### Hour 3 Journal Entry #9 – Complete on IAN Page 110 – due Friday 6/9/2017

Michael is installing new baseboard in his living room. The living room is a square and he knows that it is 720 square feet. He needs to determine the length of each wall, so that he’ll know how long each piece of baseboard needs to be. Determine the *exact* length of the baseboard for each wall. Show your thinking. Will determining the *exact* length or an *approximate* length be most helpful in cutting the baseboard? Explain your reasoning.

### Hour 3 Journal Entry #8 – Complete on IAN Page 107 – due on Friday 6/2/2017

Consider the trinomial -2x² + 5x + 12.

a. Kevin claims that the binomial factors will both be positive. Is Kevin correct? Why or why not?

b. Angelica claims that she can rewrite the trinomial as 12 + 5x – 2x² to determine the signs of the binomial factors. Is she correct? If so, determine the signs of the binomial factors. If not, explain why not.

c. Verify your answer to part (b) by factoring the trinomial completely. Show your work.

### Hour 3 Journal Entry #7 – Complete on IAN Page 101 – due on Friday, 5/26/2017

**Which of the following functions represents a parabola that opens upward and has a vertex at (6, 4)? How is it possible to have more than one correct function within those parameters? **

**f(x) = 3x ^{2} + 36x **

**+ 104**

**g(x) = ¼x ^{2} + 3x **

**+**

**5**

**h(x) = -3x ^{2} – 36x **

**–**

**112**

**j(x) = x ^{2} + 12x **

**+ 32**

**k(x) = 2x**^{2} – 24x + 76

### Hour 3 Journal Entry #6 – Complete on IAN Page 73 – due on Friday, 3/31/2017

In order to factor out the greatest common factor of a polynomial, we use the Distributive Property in reverse. Explain why that statement is true and give at least one example.

### Hour 3 Journal Entry #5 – Complete on IAN Page 67 – due on Friday, 3/24/2017

### Hour 3 Journal Entry #4 – Complete on IAN Page 58 – due on Friday, 3/17/2017

### Hour 3 Journal Entry #3 – Complete on IAN Page 51 – due on Friday, 3/3/2017

A toy store worker packed two boxes of identical dolls and plush toys for shipping in boxes that weigh 1 oz. when empty. One box held 3 dolls and 4 plush toys. The worker marked the weight as 12 oz. The other box held 2 dolls and 3 plush toys. The worker marked the weight as 10 oz. Explain why the worker must have made a mistake.

### Hour 3 Journal Entry #2 – Complete on IAN Page 46 – Due on Friday, 2/24/2017

Antonio wants to subscribe to a service that will allow him to rent DVDs and stream movies online. Movie Madness offers a subscription for $12.25 a month. With this subscription, Antonio will receive one DVD at a time and can check out as many DVDs as he wants each month. However, he must pay $1.40 for each movie he streams online. The Show Must Go On! offers a subscription for $8.50 a month. With this subscription, Antonio will receive one DVD at a time and can check out as many DVDs as he wants each month. However, he must pay $3.25 for each movie he streams online.

Write a system of linear equations to represent this problem situation.

Without actually analyzing this system, make a prediction about which subscription plan will be the better deal. Explain your reasoning (in complete sentences).

Analyze the two subscription plans and determine which one is the better deal. Use both graphing and substitution to assist you.

Write a few sentences recommending to Antonio which subscription he should choose.

### Semester 2 Hour 3 Journal Entry #1 – complete on IAN Page #41 – Due on Friday, 2/10/2017

Two hikers are walking along a marked trail. The first hiker starts at a point 6 miles from the beginning of the trail and walks at a speed of 4 miles per hour. At the same time, the second hiker starts 1 mile from the beginning and walks at a speed of 3 miles per hour. What is a system of equations that models the situation? Graph the two equations and find the intersection point. Is the intersection point meaningful in this situation? Explain.