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SCO B4: Students will be expected to divide 2, 3 – and 4 – numbers by single-digit divisors and investigate division by 2 – digit divisors. Student Activities: An Introduction. Give a situation when you use division. This is your VISION OF DIVISION.
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SCO B4: Students will be expected to divide 2, 3 – and 4 – numbers by single-digit divisors and investigate division by 2 – digit divisors.
Student Activities: An Introduction • Give a situation when you use division. • This is your VISION OF DIVISION. • Did you know that there are 6 visions of division? • Examine the problems on each of the pages to follow and figure out what vision of division is being used.
The Visions of Division • Examine the story problems presented by the teacher to try to discover the Visions of Division.
The Visions of Division • Area • Average • How many groups • Rate • Sharing • Combination Identify the Vision of Division for the Word Problems presented by the teacher
WORD PROBLEM • The area of a plot of land is 453 square metres. If the plot is 3 metres long, ABOUT how wide is the plot? • Now calculate the exact width of the plot. Use Base-10 materials to find the answer. • What VISION OF DIVISION is used in this problem?
WORD PROBLEM:The Key Questions • HOW MANY ARE IN EACH GROUP? • HOW MANY ARE USED UP? • HOW MANY ARE LEFT?
WORD PROBLEM • There are 356 bags of healthy snacks placed into four large cartons. ABOUT how many bags would be in each box? • How many bags would be in each box? Use Base-10 materials to find the answer. • What VISION OF DIVISION is used in this problem?
WORD PROBLEM • There are 568 tulip bulbs. They are packaged in sets of 5. ABOUT how many packages could be made from the bulbs you have? • How many packages could be made? Use Base-10 materials to find the answer. • What VISION OF DIVISION is used in this problem?
Practise Some More! • 465 shared into 3 groups • 4 539 divided by 4 • The quotient of 624 and 7 • Find the other factor: 349 ÷ 5 • 4 281 items with 4 in each group. How many groups?
WORD PROBLEM • 869 items are placed in 20 boxes. How many items would be placed in each box? Use an estimation strategy to get your answer? • How can what you just did help if there are 21 boxes instead of 20 boxes? • Find an estimate of 2713 ÷ 31.
Practise Some More! • 459 shared into 10 groups • 786 divided by 20 • The estimated quotient of 624 and 22 • An estimated quotient for 9 118 ÷ 16 • 653 items with 30 in each group. How many groups?
Student Activities • B4.1 • Use Base-10 blocks to model how to divide 489 by 7. • Practise: Use Base-10 blocks to model how to divide 869 by 4. • Roll a die three times in order to build a 3-digit number. Now roll a fourth time to get the divisor. Find the quotient.
Student Activities • B4.2 • Fill in the boxes in the template below so that: • No digit is used more than once • There is no remainder • The resulting division sentence is correct
Student Activities • B4.3 • Fill in the blanks in the template below to make the division sentence true. 6 4 3
Student Activities • B4.4 • What division problem is being modeled in the picture shown to you by the teacher? • Create a word problem that would be solved by this model. • Practise with more models.
Student Activities • B4.5 • 612 students in a school are being bussed to a museum. The law states that a maximum of 45 students is allowed on each bus. Estimate how many buses will be needed. • Now calculate how many buses will be needed.
Student Activities • B4.6 • Look at the sample word problems below. Talk about the remainder? Can it be ignored? Is part of the answer? Or is rounded up? • A person has 78 cents. Pens cost 19 cents each. How many pens can the person buy? • 126 people need to be transported. Twelve passengers can travel in each van. How many vans are needed? • 75 metres of ribbon are to be shared among 10 students to make crafts. How much ribbon will each student get? • What Vision of Division is used in each question?
Student Activities • B4.6 Continued • Create word problems involving division by a 2-digit number for each of the following situations: • The remainder is ignored • The remainder is rounded up • The remainder is part of the answer
“Wow, I just learned the most exciting things about the division. I can hardly wait to call all of my friends!”