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Repeated addition/Multiplication strategies

Word Problem A (an array)

In my garden, I planted 4/7/12 rows of vegetables. I plant 6/8/9 vegetables in each row. How many vegetables do I plant in my garden?

Strategy A (using 4x6)

1. Draw 4 rows and how many veg per row (6) https://docs.google.com/drawings/d/1ILhfsX-5H_uVwXPvI1RkdhKVyxcEFl1XNEdxUWIl6Tg/view

2. Count number of veg in each row

3. Count how many veg altogether

- by counting on from 6 (6,7,8,9...24)

- by counting in groups of 6 (6,12,18,24)

3. Say/write number sentence

"four rows of six"

4. Write repeated addition sum to represent four rows of six

6+6+6+6 = 24

5. Write multiplication sum to represent four rows of six

4x6 = 24

Word Problem B (equal groups)

I sell cupcakes in boxes of 3/6/9. I want to sell 5/8/11 boxes of cupcakes today. How many cupcakes do I need to bake to fill all the boxes?

Strategy (using 5x3)

1. Draw boxes (5) and how many cupcakes per box (3)
https://docs.google.com/drawings/d/1P6dn46adn38YmlGgIH3fnedH6W9mpeJgAV3TXVnQBqg/view

2. Count number of cupcakes in each box and count number of boxes

3. Count how many cupcakes altogether

- by counting on from 3 (3,4,5,...15)

- by counting in groups of 3 (3,6,9,12,15)

3. Say/write number sentence

"Five boxes of three”

4. Write repeated addition sum to represent five groups of three

3+3+3+3+3 = 15

5. Write multiplication sum to represent five groups of three

5x3 = 15

Word Problem C (cost per group)

I sell cupcakes for R10/R12/R25 per box. I sold 7/9/11 boxes this week. How much money did I make?

Strategy (using 7xR10)

1. Draw boxes (7) and how much money each box cost (R10)
https://docs.google.com/drawings/d/10LZx4bcRWHodtXITAL3Z-AXu5du2_hGiLy5Qy72D5bU/view

2. Count number of boxes

3. Count how much money altogether

- by counting on from 10 (10,11,12,...70)

- by counting in groups of 10 (10,20,...70)

3. Say/write number sentence

"Seven boxes for R10 each is seven groups of R10”

4. Write repeated addition sum to represent seven groups of R10

10+10+10+10+10+10+10 = 70

5. Write multiplication sum to represent seven groups of R10

7x10 = 70 / 7xR10 = R70

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Repeated Addition/Multiplication strategies
Voccabulary
1 Adding same numbers repeatedly.
2.  Equal groups of same things
3. Arrays
4.Rows of
5. Times
Questions
Mrs. Joe has 3 children. Yesterday she gave a packet of four sweets to each one.
1. Draw a picture which shows the number of children and the sweets each one got.
2. Write a repeated addition from this word problem.
3. How many sweets did Mrs. Joe buy altogether?

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Grade 3

Herhaalde optelling

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Felicia Billy Grade 1
Repeated Addition/Multiplication strategies
1. egual grouping,
2.adding same numbers repeatedly
3. Multiplication

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Christia Zonnestein (Smit)
Grade 2
Repeated Addition activity :
Q1: There is 3 baskets of fruit. In each basket there are 5 apples. Draw the baskets with fruit and count how many apples there are altogether. (strategy : equal groups)

Q2: I plant 4 rows of trees. There are 3 trees in each row. Draw the rows of trees. How many trees are there altogether? (strategy: arrays)

Q3: There are 5 dogs on the farm. I give each dog 2 treats. How many treats did they get altogether? (learners will plus 2+2+2+2+2) (strategy : repeated addition)

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Repeated addition: Multiplication strategies

1. Repeated addition
Question: One dog has 2 ears. How many ears will 3 dogs have? (learners will add the same number or skip count in 2s)

2. Arrays
Question: Dad plants flowers in the garden. He plants 4 rows of 5 daisies. How many daisies did he plant altogether?

3. Equal grouping
Question: John has 3 bags of oranges. There are 4 oranges in each bag. How many oranges are there altogether?

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Repeated Addition/Multiplication strategies

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Herhalende optelling en vermenigvuldiging strategie:
1. Optelling
2. Vermenigvuldiging
3. Herhalende optelling
4. "Skikkings" (arrays)
5. "Omgekeerde wiskunde" (Inverse math)
1.Woordsom
Daar is 4 rye bome, in elke ry is dar 5 bome. Hoeveel bome is daar altesaam?

1.1 Omkring jou "magic word" (die magic word se vir ons watter tipe som dit is, bv. plus,minus,maal of deel.
1.2 Omkring die getalle waarmee ons gaan werk, VIER rye bome en VYF bome in elke ry.
1.3 Teken jou rye bome 1,2,3,4.
1.4 Teken VYF bome in elke ry 1,2,3,4,5.
1.5 Die woord altesaam se vir ons dit is n plus som. Wat plus ons bymekaar? 5+5+5+5=20 OF 4 keer 5 (4x5=20)

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Vocabulary
Repeated
Equal groups
Arrays
Question 1 (Arrays)
Dad plants 3 rows of cabbage plants. In each row there are 2 cabbage plants. How many cabbage plants are there altogether?

Question 2 (Grouping)
Mom bakes 10 cookies. She puts 5 in every bag. How many bags can she fill?

Question 3 (Repeated addition)
How many eyes do 6 children have?

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https://docs.google.com/document/d/1-6XcalJCWqYMbQV4v4Jnm6ng8IcFbFzSWSPa1UCPVMQ/edit?usp=sharing

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1. Equal Groups
The farmer has 24 apples. He has to share those 4 apples equally amongst 6 bags. How many apples will each bag get?

2. Repeated Addition
The plants 3 seeds everyday for 5 days. How many seeds did he plant altogether?

3. Arrays
In our classroom we have 4 rows of desks. In each row there are 5 desks. How many desks are there altogether?

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Multiplication strategies:
1.  Repeated addition
2.  Equal groups
3.  + and x number sentences
4.  Number lines
5.  Arrays
Question 1  (Repeated addition)
How many legs do 12 dogs have?

Question 2 (Equal groups)
One egg carton helds 6 eggs.  The farmer has 36 eggs.  How many cartons can he fill?

Question 3 (Arrays)
In the vegetable garden are 7 rows of plants. In each row there are 5 cabbages. How many cabbages are there in the vegetable garden?

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Simonê Cyster - Grade 2

Vocabulary
Sum of
Addition
Equal
Groups of
Add on

Multiplication strategies

1. Repeated Addition
Ben ate 4 apples per day for 3 days. How many apples did he eat in total?

2. Arrays
On the playground we have 3 rows and in each row there is 4 balls. How many balls do we have in total?

3. Equal groups
Samantha has 12 sweets she needs to equally pack the sweets in bags for her three friends. How many bags will there be and how many sweets in a bag?

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Repeated addition & multiplication strategies.

1. Equavalent groups
*There are 3 reading groups in the Grade 2 B class. Each group has 5 learners. How many learners are there altogether?
2. Multiplicative comparison
*Sam eats 2 sweets a day. How many sweets does Sam eat in 4 days?
3. Arrays
*Granny has a vegetable garden. She has 4 rows of cabbage. In each row there are 3 cabbage. How many cabbage are there altogether?
[Learners may write 4 + 4 + 4 = 3 x 4 = 12 BUT this would be incorrect as the question clearly states 4 rows with 3 cabbage and NOT 3 rows with 4 cabbage]

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Grade 1 Teacher

Grouping

How many packets of sweets can I make if I have 12 sweets and I put 3 sweets in each packet?
3+3+3+3=

Arrays

There are 4 rows of trees with 2 trees planted in each row. How many trees are there altogether?
2+2+2+2=

Repeated addition

How many wheels do four bicycles have?

2+2+2+2=

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Repeated addition/ Multiplication

Question 1:
Five friends walk to the shop. Each friend buys 3 fizzy sweets. How many fizzy sweets did they buy altogether?

Solutions:
Draw arrays. 5 rows with 3 columns.
Repeated addition:
3+3+3+3+3= 15
Grouping
5 groups of 3
Multiplication
5x3= 15

Question 2:
In a spelling competition 4 competitors won 3 medals. How many medals were won altogether.

Solutions:
Draw arrays. 4 rows with 3 columns.
Repeated addition:
3+3+3+3= 12
Grouping
4 groups of 3
Multiplication
4x3= 12

Question 3:
Sarah's mom gives her 5 berries per day for snack at school. How many berries would Sarah eat per school week?

Solutions
Arrays:
5 rows of 5 columns
Repeated addition
5+5+5+5+5= 25
Equal groups
5 groups of 5
Multiplication
5x5= 25

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1 - EQUAL GROUPING
2 - REPEATED ADDITION
3 - MULTIPLICATION
4 - ARRAYS
5 -  + and x NUMBER SENTENCES

QUESTION 1 - (EQUAL GROUPING)
Kelly has 24 sweets and has to divide it equally between 4 friends. How many sweets does each friend get?
4 groups of 6

QUESTION 2 - (REPEATED ADDITION)
Kelly has 24 sweets and has to divide it equally between 4 friends. How many sweets does each friend get?
6 + 6 + 6 + 6 = 24
4 + 4 + 4 + 4 + 4 + 4 = 24

QUESTION 3 - (MULTIPLICATION)
Kelly has 24 sweets and has to divide it equally between 4 friends. How many sweets does each friend get?

6 X 4 = 24
4 X 6 = 24

QUESTION 4 - (ARRAYS)
The farmer makes 4 rows. In each row he plants 6 cabbages. How many cabbages did he plant?

QUESTION 5 - (NUMBER SENTENCES)
6 X 4 = 24
4 X 6 = 24

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Repeated addition and Multiplication strategies
Vocabulary
1. Repeated addition
2.Equal sharing
3.Arrays
1. Repeated addition
How many wheels do 20 bicycles have?
2. Equal sharing
Hannah has 15 cookies she needs to share it equally between 5 friends. How many cookies will each friend get.
3.  Array
Mr. Khumalo plants seven rows of cabbages. There are eight cabbages in a row.  How many cabbages are there altogether?

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Repeated addition/multiplication strategies.

1. Repeated Number Sentence
How many balls are there in the five  circles?  (Refer to image below)
2+2+2+2+2=10

2. Arrays
There are 5 circles how many balls are there in each circle? (Refer to image below)
5 Hula Hoop's and 2 balls in each Hula Hoop. This is used as concrete apparatus.

3. A number line
Learners jump 2 steps in the number line and circle it the answer up. This is repeated by the learner.

4.  Equal groups
First draw the picture 5 circles, then add 2 balls in each circle. The image below demonstrates the equal groups.

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Repeated addition/Multiplication strategies
Repeated Addition
There are 4 cars and each car have 4 wheels. How many wheels are there altogether?

Equal
Sam have 8 toys he wants to donate to his friends. He gave 4 toys to each of his friends. How many toys did he gave toys to?

Arrays
At our primary school there are 5 rows of classrooms each row has 4 classrooms. How many classrooms are there altogether?

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Repeated Addition.
A duck has 2 legs. How many legs do 4 ducks have?
2+2+2+2=8 legs
Grouping.
How many bags of apples can I make if I have 6 apples and there must be 2 apples in each bag.
2+2+2=6
The answer will be 3 bags of apples.
Arrays
There are 6 rows of sunflowers, in each row there is 2 sunflowers. How many sunflowers is there altogether?
2+2+2+2+2+2=12
There is 12 sunflowers.

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Mary Joshua grade 1
Repeated addition of 3
I tricycle has 3 wheels .How many wheels does 3 tricycle have?
3+3+3=9

We 5 fingers on 1 hand . How fingers do we have on 4 hands ?
5+5+5+5=20
Grouping
I have 10 oranges . I want to put it in 5 bags .How many oranges will go in each bag?
2 oranges in a bag makes 5 groups of 2

Number line
We jumping in twos.
How many times are we going to jump tongwtbto 10.
5 times
(2,2,2,2,2)
Arrays
We have 4 rows of bottle tops.
Each row have 4 bottle tops .
How many bottle tops do we have altogether?
4+4+4+4==16

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Grade 1

- repeated addition
How many wheels do 3 tricycle's have. { file below}
3 + 3 + 3 =

- equal grouping
There are 12 apples. If we put 3 apples in a bag. How many bags will there be.
3 + 3 + 3 + 3 = 12
4 bags

- number line
help the rabbit jump in 2's

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Create a new document and edit with others at the same time -- from your computer, phone or tablet. Get stuff done with or without an internet connection. Use Docs to edit Word files. Free from Google.

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Grade 2
Repeated addition
Vocabulary:  repeated addition, multiplication,  groups, arrays
The example is explained using concrete apparatus

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Graad 2

Woordeskat:
Herhaalde optelling
Rooster
Gelyke groepering
Vermenigvuldiging
Groepe van
Optelling

Vraag 1:
Daar is twee groepe van 5 skape in elke kraal. Hoeveel skape is daar altesaam?

Vraag 2:
Die Graad 2.1 klas besluit om ' groetetuin te begin. Hulle plant 4 rye wortels en in elke ry plant hulle 3 wortels. Hoeveel wortels het hulle altesaam geplant?

Vraag 3:
Daar is 2 meisies in die klas en elke meisie het 2 boksterte. Hoeveel boksterte is daar altesaam?

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Estelle Nel
Grade 1
(Answers in picture below)
1. Repeated addition of 2:
One child has 2 eyes. How many eyes do 3 children have?

2. Arrays:
John plants 3 rows of carrot plants. There are 5 carrot plants in one row. How many carrot plants is there altogether?

3. Grouping:
Rosy sells apples which are packed in bags of 3 each. She has 9 apples. How many bags with 3 apples each can she pack?

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1. Herhaalde optel
2. Gelyke groepering
3. Skikkings (arrays)

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1 car has 4 wheels. how many wheels will 4 cars have?

1. draw groups 4 of 4. Strategy grouping
2. show the repeated addition sum. Strategy repeated addition
3. show the multiplication sum. Strategy multiplication

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Repeated Addition/ Multiplication Strategies

Word Problem: A dog has 4 legs. how many legs does 5 dogs have altogether?

1. Show 5 groups of 4 (Equal grouping)
2. Write a repeated addition number sentence for the above. (Repeated addition)
3. Now write a multiplication number sentence (multiplication)

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Repeated Addition/ Multiplication strategies
* equal groups
* adding the same numbers
* multiplication

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Multiplication Strategies

1. Repeated Addition
Three friends have two dogs each. How many dogs do they have altogether?
2 + 2 + 2 = 6

2. Multiplication
It is time for de-worming. Each dog must eat 2 tablets. How many tablets do we need in total?
6 x 2 = 12

3. Even grouping
It is beach time. We are taking the dogs with 2 bakkies to our local beach. Each bakkie must be loaded equally. How many dogs can each bakkie be loaded with?

2 X 3 = 6

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Task 2.1 Felicia Billy
Repeated Addition /Multipication strategy
1.Equal grouping
2. Adding the same number repeatedly
3.Multiplication
Question
1.There are hree children each Child get one row with three blocks
How many blocks do one  child have?
3+3+3=
3*3
2.There are  four rows with  two blocks in it. How many blocks are there in each row?
2+2+2+2=
2*4=
3. Father buys  three pedal blocks  of bricks with four bricks in each pedal. How many bricks do Father have?
4+4+4=
3*4=
4. A bulider builds four  walls in a row,but He only used  five bricks in each wall. How many bricks have he uses to build each wall?
5+5+5+5=
5*4=

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Herhaalde optelling en vermenigvuldiging strategie:
1. Herhaalde optelling
2. Vermenigvuldiging
3.Skikkings-Arrays
4.  Omgekeerde Wiskunde
5. Gelyke groepe van dieselfde item

Woordsom Vraag 1 Herhaalde optelling
Daar is elf maats. Elkeen ry 'n driewielfiets. Hoeveel wiele is daar altesaam?
(Strategie):
1.1 Teken 'n prent van elf fietse met driewiele.
1.2 Skryf 'n herhaalde optelling som neer.
1.3 Wys 'n maklike manier om by die antwoord te kom. (vermenigvuldiging)

(3+3+3+3+3+3+3+3+3+3+3=33 wiele)
(11x3=33 wiele)

Woordsom Vraag 2-Omgekeerde Wiskunde/groepering
Vier maats verdeel 28 skulpe tussen hulle. Hoeveel skulpe kry elke kind?
1.1. Teken die vier maats en  verdeel  28 skulpe tussen hulle. (groepering)
1.2. Hoeveel skulpe kryf elke maat? Skryf 'n herhaalde optelling som.
1.3 Skryf 'n vermenigvuldige som.
(7+7+7+7=28 skulpe)
7 x 4 =28 skulpe
28/4=7

Woordsom Vraag 3- Skikkings (Arrays)
In die klas sit die leerders in 5 rye.   In elke ry sit daar 4 leerders. Hoeveel  leerders is daar in die klas?
1.1 Teken die 5 rye met die 4 leerders wat agter mekaar sit.
1.2 Maak gebruik van  'n vermenigvuldig som om jou prent te verduidelik.
1.3 Hoeveel leerders is in die klas? Skryf die antwoord.
4+4+4+4+4=20 Leerders
4x5=20 leerders

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Strategies

1. Repeated addition

2. + and X number sentences

3. Number line

4. Array

Question 1: How many wheels do 10 bicycles have? (Repeated addition or number line)

Question 2:  A farmer needs to plant 5 rows of cabbage , with 8 cabbages in each row. How many cabbages will she need?  (arrays and number sentences)

Question 3:  Seth spends R15 every day to get to school and back. How much money will he need for one school week? (+ and X number sentences)

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Felicia Jansen
Grade 1
Repeated addition
A truck has 4 wheels. How many wheels will 2 trucks have?
4 + 4= 8

Arrays
I plant 2 rows of potatoes. There are 5 potatoes in a row. How many potatoes in 2 rows?
5 + 5 = 10

Grouping
How many stars can I put in group if I have 10 stars and put 2 in 1 a group?
2 +2+2 +2 + 2 = 10

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Repeated addition: Multiplication strategies

1. REPEATED ADDITION
Beth has four cans. There are two sweets in each can. How many sweets does Beth have in total?
Draw a picture an write a number sentence

2.Equal Grouping
Mom has 5 bags of sweets. There are 3 sweets in each bag. How many sweet does Mom have in total?

3.Arrays
There are 3 rows of cookies. In each row there is 3 cookies. How many cookies are altogether?

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Charlene Patience

Grade 1

Equal grouping
Draw circles around the following to make 4 groups of 2.

Repeated addition
How many legs does 3 children have?

Arrays
Sam packed out 3 row of beads. There are 2 beads in each row. How many beads in 3 rows?

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Ms Ngundze

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Herhaalde optelling / Vermenigvuldiging tegnieke

Rooster
Herhaalde optelling
Gelyke groepe

Woordsom 1:
In ons klas is daar 4 rye banke. In elke ry is daar 5 banke. Hoeveel banke is daar altesaam?

Woordsom 2:
Ons is 9 maatjies in die klas. Elke maatjie het 2 potlode. Hoeveel potlode het ons altesaam?

Woordsom 3:
Ons het 3 lees groepe in ons klas. Daar is 7 kinders in elke groep. Hoeveel kinders is daar altesaam?

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Anja Louw
Grade 2
Vocabulary:
Equal groups
Arrays
Adding
Repeated add.
Share
Times

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Question 1 (Repeated addition)
Mom baked cookies for her 3 children. Each child got 5 cookies. How many cookies have mom baked altogether?

Question 2 ( Grouping)
Sarah has 24 sweets, she shares it equally between her 3 friends. How many sweets does each friend get?

Question 3 (Arrays)
There are 4 rows of learners sitting on the mat. On each row there are 3 learners seated, How many learner are seated on the mat?

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Strategy A (Repeated addition)
If one bicycle has two wheels then how many wheels are there altogether in three bicycles?
2+2+2=

Strategy B (Grouping)
Fill two trays of eggs with six eggs in a tray (half dozen trays). How many eggs do you have altogether?

Can be done with both concrete or abstract objects.

Numberline
On the number line, help Baby Frog to make three jumps of six to get to the other side of the lake?

three jumps: indicates the total number of jumps.
... of six: indication of how big each jump is.

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Problem Solving (word-sum) Strategy:

1.  Circle the  numbers  given in the story/word sum.

2.  Circle the keyword such as altogether.

3.  Indicate the calculation (symbol) that goes with the keyword.

4.  Draw a picture as part of your working to show how you got to  your answer. (Arrays, equal groups)

5. Write  the number sentence.

Questions:

1. Sam drinks  5 glasses of water everyday. How many glasses of water does he drink altogether for one week ( 7 days) ?

2. Ben plants 3 rows of trees. He plants 4 trees in each row. How many plants did he plant altogether?

3. Six friends each bought 2 cupcakes at the cake sale. How many cupcakes did they buy altogether?

Solution:

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Elizabeth Gouws Grade 1

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Elizabeth Gouws
Grade 1
Add and multyply

❤️❤️+❤️❤️+❤️❤️=6   2x3=6

📝📝+📝📝+📝📝
📝📝   📝📝  📝📝=12  3x4=12

🍿🍿+🍿🍿+🍿🍿 2+2+2=6  2x3=6

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Shareen Suan Manus
Repeated Addition/Multiplication strategies.
1. equal grouping
2.  arrays
3.  number sentences
4.  number lines
Questions
1.  Sarie have 30 sweets.  There are 6 children at her house.  How will I distribute the sweets?
Equal grouping: it means to group all the items in groups of 6. each group get 5 sweets.
equal groups = 6
counters in each group= 5
count from 5,10,15,20,30
question 2
arrays: its a group of items in rows and columns.

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Nicole Olckers Grade 1

1. Repeated Addition
There are 4 learners and each learners has 2 legs. How many legs do they have all together?
2+2+2+2=8

2. Equal Grouping
There are 12 lollipops and 4 learners. How many lollipops does each learners get?
3+3+3+3=12

3. Arrays
Noah planted 2 rows of flowers and each row has 3 flowers.
How many flowers does he have?
3+3=6

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Elane Moses Gr. 3 Repeated Addition

Mathematics Vocabulary
1 Repeated addition
2.Equal groups
3. + and ×
4.number sentences
5.number lines
6.arrays

Question 1
One cat has two ears. How many ears will 3cats have?
STRATEGY
- grouping
- arrays
-repeated addition
-Mutiplication
-number lines

Question 2
There are 3 baskets with 3 apples in each. How many apples altogether?
STRATEGY
-grouping
-arrays
- repeated addition
-Mutiplication
-number lines

Question 3
Mom bought 5 packets of oranges at the market. There are 4 oranges in each bag. How many  oranges altogether?
STRATEGY
-grouping
-arrays
-repeated addition
-Mutiplication
-number lines

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Task 2.1
1. Repeated addition
See picture below for answers.
There are four birds on a wire.
How many legs do they have
together?
2. Equal groups
Divide 12 apples in 4 equal
groups. How many apples are
there in a group.

3. Arrays
Grandpa plants 4rows of
flowers. There are 2
flowers in a row. How many
flowers are there in total?
Answers:
1. 2 + 2 + 2 + 2 = 8

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groups.  How many apples are
there in a group?

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flowers. There are 2 flowers in
a row. How many flowers are
there in total?
2 + 2 + 2 + 2 = 8

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Grade 2
Mathematical Vocabulary:
-Repeated Addition
-Arrays
-Grouping

Question 1
Repeated Addition:

If one chair has 4 legs. How many legs does 6 chairs have? (Kids, draw 6 chairs, with 4 legs, show the sum of 6X4=__ and 4+4+4+4+4+4=__ or draw 6 groups with 4 circles/objects inside the circle).

Question 2
Arrays:
The parking lot has 5 rows. In each row there are 7 cars parked. How many cars are there altogether?
(kids draw 5 rows of 7 cars in each row. Show the sum of 7 X 5=__ and 5+5+5+5+5+5+5=__).

Question 3
Grouping/multiplying

There are 3 friends. They each receive 3 sweets from their teacher as a thank you gift for cleaning the class. How many sweets did the teacher give away? (draw 3 friends and 3 sweets for each. Show the sum of 3x3=__ and or draw 3 groups with 3 circles in each group).

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Herhaalde optelling/vermenigvuldiging
1. Herhaalde optelling
2. Groepering
3. Roosters
Vraag 1:
Hoeveel wiele het 3 motors?
Vraag 2:
Juffrou gee vir 3 kinders elkeen 4 lekkers. Hoeveel lekkers is daar altesaam?
Vraag 3:
Pappa plant 4 blomme in 3 rye. Hoeveel blomme het hy altesaam geplant?

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herhaalde optelling wat lei tot vermenigvuldiging

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Repeated Addition/ multiplication strategies

1. Repeated addition

Farmer John has 4 boxes. In each box, there are 2 apples. How many apples are there altogether?

2. Equal groups

Sam has 3 bags, and he wants to put 3 marbles in each bag. How many marbles will Sam need?

3. Arrays

Granny baked cookies. There are 3 rows of cookies on the baking tray, and each row has 4 cookies. How many cookies are there in total?

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Equal Groups Multiplication Song _ Repeated Addition Using Arrays

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Herhalende optelling en vermenigvuldiging strategieë:
1. Optelling
2. Vermenigvuldiging
3. Herhalende optelling
4. "Skikkings" (arrays)
5. "Omgekeerde wiskunde" (Inverse math)

Vraag 1:

Daar is 5 kinders, elke kind het 10 vingers. Hoeveel vingers het al die kinders altesaam?

Teken 5 kinders se hande,elk met 10 vingers.

Daar is 5 groepe van 10.

10 + 10 + 10 + 10 + 10 = 10

5 x 10 = 50            of                10 x 5 = 50

Ons weet ook dan dat     50 ÷ 5 = 10    en     50 ÷ 10 = 5

Vraag 2:
Daar is 4 rye bome, in elke ry is daar 5 bome. Hoeveel bome is daar altesaam?

1.1 Omkring jou "magic word" (die magic word se vir ons watter tipe som dit is, bv. plus,minus,maal of deel.
1.2 Omkring die getalle waarmee ons gaan werk, VIER rye bome en VYF bome in elke ry.
1.3 Teken jou rye bome 1,2,3,4.
1.4 Teken VYF bome in elke ry 1,2,3,4,5.
1.5 Die woord altesaam se vir ons dit is n plus som. Wat plus ons bymekaar? 5+5+5+5=20 OF 4 keer 5 (4x5=20)

Vraag 3:

Daar is 6 pakkies appels, elk met 3 appels in ‘n sakkie. Hoeveel appels is daar altesaam?

Teken 6 pakkies appels, elk met 3 appels in.

Daar is 6 groepies van 3.

3 + 3 + 3 + 3 + 3 + 3 = 18

Ons kan  sien dat dit 6 keer 3 is.

6 x 3 = 18                 of               3 x 6 = 18

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Repeated Addition/Multiplication strategies
📍- Multiplication
📍- Repeated addition
📍- Equal groups
📍- Number lines
📍- Arrays
📍- + and x number sentences
STORY SUM 1:
Dad wants to grow carrots.  After preparing the ground he plants 24 carrot seeds.
QUESTION 1:
Draw how dad could plant the carrot seeds so that each row has the same number of carrot seeds.

1. Array

🥕🥕🥕🥕🥕🥕
🥕🥕🥕🥕🥕🥕

🥕🥕🥕🥕🥕🥕
🥕🥕🥕🥕🥕🥕
4 x 6 = 24
STORY SUM 2:
Peter owns 3 taxis. He can load 10 people in each taxi. How many people will be able to drive in Peter's taxis?
2. Multiplication / Addition
3 X 10 = 30
10 + 10 + 10 + = 30
STORY SUM 3

[5 x 5 = 25]

Write your own number sentence to make this sum true.

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Mariette Smith - Graad 2 Vermenigvuldiging

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Mariette Smith - Graad 2 Vermenigvuldiging

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Strategiee:
Teken groepies en tel
Rye en roosters
Herhaalde optelling en maalsom

Vraag 1:  Hoeveel vingers het 3 maatjies saam? Teken die vingers en tel om jou antwoord te kry.  Waarin het jy getel?

Vraag 2: In ons groentetuin het ons vier rye met 3 tamatie plantjies in elk. Hoeveel tamatie plantjies het ons altesaam?  Maak gebruik van 'n tekening en skryf 'n getalsin.

Vraag 3: Hoeveel pote het 4 koeie altesaam? Skryf 'n herhaalde optelsom en 'n maalsom.

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1.Repeated addition
2. Grouping
3. Arrays
Strategy 1: Repeated addition
There are three bees. Each bee has 2 wings. How many wings altogether? Draw your picture and write a number sentence for the wings.

Strategy 2: Grouping
Mom baked 15 cupcakes. She wants to sell it in packets. If she puts five cupcakes in a packet. How many packets can she make? Draw a picture and write the answer.

_______ packets

Strategy 3: Arrays

Look at the picture and answer the questions:

Jacob packs he’s cars in four rows.
How many cars are there in a row?   ___

How many cars are there altogether? ___

Write a number sentence for the cars. ____________________

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Repeated Addition/Multiplication
Vocabulary
1 Equal grouping
2 Repeated addition
3 Multiplication
4 Arrays
5 + and -
Problem
Mrs Smith bakes cupcakes for her five children. She gave each child three cupcakes. How many cupcakes did Mrs Smith bake altogether
Questions
1. Draw a picture which shows the number of children and the cupcakes each one get.
2. Write repeated addition from this word problem.
3. How many cupcakes did Mrs Smit bake altogether?
Strategy
1. Circle numbers in problem
2. Circle key words as many and altogether.
3. Find the calculation,  symbol that goes with key word.
4. Draw a picture to understand what you are doing.
5. Worksheet with more examples

3+3+3+3+3 =15 repeated addition
5 kids with 3 cupcapes equal groups
5*3=15 mutiplication
5*3=15/3*5=15 arrays

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Repeated Addition
1. Concrete.
Then learners count in two's.
Learners also have counters to put 2 counters in a group.

2. Semi-concrete.
Ask if they can see we can put them in a group.

🏀🏀 in one big circle.
🟪🟪 in one big circle.

3. Look at the pictures and add them up.
🏀🏀  🏀🏀  🏀🏀  🏀🏀
2    +    2    +    2    +    2    =    8
4 x 2 = 8          2 x 4 = 8

🟪🟪  🟪🟪  🟪🟪  🟪🟪  🟪🟪
2    +    2    +    2    +    2    +    2 =10
2 x 5 = 10          5 x 2 = 10

With grade 1 we will only look at the repeated addition and name the multiplication orally.

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1. Repeated addition
2. Grouping
3. Arrays

Strategy 1: Repeated addition
There are three bees. Each bee has 2 wings. How many wings altogether? Draw your picture and write a number sentence for the wings.

_______________________

Strategy 2: Grouping
Mom baked 15 cupcakes. She wants to sell it in packets. If she puts five cupcakes in a packet. How many packets can she make? Draw a picture and write the answer.

_______ packets

Strategy 3: Arrays
Jacob packs he’s cars in four rows. There are five cars in each row. How many cars does Jacob have? Draw your picture and write a number sentence for the cars.

____________________

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Bridget Basson
Repeated Addition/Multiplication strategies
Grouping:
There are 3 pot plants .In each pot plant there are 3 flowers. How many flowers are there altogether?

3+3+3+3+3+=15
Arrays:
Mother baked 10 cupcakes. She has 5 bags .How many cupcakes can she put in each bag.
2+2+2+2+2+10 (5x2=10)
Repeated Adding:
One dog has 2 eyes. How many eyes does 4 dogs have?
2+2+2+2=8
Grouping:

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Grade 3
Repeated addition
Equal groups
Grouping
Multiplication
Number lines
Arrays

Question 1
Joey has 5 bags of marbles.  Each bag has 5 marbles.  How many marbles does Joey have all together?

Question 2
A farmer planted lemon trees.  There is 6 trees in a row.  He planted 4 rows.  How many lemon trees did the farmer plant all together?

Question 3
One car has 4 weels.  How many weels will 3 cars have all together?

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Skill: Repeated addition leading to multiplication (term 2)
Problem-solving
Vocabulary (new words)
Strategies (way to solve the word problem)
Repeated Addition
x means groups of
Group 1:
Mrs Hewu bought 6 boxes of pencils.  Each box contains 12 pencils.  How many pencils does she have in total?

Group 2:
The school secretary orders 5 boxes of paper.  There are 5 reams of paper in each box.  How many reams of paper are there in total?
Group 3:
There are 5 netball teams at the school.  In each team there are 11 players (including the reserves).  How many girls at the school play netball or the teams?

Possible answers:
Group 1
Repeated addition:
12+12+12+12+12+12=72
Multiplication
6x12=72
6x10=60
6x2=12

Group 2
Repeated Addition
13+13+13+13+13=65
Multiplication
5x13=65
5x10=50
5x3=15

Group 3
Repeated Addition
11+11+11+11+11=55
Multiplication
5x11=55
5x10=50
5x1=5

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1. Repeated addition:
1 Bicycle has 2 wheels. How many wheels does 3 bicycles have?
2+2+2=6 wheels
2. Grouping:
Ben has three jars. He wants to put 2 marbles in a jar. How many marbles does he need to fill the three jars with 2 marbles each?
2+2+2=6
3. Arrays:
Tom the farmer plants potatoes. There are 3 rows with 3 potatoes in a row. How many potatoes did Tom plant?
Learners can draw this.
3+3+3=9 (3x3)

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Tuleka Tose grade 3.

Question 1 (arrays).
There are 5 rows with 10 plants in a garden. How many plants are there in total?
Learners will have to multiply the number of rows by the number of plants in each row so its 5 x 10 = 50.

Question 2. (equal groups)
4 grade 3 learners visited a farm, the farmer gave them 20 seedles to try and plant at home. How many seedles will each learner receive?
They have to group the seedles equally among the 4 learners. This can be done through one to one distribution.

Question 3 (repeated addition)
Ken brings 5 color pens to class, Nomsa brings her 5 pens and Vincent also brings 5. How many pencils do they have altogether?
Learners have to make a number sentence for repeated addition. 5 + 5+ 5 = 15.

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1. Repeated addition:
A car has 4 wheels. How many wheels do 4 cars have.
4+4+4+4 =16 wheels.

2. Arrays:
I plant 3 rows of potatoes. There are 5 potatoes in a row. How many patatoes is in 3 rows.
5+5+5= 15 ( 5 x 3)

Groupings
How many hearts can I put in a group if I have  8 hearts and put 4 in a  group.
4x2 =8

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Elena Allers Graad 2 - Herhaaldelike optelling

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Elena Allers Graad 2 - Herhaaldelike optelling

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Herhaaldelike optelling lei na vermenigvulging

Woord probleem 1: (Herhaaldelike optelling)
Daar ry kinders fiets skool toe. By die skool staan daar vandag 6 fietse. Hoeveel wiele is daar altesaam?
🚲  🚲  🚲  🚲  🚲  🚲
2  +   2  + 2  + 2  + 2  + 2   = 12
Daar is 12 wiele altesaam.
Woord probleem 2: (Rye en reekse)
Daar staan twee rye kinders buite die klas. In elke ry is daar 11 kinders. Hoeveel kinders staan daar altesaam buite die klas?
👧👧👧👧👧👧👧👧👧👧👧👦👦👦👦👦👦👦👦👦👦👦
2 + 2+ 2+ 2+ 2+ 2+ 2+2+ 2+ 2+ 2 =
22 kinders staan buite die klas.
11 groepe van 2 kinders  =  22
11   keer   2  =  22
11 x 2 = 22
Woord probleem 3: (Groepering)
Daar le 50 piesangs op die tafel. Ek moet 10 piesangs in 'n sakkie sit. Hoeveel sakkies het ek nodig?
🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌
10 + 10 + 10 + 10 + 10 = 50
Ek het 5 sakkies nodig vir al die piesangs.
5 sakkies van 10 piesangs = 50
5     keer      10   =     50
5       x         10   =    50

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Vocabulary:

Repeated addition

Equal grouping

Skip counting

Strategies for Multiplication:

Introducing repeated addition using a number line

As learners are already used to using a number line for basic addition and subtraction sums, it is a good introduction to repeated addition as they can see the bunny repeatedly hopping equally sized hops (see Grade 2 Maths DBE Book 1 pg. 40 as pre-knowledge). The bunny hops over two numbers consecutively (repeatedly).

Practicing repeated addition with equal groups (concrete apparatus)

During number concept development learners will be asked to draw 2/3/4/5 circles (groups) on their whiteboards and use their counters (beans, macaroni, beads or buttons) to make 2/3/4/5 groups of 2/5/10.
As soon as equal concrete groups have been made, learners will be asked to write down a number sentence, using the amount of counters and groups. Once learners have grasped the concept of repeated addition; they can be introduced to changing the addition number sentence into a multiplication number sentence.

Consolidating repeated addition leading to multiplication (DBE books)

For further practice and consolidation of the concept, learners will be asked to complete activities such as pg. 60 & 61 in their DBE workbooks.

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Training Resources_Repeated addition on a number line.PNG

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Teresa Crowley Grade1

Repeated Addition/Multiplication Strategies

EQUAL GROUPING
Mother shares 12 biscuits between 3 children. How many biscuits does each child get?

REPEATED ADDITION
How many wheels do 3 cars have?

ARRAYS
Dad plants flowers. He plants 3 rows with 4 flowers in each row. How many flowers did he plant altogether?

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Strategies
1. Reapeated addition
2. Equal groups
3. Arrays

Question 1: There are 3 tables, one table has 4 legs. How many legs are there all together?
4+4+4= 12

Question 2: There are 5 groups of balls, each group has 3 balls. How many ball are there in all?
5 x3=15 or 3 x 5= 15

Question 3: write a multiplication sentence for each array.

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Repeated Addition leading to multiplication

1. Repeated Additon

2. Equal groups

3. Arrays

1. Repeated Additon

A flower has 4 petals. How many petals do 3 flowers have?

4 + 4 + 4 = 12

3 x 4 = 12

2. Equal groups

There are 5 bags. Each bag has 3 sweets. How many sweets altogether?

3 + 3 + 3 + 3 + 3 = 15

5 x 3 = 15

3. Arrays

Mom has 4 egg boxes. In each box there are 6 eggs. How many eggs altogether?

6 + 6 + 6 + 6 = 24

6 x 4 = 24

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Repeated Addition / Multiplication strategies

Vocabulary
1. Repeated Addition
2. Number lines
3.Equal groups
4. Multiplication
5. Arrays

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Introducing multiplication strategies: https://docs.google.com/document/d/1yCxdBsGTKQ9tsLyKUrxCskPD6Kbx0j25DlJX8i3krkg/edit?usp=sharing
Step 1: Learners are introduced to groups of 2 : 3 groups of 2 = 6 (Learners draw 3 circles and in each circle draw 2 circles) ( I encourage this to be done on the mat using playdough and a whiteboard,
GROUPING / REPEATED ADDITION
QUESTION 1: There are 3 boys and each boy gets 2 marbles. How many marbles are there altogether?

Learners draw the answer and write  3 groups of 2  which then they can write the number sentence:

2 + 2 + 2 = 6

3 times 2 =

3 X 2 = 6

question 2 :   There are 4 bicycles. How many wheels are there altogether?
-drawing
-repeated addition
- groups of __
-__ X __ =

Question 3:
There are 5 bags and in each bag there are 3 apples. How many apples altogether?

-drawing
-repeated addition
-number line
- groups of __
-__ X __ =

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Kim Botha
Grade 1
*S ee picture below

1. Repeated addition
Mom has 5 smiley face stickers. How many eyes are there all together?
2+2+2+2+2 = 10 eyes

2. Equal grouping
Teacher has 15 pencils and 3 bags. How many pencils can 1 bag take?
5+5+5 = 15
Each bag has 5 pencils

3. Arrays
John plants 2 rows of flowers. Each row has 4 plants. How many flowers does he have all together?
4+4 = 8 flowers

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Repeated addition/multiplication strategies:
* equal grouping
* multiplication
* repeated addition
* arrays
* number sentences (+ and x)

Question 1: (arrays)
Mrs May planted 6 rows of flowers in her garden. In each row she planted 4 flowers. How many flowers did Mrs May plant in her garden?
6 x 4
4 + 4 + 4 + 4 + 4 + 4 = 24 (learner to draw rows with each flower)
Mrs May planted 24 flowers in her garden.

Question 2: (equal grouping)
Jimmy has 15 biscuits and has to share them equally between his 3 friends. How many biscuits will each friend get?
5 + 5 + 5 = 15
Each friend will get 5 biscuits.

Question 3: (repeated addition)
How many wheels do 3 cars have?
3 x 4
4 + 4 + 4 = 12
Three cars have 12 wheels.

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Repeated Addition
1.How many legs does 2 dogs have?
4 + 4 = 8
2.How many legs does 3 dogs have?
4 + 4 + 4 = 12
3.How many legs does 5 dogs have?
4 + 4+ 4 + 4 + 4=20

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Repeated addition

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At the end of this lesson, students should be able to

Multiply numbers by adding them.

Add numbers up to make its multiple.

The sign '×' means multiply or times.

2 × 2 means two multiplied by two or two times two.

Let's use addition to do this example.

3 × 2

It is read as "3 times 2 equals 6"

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Lesson 1 - Multiplication as Repeated Addition

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At the end of this lesson, students should be able to Multiply numbers by adding them. Add numbers up to make its multiple. The sign '×' means multiply or times. 2 × 2 means two multiplied by two or two times two. Let's use addition to do this example.

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Equal Groupings

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Reviewing how to solve a division word problem by making equal groups

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ARRAYS

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Repeated Addition and grouping in grade 1: Gerda-Mari Darby

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Repeated Addition and grouping in grade 1: Gerda-Mari Darby

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Question 1:
I have 4 bags of marbles.  There are 2 marbles in each bag.  How many marbles do I have all together?
Differentiation:
LA Group: Use concreate materials. MA Group: Draw the groups (simi-concrete)
HA: Write sum using number symbols 2+2+2+2 =8  Learners may also choose to skip count to get answer.
Question 2
How many legs does 4 hens have?
LA: Learners many want to draw the pictures and then count the legs one at a time.
MA: Learners may still draw, but would attempt to skip count to get total.
HA learner would write sum using symbols.
Challenging related question would be showing a picture where you can only see the legs sticking out (e.g. from behind a cart) and asking them how many chickens there are in the picture by only grouping the legs.
Question 3 Arrays
1.  Show learners a picture showing 4 rows of 5 carrots.  Ask learners how by they will work out how many plants there are in the garden.
Explore learners number sentence ideas looking at different abilities e.g. 4+4+4+4+4= or 5+5+5+5 or 4x5 or 5x4
2. If the farmer would want sell his carrots how many should he place in a bunch? (Learners could explore different grouping)
3.  the number 4 could also be explored  as two groups of 2 if learner is more able at counting in 2's.

Give learners counters and ask to them to organise their counters in arrays to help them count. Explore and represent your calculations using concrete / semi-concrete or Abstract methods depending on ability.

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CAN YOU PLEASE PUT YOUR NAME AND SURNAME ON THE  ABOVE POST!

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CAN YOU PLEASE PUT YOUR NAME AND SURNAME ON THE  ABOVE POST!

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1. Repeated Addition
Miss Dolly's class has 7 groups with 4 learners in each group. She asked each learner to bring a sandwich for fund raising. How many sandwiches will her class bring altogether?

__ + __ + __ + __ + __ + __ + __ = __

2. Equal groups
Makhulu bought 12 cherries for her 4 grand children. She wants them to share equally. How many cherries will each child get? Write down the division equation.

_____ ___ _____ = _____

3. Arrays
Siya's father sells watches. He has displayed them in the picture below. Write down the multiplication sentence that is shown in the display.

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1. REPEATED ADDITION
One child has 2 ears. How many ears do 4 children have?
Low ability: Use learners in class to concretely show 4 children's ears. Provide picture and counters. Assist with making a number sum. Show learners that counting in 2s is a faster way of getting to the same answer.
M ability: learners draw their own picture or out of their own use counters. write the number sentence themselves with very little impute eg. is it an addition or subtraction sum? how many times are you adding the number of ears? once picture is drawn encourage learners to count in 2s
H ability:  learners immediately write  a number sum for the word problem, without teachers help. They are still allowed to draw a picture.

2. EQUAL GROUPING
Mom has 4 lunch boxes. She wants to put 2 apples in each box. How many apples will she need?
Low ability: provide concrete objects to represent the apples. Use pictures and counters. Assist with making a number sum. Show learners that counting in 2s is a faster way of getting to the same answer.
M ability: learners draw their own picture or out of their own use counters. Write the number sentence themselves with very little impute eg. Is it an addition or subtraction sum? how many times are you adding the number of apples? once picture is drawn encourage learners to count in 2s
H ability:  learners immediately write  a number sum for the word problem, without teachers help. They are still allowed to draw a picture.

3. ARRAYS
I planted 2 rows of cabbages. There are 4 cabbages in each row. How many cabbages have I planted all together?
Low ability: provide concrete objects to represent the cabbage. Use pictures and counters. Assist with making a number sum.
M ability: learners draw their own picture or out of their own use counters. Write the number sentence themselves with very little impute eg. Is it an addition or subtraction sum? how many times are you adding the number of cabbages?
H ability:  learners immediately write  a number sum for the word problem, without teachers help. They are still allowed to draw a picture.

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Video Lesson - Introduction to Repeated addition