Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Coordinate Grids: Locating positions on a grid using coordinates (x, y).
Reading Coordinates: Always read the horizontal (x-axis) value first, then the vertical (y-axis) value ('Along the corridor, then up the stairs').
Compass Directions: Identifying the four main cardinal points: North (N), South (S), East (E), and West (W).
Movement and Translation: Moving a shape or point a specific number of units left, right, up, or down without turning it.
Turns and Rotation: Describing turns as clockwise or anti-clockwise, and using terms like quarter turn (right angle), half turn, and full turn.
📐Formulae
Position = (x, y)
💡Examples
Problem 1:
A treasure map has a grid. A gold coin is located at 3 units to the right and 5 units up from the starting point (0,0). What are the coordinates of the gold coin?
Solution:
Explanation:
To find coordinates, we list the horizontal distance (x) first and the vertical distance (y) second. Since we move 3 units right and 5 units up, the coordinate is (3, 5).
Problem 2:
Robot 'Z' is facing North. It makes a quarter turn clockwise. Which direction is it facing now?
Solution:
East
Explanation:
A clockwise turn follows the direction of a clock's hands. Starting at North, a (quarter) turn to the right leads to East.
Problem 3:
Point A is at . If you move Point A 3 squares to the right and 1 square down, what are its new coordinates?
Solution:
Explanation:
Moving right increases the x-coordinate: . Moving down decreases the y-coordinate: . The new position is .