Home School Lesson for a WV Content Standard (With Links)

 

WV CSO M.5.13

"Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers by using visual fraction models or equations to represent the problem."

Understanding Fractions as Division

Key Points:

• Fraction as Division: A fraction, like ¾, represents the division of the numerator (the top number, 3) by the denominator (the bottom number, 4). So, ¾ is the same as 3 ÷ 4.
• Visual Models: Visual fraction models, such as pie charts or rectangles, can help visualize the meaning of fractions and division.
• Word Problems: Fractions and division are often used in word problems to represent parts of a whole or sharing quantities.
• Equations: Setting up equations can help translate word problems into mathematical expressions and solve them.

Visual Fraction Models:

1. Pie Chart:

Opens in a new window brainly.com

pie chart divided into 4 equal slices, with 3 of them shaded

2. Rectangle Model:

Opens in a new window www.numerade.com

rectangle divided into 4 equal parts, with 3 of them shaded

3. Number Line Model:

Opens in a new window www.nagwa.com

number line from 0 to 1, divided into 4 equal segments, with the third segment marked

Solving Word Problems:

Example:

Problem: 4 friends share 5 pizzas equally. How much pizza does each friend get?

Solution:

1. Represent Fractionally: Each friend gets 5 pizzas ÷ 4 friends = 5/4 pizzas.
2. Visualize: Imagine 5 pizzas divided into 4 equal parts each.
3. Simplify: 5/4 can be written as the mixed number 1 1/4.
4. Answer: Each friend gets 1 1/4 pizzas.

Additional Tips:

• Use visual fraction models to reinforce understanding, especially for learners who benefit from visual aids.
• Encourage learners to create their own visual models to represent fractions and division.
• Provide practice with word problems involving fractions and division in various real-life contexts.
• Help learners connect fraction division to other mathematical concepts, such as ratios and proportions.