Introduction to Drawing Shapes on the Grid

Hello, Year 4! Today, we are going to learn about drawing shapes on a grid. It’s a fun way to create pictures and understand how shapes work together.

What is a Grid?

A grid is made up of squares that are arranged in rows and columns. Each square can be used to help us draw shapes accurately. The grid has numbers along the sides that help us find the exact place to draw.

How to Draw Shapes on a Grid

  1. Find the Starting Point: Choose where you want to start drawing your shape. This point is usually given as coordinates (like 2, 3) where the first number is the column and the second number is the row.
  2. Count Squares: Use the grid to count the squares you need to move to make your shape. For example, if you want to draw a square, move the same number of squares across and down.
  3. Connect the Dots: Once you’ve marked all the corners of your shape, connect them in the right order to complete your shape.

Example of Drawing a Square

Let’s draw a square that starts at (2, 3):

  • Start at (2, 3).
  • Move 2 squares to the right to (4, 3).
  • Move 2 squares up to (4, 5).
  • Move 2 squares to the left to (2, 5).
  • Move down back to (2, 3) to complete the square.

Key Rules

  • Always start from a specific point on the grid.
  • Make sure to count the squares accurately.
  • Connect your points in the right order to form the shape.

Tips and Tricks

  • Use a ruler to help make straight lines.
  • Take your time and double-check your counting.
  • Practice by drawing different shapes like triangles, rectangles, and circles.

Questions for Practice

Easy Level Questions

  1. Draw a square starting at (1, 1).
  2. Draw a rectangle starting at (2, 2) that is 3 squares wide and 2 squares tall.
  3. Mark the point (3, 4) on your grid.
  4. Draw a triangle with points (1, 1), (1, 4), and (3, 1).
  5. Draw a circle around the point (3, 3) on your grid.
  6. What shape has 4 equal sides?
  7. Draw a pentagon starting at (5, 5).
  8. Draw a rectangle that is 2 squares wide and 4 squares tall starting at (4, 4).
  9. What are the coordinates of the top-left corner of a square that is 2 squares wide and starts at (2, 2)?
  10. How many sides does a hexagon have?

Medium Level Questions

  1. Draw a square with a side length of 4 squares starting at (2, 2).
  2. Create a triangle with points (1, 2), (4, 2), and (2, 5).
  3. Draw a rectangle that is 5 squares wide and 3 squares tall starting at (2, 1).
  4. Mark the points (2, 3) and (5, 3) on the grid. What shape can you draw between them?
  5. Draw a shape with 6 sides starting at (3, 3).
  6. If you start at (1, 1) and move 3 squares to the right and 2 squares up, what are your new coordinates?
  7. Draw a trapezium starting at (2, 3) with a base of 4 squares.
  8. Draw two overlapping rectangles and label their coordinates.
  9. What shape can you create by connecting the points (2, 2), (2, 5), (5, 5), and (5, 2)?
  10. Draw a kite shape using the points (3, 3), (4, 5), (5, 3), and (4, 1).

Hard Level Questions

  1. Draw a complex shape that has at least 10 sides and label its vertices.
  2. Create a grid pattern using squares and triangles, starting from (1, 1).
  3. Draw a parallelogram starting at (3, 1) with a base of 5 squares and a height of 3 squares.
  4. If you draw a shape that is 4 squares wide and 3 squares tall starting at (0, 0), what are the coordinates of all corners?
  5. Draw a shape that has 8 sides and explain how you did it.
  6. Create a star shape using at least 5 points on the grid.
  7. Draw a shape that reflects across the vertical line at x = 5.
  8. Mark points (0, 0), (0, 3), and (3, 0) on your grid. What shape do they make?
  9. Create a pattern using two different shapes, and explain how you placed them.
  10. Draw a complex shape using at least 4 different types of polygons and label them.

Answers and Explanations

Answers for Easy Level Questions

  1. A square starting at (1, 1) will cover (1, 1), (2, 1), (1, 2), (2, 2).
  2. A rectangle starting at (2, 2) will cover (2, 2), (5, 2), (2, 4), (5, 4).
  3. Point (3, 4) is marked by placing a dot at that grid position.
  4. Triangle has points (1, 1) at bottom-left, (1, 4) at top-left, and (3, 1) at bottom-right.
  5. A circle cannot be drawn on a grid but can be approximated by connecting points around (3, 3).
  6. A square has 4 equal sides.
  7. A pentagon has 5 sides.
  8. Rectangle will cover points (4, 4), (4, 8), (6, 4), (6, 8).
  9. Top-left corner is (2, 2).
  10. A hexagon has 6 sides.

Answers for Medium Level Questions

  1. Square covers points (2, 2), (6, 2), (2, 6), (6, 6).
  2. Triangle covers points (1, 2), (4, 2), (2, 5).
  3. Rectangle covers points (2, 1), (7, 1), (2, 4), (7, 4).
  4. Shape can be a line connecting those points.
  5. Hexagon can be drawn with points (3, 3), (4, 4), (5, 3), (4, 2).
  6. New coordinates would be (4, 3).
  7. Trapezium can be drawn from points (2, 3), (6, 3), (4, 5), and (4, 1).
  8. Label coordinates where rectangles overlap.
  9. Shape will be a rectangle.
  10. Kite shape has points (3, 3), (4, 5), (5, 3), and (4, 1).

Answers for Hard Level Questions

  1. Students will create a complex shape with at least 10 specific points.
  2. A grid pattern could use different triangles and squares drawn from (1, 1).
  3. Parallelogram would cover points (3, 1), (8, 1), (5, 4), (0, 4).
  4. Coordinates will be (0,0), (4,0), (0,3), (4,3).
  5. Students will list their points for an 8-sided shape.
  6. A star shape will consist of points that form a star-like figure.
  7. Reflecting means drawing the same shape on the other side of the line.
  8. Points create a right triangle.
  9. Patterns could be overlapping squares and triangles.
  10. Students will create a complex shape with a combination of polygons.

Happy drawing, Year 4! Keep practicing your shapes on the grid, and soon you’ll be a shape expert!