###### Sunnyvale

######

###### Saturday

###### Level 3

## Mr. Rodney

### Target 1

###### Lesson Type:

New

Number Operation

:

Fractional Numbers

Understand that a fraction is a quantity formed when a whole is partitioned into equal parts.

###### Supporting targets:

###### 1:

Compose a written fraction to describe a visual or a visual to describe a written fraction.

###### 2:

Understand and explain what a fraction is.

###### 3:

Identify the number of shaded or unshaded parts as the numerator of a fraction.

###### 4:

Identify the number of equal parts as the denominator of a fraction.

###### 5:

Determine the placement of a fraction on a number line.

###### Grade:

4th

###### Vocabulary:

Fraction, Numerator, Denominator, Whole, Equal Parts, Improper Fraction, Proper Fraction, Mixed Number/Fraction

Activities:

- Discussed and reviewed vocabulary and their definitions,
- Explored how to properly add fractions, understanding that when adding like fractions, only numerators are added.
- Discovered that in some cases, a numerator can be greater than the denominator, in which case it is an "improper fraction."
- Given a cookie recipe that only yields one serving, students related multiplying fractions to repeated addition in order to calcuate the recipe fit for the entire class.
- Measured out ingredients based on the new measurements, informally learning how to convert improper fractions into mixed numbers. For example, if the recipe calls for 5/4 tsp. of baking powder, they realized that 4/4 is one whole tsp, and would need and additional 1/4 tsp.
- Given a number line from 0 to 1, students estimated the approximate location of a dot represented by a fraction.

### Home Exploration

###### Challenge Problem:

Tommy found a quick and easy recipe for chocolate mug cakes (cakes you make in a mug). The recipe yields 3 servings but Tommy needs to make 12 and wants to make one big batch of batter. Use the attached recipe and convert the measurements so that Tommy has enough batter for 12 servings.

###### Challenge Data:

3/4 cups all-purpose flour

3/4 cup white sugar

6 tablespoons unsweetened cocoa powder

3/8 teaspoon baking soda

3/8 teaspoon salt

9 tablespoons milk

6 tablespoons canola oil

3 tablespoon water

3/4 teaspoon vanilla extract

Yields 3 mug cakes.

###### Guiding Questions:

If this recipe yields (makes) 3 mug cakes and we need 12, how many batches of this recipe would Tommy need to make? (4)

Now that we know we need 4 recipes, what math can we do to figure out how much of each ingredient we need for 12 mug cakes? (multiply by 4 or add the ingredients 4 times)

*Note: Adding fractions is a Level 4 concept. Keeping the new measurements as an improper fraction is completely fine as the focus of the class was adding like fractions. Converting improper fractions into a mixed fraction is a completely different lesson.

###### Challenge Answer:

12/4 cup all-purpose flour

12/4 cups white sugar

24 Tbs unsweetened cocoa powder

12/8 tsp baking soda

12/8 tsp salt

36 Tbs milk

24 Tbs canola oil

12Tbs water

12/4 tsp vanilla extract

Yields 12 mug cakes.