TEKS Math 6.3.B
The Standard
determine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction, including values greater than or less than one
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students decide whether multiplying a positive quantity by a fraction makes it larger, smaller, or unchanged. They use the fraction's relationship to one before calculating, then check when needed.
What Mastery Looks Like
- Students correctly predict how a factor less than, greater than, or equal to one affects a positive quantity. They support predictions with a model, comparison, or calculation.
Common Misconceptions
- Students may think multiplication always makes a number larger. They may also judge a fraction by its numerator or denominator alone instead of comparing it with one.
How to Assess It
- Give this exit ticket: Without calculating, decide whether 24 × 7/8 and 24 × 9/8 are less than or greater than 24. Explain each choice.
Lesson moves
Ways to Teach It
Use fraction strips to model 12 multiplied by 1/2 and 3/2, then place both products beside 12 on a number line.
Ask, “Will 18 × 5/6 be greater or less than 18?” Students write a prediction and explain without multiplying.
Students sort quantity-and-factor cards into increase, decrease, or stay the same, then calculate each product to check.
Scale an eight-cup recipe by 3/4 and 5/4, then compare each new amount with the original recipe.
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Printable 6.3.B Worksheet
A ready-to-print activity worksheet aligned to 6.3.B, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 4.3.F
evaluate the reasonableness of sums and differences of fractions using benchmark fractions 0, 1/4, 1/2, 3/4, and 1, referring to the same whole
- 3.4.J
determine a quotient using the relationship between multiplication and division
- 3.3.H
compare two fractions having the same numerator or denominator in problems by reasoning about their sizes and justifying the conclusion using symbols, words, ob...
- 4.3.D
compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or <
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