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Hunt the Easter Eggs with Bluey and Bingo

Task 1:

Bluey and Bingo are finding the chocolate eggs that their parents set up for them on Easter Day. The map is given as the Cartesian plane below. Let's help Bluey and Bingo find the hidden eggs by plotting points of given coordinates and finding the coordinates for given points. You also need to help Bluey and Bingo find out the patterns of the eggs' arrangement.

Learning objectives

1. Plot points of given coordinates on the Cartesian plane 2. Find coordinates of plotted points on the Cartesian plane 3. Identify the feature of the Cartesian plane 4. Recognize the pattern of points on the plane

Question 1:

What does the plane look like?

Image

Question 2:

Both Bluey and Bingo start from the point of intersection, which is referred to as point O. They are given some location by their parents as the form of coordinates. Now, let's explore how they reach to these eggs by clicking the two button on the applet below.

Question 3:

What do you notice about the movement of Bluey and Bingo? (Hints: look at the movement of the red and green arrows)

What will be changing when you change the order of movement or the order of x and y coordinates?

Question 4:

Now, you need to help Bluey and Bingo find the some more eggs by plotting the given coordinates, which are written in the form (x , y) (x is the point corresponding to the horizontal line x-axis, and y is the point corresponding to the vertical line y-axis), on the Cartesian plane below. Click on the 'check answer' button to see if you are right.

Question 5:

Quadrant is the area enclosed by the intersection of the two axes.
Image

What is special in the values of coordinates in each quadrant? (You need to look at the plot in question 4)

Without plotting, which area Bluey has to go to get the egg at Z = (2 , 6)?

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What is special about those points? Use the Toolbar Image tool to explore your answer.

Without plotting, which area that the egg at Y = (-3, 2) lies in?

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Question 6:

Find the coordinates of the following points on the plane

Write down your answer in the box below. The coordinates of a point should be given in the appropriate form, e.g. O = (0,0)