 # Using the State Curriculum: Mathematics, Grade 5  ## 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

• 1. Apply knowledge of fractions, decimals, and place value
##### Objectives
1. Read, write, or represent fractions or mixed numbers using symbols, models, and words
###### Assessment limit: Use denominators that are factors of 24 and numbers (0 – 200)
2. Read, write, or represent decimals using symbols, words, or models
###### Assessment limit: Use no more than 3 decimal places (0 – 100)
3. Identify and determine equivalent forms of proper fractions
###### Assessment limit: Use denominators that are factors of 100, decimals, or percents (0 – 200)
4. Compare or order fractions with or without using the symbols (<, >, or =)
###### Assessment limit: Use no more than 4 fractions or mixed numbers with denominators that are factors of 100 and numbers (0 – 100)
5. Compare, order, and describe decimals with or without using the symbols (<, >, or =)

### Topic

B. Number Theory

#### Indicator

• 1. Apply number relationships
##### Objectives
1. Identify or describe numbers as prime or composite
###### Assessment limit: Use whole numbers (0 – 100)
2. Identify and use rules of divisibility
###### Assessment limit: Use rules for 2, 3, 5, 9, or 10 and whole numbers (0 - 10,000)
3. Identify the greatest common factor
###### Assessment limit: Use 2 numbers whose GCF is no more than 10 and whole numbers (0 – 100)
4. Identify a common multiple and the least common multiple

### Topic

C. Number Computation

#### Indicator

• 1. Analyze number relations and compute
##### Objectives
1. Multiply whole numbers
###### Assessment limit: Use a 3-digit factor by another factor with no more than 2-digits and whole numbers (0 - 10,000)
2. Divide whole numbers
###### Assessment limit: Use a dividend with no more than a 4-digits by a 2-digit divisor and whole numbers (0 - 9,999)
3. Interpret quotients and remainders mathematically and in the context of a problem
###### Assessment limit: Use dividend with no more than a 3-digits by a 1 or 2 digit divisor and whole numbers (0 – 999)
4. Add and subtract proper fractions and mixed numbers with answers in simplest form
###### Assessment limit: Use denominators as factors of 24 and numbers (0 – 20)
5. Add decimals including money
###### Assessment limit: Use no more than 4 addends and no more than 3 decimal places in each addend and numbers (0 – 1000)
6. Subtract decimals including money
###### Assessment limit: Use a minuend and subtrahend with no more than 3 decimal places and numbers (0 – 1000)
7. Multiply decimals
###### Assessment limit: Use a decimal in monetary notation by a single digit whole number and numbers (0 – 100)
8. Divide decimals by whole numbers

#### Indicator

##### Objectives
1. Determine the approximate sum and difference of decimals
###### Assessment limit: Use no more than 3 addends with no more than 3 decimal places in each addend or the difference of a minuend and subtrahend with no more than 3 decimal places and numbers (0 – 1000)
2. Determine approximate product and quotient of whole numbers
###### Assessment limit: Use a 1-digit factor with the other factor having no more than 3 digits or a dividend having no more than 3 digits and a 1-digit divisor and whole numbers (0 – 5000)
3. Determine the approximate product of decimals
###### Assessment limit: Use a decimal in monetary notation and a single digit whole number (0 – 100)

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 