Fairground Fractions Project Guide
Fairground Fractions
Official Project Guide • Grade 4
The Big Opening
Step right up! You have been hired as the Lead Engineer for the grand opening of **Fraction Fair**, the world's first math-themed amusement park.
Before the gates open, you must ensure all the rides are safe and the snacks are fair. You'll need to use your expertise in **equivalent fractions** to solve puzzles across the park.
YOUR MISSION
-
1
Fix the Rides: Use multiplication to find equivalent fractions and scale up ride capacities.
-
2
Standardize Snacks: Use division to find equivalent fractions and simplify concession measurements.
-
3
Design Your Poster: Create a colorful display showing your work for 4 different park attractions.
Project Checklist
4 Ride Tasks completed
Multiplication steps shown
Division steps shown
Visual drawings for each
Poster is colorful & neat
Poster Requirements
You will need:
- Large Poster Board
- Crayons or Markers
- Glue and Scissors
- Task Card Printouts
TOP SECRET ENGINEERING TIPS
Scaling UP (Multiplication)
To find an equivalent fraction with a larger denominator, multiply the top and bottom by the same number.
1
2
× 3/3 =
3
6
Scaling DOWN (Division)
To find an equivalent fraction with a smaller denominator, divide the top and bottom by the same number.
4
12
÷ 4/4 =
1
3
Fraction Fair Engineering Dept. • Project Code: EQ-400
Ride Mechanic Task Cards
The Ferris Wheel
Task Card #1: Scaling Up
Engineering Report: Currently, 2/3 of the gondolas are full. To prepare for the crowds, we are expanding the wheel to have 12 gondolas total.
GOAL: Find an equivalent fraction with a denominator of 12. Show your multiplication!
2
3
×
=
12
Visual Engineering Model (Draw it!)
The Mega-Coaster
Task Card #2: Scaling Down
Safety Check: The coaster track is 6/18 of the way through its morning inspection. Simplify the fraction to give the manager a quicker report.
GOAL: Find an equivalent fraction with a denominator of 3. Show your division!
6
18
÷
=
3
Visual Engineering Model (Draw it!)
Sugar Spin Snacks
Task Card #3: Scaling Down
Inventory Check: The snack bar has used up 4/10 of its blue raspberry sugar supply. We need to report this in its simplest form.
GOAL: Find an equivalent fraction with a denominator of 5. Show your division!
4
10
÷
=
5
Visual Engineering Model (Draw it!)
Bumper Bash
Task Card #4: Scaling Up
Design Plans: Exactly 3/4 of the bumper cars must be bright red. If there are 20 cars in the arena, how many are red?
GOAL: Find an equivalent fraction with a denominator of 20. Show your multiplication!
3
4
×
=
20
Visual Engineering Model (Draw it!)
Poster Component Set
Teachers: Have students cut out these elements to decorate and organize their project poster.
FAIRGROUND FRACTIONS
Grand Opening Display
Lead Engineer
Name:
Date:
Multiplication Station
Division District
Cut-Out Decorations
Snack Bar
Admit One
Big Top
Magic Show
Engineer's Concluding Report
What did you learn about equivalent fractions? How did you use multiplication and division to help?
Fairground Fractions Teacher Guide
Fairground Fractions
Teacher Resource & Rubric
Engineering Answer Key
The Ferris Wheel
Goal: Denominator of 12
\( \frac{2}{3} \times \frac{4}{4} = \frac{8}{12} \)
The Mega-Coaster
Goal: Denominator of 3
\( \frac{6}{18} \div \frac{6}{6} = \frac{1}{3} \)
Sugar Spin Snacks
Goal: Denominator of 5
\( \frac{4}{10} \div \frac{2}{2} = \frac{2}{5} \)
Bumper Bash
Goal: Denominator of 20
\( \frac{3}{4} \times \frac{5}{5} = \frac{15}{20} \)
Project Rubric
| Criteria | Master Engineer (4) | Junior Engineer (3) | Apprentice (2) | Trainee (1) |
|---|
| Mathematical Accuracy | All equivalent fractions are correct. | 3 out of 4 fractions are correct. | 2 out of 4 fractions are correct. | 1 or fewer fractions are correct. |
| Mathematical Process | Clearly shows all multiplication/division steps with identity fractions. | Shows steps for most problems; minor errors in notation. | Shows some steps but process is unclear or inconsistent. | Little to no work shown beyond the final answer. |
| Visual Representation | All drawings accurately represent the equivalent fractions. | Most drawings are accurate; minor shading errors. | Drawings are present but do not match the math. | Visual models are missing or incorrect. |
| Presentation | Poster is exceptionally organized, colorful, and creative. | Poster is neat and easy to follow. | Poster is somewhat disorganized or messy. | Poster is unfinished or lacks required components. |
Teaching Tips
- Scaffolding: For students who struggle, remind them that they are looking for "Who is the giant 1?" (e.g., \(4/4\) or \(2/2\)).
- Extension: Challenge early finishers to create a 5th ride task of their own on the back of the poster.
- Display: Once finished, host a "Gallery Walk" where students visit each other's carnivals and check the math.
