Module 6 Lesson 7. Objective Represent arrays and distinguish rows and columns using math drawings.

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Presentation transcript:

Module 6 Lesson 7

Objective Represent arrays and distinguish rows and columns using math drawings.

Coin Drop Name my coin. How much is it worth? Listen carefully as I drop coins in my can. Count along in your minds. Now how much is in the container? Let’s try another. Count again. Now how much is in the container? Name my coin. How much is it worth? Listen carefully as I drop coins in my can. Count along in your minds. Now how much is in the container?

Sprint: Sums to the Teens Sprint A: On you mark, get set, THINK! Sprint B: On you mark, get set, THINK!

Concept Development The other day we composed arrays with objects. Let’s review together. With your partner and your lima beans, show me 3 groups of 5 on each of your personal boards. Let’s say that for right now, a group is a column. Remind your partner, should the column be vertical or horizontal? Count with your partner to make each column. Now add a line between each column. These lines between each column will help us to keep our array organized. And it helps us to see each column as a group, or unit of 5. How many columns did you make? How many beans in each column? What number sentence can we use to find the total?

Concept Development Now, Partner A, change your array to show 5 rows of three. Don’t forget to add lines between the rows. Turn and talk with your partner: How do the arrays look similar and how are they different? Partner A, erase your lines between the rows of beans. Now, draw lines to show the columns. Partner B, erase your lines between the columns and redraw them to show the rows. Now, if we want to show 3 rows of 5, what do we do first? Should we make a row first or organize the beans into equal groups of 3? Remind me, should the row be vertical or horizontal?

Concept Development With your partner, create an array using the same beans. Make 3 rows of 5. Then draw lines between your rows to keep them organized. How many rows did you make? How many beans in each row? So each row is also a group, or unit, of…? Say the number sentence? What was the total for 3 columns of 5 beans? Yes! And what is the total for 3 rows of 5 beans? So, how are 3 columns of 5 and 3 rows of 5 related?

Concept Development This time, let’s draw our arrays. If we want to make an array of 4 columns of 2, what should we do first? Yes, follow me! How can we finish the array from here? Turn and talk. Let’s do that together. What I draw, you draw. What do the vertical lines remind us? Turn and talk. What number sentence can we use to find the total?

Concept Development Now, let’s switch it like we did before. Show me 4 rows of 2 X’s. Then write a number sentence to find the total. What was the total for 4 columns of 2 X’s? And what is the total for 4 rows of 2 X’s? This time, you will draw your array without my help! Draw an array with 3 columns of 4 X’s. Don’t forget your vertical lines in between each column! Write a number sentence below your array to find the total.

Concept Development How many columns did you draw? How many X’s are in each column? So each column is a group, or unit of…? What number sentence can we use to find the total? What would happen if you added one more column of 4? Turn and talk. Add another column of 4 to your array and show me your new number sentence. Let’s read our number sentences together, including the total. Turn and talk, what would happen now if you erased two columns of 4? Go ahead and try that. Don’t forget about your number sentence! What happened? Let’s read our new number sentences together, including the total.