## Print:

### Number:

### Mathematics:

- Document Date: June 2004
- Grades PK–3
- Grades 3–8

## 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

## 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

**1.**Apply knowledge of rational numbers and place value

##### Objectives

- Read, write, and represent whole numbers
###### Assessment limit: Use exponential notation with bases no more than 12 and exponents no more than 3 in standard form (0 – 1000)

- Express decimals using expanded form
###### Assessment limit: Use decimals with no more than 4 decimal places (0 – 100)

- Determine equivalent forms of rational numbers expressed as fractions, decimal, percents, and ratios
###### Assessment limit: Use positive rational numbers (0 – 100)

- Compare, order, and describe rational numbers with or without relational symbols (<, >, =)
###### Assessment limit: Use no more than 4 fractions with denominators that are factors of 300 that are less than 101 (0-100), decimals with no more than 4 decimal places (0-100), percents (0-100) or integers (-100 to 100)

- Express whole numbers and decimals in scientific notation

### Topic

C. Number Computation

#### Indicator

**1.**Analyze number relations and compute

##### Objectives

- Add, subtract, multiply, and divide integers
###### Assessment limit: Use one operation (-100 to 100)

- Add, subtract, and multiply positive fractions and mixed numbers
###### Assessment limit: Use no more than 2 operations and positive fractions or mixed numbers with denominators as factors of 300 less than 101 (0 – 2000)

- Divide fractions and mixed numbers
- Calculate powers of integers and square roots of perfect square whole numbers
###### Assessment limit: Use exponents of no more than 3 for integers (-10 to 20) or square roots of perfect square whole numbers (0–100)

- Use the laws of exponents to simplify expressions
###### Assessment limit: Use the rules of exponents (power times power or power divided by power) with the same whole number base (0 – 100) and exponents (0 – 10)

- Identify and use the properties of addition and multiplication to simplify expressions
###### Assessment limit: Use the commutative property of addition or multiplication, associative property of addition or multiplication, or the identity property for one or zero with whole numbers (0 – 100)

- Determine percent of a number

#### Indicator

**2.**Estimation

##### Objective

- Determine approximate sums, differences, products, and quotients
###### Assessment limit: Use no more than 3 positive rational numbers (0 – 1000)

#### Indicator

**3.**Analyze ratios, proportions, or percents

##### Objectives

- Determine equivalent ratios
###### Assessment limit: Use denominators as factors of 300 but less than 101 and whole numbers (0-100)

- Determine and use rates, unit rates, and percents as ratios in the context of a problem
###### Assessment limit: Use whole numbers (0-1000)

- Determine rate of increase and decrease, discounts, simple interest, commission, sales tax
- Determine percent of a number

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