Lesson 2.2 RATIOS AND

PROPORTIONS

DO NOW

Mathematicians will solve rate problems by creating a rate

table and/or creating a graph

TEACHING POINT

7.RP.2a

Recognize and represent proportional relationships between

quantities.

Decide whether two quantities are in a proportional relationships

e.g., by testing equivalent ratios in a table or graphing on a

coordinate plane and observing whether the graph is a straight line

through the origin

STANDARD

VOCAB

Each group gets one question.

We need two sandwiches for each person at the

picnic.

I earned $5.50 per hour when I babysit for my

neighbor.

The mystery meat in the cafeteria has 355 calories

per 6-ounce serving.

Akira’s top running rate is 8.5 kilometers per hour.

Sheila bought 10lb of grapes for $2.50

WHAT IS BEING COMPARED? -3 MINS

1. 2 sandwiches to 1 person

2. 2 votes for Bolda Cola to 1 vote for

Cola Nola

HOW ARE THE RATIOS BELOW SIMILAR

AND/OR DIFFERENT?

The ratio of the width of Mug’s head to

the width of Pug’s head is 2:1

Hint- think of the definition of rate

IS THIS A RATE? EXPLAIN 2 MINS

186 miles in 8 hours

82 hours for 18 projects

12 boys out of 20 boys

$60 for 8 movie tickets

$12 for every $60

RATE OR RATIO? – 3 MINS

Julia is in charge of ordering pizzas for a camp dinner. She

wonders whether to order the pizzas from Royal Pizza or

Howdy’s Pizza.

Each pizzeria allows customers to use the same pricing for

fewer or more pizzas than the listed number.

Royal’s

Pizza Howdy’s Pizza

15 Large Pizza

for $195 10 Large Pizza

for $120

Which Pizza Sell is better?

Fill-In table

# of Pizza 1 2 3 4 5 10 15 20 100 150 200

Price of

Royal

Pizza

$120

Price of

Howdy’s

Pizza

$195

How much will 53 pizza from Royal cost. Explain

your reasoning.

How much will 27 pizzas from Howdy’s cost. Explain

your reasoning.

The campers consider their budget. How many

pizzas can they buy from Royal with $400. What if

they only have $96. Explain

Use a graph

Label your origin

Label your axis

Determine units

Create a Title

Plot each point(pay careful attention to the axis)

Include a reference table(if necessary)

GRAPH METHOD

Howdy’s l isted price is valid only if you pick up the pizza. If

you request delivery, they charge a flat $5 fee for any number

of pizzas.

Howdy’s Pizza

15 Large Pizza

for $195

$5 Delivery

Charge

Number

of Pizzas

1 2 3 4 5 10 15

Price if

Howdy’s

delivers

Price for

Pick Up

$195

COMPLETE TABLE

1) Describe patterns you see in the table.

Hint: Use information from previous tables

On the same coordinate plane, plot the data for

Howdy’s prices with no delivery fee and with the

delivery fee.

How are the graphs similar and how are they

different?

For each graph, which coordinate pair represent how

much one pizza costs? How much zero pizzas cost?

ANSWER QUESTIONS

If you know the price of one pizza, how can you find the price

of additional numbers of pizzas?

For each pizza place, use your strategy from part (1) to write

and equation for the total price P for any number of pizzas n.

ANSWER QUESTIONS

Worksheet – Complete in its entirety

HOMEWORK