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Math 1



What is the Point?
At the end of this lesson...

    You will know what these two characters
    have in common...
Hand-Out

    Title your booklet

What is the Point?
Chameleon is Hungry




Sam knows that the fly is at point (4, 3). What should he do?
Move right on x-Axis
Move up on y-axis
Graphs of Functions

    Today we will learn how to ...

    plot ordered pairs from a function table and
    draw the corresponding line...
Let's look at this real-lilfe
    problem
    
        Anan is buying T-shirts for Spirit Day. Each
        package of t-shirts has two shirts in it. He
        wants to know how many t-shirts are in 5
        packages.

Packages of T-Shirts
Y = 2x of
Number              Number of T-
Packages (x)
1                   Shirts (y)
                    2
2                  4
3                  6
Our table also follows an order
  Packages of T-Shirts
  Y = 2x
  Number of Packages (x)   Number of T-Shirts (y)

  1                        2

  2                        4

  3                        6




       Remember: (x,y) ??
Write the function table as
                    ordered pairs
Packages of T-Shirts
Y = 2x
Number of Packages (x)   Number of T-Shirts (y)

1                        2

2                        4

3                        6




                         Example: (1, 2)
Let's draw the prefect grid
Number of T-shirts




                     Number of packages
You try

    Samuel wants to celebrate his birthday. He
    wants top hang up 12 balloons. Party
    Warehouse has packages with 4 balloons
    each. How many packages does he need?
1. Create a function table
2. Number x-axis 0-5: y-axis 0-17
3. Draw the perfect grid
3. plot the ordered pairs on the coordinate
  grid
4. connect the points
Work in pairs, 10 minutes
What happens...

    When I extend the line. What does the
    graph tell me?

    How about: This function
y=2
X=6
Warm-up
• Take out your Math booklet, ruler, pencil, notebook (and graph
  paper – if you have nto used it yet)

• Work with your partner to finish yesterdays asssignment

• You are finished? Take a graphiti and work on it (it goes in the
  Math part of your binder)

You have 10 minutes
After this, we will talk about the assignment for about 5
  minutes
                                             Chime
Be prepared to explain your thinking         •Voices silent
                                             •Pencil down
                                             •Eyes on listener
Vocabulary Review
What is the x-axis?
What is the y-axis?
What is the Origin?
What is an ordered pair?
What do ordered pairs need?
We will learn how to graph
                      equations...

        An equation is a rule for a function

        You can use equations to make a function table

    Rule: y = 2x + 1
    x                  y          When x = 1
    1                             Y=2*1+1
    2                             Y+2+1=3
    3



        Use the function table to write ordered pairs

        Use # 5 of your whiteboard – do not erase
We will learn how to graph
               equations...

    Place the ordered pairs on a coordinate grid

             y
                 10
                  8
                 6
                 4
                 2

                      2   4

    Draw a line through the points         x

    What can you predict for x = 4
15-20 min.
                   You try
Use your notebook (graph paper on counter) and
  work with your partner

  Make sure you glue the graph paper in your
  notebook before you leave

Draw a function table (When x=1, y=…), then
  graph your equation

  Y = 2x -1

  Y = 6x – 2

  Challenge: y = 3

  Super challenge: y = 2x and Z = y+5 / draw
  both function tables, then graph both equations

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Math Graphing Fourth Grade

  • 1. Math 1 What is the Point?
  • 2. At the end of this lesson...  You will know what these two characters have in common...
  • 3. Hand-Out  Title your booklet What is the Point?
  • 4. Chameleon is Hungry Sam knows that the fly is at point (4, 3). What should he do?
  • 5. Move right on x-Axis
  • 6. Move up on y-axis
  • 7. Graphs of Functions  Today we will learn how to ...  plot ordered pairs from a function table and draw the corresponding line...
  • 8. Let's look at this real-lilfe problem  Anan is buying T-shirts for Spirit Day. Each package of t-shirts has two shirts in it. He wants to know how many t-shirts are in 5 packages. Packages of T-Shirts Y = 2x of Number Number of T- Packages (x) 1 Shirts (y) 2 2 4 3 6
  • 9. Our table also follows an order Packages of T-Shirts Y = 2x Number of Packages (x) Number of T-Shirts (y) 1 2 2 4 3 6 Remember: (x,y) ??
  • 10. Write the function table as ordered pairs Packages of T-Shirts Y = 2x Number of Packages (x) Number of T-Shirts (y) 1 2 2 4 3 6 Example: (1, 2)
  • 11. Let's draw the prefect grid Number of T-shirts Number of packages
  • 12. You try  Samuel wants to celebrate his birthday. He wants top hang up 12 balloons. Party Warehouse has packages with 4 balloons each. How many packages does he need? 1. Create a function table 2. Number x-axis 0-5: y-axis 0-17 3. Draw the perfect grid 3. plot the ordered pairs on the coordinate grid 4. connect the points Work in pairs, 10 minutes
  • 13. What happens...  When I extend the line. What does the graph tell me?  How about: This function y=2 X=6
  • 14. Warm-up • Take out your Math booklet, ruler, pencil, notebook (and graph paper – if you have nto used it yet) • Work with your partner to finish yesterdays asssignment • You are finished? Take a graphiti and work on it (it goes in the Math part of your binder) You have 10 minutes After this, we will talk about the assignment for about 5 minutes Chime Be prepared to explain your thinking •Voices silent •Pencil down •Eyes on listener
  • 15. Vocabulary Review What is the x-axis? What is the y-axis? What is the Origin? What is an ordered pair? What do ordered pairs need?
  • 16. We will learn how to graph equations...  An equation is a rule for a function  You can use equations to make a function table Rule: y = 2x + 1 x y When x = 1 1 Y=2*1+1 2 Y+2+1=3 3  Use the function table to write ordered pairs  Use # 5 of your whiteboard – do not erase
  • 17. We will learn how to graph equations...  Place the ordered pairs on a coordinate grid y 10 8 6 4 2 2 4  Draw a line through the points x  What can you predict for x = 4
  • 18. 15-20 min. You try Use your notebook (graph paper on counter) and work with your partner  Make sure you glue the graph paper in your notebook before you leave Draw a function table (When x=1, y=…), then graph your equation  Y = 2x -1  Y = 6x – 2  Challenge: y = 3  Super challenge: y = 2x and Z = y+5 / draw both function tables, then graph both equations