Division facts to 12: word problems

key notes :

  1. Understanding Division:
    • Division Basics: Division is breaking a number into equal parts.
    • Division Terminology:
      • Dividend: The number to be divided.
      • Divisor: The number by which the dividend is divided.
      • Quotient: The result of the division.
  2. Division Facts to 12:
    • Focus on division facts for numbers 1 through 12 (e.g., 12 ÷ 3 = 4).

Word Problem Types

  1. Equal Groups:
    • Example: “There are 36 apples, and you need to put them into baskets with 6 apples each. How many baskets do you need?”
    • Solution: 36 ÷ 6 = 6 baskets.
  2. Sharing:
    • Example: “If 48 students are divided equally into 8 teams, how many students are in each team?”
    • Solution: 48 ÷ 8 = 6 students per team.
  3. Measurement Division:
    • Example: “A ribbon is 72 inches long and needs to be cut into pieces that are 9 inches each. How many pieces can be cut?”
    • Solution: 72 ÷ 9 = 8 pieces.
  4. Array Problems:
    • Example: “A rectangular garden is 4 feet wide and 12 feet long. If each row has 4 plants, how many rows of plants are there in total?”
    • Solution: 12 ÷ 4 = 3 rows.

Steps to Solve Word Problems

  1. Read the Problem Carefully:
    • Identify what is being asked and the information given.
  2. Identify Division Operation:
    • Determine if the problem involves dividing a total into equal parts.
  3. Set Up the Division Equation:
    • Write the equation based on the problem.
  4. Solve the Equation:
    • Perform the division to find the quotient.
  5. Interpret the Answer:
    • Check if the answer makes sense in the context of the problem.

Tips for Solving Division Word Problems

  • Draw a Diagram: Visual aids can help understand the problem.
  • Use Estimation: Estimating the result before solving can provide a check for the final answer.
  • Check the Answer: Verify if the quotient, when multiplied by the divisor, equals the dividend.

Hassan picked 40 apples from his orchard. If it takes 10 apples to make an apple tart, how many apple tarts can Hassan make?

​_____ apple tarts

Divide the total number of apples by the number of apples for each tart.

40 ÷ 10 = 4

Hassan can make 4 tarts.

Zach rode his bike for a total of 72 kilometres in the past 12 days. He rode the same distance every day. How many kilometres did Zach bike each day?

____​ kilometres

Divide the number of kilometres by the number of days.

72 ÷ 12 = 6

Zach biked 6 kilometres each day.

A chef needed to put 63 plates away in the kitchen. He put the plates in stacks of 9. How many stacks did the chef make?

​____ stacks

Divide the number of plates by the number in each stack.

63 ÷ 9 = 7

The chef made 7 stacks.

Let’s practice!