Grade 6 Mathematics · Unit 4: Understand and Use PercentagesStandard 6.AT.4

Lesson 4.54.5 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target With my small group, I can determine the whole when I know a part and the percent that part represents — one step at a time, with support.

Remember4.5 Small Group · Group 1

Put the part and its percent in a ratio table. Scale the percent to 100% to find the whole. Check that the whole is more than the part. When you know a part and its percent, you can work backward to find the whole, which is 100%.

Words: Part (Parte)Whole (Total)Double number line (Recta numérica doble)Equation (Ecuación)Percent (Porcentaje)

  1. 1Complete each step, then write the final answer.
    Percent (%)Price ($)________________________

    Tom paid $24 for shoes on sale. That was 80% of the original price. What was the original price?

    Show your work

    Hint Put 80% and 24 in the first column. Find 20% first. Then multiply to reach 100%.

    Final answer:
  2. 2Complete each step, then write the final answer.
    Percent (%)Dollars________________

    $14 is 20% of what amount?

    Show your work

    Hint Put 20% and 14 in the first column. What scale factor takes 20% to 100%?

    Final answer:
  3. 3Complete each step, then write the final answer.
    Percent (%)Water (L)________________________

    A tank has 30 liters of water in it. The tank is 60% full. How many liters does a full tank hold?

    Show your work

    Hint Put 60% and 30 in the first column. Find 20% first. Then multiply to reach 100%.

    Final answer:
  4. 4Complete each step, then write the final answer.
    Percent (%)Dollars________________________

    Sam has $54. That is 90% of the cost of a jacket. How much more money does Sam need to buy the jacket?

    Show your work

    Hint Put 90% and $54 in the first column. Find the whole cost. Then find how much is missing.

    Final answer:

Explain your thinking9 is 30% of a number. Ella says the number is 2.7. Before you compute, how can you tell the number must be more than 9?

Sentence starter The whole is 100%, so it must be ___ than the part. · In the table, I scale ___% up to 100% because ___.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help