🔢 MathGrade 5Lesson 36
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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
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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.

  1. Read each ingredient amount as a fraction of a cup
  2. To halve: multiply each amount by 1/2 (so 3/4 becomes 3/8)
  3. To double: multiply each amount by 2 (so 3/4 becomes 6/4 or 1 1/2)
  4. 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.

Worked example

A pancake recipe needs 2/3 cup of milk. You want to make HALF the recipe.

How much milk do you need?

Answer:1/3 cup

1/2 of 2/3 = (1 x 2) / (2 x 3) = 2/6 = 1/3. Multiply numerators, multiply denominators, then simplify.

Recipe Full vs HalvedTwo recipe cards side by side comparing a full batch (3/4 cup flour, 1/2 cup sugar, 1/4 cup butter, serves 8) with the halved batch (3/8, 1/4, 1/8 cup, serves 4).Recipe: Full Batch vs HalvedFull RecipeFlour3/4 cupSugar1/2 cupButter1/4 cupServes 8x 1Halve It (x 1/2)Flour3/8 cupSugar1/4 cupButter1/8 cupServes 4x 1/2Halving means multiply each amount by 1/2.
Halving a recipe halves every fraction.
Sports Stats FractionsBasketball free-throw fraction 3 of 5 made and soccer goal fraction 2 of 3 scored, shown as filled-bar visuals.Sports Stats: Fractions in ActionBasketball - Free ThrowsMade 3 of 5Score:3/5Soccer - Goals AttemptedScored 2 of 3Score:2/3A fraction compares the part made to the total tried.
Made shots vs total attempts as a fraction.
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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.

Vocabulary
numerator
The top number in a fraction — how many parts you have or made.
denominator
The bottom number in a fraction — how many equal parts in the whole.
halve
To split into two equal parts; multiplying by 1/2.
double
To make twice as much; multiplying by 2.
scoring rate
A fraction that shows successes out of total attempts in a game or match.
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