📊Math G3 L6.4 🤔Explore A1 - Number Line Equivalents

For this lesson you will need 2 strips of paper the same length (you may use adding machine tape or paper strips), colored pencils or markers, your journals, and the In Class Activity Page found in the lesson materials)

Play media comment.

Part 1

a) Take one strip of paper.

• Fold the paper in half along the shortest line of symmetry.
  • A line of symmetry is where both sides of the "fold" are mirror images of each other.
• Mark the fold with a dotted line.
• Make an orange tick mark on the fold.
  • What does this orange tick mark represent?
    • One-half
    • This represents the distance from the beginning to half-way.
    • Example:  half a string, half the length of a race
• Make an orange tick mark at the top left edge of the paper, exactly on the endge of the paper.
  • What does this orange tick mark represent?
    • $\frac{0}{2}$
    • This means there are 0 halves.
    • This is also known as the zero mark.

• Make a tick mark on the far right tope edge of the paper.
  • What does this tick mark represent?
    • $\frac{2}{2}$
    • This means 2 halves or 2 of the equal sized pieces that make up the whole.
    • This mark is also known as 1.
• Across the top of the paper use a yellow crayon to mark from 0 to 1.

Part 2

Play media comment.

b) Take the same strip of paper and refold as in the first step.

• Now fold the paper in half again, the same direction as before.
• Open the paper
• What has the paper now been partitioned into?
  • Fourths
  • There are 4 equal sections or lengths
• Fold your paper so there is only one section visible.
  • This is $\frac{1}{4}$.
• Make a blue tick mark on the top of the paper.  
  • Mark this as $\frac{1}{4}$
• Open your paper and trace with your finger from 0 to $\frac{1}{4}$.
  • What does this represent?
    • Length of $\frac{1}{4}$.
• On your paper, mark the other folds with blue tick marks.  You should have 5 blue tick marks now.  (Don't forget the ends.)
• Let's count these tick marks.
  • $\frac{0}{4}$
  • $\frac{1}{4}$
  • $\frac{2}{4}$
  • $\frac{3}{4}$
  • $\frac{3}{4}$
  • $\frac{4}{4}$
• How many of these sections does it take to make the whole yellow line?
  • • • 4
• How do you know the yellow line is shared equally?
  • The folded line is in four equal sections.
• Is the distance from 0 to $\frac{1}{4}$the same as $\frac{1}{4}$to $\frac{2}{4}$?
  • Yes.  The lines can fold one on each other and are the same length

Play media comment.

• Let's mark your paper with the fourths.
• Where should $\frac{0}{4}$be?
  
  • Under $\frac{0}{2}$
• Where should $\frac{2}{4}$be placed?
  • Under $\frac{1}{2}$
• Where should $\frac{3}{4}$be placed?
  • On the 3rd fold line.
• Where should $\frac{4}{4}$be placed?
  • Under $\frac{2}{2}$

Journal

Copy this number line into your journal with the colors.  Describe how this is similar to activities done before.