Graph and Analyze Relationships 5th Grade

Graph and Analyze Relationships 5th Grade

Mr. Alonzo

Objective

5.4(C) generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph.

5.8(C) graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real‐world problems, including those generated by number patterns or found in an input‐output table.

How can you write and graph ordered pairs in a coordinate grid using number patterns?

Here is your problem: Sasha is making hot cocoa for a party. For each mug of cocoa, he uses 3 tablespoons of cocoa mix. If Sasha makes 9 mugs of cocoa, how many tablespoons of the cocoa mix will he use?

STEP 1: Use the rule to make an input/output table.

Multiple Choice

Sasha is making hot cocoa for a party. For each mug of cocoa, he uses 3 tablespoons of cocoa mix. How many tbsp of cocoa mix will he use for 2 mugs of cocoa?

• 3

• 4

• 6

• 9

Multiple Choice

Sasha is making hot cocoa for a party. For each mug of cocoa, he uses 3 tablespoons of cocoa mix. How many tbsp of cocoa mix will he use for 3 mugs of cocoa?

• 5

• 8

• 6

• 9

Multiple Choice

Sasha is making hot cocoa for a party. For each mug of cocoa, he uses 3 tablespoons of cocoa mix. How many tbsp of cocoa mix will he use for 4 mugs of cocoa?

• 12

• 7

• 6

• 9

How can you write and graph ordered pairs in a coordinate grid using number patterns?

Here is your problem: Sasha is making hot cocoa for a party. For each mug of cocoa, he uses 3 tablespoons of cocoa mix. If Sasha makes 9 mugs of cocoa, how many tablespoons of the cocoa mix will he use?

STEP 2: Write the related pairs of data that you just filled in as ordered pairs.

Open Ended

Based on the data from your input/output table what are your 4 ordered pairs?

How can you write and graph ordered pairs in a coordinate grid using number patterns?

STEP 3: Plot and label the ordered pairs in the coordinate grid. Use the pattern to write an ordered pair for the number of tablespoons of the cocoa mix needed for 9 mugs of cocoa. Plot the point in the coordinate grid.

Multiple Choice

So, Sasha will need ___ tablespoons of the cocoa mix to make 9 mugs of cocoa.

• 9

• 18

• 27

• 24

Open Ended

How can you use the pattern in the coordinate grid to decide if your answer is reasonable?

On a seperate sheet of paper complete the input/output tables. Write ordered pairs and plot them in the coordinate grid.

Multiply the number of tablespoons by 2 to find the weight in ounces.

On a seperate sheet of paper complete the input/output tables. Write ordered pairs and plot them in the coordinate grid.

Multiply the number of hours by 3 to find the distance in miles.

Open Ended

The rule for the pattern is multiply the input by 5. Which ordered pair on the graph does not follow the pattern? Explain.

Create the following Coordinate Plane on a seperate sheet of paper to solve the following problem.

If the input is 12, would the output be greater or less than 40? Write the ordered pair and plot it on the graph.

Create a copy of this Coordinate Grid on a seperate sheet of paper. Use this coordinate grid for Completing the table for each recipe and plot the points. Use different colors to plot each person’s pattern.

Lou and George are making chili for the Annual Firefighter’s Ball. Lou uses 2 teaspoons of hot sauce for every 2 cups of chili. George uses 3 teaspoons of the same hot sauce for every cup of chili.

Open Ended

Elsa said that George’s chili was hotter than Lou’s, because the graph showed that the amount of hot sauce in George’s chili was always 3 times as great as the amount of hot sauce in Lou’s chili. Does Elsa’s answer make sense, or is it nonsense? Explain.

Open Ended

If you mix 10 cups of George’s chili with 10 cups of Lou’s chili, how many teaspoons of hot sauce will there be in that 20 cups of chili?

Multiple Choice

The table compares distance on a map to real-life distance. How many miles does a map distance of 6 inches represent?

• 24 miles

• 30 miles

• 36 miles

• 6 miles

Multiple Choice

Which statement about the data is correct?

• One pen costs $5.

• Four pens cost $20.

• Two pens cost $5.

• Five pens cost $1.

Multiple Choice

Suppose Jake buys 30 pens. He also buys a notebook for $3. How much does Jake spend in all?

• $6

• $9

• $33

• $30

Multiple Choice

Duber plots a pattern showing the number of pentagons and the total number of sides for that many pentagons. If the x-coordinate, the number of pentagons, is 8, which ordered pair shows the pattern?

• $\left(8,\ 5\right)$
  

• $\left(5,\ 8\right)$

• $\left(40,\ 8\right)$

• $\left(8,\ 40\right)$