Common Core: Beginning Functions in WHS Algebra B/Algebra 1

Common Core: Beginning Functions in WHS Algebra B/Algebra 1

2/27 / Block B / Quiz S1-S3 / #28 / Packet – Algebra (pink)
2/28 / Friday / Functions F1: Cube Roots and Fractional Exponents / #29 / p. 494 #1-10,
p. 497 #1-10
3/3 / Monday / Review for S1-S5 test / #30 / Practice Test with answers
Block A / Test S1-S5 / #31 / Packet – Algebra (white)
Block B / Review for CAHSEE / #32 / Packet – Geometry (yellow)
3/7 / Friday / Review for CAHSEE / #33 / Packet – Numbers (blue)
3/10 / Monday / Functions F2: Domain, Range. Is it a function? Finding f(3) etc. / #34 / p. 539 #4-6,11,12-20 even
WS F2 #1-10
Block A / Functions F3: Graphing Functions using a table of values, then
finding the maximum and minimum values from the graph / #35 / WS F3 #11-23
Block B / Functions F4: Graphing Piecewise functions
Increasing, Decreasing and domain and range from a graph / #36 / WS F4 #24-35
3/14 / Friday / Review of CAHSEE / #37 / Fix all 5 packets
3/17 / Monday / Review of Formulas / #38 / Formula Review Sheet
CAHSEE
Block A / E1: Arithmetic Sequences Basics
E2: Geometric Sequences Basics / #39 / E1/E2: #1-16
Thursday / Review of F1-F4 / #40 / Practice Quiz on F1-F4
3/21 / Friday / Quiz on F1-F4
Review for Test / #41 / Practice Test #1
3/24 / Mon / Review for Test / #42 / Practice Test #2
Block A / Test on F1-F4/E1-E2 / #43 / Review HW
Block B / Performance Task – activity / No homework over Spring Break
3/28 / Friday / no student day
Mon-Fri / Spring Break

F2: Domain, Range – and is a relation a function?

For #1-3, a. Find the domain, b. Find the range, c. Is it a function?

1. (3, 6) (6, 7) (4, 7) (1, 7)

2. (1, 6) (1, 5) (1, 7) (1, 8) (3, 9)

3. (-3, 6) (3, 6) (6, 6) (2, 7) (-2, 4)

For #4-10 determine if the graph shown represents a function?

Explain why or why not.

4.5. 6.7.8. 9. 10.

F3: Graphing functions by plotting points (also called table of values)

For #11-23, use a table of values with at least 5 points to graph

As your first step you should replace the by y.

Then find the relative maximum or relative minimum values on #11-23

11. Use 3 as your middle value.12. Use -2 as your middle value.

13. Use 2 as your middle value.14. Use the normal -2, -1, 0, 1, 2 for your x values

15. Use -2, -1, 0, 1, 2 for your x values 16. Use -2, -1, 0, 1, 2 for your x values

17. What values should you use if none are given? (Hint: same as 14-16)

18. After you graph this determine what shape is this?

19. After you graph this determine what shape is this?

20. Use numbers that you know the square root of (perfect squares)

21. Use numbers that you know the cube root of (perfect cubes)

22. After you graph this determine what shape is this?

23. After you graph this determine what shape is this?

Go back and write down the relative maximum or relative minimum values on #11-23

F4: Graph each piecewise function

24. 25.

26. 27.

28. 29.

F4: Characteristics and behavior of functions

Determine the domain and the range from the graph.

30. 31.32.

Write down where the graph is increasing and decreasing.

33.34.35.

E1/E2: Arithmetic and Geometric Sequences

Find the next 3 terms after figuring out the pattern. Is each sequence an arithmetic sequence or a geometric sequence or neither?

1. 2, 5, 8, 11, ___, ___, ___ Is it arithmetic, geometric or neither? What is d or r?

2. 2, 6, 18, ___, ___, ___ Is it arithmetic, geometric or neither? What is d or r?

3. 1, 2, 4, 8, ___, ___, ___ Is it arithmetic, geometric or neither? What is d or r?

4. 3, 8, 13, 18, ___, ___, ___ Is it arithmetic, geometric or neither? What is d or r?

5. 12, 10, 8, 6, ___, ___, ___ Is it arithmetic, geometric or neither? What is d or r?

6. 3, -6, 12, ___, ___, ___ Is it arithmetic, geometric or neither? What is d or r?

7. 2, 20, 200, 2000, ___, ___, ___ Is it arithmetic, geometric or neither? What is d or r?

8. 16, 13, 10, 7, ___, ___, ___ Is it arithmetic, geometric or neither? What is d or r?

9. 7, 2, -3, -8, ___, ___, ___ Is it arithmetic, geometric or neither? What is d or r?

10. 1, 4, 9, ___, ___, ___ Is it arithmetic, geometric or neither? What is d or r?

11. 1, 1, 2, 3, 5, 8, ___, ___, ___ Is it arithmetic, geometric or neither? What is d or r?

12. 64, 32, 16, 8, ___, ___ Is it arithmetic, geometric or neither? What is d or r?

13. 64, -32, 16, -8, ___, ___, ___ Is it arithmetic, geometric or neither? What is d or r?

14. 30, 25, 20, 15, ___, ___, ___ Is it arithmetic, geometric or neither? What is d or r?

15. 12, 8, 12, 8, ___, ___, ___ Is it arithmetic, geometric or neither? What is d or r?

16. 3, 6, 9, 12, ___, ___, ___ Is it arithmetic, geometric or neither? What is d or r?