIONS... 4 EXERCISE 1... 4 EQUIVALENT
2 a. What is the total cost of a fidget. 1. Calculate the following: spinner costing 4.68 and a cricket ball. a costing 8.59?
Revision Pack REMOVE November 2017 This is the Upper summer pack to help you revise. NO CALCULATORS to be used unless π is needed or the question says to. 1. Calculate the following: a. 47 9 + 9 76 Name:
Sixth Grade Spiraling Review Week 1 of Third Six Weeks
Week 1 of Third Six Weeks Materials: Spiraling Review Cards run on cardstock and cut for each group of students. Note: Record all work in your math journal. Day 1 Spiraling review cards see attachment
GCSE Mathematics Practice Tests: Set 4
GCSE Mathematics Practice Tests: Set 4 Paper 1F (Non-calculator) Time: 1 hour 30 minutes You should have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil,
Four mice have found a lump of cheese. Draw where they should cut it so that they each have an equal amount. Each mouse has of the c
MEP Primary Practice Book Y2b a) Draw half the number of shapes in the picture. b) Draw one third of the number of shapes in the picture. c) Draw one quarter of the number of shapes in the picture. 2 There
CCSS Math Samples Grade 2
CCSS Math Samples Grade 2 1. Use the dot grid to show the number 100. What value does the 1 have in the number 100? What value does the 0 have in 100? 3. Sylvia earned seven dollars and twenty-nine cents
First Practice Test 2 Levels 3-5 Calculator allowed
Mathematics First Practice Test 2 Levels 3-5 Calculator allowed First name Last name School Remember The test is 1 hour long. You may use a calculator for any question in this test. You will need: pen,
4 digit number. 7. In a school there are 5985 students. On a rainy day 1009 students were absent. How many were present on that day? I 8. The sum of two numbers is 7854. If one of the numbers is 2435,
Paper 2. Calculator allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 3 5
Ma KEY STAGE 3 Mathematics test TIER 3 5 Paper 2 Calculator allowed First name Last name School 2007 Remember The test is 1 hour long. You may use a calculator for any question in this test. You will need:
These tests contain questions ranging from Level 2 to Level 4. They get progressively more difficult. Children should have five seconds to
These tests contain questions ranging from Level to Level. They get progressively more difficult. Children should have five seconds to answer questions in each test and ten seconds to answer questions.
0:50. year. Use 2B or HB pencil only. Time available for students to complete test: 50 minutes
national assessment program literacy and numeracy NUMERACY year 5 2010 0:50 Time available for students to complete test: 50 minutes Use 2B or HB pencil only ACARA, on behalf of the Ministerial Council
Math Made Easy! Parents Workshop Primary 1 and st January 2015
Math Made Easy! Parents Workshop Primary 1 and 2 31 st January 2015 Some useful reminders Example 1 Amy has 10 stickers. Lisa has 7 more stickers than Amy. How many stickers do the two children have altogether?
1-20 Diagnostic Interview Assessment
Chapter 1 Diagnostic Interview ment Materials ten frames (see eteacher Resources) two-color counters hundred chart (see eteacher Resources) base-ten blocks (tens) Model Numbers to 20 Place 2 ten frames
ANSWERS & MARK SCHEMES
Key Stage Mathematics TESTS ANSWERS & MARK SCHEMES Page 48 of 34 Answers & Mark Schemes About the KS Maths Practice Papers There are three full sets of KS Maths Practice Papers within this book. Each set
1st Grade Two Digit Subtraction
Slide 1 / 225 Slide 2 / 225 1st Grade Two Digit Subtraction 2015-11-30 www.njctl.org Slide 3 / 225 Table of Contents - Subtracting Ten from Multiples of Ten with Blocks - Subtracting Ten from Multiples
Pick a number from 6 to 10. Draw and color that many fl owers. Write the number of fl owers you drew.
1 Computation and Mental Math Pick a Number! Pick a number from 6 to 10. Draw and color that many fl owers. Write the number of fl owers you drew. Write the name of the number of flowers you drew. 37 Use
17 9 = = = = = = = = = 12. Choose the correct answer.
Page 1 Choose the correct answer. 1. Which shows a related addition fact? 17 9 = 8 17 + 9 = 26 9 8 = 1 8 + 9 = 17 25 8 = 17 2. There are 7 big dogs and 6 small dogs. Which number sentence shows how many
Flyers. Reading & Writing. Cambridge Young Learners English. My name is:... There are 50 questions. You have 40 minutes.
Centre Number Candidate Number *20 4 7 2 09378* Cambridge Young Learners English Flyers Reading & Writing Version 127 0761 There are 50 questions. You have 40 minutes. You will need a pen or pencil. My