Constructing Basic Facts KnowledgeBuilding a Teaching, Learning and Assessment Model

Chanda Pinsentand Sandi Tait-McCutcheon

A: Basic Facts Set+ 0 1 2 3 4 5 6 7 8 9 100 0 1 2 3 4 51 1 2 3 4 52 2 3 4 53 3 4 54 4 55 56789

Notes

About 5

B: Teaching

· Adding & Subtracting with One Hand, B5, p.8 (CA) · Using One Hand, B5, p. 12 (CA)

· Using 10’s Frames, Bk. 5, p. 13 (CA)

· Adding & Subtracting with Counters, B5, p.7 (CA)· Both Hands, Bk. 5, p. 13 (CA)· Imaging with 10’s Frames, B5, p. 14 (CA)· Adding in Parts, B5, p. 29 (EA)

· Fly Flip, B5, p. 9 (CA)· Using Fives, B5, p. 9

(CA)C: Practice

Numeracy Books· Up to Ten, B4, p. 32 (CA-EA)· Using the Slavonic Abacus, · B4, p. 33 (CA-AA)

Material Masters· MM 5-9 Murtles 5

NZMaths· NZMaths Number Facts. Facts of

Five· NZMaths Number Facts Blast Off

· NZMaths Number Facts Party Time· NZMaths Number Facts 1-1 Tens

Figure It Out· FIO Basic Facts 2-3 Twenty-Seven p.15.· FIO Number L2 B2 Flexible Fingers p.8/9.

A: Basic Facts Set+ 0 1 2 3 4 5 6 7 8 9 100 0

1 2

2 4

3 6

4 8

5 10

6789

Notes

Doubles to 10

B: Teaching· Fair Shares, B7, p. 2 (CA)

C: Practice

A: Basic Facts Set+ 0 1 2 3 4 5 6 7 8 9 100 101 102 103 104 105 106 107 108 109 1010 10

Notes

Make 10

B: Teaching

· Making Tens, B5, p. 16 (CA) · Make Ten, B5, p. 26 (EA)

· Tens Frames Again, B4, p. 34 (CA-AA)

· Patterns to Ten, B4, p. 34 (CA-EA)

·

C: Practice

NZMaths· NZMaths Number Facts Go Fish· NZMaths Number Facts Buttons to 10· NZMaths Number Facts Buttons and Frames· NZMaths Number Facts Patterns to 10· NZMaths Operating With Number. Make a 10

Figure It Out· FIO Number L2 B1 Birthday Time p.18

A: Basic Facts Set0 1 2 3 4 5 6 7 8 9 10

0 0 1 2 3 4 5 6 7 8 9 101 1 2 3 4 5 6 7 8 9 102 2 3 4 5 6 7 8 9 103 3 4 5 6 7 8 9 104 4 5 6 7 8 9 105 5 6 7 8 9 106 6 7 8 9 107 7 8 9 108 8 9 109 9 1010 10

Notes

Within 10

B: Teaching

· Challenging Hands Problems, B5, p.10 (CA) · Crossing the 5 Barrier, B5, p.

16 (CA)· NZMaths Number

Facts Addition and Sub-traction 10

C: Practice

Figure It Out· FIO Basic Facts 3-4 Bunches p.1

A: Basic Facts Set+ 0 1 2 3 4 5 6 7 8 9 100 101 112 123 134 145 156 167 178 189 1910 10 11 12 13 14 15 16 17 18 19 20

Notes

From 10

B: Teaching

· The Number Strip, B5, P. 19, (AC) · The Bears’ Picnic, B5, p. 20

(AC) · Frog Jumps, B5, p.

20, (AC)· Adding in Parts, B5, p. 29 (EA)· Comparisons, Bk. 5, p. 29 (EA)·

C: Practice

Material Masters· MM 4-34 Bridges· MM 4-29 Addition Flash Cards

A: Basic Facts Set+ 0 1 2 3 4 5 6 7 8 9 100 9 10

1 9 11

2 9 12

3 9 13

4 9 14

5 9 15

6 9 16

7 9 17

8 9 18

9 9 1910 10 11 12 13 14 15 16 17 18 19 20

Notes

Add/Subtract 10 and 9

B: Teaching

· Ten Sweets Per Packet, B5, p. 17, (AC) · Adding Tens, B5, p.22, (AC)

· Subtracting Tens, B5, p. 23 (AC)

· Jumping the Number Line, B5, p. 33 (EA)

C: Practice

Material Masters· MM 4-36 Hundreds Board Snakes

Figure It Out· FIO Number L2 B2 Hunting the Taniwha p.7.· FIO Year 7-8 Link Book 1 Fund-raising p.6.· FIO Basic Facts 3 Nines and Eights p.4. Sub 8/9

A: Basic Facts Set+ 0 1 2 3 4 5 6 7 8 9 10012 113 11 124 11 12 135 11 12 13 146 11 12 13 14 157 11 12 13 14 15 168 11 12 13 14 15 16 179 11 12 13 14 15 16 17 1810

Notes

Bridge 10

B: Teaching

C: Practice

Material Masters· MM 4-34 Bridges· FIO Basic Facts 3-4 Magical Tens p.11.

A: Basic Facts Set+ 0 1 2 3 4 5 6 7 8 9 100 01 22 43 64 85 106 127 148 169 1810 20

Notes

Doubles and Halves to 20

B: Teaching

· Fair Shares, Bk 7, p. 2 (CA) · NZMaths Operating With

Number. Smart Doubling.

C: Practice

Numeracy Books· Double Trouble, Bk. 4, p. 32 (AC-EA)

Material Masters· MM 4-33 Double Somersaults

FIO· FIO Number L2 B1 Helping Hands p.3·

· FIO Number L2 B2 It’s Not Fair p.15.

· FIO Year 7-8 Link Book 1 Firewood Fever p.16/17

Beginning School Mathematics· ·BSM 10-1-6 Seeing Double · BSM 10-1-47 Double Trouble· BSM 10-1-48 Double Happy· BSM 10-1-83 Double the Pattern· BSM 12-1-86 Double the Number

A: Basic Facts Set+ 0 1 2 3 4 5 6 7 8 9 100 0 1 2 3 4 5 6 7 8 9 10

1 1 2 3 4 5 6 7 8 9 10 11

2 2 3 4 5 6 7 8 9 10 11 12

3 3 4 5 6 7 8 9 10 11 12 13

4 4 5 6 7 8 9 10 11 12 13 14

5 5 6 7 8 9 10 11 12 13 14 15

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

7 7 8 9 10 11 12 13 14 15 16 17

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

9 9 10 11 12 13 14 15 16 17 18 19

10 10 11 12 13 14 15 16 17 18 19 20

Notes

Within 20

B: Teaching

· Teens and Fingers, Bk 5, p. 10 (CA)· Imaging Many Hands, Bk. 5, p.

15 (CA)·

C: Practice

Material Masters· MM 4-35 Number Boggle

NZMaths · NZMaths Number Facts Jumping Beans· NZMaths Number Facts Target Practice· NZMaths Number Facts. Bridging to Ten· NZMaths Number Facts. Pocket Facts· NZMaths Number Facts. Subtraction Game Counting

Counts

Figure It Out· FIO Basic Facts 2-3 One Liner p.1

· FIO Basic Facts 2-3 Adding Adders p.7 · FIO Basic Facts 2-3 Stay On Line p.19. · FIO Basic Facts 3 Animal Antics p.1. · FIO Basic Facts 3 Beat Yourself Down p.2/3. · FIO Basic Facts 3 Four in a Row p.7. · FIO Basic Facts 3 Array Puzzles p.8.

A: Basic Facts SetX 0 1 2 3 4 5 6 7 8 9 100 0 0 0

1 2 5 10

2 0 2 4 6 8 10 12 14 16 18 20

3 6 15 30

4 8 20 40

5 0 5 10 15 20 25 30 35 40 45 50

6 12 30 60

7 14 35 70

8 16 40 80

9 18 45 90

10 0 10 20 30 40 50 60 70 80 90 100

Notes

2’s, 5’s and 10’s

B: Teaching

· Number Strips Bk 6, p.3. (CA-AC) · Animal Arrays Bk6, p.6.(AC-

EA)· Twos, Fives and Tens

Bk 6, p.9. (AC-EA)

· NZMaths Operati-ing With Number: Skip It To Count It

C: Practice

Numeracy Books· Multiplication Madness B4, p.36.

Material Masters· MM 6-3 Loopy A

Figure It Out· FIO Basic Facts 2-3. Loopy p.23.

· FIO Number L2 B1 Mighty Larty p.16.· FIO Y7/8 Link B1 Fives and Tens p.4/5.

· FIO Y7/8 Link B2 Table Tricks p.2/3

A: Basic Facts SetX 0 1 2 3 4 5 6 7 8 9 100 0 0

1 4 8

2 8 16

3 12 24

4 0 4 8 12 16 20 24 28 32 36 40

5 20 40

6 24 48

7 28 56

8 0 8 16 24 32 40 48 56 64 72 80

9 36 72

10 40 80

Notes

4’s and 8’s

B: Teaching

· Fun With Fives Bk 6, p.12. (EA-AA) · A Little Bit More/A Little Bit

Less Bk 6, p.15. (EA-AA)· Turn Abouts Bk 6,

p.17. (EA-AA)

C: Practice

Figure It Out· FIO Basic Facts 2-3. Dicing Times p.2.· FIO Basic Facts 2-3. Magnificent Multiples p.18.· FIO Basic Facts 2-3. Times Up p.8.· FIO Basic Facts 2-3. An Apple A Day p.9. · FIO Basic Facts 2-3. On Track p.10.· FIO Basic Facts 2-3 Six Shooters p.24.

· FIO Basic Facts 3 Choco-Blocks p.10

· FIO Basic Facts 3 Factor Puzzles p.11.· FIO Basic Facts 3 Stars and Students p.12.

· FIO Basic Facts 3 The Field of 100 Sheep p.16/17.· FIO Basic Facts 3 Multiple Mirrors p.21.

A: Basic Facts SetX 0 1 2 3 4 5 6 7 8 9 100 0 0 01 3 6 92 6 12 183 0 3 6 9 12 15 18 21 24 27 304 12 24 365 15 30 456 0 6 12 18 24 30 36 42 48 54 607 21 42 638 24 48 729 0 9 18 27 36 45 54 63 72 81 9010 30 60 90

Notes

3’s, 6’s and 9’s

B: Teaching

· Number Strips Bk 6, p.3. (CA-AC) · Animal Arrays Bk6, p.6.(AC-

EA)· Fun With Fives Bk 6,

p.12. (EA-AA)· A Little Bit More/A Little Bit Less Bk 6, p.15. (EA-AA)· Turn Abouts Bk 6, p.17. (EA-AA)

C: Practice

Figure It Out· FIO Basic Facts 2-3. Dicing Times p.2.· FIO Basic Facts 2-3. Magnificent Multiples p.18.· FIO Basic Facts 2-3. Times Up p.8.· FIO Basic Facts 2-3. An Apple A Day p.9. · FIO Basic Facts 2-3. On Track p.10.· FIO Basic Facts 2-3 Six Shooters p.24.

· FIO Basic Facts 3 Choco-Blocks p.10

· FIO Basic Facts 3 Factor Puzzles p.11. · FIO Basic Facts 3 Stars and Students p.12.

· FIO Basic Facts 3 The Field of 100 Sheep p.16/17.· FIO Basic Facts 3. Multiple Mirrors p.21.

A: Basic Facts SetX 0 1 2 3 4 5 6 7 8 9 100 01 72 143 214 285 356 427 0 7 14 21 28 35 42 49 56 63 708 569 6310 70

Notes

7’s

B: Teaching

C: Practice

Figure It Out· FIO Basic Facts 2-3. Times Up p.8.· FIO Basic Facts 2-3. An Apple A Day p.9. · FIO Basic Facts 2-3. On Track p.10.· FIO Basic Facts 2-3 Six Shooters p.24.· FIO Basic Facts 3 Choco-Blocks p.10· FIO Basic Facts 3 Factor Puzzles p.11.· FIO Basic Facts 3 Stars and Students p.12.

· FIO Basic Facts 3 The Field of 100 Sheep p.16/17.

· FIO Basic Facts 3. Multiple Mirrors p.21.

A: Basic Facts SetX 10 100 1 00010 100 1 000 10 000

100 1 000 10 000 100 000

1 000 10 000 100 000 1 000 000

Notes

X 10, 100, 1 000

B: Teaching

· Multiplying Tens Bk 6, p.14. (EA-AA) · Very Large Numbers B8,

p.39. (AP)

· NZMaths Operating With Number L6 Ex-ponent Power

C: Practice

A: Basic Facts SetX 0 1 2 3 4 5 6 7 8 9 100 0 0 0 0 0 0 0 0 0 0 0

1 0 1 2 3 4 5 6 7 8 9 10

2 0 2 4 6 8 10 12 14 16 18 20

3 0 3 6 9 12 15 18 21 24 27 30

4 0 4 8 12 16 20 24 28 32 36 40

5 0 5 10 15 20 25 30 35 40 45 50

6 0 6 12 18 24 30 36 42 48 54 60

7 0 7 14 21 28 35 42 49 56 63 70

8 0 8 16 24 32 40 48 56 64 72 80

9 0 9 18 27 36 45 54 63 72 81 90

10 0 10 20 30 40 50 60 70 80 90 100

Notes

Division Facts

B: Teaching

· Pirate Crews Bk 6, p.7. (AC-EA)· Biscuit Boxes Bk 6, p.8. (AC-

EA) · Long Jumps Bk 6,

p.19. (EA-AA)· Goesintas Bk 6, p.20. (EA-AA)· Proportional Packets Bk 6, p.28. (AA-AM)· The Royal Cook-ing Lesson Bk6, p.30.

(AA-AM)· Remainders Bk6,

P.32. (AA-AM)C: Practice

Figure It Out· FIO Basic Facts 2-3 A Sticky Problem p.20.· FIO Basic Facts 2-3 Heading For Home p.11.· FIO Basic Facts 3 It Remains To Be Seen p.22.

A: Basic Facts Set Set name fraction decimal percentagehalves 1/2 .5 50%thirds 1/3, 2/3 .33, .66 33 %, 66%quarters ¼, 3/4 .25, .75 25%, 75%eighths 1/8 .125 12.5% (GST)fifths 1/5, 2/5, 3/5,

4/5.2, .4, .6, .8 20%, 40%,

60%, 80%tenths 1/10, etc. .1, etc. 10%, etc.

Notes

Fraction Decimal Percentage Conversions

B: Teaching

· Deci-Mats Bk 7, p.25. (AA-AM)· GST Rules, B8 p.46. (AP)

· Estimating Percent-ages Bk 8, p.26. (AM)

C: Practice

Material Master· MM 4-17 Loopy· MM 4-28 Percentage, Fraction and Decimal Equivalents· MM S-1 Decitrails· MM 7-5 Percents

Figure It Out· FIO Basic Facts 3-4 Mystery

Decimals p.21.

A: Basic Facts Set Number is divisible by…

If…

2 Number is even5 Last digit is 0 or 510 Last digit is 03 Sum of digits is divisible by 39 Sum of digits is divisible by 96 Number is divisible by both 2 and 34 Last two digits as a number are divisible

by 48 Last three digits as a number are divisible

by 8

Notes

Divisibility

B: Teaching

· Nines and Threes Bk 6, p.38. (AA-AM) · Divisibility Rules, Bk 8

p.33. (AM)

C: Practice

A: Basic Facts SetRoot Square Cube1 1 12 4 83 9 274 16 645 25 1256 36 2167 49 3438 64 5129 81 72910 100 1000

Notes

Squares and Cubes

B: Teaching

· Powerful Nummbers Bk 6, p.40. (AA-AM) · Squaring Bk 8, p.28. (AM)

· Cube and Cube Roots Bk 8, p.30. (AM)

· NZMaths Operat-ing With Number L4 Square and Cube Roots

C: Practice

A: Basic Facts Set: Primes to 1002, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

Notes

Prime Numbers To 100

B: Teaching

· Little Bites at Big Multiplications and Divisions Bk 6, p.42/43 (AM-AP)

· Prime Numbers Bk 8, p.32. (AM)

· Factor Trees Bk 8, p.33. (AM) · NZMaths Op-erating With Number L3 A Prime Search

C: Practice

Material Masters· MM 6-10 Factor Leap-frog

Figure It Out· FIO Basic Facts 2-3 A Matter of Factor p.12.· FIO Basic Facts 2-3 How Many Factors p.15· FIO Basic Facts 2-3 Primates p.22/23

A: Basic Facts SetFactors of Numbers to 100Highest Common Factor

Example:Factors of 25: 1, 5, 25 30: 1, 2, 3, 5, 6, 10, 15, 30

HCF: 5

Notes

Highest Common Factor

B: Teaching

· Highest Common Factor Bk 8, p.39. (AP)

C: Practice

Material Masters· MM S-2a Proportional Puzzle

A: Basic Facts SetMultiples to 100 of Numbers to 10Lowest Common Multiple

Example:Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30…8: 8, 16, 24, 32, 40…

LCM: 24

Notes

Lowest Common Multiple

B: Teaching

· Lowest Common Multiple Bk 8, p.40. (AP)

C: Practice

NZMaths· NZMaths Number Facts L2 Multiple Patterns