The document provides information about making traditional chocolate chip cookies, including measurements of ingredients, conversion of measurements, doubling or halving recipes, the shape and geometry of cookies and chocolate chips, probability of chocolate chips in cookies, sharing cookies evenly, and definitions of a dozen and bakers' dozen.

1. The Math of Chocolate Chip
Cookies

2. Traditional Chocolate Chip Cookie
Recipe
Ingredients
2 1/4 cups all-purpose flour
Directions
Preheat oven to 375° F
1 teaspoon baking soda
Combine flour, baking soda and salt in
1 teaspoon salt
small bowl. Beat butter, granulated
1 cup (2 sticks) butter, softened sugar, brown sugar and vanilla extract in
3/4 cup granulated sugar large mixer bowl until creamy. Add
3/4 cup packed brown sugar eggs, one at a time, beating well after each
1 teaspoon vanilla extract addition. Gradually beat in flour mixture.
Stir in chocolate chips. Drop by rounded
2 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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!