Explore · MATH-5B-C12-L04-OPEN
Plot (3, 5) in the first quadrant and state its x-coordinate.
Great Inheritance Mathematics Term B · Original independent course
Coordinate Graphs
Watch for: Swapping (x,y) or drawing without an origin.. Explain what the quantities mean before calculating.
Opening task
Prerequisite check
Before instruction · MATH-5B-C12-L04-PREREQ
Which coordinate is horizontal in (3, 5)?
Show worked answer (after attempting)
Answer: 3
The first coordinate is x, the horizontal axis.
Understand the idea
Plot and interpret first-quadrant ordered pairs using labeled x- and y-axes and equal grid spacing. The essential earlier idea is: Earlier coordinate-grid reading and ordered number-pair concepts, checked before instruction.. The model below will always use the actual quantities from the worked problem. Check swapping (x,y) or drawing without an origin when you explain your answer.
Three worked examples
Worked example 1 · MATH-5B-C12-L04-Q01
Plot (2, 4) in the first quadrant and state its x-coordinate.
Solution: (2, 4); x = 2
From the origin travel 2 on the labeled horizontal x-axis, then 4 upward on the y-axis. Always write (x, y).
Worked example 2 · MATH-5B-C12-L04-Q02
A map point is 5 units east and 3 units north. Give its ordered pair.
Solution: (5, 3)
From the origin travel 5 on the labeled horizontal x-axis, then 3 upward on the y-axis. Always write (x, y).
Worked example 3 · MATH-5B-C12-L04-Q03
Explain which coordinate is horizontal in (3, 6), then plot it.
Solution: (3, 6); x = 3
From the origin travel 3 on the labeled horizontal x-axis, then 6 upward on the y-axis. Always write (x, y).
Check understanding
1 · MATH-5B-C12-L04-Q04
Plot (3, 5) in the first quadrant and state its x-coordinate.
Show worked answer (after attempting)
Answer: (3, 5); x = 3
From the origin travel 3 on the labeled horizontal x-axis, then 5 upward on the y-axis. Always write (x, y).
2 · MATH-5B-C12-L04-Q05
A map point is 6 units east and 4 units north. Give its ordered pair.
Show worked answer (after attempting)
Answer: (6, 4)
From the origin travel 6 on the labeled horizontal x-axis, then 4 upward on the y-axis. Always write (x, y).
3 · MATH-5B-C12-L04-Q06
Explain which coordinate is horizontal in (4, 7), then plot it.
Show worked answer (after attempting)
Answer: (4, 7); x = 4
From the origin travel 4 on the labeled horizontal x-axis, then 7 upward on the y-axis. Always write (x, y).
Guided practice
1 · MATH-5B-C12-L04-Q07
Plot (4, 6) in the first quadrant and state its x-coordinate.
Show worked answer (after attempting)
Answer: (4, 6); x = 4
From the origin travel 4 on the labeled horizontal x-axis, then 6 upward on the y-axis. Always write (x, y).
2 · MATH-5B-C12-L04-Q08
A map point is 7 units east and 5 units north. Give its ordered pair.
Show worked answer (after attempting)
Answer: (7, 5)
From the origin travel 7 on the labeled horizontal x-axis, then 5 upward on the y-axis. Always write (x, y).
3 · MATH-5B-C12-L04-Q09
Explain which coordinate is horizontal in (5, 8), then plot it.
Show worked answer (after attempting)
Answer: (5, 8); x = 5
From the origin travel 5 on the labeled horizontal x-axis, then 8 upward on the y-axis. Always write (x, y).
4 · MATH-5B-C12-L04-Q10
Plot (5, 7) in the first quadrant and state its x-coordinate.
Show worked answer (after attempting)
Answer: (5, 7); x = 5
From the origin travel 5 on the labeled horizontal x-axis, then 7 upward on the y-axis. Always write (x, y).
Independent practice
1 · MATH-5B-C12-L04-Q11
A map point is 8 units east and 6 units north. Give its ordered pair.
Show worked answer (after attempting)
Answer: (8, 6)
From the origin travel 8 on the labeled horizontal x-axis, then 6 upward on the y-axis. Always write (x, y).
2 · MATH-5B-C12-L04-Q12
Explain which coordinate is horizontal in (6, 9), then plot it.
Show worked answer (after attempting)
Answer: (6, 9); x = 6
From the origin travel 6 on the labeled horizontal x-axis, then 9 upward on the y-axis. Always write (x, y).
3 · MATH-5B-C12-L04-Q13
Plot (6, 8) in the first quadrant and state its x-coordinate.
Show worked answer (after attempting)
Answer: (6, 8); x = 6
From the origin travel 6 on the labeled horizontal x-axis, then 8 upward on the y-axis. Always write (x, y).
4 · MATH-5B-C12-L04-Q14
A map point is 9 units east and 7 units north. Give its ordered pair.
Show worked answer (after attempting)
Answer: (9, 7)
From the origin travel 9 on the labeled horizontal x-axis, then 7 upward on the y-axis. Always write (x, y).
5 · MATH-5B-C12-L04-Q15
Explain which coordinate is horizontal in (7, 10), then plot it.
Show worked answer (after attempting)
Answer: (7, 10); x = 7
From the origin travel 7 on the labeled horizontal x-axis, then 10 upward on the y-axis. Always write (x, y).
6 · MATH-5B-C12-L04-Q16
Plot (7, 9) in the first quadrant and state its x-coordinate.
Show worked answer (after attempting)
Answer: (7, 9); x = 7
From the origin travel 7 on the labeled horizontal x-axis, then 9 upward on the y-axis. Always write (x, y).
7 · MATH-5B-C12-L04-Q17
A map point is 10 units east and 8 units north. Give its ordered pair.
Show worked answer (after attempting)
Answer: (10, 8)
From the origin travel 10 on the labeled horizontal x-axis, then 8 upward on the y-axis. Always write (x, y).
8 · MATH-5B-C12-L04-Q18
Explain which coordinate is horizontal in (8, 11), then plot it.
Show worked answer (after attempting)
Answer: (8, 11); x = 8
From the origin travel 8 on the labeled horizontal x-axis, then 11 upward on the y-axis. Always write (x, y).
Challenge and error analysis
1 · MATH-5B-C12-L04-ERR1
The assigned question is: “A map point is 13 units east and 4 units north. Give its ordered pair.” A learner wrote: “I reversed the horizontal and vertical coordinates of the location involving 13, then recorded (13.1, 4).” Identify a concrete invalid step or assumption. Work out the correct result and explain why it is valid.
Show worked answer (after attempting)
Answer: Correct result: (13, 4)
The attempted reasoning or reported result does not satisfy the specified operation, units or geometric conditions. Correct mathematical result: (13, 4). Recompute from the given data: From the origin travel 13 on the labeled horizontal x-axis, then 4 upward on the y-axis. Always write (x, y).
2 · MATH-5B-C12-L04-ERR2
The assigned question is: “Explain which coordinate is horizontal in (11, 7), then plot it.” A learner wrote: “I reversed the horizontal and vertical coordinates of the location involving 11, then recorded (12, 7); x = 11.” Identify a concrete invalid step or assumption. Work out the correct result and explain why it is valid.
Show worked answer (after attempting)
Answer: Correct result: (11, 7); x = 11
The attempted reasoning or reported result does not satisfy the specified operation, units or geometric conditions. Correct mathematical result: (11, 7); x = 11. Recompute from the given data: From the origin travel 11 on the labeled horizontal x-axis, then 7 upward on the y-axis. Always write (x, y).
Exit check
Exit · MATH-5B-C12-L04-Q19
Plot (8, 10) in the first quadrant and state its x-coordinate.
Show worked answer (after attempting)
Answer: (8, 10); x = 8
From the origin travel 8 on the labeled horizontal x-axis, then 10 upward on the y-axis. Always write (x, y).