Rational Numbers Station Review
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1 Rational Numbers Station Review Directions: 1. Make one copy of each Rational Numbers Station Review pages (Stations #1 #12). 2. Make one copy of the Rational Numbers Station Review Answer Sheet per student. 3. Create 12 stations in the classroom by either placing a Station page with a question on a desk or adhering it to the wall. 4. Divide the class into groups of two to four students. Invite each group to work together to answer the problems at all 12 of the stations. They may work through the station in any order. 5. After sufficient time to work, gather students and discuss the questions and answers. Encourage students to correct their own errors as the class discusses each question. Variation: Rather than having each student work on their individual answer sheets, place a large sheet of butcher paper next to each Station. Invite each group to solve the adjacent problem on a section of the butcher paper. As a whole class, discuss the different approaches that the groups used to solve each question. Address errors as needed.
2 Station #1 On Monday, Amir owed his mother $23. He then borrowed $10 to buy a book and $2 to pay for a movie rental. On Saturday, Amir owed his mother $35. On which day was Amir s debt greater? Include a statement of inequality in your explanation.
3 Station #2 Locate and label the following numbers on the number line:
4 Station #3 1. Which of the following is not a real-world use for negative numbers. a. temperature b. elevation c. distance d. money 2. Jamison owes his friend $15 and has no other money. Write a number to represent how much money Jamison has. Justify your answer. 3. A popular tourist destination was marked with an elevation of 84 meters. Write this as a number describing an elevation above sea level and a number describing an elevation below sea level.
5 Station #4 Write the values. Justify each answer. a. The opposite of 7.26 b. 5,642 c. The opposite of the opposite of 91 d. 5 6 e. The opposite of -3,251 f
6 Station #5 1. Describe the values of 41 and +41 in a context of your choice. Describe the meaning of 0 in the same context. 2. Describe the values,, and 0 in a context different 8 than that used in Question
7 Station #6 1. List the signs of any ordered pair in: a. Quadrant I b. Quadrant II c. Quadrant III d. Quadrant IV 2. Which quadrant will these ordered pairs be in? a. (+, +) b. (, +) c. (, ) d. (+, ) 3. Which quadrants of the coordinate plane do the following point lie in: a. (4, 15) b. ( 5, 10) c. ( 45, 30) d. (33, 15)
8 Station #7 A shape has four corners, each of which lie on the coordinate plane. Determine the name of the shape. Explain your reasoning, include a description of the length of each side. Corner A (3, 3) Corner B (9, 3) Corner C (9, 9) Corner D (3, 9)
9 Station #8 On a check register or bank statement for a checking account, deposits are often shown as a positive value and payments made by check or debit card are often shown as a negative value. At the end of August, Liam added up the payments and found a total of $3,452. He then added up the deposits and discovered that he had earned $3,261. Did Liam spend or earn more money? Explain your reasoning. What do you think will happen if Liam continues to spend or earn money in the pattern he has during the month of August?
10 Station #9 At a fabric store, inventory is kept in a computer file that records the number of yards of fabric the store has in stock. When there are more orders than available fabric, the computer file records the number of yards of fabric as a negative number. These fabrics are considered to be out of stock. When more stock arrives at the store, those orders can be filled. Use the information in the table to answer the following questions. Explain each answer. 1. Which fabrics are in stock at the store? 2. Which fabrics are out of stock at the store? 3. Which fabric is there the most of in the store? 4. Which out of stock fabric has the largest number of yards ordered by customers? 5. Which two colors of fabric have an opposite number of yards available? Fabric Color Yards Available 2 Black 21 yards 3 Blue 17 yards 1 Green 11 yards 3 2 Yellow 8 yards 3 Orange 7 yards 1 Red 11 yards 3 2 White 9 yards 3
11 Station #10 Plot the following points on a coordinate plane. Label with the corresponding letter. A ( 10, 8) B (4, 9) C (1, 7) D ( 5, 10) E (8, 5)
12 Station #11 y 1. Describe the relationship between point A and point B. 2. Describe the relationship between point D and point C. 3. How are the coordinates of point E related to point F? F A D B C E x
13 Station #12 1. Sara Jane says that the absolute value of is - 5. Is she correct? If not, explain why Jenna has $27.25 in her bank account. How much money does she need to pay off her debt? 3. Brock golfed a game with a total score of 3 strokes from par. William had a total score of +1 strokes from par. In golf, the player with the lowest score wins. Who won? Who s stoke count was closer to par?
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