Standard #: MA.6.A.3.1 (Archived Standard)


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Write and evaluate mathematical expressions that correspond to given situations.


Remarks


Example: A plant is 3 cm high on Day 1. Each day after that the plant grows 2 cm taller. Assume that the plant grows at the same rate. Make a table and graph that show the height of the plant for Days 1 through 10. Write an expression to show the height on day n.

General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 6
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
Big Idea: BIG IDEA 3 - Write, interpret, and use mathematical expressions and equations.
Date Adopted or Revised: 09/07
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    Item Type(s): This benchmark may be assessed using: MC , GR item(s)
    Also assesses MA.6.A.3.3 Work backward with two-step function rules to undo expressions.

    Clarification :
    Students will translate a real-world situation to a mathematical expression.

    Students will identify the real-world situation that can be represented by a given mathematical expression.

    Students will evaluate expressions involving one or two variables when given the value(s) of the variable(s), using strategies such as working backwards.
    Content Limits :
    Expressions may have up to two variables and up to two different operations, with no more than three procedural steps needed to evaluate the expression (e.g., 2x + 3y requires two multiplication steps and one addition step).

    Items will not require students to evaluate expressions having both decimals and fractions.

    Items will not include identifying equivalent expressions using the associative, commutative, or distributive properties.
    Stimulus Attributes :
    Items should be set in a real-world context.
    Response Attributes :
    Multiple-choice responses may be positive rational numbers or expressions. Gridded responses may be positive rational numbers.


Sample Test Items (2)

Test Item # Question Difficulty Type
Sample Item 1 Camera World rents video recorders by the day. The store charges $6.00 per day and a cleaning fee of $2.50. If x represents a number of days, which expression can be used to determine the total charge, in dollars, to rent a video recorder for x days? N/A MC: Multiple Choice
Sample Item 2 A bag of popcorn sells for $1.75 and a drink sells for $1.25 at a snack bar. The expression below can be used to determine the total cost, in dollars, for p bags of popcorn and d drinks.

1.75p + 1.25d

What would be the total cost, in dollars, to purchase 3 bags of popcorn and 5 drinks?

N/A GR: Gridded-Response


Related Resources

Lesson Plan

Name Description
Decoding Word Phrases-Translating verbal phrases to variable expressions

This lesson is designed to help students decode word phrases and then translate them from word form into numerical form. It provides a resource, in the form of a foldable, that can be kept all year and used anytime the students need to decode word phrases.

Teaching Idea

Name Description
A Penny Saved is a Penny at 4.7% Earned

There are lots of ways to receive income, and lots of ways to spend it. In this EconomicsMinute teaching idea, students will develop two budgets, or plans, to help them decide how to allocate their income.

Parent Resources

Teaching Idea

Name Description
A Penny Saved is a Penny at 4.7% Earned:

There are lots of ways to receive income, and lots of ways to spend it. In this EconomicsMinute teaching idea, students will develop two budgets, or plans, to help them decide how to allocate their income.



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