Equivalent Fractions:
We have now seen 4 different ways of
showing that fractions are equivalent:
- Using fraction circles (manipulative
guess
and check--last week)
- Using fraction bars (manipulative guess and check--last week)
- Folding paper squares (this
same
technique works for rectangles--show a simplified fraction with
folds going in one direction, and add folds going in the other
direction--last week) Alternate
link: this video contains both fraction circles and paper
squares. It takes a long time
to load. Be patient.
- Grouping items (when finding equivalent fraction names for
discrete sets--this week)
- Another resource for reviewing is this video on
fraction
equivalence
Your assignment is to show how to use
these ways to find and show fraction equivalence:
1. Find as many fractions as you can, using your fraction circle set,
that are equivalent to 2/3. Explain the process a child could
follow to find equivalent fractions in this way.
2. Choose one of your answers from #1 and show what the similar work
would look like if you did it with fraction bars instead. (Label your
fraction bars, so I know what size each is intended to be)
3. Find 4 fractions equivalent to 2/3 using paper folding/paper
squares/rectangles. Show/draw the square/rectangle you used for
each.
4. Show/describe 3 discrete sets of different sizes, each of which are
colored/shaded to show 2/3.
5. Use your fraction circles to find a simplified fraction name for
6/8. Explain the process a child could follow to find the
simplified fraction using fraction circles.
6. Show or draw a square/rectangle diagram showing that 6/8 is
equivalent to its simplified fraction. Write a description that
tells how to see both the fraction 6/8 and the simplified fraction in
the diagram.
7. Draw a grouped, shaded discrete set to show that 6/8 is equivalent
to its simplified fraction. Write a description that tells how to
see both the fraction 6/8 and the simplified fraction in the diagram.