 # Using the State Curriculum: Mathematics, Grade 6  ## 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 whole numbers
###### Assessment limit: Use exponential form with powers of 10 (0 - 100,000)
2. Read, write, and represent integers
###### Assessment limit: Use integers from (-100 to 100)
3. Identify and determine equivalent forms of fractions as decimals, as percents, and as ratios
###### Assessment limit: Use proper fractions with denominators as factors of 100, decimals, percents, or ratios (0 – 1000)
4. Compare and order fractions, decimals alone or mixed together, with and without relational symbols (<, >, =)
###### Assessment limit: Include no more than 4 fractions with denominators with factors of 100 or decimals with up to 2 decimal places (0 – 100)
5. Compare and order integers

### Topic

B. Number Theory

#### Indicator

• 1. Apply number relationships
##### Objective
1. Determine prime factorizations for whole numbers and express them using exponential form

### Topic

C. Number Computation

#### Indicator

• 1. Analyze number relations and compute
##### Objectives
1. Add and subtract fractions and mixed numbers and express answers in simplest form
###### Assessment limit: Use proper fractions and denominators as factors of 60 (0–20)
2. Multiply fractions and mixed numbers and express in simplest form
###### Assessment limit: Use denominators as factors of 24 not including 24 (0 – 20)
3. Multiply decimals
###### Assessment limit: Use a decimal with no more than 3 digits multiplied by a 2-digit decimal (0 – 1000)
4. Divide decimals
###### Assessment limit: Use a decimal with no more than 5 digits divided by a whole number with no more than 2 digits without annexing zeros (0 – 1000)
5. Determine a percent of a whole number
###### Assessment limit: Use 10%, 20%, 25% or 50% of a whole number (0 – 1000)
6. Simplify numeric expressions using the properties of addition and multiplication

#### Indicator

##### Objective
1. Determine the approximate products and quotients of decimals

#### Indicator

• 3. Analyze ratios, proportions, and percents
##### Objectives
1. Represent ratios in a variety of forms
2. Use ratios and unit rates to solve problems

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 