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Lesson Presentation

Lesson Presentation. Lesson Quizzes. Sunshine State Standards. MA.6.A.3.1 Write and evaluate mathematical expressions…given situations. Translating Between Tables and Expressions. Sunshine State Standards. Essential Question: How do you write an expression for tables and sequences?

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  1. Lesson Presentation Lesson Quizzes

  2. Sunshine State Standards • MA.6.A.3.1 Write and evaluate mathematical expressions…given situations. • Translating Between Tables and Expressions

  3. Sunshine State Standards Essential Question: How do you write an expression for tables and sequences? Learning Goal: You will be able to write expressions for tables and sequences. Remember: Patterns & Sequences – you’ve learned this before – now see it in tables.

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

  5. Check It Out 1A: Write an expression for the missing value in each table. 6 t

  6. Check It Out 1B : Write an expression for the missing value in each table. 4 x

  7. Check It Out 1C: Write an expression for the missing value in each table. n+2

  8. Additional Example 2: Writing an Expression for a Sequence Write an expression for the sequence in the table. Look for a relationship between the positions and the values of the terms in the sequence. Use guess and check. Guess 7nGuess 3n + 4 Check by substituting 2. 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.

  9. Check It Out : 2A Write an expression for the sequence in the table. 2n + 5

  10. Check It Out : 2B Write an expression for the sequence in the table. n + 5

  11. In each row of the table, the area is half the product of the base and the height. The expression is or 3h. 6h __ 2 Additional Example 3: Writing an Expression 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. 6 • 1 = 6, 6 ÷ 2 = 3 6 • 2 = 12, 12 ÷ 2 = 6 6 • 4 = 24, 24 ÷ 2 = 12 3h

  12. Check It Out : 3A A triangle has a base of 10 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. 5 h

  13. Check It Out : 3B Suppose the entries in the base column and the height column of the table are reversed. Would your expression for the area of the triangle change? Explain. No; possible explanation: the area is always one half the product of the base and height.

  14. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

  15. 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

  16. Lesson Quiz: Part II 2. Write an expression for the sequence in the t table. 8n

  17. Lesson Quiz: Part III 3. A rectangle has a width of 7 in. 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. 7l

  18. Lesson Quiz for Student Response Systems • Identify an expression for the missing value in the table. A.x + 24 B. 24x C. 23x + 1 D. 25x – 1

  19. Lesson Quiz for Student Response Systems 2. Identify an expression for the missing value in the table. A.n + 4 B. 2n + 2 C. 3n + 2 D. 4n2+ 1

  20. Lesson Quiz for Student Response Systems 3. Identify an expression for the missing value in the table. A. 6w + 9 B. 7w + 6 C. 8w + 3 D. 9w

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