Number Facts in Seven Days by Teacher Superstore

RIC-6027 3.1/85

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Number facts in seven days Foreword Students need certain facts at their disposal when doing mathematics, such as the addition facts to 20 and multiplication facts. Research shows that children’s instant recall of these basic number facts will only progress from short-term memory (easily forgotten) to the long-term memory through constant practise and reinforcement. Number facts in seven days offers an easy-to-follow systematic program to promote the learning of these essential number facts. Easily incorporated into any weekly program, teachers introduce the facts, which are then reinforced at home. Letters to parents are included in the book, which clearly state the facts to be practised that day.

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Strategies are included to help reduce the number of facts to be learned. Students will be happy to know that only thirty-six times tables need to be memorised to master all of the multiplication tables!

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Contents

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Number facts in seven days is an ideal mathematics support program, which allows students to achieve instant recall and understanding of number facts. Students will enjoy challenging both themselves and each other, as they work towards learning the set of number facts for each day.

Teachers notes ............................................................................................................ ii – vi

Addition table of facts – Table 1 .....................................................................................vi Multiplication table of facts – Table 2 .............................................................................vi Blank addition table – Table 3 ........................................................................................vii Blank multiplication table – Table 4 .............................................................................. viii Addition facts in seven days ......................................................................................... 1

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Addition facts – Teachers notes ............................................................................. 2–5 Addition facts – Tests.............................................................................................. 6–11 Addition facts – Final tests ................................................................................... 12–15

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Addition facts – Letters ........................................................................................ 16–21

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Addition facts – Tables ............................................................................................... 22

Multiplication facts in seven days ............................................................................... 23 Multiplication facts – Teachers notes ................................................................. 24–27 Multiplication facts – Table 1 .................................................................................... 28 Multiplication facts – Table 2 .................................................................................... 29 Multiplication facts – Table 3 .................................................................................... 30 Multiplication facts – Lessons ............................................................................. 31–37 Multiplication facts – Letters ............................................................................... 38–44 Multiplication facts – Final tests ......................................................................... 45–49 Multiplication facts – Tables ...................................................................................... 50 Answers ...................................................................................................................... 51–52

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Number facts in seven days

Teachers notes Facts for seven days is divided in to two sections: • Addition facts in seven days • Multiplication facts in seven days. Each section includes teachers notes, activity sheets, letters to parents and assessment tasks.

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Addition facts in seven days

A corresponding letter is sent home with the students. Parents are involved in the practise and reinforcement stage of the program.

Students are tested the following day on newly learned facts. Previously learned facts are also included and reviewed in the test.

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Teachers notes clearly state the facts to be introduced and learned each day.

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Students are introduced to the facts by completing a blank addition table. Patterns and families are discussed.

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Teachers notes Multiplication facts in seven days

r o e t s Bo r e p ok u S Teachers notes clearly state the facts to be introduced and learned each day.

Students complete an activity page that includes the new facts and reviews previously introduced facts. Strategies are taught to help reduce the number of facts to be learned— students need only learn four new facts to master the four times table.

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Students are introduced to the facts by completing a blank multiplication table. Patterns and rules are discussed.

A corresponding letter is sent home with the students. Parents are involved in the practise and reinforcement stage of the program.

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Assessment

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o c . che e r o t r s super Students complete ﬁnal assessment tasks to monitor the facts learned and to discover which facts require further practise. Tests can be given periodically to keep the facts fresh in the students’ minds.

Once a student has mastered the facts, use a timer to record speed and accuracy. Challenge students to improve on their results each time a test is taken. Choose from the three multiplication tests included.

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Number facts in seven days

iii

Teachers notes One of the most important skills students need is a mastery of the basic computational skills. All people require the ability to mentally compute basic addition and multiplication facts quickly and accurately. It is also very important for students to understand all they can about addition and multiplication and how they relate. Students should use manipulatives to help them reinforce their understanding of the concepts. This book does not purposely mean to address the use of manipulatives, but students need to experience the concepts involved prior to memorising facts.

r o e t s Bo r e p that is accepted as true. In mathematics okthere are A fact is a piece of u information many facts that students are required to learn. Hopefully they will already have some S understanding of the facts and what they mean. In mathematics, facts are usually

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Firstly, I would like to distinguish between a fact and an algorithm.

memorised. Some examples of math facts are addition facts, multiplication facts and deﬁnitions.

An algorithm is a systematic method to solve a problem … a rule. While algorithms use facts, there is a difference between the two.

Let us look at some examples:

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Students are taught to solve this problem by adding 8 + 4 = 12 (a fact). Then, to add 2 + 3 (really 20 + 30) and get 5 (really 50). 2 + 3 = 5 is a fact. Then 12 + 50 = 2 + 0 (a fact) and 1 + 5 = 6 (a fact), to get 62.

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It is also a fact that 12 is equal to 10 + 2 and 50 is equal to 5(10) + 0. But the procedure used in solving this problem is the algorithm. One can see from this example that all addition facts and all multiplication facts are single digits less than ten.

o c . ch 9 x 12 = 108 is an algorithm involving the facts 9 x 2 and 9 x 1 (the 1 e being in 10s place), r er o yielding 18 + 90 = 108. t s super Therefore, it is never necessary to memorise +

12 x 13 etc., because this product is produced by an algorithm. It is helpful for students to complete a blank addition or multiplication table themselves, providing them with a better understanding of how to read these tables (See Table 3, page viii and Table 4, page ix). iv

Column

0 Row 1

(1+3)

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Teachers notes Students can use any method they wish to complete the table, but you may need to point out that where a column and a row intersect is where the sum or product is placed. Younger students may use manipulatives such as Unifex® cubes, or counting on their ﬁngers to ﬁnd the sums.

r o e t s Bo r 5 e p• • • ok • u• S • • • • • 3 x 5 = 15 •

•

Curriculum links

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Older students may also use manipulatives or arrays to ﬁnd sums or products. For example, an array of dots that is 3 x 5 would contain 15 dots.

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Number facts in seven days

Addition table of facts

Table 1

9 10

9 10 11

9 10 11 12 13 14 15 16

9 10 11 12 13 14 15 16 17

9 10 11 12 13 14 15 16 17 18

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9 10 11 12 13 14 15

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6 t 7o 8 9 10 11 12 r e s B r e 4 5 6 7 8 9 10 11 o 12 o 13 4 p u k 5 6 7 8 9 10 11 12 13 14 5S

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2 0 2 4 6 8 10 12 14 16 18 . te 3 0 3 6 9 12 15 18 21 24 27 o c 4 8 12 16 20 24 28 32 e 36. 4 0c her r o t s 20p 25 35 40 45 su 5 0 5 10 15 e30r

6 12 18 24 30 36 42 48 54

7 14 21 28 35 42 49 56 63

8 16 24 32 40 48 56 64 72

9 18 27 36 45 54 63 72 81

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Blank addition table

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2 3 4 5

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Table 3

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Number facts in seven days

vii

Table 4

Blank multiplication table

2 3 4 5

viii

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6 7

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Number facts in seven days

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Addition

2 3 4 5 1 2 6 7 3 4 8 9 5 2 3 6 10 7 4 5 8 9 6 7 10 11 3 4 8 9 5 6 10 11 7 8 4 5 12 9 6 7 10 11 8 12 13 5 6 9 10 7 8 11 12 9 10 13 14 6 7 11 12 8 9 13 14 10 11 7 8 15 1 2 9 10 1 3 1 4 15 11 12 8 9 1 16 13 14 0 11 1 5 16 12 13 9 10 1 17 14 15 1 12 1 6 1 3 14 17 18 10 11 15 1

2. 2 + 3 =

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facts in seven days r o e t s Bo r e p ok u S + 1

3. 2 + 4 = 4. 2 + 5 =

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2 13 16 17 14 15 18 19 16 17 18 19 : 20 rise o m e 2, m y a D =8 6 + 2 =8 4+4 =9 3+6 =8 3+5 =9 7 + 2 =9 4+5 and s t n e ar e to p m o h er B w Day 1. t t e L revie Send

6. 3 + 4 = 7. 2 + 6 =

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Facts in seven days

8. 3 + 5 =

10. 2 + 7 = 11. 3 + 6 =

Addition Facts

Teachers notes

Students experiment with manipulatives when ﬁnding sums. Finding ‘families’ of facts equal to a speciﬁc number is a great way to complete a blank addition table (Table 3, page viii) and also helps students understand how this system works. Suppose we use two different colours of Unifex® cubes and make sets equal to 6. We could get:

r o e t s Bo r 2e red + 4 yellow (6 cubes) p3 red + 3 yellow (6 cubes) ok u S 4 red + 2 yellow (6 cubes)

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1 red + 5 yellow (6 cubes)

5 red + 1 yellow (6 cubes)

Regardless of how we do it, they all produce a total of 6. While 1 red and 5 yellow is different than 5 red and 1 yellow, each produces a total of 6 cubes. Therefore, it is clear that if we are only interested in the sum of the two sets, then 1 + 5 = 5 + 1 = 6 etc.

© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y• List all the patterns the students can ﬁnd and discuss them with the class. The students may not After students have completed their own addition tables, give them Table 1 (page vii) and have them check their work. Follow this by asking students to examine their tables and look for patterns.

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Circle all sums of 1 and record: 1 + 0 = 0 + 1 sums of 1 Circle all sums of 2 and record: 2=0+2=1+1=2+0 Circle all sums of 3 and record: 3=0+3=1+2=2+1=3+0 Circle all sums of 4 and record: 4=0+4=1+3=2+2=3+1=4+0 Circle all sums of 5 and record: 5=0+5=1+4=2+3=3+2=4+1=5+0 Circle all sums of 6 and record: 6=0+6=1+5=2+4=3+3=4+2=5+1=6+0

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discover the following patterns, so you may need to point them out.

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Addition Facts

Teachers notes

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Circle all sums of 7 and record: 7=0+7=1+6=2+5=3+4=4+3=5+2=6+1=7+0 Circle all sums of 8 and record: 8=0+8=1+7=2+6=3+5=4+4=5+3=6+2=7+1=8+0 Circle all sums of 9 and record: 9=0+9=1+8=2+7=3+6=4+5=5+4=6+3=7+2=8+1=9+0 Circle all sums of 10 and record: 10 = 1 + 9 = 2 + 8 = 3 + 7 = 4 + 6 = 5 + 5 = 6 + 4 = 7 + 3 = 8 + 2 = 9 + 1 Circle all sums of 11 and record: 11 = 2 + 9 = 3 + 8 = 4 + 7 = 5 + 6 = 6 + 5 = 7 + 4 = 8 + 3 = 9 + 2 Circle all sums of 12 and record: 12 = 3 + 9 = 4 + 8 = 5 + 7 = 6 + 6 = 7 + 5 = 8 + 4 = 9 + 3 Circle all sums of 13 and record: 13 = 4 + 9 = 5 + 8 = 6 + 7 = 7 + 6 = 8 + 5 = 9 + 4 Circle all sums of 14 and record: 14 = 5 + 9 = 6 + 8 = 7 + 7 = 8 + 6 = 9 + 5 Circle all sums of 15 and record: 15 = 6 + 9 = 7 + 8 = 8 + 7 = 9 + 6 Circle all sums of 16 and record: 16 = 7 + 9 = 8 + 8 = 9 + 7 Circle all sums of 17 and record: 17 = 8 + 9 = 9 + 8 Circle all sums of 18 and record: 18 = 9 + 9

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. te o Looking at the sentences we recorded, it is obvious that there are a number of facts that are the c . c eknow one fact we know same except for their order. For example, 3 + 4 = 4 + 3, and oncer we h e o r both. st super This is called the Commutative Principal of Addition, and reduces the actual number of facts we need to memorise from 100 to 55.

Furthermore, since any number + 0 equals that number (9 + 0 = 9), and any number plus one equals the next counting number, we don’t really need to memorise those sums either. This cuts the total amount of memorised addition facts to 36.

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Number facts in seven days

Addition Facts

Teachers notes

4 =2+2 5 =2+3 6 = 2 + 4= 3 + 3 7 = 2 + 5= 3 + 4 8 = 2 + 6= 3 + 5 = 4 + 4 9 = 2 + 7= 3 + 6 = 4 + 5 10 = 2 + 8 = 3 + 7 = 4 + 6 = 5 + 5 11 = 2 + 9 = 3 + 8 = 4 + 7 = 5 + 6 12 = 3 + 9 = 4 + 8 = 5 + 7 = 6 + 6 13 = 4 + 9 = 5 + 8 = 6 + 7 14 = 5 + 9 = 6 + 8 = 7 + 7 15 = 6 + 9 = 7 + 8 16 = 7 + 9 = 8 + 8 17 = 8 + 9 18 = 9 + 9

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This means that the number of facts necessary to memorise are limited to the following ‘families’:

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Day 1, memorise:

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To make the memorisation process more organised, the following seven day plan is suggested: Day 2, memorise:

. t 2+4=6 4+4=8 e o c 3+3=6 3+6=9 . ce e 2+3=5 h 3o +5r =8 t r s s r u e p 2+5=7 2+7=9

2+2=4

2+6=8

3+4=7

4+5=9

Send Letter A home to parents.

Send Letter B home to parents and review Day 1.

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Addition Facts

Teachers notes

Day 3, memorise:

Day 4, memorise:

2 + 8 = 10

3 + 9 = 12

4 + 6 = 10

4 + 9 = 13 r o e t s B r e o 6o + 7 = 13 p 3u + 7 = 10 4 + 8k = 12 S5 + 5 = 10 6 + 6 = 12 5 + 7 = 12

2 + 9 = 11

3 + 8 = 11

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4 + 7 = 11

5 + 8 = 13

5 + 6 = 11

Send Letter C home to parents and review Days 1 and 2

Send Letter D home to parents and review Days 1, 2 and 3

7 + 9 = 16

7 + 7 = 14

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8 + 9 = 17

7 + 8 = 15

8 + 8 = 16

6 + 8 = 14

9 + 9 = 18

6 + 9 = 15

o c . Send Letter Ec home to parents and Send Letter F home to parents and e h r review Days 1, 2,e 3 and 4 review oDays 1, 2, 3, 4 and 5 r st super On the seventh day, test all facts randomly. (See ﬁnal test A, B, C, or D.)

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Number facts in seven days

Addition Facts

Test for day 2

Complete the following.

1. 1 + 2 =

r o e t s Bo r e p ok 12. 0 + 3 = u S

3. 3 + 4 =

13. 3 + 2 =

4. 2 + 2 =

14. 3 + 1 =

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2. 2 + 3 =

11. 4 + 0 =

5. 3 + 3 =

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7. 2 + 4 = 8.

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9. 1 + 4 = 10. 5 + 1 =

16. 1 + 5 = 17. 5 + 2 =

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6. 2 + 5 =

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20. 4 + 2 =

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Addition Facts

Test for day 3

Complete the following.

1. 4 + 5 =

3. 2 + 5 =

15. 6 + 1 =

4. 2 + 7 =

16. 7 + 2 =

5. 2 + 3 =

17. 8 + 0 =

7. 3 + 5 =

19. 3 + 3 =

8. 3 + 6 =

20. 6 + 3 =

9. 2 + 4 =

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21. 2 + 6 =

11. 7 + 2 =

23. 2 + 3 =

12. 6 + 2 =

24. 2 + 7 =

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r o e t s B r e o= 2+2= p 14. 3 + 6o u k S

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13. 5 + 4 =

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o c . e 10. 5 + 3 = c 22. 4 + 5 = her r o t s super

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Number facts in seven days

Addition Facts

Test for day 4

Complete the following.

1. 5 + 5 =

3. 4 + 6 =

r o e t s Bo r e 14. 2 + 3 = o p u k S

4. 4 + 4 =

16. 2 + 9 =

5. 3 + 7 =

17. 3 + 5 =

7. 4 + 2 =

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8. 4 + 3 =

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9. 5 + 6 =

10. 5 + 2 =

19. 3 + 8 = 20. 4 + 5 =

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15. 8 + 3 =

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2. 2 + 6 =

13. 3 + 6 =

o c . che e r o t r 22. 4 + 2 = s super 21. 4 + 7 =

11. 8 + 2 =

23. 3 + 3 =

12. 9 + 2 =

24. 5 + 5 =

Number facts in seven days

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Addition Facts

Test for day 5

Complete the following.

1. 3 + 5 =

4. 6 + 4 =

17. 3 + 8 =

5. 4 + 9 =

18. 5 + 8 =

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r o e t s B+ 2 = r e 3+7= p 15. 9o ok u S 5+7= 16. 6 + 6 =

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14. 4 + 8 =

20. 5 + 3 =

8. 7 + 2 =

21. 7 + 6 =

9. 6 + 5 =

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22. 4 + 7 =

12. 8 + 5 =

25. 5 + 4 =

13. 4 + 4 =

26. 3 + 3 =

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7. 9 + 2 =

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6. 6 + 7 =

o c . che e r o t r s9 + 3 = super 11. 6 + 3 = 24. 10.

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23. 9 + 4 =

Number facts in seven days

Addition Facts

Test for day 6

Complete the following. 1. 6 + 9 =

15. 3 + 5 =

2. 9 + 5 =

r o e t s B30. r 6+8= e oo p u k S 17. 9 + 5 = 31. 6 + 5 = 16. 7 + 2 =

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3. 4 + 9 = 4. 9 + 2 =

18. 5 + 2 =

32. 9 + 5 =

5. 8 + 7 =

19. 5 + 8 =

33. 6 + 6 =

20. 6 + 8 = 34. 8 + 4 = ©R . I . C.Publ i cat i ons 35. +n 4l =y• 8+3= 21.i 4w + 4p =u •f orr ev e r pose s6o

6. 9 + 3 =

8. 7 + 8 =

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9. 7 + 5 = 10. 5 + 5 = 11. 5 + 9 = 12. 4 + 4 =

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22. 8 + 6 =

36. 9 + 6 =

23. 6 + 9 =

37. 2 + 6 =

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29. 7 + 3 =

o c . ch e 39.r 7+9= 25. 6 + 3 = er o st super 24. 7 + 7 =

38. 9 + 2 =

26. 8 + 7 =

40. 3 + 3 =

13. 6 + 7 =

27. 8 + 5 =

14. 7 + 3 =

28. 8 + 4 =

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Addition Facts

Test for day 7

Complete the following. 1. 9 + 9 = 2. 7 + 8 =

18. 9 + 3 =

35. 8 + 3 =

r o e t s Bo37. 8 + 4 = r e 20. 5 + 8 = p ok u S 21. 2 + 8 = 38. 6 + 6 = 36. 9 + 6 =

5. 2 + 9 =

22. 6 + 7 =

39. 7 + 6 =

6. 4 + 4 =

23. 3 + 3 =

40. 8 + 9 =

7. 6 + 9 =

24. 9 + 5 =

41. 8 + 7 =

9. 4 + 9 =

26. 6 + 7 =

43. 9 + 3 =

10. 7 + 7 =

27. 7 + 3 =

44. 6 + 5 =

28. 7 + 9 =

45. 6 + 9 =

3. 2 + 6 =

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4. 6 + 7 =

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11. 3 + 6 =

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12. 2 + 5 =

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19. 9 + 7 =

o c . che 30. 5 + 3 = 47. 7+5= e r o t r s s r u e p 48. 9 + 9 = 31. 8 + 5 = 29. 5 + 5 =

46. 9 + 8 =

15. 5 + 7 =

32. 8 + 7 =

49. 5 + 4 =

16. 9 + 5 =

33. 7 + 2 =

50. 9 + 4 =

17. 8 + 6 =

34. 8 + 6 =

13. 8 + 8 = 14. 4 + 7 =

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Number facts in seven days

Addition Facts

Final test A

Complete the following. 1. 2 + 2 =

13. 2 + 8 =

r o e t s Bo r 26. 5 + 8 = e p ok u S 15. 4 + 6 = 27. 6 + 7 = 14. 3 + 7 =

3. 2 + 4 =

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2. 2 + 3 =

25. 4 + 9 =

4. 2 + 5 =

16. 5 + 5 =

28. 5 + 9 =

5. 3 + 3 =

17. 2 + 9 =

29. 6 + 8 =

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8. 3 + 5 = 9. 4 + 4 =

31. 6 + 9 =

20. 5 + 6 =

32. 7 + 8 =

o c . ch e r 22. +8= 34. e4r o t s 8+8= super 21. 3 + 9 =

33. 7 + 9 =

11. 3 + 6 =

23. 5 + 7 =

35. 8 + 9 =

12. 4 + 5 =

24. 6 + 6 =

36. 9 + 9 =

10. 2 + 7 =

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19. 4 + 7 =

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7. 2 + 6 =

Number facts in seven days

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Addition Facts

Final Test B

Complete the following. 1. 3 + 2 =

3. 2 + 2 =

25. 9 + 4 =

r o e t s Bo26. 8 + 5 = r e p ok u S 15. 6 + 4 = 27. 7 + 6 = 14. 7 + 3 =

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2. 4 + 2 =

13. 8 + 2 =

4. 5 + 2 =

16. 5 + 5 =

28. 9 + 5 =

5. 3 + 3 =

17. 9 + 2 =

29. 8 + 6 =

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8. 5 + 3 =

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9. 4 + 4 =

19. 7 + 4 =

31. 9 + 6 =

20. 6 + 5 =

32. 8 + 7 =

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7. 6 + 2 =

o c . che e r 22. 8 + 4 = 34. 8 + 8 = o t r s super 21. 9 + 3 =

33. 9 + 7 =

11. 6 + 3 =

23. 7 + 5 =

35. 9 + 8 =

12. 5 + 4 =

24. 6 + 6 =

36. 9 + 9 =

10. 7 + 2 =

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Number facts in seven days

Addition Facts

Final test C

Complete the following. 1. 2 + 3 =

13. 3 + 9 =

2. 7 + 6 =

25. 2 + 6 =

r o e t s Bo r e p o+ 8 = 15. 8 + 7 = 27. 8k u S 26. 8 + 4 =

4. 9 + 4 =

16. 2 + 9 =

28. 9 + 5 =

5. 2 + 4 =

17. 2 + 2 =

29. 6 + 6 =

6. 6 + 9 =

18. 5 + 8 =

30. 2 + 7 =

8. 8 + 6 =

20. 3 + 4 =

32. 3 + 8 =

21. 7 + 9 =

33. 6 + 5 =

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3. 7 + 3 =

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14. 4 + 4 =

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9. 9 + 8 = 10. 3 + 3 = 11. 3 + 5 = 12. 5 + 5 =

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o c . che e r o t r s 35. 9 + 6 = u er 23. 4 s +6 =p 22. 5 + 6 =

34. 2 + 8 =

24. 9 + 9 =

36. 5 + 7 =

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Addition Facts

Final test D

Complete the following. 1. 2 + 2 =

18. 2 + 8 =

35. 9 + 5 =

2. 6 + 3 =

19. 8 + 6 =

36. 7 + 6 =

3. 2 + 7 =

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4. 3 + 4 =

r o e t s Bo37. 8 + 8 = r e p ok u 38. 3 + 5 = S 21. 6 + 9 = 20. 1 + 6 =

5. 1 + 8 =

22. 8 + 7 =

39. 3 + 1 =

6. 4 + 4 =

23. 3 + 3 =

40. 4 + 8 =

7. 9 + 2 =

24. 5 + 7 =

41. 2 + 4 =

44. 6 + 7 =

28. 4 + 6 =

45. 7 + 8 =

29. 7 + 3 =

46. 8 + 9 =

15. 6 + 5 =

32. 5 + 5 =

49. 9 + 9 =

16. 1 + 4 =

33. 3 + 8 =

50. 9 + 8 =

17. 5 + 8 =

34. 4 + 2 =

w ww

27. 7 + 2 =

11. 6 + 6 =

. te 13. 3 + 7 = 12. 4 + 5 =

14. 3 + 2 =

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10. 2 + 1 =

o c 47. 9+1= . che30. 2 + 6 = e r o t r s 48. 7 + 9 = r 31.s 3u +p 9 =e

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Number facts in seven days

Addition Facts

Letter A, day 1

Dear parents Our class is learning the addition facts. We are using a system which may be different than the way you learned your addition facts. You can help your child learn these facts by drilling the designated set of facts daily and reviewing previously learned facts. Please only drill the facts listed because the system works best when followed exactly.

Teac he r

ew i ev Pr

r o e t s Bo r e p ok u The facts are grouped into seven day’s work. Today we are memorising S the following. Please work with your child so he/she will be able to quickly and mentally answer the sums without counting on his/her ﬁngers. Today’s problems

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Thank you for assisting me,

Teacher

Extra notes

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2+4=6

m . u

1+0=1

o c . che e r o t r s super

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Addition Facts

Letter B, day 2

Dear parents This is our second day of learning addition facts. Please drill your child on these facts:

r o e t s Bo4 + 4 = 8 r 3 + 5 = 8 e 2 + 7u = 9p 3+6=9 4o +5=9 k S Review the following

ew i ev Pr

Teac he r

2+6=8

1+0=1

2+2=4

3+3=6

1+1=2

2+3=5

2+5=7

1+2=3

2+4=6

3+4=7

R. I . C.Publ i cat i ons Thank you © for your help,

•f orr evi ew pur posesonl y•

w ww

. te

Extra notes

R.I.C. Publications®

m . u

Teacher

o c . che e r o t r s super

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Number facts in seven days

Addition Facts

Letter C, day 3

Dear parents Today we are learning the following addition facts. Please help by drilling your child on these facts: 2 + 9 = 11 r o e t s B r 3 +p 7 =e 10 3 + 8 = 11 o ok u 4 + 7 = 11 S4 + 6 = 10 5 + 5 = 10

5 + 6 = 11

Review the following

1+0=1

2+4=6

3+5=8

1+1=2

3+3=6

4+4=8

2+6=8

4+5=9

ew i ev Pr

Teac he r

2 + 8 = 10

w ww

m . u

1+2=3

Thank you for your help,

Teacher Extra notes

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o c . che e r o t r s super

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Addition Facts

Letter D, day 4

Dear parents This is our fourth day of learning all of the addition facts. Please help your child memorise the following:

r o e t s Bo r e p ok 4 + 8 = 12 4 + 9 = 13 u S 5 + 7 = 12 5 + 8 = 13 6 + 6 = 12

6 + 7 = 13

Review the following

ew i ev Pr

Teac he r

3 + 9 = 12

1+0= 1

3+4= 7

2 + 8 = 10

1+1= 2

2+6= 8

3 + 7 = 10

2+4= 6

3+6= 9

3 + 8 = 11

3+3= 6

4+5= 9

4 + 7 = 11

w ww

2+5= 7

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5 + 6 = 11

o c . che e r o t r s super

Thanks for your help,

Teacher

m . u

3P +u 5 =b 8l 4 +n 6s = 10 © R. I . C. i cat i o 2+2= 4 4+4= 8 5 + 5 = 10 •f o r r e v i e w p u r p o s e s onl y• 2+3= 5 2+7= 9 2 + 9 = 11 1+2= 3

Extra notes

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Number facts in seven days

Addition Facts

Letter E, day 5

Dear parents On this ﬁfth day of our systematic process of learning all of the addition facts, we are asking your child to memorise this new set of facts.

r o e t s Bo r e p 7 + 7 = 14 5 + 9 = 14 u 6o + 9 = 15 k S 6 + 8 = 14 7 + 8 = 15 Review the following

ew i ev Pr

Teac he r

Please drill your child on these facts:

1+0= 1

3+5= 8

3 + 8 = 11

1+1= 2

4+4= 8

4 + 7 = 11

1+2= 3

2+7= 9

5 + 6 = 11

2+4= 6

2 + 8 = 10

5 + 7 = 12

3+3= 6

3 + 7 = 10

6 + 6 = 12

2+5= 7

4 + 6 = 10

4 + 9 = 13

3+4= 7

5 + 5 = 10

5 + 8 = 13

w ww

m . u

+P 6= 9 l 3+ 9s = 12 © R. I . C3. ub i cat i o n 2+3= 5 4+5= 9 4 + 8 = 12 •f orr evi ew pur poses onl y•

2+2= 4

2 + 9 = 11 6 + 7 = 13 . te o c Thanks for your help, . che e r o t r s super 2+6= 8

Teacher Extra notes

Number facts in seven days

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Addition Facts

Letter F, day 6

Dear parents Today we will ﬁnish all of the addition facts we have been studying over the last six days.

r o e t s Bo r e p8 + 8 =16 7 + 9 =16 u 8 + 9 =17 o 9 + 9 = 18 k S Review the following

1+0= 1

2+6= 8

5 + 5 =10

1+1= 2

3+5= 8

2 + 9 =11

1+2= 3

4+4= 8

3 + 8 =11

2+2= 4

2+7= 9

4 + 7 =11

3+3= 6

2 + 8 = 10

4 + 8 =12

6 + 9 = 15

2+5= 7

3 + 7 = 10

5 + 7 =12

7 + 8 = 15

3+4= 7

4 + 6 = 10

6 + 6 =12

m . u

ew i ev Pr

Teac he r

Please help your child memorise this set of facts:

4 + 9 = 13 5 + 8 = 13 6 + 7 = 13 5 + 9 = 14

3I +C 6. = P 9 u 5c +a 6= 11 © R. . bl i t i ons6 + 8 = 14 2+4= 6 4+5= 9 3 + 9 =12 7 + 7 = 14 • f orr ev i ew pur p oseson l y• 2+3= 5

w ww

. te

Thank you for your help,

Teacher Extra notes

R.I.C. Publications®

o c . che e r o t r s super

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Number facts in seven days

Addition Facts 0

9 10

9 10 11

9 10 11 12

9 10 11 12 13

9 10 11 12 13 14

9 10 11 12 13 14 15

9 10 11 12 13 14 15 16

9 10 11 12 13 14 15 16 17

9 10 11 12 13 14 15 16 17 18

9 10

9 10 11

9 10 11 12 13 14 15

9 10 11 12 13 14 15 16

9 10 11 12 13 14 15 16 17

9 10 11 12 13 14 15 16 17 18

0 1 2

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o c . che e r o t r s super 6

9 10

9 10 11

9 10 11 12

9 10 11 12 13

9 10 11 12 13 14

9 10 11

m . u

r o e t s Bo r e p ok u S

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Teac he r

Tables

9 10

9 10 11

9 10 11 12

9 10 11 12 13

9 10 11 12 13 14

9 10 11 12 13 14 15

9 10 11 12 13 14 15 16

9 10 11 12 13 14 15 16 17

9 10 11 12 13 14 15 16 17 18

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Multiplication Teac he r 3

1 1

2 2

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facts in seven days r o e t s Bo r e p ok u 2. 3 x 3 = S 3. 4 x 4 =

5 7 4 6 8 6 8 10 4 9 7 9 1 12 12 5 8 8 0 12 15 5 14 9 1 16 18 6 16 10 01 20 6 21 18 5 12 20 24 7 24 20 18 25 7 28 27 14 24 30 8 32 30 21 30 8 35 36 16 28 36 9 40 40 24 35 9 42 4 5 10 18 32 42 48 50 10 27 40 49 54 20 36 48 56 60 30 45 56 63 40 54 64 70 50 63 72 60 7 rs 80 70 he Fo2u81 90 rn t 80 9 a e L 0 , 0 2 5 100 5= Day 4x 6

4. 5 x 5 = 5. 6 x 6 =

9. 8 x 8 =

o c che 11.e 6. x6= r o r st super 12. 5 x 5 = e 6 4x

8 4x

hom , d n os se nd ares, tw a n 5 iew squ o s s ev Le Do r E. R s. e e Lett and thre ﬁves 9 4x

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10. 7 x 7 =

7 4x

R.I.C. Publications®

8. 9 x 9 =

m . u

w ww

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7. 8 x 8 =

Facts in seven days

13. 4 x 4 = 14. 3 x 3 =

Multiplication Facts

Teachers notes

There are many facts and skills a student needs to have at their disposal when doing mathematics, but none are more important than the multiplication facts. One needs to know addition facts too, but can use counting – on techniques and other strategies to add 9 and 6. But, multiplying 9 x 6 requires not only an understanding what that means, but in my opinion, an immediate response. Of course, one could add nine sixes or six nines, but that isn’t easy for many students. The solution is to memorise the multiplication facts early and quickly.

r o e t s Bo r e p ok u S I am also aware that memorising anything in mathematics without understanding is not

ew i ev Pr

Teac he r

As a maths educator, I have tried various approaches and have had teachers propose many different ways to help students memorise the multiplication facts, but none as effective as my ‘Seven Day’ method.

appropriate.

Therefore, prior to applying my Seven Day system, I strongly suggest that teachers are certain that their students have been given the appropriate background so they understand what multiplication is. To do this, I recommend Marilyn Burns’ wonderful book, Math by all means: multiplication.

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Multiplication of any number by zero equals zero.

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ax0=0

m . u

Depending on the background of the student, you may not have to do every lesson but can pick and choose from the delightful menu of lessons and activities. Also, before beginning my Seven Day program, there are three maths principles which students need to be aware of:

o c . che e r o t r s Principle 3 s r a xu 1 =p a e Principle 2

Multiplying any number by one yields that number.

The order in which we multiply does not change the result. (the Commutative Principle of Multiplication)

Number facts in seven days

axb=bxa

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Multiplication Facts

Teachers notes

To begin, I recommend that students be given a blank multiplication table (see Table 1 on page 28) without the products and have them complete the table. To complete the table they may use any prior knowledge, manipulatives or strategy they choose. Completing the table will help them learn how to ‘read the table’, and will allow them to discover some of the patterns in the table.

r o e t s Bo r e p ok u S • First, notice that the product of any number and zero equals zero (a x 0 = 0). So we

ew i ev Pr

Teac he r

Next, give each student Table 2 (on page 29) and discuss how the three principles allow us to black out certain facts. (See Table 3 on page 30.) The next step is to look at Table 3 and observe any patterns. Students may suggest a number of patterns, but there are three that need to be found: need not memorise any facts involving zero as a factor. (see Table 3)

• Secondly, it should be observed that one times any number, a, has a product of a (1 x a = a). Therefore, we do not need to memorise any products involving one, since 1 x a = a: for example, 1 x 3 = 3, 1 x 7 = 7 etc. Mark out these products, as shown in Table 3.

• Thirdly, it should be observed that the products of numbers where the order is reversed is the same. For example, notice 3 x 4 = 4 x 3, 6 x 5 = 5 x 6 etc. Therefore, since a x b = b x a, only half of the table needs to be memorised. When you know 6 x 9 you know 9 x 6 etc.

Mark out all products that ‘commute’, as they are the reverses of a set of products (see Table 3).

w ww

m . u

At this point, you will have only 36 products that have not been marked out. These are the facts we need to memorise.

. tthat we have also eliminated 1 x a, because multiplication byoone does not • Notee c . change anything e.g. 1 x a = a. ch e r e o t • Note that since a x b = br xs a (order doesn’t matter), only part of the facts need to be s r u e p memorised. When you know 5 x 6 = 30, you know 6 x 5 = 30.

• Note that we have eliminated 0 x a, because the answer is always zero. Nothing to memorise.

Now the process. (Refer to Table 3) Special note: Each day, send the Parent Letter home to ask parents for their help.

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Number facts in seven days

Multiplication Facts

Day 1, Learn the squares 2x2=4 3x3=9 4 x 4 = 16 5 x 5 = 25

6 x 6 = 36 7 x 7 = 49 8 x 8 = 64 9 x 9 = 81

Teachers notes

Day 2, Learn the twos Actually, there are only 7 facts to learn: 2x3=6 2x4=8 2 x 5 = 10 2 x 6 = 12

2 x 7 = 14 2 x 8 = 16 2 x 9 = 18

Teac he r

encourages students because it builds conﬁdence. I also like to solicit the parents’ help and send Letter A (on page 38) to the parent or guardian. They will be eager to help and this saves classroom time normally used for more practise.

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r o e t s Bo r e p is ‘we Why squares ﬁrst? The answer Why twos next? Twoo reasons: u k don’t know’, but for some reason S 1. They are easy to learn (probably the squares are easiest to learn. This because we frequently count by 2s).

2. Again, this is an easy task that builds conﬁdence.

Do Lesson 2 (page 32) and send home Letter B (page 39). Review squares.

Day 3, Learn the ﬁves

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5 x 6 = 30

Day 4, Learn the threes

3 x 4 = 12

m . u

Use Lesson 1 (on page 31) in class.

3 x 7 = 21

3 x 5 = 15 3 x 8 = 24 . t5e x 8 = 40 3 x 6 = 18 3 x 9c =o 27 . 5x9=c 45 e her r o st r upDoeLesson Again, we learn ﬁves next because theys 4 (page 34) and send 5 x 7 = 35

are easily learned and there are only four.

home Letter D (page 41). Review squares, twos and ﬁves.

Do Lesson 3 (page 33) and send home Letter C (page 40). Review squares and twos.

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Multiplication Facts

Day 5, Learn the fours

Teachers notes

Day 6, Learn the sixes, sevens and eights

4 x 5 = 20 6 x 7 = 42

4 x 6 = 24

7 x 8 = 56

6 x 8 = 48 7 x 9 = 63 r o e t s r 4 x 8 = 32 6B x9= 54 8 x 9 = 72 e o p o 4 x 9 = 36 u k S Do Lesson 5 (page 35) and send Do Lesson 6 (page 36) and send

home Letter E (page 42). Review squares, twos, ﬁves and threes.

ew i ev Pr

Teac he r

4 x 7 = 28

home Letter F (page 43). Review squares, twos, ﬁves, threes and fours.

Day 7, All facts, review and test

Focus on the facts students still have trouble with. ©R . I . C.Publ i cat i ons Send Letter G to parents (page 44). •f orr evi ew pur posesonl y•

w ww

m . u

That’s it! Now the only other thing you need to do is to periodically review the learning. I strongly suggest using games. For a good set of games, I recommend Multi-level math fun, from Creative Teaching Press.

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Also: Maths games (Ages 5–6, 7–8, 9–10) .............................................................. R.I.C. Publications 30 Maths games ............................................................................................... R.I.C. Publications Maths grid games ............................................................................................ R.I.C. Publications

o c . che e r o t r s super Other resources for revision of facts:

Maths masterpieces ........................................................................................ R.I.C. Publications Mastering tables .............................................................................................. R.I.C. Publications Steps into tables .............................................................................................. R.I.C. Publications Times table challenge..................................................................................... R.I.C. Publications

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Number facts in seven days

Multiplication Facts

Teac he r

. te

m . u

w ww

6 7

r o e t s Bo r e p ok u S

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Table 1

o c . che e r o t r s super

Number facts in seven days

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Multiplication Facts

r o e t s B r e 0 0 0 0 0 o 0 0 p o u S1 2 3 4 5 6 k7

4 R. 8 12 20 24n © I . C. Pu16 bl i c at i o s28 32 •0f or5r ev i ew pur posesonl y• 10 15 20 25 30 35 40

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R.I.C. Publications®

Number facts in seven days

. 0t 56 e8 16 24 32 40 48 c o . che e r o 0 9 18 r 27 36 45 t s 54 63 super

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Teac he r

Table 2

Multiplication Facts

12 16 20l 24t 28 ©8 R. I . C. Pub i ca i o ns32 36 •f or10 r evi ew pur posesonl y• 0 5 15 20 25 30 35 40 45

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0 0

r o e t s B r 0 e 0 0 0 0 o0 0 p o u S2 3 4 5 6 7 k 8

0 9

. 8t 64 e 16 24 32 40 48 56 co . che e r o 9 18 27r 36 45 54 t s 63 72 super

Number facts in seven days

m . u

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Teac he r

Table 3

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72 81

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Multiplication Facts

Lesson 1, Squares

Complete the following. If you need help, ﬁnd the answers in your table.

1. 2 x 2 =

18. 6 x 6 =

35. 7 x 7 =

2. 3 x 3 =

19. 8 x 8 =

36. 8 x 8 =

3. 4 x 4 =

ew i ev Pr

Teac he r

4. 5 x 5 =

r o e t s Bo37. 6 x 6 = r e p 21. 5 x 5 = o u k4 x 4 = 38. S 20. 3 x 3 =

5. 6 x 6 =

22. 7 x 7 =

39. 5 x 5 =

6. 7 x 7 =

23. 9 x 9 =

40. 7 x 7 =

7. 8 x 8 =

24. 2 x 2 =

41. 3 x 3 =

25. 8P xu 8= 42.s 7x7= © R. I . C. bl i cat i on orr evi e w9p poses43. on y 8 x• 8 =f 26. x 9u =r 8l x 8• =

8. 9 x 9 = 9.

44. 4 x 4 =

11. 6 x 6 =

28. 3 x 3 =

45. 2 x 2 =

29. 5 x 5 =

46. 9 x 9 =

30. 6 x 6 =

47. 8 x 8 =

15. 2 x 2 =

32. 6 x 6 =

49. 6 x 6 =

16. 2 x 2 =

33. 9 x 9 =

50. 9 x 9 =

17. 4 x 4 =

34. 5 x 5 =

. t 4x4= e

12. 5 x 5 = 13.

14. 3 x 3 =

R.I.C. Publications®

m . u

27. 7 x 7 =

w ww

10. 7 x 7 =

o c . che e r o 31. 4 x 4 = t r s 48. 3 x 3 = super

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Number facts in seven days

Multiplication Facts

Lesson 2, Twos and squares

Complete the following.

1. 2 x 3 =

18. 2 x 7 =

35. 3 x 3 =

2. 2 x 4 =

19. 2 x 6 =

36. 6 x 6 =

3. 2 x 5 =

r o e t 37. 8 x 8 = s Bo r e p o u 38. 6k x6= S 21. 2 x 2 = 20. 2 x 5 =

5. 2 x 7 =

22. 2 x 4 =

39. 4 x 4 =

6. 2 x 8 =

23. 2 x 6 =

40. 5 x 5 =

7. 2 x 9 =

24. 2 x 8 =

41. 7 x 7 =

25. 2 x. 3P =u 42. 2s x2= ©R . I . C bl i cat i on 2 x 7 = •f 26.i 2w x5= 43. 5 xn 5l =y• orr ev e pur pose so

8. 2 x 8 = 9.

44. 3 x 3 =

11. 2 x 5 =

28. 2 x 9 =

45. 4 x 4 =

29. 9 x 9 =

46. 6 x 6 =

30. 7 x 7 =

47. 5 x 5 =

15. 2 x 3 =

32. 8 x 8 =

49. 8 x 8 =

16. 2 x 8 =

33. 4 x 4 =

50. 9 x 9 =

17. 2 x 4 =

34. 9 x 9 =

13. 2 x 3 = 14. 2 x 9 =

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27. 2 x 7 =

w ww

10. 2 x 6 =

12. 2 x 4 =

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Teac he r

4. 2 x 6 =

o c . che e r o 31. 2 xs 2= 48. t r s 7x7= uper

Number facts in seven days

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Multiplication Facts

Lesson 3, Fives and review

Complete the following. If you need help, ﬁnd the answers in your table.

1. 5 x 6 =

18. 2 x 3 =

35. 9 x 9 =

2. 5 x 7 =

19. 5 x 8 =

36. 5 x 8 =

3. 5 x 8 =

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Teac he r

4. 5 x 9 =

r o e t s Bo37. 2 x 3 = r e p 21. 5 x 9 = o u k8 x 8 = 38. S 20. 2 x 4 =

5. 5 x 8 =

22. 2 x 5 =

39. 5 x 7 =

6. 5 x 7 =

23. 5 x 7 =

40. 2 x 6 =

7. 5 x 6 =

24. 2 x 6 =

41. 7 x 7 =

25.. 2P xu 3b = l 42.s 5x6= © R. I . C i cat i on orr evi e w2p u poses43. on y 5 x• 6 =f 26. x7 =r 2l x 7• =

8. 5 x 5 = 9.

44. 6 x 6 =

11. 5 x 7 =

28. 2 x 8 =

45. 5 x 9 =

29. 5 x 7 =

46. 2 x 4 =

30. 2 x 9 =

47. 5 x 5 =

15. 5 x 9 =

32. 2 x 2 =

49. 8 x 8 =

16. 9 x 9 =

33. 5 x 9 =

50. 2 x 9 =

17. 5 x 6 =

34. 2 x 5 =

. te 5x8=

12. 7 x 7 = 13.

14. 8 x 8 =

R.I.C. Publications®

m . u

27. 5 x 6 =

w ww

10. 6 x 6 =

o c . che e r o t 31. 5 x 8 = r s 48. 2 x 8 = super

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Number facts in seven days

Multiplication Facts

Lesson 4, Threes and review

Complete the following. If you need help, ﬁnd the answers in your table.

1. 3 x 4 =

18. 2 x 6 =

35. 3 x 7 =

2. 3 x 5 =

19. 5 x 9 =

36. 7 x 7 =

3. 3 x 6 =

r o e t 37. 3 x 8 = s B r e oo p u 38. 3k x5= S 21. 9 x 9 = 20. 2 x 7 =

5. 3 x 8 =

22. 2 x 8 =

39. 3 x 9 =

6. 3 x 9 =

23. 8 x 8 =

40. 8 x 8 =

7. 3 x 8 =

24. 2 x 9 =

41. 3 x 7 =

25. 7 x. 7P = u 42. 3 xs 6= ©R . I . C bl i cat i on 3 x 6 = •f 26. 6w x 6 =p 43. 3 xn 8l =y• orr e vi e ur pose so

8. 3 x 7 = 9.

44. 3 x 7 =

11. 3 x 4 =

28. 5 x 5 =

45. 3 x 6 =

29. 7 x 7 =

46. 3 x 9 =

30. 3 x 3 =

47. 3 x 5 =

15. 5 x 7 =

32. 3 x 5 =

49. 7 x 7 =

16. 2 x 5 =

33. 6 x 6 =

50. 9 x 9 =

17. 5 x 8 =

34. 3 x 6 =

13. 5 x 6 = 14. 2 x 4 =

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27. 5 x 8 =

w ww

10. 3 x 5 =

12. 2 x 3 =

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Teac he r

4. 3 x 7 =

o c . che e r o 31. 3r xs 4= 48. t s 4x4= uper

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Multiplication Facts

Lesson 5, Fours and review

Complete the following. If you need help, ﬁnd the answers in your table.

1. 4 x 5 =

18. 8 x 8 =

35. 2 x 4 =

2. 4 x 6 =

19. 3 x 4 =

36. 4 x 8 =

3. 4 x 7 =

5. 4 x 9 =

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Teac he r

4. 4 x 8 =

r o e t s Bo37. 2 x 5 = r e p 21. 5 x 9 = o u k3 x 8 = 38. S 20. 9 x 9 =

22. 3 x 5 =

39. 2 x 6 =

6. 4 x 8 =

23. 3 x 7 =

40. 4 x 9 =

7. 4 x 7 =

24. 3 x 9 =

41. 2 x 7 =

25.. 4P xu 6b = l © R. I . C i cat i o42. ns4 x 7 = 4 x• 5= 26. x9 =r 2l xy 8= f orr evi e w4p u poses43. on •

8. 4 x 6 = 9.

44. 4 x 8 =

11. 5 x 6 =

28. 4 x 6 =

45. 2 x 9 =

29. 4 x 7 =

46. 3 x 6 =

30. 4 x 5 =

47. 4 x 9 =

15. 3 x 3 =

32. 4 x 2 =

49. 5 x 8 =

16. 7 x 7 =

33. 2 x 3 =

50. 4 x 9 =

17. 5 x 8 =

34. 4 x 7 =

. t 5x7= e

12. 5 x 5 = 13.

14. 6 x 6 =

R.I.C. Publications®

m . u

27. 4 x 8 =

w ww

10. 4 x 4 =

o c . che e r o 31. 4 x 3 = t r s 48. 9 x 9 = super

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Number facts in seven days

Multiplication Facts

Lesson 6, Sixes, sevens, eights and review

Complete the following. If you need help, ﬁnd the answers in your table.

1. 6 x 7 =

18. 3 x 3 =

35. 3 x 9 =

2. 6 x 8 =

19. 7 x 8 =

36. 2 x 5 =

3. 6 x 9 =

r o e t 37. 6 x 7 = s B r e oo p u 38. 2 k x6= S 21. 3 x 7 = 20. 4 x 4 =

5. 7 x 9 =

22. 5 x 5 =

39. 7 x 9 =

6. 8 x 9 =

23. 4 x 8 =

40. 2 x 7 =

7. 7 x 9 =

24. 6 x 6 =

41. 3 x 8 =

25. 6 x. 7P = u 42. 2 xs 8= ©R . I . C bl i cat i on 6 x 9 = •f 26. 7w x 7 =p 43. xn 7l =y• orr e vi e ur pose s4o

8. 7 x 8 = 9.

44. 2 x 9 =

11. 6 x 7 =

28. 8 x 8 =

45. 4 x 9 =

29. 4 x 6 =

46. 5 x 7 =

30. 9 x 9 =

47. 5 x 8 =

15. 7 x 9 =

32. 2 x 3 =

49. 7 x 9 =

16. 2 x 2 =

33. 8 x 9 =

50. 6 x 9 =

17. 6 x 9 =

34. 2 x 4 =

13. 6 x 8 = 14. 7 x 8 =

. te

m . u

27. 4 x 5 =

w ww

10. 6 x 8 =

12. 6 x 9 =

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Teac he r

4. 7 x 8 =

o c . che e r o 31. 6r xs 8= 48. t s 5x9= uper

Number facts in seven days

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Multiplication Facts

Lesson 7, Cumulative review

Solve as quickly as you can. If you need help, ﬁnd the answers in your table.

1. 2 x 2 =

18. 5 x 8 =

35. 7 x 9 =

2. 3 x 3 =

19. 5 x 9 =

36. 8 x 9 =

3. 4 x 4 =

5. 6 x 6 =

ew i ev Pr

Teac he r

4. 5 x 5 =

r o e t 37. 7 x 6 = s B r e oo p u k7 x 8 = 38. S 21. 3 x 5 = 20. 3 x 4 =

22. 3 x 6 =

39. 9 x 4 =

6. 7 x 7 =

23. 3 x 7 =

40. 9 x 6 =

7. 8 x 8 =

24. 3 x 8 =

41. 9 x 7 =

25.. 3P xu 9b = l 42.s 9x8= © R. I . C i cat i on 2 x• 3 =f 26. x5 =r 6l x 7• = orr evi e w4p u poses43. on y

8. 8 x 9 = 9.

44. 7 x 9 =

11. 2 x 5 =

28. 4 x 7 =

45. 8 x 7 =

29. 4 x 8 =

46. 6 x 9 =

30. 4 x 9 =

47. 8 x 5 =

15. 2 x 9 =

32. 6 x 8 =

49. 9 x 6 =

16. 5 x 6 =

33. 6 x 9 =

50. 6 x 9 =

17. 5 x 7 =

34. 7 x 8 =

. t 2x7= e

12. 2 x 6 = 13.

14. 2 x 8 =

R.I.C. Publications®

m . u

27. 4 x 6 =

w ww

10. 2 x 4 =

o c . che e r o 31. 6 x 7 = t r s 48. 7 x 5 = super

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Number facts in seven days

Multiplication Facts

Letter A, Day 1

Dear parents

r o e t s Bo r e p ok u S Today’s facts

2x2=4

6 x 6 = 36

3x3=9

7 x 7 = 49

4 x 4 = 16

8 x 8 = 64

5 x 5 = 25

9 x 9 = 81

ew i ev Pr

Teac he r

Over the next seven days we are learning the multiplication facts. We are using a system called ‘Seven days to multiplication mastery’. Each day I will send you some problems I want you to help your child master. Have your child master these facts (and these only), so that your child will know these facts by tomorrow. How you do this is up to you.

w ww

Teacher

Extra notes

. te

m . u

appreciate your cooperation.

o c . che e r o t r s super

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Multiplication Facts

Letter B, Day 2

Dear parents

Today’s facts r o e t s B= 14 r 2 xe 3=6 2 x 7o p o u 2 x 8 = 16 k S 22 xx 45 == 810 2 x 9 = 18 2 x 6 = 12 Review the squares (below) 2x2=4

6 x 6 = 36

3x3=9

7 x 7 = 49

ew i ev Pr

Teac he r

This is the second day in our series of lessons designed to teach your child all of the multiplication facts in seven days. Today I would like you to help your child learn the following facts:

8 x 8 = 64

w ww

m . u

Thank you for your help,

Teacher

. te

Extra notes

R.I.C. Publications®

o c . che e r o t r s super

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Number facts in seven days

Multiplication Facts

Letter C, Day 3

Dear parent/guardian

r o e t s Bo r e Today’s Facts p o 5u x 6 = 30 5 x 8 = 40 k S 5 x 7 = 35 5 x 9 = 45 Review the following

ew i ev Pr

Teac he r

Today we will continue your child’s understanding of multiplication facts. On this third day we are focusing on the multiplication facts below. Please drill these facts and review the previous facts (squares and twos):

2x2= 4

7 x 7 = 49

2 x 5 = 10

3x3= 9

8 x 8 = 64

2 x 6 = 12

4 x 4 = 16

9 x 9 = 81

2 x 7 = 14

w ww

Teacher

Extra notes

. te

m . u

Thank you for your help,

o c . che e r o t r s super

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Multiplication Facts

Letter D, Day 4

Dear parents This is the fourth day of our ‘Seven days to learning multiplication facts’. Please drill the following facts: Today’s facts

3 x 6 = 18 3 x 8 = 24 r o e t s r 3 x 7 = 21 Bo 3 x 9 = 27 3 x 5 = 15 e p Review the following ok u S 2x2= 4 2x3= 6 5 x 6 = 30

ew i ev Pr

Teac he r

3 x 4 = 12

3x3= 9

2x4= 8

5 x 7 = 35

4 x 4 = 16

2 x 5 = 10

5 x 8 = 40

5 x 5 = 25

2 x 6 = 12

5 x 9 = 45

6 x 6 = 36

2 x 7 = 14

7 x 7 = 49

2 x 8 = 16

w ww

. te

Teacher

Extra notes

R.I.C. Publications®

m . u

Thanks for your help,

o c . che e r o t r s super

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Number facts in seven days

Multiplication Facts

Letter E, Day 5

Dear parents This is the ﬁfth day your child is learning the multiplication facts. Please drill your child on the following facts: Today’s facts

4 xt 7= 28r 4 x 8 = 32 o e s B r e oo 4 x 6 = 24 4 x 9 = 36 p u k S Review the following

Teac he r

4 x 5 = 20

2x3= 6

5 x 6 = 30

3 x 4 = 12

3x3= 9

2x4= 8

5 x 7 = 35

3 x 5 = 15

4 x 4 = 16

2 x 5 = 10

5 x 8 = 40

3 x 6 = 18

5 x 5 = 25

2 x 6 = 12

5 x 9 = 45

2 x 9 = 18

3 x 9 = 27

ew i ev Pr

2x2= 4

2 x 8 = 16

w ww

m . u

8 x 8 = 64

Thanks for your help,

Teacher Extra notes

. te

o c . che e r o t r s super

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Multiplication Facts

Letter F, Day 6

Dear parents On this sixth day of learning the multiplication facts, your child is memorising the following. Please drill your child on the following facts:

Teac he r

Review the following

ew i ev Pr

Today’s facts r o e t s r 6 x 7 = 42 7 x 8 = 56 B e oo 8 x 9 = 72 p k6 x 9 = 54 6x8=u 7 x 9 = 63 S48 2x2= 4

2x3= 6

5 x 6 = 30

3 x 8 = 24

3x3= 9

2x4= 8

5 x 7 = 35

3 x 9 = 27

4 x 4 = 16

2 x 5 = 10

5 x 8 = 40

4 x 5 = 20

3 x 4 = 12

4 x 7 = 28

7 x 7 = 49

2 x 8 = 16

3 x 5 = 15

4 x 8 = 32

8 x 8 = 64

2 x 9 = 18

4 x 9 = 36

9 x 9 = 81

w ww

. te

3 x 6 = 18

3 x 7 = 21

o c . che e r o t r s super

Thank you for your help,

Teacher

m . u

Extra notes

R.I.C. Publications®

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Number facts in seven days

Multiplication Facts

Letter G, Day 7

Dear parents This is the last day in our series of ‘Learning the multiplication facts in seven days’. All of the facts have been covered, but there may be a few your child needs to review and memorise. Below is a set of all the facts. See that your child knows the facts and spend extra time reviewing any that cause your child to hesitate or that they are unable to recall. Occasionally go back and review the facts. 2x2= 3x3= 4x4= 5x5= 6x6= 7x7= 8x8=

4 9 16 25 36 49 64

2x3= 2x4= 2x5= 2x6= 2x7= 2x8= 2x9=

6 8 10 12 14 16 18

5x6= 5x7= 5x8= 5x9=

30 35 40 45

3x4= 3x5= 3x6= 3x7= 3x8= 3x9=

2 15 18 21 24 27

ew i ev Pr

Teac he r

r o e t s Bo r e p ok u Squares S Twos Fives Threes

w ww

4x5= 4x6= 4x7= 4x8= 4x9=

. te

6 x 7 = 42 6 x 8 = 48 6 x 9 = 54

7 x 8 = 56 7 x 9 = 63

o c . che e r o t r s super

Thank you for your help,

Teacher

8 x 9 = 72

m . u

9 x 9 = 81

Extra notes

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r o e t s B r e oto the class to keep the Periodically give one of the ﬁnal testso p u k S facts fresh in their minds. You may have the students time their test to see if they can improve their speed.

ew i ev Pr

Teac he r

Final tests

Randomly rotate the three tests.

est A

Final T

inal T

est C

1. 6 x 6 =

1. 7 x 6 =

m . u

w ww

= 2. 3 x 3

2. 2 x 4=

2. 2 x 3 =

= 3. 4 x 4

. 3. 5 x 6 = te5 = 3. 3 x 7o = x c 4. 5 . che4. 3 x 4 = e r 4 . o 5 t x2= r s s r u = e p 6 x 6 5. = 6. 7 x 7

5. 4 x 3 =

5. 4 x 6 =

6. 2 x 4 =

6. 3 x 8 =

7. 3 x 2 = R.I.C. Publications®

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Facts in seven days

Multiplication Facts

1. 2 x 2 =

Final test A

13. 2 x 7 =

25. 3 x 9 =

15. 2 x 9 =

27. 4 x 6 =

4. 5 x 5 =

16. 5 x 6 =

28. 4 x 7 =

5. 6 x 6 =

17. 5 x 7 =

29. 4 x 8 =

7. 8 x 8 =

19. 5 x 9 =

31. 6 x 7 =

20. 3 x 4 =

32. 6 x 8 =

3. 4 x 4 =

ew i ev Pr

Teac he r

2. 3 x 3 =

r o e t s B r e o 14. 2 x 8 = 26.o 4x5= p u k S

w ww

8. 9 x 9 = 9. 2 x 3 =

o c . che e r o 22. 3 xs 6u = 34. t r s 7x8= per 21. 3 x 5 =

33. 6 x 9 =

11. 2 x 5 =

23. 3 x 7 =

35. 7 x 9 =

12. 2 x 6 =

24. 3 x 8 =

36. 8 x 9 =

10. 2 x 4 =

. te

m . u

Number facts in seven days

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Multiplication Facts

1. 6 x 6 =

Final test B

13. 9 x 9 =

25. 2 x 9 =

15. 3 x 9 =

27. 5 x 5 =

4. 3 x 4 =

16. 6 x 8 =

28. 2 x 3 =

5. 4 x 6 =

17. 8 x 8 =

29. 5 x 7 =

7. 2 x 2 =

19. 8 x 9 =

31. 5 x 9 =

20. 4 x 5 =

32. 4 x 4 =

3. 5 x 6 =

ew i ev Pr

Teac he r

2. 2 x 4 =

r o e t s B r e oo26. 3 x 5 = 14. 2 x 6 = p u k S

w ww

8. 5 x 8 =

. te

9. 4 x 8 =

m . u

o c . che e r o 22. 7 x 7 = t r s 34. 4 x 9 = super 21. 3 x 6 =

33. 2 x 5 =

11. 2 x 8 =

23. 2 x 7 =

35. 3 x 3 =

12. 7 x 8 =

24. 6 x 9 =

36. 3 x 7 =

10. 6 x 7 =

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Number facts in seven days

Multiplication Facts

1. 7 x 6 =

15. 9 x 2 =

2. 2 x 3 =

Final test C

29. 3 x 3 =

r o e t s 30. 4 x 2 = Bo r e p ok u 31. 5 x 3 = S 17. 7 x 5 = 16. 6 x 6 =

ew i ev Pr

Teac he r

3. 3 x 7 = 4. 5 x 2 =

18. 8 x 6 =

32. 6 x 3 =

5. 4 x 3 =

19. 4 x 8 =

33. 8 x 2 =

6. 2 x 4 =

20. 9 x 8 =

34. 6 x 8 =

8. 6 x 9 =

22. 5 x 8 =

36. 2 x 2 =

9. 7 x 4 =

23. 7 x 9 =

37. 7 x 3 =

24. 8 x 6 =

38. 9 x 6 =

25. 7 x 7 =

39. 5 x 5 =

13. 8 x 8 =

27. 7 x 9 =

41. 4 x 6 =

14. 3 x 8 =

28. 9 x 4 =

42. 4 x 7 =

w ww

10. 8 x 5 = 11. 2 x 5 = 12. 3 x 4 =

. te

m . u

o c . che e r o t r s 40. 3 x 5 = er 26. 4 xs 9u =p

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Multiplication Facts

43. 3 x 9 = 44. 8 x 7 =

71. 6 x 4 =

r o e t s Bo 72. 8 x 4 = r e p ok u 73. 4 x 4 = S 59. 2 x 8 = 58. 7 x 8 =

ew i ev Pr

Teac he r

45. 7 x 6 =

57. 8 x 3 =

Final test C continued

46. 6 x 5 =

60. 6 x 2 =

74. 9 x 3 =

47. 8 x 7 =

61. 9 x 5 =

75. 2 x 9 =

48. 9 x 7 =

62. 7 x 6 =

76. 9 x 6 =

50. 9 x 6 =

64. 2 x 7 =

78. 7 x 9 =

51. 4 x 9 =

65. 5 x 6 =

79. 5 x 7 =

. te 53. 6 x 7 =

66. 5 x 4 =

80. 4 x 7 =

67. 7 x 2 =

81. 8 x 9 =

55. 8 x 7 =

69. 2 x 6 =

83. 9 x 8 =

56. 9 x 3 =

70. 4 x 5 =

84. 5 x 9 =

w ww

52. 6 x 9 =

54. 6 x 8 =

R.I.C. Publications®

m . u

o c . che e r o t r s 82. 7 x 6 = s r u 68. 3 xp 6 =e

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Number facts in seven days

Multiplication Facts 0

8 10 12 14 16 18

9 12 15 18 21 24 27

8 12 16 20 24 28 32 36

5 10 15 20 25 30 35 40 45

6 12 18 24 30 36 42 48 54

7 14 21 28 35 42 49 56 63

8 16 24 32 40 48 56 64 72

9 18 27 36 45 54 63 72 81

8 10 12 14 16 18

9 12 15 18 21 24 27

6 12 18 24 30 36 42 48 54

7 14 21 28 35 42 49 56 63

8 16 24 32 40 48 56 64 72

9 18 27 36 45 54 63 72 81

1 2 3

0i 3a 6t 9 15 18 21 24 27 © R. I . C.Pu3bl c i o12ns 8 12 16 20 24 28 32 36 4 0 4 8 12 16 20 24 28 32 36 o e35vi ew u p e15s20o25nl y35•40 45 10• 15f 20 r 25 r 30 40 45 p 0 o 5 s 10 30 5r

w ww 1

. te 4

m . u

r o e t s Bo r e p ok u S

ew i ev Pr

Teac he r

Tables

o c . che e r o t r s super 6

8 10 12 14 16 18

9 12 15 18 21 24 27

8 12 16 20 24 28 32 36

5 10 15 20 25 30 35 40 45

8 10 12 14 16 18

9 12 15 18 21 24 27

8 12 16 20 24 28 32 36

5 10 15 20 25 30 35 40 45

6 12 18 24 30 36 42 48 54

7 14 21 28 35 42 49 56 63

8 16 24 32 40 48 56 64 72

9 18 27 36 45 54 63 72 81

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Answers Addition facts

Test for day 2 .............. pg 6 3 5 7 4 6 7 6 4 5 6

11. 12. 13. 14. 15. 16. 17. 18. 19. 20.

4 3 5 4 5 6 7 5 7 6

9 9 7 9 8 8 6 9 8 9 5 9

Teac he r

13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24.

9 5 11 11 8 10 11 9 11 6 6 10

w ww

10 8 10 8 10 9 6 7 11 7 10 11

. te

Test for day 5 .............. pg 9 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.

8 10 12 10 13 13 11 9 11 12 9 13 8

14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26.

12 11 12 11 13 11 8 13 11 13 12 9 6

Test for day 6 ............ pg 10 1. 2. 3. 4.

Final test B ............... pg 13 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18.

5 6 4 7 6 7 8 8 8 9 9 9 10 10 10 10 11 11

19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36.

11 11 12 12 12 12 13 13 13 14 14 14 15 15 16 16 17 18

43. 44. 45. 46.

Test for day 7 ............ pg 11 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25.

18 15 8 13 11 8 15 15 13 14 9 7 16 11 12 14 14 12 16 13 10 3 6 14 12

26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50.

13 10 16 10 8 13 15 9 14 11 15 12 12 13 17 15 12 12 11 15 17 12 18 9 13

Final test C ................ pg 14 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18.

5 13 10 13 6 15 11 14 17 6 8 10 12 8 15 11 4 13

19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36.

7 7 16 11 10 18 8 12 16 14 12 9 14 11 11 10 15 12

6 13 15 17

15 14 13 11

R.I.C. Publications®

5. 6. 7. 8.

15 12 11 15

Final test D ............... pg 15 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21.

4 9 9 7 9 8 11 7 11 3 12 9 10 5 11 5 13 10 14 7 15

22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42.

15 6 12 16 13 9 10 10 8 12 10 11 6 14 13 16 8 4 12 6 14

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18.

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4 5 6 7 6 7 8 8 8 9 9 9 10 10 10 10 11 11

19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36.

11 11 12 12 12 12 13 13 13 14 14 14 15 15 16 16 17 18

Number facts in seven days

10 16 18 17

Lesson 1, Squares ..... pg 31 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25.

4 9 16 25 36 49 64 81 64 49 36 25 16 9 4 4 16 36 64 9 25 49 81 4 64

26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50.

81 49 9 25 36 16 36 81 25 49 64 36 16 25 49 9 49 64 16 4 81 64 9 36 81

Lesson 2, Twos and squares .............. pg 32 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25.

o c . che e r o t r s super Final test A ................ pg 12

47. 48. 49. 50.

Multiplication facts

Test for day 4 .............. pg 8 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.

9 15 13 12 10 14 11 14 12 12 10 15 8 11 16 6

ew i ev Pr

9 4 7 9 5 9 8 9 6 8 9 8

25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40.

r o e t s Bo r e p ok u S

Test for day 3 .............. pg 7 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.

12 10 14 8 13 10 8 9 14 7 13 14 8 14 15 14

6 8 10 12 14 16 18 16 14 12 10 8 6 18 6 16 8 14 12 10 4 8 12 16 6

m . u

1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24.

26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50.

10 14 18 81 49 4 64 16 81 9 36 64 36 16 25 49 4 25 9 16 36 25 49 64 81

Answers Lesson 3, Fives and review ................ pg 33 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50.

14 30 16 35 18 40 4 45 10 81 40 6 64 35 12 49 30 14 36 45 8 25 16 64 18

Teac he r

Lesson 4, Threes and review ................ pg 34 12 15 18 21 24 27 24 21 18 15 12 6 30 8 35 10 40 12 45 14 81 16 64 18 49

36 40 25 49 9 12 15 36 18 21 49 24 15 27 64 21 18 24 21 18 27 15 16 49 81

20 24 28

19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34.

45 12 15 18 21 24 27 20 24 28 32 36 42 48 54 56

35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50.

63 72 42 56 36 54 63 72 42 63 56 54 40 35 54 54

5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43.

12 8 6 54 28 40 10 12 64 24 18 36 35 48 32 72 81 40 63 48 49 36 63 6 9 8 15 18 16 48 36 4 21 54 25 15 24 28 27

r o e t s Bo r e p ok u S Lesson 6, Sixes, sevens eights and review ...... pg 36 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25.

. te

Lesson 5, Fours and review ................ pg 35 1. 2. 3.

28 20 12 8 6 28 8 32 10 24 12 36 14 28 16 32 18 18 36 81 40 6

42 48 54 56 63 72 63 56 54 48 42 54 48 56 63 4 54 9 56 16 21 25 32 36 42

26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50.

49 20 64 24 81 48 6 72 8 18 10 42 12 63 14 24 16 28 18 36 35 40 45 63 54

Final tests

Final test A ................ pg 46 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18.

4 9 16 25 36 49 64 81 6 8 10 12 14 16 18 30 35 40

19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36.

45 12 15 18 21 24 27 20 24 28 32 36 42 48 54 56 63 72

46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. 60. 61. 62. 63. 64. 65. 66. 67. 68. 69. 70. 71. 72. 73. 74. 75. 76. 77. 78. 79. 80. 81. 82. 83. 84.

26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50.

w ww

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25.

29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50.

26. 36 27. 32 28. 24

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18.

36 8 30 12 24 24 4 40 32 42 16 56 81 12 27 48 64 63

19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36.

72 20 18 49 14 54 18 15 25 6 35 28 45 16 10 36 9 21

o c . che e r o t r s super

Lesson 7, Cumulative review ...................... pg 37 1. 2. 3. 4. 5. 6. 7. 8. 9.

Final test B ............... pg 47

30 56 63 35 54 36 54 42 48 56 27 24 56 16 12 45 42 63 14 30 20 14 18 12 20 24 32 16 27 18 54 63 63 35 28 72 42 72 45

m . u

30 35 40 45 40 35 30 25 30 36 35 49 40 64 45 81 30 6 40 8 45 10 35 12 6

32 36 32 28 24 20 16 30 25 35 36 9 49 40 64 12 81 45 15 21 27 24

ew i ev Pr

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25.

4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25.

4 9 16 25 36 49 64 72 6

10. 11. 12. 13. 14. 15. 16. 17. 18.

8 10 12 14 16 18 30 35 40

Final test C ................ pg 48 1. 2.

42 6

Number facts in seven days

3. 21 4. 10

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