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1. 1. The Math of Chocolate Chip Cookies
2. 2. Traditional Chocolate Chip Cookie RecipeIngredients2 1/4 cups all-purpose flour Directions Preheat oven to 375° F1 teaspoon baking soda Combine flour, baking soda and salt in1 teaspoon salt small bowl. Beat butter, granulated1 cup (2 sticks) butter, softened sugar, brown sugar and vanilla extract in3/4 cup granulated sugar large mixer bowl until creamy. Add3/4 cup packed brown sugar eggs, one at a time, beating well after each1 teaspoon vanilla extract addition. Gradually beat in flour mixture. Stir in chocolate chips. Drop by rounded2 large eggs tablespoon onto ungreased baking sheets.2 cups chocolate chips Bake for 9 to 11 minutes or until golden brown. Cool on baking sheets for 2 minutes then transfer to a cooling racks for 10 more minutes. Enjoy!
3. 3. Measuring the Ingredients measurement• Measurements in this recipe include • Tablespoons • Teaspoons • Cups• It is important to make your measurements exact so that your cookies come out tasting delicious!• Most cookie recipes, such as the one on the previous slide, express measurements as a fraction.• An example would be the 3/4 cup of brown sugar.
4. 4. Converting the Recipe algebra, data analysis and probability• The measurements, otherwise known as your referents in the recipe, are proportional to one another.• Sometimes you may not have the referent, such as a cup or a teaspoon you need, and you may have to convert your recipe.• Some helpful conversions include: • 3 teaspoons = 1 tablespoon • 16 tablespoons = 1 cup • 2 cups = 1 pint • 4 cups = 1 quart
5. 5. Many Parts, One Cookie number and operations• Although there are many ingredients that go into making a cookie (the parts) the end result once the recipe has been carried out is a delicious cookie (a whole)!
6. 6. Oven Temperature measurement• The chocolate chip cookie recipe calls for the oven to be preheated. This means you will need to turn on the oven before beginning the other steps of the recipe so it will have enough time to warm to the needed temperature.• Ovens in the United States are measured in degrees Fahrenheit and are displayed as a small circle followed by an F.• This recipe calls for the oven to be heated to 375°F.
7. 7. Doubling and halving recipes number and operations• Sometimes you will not want 36 medium chocolate chip cookies.• You may want 18 cookies or 72 cookies.• Decreasing your recipe by half is known as halving the recipe and increasing your recipe to twice as much is known as doubling the recipe.• All you need to remember is to either multiply your ingredients by two or divide your ingredients by two.• You can also triple or quadruple a recipe.
8. 8. Shapes of the cookies geometry• Cookies usually come in a round circular shape, but they do not have to.• Cookie bars, which are rectangles, are often eaten by rolling the cookie dough into a pan and baking it as a sheet of cookie. As it cools it is cut up just like brownies are.• Cookies can also be made into triangles by cutting the sheet of cookies that way, or even giant circles by placing the dough into a large circular plan.
9. 9. Probability of chips in cookies probability• There are 656 chocolate chips in one 12 oz bag of chocolate chips.• One 12 oz bag of chocolate chips makes 36 medium sized cookies.• This means that because there are 656 chocolate chips in 36 cookies there are about 18 chocolate chips per medium cookie you make.
10. 10. Geometry of a Chocolate Chip geometry• Chocolate chips have a very specific shape.• They have a flat bottom, a wide and circular center, and become more narrow at the top of the chip.• This is also known as a teardrop shape.• Each chocolate chip is 1cm at its base.
11. 11. Time measurement• Time is very important with cooking.• Time is used in this chocolate chip cookie recipe to make sure the cookies are baked so they look delicious, taste delicious, and will not make the taster sick.• Time is spent preparing the ingredients, mixing the ingredients, baking the cookies, and letting them cool.• The referents for time include seconds, minutes, hours, and days.• This recipe uses minutes as the referent.• Make sure you leave some minutes for eating the cookies too!
12. 12. Sharing per person number and operations• It is always kind to share your freshly baked cookies with a friend, your class, or a family member.• To do this you will need to make sure everyone gets the same amount of cookies.• One way to do this is by using a division algorithm.• If you have 18 students in the classroom and you have 36 cookies that means each student can have 2 cookies each.
13. 13. What is a dozen? number and operations• This recipe makes 24 large chocolate chip cookies or 36 medium sized cookies.• That means there are two dozen large cookies or three dozen medium cookies!• A dozen is another word for twelve.• Many things besides cookies can come in a dozen such as eggs or donuts.• A bakers dozen is 13!