Rational Numbers on a number line and Comparing Rational Numbers
Describe how you would plot the point -0.5 on a number line.
Describe how you would plot this point: (2, -5)
What is you begin at the origin (0,0), go right 2 units and then down 5 units to plot your point?
What is the area of a triangle with the vertices ( -5, 6), (-5, 0) and (6, 0)?
What is: 33 square units?
Jillian is in art class, she is making a symmetrical picture using a coordinate grid. She created a star at point (-3, 6) and would like to have the star reflected in each quadrant. What would the points of the other 3 stars be?
What is: (-3, -6) reflected over the x-axis, (3, 6) reflected over the y-axis, (3, -6) reflected over the x-axis, then the y-axis.?
Use an inequality sign to compare these two numbers: |-12| and |-5|
What is: |-12| > |-5| or |-5| < |-12|?
What are the coordinates of point (-6, 5) reflected over the y-axis?
What is: (6, 5)?
Sally walked from her house located at point (18, 30) to the store located at point (18, 6) then to the school located at point (-23, 6). How far did she walk?
What is: 65 blocks "units"?
30 - 6 = 24
|-23| + |18| = 41
24 + 41 = 65 blocks "Units".
Two integers whose absolute value is 12...
What is -12 and 12?
The first two points of the vertices of a square are:
(2, -1) and (-2, 3).
What are the other two points needed to complete this square?
What is: ( 2, 3) and ( -2, -1)?
Out of this list, name the number that is NOT an integer: 25, 0, -25, 0.25
What is 0.25? Since the other numbers are whole numbers they would represent integers. 0.25 is a decimal is it is more of a rational number.
What are the coordinates of the point (8,2) when it is reflected over the x-axis?
What is: (8, -2)
Drew put his game piece on START. On his first turn, he moves his game piece ahead 7 spaces. On his second turn, Drew moves his game piece back 4 spaces. How many spaces away from START is his game piece now?
What is 3 spaces from START?
Write an inequality statement for the following numbers: -2/5 and -0.75
What is -0.75 < -2/5 or -2/5 > -0.75?
Write an absolute value equation to find the distance between the points, (0, -18) and (0, 5).
What is: |-18| + |5| = 23?
Describe how to reflect a point over the y-axis, and give an example.
What is: To reflect a point over the y-axis, you would keep the y-coordinate the same, and you would take the opposite of the x-coordinate) ex. (5, 4) reflected over the y-axis would be (-5, 4).
A band member walked from the origin to his location at (3, 5) on the coordinate grid, how far from the origin did he walk if each unit is equal to 3 feet?
What is: The bandmember walked a total of 8 units which is 8 x 3ft = 24 feet?
How would you describe the location of -8 on a vertical and horizontal number line?
What is: The location of -8 on a number line is 8 units away from zero either below 0 if the number line is vertical, or to the left of zero if the number line is horizontal.
Write an absolute value equation to find the distance between points (-7, 8) and (13, 8)?
What is: |-7| + |13|= 20.
Explain this expression "-|-25|"
What is the opposite of the absolute value of -25? So your final value would be -25 :)
Describe how to reflect a point over the x-axis, and give an example.
What is: To reflect a point over the x-axis, your x coordinate would stay the same, and your y-coordinate would be the opposite. For example: (-6, 2) when reflected over the x-axis would be (-6, -2).
The coordinates of 4 band members are (6, 5), (-6, 5), (-6, -5) and (6, -5). What is the area of the rectangle that they have created if each unit is equal to 5 feet?
What is: 5(12 x 10)= 5 x 120 = 600 square feet?