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Multi-Step Real World Problems

7th Grade

Alabama Course of Study Standards: 8

Solve multi-step real-world and mathematical problems involving rational numbers (integers, signed fractions and decimals), converting between forms as needed. Assess the reasonableness of answers using mental computation and estimation strategies.

Arkansas Academic Standards: 7.EE.B.3

Solve multi-step, real-life, and mathematical problems posed with positive and negative rational numbers in any form using tools strategically:
  • Apply properties of operations to calculate with numbers in any form (e.g., -(1/4)(n-4))
  • Convert between forms as appropriate (e.g., if a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50)
  • Assess the reasonableness of answers using mental computation and estimation strategies (e.g., if you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation)

Arizona - K-12 Academic Standards: 7.EE.B.3

Solve multi-step mathematical problems and problems in real-world context posed with positive and negative rational numbers in any form. Convert between forms as appropriate and assess the reasonableness of answers. For example, If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50 per hour.

Common Core State Standards: Math.7.EE.3 or 7.EE.B.3

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.

North Carolina - Standard Course of Study: 7.EE.3

Solve multi-step real-world and mathematical problems posed with rational numbers in algebraic expressions.
  • Apply properties of operations to calculate with positive and negative numbers in any form.
  • Convert between different forms of a number and equivalent forms of the expression as appropriate.

New York State Next Generation Learning Standards: 7.EE.3

Solve multi-step real-world and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate. Assess the reasonableness of answers using mental computation and estimation strategies.
e.g.,
  • If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50.
  • If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.

Tennessee Academic Standards: 7.EE.B.3

Solve multi-step real-world and mathematical problems posed with positive and negative rational numbers presented in any form (whole numbers, fractions, and decimals).
  1. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate.
  2. Assess the reasonableness of answers using mental computation and estimation strategies.

Wisconsin Academic Standards: 7.EE.B.3

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50.

Pennsylvania Core Standards: CC.2.1.7.E.1

Apply and extend previous understandings of operations with fractions to operations with rational numbers.

Pennsylvania Core Standards: M07.A-N.1.1.3

Apply properties of operations to multiply and divide rational numbers, including real-world contexts; demonstrate that the decimal form of a rational number terminates or eventually repeats.

Florida - Benchmarks for Excellent Student Thinking: MA.7.NSO.2.3

Solve real-world problems involving any of the four operations with rational numbers

7th Grade Math - Multi-Step Real World Problems Lesson
 
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