1. Warm-up 1. Name all the members of the real number system. 2. Name 3 different words that have the same meaning as the four operations of math. Answers: 1.Counting or natural numbers, whole numbers, integers, rational and irrational make up the real number system. 2.Add = more than, increased by, sum, total Subtract = minus, less than, decreased by, difference Multiply = product of, times, multiplied by Division = divide, quotient, into

2. Evaluate each algebraic expression. Ex. 1: 17-3x, for x = -12 Answer: 53 YOU TRY: Answer: 18 3x-6(4 - y), for x = -6 and y= 10

3. Write each phrase as an algebraic expression. Ex 2: Three less than four times a number Answer: 4x - 3 YOU TRY: The difference between the product of negative two and a number and negative three times the number Answer: x

4. Mathematical Modeling Use this formula to answer Ex 3. P = 0.72x 2 + 9.4x + 783

5. Ex 3: P = 0.72x 2 + 9.4x + 783 The formula models the gray wolf population, P, in the U.S., x years after 1960. Use the formula to find the population in 1990. P = 0.72(30) 2 + 9.4(30) + 783 P = 648 + 282 + 783 P = 1713 P = 0.72(900) + 9.4(30) + 783 Where did we get (30)?

6. Ex 3: How well does the formula model the actual data shown in the bar graph? Graph shows 1700 Formula shows 1713 Answer: Quite well

7. You try: The formula models the gray wolf population, P, in the U.S., x years after 1960. Use the formula to find the population in 2003. How well does the graph predict the population in 2003? Answer: Formula is 2518 Graph is 2500 Fits pretty well Summary/Reflection: On the rubric scale from 1 to 4, 4 meaning you understand and could teach this, how well did you remember the concepts of today’s lesson? Explain your choice.