1. Adding Fractions and Mixed Numbers (Lesson Part I adding with like denominators of 20 or less)

2. Learning Objective Today we will solve simple problems, including ones arising in concrete situations, involving the addition of fractions and mixed numbers (using like denominators of 20 or less). Today we will solve simple problems, including ones arising in concrete situations, involving the addition of fractions and mixed numbers (using like denominators of 20 or less). concrete – solid and real able to be seen or touched because it exists in reality, not just an idea

3. Fractions are used in every day life situations. A chef for example uses fractions when adding the ingredients of a recipe to make a dish. A chef’s job involves measuring. Most of the time, the things a chef measures are fractional amounts like ½ teaspoon, ¾ tablespoon or 2 1/3 cups. Have you ever measured out ingredients to make a dish or a dessert? Sometimes, when I cook I need to make more or less of something than usual, so I must add, subtract, multiply, or divide fractions to figure out the right amount to add or delete from the recipe. In order for the recipe to turn out right, I must understand how to work with fractions. Using Fractions in Every Day Life APK

4. Fractions The word fraction means “part of a whole.” The word comes from the Latin word fractio, meaning “to break into pieces.” In math, a fraction means one or more parts of a whole or a set. The word fraction means “part of a whole.” The word comes from the Latin word fractio, meaning “to break into pieces.” In math, a fraction means one or more parts of a whole or a set. Concept Dev.

5. Numerators and Denominators A fraction has two parts, a numerator and a denominator. The denominator is the numeral written under the bar and tells the number of parts a whole is divided into. The numerator is the numeral written above the bar. The numerator tells the number of parts of the whole that are being counted. A fraction has two parts, a numerator and a denominator. The denominator is the numeral written under the bar and tells the number of parts a whole is divided into. The numerator is the numeral written above the bar. The numerator tells the number of parts of the whole that are being counted. numeratornumber of parts counted5 denominatortotal parts of a whole set6 Concept Dev. 5 6 of the pizza is remains in the illustration on the right

6. How Important are Fractions? Fractions are very important when cooking. If I don’t measure correctly or figure out just how much of something I need to add into a mixture when I cook, then the food I make won’t taste very good.Fractions are very important when cooking. If I don’t measure correctly or figure out just how much of something I need to add into a mixture when I cook, then the food I make won’t taste very good. Fractions are related to division.Fractions are related to division. Fractions help you problem solve since they are parts of a whole.Fractions help you problem solve since they are parts of a whole. Learning how to add fractions will help you perform well on tests.Learning how to add fractions will help you perform well on tests. Fractions relate to every day situations.Fractions relate to every day situations. Importance

7. A Real-World Fraction Problem In a couple of weeks I will need to double my Yummy Yum Cookies recipe in order to have enough baked cookies for my friend’s birthday party. I will need to double the recipe because I want to make eight dozen cookies instead of just four. To double the cookie recipe I will need to know how to add, simplify, and change fractions. In order to make the cookies turn out just right, I will have to solve a real-world fraction problem. Skill Dev.

8. Yummy Yum Cookie Recipe double To double the recipe I will need to add three different fractions to figure out how much butter, sugar, water, to put in. ¼ cup butter 1 cup brown sugar 1 ½ tsp vanilla 1 cup flour 1 tsp baking soda 2 ¾ cups of oats ½ cup sugar 1 egg ¾ water Remember: A fraction is a number used to name a part of a group or a whole. The number above the bar is the numerator, and the number below the bar is the denominator.

9. Starting with Butter! The first ingredient in the recipe is the butter. The recipe calls for ¼ cup of butter. The first ingredient in the recipe is the butter. The recipe calls for ¼ cup of butter. To double the amount of butter I will need to add ¼ + ¼ To double the amount of butter I will need to add ¼ + ¼

10. Steps First, I will look at the denominators of the First, I will look at the denominators of the two fractions I need to add. 1 + 1 4 4 4 4 Second, if I have common denominators, then I will add the numerators only and leave the denominator as it. Second, if I have common denominators, then I will add the numerators only and leave the denominator as it. Lastly, I will need to simplify if the fraction is not in simplest form. Lastly, I will need to simplify if the fraction is not in simplest form. Skill Dev.

11. Adding Fractions When I have a common denominator, all I have to do is add the numerators and keep the same denominator. 1 1/ 4 cup butter 1 2 + 1/ 4 cup butter 2/ 4 cups butter Skill Dev.

12. Simplifying the Fraction Since both 2 and 4 can be divided by 2 my fraction can be simplified. 2 ÷ 2 = 1 and 4 ÷ 2 = 2 which = ½ 2 2/4 cups butter is simplified as ½ a cup of butter.

13. Let’s try the next ingredient with a fraction. We need to double up ½ a cup of sugar. First, I will look at the denominators of the First, I will look at the denominators of the two fractions I need to add. 1 + 1 2 2 2 2 Second, if I have common denominators, then I will add the numerators only and leave the denominator as it. Second, if I have common denominators, then I will add the numerators only and leave the denominator as it. Lastly, I will need to simplify if the fraction is not in simplest form. Lastly, I will need to simplify if the fraction is not in simplest form.

14. How much sugar will you need? 1 + 1 1 + 1 2 2 = 1 whole 2 2 = 1 whole You will need 1 cup of sugar. sugar.

15. Let’s try the last ingredient with a fraction; the ¾ water. Follow the Steps. Follow the Steps. First, look at the denominators of the First, look at the denominators of the two fractions you need to add. Second,……………….. Second,……………….. Last,……………………. Last,…………………….

16. What’s your answer? 3+ 3 6 4 4 = 4 You will need to change this improper fraction to a mixed number. You will need to change this improper fraction to a mixed number. 6÷4= 6÷4= 4 6 =1 remainder 2 4 6 =1 remainder 2 That equals 1 ½ cups of water. That equals 1 ½ cups of water.

17. Problem Solved! ¼ cup shortening1/4 + 1/4 = 2/4 or 1/2 = 1/2 cup ½ cup sugar 1/2 + 1/2 = 2/2 or 1/1 = 1 cup ¾ cup water 3/4 + 3/4 = 6/4 or 3/2 = 1 1/2 cups ¾ cup water 3/4 + 3/4 = 6/4 or 3/2 = 1 1/2 cups 1 ½ tsp vanilla3/2 + 3/2 = 6/2 or 3/1 = 3 tsp ½ tsp baking soda1/2 + 1/2 = 2/2 or 1/1 = 1 tsp 2 ¾ cups of oats11/4 + 11/4 = 22/4 or 11/2 = 5 1/2 cups addsimplifychange fractionsdouble fractions Because I knew how to add, simplify, and change fractions to I was able to double the first three fractions ingredients in the recipe. Closure

18. Yummy Yum Cookie Recipe Conclusion U nderstanding fractions is really important, especially when following a recipe and measuring ingredients. U nderstanding fractions is really important, especially when following a recipe and measuring ingredients. Fractions apply to real-life situations. Fractions apply to real-life situations. Knowing how to add fractions helps you make more of a recipe, like doubling it or tripling its amount. Knowing how to add fractions helps you make more of a recipe, like doubling it or tripling its amount. Closure Continued.

19. The End.