7.3.B
The Standard
apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students translate situations into calculations with positive and negative integers, fractions, and decimals. They select the needed operation, calculate accurately, and explain what the answer means.
What Mastery Looks Like
- Students solve one-step and multi-step problems with positive and negative integers, fractions, and decimals. They choose operations correctly, show clear work, and check whether the result is reasonable.
Common Misconceptions
- Students often use integer sign rules for every operation, such as claiming two negatives always make a positive. They may subtract in the wrong order or forget to invert the divisor when dividing fractions.
How to Assess It
- Use this exit ticket: Evaluate (-6 + 2.5 × 4 - 3) ÷ 0.5, then explain one sign decision.
Lesson moves
Ways to Teach It
Give pairs a laminated number line, fraction strips, and counters to model four task cards, one for each operation.
Ask, "Why is -3 - (-5) positive, but -3 + (-5) negative?" Students write, pair-share, and revise.
Play Rational Number War: pairs flip two number cards and an operation card, calculate, and keep the cards for a correct answer.
Give students a bank ledger with deposits, withdrawals, shared charges, and repeated fees, then have them calculate and justify the final balance.
Keep exploring
Related Standards
- 5.2
The student applies mathematical process standards to represent, compare, and order positive rational numbers and understand relationships as related to place v...
- 7.2
The student applies mathematical process standards to represent and use rational numbers in a variety of forms. The student is expected to extend previous know...
- 7.3.A
add, subtract, multiply, and divide rational numbers fluently
- 6.2
The student applies mathematical process standards to represent and use rational numbers in a variety of forms
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