Missouri State Standards for Mathematics: Grade 5

MO.N.1. Number and Operations: Understand numbers, ways of representing numbers, relationships among numbers and number systems.

N.1.A. Read, write and compare numbers: read, write and compare whole numbers less than 1,000,000, unit fractions and decimals to hundredths (including location on the number line) (DOK 1; MA5 1.10)

N.1.B. Represent and use rational numbers: recognize and generate equivalent forms of commonly used fractions and decimals (DOK 2; MA5 1.10)

N.1.C. Compose and decompose numbers: recognize equivalent representations for the same number and generate them by decomposing and composing numbers (DOK 2; MA5 1.6)

N.1.D. Classify and describe numeric relationships: describe numbers according to their characteristics, including whole number common factors and multiples, prime or composite, and square numbers (DOK 2; MA5 1.10)

MO.N.2. Number and Operations: Understand meanings of operations and how they relate to one another.

N.2.A. Represent operations: represent and recognize division using various models, including quotative and partitive (DOK 2; MA1 1.10)

N.2.B. Describe effects of operations: describe the effects of addition and subtraction on fractions and decimals (DOK 2; MA1 1.10)

MO.N.3. Number and Operations: Compute fluently and make reasonable estimates.

N.3.A. Describe or represent mental strategies: describe a mental strategy used to compute a given division problem, where the quotient is a multiple of 10 and the divisor is a 1-digit number (e.g., 350/7) (DOK 2; MA1 3.2)

N.3.B. Develop and demonstrate fluency: demonstrate fluency with efficient procedures for adding and subtracting decimals and fractions (with unlike denominators) and division of whole numbers (DOK 1; MA1 1.6)

N.3.C. Compute problems: apply and describe the strategy used to compute a division problem up to a 3-digit by 2-digit and addition and subtraction of fractions and decimals (DOK 2; MA1 3.2)

N.3.D. Estimate and justify solutions: estimate and justify products and quotients of whole numbers and sums of differences of decimals and fractions (DOK 3; MA1 3.2)

MO.A.1. Algebraic Relationships: Understand patterns, relations and functions.

A.1.A. Recognize and extend patterns: make and describe generalizations about geometric and numeric patterns (DOK 2; MA4 1.6)

A.1.B. Create and analyze patterns: represent and analyze patterns using words, tables and graphs (DOK 3; MA4 1.6)

MO.A.2. Algebraic Relationships: Represent and analyze mathematical situations and structures using algebraic symbols.

A.2.A. Represent mathematical situations: using all operations, represent a mathematical situation as an expression or number sentence using a letter or symbol (DOK 2; MA4 1.10)

A.2.B. Describe and use mathematical manipulation: use the commutative, distributive and associative properties for fractions and decimals (DOK 2; MA4 3.2)

MO.A.3. Algebraic Relationships: Use mathematical models to represent and understand quantitative relationships.

A.3.A. Use mathematical models: model problem situations and draw conclusions, using representations such as graphs, tables or number sentence (DOK 3; MA4 1.6)

MO.A.4. Algebraic Relationships: Analyze change in various contexts.

A.4.A. Analyze change: identify, model and describe situations with constant or varying rates of change (DOK 3; MA4 1.6)

MO.G.1. Geometric and Spatial Relationships: Specify locations and describe spatial relationships using coordinate geometry and other representational systems.

G.1.A. Describe and use geometric relationships: analyze and classify 2- and 3-dimensional shapes by describing the attributes (DOK 2; MA2 1.10)

G.1.C. Compose and decompose shapes: predict and justify the results of subdividing, combining and transforming shapes (DOK 3; MA2 1.6)

MO.G.2. Geometric and Spatial Relationships: Specify locations and describe spatial relationships using coordinate geometry and other representational systems.

G.2.A. Use coordinate systems: use coordinate systems to specify locations, describe paths and find the distance between points along horizontal and vertical lines (DOK 2; MA2 1.10)

MO.G.3. Geometric and Spatial Relationships: Apply transformations and use symmetry to analyze mathematical situations.

G.3.A. Use transformations on objects: predict, draw and describe the results of sliding/translating, flipping/reflecting or turning/rotating around a center point of a polygon (DOK 3; MA2 3.6)

G.3.D. Use symmetry: identify polygons and designs with rotational symmetry (DOK 1; MA2 1.6)

MO.G.4. Geometric and Spatial Relationships: Use visualization spatial reasoning and geometric modeling to solve problems.

G.4.A. Recognize and draw three-dimensional representations: given the net of a prism or cylinder, identify the 3-dimensional shape (DOK 2; MA2 3.3)

MO.M.1. Measurement: Understand measurable attributes of objects and the units, systems and processes of measurement.

M.1.A. Determine unit of measurement: identify and justify the unit of measure for area (customary and metric) (DOK 3; MA2 3.1)

M.1.B. Identify equivalent measures: identify the equivalent weights and equivalent capacities within a system of measurement (DOK 1; MA2 1.6)

MO.M.2. Measurement: Apply appropriate techniques, tools and formulas to determine measurements.

M.2.C. Apply geometric measurements: determine volume by finding the total number of the same size units needed to fill a space without gaps or overlaps (DOK 2; MA2 1.10)

M.2.E. Use relationships within a measurement system: convert from one unit to another within a system of linear measurement (customary and metric) (DOK 1; MA2 1.6)

MO.D.1. Data and Probability: Formulate questions that can be dressed with data and collect, organize, and display relevant data to answer them

D.1.A. Formulate questions: evaluate data collection methods (DOK 3; MA3 1.2)

D.1.C. Represent and interpret data: describe methods to collect, organize and represent categorical and numerical data (DOK 2; MA3 1.2)

MO.D.2. Data and Probability: Select and use appropriate statistical methods to analyze data.

D.2.A. Describe and analyze data: compare related data sets (DOK 2; MA3 1.6)

MO.D.3. Data and Probability: Develop and evaluate inferences and predictions that are based on data.

D.3.A. Develop and evaluate inferences: given a set of data, make and justify predictions (DOK 3; MA3 3.5)

MO.D.4. Data and Probability: Understand and apply basic concepts of probability.

D.4.A. Apply basic concepts of probability: describe the degree of likelihood of events using such words as certain, equally likely and impossible (DOK 2; MA3 1.10)