Study Guide
Owen's score in a card game is 6 points away from zero. If David's score is the opposite of Owen's and it is a positive value, what is David's score?
6
Why are whole numbers rational numbers? Use 21 as an example.
Whole numbers are rational numbers because they can be written as fractions. 21= 21/1
What is the absolute value of |-21.8|?
What are the steps to finding the distance between two coordinates?
1. Look at the numbers
2. Mark out the "matching" coordinates.
3. Circle the values that are different
4. Add (diff. quads) or Subtract (same quads.)
What are integers? Give an example
Integers are positive adn negative whole numbers, and zero.
Example: 0, 7, 13, 21, -5
Draw a polygon with vertices at A(4,-1), B(1,-1), C(1,3) and D(4,3). What is the perimeter of the polygon ABCD?
14 units
Plot point A on a number line. A is located at -3.
Look at the board for correct answer.
Which has the greater absolute value?
-6.84
5.95
|-6.84|= 6.84
|5.85|= 5.95
so, |-6.84| > |5.95|
Find the distance between the two points.
(-5, -3) and (-5, 2)
5 units
What are rational numbers?
Rational Numbers are any numbers that can be written in fraction form.
Example: 1/2, -0.25, 5
What is the ordered pair for the reflection of (-3.5,1) over the y-axis?
(3.5,1)
Plot point R on the number line. Point R is located at 2.25
Look at the board for the correct answer.
Order the values from least to greatest.
|4|, |-3|, |-18|, |3.18|
|-3|, |-3.18|, |4|, |-18|
Find the distance between the two points.
(-1.5, 2) and (-1.5, 3.5)
1.5 units
What is absolute value? What is true about absolute value?
Absolute Value is the distance from 0 on a number line and it is ALWAYS positive.
Write an ordered pair for the point in Quadrant IV that is 4 units away from point S(-1.5, -2.5) on the coordinate plane.
(3.5,-2.5)
Look at the board for the correct answer.
Order the values from greatest to least.
|-3.2|, |2.3|, |-6.33|, |4.75|, |0|
|-6.33|, |4.75|, |-3.2|, |2.3|, |0|
On a map, a space museum is located at (15, -2). A theater is located at (15, 18). If each unit on the map is a city block, how many city blocks is the space museum from the theater? Explain how you know.
20 city blocks
What is a coordinate plane? How many quadrants are on a coordinate plane?
A coordinate plane is a grid containing two numbers lines that intersect at 0. A coordinate plane has 4 quadrants.
The weather channel showed the daily low temperatures for several days in Kansas. Write the temperatures in order from least to greatest. On which day was the coldest?
Monday: 11
Tuesday: -3
Wednesday: 7
Thursday: -5
Friday: 4
-5, -3, 4, 7, 11
Thursday was the coldest.
The coordinate plane shows the location of Mrs. Shrum's house located on (-8.25, 1).
Draw a coordinate plane and label Mrs. Shrum's house.
Look on the board for the correct answer.
In California, there is a ship that is located at the depth of -180 feet. There's treasure that is believed to be at a depth of -184 feet. Which is farther below ground, the ship or the treasure? Explain your reasoning.
The treasure is further below ground. It has the greater absolute value.
On a map, James is standing at (200, 21) and Kyler is standing at (150, 21). If James walks 25 to the left and Kyler walks 25 to the left, will they be standing together? Explain.
No, because James would be standing at (175, 21) and Kyler would be standing at (125, 21). Kyler needs to walk 25 to the right to be with James at (175, 21)
What is an ordered pair? What is each number of an ordered pair called?
An Ordered Pair is a set of numbers that gives a location of a point on the coordinate plane.
Each number is called a coordinate.