Learn with Amar
Teaching video
A teaching recording for this chapter has not been published yet. Start with the worked example below and explore the related animations where available.
Grade 6 chapters and video availability01 · Read and understand
What you will learn
- Interpret the signs of both coordinates.
- Explain your method and check what the result means in the stated situation.
Before you start
Fraction and decimal operations, whole-number factors, measurement units, and reading simple tables.
Keep paper nearby. Read the question once for the context, then again to identify what is known and what you need to find.
Start with a question
Plot P = (−3, 2) and identify its quadrant.
Why this math matters
Extend a grid map to locations on either side of a chosen origin. The worked example shows how to connect the situation, its mathematical representation, and a check on the result.
Set up the model
A useful answer starts with clear assumptions:
- Use the units, grouping rules, and reference whole stated in the question.
- Treat the supplied counts and measurements as exact within the classroom model, unless an estimate or a random outcome is requested.
02 · Work through the example
Follow the reasoning, one step at a time.
Try to predict the next step before reading it. After each calculation, explain why the operation makes sense and how it helps answer the original question.
Work through it with Amar
See this example unfold.
The complete worked example, one idea at a time.
Plot points in all four quadrants
PausedQuestion: Start with the question. Paused.
Question
Start with the question
Plot P = (−3, 2) and identify its quadrant.
Before you calculate
Read what is known and what you need to find. Make a prediction before moving to the first calculation.
Starts paused. Play advances through the full text at a reading pace; pause whenever you need more time. Previous, Next, and the phase buttons let you set your own pace. Playback pauses when this walkthrough leaves the screen or you switch tabs.
Your device’s reduced-motion setting keeps each phase still. Manual controls remain available. The full written solution stays below.
Represent the situation
x = −3: move 3 units left
The first coordinate controls horizontal direction.
Connect the parts
y = 2: move 2 units up
The second coordinate controls vertical direction.
State and check the result
P lies in Quadrant II
Quadrants are numbered counterclockwise starting from the upper right.
The result
P lies in Quadrant II
Quadrants are numbered counterclockwise starting from the upper right.
Common mistakes to catch
- The signs describe directions separately for each axis.
- Axis points are not inside a quadrant.
03 · Practice independently
Try it before revealing the answer.
Use paper or a calculator as needed. Write your units and reasoning, then open the hint or explanation to check your approach.
Practice 1
Which quadrant contains (4, −5)?
Show a hint
Positive x is right and negative y is down.
Reveal answer and explanation
Quadrant IV
The point lies in the lower-right region.
Practice 2
What quadrant contains (0, −2)?
Show a hint
A coordinate equal to zero puts the point on an axis.
Reveal answer and explanation
None; it lies on the negative y-axis
Axes are boundaries between quadrants rather than interiors of quadrants.
Take the idea with you
Extend a grid map to locations on either side of a chosen origin.
04 · Reflect and continue
Can you explain it in your own words?
Before moving on, explain the main idea without looking at the worked example. Try both practice questions, check your reasoning, and name one mistake you now know how to avoid. Return to a step if you still need support.
Up next: Find horizontal or vertical coordinate distance
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