General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 7
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
Big Idea: BIG IDEA 3 - Develop an understanding of operations on all rational numbers and solving linear equations.
Date Adopted or Revised: 09/07
Content Complexity Rating:
Level 2: Basic Application of Skills & Concepts
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More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications
- starting temperature + change in temperature = final temperature
- final temperature – change in temperature = starting temperature
- final temperature – starting temperature = change in temperature
Item Type(s):
This benchmark may be assessed using:
MC
item(s)
At Grade 7, this benchmark will be assessed using MC items.
Clarification :
Students will analyze a set of circumstances, pictorial representation, or pattern to identify the correct operation to use for finding an appropriate solution.
Students will recognize the appropriate operation for a stated effect, the effects of operations, and/or the relationships between operations.
Problems should be solved using concrete or pictorial representations of models, tables, and graphs, instead of using algebraic symbolism.
Students will use the rules for adding, subtracting, multiplying, and dividing integers, including absolute value, and the order of operations to solve real-world problems.
Students will analyze a set of circumstances, pictorial representation, or pattern to identify the correct operation to use for finding an appropriate solution.
Students will recognize the appropriate operation for a stated effect, the effects of operations, and/or the relationships between operations.
Problems should be solved using concrete or pictorial representations of models, tables, and graphs, instead of using algebraic symbolism.
Students will use the rules for adding, subtracting, multiplying, and dividing integers, including absolute value, and the order of operations to solve real-world problems.
Content Limits :
Items may include the effects of the four basic operations on integers, and the use of properties of real numbers to solve problems (commutative, associative, distributive, identity, equality, inverse, and the inverse relationship of positive and negative numbers).
Items should include at least one integer in the computation.
Items may use fractions less than 1 with numerators and denominators less than 100.
Items may use decimals to the ten-thousandths place.
Items may include up to three operations, with no more than five procedural steps needed to evaluate the expression.
Items may include the effects of the four basic operations on integers, and the use of properties of real numbers to solve problems (commutative, associative, distributive, identity, equality, inverse, and the inverse relationship of positive and negative numbers).
Items should include at least one integer in the computation.
Items may use fractions less than 1 with numerators and denominators less than 100.
Items may use decimals to the ten-thousandths place.
Items may include up to three operations, with no more than five procedural steps needed to evaluate the expression.
Stimulus Attributes :
Items should be set in a real-world or mathematical context.
Items may include representations of manipulatives, such as two-sided chips and algebra tiles.
Items should be set in a real-world or mathematical context.
Items may include representations of manipulatives, such as two-sided chips and algebra tiles.
Sample Test Items (1)
| Test Item # | Question | Difficulty | Type |
| Sample Item 1 | Which of the following best represents the method for finding the value of -6 + 9 4? |
N/A | MC: Multiple Choice |
Related Resources
Formative Assessment
| Name | Description |
| Using Positive and Negative Numbers in Context | This lesson unit is intended to help you assess how well students are able to understand and use directed numbers in context. It is intended to help identify and aid students who have difficulties in ordering, comparing, adding, and subtracting positive and negative integers. Particular attention is paid to the use of negative numbers on number lines to explore the structures:
|
Lesson Plans
| Name | Description |
| Wallpaper Woes Money Math: Lessons for Life | Students hear a story about a middle-school student who wants to redecorate his bedroom. They measure the classroom wall dimensions, draw a scale model, and incorporate measurements for windows and doors to determine the area that could be covered by wallpaper. Students then hear more about the student's redecorating adventure and learn about expenses, budget constraints, and tradeoffs. |
| Discovering Integer Addition Rules by Hand | In this lesson students will use physical and digital manipulatives to help them discover patterns when adding positive and negative integers. |
Teaching Idea
| Name | Description |
| What's Your Sign: Integer Addition | This video offers a quick and easy way for math students to add numbers with positive and negative signs by modelling with colored stickers. The teacher used red stickers for negative numbers, orange as a neutral, and green for positives in order to give the students a visual learning tool to help tackle the world of integer addition. |