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Friday 10-4-13 Directions: Please come in and get your journal. On your next blank page, write today’s date on the top line. Title this page ~ Unit 4 Test Review. Below the date, write the Challenge Question. Challenge Question: How can you determine if an answer is reasonable? Warm-up (independent, level 0 noise): Please complete this in your journal below the CQ 1. 2. What is the value of the expression: 3½-2÷2+¼ Zoe uses 6 4/5 yards of fabric to make eight blankets. On average, how much fabric does she use for each blanket? Tuesday 10-8-13 Directions: Please come in and get your journal. On your next blank page, write today’s date on the top line. Title this page ~ Coordinate Graphing. Below the date, write the Challenge Question. Challenge Question: Why do we need a universal, or common, way to describe location? Warm-up (independent, level 0 noise): Please complete this in your journal below the CQ 1. A bakery sold these numbers of cakes over the last 6 months. 12, 15, 15, 18, 9, 11 • Calculate the current mean of cakes sold over the last six months. • How many cakes do they need to sell next month for the median number sold per month to be 15? A. 10 B. 12 C. 11 D. 17 The Coordinate Plane 5 1, 5 4, 2 -5 5 2, 2 -5 7, 1 Imagine the top surface of your desk stretching in every direction. If it continued to spread , it would go right through your neighbor . . . . . . and then through the classroom walls . . . . . . and through the school and the hills and the mountains and out into space until it went on forever in every direction. Then you would have a plane. In mathematics, a plane is a flat surface that goes on forever in every direction. We call it the coordinate plane. The coordinate plane is divided by two number lines. One is horizontal, like the number line you already know. -10 -5 0 5 10 The other is vertical, with up being the positive direction and down being the negative direction. 5 -10 -5 0 -5 5 10 The origin is the point where the two number lines meet. -10 -5 The point of 5 origin is (0,0) 0 -5 5 10 5 The horizontal number line is called the x-axis -10 -5 . 0 5 The vertical -5 number line is called the y-axis. 10 To study a point, we need to know where to find it. So we give it coordinates. Coordinates are like an address. They tell you how you can get to a point if you start at the origin. Coordinates are always written in parentheses, with the x-value first. -10 -5 y 5 x, y x 0 5 10 Coordinates written in parentheses are -5 called an ordered pair. Consider the point which has coordinates, (4, -2). -10 -5 The first number tells you how far to move along the x-axis. 5 0 -5 So the 4 in (4, -2) says we need to move 4 units to the right. 5 10 Remember to start at the origin! The second number tells you how far to move up or down. -10 -5 5 0 The –2 in (4, -2) tells you to move down two units. 5 4, 2 -5 10 Labeling the 4 Quadrants. II , Quadrant 2 -10 , Quadrant 1 0 -5 III I 5 , Quadrant 3 -5 5 10 IV , Quadrant 4 Give the coordinates of each point: 5,1 3, 2 2, 3 2, 4 Plot each point and describe how to get to the point from the origin. 1. (8,–7) From the origin, move to the right 8 units, then down 7 units. 2. (4,0) From the origin, move to the right 4 units, then stop (Stay on the x-axis.). 3. (–4,–5) From the origin, move to the left 4 units, then down 5 units. 4. (0,–9) From the origin, don’t move to the right or left (stay on the y-axis), then move down 9 units. 5. (7,12) From the origin, move to the right 7 units, then up 12 units. Thinking Together & Just for Me • Complete your selected coordinate graphing character Ticket out the Door Use your own words to explain what each term means: Origin Quadrant Axis Coordinates Ordered pair