Standard #: MAFS.7.NS.1.3 (Archived Standard)


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Solve real-world and mathematical problems involving the four operations with rational numbers.



Remarks


Examples of Opportunities for In-Depth Focus

When students work toward meeting this standard (which is closely connected to 7.NS.1.1 and 7.NS.1.2), they consolidate their skill and understanding of addition, subtraction, multiplication and division of rational numbers.

General Information

Subject Area: Mathematics
Grade: 7
Domain-Subdomain: The Number System
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. (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.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    N/A

    Assessment Limits :
    Complex fractions may be used, but should contain fractions with single-digit numerators and denominators
    Calculator :

    Neutral

    Context :

    Allowable



Sample Test Items (3)

Test Item # Question Difficulty Type
Sample Item 1 At 8:00, the temperature was 6 degrees Celsius (°C). Three hours later, the temperature was -13°C. 

By how many degrees Celsius did the temperature change?

N/A EE: Equation Editor
Sample Item 2 The change in the price of a certain brand of cereal from 2010 to 2012 is shown in the table.

In 2009 the price of cereal was $3.69.

What was the price of the cereal at the end of 2012?

N/A EE: Equation Editor
Sample Item 3

The total change in the price of a certain brand of cereal from 2008 to 2012 was -$0.20.

Complete the table to show possible price changes in 2010 and 2012.

 

N/A TI: Table Item


Related Courses

Course Number1111 Course Title222
1205020: M/J Accelerated Mathematics Grade 6 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 - 2024, 2024 and beyond (current))
1205040: M/J Grade 7 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))
1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))
7812020: Access M/J Grade 7 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))


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Original Student Tutorials

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Teaching Idea

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Student Resources

Original Student Tutorials

Name Description
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Evaluate numerical expressions with rational numbers expressed as decimals using the order of operations and properties of operations in this interactive tutorial.

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Evaluate numerical expressions with rational numbers expressed as fractions using the order of operations and properties of operations in this interactive tutorial.

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Problem-Solving Task

Name Description
Sharing Prize Money:

Students are asked to determine how to distribute prize money among three classes based on the contribution of each class.

Tutorials

Name Description
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Solve a multi-step word problem in the context of a cab fare.

Rational Number Word Problem with Fractions:

In this example, you determine the volume of frozen water and express the answer as a fraction.

Dividing Fractions Example 2:

This video demonstrates dividing fractions as multiplying by the reciprocal.

Dividing Whole Numbers and Fractions: T-shirts:

This video demonstrates dividing a whole number by a fraction by multiplying by the reciprocal.

Examples of Evaluating Variable Expressions:

This video tutorial shows examples of writing expressions in simplified form and evaluating expressions.



Parent Resources

Problem-Solving Task

Name Description
Sharing Prize Money:

Students are asked to determine how to distribute prize money among three classes based on the contribution of each class.



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