1. Course 1 2-3 Translating Between Tables and Expressions Course 1 2-3 Translating Between Tables and Expressions Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

2. Course 1 2-3 Translating Between Tables and Expressions Warm Up Name the next three terms in each sequence. 1. 7, 10, 13, 16, 2. 105, 88, 71, 54, 3. 64, 128, 256, 512, 19, 22, 25 37, 20, 3 1,024, 2,048, 4,096

3. Course 1 2-3 Translating Between Tables and Expressions Problem of the Day Sam’s house is 3 blocks east and 5 blocks south of Tyra. If Tyra walks straight south and then straight east to Sam’s house, does she walk more blocks east or more blocks south? How many more? south 2 blocks

4. Course 1 2-3 Translating Between Tables and Expressions Learn to write expressions for tables and sequences.

5. Course 1 2-3 Translating Between Tables and Expressions Write an expression for the missing value in the table. Additional Example 1: Writing an Expression 2 + 4 = 6 Spike’s Age 2 3 4 6 7 8 4 + 4 = 8 3 + 4 = 7 Rusty’s Age a a + 4 Rusty’s age is Spike’s age plus 4. a + 4 When Spike’s age is a, Rusty’s age is a + 4.

6. Course 1 2-3 Translating Between Tables and Expressions Write an expression for the missing value in the table. Check It Out: Example 1 1  7 = 7 Ty’s Age 1 2 3 7 14 21 3  7 = 21 2  7 = 14 Rich’s Age a a  7 Rich’s age is Ty’s age times 7. a  7 When Ty’s age is a, Rich’s age is a  7 or 7a.

7. Course 1 2-3 Translating Between Tables and Expressions Write an expression for the sequence in the table. Additional Example 2: Writing an Expression for a Sequence Look for a relationship between the positions and the values of the terms in the sequence. Use guess and check. Position1234n Value7101316 Guess 7nGuess 3n + 4 Check by substituting 2. 7 2 does not equal 10.3 2 + 4 = 10. The expression 3n + 4 works for the entire sequence. 3 1 + 4 = 7, 3 2 + 4 = 10, 3 3 + 4 = 13, 3 4 + 4 = 16 The expression for the sequence is 3n + 4.

8. Course 1 2-3 Translating Between Tables and Expressions Write an expression for the sequence in the table. Check It Out: Example 2 Look for a relationship between the positions and the values of the terms in the sequence. Use guess and check. Position1234n Value7121722 Guess 7nGuess 5n + 2 Check by substituting 2. 7 2 does not equal 12.5 2 + 2 = 12. The expression 5n + 2 works for the entire sequence. 5 1 + 2 = 7, 5 2 + 2 = 12, 5 3 + 2 = 17, 5 4 + 2 = 22 The expression for the sequence is 5n + 2.

9. Course 1 2-3 Translating Between Tables and Expressions Additional Example 3: Writing Expressions for the Area of a Figure A triangle has a base of 6 inches. The table shows the area of the triangle for different heights. Write an expression that can be used to find the area of the triangle when its height is h inches. Base (in.)Height (in.)Area (in 2 ) 613 626 639 6h 6 1 = 6, 6 ÷ 2 = 3 6 2 = 12, 12 ÷ 2 = 6 6 3 = 18, 18 ÷ 2 = 9 In each row of the table, the area is half the product of the base and the height. The expression is or 3h. 6h6h 2 __ 3h3h

10. Course 1 2-3 Translating Between Tables and Expressions Check It Out: Example 3 A triangle has a base of 4 inches. The table shows the area of the triangle for different heights. Write an expression that can be used to find the area of the triangle when its height is h inches. Base (in.)Height (in.)Area (in 2 ) 436 448 4510 4h 4 3 = 12, 12 ÷ 2 = 6 4 4 = 16, 16 ÷ 2 = 8 4 5 = 20, 20 ÷ 2 = 10 In each row of the table, the area is half the product of the base and the height. The expression is or 2h. 4h4h 2 __ 2h2h

11. Course 1 2-3 Translating Between Tables and Expressions 1. Write an expression for the missing value in the table. Lesson Quiz: Part I Scott’s Age 11 12 13 15 16 17 Ray’s Age x x + 4

12. Course 1 2-3 Translating Between Tables and Expressions 2. Write an expression for the sequence in the t table. Lesson Quiz: Part II Position123n Value81624 8n8n

13. Course 1 2-3 Translating Between Tables and Expressions Lesson Quiz: Part III 3. A rectangle has a width of 7 inches. The table shows the area of the rectangle for different lengths. Write an expression that can be used to find the area of the rectangle when its length is l inches. Width (in.)Length (in.)Area (in 2 ) 7428 7535 7642 7 l 7l7l