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Lecture 11 - Variables and coordinates. After studying this chapter you will be able to understand: To understand the cartesian coordinate system, to plot ordered pairs (points) on the cartesian coordinate system. | Today’s Objectives Knowledge Test 2+2 = 2+2+2 = 2+2+2+2 = 4 6 8 How many paper clips are here? I could count them, but there is an easier way! Now, how many paper clips are here? I can count them by groups. 4 paper clips in each column 3 columns. That is 3 sets of 4. I can add 4 + 4 + 4 or I could say 3 x 4. Now how many are there? How many are here? What is the number sentence? You could have said 3 + 3 or 2 + 2 + 2. Using multiplication You might have said 2 x 3 or 3 x 2. The answer will be the same for all! Try this one. What is the number sentence using multiplication? If you said 3 x 4 or 4 x 3 you are correct. What is the answer? Now try this one. What is the multiplication fact? Great! 2 x 4 or 4 x 2. What is the product? (that means answer when you are multiplying! I have 12 counters. How could I arrange them into equal rows? What number sentences could you write to go with this array? 2 x 6 = 12 6 x 2 = 12 6 + 6 = 12 2 + 2 + 2 + 2 + 2 + 2 = 12 Can you think of any other ways to arrange the counters? What number sentences could you write to go with this array? 4 x 3 = 12 3 x 4 = 12 4 + 4 + 4 = 12 3 + 3 + 3 + 3 = 12 Could you arrange 20 counters? What number sentences could you write to go with this array? 10 x 2 = 20 2 x 10 = 20 10 + 10 = 20 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 20 OR 4 x 5 = 20 5 x 4 = 20 4 + 4 + 4 + 4 + 4 = 20 5 + 5 + 5 + 5 = 20 Now try doing this on your own. 6 counters 14 counters 15 counters 9 counters 8 counters 18 counters 6 Counters 2 x 3 = 6 3 x 2 = 6 3 + 3 = 6 2 + 2 + 2 = 6 2 x 7 = 14 7 x 2 = 14 7 + 7 = 14 2 + 2 + 2 + 2 + 2 + 2 + 2 = 14 14 counters 3 x 5 = 15 5 x 3 = 15 3 + 3 + 3 + 3 + 3 = 15 5 + 5 + 5 = 15 15 counters 3 x 3 = 9 3 x 3 = 9 3 + 3 + 3 = 9 9 Counters 3 + 3 + 3 = 9 2 x 4 = 8 4 x 2 = 8 4 + 4 = 8 2 + 2 + 2 + 2 = 8 8 Counters 2 x 9 = 18 9 x 2 = 18 9 + 9 = 18 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 18 18 Counters Multiplication in Columns 4 3 1 2 3 4 5 6 7 8 9 10 11 12 12 4 X 3 = Multiplication in Columns 3 4 1 2 3 5 6 | Today’s Objectives Knowledge Test 2+2 = 2+2+2 = 2+2+2+2 = 4 6 8 How many paper clips are here? I could count them, but there is an easier way! Now, how many paper clips are here? I can count them by groups. 4 paper clips in each column 3 columns. That is 3 sets of 4. I can add 4 + 4 + 4 or I could say 3 x 4. Now how many are there? How many are here? What is the number sentence? You could have said 3 + 3 or 2 + 2 + 2. Using multiplication You might have said 2 x 3 or 3 x 2. The answer will be the same for all! Try this one. What is the number sentence using multiplication? If you said 3 x 4 or 4 x 3 you are correct. What is the answer? Now try this one. What is the multiplication fact? Great! 2 x 4 or 4 x 2. What is the product? (that means answer when you are multiplying! I have 12 counters. How could I arrange them into equal rows? What number sentences could you write to go with this array? 2 x 6 = 12 6 x 2 = 12 6 + 6 = 12 2 + 2 + 2 + 2 + 2 + 2 = 12 Can you think of any other .
