between grades 3 and 4 · 2021. 6. 22. · online lesson: lesson 191 – fraction problems...
TRANSCRIPT
1SUMMER MATH • WEEK 9 © Blake eLearning
BETWEEN GRADES 3 AND 4
Math Catch-up • Week 9
www.mathseeds.com
Open the door to
Grade 4!
2SUMMER MATH • WEEK 9 © Blake eLearning
Let's start Week 9When children can see the relevance of what they are learning, they engage with learning more. Children love to learn, but often they need to understand how the knowledge they're learning will be made useful. Once your child can see how mathematics can be applied to real‑life situations, they'll become more eager to listen, ask questions and look out for more opportunities to show you how well they've grasped the key concepts. You can integrate math into everyday activities such as shopping, cooking, and sports.
Having fun doing math while shopping and cooking will result in education + food–a win/win!
Plan a shopping list together. Discuss different ways of writing down amounts – grams or kilograms, liters or milliliters, number of items or packets. At the shops, ask your child to help you find items from the list and cross them off. Challenge them to estimate the ongoing total cost as you shop. This activity helps them incorporate several math skills at once, such as addition, multiplication and estimation. When you get home, they can help unpack the bags, sorting and grouping items by various categories and putting them into the appropriate storage spaces.
Make or buy pizza bases, spread on pizza sauce and cheese, and then ask your child to show different fractions using pizza toppings. For example, ask them to put mushroom on a fourth of the pizza, then pepperoni on half, olives on three‑fourths, and ham on the whole.
Following a recipe is a great way to practice fractions and measurements. Show your child different measuring tools in the kitchen and discuss different units. Talk about the concept of fractions, such as explaining how two half‑cups make one whole cup. After all the ingredients are assembled, guess how many servings it will produce.
Playing sports can be a fun and easy way to teach your child important math concepts. Many children enjoy keeping score during a sporting game. You can set up a scoreboard in your backyard or use simple pen and paper to keep a tally during a game. If your child is feeling confident, they can even keep score of other factors, such as strikes and fouls. Kick off your game with a coin toss and introduce your child to the concept of probability. This tells us that for a single coin toss, there are two possible outcomes – heads or tails – so the chance of getting either one is 1 in 2, or 50 per cent. Record the result of each coin toss over the course of a few weeks and compare probability with actual results. Many sporting games involve geometry. Observe the different shapes of the fields, as well as different lines and markings. At what angle should a player kick or hit the ball? Measure the distance of important field placements, like the distance between goals.
Several sporting games, for example, basketball, include a levelled scoring system, which provides a great opportunity to build your child's multiplication skills. Encourage them to count how many one, two or three‑point scores they make and to record them on a chart. At the end of the game, help them add up their overall score using multiplication.
This booklet is the ninth 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!
3SUMMER MATH • WEEK 9 © Blake eLearning
Week 9
Day 1 focus: Fraction ProblemsOnline lesson: Lesson 191 – Fraction ProblemsWorksheets: Adding Fractions, Mixed Fractions
Day 2 focus: PerimeterOnline lesson: Lesson 192 – PerimeterWorksheets: Add for Perimeter, Multiply for Perimeter
Day 3 focus: Multiply by TensOnline lesson: Lesson 193 – Multiplying 2‑digit NumbersWorksheets: Multiply by Tens, × Tens Problems
Day 4 focus: Rounding 3-digit NumbersOnline lesson: Lesson 194 – Rounding to the Nearest HundredWorksheets: Rounding Numbers, Round on Number Line
Day 5 focus: Place Value PatternsOnline lesson: Lesson 195 – Addition and Subtraction PatternsWorksheets: Ones, Tens, Hundreds, Increasing Tens
Week 9 BonusSheets: Garden Perimeters, Doc’s Numbers, Waldo’s WhoopsHands-on: DIY Fraction Manipulatives
Get Ready for Grade 4
4SUMMER MATH • WEEK 9 © Blake eLearning
Week 9 • Answers
Week 9 Day 1: Adding Fractions1 a 5 parts colored b %6 2 a 7 parts colored b &8 3 a 7 parts colored b &04 a 4 parts colored b $55 a #5 b $6 c 8̂ d *0 e %5 f #4 g &8 h *0 i #6
Week 9 Day 1: Mixed Fractions1 a @6 b %6 c 1#6 d 1%6 2 a !2 b #4 c 1!4 d 1!2 e 2 f 2!2 g 2#4 3 a < b < c > d > e < f < g < h > i = 4 Parent to check
Week 9 Day 2: Add for Perimeter1 a 100 + 100 + 70 + 70 = 340 m b 20 + 20 + 25 + 25 = 90 m2 2 + 3 + 3 + 2 + 5 + 5 = 20 in 3 7 + 1 + 2 + 4 + 3 + 4 + 2 + 1 = 24 in
Week 9 Day 2: Multiply for Perimeter1 a 2 cm b 2 × 4 = 8 cm 2 a 3 cm b 3 × 3 = 9 cm 3 a 2 cm b 2 × 5 = 10 cm 4 a 2 cm b 2 × 6 = 12 cm5 a 2 cm b 2 × 4 = 8 cm 6 a 1 cm b 1 × 12 = 12 cm 7 a 2 cm b 2 × 6 = 12 cm 8 a 1 cm b 1 × 10 = 10 cm
Week 9 Day 3: Multiply by Tens1 a 6 × 10 = 60 b 10 × 10 = 100 c 4 × 4 = 16 × 10 = 160 d 7 × 5 = 35 × 10 = 350 e 3 × 8 = 24 × 10 = 240 f 6 × 6 = 36 × 10 = 360 2 a 180 b 280 c 400 d 210 e 450 f 180 g 240 h 400 i 90 j 560 k 100 l 360 3 a 40, 100, 180, 60, 140, 80 b 180, 240, 90, 270, 120, 60
Week 9 Day 3: × Tens Problems1 20 × 8 = 160 2 30 × 9 = 270 3 4 × 20 = 80 4 50 × 9 = 450 5 8 × 30 = 240
Week 9 Day 4: Rounding Numbers1 Line between 4 and 5 2 a 5 to 9 b 1 to 4 3 a 50 b 80 c 80 d 70 e 30 f 100 g 20 h 20 i 50
4 Line just before 50 5 a 50 to 99 b 1 to 49 6 a 700 b 700 c 600 d 400 e 1000 f 900 g 100 h 300 i 300
Week 9 Day 4: Round on Number Line1 a 10 b 30 c 30 d 50 2 a 200 b 200 c 400 d 400
Week 9 Day 5: Ones, Tens, Hundreds1 a 5, 50, 500 b 9, 90, 900 c 13, 130, 1300 d 6, 60, 600 e 3, 30, 300 f 8, 80, 800 2 a 8, 80, 800 b 9, 90, 900 c 7, 70, 700 d 14, 140, 1400 3 a 16, 70 + 90 = 160, 700 + 900 = 1600 b 8, 150 – 70 = 80, 1500 – 700 = 800 c 12, 90 + 30 = 120, 900 + 300 = 1200 d 6, 110 – 50 = 60, 1100 – 500 = 600
Week 9 Day 5: Increasing Tens1 a 33, 43, 53, 32, 63, 42, 73, 52, 83 b 114, 124, 134, 39, 144, 49, 154, 59, 164 c 247, 257, 267, 231, 277, 241, 287, 251, 2972 a 205, 215, 225, 247, 235, 257, 245, 267, 255 b 703, 713, 723, 834, 733, 844, 743, 854, 753 c 302, 292, 282, 53, 272, 63, 262, 73, 2523 26 + 313 = 339, 36 + 313 = 349, 46 + 313 = 359, 56 + 313 = 369, 66 + 313 = 379, 76 + 313 = 3894 575 – 18 = 557, 575 – 28 = 547, 575 – 38 = 537, 575 – 48 = 527, 575 – 58 = 517, 575 – 68 = 507
Week 9 Bonus: Garden Perimeters 1 a 3 + 3 + 4 + 4 = 14 yards b 4 + 8 + 6 + 4 + 2 + 4 = 28 yards c 1 + 1 + 11 + 11 = 24 yards d 4 + 4 + 9 + 9 = 26 yards e 3 + 3 + 7 + 7 = 20 yards f 8 + 8 + 15 + 15 = 46 yards 2 Parent to check
Week 9 Bonus: Doc’s Numbers1 a, b Parent to check c 250, 349 d 330 sits near 349 e 325, 326, 327, 328, 329, 331, 332, 333, 334 f, g 326, 328, 332, 3342 Parent to check
Week 9 Bonus: Waldo’s Whoops1 a, b Parent to check c 18, 33, 60 d 18 – the pattern adds 17, not 18; 33 – the first number goes up by 10, not 9; 60 – 44 + 17 = 61, not 602 a 12, 38, 40 b 12 – the pattern subtracts 2, not 12; 38 – 39 minus 2 = 37, not 38; 40 – the first number goes up by 10 so it always ends in 93 a Parent to check b 1, 5, 10, 15, 20, 25, 30
5SUMMER MATH • WEEK 9 © Blake eLearning
Color each one when you have completed each day’s work.
Week 9 Monday Tuesday Wednesday Thursday Friday
Online Lesson
Worksheets
Day Done!
Week 9
Incentive chart for:
Notes/thoughts/ideas
___________________________________________________________________________________
___________________________________________________________________________________
___________________________________________________________________________________
___________________________________________________________________________________
___________________________________________________________________________________
___________________________________________________________________________________
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191 192 193 194 195
6SUMMER MATH • WEEK 9 © Blake eLearning
ADDING FRACTIONS WEEK 9 • DAY 1
Color the shapes to show the fractions and answer the equations.
1 a b
2 a b
3 a b
4 a b
5 Answer these equations. a b c
d e f
g h i
@6#6 + =
!8@8%8 + =
!0#0$0 + =
!5#5!5 + =
!6
!5!5@5 + = !6@6@6 + = !8@8$8 + =
!0#0%0 + = !5#5@5 + = !4@4!4 + =
!8@8%8 + = !0$0$0 + = !6@6!6 + =
7SUMMER MATH • WEEK 9 © Blake eLearning
MIXED FRACTIONS WEEK 9 • DAY 1
1 Complete the number line.
2 Order these mixed fractions from smallest to largest:
1!2 #4 2!2 1!4 2#4 !2 2
a b c d e f g
0 !6 #6 $6 1 21!6 1@6 1$6
a b c d
3 Compare these pairs of mixed fractions using: > < =
a 1#4 2#4 b 2!2 3#4 c 4!4 3#4
d 1#4 1!4 e 2!2 2#4 f 3!4 3$8
g 1@8 1!2 h 28̂ 2!2 i 4$8 4!2
4 Write a fraction to complete the sum.
a #4 > b 1 = c !2 <
d 1!2 = e 1 < f 18̂ >
8SUMMER MATH • WEEK 9 © Blake eLearning
ADD FOR PERIMETER WEEK 9 • DAY 2
1 Write an addition number sentence to find the perimeter of each. a Soccer field
P = ___________________________
b Swimming pool
P = ___________________________
70 m
100 m
20 m
25 m
Write an addition number sentence to find the perimeter of each letter.
1 in1 in
7 in
4 in
2 in
4 in
2 in
3 in
5 in
5 in
2 in
3 in
3 in
2 in
2 ___________________________ 3 ___________________________
___________________________ ___________________________
9SUMMER MATH • WEEK 9 © Blake eLearning
MULTIPLY FOR PERIMETER WEEK 9 • DAY 2
a Measure one side of these regular shapes with a ruler.
b Multiply by the number of sides to find the perimeter.
1 a _______ 2 a _______
b _______________________ b _______________________
3 a _______ 4 a _______
b _______________________ b _______________________
5 a _______ 6 a _______
b _______________________ b _______________________
7 a _______ 8 a _______
b _______________________ b _______________________
10SUMMER MATH • WEEK 9 © Blake eLearning
MULTIPLY BY TENS WEEK 9 • DAY 3
3 Complete.
a b
×20
2
57
4
3 9
×30
6
84
2
9 3
2 Answer the equations.
a 9 × 20 = _______ b 7 × 40 = _______ c 8 × 50 = _______
d 3 × 70 = _______ e 5 × 90 = _______ f 6 × 30 = _______
g 4 × 60 = _______ h 5 × 80 = _______ i 3 × 30 = _______
j 7 × 80 = _______ k 2 × 50 = _______ l 9 × 40 = _______
1 Split the multiple of ten to find the answer.
a 2 × 30 = 2 × 3 = _____ × 10 = _____
b 5 × 20 = 5 × 2 = _____ × 10 = _____
c 4 × 40 = 4 × _____ = _____ × 10 = _____
d 7 × 50 = 7 × _____ = _____ × 10 = _____
e 3 × 80 = ________________________________
f 6 × 60 = ________________________________
11SUMMER MATH • WEEK 9 © Blake eLearning
×X TENS PROBLEMS WEEK 9 • DAY 3
1 Doc sees that there are twenty socks in each sock box. There are eight boxes of socks. How many socks altogether?
2 Dizzy has thirty bags of shirts in the storeroom. There are nine shirts in each bag. How many shirts in total?
3 Mango kicked four goals in every game this year. She played twenty games. How many goals did she kick over the year?
4 Mrs. T makes the players run 50 yards. Then she tells them to do it nine times altogether. How far did they run in total?
5 Ruby cuts up the oranges for half time. She cuts each orange into eight slices and she has a bag of thirty oranges to cut. How many orange slices will there be?
Calculate the answers. Show your working.
12SUMMER MATH • WEEK 9 © Blake eLearning
ROUNDING NUMBERS WEEK 9 • DAY 4
1 Draw a line for the midpoint.
2 a Numbers from _______ to _______ will round up.
b Numbers from _______ to _______ will round down.
3 Round the number to the nearest 10.
a 52 b 79 c 84
d 67 e 31 f 96
g 23 h 15 i 48
5 a Numbers from _________ to _________ will round up.
b Numbers from _________ to _________ will round down.
6 Round the number to the nearest 100.
a 710 b 680 c 550
d 432 e 999 f 865
g 101 h 349 i 251
0 2 3 4 5 6 7 8 1091
Rounding to the nearest 10
Rounding to the nearest 100
0 20 30 40 50 60 70 80 1009010
4 Draw a line for the midpoint.
13SUMMER MATH • WEEK 9 © Blake eLearning
ROUND ON NUMBER LINE WEEK 9 • DAY 4
a
b
c
d
a
b
c
d
1 Round the number to the nearest ten. Circle your answer.
2 Round the number to the nearest hundred. Circle your answer.
40 42 43 44 47 48 5041 494645
400 420 430 450 470 480 500410 490460
30 32 34 35 36 37 38 4031 3933
300 320 340 360 370 380 400310 390330
20 22 23 24 25 26 27 3021 2928
200 230 240 250 260 270 300210 290280
10 12 13 14 15 16 17 18 201911
100 120 130 140 150 160 170 180 200110 190
220
350
440
14SUMMER MATH • WEEK 9 © Blake eLearning
ONES, TENS, HUNDREDS WEEK 9 • DAY 5
1 Find the answers.
a 2 + 3 = ______ b 4 + 5 = ______ 20 + 30 = ______ 40 + 50 = ______ 200 + 300 = ______ 400 + 500 = ______
c 6 + 7 = ______ d 8 – 2 = ______ 60 + 70 = ______ 80 – 20 = ______ 600 + 700 = ______ 800 – 200 = ______
e 8 – 5 = ______ f 12 – 4 = ______ 80 – 50 = ______ 120 – 40 = ______ 800 – 500 = ______ 1200 – 400 = ______
2 Complete the patterns.
a 8 + ______ = 16 b ______ + 4 = 13 80 + ______ = 160 ______ + 40 = 130 800 + ______ = 1600 ______ + 400 = 1300
c 14 – ______ = 7 d ______ – 9 = 5 140 – ______ = 70 ______ – 90 = 50 1400 – ______ = 700 ______ – 900 = 500
3 Fill in the patterns.
a 7 + 9 = ______ b 15 – 7 = ______ 70 + ______ = ______ 150 – ______ = ______ ______ + ______ = ______ ______ – ______ = ______
c 9 + 3 = ______ d 11 – 5 = ______ 90 + ______ = ______ 110 – ______ = ______ ______ + ______ = ______ ______ – ______ = ______
15SUMMER MATH • WEEK 9 © Blake eLearning
WEEK 9 • DAY 5INCREASING TENS
1 Complete the patterns.
a 2 + 31 = _____ b 105 + 9 = _____ c 201 + 46 = _____
12 + 31 = _____ 105 + 19 = _____ 211 + 46 = _____
22 + 31 = _____ 105 + 29 = _____ 221 + 46 = _____
_____ + 31 = _____ 105 + _____ = _____ _____ + 46 = _____
_____ + 31 = _____ 105 + _____ = _____ _____ + 46 = _____
_____ + 31 = _____ 105 + _____ = _____ _____ + 46 = _____
2 Complete the patterns.
a 217 – 12 = _____ b 804 – 101 = _____ c 325 – 23 = _____
227 – 12 = _____ 814 – 101 = _____ 325 – 33 = _____
237 – 12 = _____ 824 – 101 = _____ 325 – 43 = _____
_____ – 12 = _____ _____ – 101 = _____ 325 – _____ = _____
_____ – 12 = _____ _____ – 101 = _____ 325 – _____ = _____
_____ – 12 = _____ _____ – 101 = _____ 325 – _____ = _____
3 Add 10 to the first number. 4 Add 10 to the second number.
26 + 313 = _____ 575 – 18 = _____
_____ + _____ = _____ _____ – _____ = _____
_____ + _____ = _____ _____ – _____ = _____
_____ + _____ = _____ _____ – _____ = _____
_____ + _____ = _____ _____ – _____ = _____
_____ + _____ = _____ _____ – _____ = _____
16SUMMER MATH • WEEK 9 © Blake eLearning
GARDEN PERIMETERS WEEK 9 • BONUS
1 Find the perimeter of each part of Anna’s garden. Each square = 1 yard sides.
a the pond ___________ b vegetable patch ___________ c the path ___________ d flower bed ___________ e the grass ___________ f the whole garden ___________
2 Design your own garden. Write the perimeters of all the sections.
Pond Grass
Path
Vegetable patch
Flower bed
________________________________________________________________________________________________________________________________________________________________
17SUMMER MATH • WEEK 9 © Blake eLearning
DOC’S NUMBERS WEEK 9 • BONUS
1 Doc wrote some clues for a number. The nearest hundred is 300. The nearest ten is 30. The number is even. What could the number be?
a Underline the question. b Circle the facts.
c Solve the problem using a number line. The nearest hundred is 300. Which numbers round up to 300? Which numbers round down to 300?
d The nearest ten is 30. Mark 30 on the number line.
e Let’s zoom in on that section of the number line. Which numbers round up to 330? Which numbers round down to 330?
f The number is even. Highlight the even numbers above.
g What could the number be? _______________________________
2 Write your own number clues. Can anyone in your family work out your number?
___________________________________________________________
___________________________________________________________
___________________________________________________________
300
330
18SUMMER MATH • WEEK 9 © Blake eLearning
WALDO’S WHOOPS WEEK 9 • BONUS
1 Waldo wrote out an addition pattern and a subtraction pattern. Whoops, he made some mistakes. Can you find the mistakes?
a Underline the question. b Circle the facts.
c Circle the mistakes below. d Explain your reasons for circling those numbers.
4 + 17 = 21
14 + 17 = 31 ___________________________________________
24 + 18 = 41 ___________________________________________
33 + 17 = 51 ___________________________________________
44 + 17 = 60
2 a Circle the mistakes below. b Explain your reasons for circling those numbers.
9 — 2 = 7 ___________________________________________
19 — 12 = 17 ___________________________________________
29 — 2 = 27 ___________________________________________
39 — 2 = 38 ___________________________________________
40 — 2 = 47
3 a Draw the next two dot shapes in this pattern.
b What is the matching number pattern? Continue it.
______ ______ ______ ______ ______ ______ ______
19SUMMER MATH • WEEK 9 © Blake eLearning
HANDS-ON: DIY FRACTION MANIPULATIVES WEEK 9 • BONUS
Cut up pool noodles to make stackable fractions.
Measure 1 whole at 30 in long. Two halves are 15 in each.
Three thirds are 10 in each. Four fourths are 7!2 inches each.
Fifths are 6 in each. Sixths are 5 in long.
Eighths are 3#4 in long. Tenths are 3 in each.
Cut paper plates into fractions of circles.
Cut one plate in half. Cut another in half and then in half again to make 4ths.
Cut another plate into 4ths and then cut each fourth in half to make 8ths.
Measure 120, 240, and 360 degrees with a protractor on a plate.
Cut those lines from the edge to the center to make 3rds.
Cut another plate into 3rds and cut each one in half to make 6ths.
Measure 72 degree intervals with a protractor around the edge of a plate.
Cut those 5 lines from the edge to the center to make 5ths.
Cut another plate into 5ths and cut each one in half to make 10ths.
Draw, label, and color in a fraction wall.
On an A4 sheet of paper, measure along the short sides every 25 mm.
Use a ruler to draw 8 straight lines across the sheet.
In the top section write 1 whole. The next section should be halves.
Draw a line at 150 mm, around the middle. Label each part !2.
In the third section draw a line every 99 mm to make 3rds.
In the fourth section draw a line every 74 mm to make 4ths.
In the fifth section draw a line every 59 mm to make 5ths.
In the sixth section draw a line every 49 mm to make 6ths.
The section after that gets divided every 37 mm to make 8ths.
And the last section gets divided every 30 mm to make 10ths.
Put the fraction wall up as a poster or cut it up to make
fractions you can move around.
20SUMMER MATH • WEEK 9 © Blake eLearning
That was terrific! Week 9 is finished.
You Rock!
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