 # Using the State Curriculum: Mathematics, Grade 4  ## State Curriculum Toolkit

Tools aligned to State Curriculum indicators and/or objectives.

• Clarification of Indicator and/or Objective
Explanation and/or examples of indicator and/or objective
• Lesson Seeds
Ideas/seeds for an objective-aligned activity
• 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 using symbols, words, and models
###### Assessment limit: Use whole numbers (0 - 1,000,000)
2. Express whole numbers in expanded form
###### Assessment limit: Use whole numbers (0 - 1,000,000)
3. Identify the place value of a digit in a number
###### Assessment limit: Use whole numbers (0 - 1,000,000)
4. Compare, order, and describe whole numbers

#### Indicator

• 2. Apply knowledge of fractions and decimals
##### Objectives
1. Read, write, and represent proper fractions of a single region using symbols, words, and models
###### Assessment limit: Use denominators 6, 8, and 10
2. Read, write, or represent proper fractions of a set which has the same number of items as the denominator using symbols, words, and models
###### Assessment limit: Use denominators of 6, 8, and 10 with sets of 6, 8, and 10, respectively
3. Find equivalent fractions
4. Read, write, and represent mixed numbers using symbols, words, and models
5. Read, write, and represent decimals using symbols, words and models
###### Assessment limit: Use no more than 2 decimal places and numbers (0-100)
6. Express decimals in expanded form
###### Assessment limit: Use no more than 2 decimal places and numbers (0-100)
7. Compare and order fractions and mixed numbers with or without using the symbols (<, >, or =)
###### Assessment limit: Use like denominators and no more than 3 numbers (0-20)
8. Compare, order, and describe decimals with or without using the symbols (<, >, or =)

#### Indicator

• 3. Apply knowledge of money
##### Objectives
1. Compare the value of sets of mixed currency
###### Assessment limit: Use 2 sets of mixed currency and money (\$0 - \$100)
2. Determine the change from \$100

### Topic

B. Number Theory

#### Indicator

• 1. Apply number relationships
##### Objectives
1. Identify and use divisibility rules
###### Assessment limit: Use the rules for 2, 5, or 10 with whole numbers (0 – 1000)
2. Identify factors
###### Assessment limit: Use whole numbers (0 – 24)
3. Identify multiples

### Topic

C. Number Computation

#### Indicator

• 1. Analyze number relations and compute
##### Objectives
1. ###### Assessment limit: Use up to 3 addends with no more than 4 digits in each addend and whole numbers (0 - 10,000)
2. Subtract whole numbers
###### Assessment limit: Use a minuend and subtrahend with no more than 4 digits in each and whole numbers (0 – 9999)
3. Multiply whole numbers
###### Assessment limit: Use a one 1-digit factor by up to a 3-digit factor using whole numbers (0 – 1000)
4. Divide whole numbers
###### Assessment limit: Use up to a 3-digit dividend by a 1-digit divisor and whole numbers with no remainders (0 - 999)
5. Add and subtract proper fractions and mixed numbers
###### Assessment limit: Use 2 proper fractions with a single digit like denominators, 2 mixed numbers with single digit like denominators, or a whole number and a proper fraction with a single digit denominator and numbers (0 – 20)
6. Add 2 decimals
###### Assessment limit: Use the same number of decimal places but no more than 2 decimal places and no more than 4 digits including monetary notation and numbers (0 – 100)
7. Subtract decimals

#### Indicator

##### Objectives
1. Determine the approximate sum and difference of 2 numbers
###### Assessment limit: Use no more than 2 decimal places in each and numbers (0 – 100)
2. Determine the approximate product or quotient of 2 numbers
###### Assessment limit: Use a 1-digit factor with the other factor having no more than 2-digits or a 1-digit divisor and no more than a 2-digit dividend and whole 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 