Check 12-1 HW. Course 1 12-2 Graphing Functions 6 th Grade Math HOMEWORK Page 608 #7-20.
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Transcript of Check 12-1 HW. Course 1 12-2 Graphing Functions 6 th Grade Math HOMEWORK Page 608 #7-20.
![Page 1: Check 12-1 HW. Course 1 12-2 Graphing Functions 6 th Grade Math HOMEWORK Page 608 #7-20.](https://reader033.fdocuments.in/reader033/viewer/2022051620/56649f295503460f94c42609/html5/thumbnails/1.jpg)
Check 12-1 HW
![Page 2: Check 12-1 HW. Course 1 12-2 Graphing Functions 6 th Grade Math HOMEWORK Page 608 #7-20.](https://reader033.fdocuments.in/reader033/viewer/2022051620/56649f295503460f94c42609/html5/thumbnails/2.jpg)
Course 1
12-2 Graphing Functions
6th Grade Math HOMEWORK
Page 608
#7-20
![Page 3: Check 12-1 HW. Course 1 12-2 Graphing Functions 6 th Grade Math HOMEWORK Page 608 #7-20.](https://reader033.fdocuments.in/reader033/viewer/2022051620/56649f295503460f94c42609/html5/thumbnails/3.jpg)
Course 1
12-1 Tables and Functions
Our Learning GoalStudents will
understand functions by creating tables and graphing translations.
![Page 4: Check 12-1 HW. Course 1 12-2 Graphing Functions 6 th Grade Math HOMEWORK Page 608 #7-20.](https://reader033.fdocuments.in/reader033/viewer/2022051620/56649f295503460f94c42609/html5/thumbnails/4.jpg)
Course 1
12-1 Tables and Functions
Students will understand functions by creating tables and graphing translations.
• Learn to use data in a table to write an equation for a function and to use the equation to find a missing value.
• Learn to represent linear functions using ordered pairs and graphs.
• Learn to use translations to change the positions of figures on a coordinate plane.
• Learn to use reflections to change the positions of figures on a coordinate plane.
• Learn to use rotations to change positions of figures on a coordinate plane.
• Learn to visualize and show the results of stretching or shrinking a figure.
![Page 5: Check 12-1 HW. Course 1 12-2 Graphing Functions 6 th Grade Math HOMEWORK Page 608 #7-20.](https://reader033.fdocuments.in/reader033/viewer/2022051620/56649f295503460f94c42609/html5/thumbnails/5.jpg)
Today’s Learning Goal Assignment
Learn to represent linear functions using ordered pairs and graphs.
Course 1
12-2 Graphing Functions
![Page 6: Check 12-1 HW. Course 1 12-2 Graphing Functions 6 th Grade Math HOMEWORK Page 608 #7-20.](https://reader033.fdocuments.in/reader033/viewer/2022051620/56649f295503460f94c42609/html5/thumbnails/6.jpg)
12-2 Graphing Functions
Course 1
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
![Page 7: Check 12-1 HW. Course 1 12-2 Graphing Functions 6 th Grade Math HOMEWORK Page 608 #7-20.](https://reader033.fdocuments.in/reader033/viewer/2022051620/56649f295503460f94c42609/html5/thumbnails/7.jpg)
Warm UpWrite an equation for each function. Tell what each variable you use represents.
1. The length of a wall is 4 ft more than three times the height.
2. The number of trading cards is 3 less than the number of buttons.
l = 3h + 4, where l is length and h is height.
c = b – 3, where c is the number of cards and b is the number of buttons.
Course 1
12-2 Graphing Functions
![Page 8: Check 12-1 HW. Course 1 12-2 Graphing Functions 6 th Grade Math HOMEWORK Page 608 #7-20.](https://reader033.fdocuments.in/reader033/viewer/2022051620/56649f295503460f94c42609/html5/thumbnails/8.jpg)
Problem of the Day
Steve saved $1.50 each week. How many weeks did it take him to save enough to buy a $45 skateboard?
30
Course 1
12-2 Graphing Functions
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Vocabulary
linear equation
Insert Lesson Title Here
Course 1
12-2 Graphing Functions
![Page 10: Check 12-1 HW. Course 1 12-2 Graphing Functions 6 th Grade Math HOMEWORK Page 608 #7-20.](https://reader033.fdocuments.in/reader033/viewer/2022051620/56649f295503460f94c42609/html5/thumbnails/10.jpg)
Additional Example 1: Finding Solutions of Equations with Two Variables
Use the given x-values to write solutions of the equation y = 4x + 2 as ordered pairs. x =1, 2, 3, 4.Make a function table by using the given values for x to find values for y.
x 4x + 2 y
1 4(1) + 2 6
2 4(2) + 2 10
3 4(3) + 2 14
4 4(4) + 2 18
Write these solutions as ordered pairs.
(x, y)
(1, 6)
(2, 10)
(3, 14)
(4, 18)
Course 1
12-2 Graphing Functions
![Page 11: Check 12-1 HW. Course 1 12-2 Graphing Functions 6 th Grade Math HOMEWORK Page 608 #7-20.](https://reader033.fdocuments.in/reader033/viewer/2022051620/56649f295503460f94c42609/html5/thumbnails/11.jpg)
Try This: Example 1
Use the given x-values to write solutions of the equation y = 3x + 2 as ordered pairs. x = 2, 3, 4, 5.
Make a function table by using the given values for x to find values for y.
x 3x + 2 y
2 3(2) + 2 8
3 3(3) + 2 11
4 3(4) + 2 14
5 3(5) + 2 17
Write these solutions as ordered pairs.
(x, y)
(2, 8)
(3, 11)
(4, 14)
(5, 17)
Course 1
12-2 Graphing Functions
![Page 12: Check 12-1 HW. Course 1 12-2 Graphing Functions 6 th Grade Math HOMEWORK Page 608 #7-20.](https://reader033.fdocuments.in/reader033/viewer/2022051620/56649f295503460f94c42609/html5/thumbnails/12.jpg)
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Check if an ordered pair is a solution of an equation by putting the x and y values into the equation to see if they make it a true statement.
Course 1
12-2 Graphing Functions
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Additional Example 2: Checking Solutions of Equations with Two Variables
Determine whether the ordered pair is a solution to the given equation.
(3, 21); y = 7x
y = 7x Write the equation.
21 = 7(3)?
21 = 21?
Substitute 3 for x and 21 for y.
So (3, 21) is a solution to y = 7x.
Course 1
12-2 Graphing Functions
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Try This: Example 2
Determine whether the ordered pair is a solution to the given equation.
(4, 20); y = 5x
y = 5x Write the equation.
20 = 5(4)?
20 = 20?
Substitute 4 for x and 20 for y.
So (4, 20) is a solution to y = 5x.
Course 1
12-2 Graphing Functions
![Page 15: Check 12-1 HW. Course 1 12-2 Graphing Functions 6 th Grade Math HOMEWORK Page 608 #7-20.](https://reader033.fdocuments.in/reader033/viewer/2022051620/56649f295503460f94c42609/html5/thumbnails/15.jpg)
Insert Lesson Title Here
You can also graph the solutions of an equation on a coordinate plane. When you graph the ordered pairs of some functions, they form a straight line. The equations that express these functions are called linear equations.
Course 1
12-2 Graphing Functions
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Additional Example 3: Reading Solutions on Graphs
Use the graph of the linear function to find the value of y for the given value of x.
x = 4
When x = 4, y = 2.
Start at the origin and move 4 units right.
Move up until you reach the graph. Move left to find the y-value on the y-axis.
The ordered pair is (4, 2).
x
y
-4 -2 0 2 4
4
-2
-4
2
Course 1
12-2 Graphing Functions
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Try This: Example 3
Use the graph of the linear function to find the value of y for the given value of x.
x = 2
When x = 2, y = 4.
Start at the origin and move 2 units right.
Move up until you reach the graph. Move left to find the y-value on the y-axis.
The ordered pair is (2, 4).
x
y
-4 -2 0 2 4
4
-2
-4
2
Course 1
12-2 Graphing Functions
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Additional Example 4: Graphing Linear Functions
Graph the function described by the equation. y = –x – 2
Make a function table.
x –x – 2 y
–1 –(–1) – 2 –1
0 –(0) – 2 –2
1 –(1) – 2 –3
Write these solutions as ordered pairs.
(x, y)
(–1, –1)
(0, –2)
(1, –3)
Course 1
12-2 Graphing Functions
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Additional Example 4 Continued
x
y
Graph the ordered pairs on a coordinate plane.
-5 -4 -3 -2 -1 0 1 2 3 4 5
543
2
1
-5
-4-3-2
-1
Draw a line through the points to represent all the values of x you could have chosen and the corresponding values of y.
Course 1
12-2 Graphing Functions
![Page 20: Check 12-1 HW. Course 1 12-2 Graphing Functions 6 th Grade Math HOMEWORK Page 608 #7-20.](https://reader033.fdocuments.in/reader033/viewer/2022051620/56649f295503460f94c42609/html5/thumbnails/20.jpg)
Try This: Example 4
Graph the function described by the equation. y = –x – 4
Make a function table.
x –x – 4 y
–1 –(– 1) – 4 –3
0 –(0) – 4 –4
1 –(1) – 4 –5
Write these solutions as ordered pairs.
(x, y)
(–1, –3)
(0, –4)
(1, –5)
Course 1
12-2 Graphing Functions
![Page 21: Check 12-1 HW. Course 1 12-2 Graphing Functions 6 th Grade Math HOMEWORK Page 608 #7-20.](https://reader033.fdocuments.in/reader033/viewer/2022051620/56649f295503460f94c42609/html5/thumbnails/21.jpg)
Insert Lesson Title Here
Try This: Example 4
x
y
Graph the ordered pairs on a coordinate plane.
-5 -4 -3 -2 -1 0 1 2 3 4 5
543
2
1
-5
-4-3-2
-1
Draw a line through the points to represent all the values of x you could have chosen and the corresponding values of y.
Course 1
12-2 Graphing Functions
![Page 22: Check 12-1 HW. Course 1 12-2 Graphing Functions 6 th Grade Math HOMEWORK Page 608 #7-20.](https://reader033.fdocuments.in/reader033/viewer/2022051620/56649f295503460f94c42609/html5/thumbnails/22.jpg)
Lesson Quiz
1. Use the given x-values to write solutions as ordered pairs to the equation y = –3x + 1 for x = 0, 1, 2, and 3.
2. Determine whether (4, –2) is a solution to the
equation y = –5x + 3.
3. Graph the function described by the equation
y = –x + 3.
No, –2 ≠ –5(4) + 3
(0, 1), (1, –2), (2, –5), (3, –8)
Insert Lesson Title Here
Course 1
12-2 Graphing Functions