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What are we going to do? What does compute mean? Compute means __________. CFU 1 calculate Vocabulary We will compute 1 unit rates. Learning Objective.

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Presentation on theme: "What are we going to do? What does compute mean? Compute means __________. CFU 1 calculate Vocabulary We will compute 1 unit rates. Learning Objective."— Presentation transcript:

1 What are we going to do? What does compute mean? Compute means __________. CFU 1 calculate Vocabulary We will compute 1 unit rates. Learning Objective Activate Prior Knowledge A unit rate shows the relationship between a quantity and one unit of another quantity. miles 4 32 minutes 1. Vanessa ran 4 miles this morning in 32 minutes. Find her average time, in minutes, for every 1 mile. 2. Edgar downloaded a 10-megabyte video in 5 seconds. What was the downloading rate in megabytes per second? megabytes 10 5 seconds = 32 4 = 8 8 minutes per mile = 10 5 = 2 2 megabytes per second Use the ratio table to find the unit rate.

2 x-axis y-axis The coordinate plane is a flat surface made by the intersection 2 of two perpendicular 3 number lines. An ordered pair describes 4 the location of a point on the coordinate plane using x- and y-coordinates. On your whiteboard, write an example of an ordered pair. Which number is the x- coordinate? Which is the y- coordinate? How do you know? Which of the following is the ordered pair that identifies the location of the point T? A T B (7, 9) In your own words, what is an ordered pair? “An ordered pair is ______.” CFU Ordered Pairs on the Coordinate Plane 2 crossing (synonym) 3 crossing at a 90 degree angle 4 shows (synonym) Vocabulary Concept Development “X is the point’s distance along the x-axis.” “Y is the point’s distance along the y-axis.” – the horizontal number line. – the vertical number line. The origin is where the x-axis and y-axis intersect. (4, 5) 5 4 “Y is the point’s distance along the y-axis.” “X is the point’s distance along the x-axis.” T Animated Ordered Pair (2, 3) x and y

3 Determine 5 the x-coordinate of the point. (write) Hint: The distance along the x-axis. Determine the y-coordinate of the point. (write) Hint: The distance along the y-axis. Read the ordered pair aloud. “Point ___ is at the point (__, __)” Plot and locate points on a coordinate plane How did I/you determine the x-coordinate? How did I/you determine the y-coordinate? CFU 1 2 Skill Development/Guided Practice The coordinate plane is a flat surface made by the intersection of two perpendicular number lines. An ordered pair describes the location of a point on the coordinate plane using x- and y-coordinates. A B C D E F G H 1. Point A ( ___, ___ ) 2. Point B ( ___, ___ ) 3. Point C ( ___, ___ ) 4. Point D ( ___, ___ ) 5. Point E ( ___, ___ ) 6. Point F ( ___, ___ ) 7. Point G ( ___, ___ ) 8. Point H ( ___, ___ ) figure out Vocabulary Ordered Pair (2, 3) x and y

4 Skill Development/Guided Practice (continued) Determine the x-coordinate of the point. (write) Hint: The distance along the x-axis. Determine the y-coordinate of the point. (write) Hint: The distance along the y-axis. Plot and label the point at the correct coordinates. Plot and locate points on a coordinate plane How did I/you determine the x-coordinate? How did I/you determine the y-coordinate? How did I/you plot and label the point? CFU The coordinate plane is a flat surface made by the intersection of two perpendicular number lines. An ordered pair describes the location of a point on the coordinate plane using x- and y-coordinates. Ordered Pair (2, 3) x and y 1. Point A ( 3, 10 ) 2. Point B ( 2, 7 ) 3. Point C ( 4, 6 ) 4. Point D ( 5, 9 ) 5. Point E ( 0, 5 ) 6. Point F ( 7, 0 ) 7. Point G ( 8, 8 ) 8. Point H ( 4, 3 ) C D E F G H A B

5 A proportional relationship is a set of equivalent ratios. Equivalent ratios have equal values using different numbers. To generate an equivalent ratio, multiply or divide each quantity in a ratio by the same number. Multiplying or dividing by the same number does NOT change the ratio. Concept Development A ratio is a relationship between two quantities. A ratio can be written with words or numbers. On a piano, there are five black keys for every seven white keys :7 5 to 7 Write this ratio in three different ways below: Fill in the table below to make equivalent ratios: The number of black keys should remain proportional to the number of white keys. How can you tell if they remain proportional? Information in Tables can be used horizontally or vertically. Which style works best for you? Create a Vertical Table below (, )

6 Concept Development A proportional relationship is a set of equivalent ratios. Equivalent ratios have equal values using different numbers. To generate 2 an equivalent ratio, multiply or divide each quantity in a ratio by the same number. Multiplying or dividing by the same number does NOT change the ratio. Proportional Relationship Equivalent Ratios Explain why the ratios are equivalent ratios. In your own words, what is a proportional relationship? A proportional relationship ___________. CFU and

7 Concept Development A proportional relationship is a set of equivalent ratios. Equivalent ratios have equal values using different numbers. To generate 2 an equivalent ratio, multiply or divide each quantity in a ratio by the same number. Multiplying or dividing by the same number does NOT change the ratio. Equivalent Ratios Proportional Relationship From Tables Creating Ordered Pairs (x,y) From Tables In this case, Black Keys are first, so the are going to be (X) and White Keys are second, so they are going to be (Y) There are seven pairings of black keys : white keys. Write the ordered pairs below as (Black Keys, White Keys) ORDERED PAIRS (Black Keys, White Keys) The first ordered pair has been filled in for you. ( 5, 7 ) (, ) (, ) (, ) (, ) (, ) (, ) Explain what the values in an ordered pair (x,y) tell you in this problem. What does x describe? What does y describe? When x and y are written as an ordered pair (x,y) what do the letters describe together? CFU

8 Concept Development A proportional relationship is a set of equivalent ratios. Equivalent ratios have equal values using different numbers. Proportional Relationship From Tables / Ordered Pairs into a Graph ORDERED PAIRS (Black Keys, White Keys) Fill in your ordered pairs (5, 7) (, ) Number of White Keys ( y ) Plot the first 3 ordered (x,y) pairs to the right Connect points with a straight line. Does the line touch at the Origin (0,0)? Number of Black Keys ( x )

9 What did you learn today about plotting and locating points on a coordinate plane? (Pair-Share) Use words from the word bank. Skill Closure Access Common Core Summary Closure Word Bank coordinates ordered pair axis origin point plot Determine the x-coordinate of the point. (write) Hint: The distance along the x-axis. Determine the y-coordinate of the point. (write) Hint: The distance along the y-axis. (Problem 1) Read the ordered pair aloud. “Point ___ is at the point (__, __)” (Problem 2) Plot and label the point at the correct coordinates. Plot and locate points on a coordinate plane The coordinate plane is a flat surface made by the intersection of two perpendicular number lines. An ordered pair describes the location of a point on the coordinate plane using x- and y-coordinates. 1. Point A ( ___, ___ ) Point B ( 3, 8 ) B A Alicia thinks that the coordinates of point C on the coordinate plane are (6, 4). Do you agree with her? Why or why not? C Ordered Pair (2, 3) x and y

10 1.Create Ordered Pairs for each (x, y) pair. 2.Graph the ordered pairs on graph to the right. 3.Connect the points with a line. (6,10 ) (, ) (, )

11 A B C Periodic Review 1 1. Point A ( ___, ___ ) 2. Point B ( ___, ___ ) 3. Point C ( ___, ___ ) 4. Point D ( ___, ___ ) 5. Point E ( 9, 5 ) 6. Point F ( 5, 6 ) 7. Point G ( 1, 9 ) 8. Point H ( 7, 8 ) E D F G H Which of the following sentences is true about the points plotted on the graph? The coordinates of point A are (3, 5). The coordinates of point B are (6, 4). The distance of point C from the y-axis is 8. The distance of point B from the x-axis is 4. Yes No A B C Plot and locate the points. Ordered Pair (2, 3) x and y Independent Practice (continued)

12 Independent Practice Determine the x-coordinate of the point. (write) Hint: The distance along the x-axis. Determine the y-coordinate of the point. (write) Hint: The distance along the y-axis. Read the ordered pair aloud. “Point ___ is at the point (__, __)” Plot and locate points on a coordinate plane The coordinate plane is a flat surface made by the intersection of two perpendicular number lines. An ordered pair describes the location of a point on the coordinate plane using x- and y-coordinates. A B C D E F G H 1. Point A ( ___, ___ ) 2. Point B ( ___, ___ ) 3. Point C ( ___, ___ ) 4. Point D ( ___, ___ ) 5. Point E ( ___, ___ ) 6. Point F ( ___, ___ ) 7. Point G ( ___, ___ ) 8. Point H ( ___, ___ ) Ordered Pair (2, 3) x and y

13 Independent Practice (continued) Determine the x-coordinate of the point. (write) Hint: The distance along the x-axis. Determine the y-coordinate of the point. (write) Hint: The distance along the y-axis. Plot and label the point at the correct coordinates. Plot and locate points on a coordinate plane The coordinate plane is a flat surface made by the intersection of two perpendicular number lines. An ordered pair describes the location of a point on the coordinate plane using x- and y-coordinates. 1. Point A ( 8, 1 ) 2. Point B ( 2, 7 ) 3. Point C ( 7, 2 ) 4. Point D ( 7, 7 ) 5. Point E ( 6, 4 ) 6. Point F ( 0, 9 ) 7. Point G ( 5, 3 ) 8. Point H ( 3, 6 ) C D E F G H A B Ordered Pair (2, 3) x and y Origin (0,0)


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