standard_description: Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
problem_activity: Problem 1
Would you rather have the leftover king-sized candy bar in Scenario A or Scenario B? The original candy bars were the same size.
| Scenario A             |https://d21royfkw9g4l6.cloudfront.net/6IHeGW1e9sEYAohbKOidTN_LVX12G.png|  |https://d21royfkw9g4l6.cloudfront.net/6IHeGW1e9sEYAohbKOidTN_LVX12G.png| image:: https://d21royfkw9g4l6.cloudfront.net/6IHeGW1e9sEYAohbKOidTN_LVX12G.png | Scenario B             |https://d21royfkw9g4l6.cloudfront.net/zmqYDd5fBHecNcxlVQyYLE_C22SZP.png|  |https://d21royfkw9g4l6.cloudfront.net/zmqYDd5fBHecNcxlVQyYLE_C22SZP.png| image:: https://d21royfkw9g4l6.cloudfront.net/zmqYDd5fBHecNcxlVQyYLE_C22SZP.png |
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Problem 2
Find two fractions that are equivalent to each of the following:
a.
$$\frac{1}{3}$$
b.
$$\frac{3}{4}$$
c.
$$\frac{3}{2}$$
Problem 3
Use pictures to explain why the following fractions are equivalent.
a.
$${{1\over2}={3\over6}}$$
b.
$${{2\over3}={8\over12}}$$
c.
$${{4\over3}={8\over6}}$$


aligns: no