Lines and Angles: Exploring Polygons Together
Year 6 Mathematics Exploring 2D Shapes - Lesson 2 New Zealand Curriculum
Let's Think About Polygons
What is a polygon? Can you name some polygons you know? What do you notice about the lines in different shapes?
Types of Lines in Polygons
Parallel lines - never meet, always same distance apart Perpendicular lines - meet at right angles (90°) Horizontal lines - go left to right, like the horizon Vertical lines - go up and down, like a flagpole

Parallel Lines
Lines that never meet Always the same distance apart Like railway tracks or ladder rungs Found in rectangles and squares
Perpendicular Lines
Lines that meet at right angles Form 90-degree angles Like the corner of a book or window frame Found in squares, rectangles, and right triangles
Line Detective Activity
Look at the polygon worksheets Use colored pencils to identify different lines: Red for parallel lines Blue for perpendicular lines Green for horizontal lines Purple for vertical lines

Hands-On Drawing Challenge
Use your ruler to draw: Two parallel lines Two perpendicular lines crossing A horizontal line across your paper A vertical line down your paper Then create a polygon using these lines!

String Polygon Challenge
Work with a partner Use string or elastic bands to create polygons Challenge 1: Make a shape with parallel sides Challenge 2: Create a right angle with your string Challenge 3: Build a polygon with both parallel AND perpendicular lines

Lines in Our World
Parallel lines: railway tracks, zebra crossings, fence posts Perpendicular lines: street corners, door frames, book edges Horizontal lines: horizon, table edges, window sills Vertical lines: flagpoles, tree trunks, building walls

Exit Ticket Challenge
Name one type of line and describe it in your own words Draw a polygon that has: - At least one pair of parallel lines - At least one pair of perpendicular lines Label your lines using our new vocabulary!