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 5 chapters and video availability01 · Read and understand
What you will learn
- Use horizontal then vertical coordinates to locate a point.
- Explain your method and check what the result means in the stated situation.
Before you start
Multi-digit operations, equivalent fractions, decimal place value, and rectangular area.
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
On a grid, start at the origin and move 4 units right then 3 units up. What point is reached?
Why this math matters
Locate positions precisely on a grid map with named horizontal and vertical axes. 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.
Locate points with ordered pairs
PausedQuestion: Start with the question. Paused.
Question
Start with the question
On a grid, start at the origin and move 4 units right then 3 units up. What point is reached?
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
Origin = (0, 0)
Both coordinate counts begin at zero.
Connect the parts
Horizontal x = 4; vertical y = 3
The first coordinate describes horizontal displacement.
State and check the result
Point = (4, 3)
Reversing the order would locate a different point.
The result
Point = (4, 3)
Reversing the order would locate a different point.
Common mistakes to catch
- Ordered pairs have a meaningful order.
- Use each axis's stated scale rather than assuming one square always equals one unit.
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
Describe how to plot (2, 5).
Show a hint
Read x first, then y.
Reveal answer and explanation
Two units right and five up
The coordinate order fixes both directions.
Practice 2
Which points lie on the horizontal axis: (3,0) or (0,3)?
Show a hint
The vertical coordinate must be zero.
Reveal answer and explanation
(3,0)
It has no upward displacement from the x-axis.
Take the idea with you
Locate positions precisely on a grid map with named horizontal and vertical axes.
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: Compare two rules in a table
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