1 / 11

1.9 Patterns, equations, & Graphs

1.9 Patterns, equations, & Graphs. I can use tables, equations, and graphs to describe relationships. Equations with two variables. A solution of an equation with two variables x and y is the ordered pair ( x,y ). The ordered pair is only a solution if it makes the equation true.

teddy
Télécharger la présentation

1.9 Patterns, equations, & Graphs

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 1.9 Patterns, equations, & Graphs I can use tables, equations, and graphs to describe relationships

  2. Equations with two variables • A solution of an equation with two variables x and y is the ordered pair (x,y). • The ordered pair is only a solution if it makes the equation true. • Ex: is (3,10) a solution to the equation y= 4x? • NO

  3. Different representations • Both Carrie and her sister Kim were born on October 25, but Kim was born 2 years before Carrie. • What are three different ways to represent the relationship between Kim’s age and Carrie’s age?

  4. Equation • We know that Kim is 2 years older than Carrie. • How can we write an equation to show this relationship? • y = x + 2 • y = Kim’s age • x = Carrie’s age • What would the equation be if x = Kim’s age and y=Carrie’s age? • y = x – 2

  5. Table

  6. Graph

  7. Extending a pattern The table shows the relationship between the number of blue tiles and the total number of tiles . What is the total number of tiles in a figure with 8 blue tiles?

  8. Using a graph

  9. Using an equation • Recognize the pattern in the table. • As x increases by 1, y increases by 9. • y = 9x • Since x is the number of blue tiles, substitute 8 for x • y = 9(8) • y = 72 tiles

  10. Try it! • In the same figure, create a table showing the relationship between the number of orange tiles and the total number of tiles. • Then, find how many total tiles will be in the figure if there are 28 orange tiles. • Hint: use a graph or an equation.

  11. Assignment • ODDS ONLY • P. 64 #9-17, 21-31

More Related