Domains and Critical Areas
Common Core State Standards for Mathematics
K-12th Grade Level Overview
Mathematical Practices (K-12):
1. Make sense of problems and persevere in problem solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Kindergarten Domains
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Counting and Cardinality
Operations and Algebraic Thinking
Number and Operations in Base Ten
Measurement and Data
Geometry
Kindergarten Critical Areas
 Representing and comparing whole numbers, initially with
sets of objects.
 Describing shapes and space.
 More learning time in Kindergarten should be devoted
to number than to other topics.
1st Grade Domains
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Operations and Algebraic Thinking
Number and Operations in Base Ten
Measurement and Data
Geometry
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2nd Grade Domains
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Operations and Algebraic Thinking
Number and Operations in Base Ten
Measurement and Data
Geometry
3rd Grade Domains
Operations and Algebraic Thinking
Number and Operation in Base Ten
Number and Operation: Fractions
Measurement and Data
Geometry
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4 Grade Domains
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Operations and Algebraic Thinking
Number and Operations in Base Ten
Number and Operations: Fractions
Measurement and Data
Geometry
1st Grade Critical Areas
Developing understanding of addition, subtraction, and
strategies for addition and subtraction within 20.
Developing understanding of whole number relationships
and place value, including grouping in tens and ones.
Developing understanding of linear measurement and
measuring lengths as iterating length units.
Reasoning about attributes of, and composing and
decomposing geometric shapes.
2nd Grade Critical Areas
Extending understand of base-ten notation.
Building fluency with addition and subtraction.
Using standard units of measure.
Describing and analyzing shapes.
3rd Grade Critical Areas
Developing understanding of multiplication and division
strategies for multiplication within 100.
Developing understanding of fractions, especially unit
fractions (fractions with numerator 1).
Developing understanding of the structure of rectangular
arrays and of area.
Describing and analyzing two-dimensional shapes.
4th Grade Critical Areas
 Developing understanding and fluency with multi-digit
multiplication, and developing understanding of dividing to
find quotients involving multi-digit dividends.
 Developing understanding of fractions equivalence,
addition and subtraction of fractions with like
denominators, multiplication of fractions by whole
numbers.
 Understanding that geometric figures can be analyzed
and classified based on their properties, such as having
parallel sides, perpendicular sides, particular angle
Florida Department of Education Bureau of Curriculum and Instruction
Handout 2
Domains and Critical Areas
5th Grade Domains
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Operations and Algebraic Thinking
Number and Operations in Base Ten
Number and Operations: Fractions
Measurement and Data
Geometry
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6th Grade Domains
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Ratios and Proportional Relationships
The Number System
Expressions and Equations
Geometry
Statistics and Probability
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7th Grade Domains
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Ratios and Proportional Relationships
The Number System
Expressions and Equations
Geometry
Statistics and Probability
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8th Grade Domains
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The Number System
Expressions and Equations
Functions
Geometry
Statistics and Probability
measures, and symmetry.
5th Grade Critical Areas
Developing fluency with addition and subtraction of
fractions, developing understanding of the multiplication of
fractions and of division of fractions in limited case (unit
fractions divided by whole numbers and whole numbers
divided by unit fractions).
Extending division to 2-digit divisors, integrating decimal
fractions into the place value system and developing
understanding of operations with decimals to hundredths,
and developing fluency with whole number and decimal
operations.
Developing understanding volume.
6th Grade Critical Areas
Connecting ratio and rate to whole number multiplication
and division using concepts of ratio and rate to solve
problems.
Completing understanding of division of fractions and
extending the notation of numbers to the system of
rational numbers which includes negative numbers.
Writing, interpreting, and using expressions and
equations.
Developing understanding of statistical thinking.
7th Grade Critical Areas
Developing understanding of and applying proportional
relationships.
Developing understanding of operations with rational
numbers and working with expressions and linear
equations.
Solving problems involving scale drawings and informal
geometric constructions, and working with two-and threedimensional shapes to solve problems involving area,
surface area, and volume.
Drawing inferences about populations based on samples.
8th Grade Critical Areas
 Formulating and reasoning about expressions and
equations, including modeling an association in bivariate
data with a linear equation, and solving linear equations
and systems of linear equations.
 Grasping the concept of a function and using functions to
describe quantitative relationships.
 Analyzing two-and-three dimensional space and figures
using distance, angle, similarity, and congruence, and
understanding and applying Pythagorean Theorem.
Florida Department of Education Bureau of Curriculum and Instruction
Handout 2
Domains and Critical Areas
Algebra 1 Domains
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The Real Number System
Quantities
Seeing Structure in Expressions
Arithmetic with Polynomials and Rational
Expressions
Creating Equations
Reasoning with Equations and Inequalities
Interpreting Functions
Building Functions
Linear, Quadratic, and Exponential Models
Interpreting Categorical and Quantitative Data
Geometry Domains
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Congruence
Similarity, Right Triangles, and Trigonometry
Circles
Expressing Geometric Properties with Equations
Geometric Measurement and Dimension
Modeling with Geometry
Conditional Probability and the Rules of
Probability
 Using Probability to Make Decisions
Algebra 2 Domains
 The Complex Number System
 Seeing Structure in Expressions
 Arithmetic with Polynomials and Rational
Expressions
 Creating Equations
 Reasoning with Equations and Inequalities
 Interpreting Functions
 Building Functions
 Linear, Quadratic, and Exponential Models
 Trigonometric Functions
 Interpreting Categorical and Quantitative Data
Algebra 1 Critical Areas
 Relationships between Quantities and Reasoning with
Equations; Analyze and explain the process of solving
an equation.
 Linear and Exponential Relationships; Learn function
notation and develop the concept of domain and
range.
 Descriptive Statistics; Learn formal means of
assessing how a model fits (data regression
techniques, graphical representations and goodness
of fit.)
 Expressions and Equations; Create and solve
equations, inequalities, and systems of equations
involving quadratic expressions.
 Quadratic Functions and Modeling; Comparing key
characteristics.
Geometry Critical Areas
 Congruence, Proof, and Constructions; Establish
triangle congruence criteria, based on analyses of
rigid motions and formal constructions.
 Similarity, Proof, and Trigonometry; Build a formal
understanding of similarity.
 Extending to Three Dimensions; extending knowledge
to include informal explanations of circumference,
area and volume formulas.
 Connecting Algebra and Geometry Through
Coordinates; Build on work with the Pythagorean
Theorem to find distances, use a rectangular
coordinate system to verify geometric relationships.
 Circles with and without Coordinates; Prove basic
theorems about circles.
 Application of Probability; use the languages of set
theory to expand the ability to compute and interpret
theoretical and experimental probabilities for
compound events.
Algebra 2 Critical Areas
 Polynomial, Rational, and Radical Relationships;
Develop structural similarities between the system of
polynomials and the system of Integers.
 Trigonometric Functions; Use the coordinate plane to
extend trigonometry to model periodic phenomena.
 Modeling with Functions; Identifying appropriate types
of functions to model a situation, adjust parameters to
improve the model, and compare models by analyzing
appropriateness of fit and making judgments over the
domain over which a model is a good fit.
 Inferences and Conclusions from Data; Identify
different ways of collecting data and the role that
randomness and careful design play in the
conclusions that can be drawn.
Florida Department of Education Bureau of Curriculum and Instruction
Handout 2