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 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

Give pairs play money and hundred grids to show $18 out of $60, then record the fraction, decimal, and percent.
Ask students to write: “A $12 discount on a $48 item is what fraction, decimal, and percent of the price?”
Run a card-matching relay using sets such as 3/5, 0.6, 60 percent, and “$30 of $50.”
Use grocery ads to calculate each coupon discount as a fraction of the original price, a decimal, and a percent.

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