Wyoming Math 7.NS.3
The Standard
Solve real-world and mathematical problems involving the four arithmetic operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.)
2023 Wyoming Mathematics Content and Performance Standards · Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students solve problems using addition, subtraction, multiplication, and division with positive and negative numbers. They work with fractions and decimals, including a fraction divided by a fraction.
What Mastery Looks Like
- A student can write an expression for a word problem and calculate it in the right order. They keep signs straight and explain what their answer means in the situation.
Common Misconceptions
- Students may treat subtracting −2 as subtracting 2, or think a negative divided by a negative is negative. When dividing fractions, some flip the first fraction instead of the divisor.
How to Assess It
- Exit ticket: Your balance is −$6. You earn $18, buy two $2 snacks, then split the remaining money equally with a friend. How much does each person get? Show your steps.
Lesson moves
Ways to Teach It
Give pairs red and blue counters to model −3 + 5, then have them draw why the result is 2.
Ask students to explain why −3 ÷ 1/2 equals −6, using a number line or a written example.
Deal nonzero signed fraction cards and operation cards; players calculate each result and check it with a calculator before claiming a point.
Give students a bank statement with a −$12.50 balance, a $20 deposit, and two $3.25 fees; have them find the final balance.
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Printable 7.NS.3 Worksheet
A ready-to-print activity worksheet aligned to 7.NS.3, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 6.EE.2c
Use Order of Operations to evaluate algebraic expressions using positive rational numbers and whole-number exponents. Include expressions that arise from formul...
- 6.EE.7
Write and solve real-world and mathematical problems in the form of one-step, linear equations involving non negative rational numbers.
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