M3A1. Students will use mathematical expressions to represent relationships M3A1. Students will use mathematical expressions to represent relationships

between quantities and interpret given expressions. between quantities and interpret given expressions.

a. Describe and extend numeric and geometric patterns. a. Describe and extend numeric and geometric patterns.

c. Use a symbol, such as □ and Δ, to represent an unknown and find the value of c. Use a symbol, such as □ and Δ, to represent an unknown and find the value of

the unknown in a number sentence. the unknown in a number sentence.

33rdrd Grade Grade AlgebraAlgebra

Function Function MachinesMachines

Numbers were placed into a special function machine. The numbers on the left were the numbers placed in the machine and the numbers on the right were the result of the machine’s work. On each problem, the machine did something different. Find the missing numbers and beside each write or describe a rule that the machine used:

ININ OUTOUT2

???

3 6

4 8

5

4

What is the next number in this function table? What is the “rule” for

this table?

The next number The next number is 10is 10

and the “Rule” isand the “Rule” ismultiply the multiply the input by 2input by 2

ININ OUTOUT1

11

3 5

6 8

???

3

What is the next number in this function table? What is the “rule” for

this table?

The missing The missing number is 9number is 9

and the “Rule” isand the “Rule” isadd 2 to the add 2 to the

inputinput

ININ OUTOUT5

0

10 6

12 8

???

1

What is the next number in this function table? What is the “rule” for

this table?

The next number The next number is 4is 4

and the “Rule” isand the “Rule” issubtract 4 from subtract 4 from

the inputthe input

ININ OUTOUT7

???

3 21

10 70

5

49

What is the next number in this function table? What is the “rule” for

this table?

The next number The next number is 35is 35

and the “Rule” isand the “Rule” ismultiply the multiply the input by 7input by 7

ININ OUTOUT2

100

3 9

4 16

???

4

What is the next number in this function table? What is the “rule” for

this table?

The next number The next number is 10is 10

and the “Rule” isand the “Rule” ismultiply the multiply the

input by itselfinput by itself

ININ OUTOUT2

???

4 8

8 16

???

4

What is the next number in this function table? What is the “rule” for

this table?

The next numbers The next numbers are 16 and 32are 16 and 32

and the “Rule” isand the “Rule” isthe output becomes the output becomes the new input and the new input and

the output is double the output is double the input.the input.

ININ OUTOUT30

???

??? ???

42 7

???

5

What are the missing numbers in this function table? What is the “rule” for this

table?

The missing pairs The missing pairs of numbers are of numbers are 36,6 and 48,836,6 and 48,8

and the “Rule” isand the “Rule” ismultiply the multiply the input by 6input by 6

Practice ProblemsPractice Problems

Practice ProblemsPractice ProblemsClick on a Number to BeginClick on a Number to Begin

Function Tables Equations

1 11

2 12

3 13

4 14

5 15

6 16

7 17

8 18

9 19

10 20

End Game

Question 1Question 1

Olivia is planting a row of flowers. She is Olivia is planting a row of flowers. She is planting the same number of flowers in planting the same number of flowers in each row. How many flowers in total are each row. How many flowers in total are planted in 7 rows? planted in 7 rows?

Number of Rows 4 5 6 7 8

Total Flowers 28 35 42 ? 56

48 49

Question 2Question 2

Ms. Wormley’s class has been practicing Ms. Wormley’s class has been practicing their multiplication facts. The chart their multiplication facts. The chart above shows how many multiplication above shows how many multiplication facts that her students can do in different facts that her students can do in different amounts of minutes. How many amounts of minutes. How many multiplication problems can the class do multiplication problems can the class do in 4 minutes?in 4 minutes?

Number of Minutes 3 4 5 6 7 8

Number of Multiplication

Problems36 ? 60 72 84 96

48 50

Question 3Question 3

If the pattern continues, how many fruit If the pattern continues, how many fruit will be on the 5will be on the 5thth row? row?

15 13

Question 4Question 4

What is the rule for the numbers in the What is the rule for the numbers in the sequence below?sequence below?

54, 51, 48, 45, 4254, 51, 48, 45, 42

Each number in the sequence is 3 less than the previous number.

Each number in the sequence is a multiple of 3.

Question 5Question 5

If the pattern continues, what will the If the pattern continues, what will the next 2 pictures look like?next 2 pictures look like?

? ?

Question 6Question 6

What is the missing number in the What is the missing number in the sequence?sequence?

55, 63, 71, ?, 87

79 80

Question 7Question 7

If the pattern continues, what If the pattern continues, what will the next picture look like?will the next picture look like?

Question 8Question 8 If the pattern continues, how If the pattern continues, how

many squares will be in the 4many squares will be in the 4thth figure?figure?

4035

Question 9Question 9

What is the rule for this What is the rule for this sequence of numbers?sequence of numbers?

745, 715, 685, 655, 625745, 715, 685, 655, 625

Each number in the sequence is 20 less than the previous number.

Each number in the sequence is 30 less than the previous number.

Question 10Question 10

If the pattern continues, how many If the pattern continues, how many squares will be in the 4squares will be in the 4thth figure? figure?

26 24

Question 11Question 11

Which number makes this number Which number makes this number sentence true?sentence true?

14 + =2014 + =20

6 8

Question 12Question 12

Which number makes this number Which number makes this number sentence true?sentence true?

10 + + 31 = 5510 + + 31 = 55

15 14

Question 13Question 13

Which number makes this number Which number makes this number sentence true?sentence true?

7 = 107 = 10

77 70

Question 14Question 14

Which number makes this number Which number makes this number sentence true?sentence true?

55 – 7 - ? = 2155 – 7 - ? = 21

27 17

Question 15Question 15

Which number makes this number Which number makes this number sentence true?sentence true?

6 = 426 = 42

12 7

Question 16Question 16

Which number makes this number Which number makes this number sentence true?sentence true?

18 = ? 218 = ? 2

6 9

Question 17Question 17

Which number makes this number Which number makes this number sentence true?sentence true?

- 3 = 7 + 3- 3 = 7 + 3

13 10

Question 18Question 18

Which number makes this number Which number makes this number sentence true?sentence true?

48 8 = ?48 8 = ?

6 8

Question 19Question 19

Which number makes the number Which number makes the number sentence true?sentence true?

34 + ? + 16 = 5634 + ? + 16 = 56

10 6

Question 20Question 20

Which number makes this number Which number makes this number sentence true?sentence true?

52 – 6 - ? = 3152 – 6 - ? = 31

15 14

That’s Right!!!That’s Right!!!

Oops! Wrong AnswerOops! Wrong Answer