Algebraic Thinking: Function Tables and Rules

Algebraic Thinking: Function Tables and Rules

Poll

WARM-UP: Find the Function Rule (Warm-ups do not count as part of your score. The correct answer is on the next slide.)

Q: 1 3 4 6 R: 2 6 8 12

• R=2q

• R=2xq

• Q=2r

• Q=2xr

• Q=r

Answer:

R=2q

t=x/5 + 6

Say that 10 substitutes for X. In your mind, change the X to 10. This is equal to a whole number: 2. Add 6 as it says in the equation. your sum is the number that substitutes for T, in this case, 16.

P=5b

In the function table, say that b is 6. Change the b to 6, and then multiply 5 by b (6). the product (30) is the number that substitutes for P.

Multiple Choice

M: | 1 | 2 | 3 | 4 | 5 | 6 |

Q: | 4 | 8 | ? | 16 | 20 |

Q= 4m

• 10

• 25

• 12

• 0

Poll

WARM-UP: Find the Function Rule.

A: 3 6 9 15 C: 6 12 18 30

• C=2xa

• C=2a

• A=2c

• A=2xc

Answer:

C=2a

Function Rule: E=A/6 x 2

Say that "A" is 18. This fraction is equivalent to 3. Now, we also have the "x2" so take the 3, and times it by 2. E is 6, because 6 is the product.

Multiple Choice

Write the rule for the table.

• y = 3x + 4

• y = 4x + 3

• y = 3x

• Not Linear

Multiple Choice

Write the rule for the table.

• y = 30x

• y = 3x + 24

• y = -2x + 30

• Not Linear

Multiple Choice

Write the rule for the table.

• y = 1x + 2

• y = -1x + 3

• y = x - 3

• Not Linear

Let's review!

• The numbers substitute letters in the equation. The product or sum is the letter in the very beginning.

• The same is said for fractions. All numbers are whole numbers, and if that letter is a numerator, the number substituting it must create a whole number.

• These two above are called Function Rules.

Function Tables and Rules

LESSON COMPLETED