6.4.G
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
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.
Keep exploring
Related Standards
- 4.2.E
represent decimals, including tenths and hundredths, using concrete and visual models and money
- 6.4.E
represent ratios and percents with concrete models, fractions, and decimals
- 7.4.D
solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy prob...
- 6.5.C
use equivalent fractions, decimals, and percents to show equal parts of the same whole
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