study the patterns below to determine the next five numbers in each sequence. you may use the...
TRANSCRIPT
![Page 1: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/1.jpg)
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
![Page 2: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/2.jpg)
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:
![Page 3: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/3.jpg)
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:
![Page 4: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/4.jpg)
Functions Pre-Assessment:
![Page 5: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/5.jpg)
Functions Pre-Assessment:
![Page 6: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/6.jpg)
Functions Pre-Assessment:
![Page 7: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/7.jpg)
Functions Pre-Assessment:
![Page 8: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/8.jpg)
Functions Pre-Assessment:
![Page 9: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/9.jpg)
Functions Pre-Assessment:
![Page 10: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/10.jpg)
SequenceIndependent VariableDependent VariableDomainRange
Define…
![Page 11: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/11.jpg)
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:
![Page 12: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/12.jpg)
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:
![Page 13: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/13.jpg)
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:
![Page 14: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/14.jpg)
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:
![Page 15: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/15.jpg)
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:
![Page 16: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/16.jpg)
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…
![Page 17: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/17.jpg)
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:
![Page 18: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/18.jpg)
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:
![Page 19: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/19.jpg)
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.
![Page 20: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/20.jpg)
Ex 4:Term Value
1 52 2 46 3 40 4 34 5 28
NEXT=NOW – 6 ; Start= 52
![Page 21: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/21.jpg)
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.
![Page 22: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/22.jpg)
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:
![Page 23: 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](https://reader036.vdocuments.us/reader036/viewer/2022070403/56649f2a5503460f94c44ca2/html5/thumbnails/23.jpg)
CW1: Now Next Recursive WS
CW2: Recursive Patterns I HW WS
CW3: 3 problems on document camera
HW: NONE
Assignment: