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

2. 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,

3. 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?

4. Learn to write expressions for tables and sequences.

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

6. Check It Out: Example 1
Write an expression for the missing value in the table.
Ty’s Age
Rich’s Age
Rich’s age is Ty’s age times 7. 1 7
1  7 = 7 2 14
2  7 = 14 3 21
3  7 = 21 a
a  7
a  7
When Ty’s age is a, Rich’s age is _________.

7. Additional Example 2: Writing an Expression for a Sequence
Write an expression for the sequence in the table.
Position 1 2 3 4 n
Value 7 10 13 16
Look for a relationship between the positions and the values of the terms in the sequence. Use guess and check.
Guess 7n Guess 3n + 4
Check by substituting 2. Check by substituting 2.
7 • 2 does not equal • = 10.
The expression 3n + 4 works for the entire sequence.
3 • = 7, 3 • = 10, 3 • = 13, 3 • = 16
The expression for the sequence is 3n + 4.

8. Write an expression for the sequence in the table. Position 1 2 3 4 n
Check It Out: Example 2
Write an expression for the sequence in the table.
Position 1 2 3 4 n
Value 7 12 17 22
Look for a relationship between the positions and the values of the terms in the sequence. Use guess and check.
Guess 7n Guess 5n + 2
Check by substituting 2. Check by substituting 2.
7 • 2 does not equal • = 12.
The expression 5n + 2 works for the entire sequence.
5 • = 7, 5 • = 12, 5 • = 17, 5 • = 22
The expression for the sequence is

9. 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 (in2) 6 1 3 2 9 h
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 . 6h 2 __

10. 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 (in2) 4 3 6 8 5 10 h
4 • 3 = 12, 12 ÷ 2 = 6
4 • 4 = 16, 16 ÷ 2 = 8
4 • 5 = 20, 20 ÷ 2 = 10 2h
In each row of the table, the area is half the product of the
base and the height. The expression is or 2h. 4h 2 __

11. Lesson Quiz: Part I
1. Write an expression for the missing value in the table.
Scott’s Age
Ray’s Age 11 15 12 16 13 17 x
x + 4

12. Lesson Quiz: Part II
2. Write an expression for the sequence in the t table.
Position 1 2 3 n
Value 8 16 24

13. 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 (in2) 7 4 28 5 35 6 42 l