Ratio Workshop Worksheet
Ratio Workshop
Part 1: Understanding & Writing Comparisons
Name:
Date:
What is a Ratio?
A ratio compares two quantities. You can write a ratio in 3 different ways:
With Words 3 to 2
With a Colon 3 : 2
As a Fraction 3 / 2
Model Example Order matters: First item : Second item
Stars
4 stars
to
Circles
3 circles
Ratio of Stars to Circles: 4 to 3 • 4 : 3 • 4/3
1
Guided Practice: Picture Ratios
Problem A: Count the triangles and squares. Write the ratio of Triangles to Squares in 3 ways.
|
Words:
____ to ____
Colon:
____ : ____
Fraction:
____ / ____
Problem B (Part to Whole): Write the ratio of Sunflowers to TOTAL Flowers.
|
Sunflowers: ____ Total Flowers: ____
Ratio (Sunflowers to Total):
Problem C (Fruit Stand): Look at the fruit in the basket below.
(3 Apples)
|
(2 Oranges)
Apples to Oranges: ____ : ____
Oranges to Total: ____ : ____
2
Real-World Ratios
Baking Cookies
A recipe requires 3 cups of flour for every 2 eggs.
Ratio of flour to eggs: ____ : ____
Soccer Tournament
The Tigers won 5 matches and tied 2 matches.
Ratio of wins to ties: ____ to ____
Tip: First item in the question is always the first number in your ratio! Page 1 of 4
Ratio Workshop
Part 2: Ratio Tables & Scaling Up
Building Equal Comparisons
The Golden Rule of Scaling
To build an equivalent ratio, multiply or divide BOTH terms by the exact same number!
1 : 3 (× 2) 2 : 6 (× 3) 3 : 9
3
Ratio Tables: Practice Scaling
Problem D: A smoothie blends 2 cups strawberries for every 3 cups yogurt. Complete the table.
Ratio 2 : 3
| Ingredient | 1 Batch | 2 Batches (×2) | 3 Batches (×3) | 4 Batches (×4) |
|---|
| Strawberries (cups) | 2 | 4 | ______ | ______ |
| Yogurt (cups) | 3 | 6 | ______ | ______ |
Rule: Multiply both ingredients by batch number. 3 Batches = ___ : ___
Problem E: Every 1 bicycle has 2 wheels. Fill in the missing values.
Ratio 1 : 2
| Item | 1 Bike | 2 Bikes | 3 Bikes | 5 Bikes | 10 Bikes |
|---|
| Number of Bicycles | 1 | 2 | 3 | 5 | 10 |
| Number of Wheels | 2 | ____ | ____ | ____ | ____ |
Problem F: Movie tickets cost $5 each (Ratio of Tickets to Cost is 1 : 5).
1 Ticket $5
2 Tickets (×2) $ ____
4 Tickets (×4) $ ____
6 Tickets (×6) $ ____
Tip: Find the multiplier in column 1, then multiply both rows by it! Page 2 of 4
Ratio Workshop
Part 3: Tape Diagrams & Bar Models
Equal Unit Blocks
What is a Tape Diagram?
A tape diagram uses rectangular boxes to show parts. Every box in the diagram holds the EXACT same value!
4
Tape Diagram Problems
Problem G (Model): The ratio of Blue Paint to Yellow Paint is 2 : 3.
Blue (2 parts):
4
4
Total Blue = 8 L
Yellow (3 parts):
4
4
4
Total Yellow = ?
Each block has a value of 4 liters.
Work space (Add or Multiply):
4 + 4 + 4 or 3 × 4 = 12
Yellow Paint Needed: 12 liters
Problem H: The ratio of Green Ribbon to White Ribbon is 3 : 1. The white ribbon is 5 inches long.
Green Ribbon (3 blocks):
5
5
5
White Ribbon (1 block):
5
White = 5 inches
How many inches long is the Green Ribbon?
Show your work below:
Answer: inches
Problem I: At an adoption shelter, the ratio of Cats to Dogs is 2 : 4. Each block equals 3 animals.
Cats (2 blocks):
3
3
Dogs (4 blocks):
3
3
3
3
Total Cats = cats
Total Dogs = dogs
Total Animals in all = animals
Tip: Find the value of 1 block first. Then multiply by how many blocks there are! Page 3 of 4
Ratio Workshop
Part 4: Independent Practice & Review
Mastery Check
5
Skill Check 1: Three Forms of a Ratio
Problem J: In an art box, there are 4 markers and 7 crayons. Write the ratio of markers to crayons in all 3 formats:
Words
____ to ____
Colon ( : )
____ : ____
Fraction
____ / ____
6
Skill Check 2: Equivalence Detective
Problem K: Are these ratios equivalent? Circle YES or NO.
1. Is 2 : 5 equivalent to 4 : 10? (Did both numbers double?)
YES NO
2. Is 3 : 4 equivalent to 6 : 7? (Check: Does 4 × 2 equal 7?)
YES NO
3. Is 1 : 4 equivalent to 5 : 20? (Check: Does multiplying by 5 work for both?)
YES NO
7
Skill Check 3: Word Problem with Work Space
Problem L: A car wash charges $10 for every 2 cars cleaned.
How much money will they charge to clean 6 cars?
Show your calculation or table:
Guided Clue:
2 cars × 3 = 6 cars.
What is $10 × 3?
Total Cost: $
How comfortable are you solving ratio problems?
😃 I've got this! 🙂 Getting there 🙋 I need some help
Great job completing your Ratio Workshop! Page 4 of 4
Ratio Workshop Answer Key
Ratio Workshop • Teacher Answer Key
Solutions & Teaching Notes: Pages 1 & 2
Teacher Reference
Worksheet Page 1: Understanding & Writing Ratios Visual Picture Comparisons
Problem A: Triangles to Squares 5 : 2
• Words: 5 to 2
• Colon: 5 : 2
• Fraction: 5 / 2
Problem B: Sunflowers to Total Part to Whole
• Sunflowers count: 3
• Total flowers: 7 (3 sunflowers + 4 tulips)
• Ratio: 3 to 7 (or 3 : 7, 3/7)
Problem C: Fruit Basket Mixed Checks
• Apples to Oranges: 3 : 2
• Oranges to Total: 2 : 5 (Total = 3 + 2 = 5)
Section 2: Real-World Ratios Word Contexts
• Baking: Flour to eggs = 3 : 2
• Tournament: Wins to ties = 5 to 2
Worksheet Page 2: Ratio Tables & Scaling Multiplication Scaling
Problem D: Smoothie Ratio Table (2 : 3) Scaling Multipliers: ×2, ×3, ×4
| Ingredient | 1 Batch | 2 Batches | 3 Batches | 4 Batches |
|---|
| Strawberries (cups) | 2 | 4 | 6 | 8 |
| Yogurt (cups) | 3 | 6 | 9 | 12 |
Check sentence: 3 batches = 6 cups strawberries : 9 cups yogurt.
Problem E: Bicycles to Wheels (1 : 2)
• 2 Bikes = 4 wheels (2 × 2)
• 3 Bikes = 6 wheels (3 × 2)
• 5 Bikes = 10 wheels (5 × 2)
• 10 Bikes = 20 wheels (10 × 2)
Problem F: Movie Tickets ($5 each)
• 1 Ticket = $5
• 2 Tickets = $10 (2 × 5)
• 4 Tickets = $20 (4 × 5)
• 6 Tickets = $30 (6 × 5)
Resource Room Misconception Alert: Students often add rather than multiply when completing ratio tables (e.g., adding 2 to both columns instead of multiplying both by 2). Remind them that equivalent ratios scale by multiplication or division.
