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Grade 5 · Coordinates

Solar-project planning: go across before moving up

A map for a model solar-energy project places a destination at the ordered pair (1, 10). Change the controls and explain what the animation reveals.

Predict what will happen, press Play, then pause and explain what changed. Every control also works without playback.

Watch the relationship

Paused
Solar-project planning: go across before moving up. Current horizontal position: 0. Current vertical position: 0. Destination: (1, 10)Destination (1, 10)00224466881010xyAcross first, then up. Coordinates keep their order.
Coordinates lie in the first quadrant or on an axis. Axes use equal units, and the route is horizontal then vertical. The route length is not presented as Euclidean straight-line distance.

Starts paused. Play once, pause anywhere, or use Step to inspect the mathematics. Playback stops when this panel leaves the screen.

Make it your experiment

Change one value. Notice what follows.

The controls adjust the model. Numbers below describe the current frame. Decimals are rounded.

Current horizontal position
0
Current vertical position
0
Destination
(1, 10)

HD animation studio

From experiment to screen.

Present a crisp Canvas scene, save a full-HD image, or capture your model as a silent video.

Understand what you are seeing

The idea behind the motion.

A map for a model solar-energy project places a destination at the ordered pair (1, 10). An ordered pair gives horizontal movement first and vertical movement second. Swapping the coordinates usually selects a different point because the two numbers refer to different axes. The destination lies 1 units right and 10 units up. This route has length 11, which is not generally the straight-line distance.

A relationship to keep

(x, y) = (1, 10)

Read the symbols alongside the explanation. A diagram shows the relationship; the assumptions tell you when it applies.

  1. STEP 1

    Read the starting situation

    A map for a model solar-energy project places a destination at the ordered pair (1, 10). Identify what each number measures before changing a control; the worked example refers to these starting values.

  2. STEP 2

    Follow the mathematical change

    Begin at the origin, move right to the x coordinate, then move up to the y coordinate. The timeline separates these two moves. Pause on an intermediate frame and compare the picture with the live readouts.

  3. STEP 3

    Explain and test the relationship

    The destination lies 1 units right and 10 units up. This route has length 11, which is not generally the straight-line distance. Change one input, predict its effect, and test whether the same relationship still works.

Your turn to explain

Make a prediction. Test your reasoning.

Solar-project planning: use the original situation. A map for a model solar-energy project places a destination at the ordered pair (1, 10). What point would result if the two coordinates were exchanged?

Use the values specified in the question. Reset restores the initial values for this investigation.

Compare your explanation

(10, 1). It is a different point because the horizontal and vertical moves change.

Work through a full lesson

Connect the animation to a worked example and practice questions.

Grade 5 · Geometry

Locate points with ordered pairs

Use horizontal then vertical coordinates to locate a point.