What does a student learn in ?

Source: Missouri Missouri Learning Standards

Mastery Learning Standards

The required skills a student should display by the end of Grade 4.

Number Sense and Operations in Fractions

Extend understanding of fraction equivalence and ordering

4.NF.A

Extend understanding of fraction equivalence and ordering. (Limit denominators to 2, 3, 4, 5, 6, 8, 10, 12 and 100.)
Explain and/or illustrate why two fractions are equivalent

4.NF.A.1

Explain and/or illustrate why two fractions are equivalent
Recognize and generate equivalent fractions

4.NF.A.2

Recognize and generate equivalent fractions.
Compare two fractions using the symbols >, = or <

4.NF.A.3

Compare two fractions using the symbols >, = or <, and justify the solution.
Extend understanding of operations on whole numbers to fraction operations

4.NF.B

Extend understanding of operations on whole numbers to fraction operations.
Solve problems involving adding and subtracting fractions and mixed numbers…

4.NF.B.6

Solve problems involving adding and subtracting fractions and mixed numbers with like denominators.
Solve problems involving multiplication of a fraction by a whole number

4.NF.B.8

Solve problems involving multiplication of a fraction by a whole number.
Understand decimal notation for fractions

4.NF.C

Understand decimal notation for fractions, and compare decimal fractions. (Denominators of 10 or 100.)
Understand that fractions and decimals are equivalent representations of the…

4.NF.C.10

Understand that fractions and decimals are equivalent representations of the same quantity.
Compare two decimals to the hundredths place using the symbols >, = or <

4.NF.C.12

Compare two decimals to the hundredths place using the symbols >, = or <, and justify the solution.

Standard	Definition	Code
Extend understanding of fraction equivalence and ordering	Extend understanding of fraction equivalence and ordering. (Limit denominators to 2, 3, 4, 5, 6, 8, 10, 12 and 100.)	4.NF.A
Explain and/or illustrate why two fractions are equivalent	Explain and/or illustrate why two fractions are equivalent	4.NF.A.1
Recognize and generate equivalent fractions	Recognize and generate equivalent fractions.	4.NF.A.2
Compare two fractions using the symbols >, = or <	Compare two fractions using the symbols >, = or <, and justify the solution.	4.NF.A.3
Extend understanding of operations on whole numbers to fraction operations	Extend understanding of operations on whole numbers to fraction operations.	4.NF.B
Solve problems involving adding and subtracting fractions and mixed numbers…	Solve problems involving adding and subtracting fractions and mixed numbers with like denominators.	4.NF.B.6
Solve problems involving multiplication of a fraction by a whole number	Solve problems involving multiplication of a fraction by a whole number.	4.NF.B.8
Understand decimal notation for fractions	Understand decimal notation for fractions, and compare decimal fractions. (Denominators of 10 or 100.)	4.NF.C
Understand that fractions and decimals are equivalent representations of the…	Understand that fractions and decimals are equivalent representations of the same quantity.	4.NF.C.10
Compare two decimals to the hundredths place using the symbols >, = or <	Compare two decimals to the hundredths place using the symbols >, = or <, and justify the solution.	4.NF.C.12

Number Sense and Operations in Fractions

Extend understanding of fraction equivalence and ordering

4.NF.A

Extend understanding of fraction equivalence and ordering. (Limit denominators to 2, 3, 4, 5, 6, 8, 10, 12 and 100.)
Explain and/or illustrate why two fractions are equivalent

4.NF.A.1

Explain and/or illustrate why two fractions are equivalent
Recognize and generate equivalent fractions

4.NF.A.2

Recognize and generate equivalent fractions.
Compare two fractions using the symbols >, = or <

4.NF.A.3

Compare two fractions using the symbols >, = or <, and justify the solution.
Extend understanding of operations on whole numbers to fraction operations

4.NF.B

Extend understanding of operations on whole numbers to fraction operations.
Solve problems involving adding and subtracting fractions and mixed numbers…

4.NF.B.6

Solve problems involving adding and subtracting fractions and mixed numbers with like denominators.
Solve problems involving multiplication of a fraction by a whole number

4.NF.B.8

Solve problems involving multiplication of a fraction by a whole number.
Understand decimal notation for fractions

4.NF.C

Understand decimal notation for fractions, and compare decimal fractions. (Denominators of 10 or 100.)
Understand that fractions and decimals are equivalent representations of the…

4.NF.C.10

Understand that fractions and decimals are equivalent representations of the same quantity.
Compare two decimals to the hundredths place using the symbols >, = or <

4.NF.C.12

Compare two decimals to the hundredths place using the symbols >, = or <, and justify the solution.

Standard	Definition	Code
Extend understanding of fraction equivalence and ordering	Extend understanding of fraction equivalence and ordering. (Limit denominators to 2, 3, 4, 5, 6, 8, 10, 12 and 100.)	4.NF.A
Explain and/or illustrate why two fractions are equivalent	Explain and/or illustrate why two fractions are equivalent	4.NF.A.1
Recognize and generate equivalent fractions	Recognize and generate equivalent fractions.	4.NF.A.2
Compare two fractions using the symbols >, = or <	Compare two fractions using the symbols >, = or <, and justify the solution.	4.NF.A.3
Extend understanding of operations on whole numbers to fraction operations	Extend understanding of operations on whole numbers to fraction operations.	4.NF.B
Solve problems involving adding and subtracting fractions and mixed numbers…	Solve problems involving adding and subtracting fractions and mixed numbers with like denominators.	4.NF.B.6
Solve problems involving multiplication of a fraction by a whole number	Solve problems involving multiplication of a fraction by a whole number.	4.NF.B.8
Understand decimal notation for fractions	Understand decimal notation for fractions, and compare decimal fractions. (Denominators of 10 or 100.)	4.NF.C
Understand that fractions and decimals are equivalent representations of the…	Understand that fractions and decimals are equivalent representations of the same quantity.	4.NF.C.10
Compare two decimals to the hundredths place using the symbols >, = or <	Compare two decimals to the hundredths place using the symbols >, = or <, and justify the solution.	4.NF.C.12

Relationships and Algebraic Thinking

Use the four operations with whole numbers to solve problems

4.RA.A

Use the four operations with whole numbers to solve problems.
Solve multi-step whole number problems involving the four operations and…

4.RA.A.2

Solve multi-step whole number problems involving the four operations and variables and using estimation to interpret the reasonableness of the answer.
Solve whole number division problems involving variables in which remainders…

4.RA.A.3

Solve whole number division problems involving variables in which remainders need to be interpreted, and justify the solution.
Generate and analyze patterns

4.RA.C

Generate and analyze patterns.
Generate a number pattern that follows a given rule

4.RA.C.6

Generate a number pattern that follows a given rule.
Use words or mathematical symbols to express a rule for a given pattern

4.RA.C.7

Use words or mathematical symbols to express a rule for a given pattern.

Standard	Definition	Code
Use the four operations with whole numbers to solve problems	Use the four operations with whole numbers to solve problems.	4.RA.A
Solve multi-step whole number problems involving the four operations and…	Solve multi-step whole number problems involving the four operations and variables and using estimation to interpret the reasonableness of the answer.	4.RA.A.2
Solve whole number division problems involving variables in which remainders…	Solve whole number division problems involving variables in which remainders need to be interpreted, and justify the solution.	4.RA.A.3
Generate and analyze patterns	Generate and analyze patterns.	4.RA.C
Generate a number pattern that follows a given rule	Generate a number pattern that follows a given rule.	4.RA.C.6
Use words or mathematical symbols to express a rule for a given pattern	Use words or mathematical symbols to express a rule for a given pattern.	4.RA.C.7

Relationships and Algebraic Thinking

Use the four operations with whole numbers to solve problems

4.RA.A

Use the four operations with whole numbers to solve problems.
Solve multi-step whole number problems involving the four operations and…

4.RA.A.2

Solve multi-step whole number problems involving the four operations and variables and using estimation to interpret the reasonableness of the answer.
Solve whole number division problems involving variables in which remainders…

4.RA.A.3

Solve whole number division problems involving variables in which remainders need to be interpreted, and justify the solution.
Generate and analyze patterns

4.RA.C

Generate and analyze patterns.
Generate a number pattern that follows a given rule

4.RA.C.6

Generate a number pattern that follows a given rule.
Use words or mathematical symbols to express a rule for a given pattern

4.RA.C.7

Use words or mathematical symbols to express a rule for a given pattern.

Standard	Definition	Code
Use the four operations with whole numbers to solve problems	Use the four operations with whole numbers to solve problems.	4.RA.A
Solve multi-step whole number problems involving the four operations and…	Solve multi-step whole number problems involving the four operations and variables and using estimation to interpret the reasonableness of the answer.	4.RA.A.2
Solve whole number division problems involving variables in which remainders…	Solve whole number division problems involving variables in which remainders need to be interpreted, and justify the solution.	4.RA.A.3
Generate and analyze patterns	Generate and analyze patterns.	4.RA.C
Generate a number pattern that follows a given rule	Generate a number pattern that follows a given rule.	4.RA.C.6
Use words or mathematical symbols to express a rule for a given pattern	Use words or mathematical symbols to express a rule for a given pattern.	4.RA.C.7

Geometry and Measurement

Classify 2-dimensional shapes by properties of their lines and angles

4.GM.A

Classify 2-dimensional shapes by properties of their lines and angles.
Classify two-dimensional shapes by their sides and/or angles

4.GM.A.2

Classify two-dimensional shapes by their sides and/or angles.
Understand the concepts of angle and measure angles

4.GM.B

Understand the concepts of angle and measure angles.
Identify and estimate angles and their measure

4.GM.B.4

Identify and estimate angles and their measure.
Solve problems involving measurement and conversion of measurements from…

4.GM.C

Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
Use the four operations to solve problems involving distances, intervals of…

4.GM.C.7

Use the four operations to solve problems involving distances, intervals of time, liquid volume, weight of objects and money.
Apply the area and perimeter formulas for rectangles to solve problems

4.GM.C.8

Apply the area and perimeter formulas for rectangles to solve problems.

Standard	Definition	Code
Classify 2-dimensional shapes by properties of their lines and angles	Classify 2-dimensional shapes by properties of their lines and angles.	4.GM.A
Classify two-dimensional shapes by their sides and/or angles	Classify two-dimensional shapes by their sides and/or angles.	4.GM.A.2
Understand the concepts of angle and measure angles	Understand the concepts of angle and measure angles.	4.GM.B
Identify and estimate angles and their measure	Identify and estimate angles and their measure.	4.GM.B.4
Solve problems involving measurement and conversion of measurements from…	Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.	4.GM.C
Use the four operations to solve problems involving distances, intervals of…	Use the four operations to solve problems involving distances, intervals of time, liquid volume, weight of objects and money.	4.GM.C.7
Apply the area and perimeter formulas for rectangles to solve problems	Apply the area and perimeter formulas for rectangles to solve problems.	4.GM.C.8

Geometry and Measurement

Classify 2-dimensional shapes by properties of their lines and angles

4.GM.A

Classify 2-dimensional shapes by properties of their lines and angles.
Classify two-dimensional shapes by their sides and/or angles

4.GM.A.2

Classify two-dimensional shapes by their sides and/or angles.
Understand the concepts of angle and measure angles

4.GM.B

Understand the concepts of angle and measure angles.
Identify and estimate angles and their measure

4.GM.B.4

Identify and estimate angles and their measure.
Solve problems involving measurement and conversion of measurements from…

4.GM.C

Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
Use the four operations to solve problems involving distances, intervals of…

4.GM.C.7

Use the four operations to solve problems involving distances, intervals of time, liquid volume, weight of objects and money.
Apply the area and perimeter formulas for rectangles to solve problems

4.GM.C.8

Apply the area and perimeter formulas for rectangles to solve problems.

Standard	Definition	Code
Classify 2-dimensional shapes by properties of their lines and angles	Classify 2-dimensional shapes by properties of their lines and angles.	4.GM.A
Classify two-dimensional shapes by their sides and/or angles	Classify two-dimensional shapes by their sides and/or angles.	4.GM.A.2
Understand the concepts of angle and measure angles	Understand the concepts of angle and measure angles.	4.GM.B
Identify and estimate angles and their measure	Identify and estimate angles and their measure.	4.GM.B.4
Solve problems involving measurement and conversion of measurements from…	Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.	4.GM.C
Use the four operations to solve problems involving distances, intervals of…	Use the four operations to solve problems involving distances, intervals of time, liquid volume, weight of objects and money.	4.GM.C.7
Apply the area and perimeter formulas for rectangles to solve problems	Apply the area and perimeter formulas for rectangles to solve problems.	4.GM.C.8

Data and Statistics

Represent and analyze data

4.DS.A

Represent and analyze data.
Analyze the data in a frequency table, line plot, bar graph or picture graph

4.DS.A.3

Analyze the data in a frequency table, line plot, bar graph or picture graph.

Standard	Definition	Code
Represent and analyze data	Represent and analyze data.	4.DS.A
Analyze the data in a frequency table, line plot, bar graph or picture graph	Analyze the data in a frequency table, line plot, bar graph or picture graph.	4.DS.A.3

Data and Statistics

Represent and analyze data

4.DS.A

Represent and analyze data.
Analyze the data in a frequency table, line plot, bar graph or picture graph

4.DS.A.3

Analyze the data in a frequency table, line plot, bar graph or picture graph.

Standard	Definition	Code
Represent and analyze data	Represent and analyze data.	4.DS.A
Analyze the data in a frequency table, line plot, bar graph or picture graph	Analyze the data in a frequency table, line plot, bar graph or picture graph.	4.DS.A.3