Batch Breakdown Slides Batch Breakdown
Subtracting Fractions from Wholes
Today's Special: Mixed Number Math
The Baker's Goal
Today, we will learn how to subtract fractions from whole numbers (like 2, 3, or 4) by using visual models and decomposition.
The Quick Knead
Remember how we subtract from 1?
\[ 1 - \frac{3}{4} = ? \]
X
X
X
Baker's Secret:
Think of 1 whole as a fraction with the same numerator and denominator!
\[ 1 = \frac{4}{4} \]
\[ \frac{4}{4} - \frac{3}{4} = \frac{1}{4} \]
The Big Order
Baker Bob has 3 whole pies on the counter. A customer comes in and buys \( \frac{2}{3} \) of a pie.
How much pie does Bob have left?
Strategy 1: Slice It Up!
VISUAL MODEL
3 Wholes
X X
2 wholes and \( \frac{1}{3} \) left
We only need to "break" ONE whole pie to subtract the fraction!
Strategy 2: The Crumb Path
NUMBER LINE
0 1 2 3
Jump back \( \frac{2}{3} \)
We land on 2 wholes and \( \frac{1}{3} \)!
Strategy 3: Decompose
ABSTRACT
3
2
1
1. Separate one whole:
\[ 3 = 2 + 1 \]
2. Subtract from that one whole:
\[ 1 - \frac{2}{3} = \frac{1}{3} \]
3. Put it back together:
\[ 2 + \frac{1}{3} = 2 \frac{1}{3} \]
Baker's Challenge #1
\[ 4 - \frac{2}{5} \]
Which strategy will you use?
Baker's Challenge #2
\[ 2 - \frac{5}{8} \]
Think: \( 2 = 1 + \_\_\_\_ \) \( 1 - \frac{5}{8} = \_\_\_\_ \) Total: \_\_\_\_
Master Baker!
You've mastered the art of taking parts from wholes. Remember: breaking just one whole into slices is all it takes!
Next: Practice with your Batch Breakdown Task Cards!
Batch Breakdown Task Cards Batch Breakdown
Subtraction Task Cards
Math in the Kitchen
1
Cookie Craze
A batch has 2 whole trays of cookies. The baker eats \( \frac{1}{4} \) of a tray. How many trays are left?
2
Cake Cut
You have 3 whole cakes. You sell \( \frac{2}{5} \) of a cake. What fraction of the cakes do you have remaining?
\[ 3 - \frac{2}{5} = \_\_\_ \]
3
Pie Party
A shelf holds 5 whole cherry pies. Customers buy \( \frac{5}{6} \) of one pie. How much is left on the shelf?
4
Dough Dilemma
Solve using the decomposition strategy:
\[ 4 - \frac{3}{8} \]
Split 4 into 3 and 1...
5
Milk Measurement
A recipe calls for \( \frac{2}{3} \) cup of milk. You have 2 whole cups. How much milk will be left?
6
Line Logic
Use a number line to solve:
\[ 3 - \frac{3}{4} \]
7
Kitchen Math
Calculate the difference:
\[ 6 - \frac{4}{9} \]
8
Sugar Sack
You have 4 kg of sugar. You use \( \frac{7}{10} \) kg for brownies. How much sugar is left?
\[ 4 - \frac{7}{10} = \_\_\_ \]
Cut along the solid lines to create your Task Card set!
Fresh Batch Worksheet Fresh Batch Worksheet
Level 1: Visual Modeling & Step-by-Step
Name:
Date:
Baker's Tip: Only break one whole into pieces! The other wholes stay exactly as they are.
1 Slice and Shade
The first whole is already sliced for you. Shade the fraction to "eat" it, then count what's left.
\[ 2 - \frac{1}{3} \]
Answer: Â
\[ 3 - \frac{3}{4} \]
Answer: Â
2 Decomposition Recipe
Follow the steps to break down the whole number.
Solve: \[ 4 - \frac{2}{5} \]
Step 1: Break it
4 = 3 + 1
Step 2: Subtract
1 - \( \frac{2}{5} \) = ____
Step 3: Combine
3 + ____ = ____
Solve: \[ 2 - \frac{5}{8} \]
Step 1: Break it
2 = 1 + ____
Step 2: Subtract
1 - \( \frac{5}{8} \) = ____
Step 3: Combine
1 + ____ = ____
Rolling Dough Worksheet Rolling Dough Worksheet
Level 2: Standard Practice & Modeling
Name:
Date:
Draw Your Batch
Draw circles or rectangles to model the problem. Shade the part that is subtracted.
1. \[ 3 - \frac{2}{3} \]
Answer: _________
2. \[ 2 - \frac{3}{5} \]
Answer: _________
Quick Calculations
\[ 5 - \frac{1}{4} \]
\[ 4 - \frac{5}{6} \]
\[ 2 - \frac{7}{10} \]
\[ 6 - \frac{3}{8} \]
\[ 3 - \frac{4}{9} \]
\[ 10 - \frac{1}{2} \]
Bakery Orders
9. Baker Mia made 4 whole loaves of sourdough bread. She gave \( \frac{3}{4} \) of a loaf to a neighbor. How many loaves are left? Show your work.
10. There were 5 whole pies for a contest. The judges tasted \( \frac{2}{5} \) of one pie. What mixed number represents the amount of pie left?
Batch Breakdown Answer Key Answer Key
Batch Breakdown Resources
Teacher Resource
Fresh Batch Worksheet (Level 1)
1. \( 2 - \frac{1}{3} \)
Answer: \( 1 \frac{2}{3} \)
2. \( 3 - \frac{3}{4} \)
Answer: \( 2 \frac{1}{4} \)
3. \( 4 - \frac{2}{5} \)
Decomposition: \( 3 + (1 - \frac{2}{5}) = 3 \frac{3}{5} \)
4. \( 2 - \frac{5}{8} \)
Decomposition: \( 1 + (1 - \frac{5}{8}) = 1 \frac{3}{8} \)
Rolling Dough Worksheet (Level 2)
1. \( 3 - \frac{2}{3} = \mathbf{2 \frac{1}{3}} \)
2. \( 2 - \frac{3}{5} = \mathbf{1 \frac{2}{5}} \)
3. \( 5 - \frac{1}{4} = \mathbf{4 \frac{3}{4}} \)
4. \( 4 - \frac{5}{6} = \mathbf{3 \frac{1}{6}} \)
5. \( 2 - \frac{7}{10} = \mathbf{1 \frac{3}{10}} \)
6. \( 6 - \frac{3}{8} = \mathbf{5 \frac{5}{8}} \)
7. \( 3 - \frac{4}{9} = \mathbf{2 \frac{5}{9}} \)
8. \( 10 - \frac{1}{2} = \mathbf{9 \frac{1}{2}} \)
9. Word Problem: \( 4 - \frac{3}{4} = \mathbf{3 \frac{1}{4}} \) loaves left.
10. Word Problem: \( 5 - \frac{2}{5} = \mathbf{4 \frac{3}{5}} \) pies left.
Batch Breakdown Task Cards
Card 1:
\( 1 \frac{3}{4} \)
Card 2:
\( 2 \frac{3}{5} \)
Card 3:
\( 4 \frac{1}{6} \)
Card 4:
\( 3 \frac{5}{8} \)
Card 5:
\( 1 \frac{1}{3} \)
Card 6:
\( 2 \frac{1}{4} \)
Card 7:
\( 5 \frac{5}{9} \)
Card 8:
\( 3 \frac{3}{10} \)
