6.3.D
The Standard
add, subtract, multiply, and divide integers fluently
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students calculate with positive and negative whole numbers in mixed problems. They choose the correct sign and find an accurate value for each result.
What Mastery Looks Like
- Students solve mixed integer calculations quickly and accurately. They apply sign rules correctly and can check multiplication with division or addition with subtraction.
Common Misconceptions
- Students may treat every pair of negative signs as positive, even in addition or subtraction. They may also confuse subtracting a negative with adding a negative or ignore the sign when dividing.
How to Assess It
- Give this exit ticket: solve −8 + 13, 6 − 15, (−4)(−7), and −36 ÷ 9, then explain one answer's sign.
Lesson moves
Ways to Teach It
Use two-color counters to model −4 + 7 and 3 − 8, then write an equation for each model.
Ask students to explain why (−6)(−3) is positive while −18 ÷ 3 is negative, using a pattern or number line.
Play integer operation bingo by calling expressions while students cover matching answers and justify disputed signs.
Give students a bank ledger with deposits, withdrawals, repeated fees, and equal repayments, then have them calculate each balance change.
Keep exploring
Related Standards
- 4.4.H
solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders
- 7.3.A
add, subtract, multiply, and divide rational numbers fluently
- 5.3.K
add and subtract positive rational numbers fluently
- 6.3.E
multiply and divide positive rational numbers fluently
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