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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
