between grades 3 and 4 - assets.readingeggs.com

1SUMMER MATH • WEEK 8 © Blake eLearning

BETWEEN GRADES 3 AND 4

Math Catch-up • Week 8

www.mathseeds.com

Open the door to

Grade 4!


Let's start Week 8This week we focus on the value of practice and repetition in learning mathematical skills and knowledge.Learning any new skill takes time. To master new skills in mathematics, children need plenty of time and practice. This is why the Mathseeds program provides so many different activities for children to practice new concepts. Your child will apply each new skill in a variety of interesting animated activities. By doing this, children gain fluency and flexibility with numbers, a collection of skills known as number sense.

Every Mathseeds lesson includes a variety of interactive activities where children practice new skills. These short, focused activities are set in meaningful contexts and use repetition with variation to consolidate a child’s grasp of the topic. This summer school program moves through our carefully planned progression of lessons, revisiting core topics and essential learnings.

Within the Mathseeds program, we also have a series of activities called Driving Tests. This section consists of short quizzes that assess math skills and knowledge up to Grade 2 with a fun reward game to keep them motivated. Your child could use these short activities as a way to revise Grade 2 content.

The Mathseeds Driving Tests provide:

• Comprehensive coverage of all K–2 math topics.• Six core content areas: number, operations, patterns and fractions, measurement,

geometry, and data.• Questions targeting key concepts, strategies, and vocabulary for student practice.• Question formats that are clear and easy to follow, providing repetition with variation.• Question sets that increase in difficulty level to challenge students.• Built-in reward games to motivate students to make real progress.• An opportunity for all students to experience success and take pride in their

achievements.

If time and enthusiasm allows, encourage your child to work on the suggested Driving Tests, practicing the skills and knowledge they have learnt.

This booklet is the eighth of ten weekly booklets you will receive over the summer break. The Mathseeds summer catch up program provides a great way to make sure that your child knows the essentials they need to make a successful transition into Grade 4. We know your child will enjoy learning on Mathseeds because Mathseeds makes learning fun – and that’s what summer is all about!


Week 8

Day 1 focus: Multiplication StrategiesOnline lesson: Lesson 186 – Multiplication 2Worksheets: Algorithms and Arrays, Algorithm Problems

Day 2 focus: Scaled Bar GraphsOnline lesson: Lesson 187 – Scaled Bar GraphsWorksheets: Make a Scaled Graph, Read a Scaled Graph

Day 3 focus: Solving Multi-Step ProblemsOnline lesson: Lesson 188 – Problem Solving 2Worksheets: 1 and 2-Step Problems, Multi-Step Problems

Day 4 focus: Elapsed Time ProblemsOnline lesson: Lesson 189 – Elapsed Time ProblemsWorksheets: Compare Times, Calculate Times

Day 5 focus: Division using MultiplicationOnline lesson: Lesson 190 – Division 2Worksheets: Number Mountains, Number Fact Problems

Week 8 BonusOnline: Mental Minute × ÷ Badges 128, 129, 130, 131 Sheets: Data Investigation, The Perfect Trip, Doc’s ChallengeHands-on: Comic Problems

Get Ready for Grade 4


Week 8 • Answers

Week 8 Day 1: Algorithms and Arrays1 a b c d

2 a 21 b 24 c 45 d 28 e 25 f 48 g 63 h 64 i 20 j 9 k 63 l 36

Week 8 Day 1: Algorithm Problems1 a b c d

2 a b

Week 8 Day: Make a Scaled Graph

1 Clothing Sales (or similar) 2 Parent to check3 T-shirts, Jeans, Jackets, Shorts, Hats 4 Parent to check

Week 8 Day 2: Read a Scaled Graph1 a 20 b 40 c 50 d 30 e 25 2 Pegasus 3 Unicorn 4 Griffin 5 Dragon 6 165 7 58 Parent to check

Week 8 Day 3: 1 and 2-Step Problems1 a × b 5 × 4 = 20 2 a + b 10 + 12 = 22 3 a ÷ b 24 ÷ 8 = 3 4 a + × b 14 + 1 = 15, 15 × 2 = 30 5 a × – b 3 × 5 = 15, 20 – 15 = 5 6 a × + b 6 × 4 = 24, 24 + 5 = 29

Week 8 Day 3: Multi-Step Problems1 5 hours a day 2 11 records 3 2 km 4 10 hours

Week 8 Day 4: Compare Times1 a 7:31 a.m., 48 mins b Ruby 2 a 10:03 p.m., 10:24 p.m. b Block Build 3 a 1:27 p.m., 3 hrs 33 mins b Coding 4 a 2 hrs 29 mins, 2 hrs 19 mins b Bus 4321

Week 8 Day 4: Calculate Times1 2 hrs 23 mins 2 1:21 p.m. 3 Doc (1 hr 22 mins, Ruby–1 hr 15 mins) 4 12:01 p.m. 5 5:09 p.m.

Week 8 Day 5: Number Mountains1 a 32 b 10 c 6 2 a 4 × 8 = 32, 8 × 4 = 32, 32 ÷ 4 = 8, 32 ÷ 8 = 4 b 4 × 10 = 40, 10 × 4 = 40, 40 ÷ 4 = 10, 40 ÷ 10 = 4 c 6 × 9 = 54, 9 × 6 = 54, 54 ÷ 6 = 9, 54 ÷ 9 = 63 Parent to check mountains a 6 b 5 c 6 d 5 e 4 f 5

Week 8 Day 5: Number Fact Problems1 9 2 7 3 7 4 8 5 5

Week 8 Bonus: Data InvestigationParent to check

Week 8 Bonus: The Perfect TripParent to check

Week 8 Bonus: Doc’s Challenge1 a, b Parent to check c 2 x 3 = 6, 3 × 2 = 6, 6 ÷ 3 = 2, 6 ÷ 2 = 3, 2 × 6 = 12, 6 × 2 = 12, 12 ÷ 6 = 2, 12 ÷ 2 = 6, 2 × 12 = 24, 12 × 2 = 24, 24 ÷ 12 = 2, 24 ÷ 2 = 12, 3 × 4 = 12, 4 × 3 = 12, 12 ÷ 3 = 4, 12 ÷ 4 = 3, 4 × 6 = 24, 6 × 4 = 24, 24 ÷ 4 = 6, 24 ÷ 6 = 4 d 20 2 a Yes b I can make a number fact family for every equation using the x and then ÷ signs.

5× 8

40

6× 4

24

3× 3

9

2× 5

10

9× 9

81

10× 7

70

5× 7

35

5× 7

35

3× 9

27

9× 8

72

4× 8

32

6× 9

54


Color each one when you have completed each day’s work.

Week 8 Monday Tuesday Wednesday Thursday Friday

Online Lesson

Worksheets

Day Done!

Week 8

Incentive chart for:

Notes/thoughts/ideas

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186 187 188 189 190


ALGORITHMS AND ARRAYS WEEK 8 • DAY 1

a 3 b 4 c 5 d 7 × 7 × 6 × 9 × 4

e 5 f 6 g 9 h 8 × 5 × 8 × 7 × 8

i 4 j 3 k 7 l 6 × 5 × 3 × 9 × 6

1 Write an algorithm to match the array.

2 Use times table facts to find the answer.

a b

c d

||||||||||||||||||||||||||||||||||||||||

ttttttttttttttttttttttttttt

¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥¥

««««««««««««««««««««««««««««««««

×

×

×

×


ALGORITHM PROBLEMS WEEK 8 • DAY 1

1 Write an algorithm to solve each problem.

2 Write two algorithms to solve each problem. a James ordered three crates of apples. Each crate holds three trays. Each tray holds nine apples. How many apples altogether?

b Julie has a big library. She has two sets of book shelves with five shelves each. Each shelf holds seven books. How many books does Julie have?

a Chris books six taxis to take her and her friends to lunch. Four people get in each taxi. How many people are going to lunch?

b Naomi can fix five cars in a day. If she works all seven days one week, how many cars can she fix in that week?

d Alex bought six packets of beads for his daughter. Each packet holds nine beads. How many beads altogether?

×

×

×

×

××

×

c Amos buys nine boxes of cookies. There are eight cookies in each box. How many cookies does Amos have?

×


MAKE A SCALED GRAPH WEEK 8 • DAY 2

Use the data in the table to fill in the scaled bar graph. 1 Write the title at the top.2 Decide on a scale and fill in the numbers on the vertical axis.3 Fill in the horizontal axis with the names of the items sold.4 Color the bars to show the number of sales for each item.

Item T-shirts Jeans Jackets Shorts Hats

Sales 26 23 12 18 9

2

3

1


READ A SCALED GRAPH WEEK 8 • DAY 2

Answer these questions about this graph.1 How many races did… a the Unicorn win? ________ b the Dragon win? ________ c the Pegasus win? ________ d the Phoenix win? ________ e the Griffin win? ________2 Which creature is the fastest? ________________________________3 Which creature is the slowest? ________________________________4 Which creature won half as many races as the Pegasus? __________________________________5 Which creature won twice as many races as the Unicorn? __________________________________6 How many races have been run altogether? ________7 What is the scale? Each line on the graph represents ________ races. 8 Which animal would you want to ride and why? ___________________________________________________________ ___________________________________________________________

Unicorn Dragon Pegasus Phoenix Griffin

50

45

40

35

30

25

20

15

10

5

Race

s W

onThe Mythical Monster Races


1 AND 2-STEP PROBLEMS WEEK 8 • DAY 3

1 Alex has five good friends and she bought each of them four books.How many books did she buy in total?

a Which operation? + − × ÷

b =

2 Juliet has ten stuffed cats and twelve soft dolls. How many soft toys altogether?


b =

3 Zahra cooked 24 pies. She shared them out to eight people. How many pies did each person get?


b =

4 Hannah has fourteen friends. She makes enough cupcakes so everyone gets two, including herself. How many cupcakes?

a Which operation? + − × ÷ Which operation? + − × ÷ b = =

5 Annabel made twenty bracelets. She sold three sets of five bracelets. How many bracelets are left?


6 Eden is in seven dances. Six of the dances are four minutes long and the final dance is five minutes. How long is she on stage for?



MULTI-STEP PROBLEMS WEEK 8 • DAY 3

1 Mara spends 30 hours a week at school. Each day her lunch break is 40 mins and her recess break is 20 mins. How many hours a day are actually spent in class?

2 Phil has a big collection of records. He has 32 jazz records, 19 blues ones and 15 rock records. He has six storage boxes, each holding an equal number of records. How many records in each box?

3 Every morning Amy walks 500 m to the supermarket for groceries. Then she walks 200 m to the café for a milkshake and then she walks 300 m to the post office. After that she walks home the same way. How far in meters does she walk? Can you work out how far that is in kilometers?

4 Mark is editing ten books. Each book is thirty pages long. Each page takes two minutes to edit. How much time in minutes does Mark spend editing these books? Can you work out that time in hours?

Solve these problems. Show your working. Write the sums.


COMPARE TIMES WEEK 8 • DAY 4

b Which class is longer? __________________________________

Class Start End Duration

Art 10:09 a.m. 3 hrs 18 mins

Coding 10:09 a.m. 1:42 p.m.

3 a

a Fill in the missing numbers. b Answer the question.

b Which show ends earlier? __________________________________

Show Start End Duration

Block Build 8:27 p.m. 1 hr 36 mins

Farm-a-go 9:03 p.m. 1 hr 21 mins

2 a

b Which bus trip is shorter? __________________________________

Bus Departs Arrives Trip time

Bus 1234 2:40 p.m. 5:09 p.m.

Bus 4321 2:55 p.m. 5:14 p.m.

4 a

b Who is faster? __________________________________

Racer Start End Race time

Mango 6:34 a.m. 57 mins

Ruby 6:34 a.m. 7:22 a.m.

1 a


CALCULATE TIMES WEEK 8 • DAY 4

Solve these problems. Show your working. You could use a number line, a table, or equations.

1 Mango went hiking on Sunday. She started out at 8:58 a.m. She got home at 11:21 a.m. How long was Mango’s hike? ________________________

2 The movie started at 11:34 a.m. It ran for 1 hour and 47 mins. What time did it end? ________________________

3 Ruby started her homework at 3:41 p.m. She finished at 4:56 p.m. Doc started his homework at 5:05 p.m. He finished at 6:27 p.m. Who took longer to do their homework? ________________________

4 Waldo is roasting a chicken. He puts it in the oven at 9:26 a.m. It cooks for 2 hours and 35 mins. What time does he take it out? ________________________

5 Dizzy needs to meet Doc at a cafe at 6:03 p.m. It will take him 54 mins to get there. What time should he leave home? ________________________


NUMBER MOUNTAINS WEEK 8 • DAY 5

1 Complete the number mountains.

3 Fill in a number mountain and complete each equation.

2 Write a number fact family for each number mountain above.

a × = b × = c × =

× = × = × =

÷ = ÷ = ÷ =

÷ = ÷ = ÷ =

a b c

d 30 ÷ 6 = e 36 ÷ 9 = f 35 ÷ 7 =

a 42 ÷ 7 = b 45 ÷ 9 = c 48 ÷ 8 =

4 8 4

40 54

9


WEEK 8 • DAY 5NUMBER FACT PROBLEMS

Use your number fact knowledge to answer these problems. Show your working.

1 The farmer has eighty-one peaches to pack into boxes. Each box holds nine peaches. How many boxes does the farmer need? _______

2 The cows are herded into groups of ten. There are seventy cows altogether. How many groups are there? _______

3 Tom can shear nine sheep a day. There are sixty-three sheep to shear. How many days will it take? _______

4 It takes seven hours to harvest a field of wheat. Mia has spent a total of fifty-six hours harvesting. How many fields has she harvested? _______

5 The pigs eat twenty-five pounds of food every day. They get five pounds each. How many pigs are there? _______


DATA INVESTIGATION WEEK 8 • BONUS

1 What do you want to know? __________________________________________________________2 a How will you collect the data? Tick. survey observations measurements b What or who will you ask/observe/measure? ________________________________________________________ c How will you record the data? ________________________________________________________3 Conduct your investigation and record your data here:

4 On the back of this sheet represent your data in a scaled bar graph. You need a title, one axis with a scale, the categories of data along the other axis, and the bars to represent the numbers.

Complete your own investigation and represent the data in a scaled bar graph.


THE PERFECT TRIP WEEK 8 • BONUS

2 Estimate how much time you’ll need for the whole trip. Use this number line to help you work it out.

3 Write about your perfect trip. Use plenty of time words.

My trip will take about __________ hours.

Title

Travel or Activity Start End Duration

1 It’s time to plan your perfect trip. Where will you go? What will you do? How long will you spend in each place? How long will it take to get there? Fill in the table with your plan for the trip.


DOC’S CHALLENGE WEEK 8 • BONUS

2 a Did you write any related facts? _________

b Explain how they are related.

________________________________________________________

________________________________________________________

________________________________________________________

________________________________________________________

________________________________________________________

________________________________________________________

What sums could he write that include answer cards?

1 Doc made these number and symbol cards:

a Underline the question. b Circle the facts.

c What sums can you write with these cards?

________________________________________________________

________________________________________________________

________________________________________________________

________________________________________________________

________________________________________________________

________________________________________________________

d How many equations did you make? _________

12 2 x63 24 4 ÷ =


HANDS-ON: COMIC PROBLEMS WEEK 8 • BONUS

You will need colored markers.

1 Think about real world examples in which three numbers need to be multiplied. Some examples are:

• filling boxes with cans – how many in a row, and column, and how many layers fill the box?

• children on buses – how many in each seat, how many seats on a bus, how many buses?

• buying stationery – how many pencils in a pack, how many packs in a box, how many boxes?

• packing fruit – how many berries in a punnet, how many punnets in a tray, how many trays?

2 Write a word problem multiplying three numbers. It should have a context and a character or two.

__________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________

3 Now write the problem in comic strip format, with illustrations and speech bubbles, and narrative text boxes.

4 Can anyone in your family answer your problem correctly?


That was great, you have completed Week 8!

Way to go!

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