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Unit 3 Test Review Chapter 5 Lessons 1-7
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5-1 Should know the definition of integer and how to graph integers correctly on a number line When writing integers, DO NOT include a label Should be able to explain the meaning of zero in different situations
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You are playing a board game where you can move forward and backward and are currently on the 5th space. You pick a card and have to move 3 spaces back. What space are you on now? What represents zero in this situation? Explain.
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Jackson owes his sister Monica $15.
Write an integer to represent the situation. Explain the meaning of zero in this situation.
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5-2 Absolute Value = the distance between a number and 0 on the number line IT IS ALWAYS POSITIVE! What symbol shows that you need to find the absolute value of a number?
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The Dead Sea lies approximately 1300 feet below sea level
The Dead Sea lies approximately 1300 feet below sea level. If Jim hiked 1545 feet above the Dead Sea, write an integer that represents the hiker’s position.
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A scuba diver is 23 feet below sea level
A scuba diver is 23 feet below sea level. A second scuba diver is 12 feet below the first diver. What integer represents the second scuba divers position relative to sea level?
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5-3 To compare integers, use their number line positions!
Review number line relationships
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Compare each set of integers using an inequality sign
− − − −9 − − −5
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The table shows the average normal January temperature of four cities in Alaska.
Write an inequality to compare the temperatures of Barrow and Fairbanks and explain the meaning of the inequality. Write the temperatures of the four cities in order from highest to lowest temperature. City Temperature (˚F) Anchorage 15 Barrow –13 Fairbanks –10 Juneau 24
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Number Lines Inquiry Lab
You can use a number line to model and compare positive and negative rational numbers Horizontal number line = larger numbers to the right Vertical number line = larger numbers on the top Make sure intervals of numbering are the same!
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5-4 What is a rational number? What is a terminating decimal?
What is a repeating decimal?
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Write – as a decimal. Write – as a decimal.
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5-5 How do you compare two or more decimals?
How do you compare two or more fractions? How do you compare rational numbers in different forms?
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Order the numbers from least to greatest
-0.32, , , 2 7
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The change in the value of Stock A last week can be represented by – The change in the value of Stock B was –2.15. Which stock lost more value? Explain.
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5-6 Should know the four quadrants How do you plot a
point on the coordinate plane? (x-coord., y-coord.)
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Make sure your ordered pairs have a comma in between and parentheses around!
How do you reflect a point across the x-axis? How do you reflect a point across the y-axis?
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Write the ordered pair that names each point
Write the ordered pair that names each point. Then identify the quadrant where each point is located. C L D A G I
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Use the diagram below. a. Name the ordered pairs for each point. b. Identify which point is a reflection of (3, –3) over the x-axis. c. Identify which point is a reflection of (–3, –3) over the y-axis.
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Does the order of the numbers in an ordered pair matter when naming a point? Why or why not?
Can that point be represented by more than one ordered pair?
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5-7 a. Plot the following points on a coordinate plane and connect them with line segments: A(–2, –4), B(0, 3), C(5, –2). b. Name the figure drawn in part a. c. Will any three points always create a triangle? Justify your answer.
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Parallelogram has vertices A(2, 3), B(4, 1), C(4, –4), and D(2, –2)
Parallelogram has vertices A(2, 3), B(4, 1), C(4, –4), and D(2, –2). Graph the reflection of the figure over the y-axis. List the ordered pairs for the vertices of
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More problems: Pg. 406 #1 Pg. 409 #33-37
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Inquiry Lab How can we find the distance between two points on the coordinate plane when they lie on a straight line?
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