Slide 1
Graphing Inequalities Part 2
The soccer field could be exactly 120 meters long, or less.
Let l represent the length of the field. Which of the following inequalities represents this limitation on the length of a soccer field?
Image Description: The outline of a soccer field.
Description of quiz area: Five answer choices are listed:
l is greater than or equal to 120
l is less than 120
l is less than or equal to 120
l is greater than 120
l is not equal to 120
The correct answer is: l is less than or equal to 120
Slide 2
Graph the solution set, l is less than or equal to 120 . Drag the appropriate arrow over the number line to shade all possible lengths of the soccer field.
Description of work area:
A number line is shown. The number line extends from 95 to 130, counting in increments of five.
Four different arrows are shown which can be dragged onto the number line for the purpose of graphing the possible lengths of the soccer field.
The first arrow has an open-ended point on the left and extends to the right.
The second arrow has a closed point on the left and extends to the right.
The third arrow has an open-ended point on the right and extends to the left.
The fourth arrow has a closed point on the right and extends to the left.
The correct answer is the number line extending from 95 to 130, counting in increments of five, using the fourth arrow, which has a closed point on the right and extends to the left.
Slide 3
The width of a standard soccer field should be a minimum of 45 meters and a maximum of 90 meters.
Which pair of inequalities correctly expresses this?
Description of quiz area:
There are four possible answer choices.
Image Description: The outline of a soccer field
The correct answer is B, w is greater than or equal to 45 and w is less than or equal to 90
Slide 4
Refer to the playing field diagram to answer the questions.
Description of field diagram: The outline of a soccer field is shown with the goal area having a length of 20 yards and a width of 6 yards.
(text on slide) When a goalkeeper saves a ball from going into the net, she must remain within the goal area to kick the ball back into play.
Use inequalities to describe the amount of movement the goalkeeper has to move lengthwise and widthwise. (Ignore diagonal movement at this point.)
Description of quiz area:
Let w represent the width. A blank is provided to enter in the inequality to represent the number of yards for the width. Let l represent the length. A blank is provided to enter in the inequality to represent the number of yards for the length.
The correct answers are w is less than twenty yards and l is less than six yards.
Slide 5
Which pair of graphs represents the solutions to the inequalities?
Description of quiz area:
On the right two inequalities are listed: w is less than 20 and l is less than 6.
Three answer choices are provided. Each answer choice contains two graphs of inequalities.
A number line extending from 0 to 10, counting in increments of one. An arrow is graphed with an open-end on six and extends to the left.
A number line extending from 0 to 10, counting in increments of one. An arrow is graphed with a closed-end on six and extends to the left.
A number line extending from 0 to 10, counting in increments of one. An arrow is graphed with an open-end on six and extends to the left.
The correct answer is A. A number line extending from 0 to 22, counting in increments of one. An arrow is graphed with an open-end on twenty and extends to the left. A number line extending from 0 to 10, counting in increments of one. An arrow is graphed with an open-end on six and extends to the left.
Slide 6
Did you notice the little white dot in the penalty area of the playing field? If not, it is marked in the image and called the penalty shot.
This is the location on the soccer field where the ball is placed for penalty shots. The player who is taking the kick can stand anywhere they want to begin their run up to take the kick.
Image Description: A soccer field is shown with the penalty area and penalty shot marked.
Slide 7
A player chooses to stand at the tip of the penalty arc to take her penalty shot. Which inequality and corresponding graph describe the horizontal distance the player moves to kick the soccer ball?
Description of work area:
On the right a soccer field is shown with the penalty area and penalty shot marked.
Three answer choices are provided.
Answer choice A states h is less than or equal to ten. The number line extends from zero to fifteen counting in increments of five. The arrow has a closed end at ten and extends to the left.
Answer choice B states h is greater than ten. The number line extends from zero to fifteen counting in increments of five. The arrow has an open end at ten and extends to the right.
Answer choice C states h is less than ten. The number line extends from zero to fifteen counting in increments of five. The arrow has an open end at ten and extends to the left.
The correct answer is C.
Slide 8
Which inequality and corresponding graph describe the horizontal distance the ball will travel towards the goal line?
Description of work area:
On the right a soccer field is shown with the penalty area and penalty shot marked.
Three answer choices are provided.
Answer choice A states b is less than or equal to twelve. The number line extends from zero to fifteen counting in increments of five. The arrow has a closed end at twelve and extends to the left.
Answer choice B states b is less than twelve. The number line extends from zero to fifteen counting in increments of five. The arrow has an open end at twelve and extends to the left.
Answer choice C states b is greater than twelve. The number line extends from zero to fifteen counting in increments of five. The arrow has an open end at twelve and extends to the right.
The correct answer is B.
Slide 9
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