 # Using the State Curriculum: Mathematics, Grade 8  ## State Curriculum Toolkit

Tools aligned to State Curriculum indicators and/or objectives.

• Sample Assessments
Items and annotated student responses as appropriate
• Public Release Items
Actual MSA items and annotated student responses as appropriate
 Algebra Geometry Measurement Statistics Probability Number Processes

## Standard 6.0 Knowledge of Number Relationships and Computation/Arithmetic

Students will describe, represent, or apply numbers or their relationships or will estimate or compute using mental strategies, paper/pencil or technology.

### Topic

A. Knowledge of Number and Place Value

#### Indicator

##### Objectives
1. Read, write, and represent rational numbers
###### Assessment limit: Use exponential notation or scientific notation from (-10,000 to 1,000,000,000)
2. Compare, order, and describe rational numbers with and without relational symbols (<, >, =)

### Topic

C. Number Computation

#### Indicator

• 1. Analyze number relations and compute
##### Objectives
1. Add, subtract, multiply and divide integers
###### Assessment limit: Use one operation (-1000 to 1000)
2. Calculate powers of integers and square roots of perfect square whole numbers
###### Assessment limit: Use powers with bases no more than 12 and exponents no more than 3, or square roots of perfect squares no more than 144
3. Identify and use the laws of exponents to simplify expressions
###### Assessment limit: Use the rules of power times power or power divided by power with the same integer as a base (-20 to 20) and exponents (0-10)
4. Use properties of addition and multiplication to simplify expressions

#### Indicator

##### Objective
1. Estimate the square roots of whole numbers

#### Indicator

• 3. Analyze ratios, proportions, and percents
##### Objectives
1. Determine unit rates
###### Assessment limit: Use positive rational numbers (0 – 100)
2. Determine or use percents, rates of increase and decrease, discount, commission, sales tax, and simple interest in the context of a problem
###### Assessment limit: Use positive rational numbers (0 - 10,000)
3. Solve problems using proportional reasoning
###### Assessment limit: Use positive rational numbers (0 – 1000)

Note: Highlighted assessment limits will be tested in the no calculator section of MSA. In the assessment limit, (0-10) or (-10 to 10) means all numbers in the problem or the answer will fall within the range of 0 to 10 (including endpoints) or -10 to 10 (including endpoints), respectively. All content standards are tested in MSA but not all objectives. Objectives that have an assessment limit are tested on MSA. Objectives without an assessment limit are not tested on MSA.

June 2004 