Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.
Functions Unit 4                    Part 2MCC8.F.3 Interpret the equation y = mx + b as defining alinear function, whose g...
What are the next three numbers in             the list?• 1, 2, 3, 4, 5, …        6, 7, 8• 7, 9, 11, 13, 15, …     17, 19,...
Some Special patterns• Arithmetic  1, 2, 3, 4, 5, …      7, 9, 11, 13, 15, …• Geometric  1, 3, 9, 27, 81, …    32, 16, 8, ...
Toothpick Patterns• Discovery activity
Toothpick Patterns1st                2nd           3rd             4th Number of boxes   1     2   3    4    20   50     1...
Toothpick Patterns1st           2nd          3rd            4th Number of boxes   1   2   3     4   20   50    100 Number ...
POD 3 Dec• Does the table below represent a function?                                      # of     # of• What is the inde...
Mathematizeinput 1      2      3     4      5output 4     10     16    22     28      Common Difference(d) = ?
Mathematizeinput 1       2      3     4      5output 7      9      11    13     15           Common Difference(d) = ?
Mathematizeinput 1        2      3     4      5output 10      7      4     1      -2            Common Difference(d) = ?
Write a rule to find a terminput 1    2   3   4   5   6   10output 4   10 16 22 28 ?       ?
Write a rule to find a terminput 1 2     3   4   5   7   10output 10 7   4   1   -2 ?    ?
Write a rule to find a terminput 1 2 3 4 5 8 20output 2.0 3.5 5.0 6.5 8.0 … ?
Graph an arithmetic sequence.1     2   3   4   51     2   3   4   5                      Is this a function?              ...
Graph this sequence.1   2   3   4   57   9   11 13 15    Is this a function?                    What equation would       ...
Functions Unit 4                      Part 3CC8.F.2 Compare properties of two functions each represented in adifferent way...
Relations and Functions• We will look at functions in four different  ways1. Numerically; tables and ordered pairs2. Graph...
Linear FunctionsYour cell phone plan costs 15 dollars a month, plus 10 cents perminute. Fill out a table, create a graph, ...
Linear FunctionsYou want to ship math textbooks from Singapore. They cost 80 dollarseach, plus 30 dollars total for shippi...
Linear FunctionsA taxi service charges an initial five dollar fee, plus one dollar per miledriven. Fill out a table, creat...
Upcoming SlideShare
Loading in …5
×

Writing linear functions edmodo

1,589 views

Published on

  • Be the first to comment

Writing linear functions edmodo

  1. 1. Functions Unit 4 Part 2MCC8.F.3 Interpret the equation y = mx + b as defining alinear function, whose graph is a straight line; give examplesof functions that are not linear. For example, the function A =s2 giving the area of a square as a function of its side length isnot linear because its graph contains the points (1, 1), (2, 4),(3, 9), which are not on a straight line.
  2. 2. What are the next three numbers in the list?• 1, 2, 3, 4, 5, … 6, 7, 8• 7, 9, 11, 13, 15, … 17, 19, 21• 2, 4, 7, 11, 16, … 22, 29, 37• 0, 1, 4, 9, 16, 25, … 36, 49, 64• 10, 7, 4, 1, -2, … -5, -8, -11
  3. 3. Some Special patterns• Arithmetic 1, 2, 3, 4, 5, … 7, 9, 11, 13, 15, …• Geometric 1, 3, 9, 27, 81, … 32, 16, 8, 4, 2, …• Fibonacci 1, 1, 2, 3, 5, 8, …
  4. 4. Toothpick Patterns• Discovery activity
  5. 5. Toothpick Patterns1st 2nd 3rd 4th Number of boxes 1 2 3 4 20 50 100 Number of toothpicks
  6. 6. Toothpick Patterns1st 2nd 3rd 4th Number of boxes 1 2 3 4 20 50 100 Number of toothpicks
  7. 7. POD 3 Dec• Does the table below represent a function? # of # of• What is the independent variable? boxes toothpicks 1 4• What is the dependent variable? 2 7 3 10• Can you write a rule for the table? 4 13 5 16
  8. 8. Mathematizeinput 1 2 3 4 5output 4 10 16 22 28 Common Difference(d) = ?
  9. 9. Mathematizeinput 1 2 3 4 5output 7 9 11 13 15 Common Difference(d) = ?
  10. 10. Mathematizeinput 1 2 3 4 5output 10 7 4 1 -2 Common Difference(d) = ?
  11. 11. Write a rule to find a terminput 1 2 3 4 5 6 10output 4 10 16 22 28 ? ?
  12. 12. Write a rule to find a terminput 1 2 3 4 5 7 10output 10 7 4 1 -2 ? ?
  13. 13. Write a rule to find a terminput 1 2 3 4 5 8 20output 2.0 3.5 5.0 6.5 8.0 … ?
  14. 14. Graph an arithmetic sequence.1 2 3 4 51 2 3 4 5 Is this a function? What equation would model this data? y=x
  15. 15. Graph this sequence.1 2 3 4 57 9 11 13 15 Is this a function? What equation would model this data? y = 2x+5
  16. 16. Functions Unit 4 Part 3CC8.F.2 Compare properties of two functions each represented in adifferent way (algebraically, graphically, numerically in tables, or by verbaldescriptions). For example, given a linear function represented by a table ofvalues and a linear function represented by an algebraic expression,determine which function has the greater rate of change.*Comparing properties of two functions each represented in a different waywill be addressed in Unit 5. In this unit we will focus on representing thesame function different ways (algebraically, graphically, numerically intables, or by verbal descriptions), and identifying the unit rate of change.
  17. 17. Relations and Functions• We will look at functions in four different ways1. Numerically; tables and ordered pairs2. Graphically3. Verbally4. Algebraically
  18. 18. Linear FunctionsYour cell phone plan costs 15 dollars a month, plus 10 cents perminute. Fill out a table, create a graph, and write an equation to modelthe money you will spend each month on your cell phone. Table Graph y Minutes Cost 0 15 50 Change in y = 2.5 25 17.5 Change in x = 25 50 20 75 22.5 100 25 Cost 125 27.5 25 150 30 175 32.5 Equation 5 x 25 100 200 300 Minutes
  19. 19. Linear FunctionsYou want to ship math textbooks from Singapore. They cost 80 dollarseach, plus 30 dollars total for shipping. Fill out a table, create a graph,and write an equation to model the cost of the textbooks. Table Graph Unit Rate of Books Cost Change Equation
  20. 20. Linear FunctionsA taxi service charges an initial five dollar fee, plus one dollar per miledriven. Fill out a table, create a graph, and write an equation to modelthe cost of the taxi service. Table Graph Miles Cost Equation

×