6.4.G

Math6th Grade

The Standard

generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money

Texas Essential Knowledge and Skills for Mathematics

Teacher's field guide

What This Standard Means

What Students Need to Do

Students move between fraction, decimal, and percent forms while solving situations such as discounts, tips, and amounts of money. They show that each form represents the same part of a whole.

What Mastery Looks Like

A student can show that $15 out of $60 is 1/4, 0.25, and 25 percent. The student simplifies the fraction and explains why all three values name the same amount.

Common Misconceptions

Students may treat 0.4 as 4 percent instead of 40 percent. They may also use the dollar amount as the denominator instead of the original price.

How to Assess It

Give an exit ticket: “A backpack costs $40, and the discount is $10. Write the discount as a fraction of the price, a decimal, and a percent.”

Lesson moves

Ways to Teach It

  1. Give pairs play money and hundred grids to show $18 out of $60, then record the fraction, decimal, and percent.

  2. Ask students to write: “A $12 discount on a $48 item is what fraction, decimal, and percent of the price?”

  3. Run a card-matching relay using sets such as 3/5, 0.6, 60 percent, and “$30 of $50.”

  4. Use grocery ads to calculate each coupon discount as a fraction of the original price, a decimal, and a percent.

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