BUSINESS MATHEMATICS QUARTER 1 WEEK 1 Tchr. Joshua
FRACTIONS QUARTER 1 WEEK 1 Tchr. Joshua
Pre-Assessment A. Express the following as fractions of the units indicated: 6 as part of a dozen 6 hours as part of a day 25 years as part of a century 1 inch as part of a foot 6 days as part of a week B. A class is composed of 30 students. There are 20 girls and 10 boys. What fraction of the class are girls? Boys?
What is FRACTION? Represents a part of a whole Consists of a numerator and a denominator Numerator is the number above the fraction bar. Denominator is the number below the fraction bar. Fraction bar is called the vinculum which indicates division Numerator is the dividend Denominator is the divisor.
For example: If class consists of 30 students and we have 20 boys and 10 girls, we say that 20/30 or 2/3 are boys and 10/30 or 1/3 are girls.
3 Types of Common or Vulgar Fraction Proper Fraction Improper Fraction Mixed Number These are fractions that express amounts which are less than a unit. As such, the numerator is always less than the denominator. These are fractions that express amounts which are equal to or greater than a unit. Hence, the numerator is either equal to or greater than the denominator. These fractions can be reduced to whole numbers or to mixed numbers. These are the numbers that consist of a whole number and a fraction .
Let’s share ideas: How is finding part of a whole similar to finding part of a set? How is it different? What do you need to know to name a fraction? How do you name a fraction? Marie has five tools he uses in his carpentry shop. Two of the tools are hammers. What fraction of the tools are hammers? The senior high school club members spent Php820 for their party. This is 2/3 of the money they collected. How much money did they collect? What part of the total collection was left? How much is it?
Practice your skills: Ella sells rice to stores. She has a total of 125 cavans that she plans to distribute to three stores. If she gives 1/5 of what she has to store A, can she divide the remaining equally to stores B and C? How many will store A and store B get? Marc used nails, screws, and pegs to build a model house. He used twice as many screws as pegs and 3 fewer nails than screws. He used 15 nails. How many pegs did he use?
Generalizations: What is fraction? Common fractions are called what? What are the three types of common fractions?
Quiz #1 True or False ___ 1. A whole is always bigger than its parts. ___ 2. A fraction of something is always equal to a fraction of another something. ___ 3. 8/5 is greater than 7/6 ___ 4. 16/4 is equal to 20/5 ___ 5. 2/3 is equal to 4/8
Quiz #1 B. Identify the following as a proper fraction (PF), an improper fraction (IF), or a mixed number (MN) ___ 1. 4 3/4 ___ 6. 9/9 ___ 2. 12/5 ___ 7. 7/8 ___ 3. 6 1/3 ___ 8. 16/18 ___ 4. 5/12 ___ 9. 21/21 ___ 5. 8/7 ___ 10. 23/12 ___ 11. 13/15 ___ 12. 21/22
Quiz #1 C. Express the following fractions of the units indicated (2pts. e ach) ___ 1. 4 hours as part of a day. ___ 2. 3 quarts as part of a gallon ___ 3. 132 as part of a gross ___ 4. 3 months as part of a year
Quiz #1 D. Problem Solving (5pts) There are five classrooms next to each other on one side of the grade school building adjacent to the high school building. Grade V is to the left of Grade IV and to the right of Grade 1. Grade IV is between Grades II and III. Grade III is between Grades IV and V. List the rooms in order from left to right.