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Multiplication Mastery

A foundational collection of multiplication reference charts and skip-counting tools designed to build fact fluency from 1 to 15.

TPTrinity Peters

Multiplication Mastery

A foundational collection of multiplication reference charts and skip-counting tools designed to build fact fluency from 1 to 15.

TPTrinity Peters

Times Table Reference Chart

MULTIPLICATION CHART

Factors 1 through 15 • Master Reference Guide

Name:

Date:

×	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
1	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
2	2	4	6	8	10	12	14	16	18	20	22	24	26	28	30
3	3	6	9	12	15	18	21	24	27	30	33	36	39	42	45
4	4	8	12	16	20	24	28	32	36	40	44	48	52	56	60
5	5	10	15	20	25	30	35	40	45	50	55	60	65	70	75
6	6	12	18	24	30	36	42	48	54	60	66	72	78	84	90
7	7	14	21	28	35	42	49	56	63	70	77	84	91	98	105
8	8	16	24	32	40	48	56	64	72	80	88	96	104	112	120
9	9	18	27	36	45	54	63	72	81	90	99	108	117	126	135
10	10	20	30	40	50	60	70	80	90	100	110	120	130	140	150
11	11	22	33	44	55	66	77	88	99	110	121	132	143	154	165
12	12	24	36	48	60	72	84	96	108	120	132	144	156	168	180
13	13	26	39	52	65	78	91	104	117	130	143	156	169	182	195
14	14	28	42	56	70	84	98	112	126	140	154	168	182	196	210
15	15	30	45	60	75	90	105	120	135	150	165	180	195	210	225

n² SQUARES 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225

Diagonal Highlight

×13 Split 10 + 3

Multiply by 10, multiply by 3, then add.
13 × 7 = 70 + 21 = 91

×14 Double the 7s

Multiply by 7, then double your result.
14 × 6 = (7 × 6) × 2 = 84

×15 10× Plus Half

Multiply by 10, then add half of that amount.
15 × 8 = 80 + 40 = 120

Mirror Math: \(a \times b = b \times a\) (e.g. \(13 \times 5 = 5 \times 13 = 65\))

Ends in 0 or 5: All multiples of 15 alternate ending in 0 and 5

Even Products: Multiples of 14 are all even numbers

Twelve Times Table Chart

12×12 TIMES TABLE

Multiplication Grid • Factors 1 through 12

Name:

Date:

×	1	2	3	4	5	6	7	8	9	10	11	12
1	1	2	3	4	5	6	7	8	9	10	11	12
2	2	4	6	8	10	12	14	16	18	20	22	24
3	3	6	9	12	15	18	21	24	27	30	33	36
4	4	8	12	16	20	24	28	32	36	40	44	48
5	5	10	15	20	25	30	35	40	45	50	55	60
6	6	12	18	24	30	36	42	48	54	60	66	72
7	7	14	21	28	35	42	49	56	63	70	77	84
8	8	16	24	32	40	48	56	64	72	80	88	96
9	9	18	27	36	45	54	63	72	81

Decimal Division Reference Guide

DECIMAL DIVISION MASTER GUIDE

Step-by-Step Rules for All 3 Division Cases

Name:

Date:

Anatomy: Dividend (inside house) ÷ Divisor (outside house) = Quotient (on the roof)

D → M → S → B (Divide, Multiply, Subtract, Bring Down)

1

When the Dividend Has a Decimal (Divisor is Whole)

Rule: "Raise the Roof!"

A

Float point straight up: Place the decimal onto the quotient line (the roof) directly above the dividend.

B

Divide normally: Ignore decimal during calculation. Follow standard steps (divide, multiply, subtract, bring down).

C

No remainders in decimals: If numbers remain after subtracting, annex extra zeros to dividend and keep dividing.

Example: \(14.8 \div 4 = 3.7\)

4

3.7

14.8

-12

28

-28

0

2

When the Divisor Has a Decimal (Outside House)

Rule: "Shift & Balance!"

A

Make divisor whole: Count hops right until divisor is whole (\(0.25 \xrightarrow{\times 100} 25\)).

B

Shift dividend equally: Hop dividend the exact same number of places right (\(7.50 \xrightarrow{\times 100} 750\)).

C

Divide normally: Now divide using the whole divisor. Multiplying both by 100 keeps quotient identical!

Shift: \(7.5 \div 0.25\) 25)750

25

30

750

-75

00

-0

0

3

When the Divisor is Larger than Dividend (\(divisor > dividend\))

Rule: "Zero & Annex!"

A

Recognize answer < 1: Divisor doesn't fit into whole number; place 0. on quotient line first.

B

Annex zeros after decimal: Add decimal point and zeros to dividend (\(3 \rightarrow 3.00\)). Value doesn't change!

C

Divide into tenths/hundredths: Divide into 30, 300, etc., until there is zero remainder or a repeating pattern.

Example: \(3 \div 8 = 0.375\)

8

0.375

n²

Square Numbers (Golden Diagonal)

Multiplying a factor by itself produces a square: \(1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144\).

Turnaround Rule (Commutative Property)

Flip the factors, the product stays the same! \(7 \times 8 = 8 \times 7 = 56\). Half the grid is a mirror image.

×4 Double-Double

Double the number, then double again: \(6 \times 2 = 12 \rightarrow 24\).

×9 Sum-to-9

Multiples of 9 have digits that sum to 9: \(9 \times 7 = 63\) (\(6 + 3 = 9\)).

×11 Twin Digits

For 1–9, write the digit twice: \(11 \times 6 = 66\).

×12 Break-Apart

Multiply by 10, multiply by 2, and add: \(50 + 10 = 60\).

How to Use: Slide across the top row to your first factor, down the left column to your second factor, and meet at the answer! Facts 1–12

3.000

-24

60

-56

40

-40

0

What is Annexing?

Annexing means adding extra zeros to the right of the decimal point: \(5 = 5.0 = 5.000\). The value never changes!

Estimate to Check

Round before dividing: \(14.8 \div 4 \approx 16 \div 4 = 4\). If your answer is \(37\), you know the point was misplaced!

Golden Safety Rule

Never divide by a decimal! Always hop the point to make the divisor a whole number before you start dividing.

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