Fractions in recipes & sports
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Learning Objectives
- 1Read fractions used in real recipes and sports stats
- 2Halve and double recipe amounts using fraction multiplication
- 3Compare fractions like 3/5 and 2/3 to judge sports performance
- 4Solve word problems that mix fractions, recipes, and game stats
Mini Lesson
Fractions live outside the math book. They show up every time you cook a meal or watch a game. In this Unit 5 project lesson, you will use fractions to halve a recipe, double a batch, and judge how well a player performed.
Fractions in the Kitchen
A recipe lists exact amounts: 3/4 cup of flour, 1/2 cup of sugar, 1/4 cup of butter. If you want to make HALF the recipe, multiply every amount by 1/2. If you want to make DOUBLE, multiply by 2. The fraction tells you how much of one full cup to scoop.
- Read each ingredient amount as a fraction of a cup
- To halve: multiply each amount by 1/2 (so 3/4 becomes 3/8)
- To double: multiply each amount by 2 (so 3/4 becomes 6/4 or 1 1/2)
- Measure carefully — fractions in cooking must be exact
Fractions on the Scoreboard
Sports use fractions to describe how well a player or team did. A basketball player who makes 3 free throws out of 5 attempts has a free-throw fraction of 3/5. A soccer team that scored on 2 of 3 attempts has a scoring fraction of 2/3. The top number is what HAPPENED; the bottom is what was TRIED.
- 3/5 free throws made = 3 out of every 5 shots scored
- 2/3 goal attempts scored = 2 out of every 3 tries went in
- To compare 3/5 and 2/3: find a common denominator (15) — 3/5 = 9/15, 2/3 = 10/15, so 2/3 is the better rate
- A bigger fraction (closer to 1) means a stronger performance
Project Idea: Cook a Fraction
Pick a simple recipe at home (cookies, pancakes, smoothie). Write the original amounts as fractions. Then create TWO new versions: a halved version and a doubled version. Show your fraction math next to each ingredient.
A pancake recipe needs 2/3 cup of milk. You want to make HALF the recipe.
How much milk do you need?
1/2 of 2/3 = (1 x 2) / (2 x 3) = 2/6 = 1/3. Multiply numerators, multiply denominators, then simplify.
Tip: when you halve a fraction, you double the bottom number. 1/2 of 3/4 = 3/8 because the slices got smaller, not bigger.
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