Understanding the Cartesian Plane

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Understanding the Cartesian Plane — Free MYP1 Mathematics Practice Questions

1QuestionPlotting Points in All Four QuadrantsConcept Practice

2 marks~3 minCriterion B

Look at these points plotted on a coordinate grid:

(1, 2)

(2, 4)

(3, 6)

(4, 8)

Describe the relationship between the

x

-coordinate and the

y

-coordinate. [1]

State the next two points in the sequence. [1]

x\text{-coordinates: } \underline{\quad}, \underline{\quad}

y\text{-coordinates: } \underline{\quad}, \underline{\quad}

Solutions

2QuestionDescribing Positions Using CoordinatesAssessment Practice

6 marks~9 minCriterion D

A simple school map shows three rooms as points on a grid.

Library:

(3, 4)

— Science Lab:

(5, 6)

— Canteen:

(7, 2)

State the coordinates of the Canteen. [1]

Describe how a new student would walk from the Library to the Canteen using the coordinates. [2]

The grid has no scale or units. Describe one way this makes the map less useful, and give one example of information that could be added to improve it. [3]

Solutions

3QuestionPlotting Points in All Four QuadrantsConcept Practice

3 marks~5 minCriterion A

Two points are plotted on a Cartesian plane:

A(-3, 2)

and

B(1, -1)

Identify the

x

-coordinate of each point. [1]

Calculate the horizontal distance between

A

and

B

. [1]

Describe how the vertical distance between

A

and

B

compares to the horizontal distance. [1]

Solutions

4QuestionPlotting Points in All Four QuadrantsAssessment Practice

6 marks~9 minCriterion C

Look at the coordinate grid below.

Point

A

is at

(2, 3)

. Point

B

is at

(-4, 5)

Label point

A

and point

B

on the grid. [2]

Describe what happens to the coordinates of point

A

when it is reflected over the

x

-axis. [2]

A student says: "Reflecting over the

x

-axis always keeps the

x

-coordinate positive." Describe why this rule works for point

A

but not for point

B

. [2]

Solutions

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