Access Point #: MAFS.7.EE.2.AP.3a (Archived Access Point)


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Solve real-world, multi-step problems using positive and negative rational numbers (whole numbers, fractions and decimals).

Clarifications:

Essential Understandings

Concrete:

  • Demonstrate operations using manipulative when presented with common language (altogether, left over, sum, etc.).
  • Create an array of objects into groups to model the role of equal groups in a multiplication or division situation.
  • Given a set number of manipulatives, distribute them evenly to create a deficit (e.g., given 10 markers distribute 1 each to 15 students).
  • Given a set number of manipulatives, distribute them evenly to create a fraction (e.g., given 10 pieces of chalk distribute ½ piece to 20 students).
Representation:
  • Create a pictorial array for the mathematical equation and match the answer symbol (+ or -) following multiplication rules for an equation.
  • Create a pictorial array for the mathematical equation and match the answer symbol (+ or -) following division rules for an equation.
  • Understand the following symbols for +, -, ×, ÷.
  • Use tools, as needed, to complete the four operations.
  • Solve problems using:
    º Picture
    º Models
    º Representation cards
    º Number sentences
    º Mathematical word problems
    º Graphic representation

Number: MAFS.7.EE.2.AP.3a Category: Access Points
Date Adopted or Revised: 07/14 Cluster: Solve real-life and mathematical problems using numerical and algebraic expressions and equations. (Major Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.7.EE.2.3: 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.




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