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## Texas Go Math Grade 3 Lesson 14.3 Answer Key Number Patterns

**Unlock the Problem**

A pattern is an ordered set of numbers or objects. The order helps you predict what will come next.

You can use the addition table to explore patterns.

**Activity 1**

Materials; orange and green crayons

Look across each row and down each column. What pattern do you see?

Shade the row and column orange for the addend 0. Compare the shaded squares to the yellow row and the blue column. What pattern do you see?

What happens when you add 0 to a number?

Shade the row and column green for the addend 1. What pattern do you see?

What happens when you add 1 to a number?

Answer: The number will increase by 1

**Math Talk**

**Mathematical Processes**

What other patterns can you find in the addition table?

Answer: Add by 3, Add by 4 Up to add by 10

**More Number Patterns**

A rule can be used to describe a pattern.

**Math Idea**

A rule must be true for the whole pattern.

Look at this number pattern. Find a rule.

Think: What do I do to 1 to get 4? What do I do to 4 to get 7?

Answer:

Explanation:

1+3=4, 4+3=7, 7+3=10, 10+3=13. So updated the number to fine rule

What is a rule for this pattern?

Answer: Add 3

Explanation:

1+3=4, 4+3=7, 7+3=10, 10+3=13. So pattern is Add3.

Use the rule above to write the next three numbers.

1, 4, 7, 10, 13, _____, ______, ______

Answer: next three numbers are 16, 19, 22

Explanation:

1+3=4, 4+3=7, 7+3=10, 10+3=13, 13+3=16, 16+3=19, 19+3=22

Use the rule above to find the missing number.

2, 5, _____, 11, 14

Answer: Missing number is 8

Explanation:

Add 3 rule , which gives missing number is 8

Use the rule Subtract 3 to create a pattern. Write the first five numbers in the pattern.

Think: What number should I start with? What numbers do I get when I subtract 3?

Answer: 13,10,7,4,1

Explanation:

13-10=3, 10-3=7, 7-3=4, 4-3=1

**Share and Show**

**Write a rule for the pattern. Then write the next two numbers.**

Question 1.

21, 26, 31, 36, _____, ______

Rule: ______________

Answer: Rule: Add 5

Next two numbers are 41,46

Explanation:

21+5=26, 26+5=31, 31+5=36, 36+5=41, 41+5=46

**Write a rule for the pattern. Then write the missing number.**

Question 2.

38, 35, _____, 29, 26, 23, 20

Rule: _________________

Answer: Rule: Subtract 3

Missing Number is 32

Explanation:

38-3=35, 35-3=32, 32-3=29, 29-3=26, 26-3=23, 23-3=20

**Use the rule to create a pattern. Write the first five numbers in the pattern.**

Question 3.

Rule: Add 4.

Answer: 1, 5, 9, 13, 17

Explanation:

1+4=5, 5+4=9, 9+4=13, 13+4=17

**Problem Solving**

**Use the table for 4 – 6.**

Question 4.

How much money does Tyrone save each week after Week 1?

Answer: 6

Explanation:

25+6=31, 31+6=37, 37+6=43,43+6=49, 49+6=55

Question 5.

How much money has Tyrone saved by the end of Week 5?

Answer: 55

Explanation:

25+6=31, 31+6=37, 37+6=43,43+6=49, 49+6=55

Question 6.

**Write Math** Tyrone wants to buy a book that costs 75C. If he continues his pattern of saving, will he have enough saved by Week 10? Explain.

Answer: yes.

Explanation: By end of 10th week, he can save 79C, if he continue his pattern of saving. Since

25+6=31, 31+6=37, 37+6=43,43+6=49, 49+6=55, 55+6=61, 61+6=67, 67+6=73, 73+6=79.

So he has enough money to buy a book.

Question 7.

**H.O.T. Use Math** Language Diego created the pattern below. Write a rule for the pattern. Then write the missing number.

42, 43, 45, 48, 52, __________

Answer: 42, 43, 45, 48, 52, 57

Explanation:

The difference will increase by add 1

The difference between 42 and 43 is 1

The difference between 43 and 45 is 2

The difference between 45 and 48 is 3

The difference between 48 and 52 is 4

The difference between 52 and 57 is 5

Question 8.

**H.O.T. Multi-Step** Create your own pattern by starting with a 2-digit number. Write a rule for the pattern so that a 1-digit number is added to find the next number. Write the first five numbers in your pattern.

Answer: 23, 25, 27, 29, 31

Explanation: Pattern started with 2 digit number as 23. Rule is ADD 2. So first five numbers are

23+2=25, 25+2=27, 27+2=29, 29+2=31

**Daily Assessment Task**

**Fill in the bubble for the correct answer choice.**

Question 9.

Analyze Shelly creates the number pattern shown below. Which rule best describes her pattern?

24, 30, 36, 42, 48, _________

(A) Add 6.

(B) Add 8.

(C) Subtract 6.

(D) Subtract 8.

Answer: (A) Add 6

Explanation:

Add 6 is the pattern, Since 24+6=30, 30+6=36, 36+6=42, 42+6=48

Question 10.

What is the next number in the pattern shown below?

58, 54, 50, 46, 42, __________

(A) 44

(B) 36

(C) 38

(D) 41

Answer: (C) 38

Explanation:

Next number is 38. Since 58-4=54, 54-4=50, 50-4=46, 46-4=42, 42-4=38

Question 11.

**Multi-Step** Two patterns are shown below. Jerry wrote a third pattern. The first number of his pattern is the sum of the missing numbers below. What is the first number of the third pattern?

12, 17, _____, 27, 32

34, 30, 26, _____, 18

(A) 5

(B) 22

(C) 4

(D) 44

Answer: (D) 44

Explanation:

12, 17, _____, 27, 32 — Rule is Add 5 and Missing Number is 22.

34, 30, 26, _____, 18 — Rule is Subtract 4 and Missing number is 22

So Sum of missing numbers are 22 +22= 44.

So The first number of his pattern is 44.

**Texas Test Prep**

Question 12.

Which rule best describes the pattern?

85, 80, 75, 70, 65, 60, 55, 50

(A) Add 10.

(B) Subtract 5.

(C) Subtract 10.

(D) Add 5.

Answer: (B) Subtract 5.

Explanation:

85-5=80, 80-5=75, 75-5=70, 70-5=65, 65-5=60, 60-5=55, 55-5=50

### Texas Go Math Grade 3 Lesson 14.3 Homework and Practice Answer Key

**Write the rule for the pattern. Then write the next two numbers.**

Question 1.

23, 26, 29, 32, _____, ____

Rule: ___________

Answer: Rule is Add 3 and Next two numbers are 35, 38

Explanation:

23+3=26, 26+3=29, 29+3=32, 32+3=35, 35+3=38

Question 2.

48, 44, 40, 36, _____, _____

Rule: ___________

Answer: Rule is Subtract 4 and Next two numbers are 32, 28

Explanation:

48-4=44, 44-4=40, 40-4=36, 36-4=32, 32-4=28

**Use the rule to create a pattern. Write the first five numbers in the pattern.**

Question 3.

Subtract 5.

Answer: 39, 34, 29, 24, 19, 14

Explanation:

Subtract 5 number pattern 39, 34, 29, 24, 19, 14 is 39-5=34, 34-5=29, 29-5=24, 24-5=19, 19-5=14

Question 4.

Add 6.

Answer: 10, 16, 22, 28, 34, 40

Explanation:

Add 6 is the pattern, Since 24+6=30, 30+6=36, 36+6=42, 42+6=48

**Problem Solving**

**Use the table for 5-7.**

Question 5.

A craft club is making birdhouses to sell for charity. How many birdhouses do they make at the end of day 4?

Answer: 25

Explanation:

They are selling 4 birdhouses each day. we can find based on pattern. So they sell 25 end of 4 day. Since

13+4=17, 17+4=21, 21+4=25

Question 6.

What is the rule for the pattern of making birdhouses?

Answer: Add 4

Explanation:

They are selling 4 birdhouses each day. we can find based on pattern. Since

13+4=17, 17+4=21, 21+4=25

Question 7.

The club wants to make a total of 45 birdhouses. If they continue the pattern of making birdhouses, on which day will they have 45 birdhouses?

Answer: end of 9 day

Explanation:

They are selling 4 birdhouses each day. we can find based on pattern. Since

13+4=17, 17+4=21, 21+4=25, 25+4=29, 29+4=33, 33+4=37, 37+4=41, 41+4=45

Question 8.

Nadia created the pattern below. Write a rule for the pattern. Then write the missing number.

10, 11, 9, 10, 8, 9, _________

Answer: 7

Rule is increase by 1 and decrease by 2

Explanation:

10, 11, 9, 10, 8, 9 decrease by 2 that is 7

**Lesson Check **

**Fill in the bubble completely to show your answer.**

Question 9.

Axle creates this number pattern. Which rule best describes his pattern?

39, 34, 29, 24, 19, _______

(A) Subtract 4.

(B) Add 4.

(C) Subtract 5.

(D) Add 5.

Answer: (C) Subtract 5.

Explanation:

Axle created Subtract 5 number pattern because 39-5=34, 34-5=29, 29-5=24, 24-5=19, 19-5=14

So next number in the pattern is 14.

39, 34, 29, 24, 19, 14

Question 10.

Latisha creates this number pattern. Which rule best describes her pattern?

5, 12, 19, 26, 33, ________

(A) Add 6.

(B) Add 7.

(C) Subtract 6.

(D) Subtract 7.

Answer: (B) Add 7.

Explanation:

Latisha created Add 7 number pattern. Since

5+7=12, 12+7=19, 19+7=26, 26+7=33, 33+6=39. So next number in the pattern is

5, 12, 19, 26, 33, __39__

Question 11.

Darla writes the number pattern shown below. What is the next number?

53, 50, 47, 44, 41, ________

(A) 42

(B) 40

(C) 39

(D) 38

Answer: (D) 38

Explanation:

53, 50, 47, 44, 41, ________ Next Number is 38. Since

53-3=50, 50-3=47, 47-3=44, 44-3=41, 41-3=38

Question 12.

Soo Jin writes the number pattern shown below. What is the next number?

54, 60, 66, 72, 78, _______

(A) 85

(B) 80

(C) 79

(D) 84

Answer: (D) 84

Explanation:

54, 60, 66, 72, 78, _______ Next number is 84. Since

54+6=60, 60+6=66, 66+6=72, 72+6=78, 78+6=84

Question 13.

**Multi-Step** Rodney writes this number pattern. Which of the patterns has the same number that comes next?

13, 16, 19, 22, ________

(A) 5, 10, 15, 20, ________

(B) 16, 18, 20, 22, ________

(C) 6, 12, 18, 24, ________

(D) 12, 15, 18, 21, ________

Answer: (A) 5, 10, 15, 20, ________

Explanation:

In Rodney written pattern 13, 16, 19, 22, ___25_____ next number is 25. Since

13+3=16, 16+3=19, 19+3=22, 22+3=25.

Then option A is the answer because same number comes next in that pattern.

5, 10, 15, 20, ___25_ Since

5+5=10, 10+5=15, 15+5=20, 20+5=25

Question 14.

**Multi-Step** The missing numbers in these two patterns add up to a secret number. What is the secret number?

15, 21, ________, 33, 39

19, ________, 27, 31, 35

(A) 27

(B) 23

(C) 40

(D) 50

Answer: (D) 50

Explanation:

15, 21, ___27_____, 33, 39

15+6 =21, 21+6=27, 27+6=33, 33+6=39

19, __23______, 27, 31, 35

19+4=23, 23+4=27, 27+4=31, 31+4=35

So 27+23=50