Course: 7th Grade Math
DETAIL LESSON PLAN
Monday, November 28 / Tuesday, November 29
Student Objective
(Obj. 1g)
TSW… find unit rates and unit costs using proportional reasoning.
Lesson
5-2 Unit Rates
Textbook Pages: 232-235
Homework
Unit Rate WS (6 problems)
Last Night’s Homework
Complete Ratio/Proportion classwork for homework.
Bellwork
Semester Exam Study Guide, Problem #’s: __________ - __________
Prior Knowledge
 During our last class we learned that a ratio is the comparison of two quantities by division.
Anticipatory Set
 Today… we’ll learn about some special types of ratios… called unit rates and unit costs!
 Pass out Student Notes. Teach via PowerPoint today.
 Display  Unit Rates… We use them without even realizing we are using them!
Begin PowerPoint. Slide two will be a slide with a bunch of 1’s on it. Ask the students to study the slide for a moment and
see if they can figure out what the word “unit” means. Play the song “One is the Loneliest Number” to reinforce that the
word unit means one of something! Explain how to determine unit rate.
Another type of ratio is called a unit cost. When you see unit cost, you need to think…MONEY!
Play “Money, Money…Money” song to reinforce that unit cost means money! When setting up a ratio involving money,
the money always goes on top!

Why learn this?
Well, as seen in our introduction, ratios can be used to compare any two quantities!
Teacher Input
 Review bellwork.
 Use PowerPoint to introduce and teach today’s lesson on unit rates and unit costs.
 Pass out student notes.
 Define unit rate.
 Explain and demonstrate how to set up a unit rate.
 Have students work one you-try problem. (independently)
 Define unit cost.
 Explain and demonstrate how to set up a unit cost.
 Have students work two you-try problems. (independently)
 Classwork: PH 9 (think, pair, share)
 Extra Practice: GL 8-2, PH-15 puzzle
 Homework: Textbook Page 234. Problems 6, 7, 8, 15, 16, 17
Assessment
Question for understanding. Monitor students as they work on their classwork. Take up PH 9 as a participation grade.
Closure
Beach Ball Math
Name the ratio for:
100 points in 9 games
500 miles in 10 hours
18 people in 6 cars
14 pounds in 7 week
$900 for 5 days
$32.00 for 10 CD’s
$14.00 for 7 minutes
$4.25 for 3 pounds
Student Notes
5-2 Unit Rates / Unit Costs
Textbook 232 - 235
Unit Rate…
It is the rate for “1” unit of something!
Example: If you drive 200 miles in 5 hours, how far did you drive in 1 hour?
STEP 1
Write the problem as a
ratio in fraction form.
200 miles
5 hours
STEP 2
Divide to get your
answer!
40 miles in 1 hour
Unit Cost (also known as unit price)…
It is the amount it costs for “1” unit of something!
Example: Mimi went to the market and bought 7 apples for $3.15.
How much did each apple cost?
STEP 1
Write the problem as a
ratio in fraction form
as follows:
STEP 2
Divide to get your
answer!
Round to the nearest
cent if necessary.
$3.15
7
.45 cents
Name: ___________
Classwork
Period: __________
Unit Rates and Proportional Reasoning
Write the unit rate for each situation. Show your raito!
1) travel 250 mi in 5 h
_______________________
3) read 80 pages in 2 h
_______________________
5) manufacture 2,488 parts in 8 h
_______________________
2) earn $75.20 in 8 h
_______________________
4) type 8,580 words in 165 minutes
_______________________
6) 50 copies of a book on 2 shelves
_______________________
Find each unit price. Show your ratio. Circle the better buy!
7) paper:
100 sheets for $.99
500 sheets for $4.29
8) peanuts: 1 lb for $1.29
12 lb for $11.40
______________________
_______________________
_______________________
_______________________
9) crackers: 15 oz for $1.79
12 oz for $1.30
10) apples:
3 lb for $1.89
5 lb for $2.49
_______________________
_______________________
_______________________
_______________________
11) mechanical pencils: 4 for $1.25
25 for $5.69
12) bagels:
4 for $.89
6 for 1.39
_______________________
_______________________
_______________________
_______________________
Grading Scale
______ 50 pts
Worked quietly,
stayed on task, &
followed rules for
Think, Pair, Share.
_______ 50 pts
Work shown as
taught in class.
Classwork
Answer Key
Unit Rates and Proportional Reasoning
Write the unit rate for each situation.
1) travel 250 mi in 5 h
50 miles
in 1 hour
_______________________
3) read 80 pages in 2 h
40 pages
in 1 hour
_______________________
5) manufacture 2,488 parts in 8 h
311 parts
in 1 hour
_______________________
2) earn $75.20 in 8 h
$9.40
in 1 hour
_______________________
4) type 8,580 words in 165 minutes
52 words in 1 minute
_______________________
6) 50 copies of a book on 2 shelves
25 copies on 1 shelf
_______________________
Find each unit price. Then circle the better buy!
7) paper:
100 sheets for $.99
500 sheets for $4.29
8) peanuts: 1 lb for $1.29
12 lb for $11.40
$ .0099 per sheet
_______________________
$ 1.29 per pound
_______________________
$ .00858 per sheet
_______________________
$ .95 per pound
_______________________
9) crackers: 15 oz for $1.79
12 oz for $1.30
10) apples:
3 lb for $1.89
5 lb for $2.49
$ .12 per oz
_______________________
$ .63 per pound
_______________________
$ .11 per oz
_______________________
$ .50 per pound
_______________________
11) mechanical pencils: 4 for $1.25
25 for $5.69
12) bagels:
4 for $.89
6 for 1.39
$ .31 per pencil
_______________________
$ .22 per bagel
_______________________
$ .23 per pencil
_______________________
$ .23 per bagel
_______________________
Name:
Date:
Period:
_____________________
_____________________
________
Unit Rates
Find the unit rate for each situation. Please show where you set up your ratio in fractional form.
Make sure you round to the nearest hundredth if necessary.
1) Traveling 1,200 miles in 4 hours
= ___________ miles per hour
2) Reading 53 pages in 2 hours
= ___________ pages in one hour
3) Scoring 96 points in 6 games
= ___________ points in one game
Find each unit cost. Please show where you set up your ratio in fractional form.
Make sure you round to the nearest cent if necessary. Remember:
4) $3.45 for 3.7 oz
5) $9 for 5 L
= $___________ per oz
= $___________ per L
6) Which is the better buy?
Detergent:
32 fl oz for $1.99
= $________
OR
50 fl oz for $2.49
= $________