Rate Runners Teacher Guide Rate Runners: Teacher Guide
A 6-Day Intensive for NC.7.RP.1 (SPED Resource Room Focus)
Unit Overview
This unit moves students from basic understanding of ratios to computing unit rates with fractions and comparing real-world values. Focus on consistent procedures , keyword identification , and visual scaffolding .
IEP Goal Alignment
"Given a ratio or word problem, the student will calculate the unit rate (including those with vertical fractions) with 80% accuracy over 5 trials."
Key Accommodations
Calculator use for all calculations
High-contrast visual aids (vertical fractions)
Graphic organizers for division steps
Reduced reading load / keyword highlighting
Day 1: Rate Foundations
Whole Number Unit Rates
Step 1 (Warm-up): Identify "groups" and "items". Use visual cards with pictures.
Step 2 (Direct Instruction): Introduce the "Unit Rate Rule": Total ÷ How Many .
Step 3 (Guided Practice): Model dividing total price by quantity using 'The Secret Formula' notes in the workbook.
Day 2: Fraction Fractions
Unit Rates with Simple Fractions
Step 1: Review "Fraction Bar means Divide". Emphasize vertical alignment.
Step 2: Introduce "Keep-Change-Flip" (KCF) for complex fractions. Use the anchor chart.
Step 3: Practice with unit rates like 12 mile in 14 hour.
Day 3: Best Buy Battle
Comparing Prices
Step 1: Consumer Math Intro. Discuss: "Which is cheaper?" using real boxes.
Step 2: The "Money First" Rule (Price ÷ Items ).
Step 3: Compare two unit prices. Lower price = Better Buy.
Day 4: Measurement Mashup
Real-World Measurements
Step 1: Identify keywords in complex measurements (MPH, GPH).
Step 2: Multi-step problem solving with area and recipes.
Step 3: Note: Identify denominator using 'per' keyword.
Day 5: Rate Relay
Collaborative Review Activity
Step 1: Divide students into pairs. Give each pair a recording sheet.
Step 2: Rotation stations. Use the 4 Station Cards around the room.
Step 3: "Teacher Checkpoint" - Students must show work for one station before moving to the next.
Day 6: Final Faceoff
Mock Test & Assessment
Step 1: 10-minute speed review of all anchor charts.
Step 2: Mock Test delivery. Focus on keyword underlining.
Step 3: Celebrate growth and track IEP progress.
Differentiation Strategies
For Non-Readers:
Use icon-based worksheets where images represent items. Read problems aloud during the Relay.
For Physical Needs:
Provide a division template with large boxes. Allow students to "call over" the teacher instead of moving.
For Higher Levels:
Add a 5th "Bonus Station" with a 2-step problem involving unit rate (e.g., if 1 gal = 200 sq ft, how many for 5 gals?).
Rate Runners Anchor Charts Pack Ratio Basics
🍎🍎🍎
TO
🍌🍌
Colon
3 : 2
Word
3 to 2
Fraction
3 2
"The order of the words matches the numbers!"
Unit Rate
A rate for ONE unit.
=
DIVIDE
TOTAL ÷ #
PER
EACH
EVERY
UNIT
The Money Rule
"Money Goes First!"
$
÷
Example:
$10.00 5 bags
=
$2.00 per bag
Keep Change Flip
K
Keep
The 1st fraction
C
Change
The ÷ sign
F
Flip
The 2nd fraction
"Dividing by a fraction is the same as multiplying by its flip!"
Rate Runners Day 1 Workbook Rate Runners: Day 1 Mission Log
Goal: Master Whole Number Unit Rates
NAME:
DATE:
Mission Warm-Up: Finding "The One"
Circle the keyword that means exactly 1 in each sentence.
1. I bought 3 apples for $1.00 each.
2. The car was driving 60 miles per hour.
3. Every single ticket costs $15.
The Secret Formula
To find the Unit Rate, we DIVIDE:
TOTAL
÷
HOW MANY
Example: $20 for 5 T-shirts. What is the price for 1 shirt?
Set it up
20 ÷ 5
Calculate
Label it
Price per shirt
Training Ground: Independent Practice
1. Juice Boxes
A pack of 8 boxes costs $16.00.
How much for 1 box?
2. Running Speed
A runner goes 12 miles in 2 hours.
Miles per hour?
Mission Accomplished: Exit Ticket
A bag of 5 apples costs $10.00. Write the division sentence and solve for the unit rate.
Division Sentence
Final Unit Rate
$ ________ per apple
Rate Runners Instructional Slides Rate Runners
UNIT RATE MASTERY • TEST PREP
The Division Rule
Total
How Many
= UNIT RATE
The Keyword Hunt
PER
EACH
FOR EVERY
These words tell us to divide and find the unit rate.
"Soda costs $2.00 per bottle."
Fractions? Use KCF!
K
Keep
The 1st fraction
C
Change
Change
F
Flip
Flip the 2nd
KCF Example
1 2
÷
1 4
1 2
×
4 1
Better Buy Battle
Small Box
$5.00 for 10 oz
Unit Rate: $0.50 / oz
Large Box
$8.00 for 20 oz
Unit Rate: $0.40 / oz
Large Box Wins!
Rate Relay Rules
1 Grab your Recording Sheet
2 Find a Station & Solve
3 Teacher Check before moving!
Rate Runners Day 2 Workbook Rate Runners: Day 2 Mission Log
Goal: Master Fractional Unit Rates
NAME:
DATE:
Mission Warm-Up: Flip It!
Write the "flipped" version of these fractions.
1 2
? ?
1 4
? ?
2 3
? ?
The KCF Strategy
K
Keep
Don't change the 1st fraction
C
Change
Change ÷ to ×
F
Flip
Flip the 2nd fraction
Problem: 1 2 mile in 1 4 hour
1 2
÷
1 4
1 2
×
Training Ground: Fractional Rates
1. The Snail Race
A snail crawls 1 4 foot in 1 2 minute.
Step 1: Set Up
1 4
÷
1 2
Step 2: KCF
1 4
×
2 1
Step 3: Solve
_______ ft/min
2. Cooking Time
A chef uses 1 3 cup of sugar for 1 3 batch of cookies.
Set Up
÷
KCF
×
Solve
_______ cups
Exit Ticket
Find the unit rate: 1 5 mile in 1 10 hour.
________ MPH
Rate Runners Day 3 Workbook Rate Runners: Day 3 Mission Log
Goal: Win the Best Buy Battle
Name:
Date:
Mission Warm-Up
1. 10 miles in 2 hours
________ mph
2. $15 for 3 shirts
$ ________ / shirt
The Money First Rule
In your calculator:
MONEY ALWAYS GOES FIRST!
$ PRICE
÷
QUANTITY
Example: Finding the "Better Buy"
The Better Buy is the one with the LOWER price per item.
$2.00
$1.50 ✨
Best Buy Battle Ground
Battle #1: Cereal Showdown Store Price Wars
Small Box
10 oz for $5.00
$ ________ / oz
VS
Large Box
20 oz for $8.00
$ ________ / oz
Circle the winner!
Small
Large
Battle #2: Pizza Party
Pizza Palace
2 Pizzas for $20.00
$ ________ / pizza
VS
Pizza Planet
3 Pizzas for $27.00
$ ________ / pizza
Circle the winner!
Palace
Planet
Exit Ticket: The Champion
Store A sells 4 apples for $2.00 . Store B sells 5 apples for $3.00 . Solve for both unit rates and choose the better buy.
Store A (Money ÷ Quantity)
$ ________ / apple
Store B (Money ÷ Quantity)
$ ________ / apple
Select the Better Buy:
Store A
Store B
Rate Runners Day 4 Workbook Rate Runners: Day 4
Goal: Master Real-World Measurements
Name:
Date:
Mission Warm-Up
Deal A: 2 tickets for $30
$ ________ / ticket
Deal B: 4 tickets for $40
$ ________ / ticket
Mapping the Unit
SPEED
mph
miles per hour
LIQUID
cups/serv
cups per serving
AREA
sq ft/gal
sq ft per gallon
Pro Tip
The "Per" Rule:
Whatever comes AFTER the word "per" is what you divide by!
Miles per Hour
Miles ÷ Hour
Measurement Lab
1. The Road Trip
A car travels 150 miles in 3 hours.
Speed in miles per hour?
Show Work
________ mph
2. The Smoothie Shop
Uses 12 cups of juice to make 6 smoothies.
Cups of juice per smoothie?
Show Work
________ cups/smoothie
3. The Paint Wall
Paint covers 400 sq ft using 2 gallons.
Rate in sq ft per gallon?
Show Work
________ sq ft/gal
Exit Ticket: Measurement Pro
A chef makes 30 pancakes using 10 cups of batter. Calculate the unit rate of pancakes per cup .
Division Set-up
Labelled Answer
________
Pancakes / Cup
Remember: The word AFTER "per" goes LAST in your division. (Pancakes ÷ Cup)
Rate Relay Station Cards Rate Relay
Instructions
How to Play
1
Work in pairs or teams.
2
Visit each station around the room.
3
Solve the task on your Mission Log.
4
Get a Teacher check before moving!
Ready? Set? RUN!
Station 1
The Fast Lane
A professional race car travels 500 miles in 2 hours.
Your Relay Task:
Calculate the unit rate in MPH.
Station 2
Snack Attack
Option A
10 Donuts
Option B
20 Donuts
Your Relay Task:
Which is the better buy?
Station 3
Snail's Pace
A snail crawls
1 2
mile in
1 4
hour.
Your Relay Task:
Use Keep-Change-Flip to find the MPH.
Station 4
Recipe Run
A recipe uses 4 cups of flour to make 20 cookies.
Your Relay Task:
How many cookies per cup of flour?
Station 5
The Paint Job
A master painter can paint 400 square feet using 2 gallons of paint.
Your Relay Task:
Find the square feet per gallon.
Rate Relay Mission Log Rate Relay
Mission Log Recording Sheet
Team:
Date:
S1
S2
S3
S4
S5
1
The Fast Lane
Show Work:
________ MPH
2
Snack Attack
A Rate
$ ____/ea
B Rate
$ ____/ea
Winner:
A
B
3
Snail's Pace
÷
×
________ MPH
4
Recipe Run
Show Work Area:
________ / Cup
5
The Paint Job
Show Division Work:
________ sq ft / gal
Mission Checkpoint
Teacher stamp required for mission completion!
STAMP
EOG Practice Answer Sheet Grade 7 Mathematics
NC.7.RP.1 Practice Answer Sheet
Student Name:
Date:
Teacher:
A
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D
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B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
A
B
C
D
Gridded Response Item 8
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/
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STOP
End of NC.7.RP.1 Practice Assessment
EOG Mastery Mock Test Grade 7 Mathematics
NC.7.RP.1 Mastery Assessment
RELEASED
Instructions:
Read each question carefully. Use the provided workspace to perform your calculations. For multiple-choice questions, mark your answer on the answer sheet. For the gridded response item, write your numerical answer in the boxes and fill in the corresponding bubbles.
A grocery store sells a 12-pack of bottled water for $4.80. What is the unit price per bottle?
A$0.30
B$0.40
C$0.48
D$2.50
Workspace
Sarah is training for a race. She runs
34
of a mile in
110
of an hour. What is Sarah’s average speed in miles per hour?
A
7
12
MPH
B
13
13
MPH
C
10
34
MPH
D
340
MPH
Workspace (KCF)
Go on to the next page
A recipe for purple paint calls for mixing
13
cup of blue paint with
12
cup of red paint. How many cups of blue paint are needed for every 1 cup of red paint?
A
16
cup
B
23
cup
C
1
12
cups
D6 cups
Workspace
A master painter can cover 120 square feet of a wall using
14
gallon of paint. What is the unit rate in square feet per gallon?
A30 square feet per gallon
B480 square feet per gallon
C240 square feet per gallon
D60 square feet per gallon
Workspace
Go on to the next page
A machine in a factory can produce 450 parts in 5 hours. At this constant rate, how many parts does the machine produce per hour?
A45 parts per hour
B90 parts per hour
C2,250 parts per hour
D80 parts per hour
Workspace
A pool is being filled with water. The pool fills at a rate of
EOG Mastery Answer Key NC.7.RP.1 Mastery Assessment
Teacher Scoring Guide & Answer Key
KEY
Item Key Detailed Solution Logic 1 B $4.80 ÷ 12 bottles = $0.40 per bottle . 2 A 34
÷
110
→
34
× 10 =
304
= **7.5 MPH (7
12
)**.
|
| 3 | B |
Blue ÷ Red →
13
÷
12
=
13
× 2 =**
23
cup**.
|
| 4 | B |
120 ÷
14
→ 120 × 4 = 480 square feet per gallon .
|
| 5 | B | 450 parts ÷ 5 hours = 90 parts per hour . |
| 6 | C |
15
÷
110
→
15
× 10 = 2 gallons per minute .
|
| 7 | B |
12
÷
23
→
12
×
32
=**
34
MPH**.
|
| 8 | Gridded | 300 miles ÷ 10 gallons = 30 MPG . Students should write 30 in the boxes. |
Mastery Rubric (NC.7.RP.1)
Mastery (80%+): 7 or 8 correct items. Student demonstrates high proficiency in whole number and fractional unit rates.
Partial Mastery (60-70%): 5 or 6 correct items. Student likely struggles with complex fractions (KCF) or unit rate comparisons.
Not Yet Proficient: 4 or fewer correct items. Focus on 'The Money First Rule' and basic ratio-to-division setups.
NC Department of Public Instruction Mathematics 7 • Released Assessment Key
