getting started 2.6. guiding questions how can solving easier problems help us find the product of a...

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Getting Started Getting Started 2.6 2.6

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Page 1: Getting Started 2.6. Guiding Questions How can solving easier problems help us find the product of a multiplication problem? How can solving easier problems

Getting StartedGetting Started

2.62.6

Page 2: Getting Started 2.6. Guiding Questions How can solving easier problems help us find the product of a multiplication problem? How can solving easier problems

Guiding QuestionsGuiding Questions

How can solving easier problems How can solving easier problems help us find the product of a help us find the product of a multiplication problem?multiplication problem?

How can estimating products help us How can estimating products help us judge the reasonableness of an judge the reasonableness of an answer?answer?

Page 3: Getting Started 2.6. Guiding Questions How can solving easier problems help us find the product of a multiplication problem? How can solving easier problems

Consider ThisConsider This

We have been solving many multiplication We have been solving many multiplication problems by using several strategies. problems by using several strategies.

Today, let’s focus on the FIRST steps that Today, let’s focus on the FIRST steps that lead to a different way to solve the lead to a different way to solve the

problem. Consider this:problem. Consider this:54 x 4854 x 48

Solve this, and then instead of sharing how Solve this, and then instead of sharing how you solved the problem, share only what you solved the problem, share only what

you did FIRST.. your first step.you did FIRST.. your first step.

Page 4: Getting Started 2.6. Guiding Questions How can solving easier problems help us find the product of a multiplication problem? How can solving easier problems

Solving 54 x 48Solving 54 x 48

First steps:First steps:

Page 5: Getting Started 2.6. Guiding Questions How can solving easier problems help us find the product of a multiplication problem? How can solving easier problems

Solving 54 x 48Solving 54 x 48

First steps:First steps:

Page 6: Getting Started 2.6. Guiding Questions How can solving easier problems help us find the product of a multiplication problem? How can solving easier problems

Solve the following independently:Solve the following independently:SHOW YOUR WORK!!SHOW YOUR WORK!!

30 x 2030 x 20 40 x 2040 x 20 39 x 1039 x 10Now choose one of the problems above as the first step to solving this Now choose one of the problems above as the first step to solving this

problem:problem: 39 x 26. 39 x 26.

33 x 100 30 x 50 10 x 5533 x 100 30 x 50 10 x 55Now choose on of the problems above as the first step to solving this Now choose on of the problems above as the first step to solving this

problem: problem: 33 x 5533 x 55

47 x 10 40 x 30 10 x 3647 x 10 40 x 30 10 x 36Now choose one of the problems above as the first step to solving this Now choose one of the problems above as the first step to solving this

problem: problem: 47 x 3647 x 36

6 x 15 100 x 15 106 x 106 x 15 100 x 15 106 x 10Now choose one of the problems above as the first step to solving this Now choose one of the problems above as the first step to solving this

problem:problem:106 x 15106 x 15

Page 7: Getting Started 2.6. Guiding Questions How can solving easier problems help us find the product of a multiplication problem? How can solving easier problems

DiscussionDiscussion

39 x 26 = 39 x 26 = First step: First step: Second step:Second step:

A. 30 x 20A. 30 x 20 A.A. B. 40 x 20B. 40 x 20 B.B. C. 39 x 10C. 39 x 10 C.C.

Finish solving the problem, using one of those first steps and continuing on with second step, and so on until you have solved it. As you finish, share with your partner and think about the following:

Can you read your partner’s work?

Can you follow each other’s strategy on paper?

Are any steps unclear? Can you make your solutions clearer?

Page 8: Getting Started 2.6. Guiding Questions How can solving easier problems help us find the product of a multiplication problem? How can solving easier problems

Independent Work. Turn in Independent Work. Turn in when finished.when finished.

536 – 247 =536 – 247 = 724 – 243 =724 – 243 = 551 + 463 =551 + 463 = 620 – 125 =620 – 125 = _________ + 840 = 1,600_________ + 840 = 1,600 ________ - _______ = 350________ - _______ = 350 ________ + _______ = 1,350________ + _______ = 1,350 800 - ____________ = 275800 - ____________ = 275 Estimate: 28 x 12 =Estimate: 28 x 12 = Estimate: 43 x 27 = Estimate: 43 x 27 =

Page 9: Getting Started 2.6. Guiding Questions How can solving easier problems help us find the product of a multiplication problem? How can solving easier problems

Guiding QuestionsGuiding Questions

How can solving easier problems How can solving easier problems help us find the product of a help us find the product of a multiplication problem?multiplication problem?

How can estimating products help us How can estimating products help us judge the reasonableness of an judge the reasonableness of an answer?answer?