Can’t do percentages with common core math
Huh? Of course you can! Here is the Common Core-Style solution to a common problem. It's very simple!
Jasmine has 3/4 of a pizza left. She wants to share it equally with her 2 friends. How much pizza does each friend get?What could possibly be simpler?1. Understand the problem using a number line and visual decomposition:
➣ First, draw a number line from 0 to 1 to represent the whole pizza.
➣ Divide the number line into 4 equal parts because the pizza is divided into quarters.
➣ Shade 3 of the 4 parts to represent 3/4 of the pizza.2. Decompose the fraction into smaller parts:
➣ Each 1/4 of the pizza can be further broken down into smaller units to make sharing easier.
➣ Decide to break each 1/4 into 2 equal parts, so each 1/4 becomes 2/8.
➣ Now, 3/4 = (2/8 + 2/8 + 2/8) = 6/8.3. Distribute the pizza using the decomposed fraction:
➣ There are 3 people total (Jasmine + 2 friends).
➣ Divide the 6/8 of the pizza equally among 3 people.
➣ To do this, use a partitive division model: 6/8 ÷ 3 = (6/8) × (1/3).
➣ Perform the fraction multiplication: (6/8) × (1/3) = 6/24.3. Simplify the result:
➣ Simplify 6/24 by dividing the numerator and denominator by 6: 6/24 = 1/4.
➣ So, each person gets 1/4 of the pizza.4. Check the answer using a visual model:
➣ Draw a circle to represent the pizza.
➣ Divide the circle into 4 equal parts.
➣ Shade 3 parts to represent 3/4.
➣ Now, divide each of the 3 shaded parts into 3 smaller sections (to distribute among 3 people).
➣ Each person gets 1 small section from each of the 3 shaded parts, confirming that each person gets 1/4.