Study the patterns below to determine the next five numbers in each sequence. You may use the calculator to check your answers.

1. 2, 4, 6, 8, 10...2. 5, 10, 15, 20, 25... 3. 3, 6, 9, 12, 15…4. 10, 20, 30, 40, 50…5. 11, 22, 33, 44, 55…

MIA U3D1 Warmup:

12, 14, 16, 18, 20

30, 35, 40, 45, 50

18, 21, 24, 27, 30

60, 70, 80, 90, 100

66, 77, 88, 99, 110

To determine if data represents a function and if it is a function to find the function rule of that data.

MIA U3D1 Now-Next Functions

OBJ:

Take out a clean sheet of paper to answer questions from the slideshow. You WILL be turning this in. There are 6 MC and 2 Short answer questions.

Functions Pre-Assessment:

Functions Pre-Assessment:

Functions Pre-Assessment:

Functions Pre-Assessment:

Functions Pre-Assessment:

Functions Pre-Assessment:

Functions Pre-Assessment:

SequenceIndependent VariableDependent VariableDomainRange

Define…

Sequence: a list of numbers where each term is based on the previous term or a combination of previous terms using a set pattern or rule.

Independent Variable:Dependent VariableDomainRange

Define:

Sequence: a list of numbers where each term is based on the previous term or a combination of previous terms using a set pattern or rule.

Independent Variable: represents the input

Dependent Variable: DomainRange

Define:

Sequence: a list of numbers where each term is based on the previous term or a combination of previous terms using a set pattern or rule.

Independent Variable: represents the input

Dependent Variable: represents the output

Domain:Range

Define:

Sequence: a list of numbers where each term is based on the previous term or a combination of previous terms using a set pattern or rule.

Independent Variable: represents the input

Dependent Variable: represents the output

Domain: the set of all inputs or x-values.

Range:

Define:

Sequence: a list of numbers where each term is based on the previous term or a combination of previous terms using a set pattern or rule.

Independent Variable: represents the input

Dependent Variable: represents the output

Domain: the set of all inputs or x-values.

Range: the set of all outputs or y-values.

Define:

How to write an equation in Now-Next Form.1. Note the Start number.2. Decide how the pattern is changing.3. Write the equation.

3, 7, 11, 15, 19, …1. Start at 32. Adding 43. Next = Now + 4; Start at 3

Now-Next

Follow along on the handout…

5, 10, 15, 20…

1. Note the Start number.2. Decide how the pattern is changing.3. Write the equation.

1. Start at 52. Adding 53. Next = Now + 5; Start at 5

Ex 1:

2, 4, 8, 16, 32…

1. Note the Start number.2. Decide how the pattern is changing.3. Write the equation.

NEXT= NOW ● 2; Start at 2

Ex 2:

Ex 3:

Term Value 1 -3 2 6 3 -12 4 24 5 -48

NEXT= NOW ● –2; Start= -3

1. Note the Start number.2. Decide how the pattern is changing.3. Write the equation.

Ex 4:Term Value

1 52 2 46 3 40 4 34 5 28

NEXT=NOW – 6 ; Start= 52

Ex 5:

n = 1P = 3

n = 2P = 4

n = 3P = 5

n = 4P = 6

NEXT = NOW + 1; Start= 3

1. Note the Start number.2. Decide how the pattern is changing.3. Write the equation.

Calculators can quickly iterate functions. Start by entering your initial value, then take advantage of the ANS key to create a function to iterate simply by pressing ENTER repeatedly.

For example, to iterate NEXT = 5NOW + 10, starting at an initial value of 1:

Hit 1, ENTER. Hit 5Ans+10 and then hit ENTER repeatedly.

Interpret the calculator: initial value is 1; the next is 15, and so on. 2185 is the fourth iteration.

Ex 6:

CW1: Now Next Recursive WS

CW2: Recursive Patterns I HW WS

CW3: 3 problems on document camera

HW: NONE

Assignment: