Missouri State Standards for Mathematics:

Currently Perma-Bound only has suggested titles for grades K-8 in the Science and Social Studies areas. We are working on expanding this.

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: rote count to 100 and recognize numbers up to 31 (DOK 1; MA5 1.10)

N.1.B. Represent and use rational numbers: recognize 1/2 of a shape (DOK 1; MA5 1.10)

N.1.C. Compose and decompose numbers: use concrete objects to compose and decompose values up to 10 (DOK 2; MA1 1.6)

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

N.3.B. Develop and demonstrate fluency: connect number words (orally) and quantities they represent (DOK 1; MA1 1.10)

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

A.1.A. Recognize and extend patterns: recognize or repeat sequences of sounds or shapes (DOK 2; MA4 1.6)

A.1.B. Create and analyze patterns: create and continue patterns (DOK 2; MA4 1.6)

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

A.3.A. Use mathematical models: model situations that involve whole numbers, using pictures, objects or symbols (DOK 2; MA1 1.6)

MO.G.1. Geometric and Spatial Relationships: Analyze characteristics and properties of two- and three-dimensional shapes and develop mathematical arguments about geometric relationships.

G.1.A. Describe and use geometric relationships: identify and describe 2- and 3-dimensional shapes using physical models (circle, rhombus, rectangle, triangle, sphere, rectangular prism, cylinder, pyramid) that represent shapes in their environment (DOK 2; MA2 1.10)

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: describe, name and interpret relative positions in space (above, below, front, behind) (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: use manipulatives to recognize from different perspectives and orientations models of slides and turns (DOK 2; MA2 1.6)

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

M.1.A. Determine unit of measurement: compare and order objects according to their size and weight (DOK 2; MA2 1.8)

M.1.C. Tell and use units of time: describe passage of time using terms such as today, yesterday, tomorrow (DOK 2; MA2 3.1)

M.1.D. Count and compute money: identify and know the value of a penny, nickel, dime, and quarter (DOK 2; MA1 1.10)

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

M.2.A. Use standard or non-standard measurement: measure objects by comparison of lengths (shorter, same, longer) (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.B. Classify and organize data: sort items according to their attributes (DOK 2; MA2 1.8)

D.1.C. Represent and interpret data: create graphs using physical objects (DOK 2; MA3 1.8)

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 100 (DOK 1; MA5 1.10)

N.1.B. Represent and use rational numbers: recognize 1/2 and 1/4 of a shape (DOK 1; MA5 5)

N.1.C. Compose and decompose numbers: compose or decompose whole numbers up to 20 using multiple strategies such as known facts, doubles and close to doubles, tens, and one place value (DOK 2; MA1 1.6)

N.1.D. Classify and describe numeric relationships: skip count by 2s, 5s and 10s (DOK 1; MA5 1.6)

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

N.2.A. Represent operations: represent/model a given situation involving addition and subtraction of whole numbers using pictures, objects, or symbols (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 or represent the mental strategy used to compute addition and subtraction problems (DOK 2; MA1 3.2)

N.3.B. Develop and demonstrate fluency: use strategies to develop fluency with basic number relationships of addition and subtraction for sums up to 20 (DOK 1; MA1 1.6)

N.3.C. Compute problems: apply and describe the strategy used to solve addition or subtraction problems (DOK 2; MA1 3.2)

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

A.1.A. Recognize and extend patterns: extend patterns of sound, shape, motion or a simple numeric pattern (DOK 2; MA4 1.6)

A.1.B. Create and analyze patterns: describe how simple repeating patterns are generated (DOK 2; 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 addition or subtraction, represent a mathematical situation as an expression or number sentence (DOK 2; MA4 1.10)

A.2.B. Describe and use mathematical manipulation: apply the commutative and associative properties of addition to whole numbers (DOK 2; MA4 1.10)

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

A.3.A. Use mathematical models: model situations that involve the addition of whole numbers, using pictures, objects or symbols (DOK 2; MA1 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: identify, name and describe 2- and 3-dimensional shapes using physical models (circle, triangle, trapezoid, rectangle, rhombus, sphere, rectangular, prism, cylinder, pyramid) (DOK 2; MA2 1.10)

G.1.C. Compose and decompose shapes: use models to compose and decompose 2-dimensional shapes (DOK 2; 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: describe, name and interpret relative positions in space (left, right) (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: use manipulatives to model flips (DOK 2; MA2 1.6)

G.3.D. Use symmetry: recognize shapes that have symmetry (DOK 1; MA2 1.10)

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

M.1.A. Determine unit of measurement: select the appropriate tool for the attribute being measured (size, temperature, time, weight) (DOK 2; MA2 3.1)

M.1.C. Tell and use units of time: tell time to the nearest half hour (DOK 1; MA2 1.10)

M.1.D. Count and compute money: count money to a dollar, including half dollars (DOK 2; MA1 1.10)

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

M.2.A. Use standard or non-standard measurement: use repetition of a single unit to measure something larger than the unit, (e.g. length of book with paper clips) (DOK 1; MA2 1.10)

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: pose questions and gather data about themselves and their surroundings (DOK 3; MA3 1.2)

D.1.B. Classify and organize data: sort and classify items according to their attributes (DOK 3; MA2 1.8)

D.1.C. Represent and interpret data: represent one-to-one correspondence data using pictures and bar graphs (DOK 2; MA3 1.8)

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 1000 (DOK 1; MA5 1.10)

N.1.B. Represent and use rational numbers: recognize unit fractions of a shape (DOK 1; MA5 1.10)

N.1.C. Compose and decompose numbers: compose or decompose numbers by using a variety of strategies, such as using known facts, tens place value or landmark numbers to solve problems (DOK 2; MA1 1.6)

N.1.D. Classify and describe numeric relationships: skip count by multiples of numbers less than 10 (DOK 1; MA5 1.6)

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

N.2.A. Represent operations: represent/model a given situation involving two-digit whole number addition or subtraction (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 or notate the mental strategy used to compute addition or subtraction of whole numbers, including 2-digit numbers (DOK 2; MA1 3.2)

N.3.B. Develop and demonstrate fluency: demonstrate fluency including quick recall with basic number relationships of addition and subtraction for sums up to 20 (DOK 1; MA1 1.6)

N.3.C. Compute problems: apply and describe the strategy used to compute 2-digit addition or subtraction problems with regrouping (DOK 2; MA1 3.2)

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

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

A.1.A. Recognize and extend patterns: describe and extend simple numeric patterns and change from one representation to another (DOK 2; MA4 1.6)

A.1.B. Create and analyze patterns: describe how simple growing patterns are generated (DOK 2; 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 addition or subtraction, represent a mathematical situation as an expression or number sentence (DOK 2; MA4 1.10)

A.2.B. Describe and use mathematical manipulation: solve problems with whole numbers using the commutative and associative properties of addition (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 situations that involve addition and subtraction of whole numbers, using pictures, objects or symbols (DOK 2; MA1 1.6)

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

A.4.A. Analyze change: describe qualitative change, such as students growing taller (DOK 2; 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: describe attributes and parts of 2- and 3-dimensional shapes (circle, triangle, trapezoid, rectangle, rhombus, sphere, rectangular prism, cylinder, pyramid) (DOK 2; MA2 1.10)

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: identify locations with simple relationships on a map (coordinate system) (DOK 1; MA2 3.1)

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

G.3.A. Use transformations on objects: use manipulatives to model slides and turns (DOK 2; MA2 1.6)

G.3.D. Use symmetry: create shapes that have symmetry (DOK 2; MA2 1.10)

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

M.1.A. Determine unit of measurement: select an appropriate unit and tool for the attribute being measured (size, temperature, time, weight) and to the nearest inch, centimeter, degree, hour and pound (DOK 2; MA2 3.1)

M.1.C. Tell and use units of time: tell time to the nearest fourth (quarter) hour (DOK 1; MA2 1.10)

M.1.D. Count and compute money: make change from a dollar (DOK 2; MA1 1.10)

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

M.2.A. Use standard or non-standard measurement: use standard units of measure (cm, inch) and the inverse relationships between the size and number of units (DOK 2; 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: pose questions and gather data about themselves and their surroundings (DOK 3; MA3 1.2)

D.1.B. Classify and organize data: sort and classify items according to their attributes and organize data about the items (DOK 3; MA3 1.8)

D.1.C. Represent and interpret data: represent one-to-many correspondence data using pictures and bar graphs (DOK 2; MA3 1.8)

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 up to 10,000 (DOK 1; MA5 1.10)

N.1.B. Represent and use rational numbers: represents halves, thirds and fourths (DOK 1; 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 including expanded notation (DOK 2; MA1 1.6)

N.1.D. Classify and describe numeric relationships: classify numbers by their characteristics, including odd and even (DOK 1; MA5 1.6)

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

N.2.A. Represent operations: represent/model a given situation involving multiplication and related division using various models including sets, arrays, areas, repeated addition/subtraction, sharing and partitioning (DOK 2; MA1 1.10)

N.2.B. Describe effects of operations: describe the effects of adding and subtracting whole numbers as well as the relationship between the two operations (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: represent a mental strategy used to compute a given multiplication problem up to 9 x 9 (DOK 2; MA1 3.2)

N.3.B. Develop and demonstrate fluency: use strategies to develop fluency with basic number relationships (9 x 9) of multiplication and division (DOK 1; MA1 1.6)

N.3.C. Compute problems: apply and describe the strategy used to compute up to 3-digit addition or subtraction problems (DOK 2; MA1 32)

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

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

A.1.A. Recognize and extend patterns: extend geometric (shapes) and numeric patterns to find the next term (DOK 2; MA4 1.6)

A.1.B. Create and analyze patterns: represent patterns using words, tables or graphs (DOK 2; 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 (DOK 2; MA4 1.10)

A.2.B. Describe and use mathematical manipulation: use the commutative, distributive and associative properties for basic facts of whole numbers (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, including multiplication with objects or drawings (DOK 2; MA4 1.6)

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

A.4.A. Analyze change: describe quantitative change, such as students growing two inches in a year (DOK 2; 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: compare and analyze 2-dimensional shapes by describing their attributes (circle, rectangle, rhombus, trapezoid, triangle) (DOK 2; MA2 1.10)

G.1.C. Compose and decompose shapes: predict the results of putting together and taking apart 2- and 3-dimensional 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: describe location using common language and geometric vocabulary (forward, back, left, right, north, south, east, west) (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: determine if two objects are congruent through a slide, flip or turn (DOK 2; MA2 3.2)

G.3.D. Use symmetry: identify lines of symmetry in polygons (DOK 1; MA2 1.10)

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, justify and use the appropriate unit of measure (linear, time, weight) (DOK 3; MA2 3.1)

M.1.C. Tell and use units of time: tell time to the nearest five minutes (DOK 1; MA2 1.10)

M.1.D. Count and compute money: determine change from $5.00 and add and subtract money values to $5.00 (DOK 2; MA1 1.10)

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

M.2.A. Use standard or non-standard measurement: use a referent for measures to make comparisons and estimates (DOK 2; MA2 1.6)

M.2.C. Apply geometric measurements: determine the perimeter of polygons (DOK 2; MA2 1.10)

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: design investigations to address a given question (DOK 3; MA3 1.2)

D.1.C. Represent and interpret data: read and interpret information from line plots and graphs (bar, line, pictorial) (DOK 2; MA3 1.10)

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

D.2.A. Describe and analyze data: describe the shape of data and analyze it for patterns (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: discuss events related to students' experiences as likely or unlikely (DOK 2; MA3 3.5)

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 100,000 (DOK 1; MA5 1.10)

N.1.B. Represent and use rational numbers: use model benchmarks (0, 1/2 and 1) and equivalent forms to judge the size of fractions (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; MA1 1.6)

N.1.D. Classify and describe numeric relationships: classify and describe numbers by their characteristics, including odd, even, multiples and factors (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 multiplication and related division using various models, including equal intervals on the number line, equal size groups, distributive property, etc. (DOK 2; MA1 1.10)

N.2.B. Describe effects of operations: describe the effects of multiplying and dividing whole numbers as well as the relationship between the two operations (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: represent a mental strategy used to compute a given multiplication problem (up to 2-digit by 2-digit multiple of) (DOK 2; MA1 3.2)

N.3.B. Develop and demonstrate fluency: demonstrate fluency with basic number relationships (12 x 12) of multiplication and related division facts (DOK 1; MA1 1.6)

N.3.C. Compute problems: apply and describe the strategy used to compute a given multiplication of 2-digit by 2-digit numbers and related division facts (DOK 2; MA1 3.2)

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

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

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

A.1.B. Create and analyze patterns: 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 (DOK 2; MA4 1.10)

A.2.B. Describe and use mathematical manipulation: use the commutative, distributive and associative properties of addition and multiplication for multidigit numbers (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, using representations such as graphs, tables or number sentences (DOK 2; MA4 1.6)

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

A.4.A. Analyze change: describe mathematical relationships in terms of constant rates of change (DOK 2; 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: name and identify properties of 1-, 2-, and 3-dimensional shapes and describe the attributes of 2- and 3-dimensional shapes using appropriate geometric vocabulary (rectangular prism, cylinder, pyramid, sphere, cone, parallelism, perpendicularity) (DOK 2; MA2 1.10)

G.1.C. Compose and decompose shapes: describe the results of subdividing, combining and transforming shapes (DOK 2; 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: describe movement using common language and geometric vocabulary (forward, back, left, right, north, south, east, west) (DOK 2; MA2 3.3)

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

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

G.3.D. Use symmetry: create a figure with multiple lines of symmetry and identify the lines of symmetry (DOK 2; MA2 1.10)

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 picture of a prism, identify the shapes of the faces (DOK 1; 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 linear measure including perimeter and (customary metric) (DOK 3; MA2 3.1)

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

M.1.C. Tell and use units of time: tell time to the nearest minute (DOK 1; MA2 1.10)

M.1.D. Count and compute money: determine change from $10.00 and add and subtract money values to $10.00 (DOK 2; MA1 1.10)

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

M.2.A. Use standard or non-standard measurement: select and use benchmarks to estimate measurements (linear, capacity, weight) (DOK 2; MA2 1.6)

M.2.B. Use angle measurement: select and use benchmarks to estimate measurements of 0-, 45-(acute), 90-(right) greater than 90 (obtuse) degree angles (DOK 2; MA2 1.6)

M.2.C. Apply geometric measurements: determine and justify areas of polygons and non-polygonal regions imposed on a rectangular grid (DOK 3; MA2 1.10)

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: collect data using observations, surveys and experiments (DOK 2; MA3 1.2)

D.1.C. Represent and interpret data: create tables or graphs to represent categorical and numerical data (including line plots) (DOK 2; MA3 1.8)

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

D.2.A. Describe and analyze data: describe important features of the data set (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, propose and justify conclusions that are based on the data (DOK 3; MA3 3.5)

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)

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: apply and understand whole numbers to millions, fractions and decimals to the thousandths (including location on a number line) (DOK 1; MA5 1.10)

N.1.B. Represent and use rational numbers: recognize and generate equivalent forms of fractions, decimals and benchmark percents (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)

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

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

N.2.C. Apply properties of operations: apply properties of operations (including order of operations) to positive rational numbers (DOK 2; MA1 1.10)

N.2.D. Apply operations on real and complex numbers: identify square and cubic numbers and determine whole number roots and cubes (DOK 1; MA5 1.6)

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

N.3.C. Compute problems: multiply and divide positive rational numbers (DOK 1; MA1 3.1)

N.3.D. Estimate and justify solutions: estimate and justify the results of multiplication and division of positive rational numbers (DOK 3; MA1 3.2)

N.3.E. Use proportional reasoning: solve problems using ratios and rates (DOK 2; MA1 3.2)

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

A.1.B. Create and analyze patterns: represent and describe patterns with tables, graphs, pictures, symbolic rules or words (DOK 2; MA4 1.6)

A.1.C. Classify objects and representations: compare various forms of representations to identify patterns (DOK 2; MA4 1.6)

A.1.D. Identify and compare functions: identify functions as linear or nonlinear from tables or graphs (DOK 1; MA4 1.6)

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

A.2.A. Represent mathematical situations: use symbolic algebra to represent unknown quantities in expressions or equations and solve one-step equations (DOK 2; MA4 3.3)

A.2.B. Describe and use mathematical manipulation: use the commutative, distributive and associative properties to generate equivalent forms for simple algebraic expressions (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 and solve problems, using multiple representations such as tables, expressions and one-step equations (DOK 2; MA4 3.6)

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

A.4.A. Analyze change: construct and analyze representations to compare 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: identify similar and congruent shapes (DOK 1; MA2 1.10)

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 construct geometric shapes (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: describe the transformation from a given pre-image using the terms reflection/flip, rotation/turn, and translation/slide (DOK 3; MA2 3.3)

G.3.D. Use symmetry: create polygons and designs with rotational symmetry (DOK 2; 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: use spatial visualization to identify isometric representations of mat plans (DOK 2; MA2 3.3)

G.4.B. Draw and use visual models: draw or use visual models to represent and solve problems (DOK 3; 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 and volume (customary and metric) (DOK 3; MA2 3.1)

M.1.C. Tell and use units of time: solve problems involving elapsed time (hours and minutes) (DOK 2; MA2 3.1)

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

M.2.B. Use angle measurement: identify and justify an angle as acute, obtuse, straight, or right (DOK 2; MA2 1.6)

M.2.C. Apply geometric measurements: solve problems involving the area or perimeter of polygons (DOK 2; MA2 1.10)

M.2.E. Use relationships within a measurement system: convert from one unit to another within a system of measurement (mass and weight) (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: formulate questions, design studies and collect data about a characteristic (DOK 3; MA3 1.2)

D.1.C. Represent and interpret data: interpret circle graphs; create and interpret stem-and-leaf plots (DOK 2; MA3 1.8)

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

D.2.A. Describe and analyze data: find the range and measures of center, including median, mode and mean (DOK 2; MA3 1.10)

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

D.3.A. Develop and evaluate inferences: use observations about differences between 2 samples to make conjectures about the populations from which the samples were taken (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: use a model (diagrams, list, sample space, or area model) to illustrate the possible outcomes of an event (DOK 2; MA3 1.10, 3.2)

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: compare and order all positive rational numbers and find their approximate location on a number line (DOK 1; MA5 1.10)

N.1.B. Represent and use rational numbers: recognize and generate equivalent forms of fractions, decimals and percents (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, including exponential notation (DOK 2; MA5 1.6)

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

N.2.B. Describe effects of operations: describe the effects of all operations on rational numbers including integers (DOK 2; MA1 1.10)

N.2.C. Apply properties of operations: apply properties of operations (including order of operations) to positive rational numbers and integers (DOK 2; MA1 1.10)

N.2.D. Apply operations on real and complex numbers: approximate the value of square roots to the nearest whole number (DOK 1; MA5 1.6)

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

N.3.C. Compute problems: apply all operations on rational numbers including integers (DOK 2; MA1 3.1)

N.3.D. Estimate and justify solutions: estimate and justify the results of all operations on rational numbers (DOK 3; MA1 3.2)

N.3.E. Use proportional reasoning: solve problems involving proportions, such as scaling and finding equivalent ratios (DOK 2; MA1 3.2)

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

A.1.B. Create and analyze patterns: analyze patterns represented graphically or numerically with words or symbolic rules, including recursive notation (DOK 3; MA4 1.6)

A.1.C. Classify objects and representations: compare and contrast various forms of representations of patterns (DOK 3; MA4 1.6)

A.1.D. Identify and compare functions: identify functions as linear or nonlinear from tables, graphs or equations (DOK 1; MA4 1.6)

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

A.2.A. Represent mathematical situations: use symbolic algebra to represent unknown quantities in expressions or equations and solve linear equations with one variable (DOK 2; MA4 3.3)

A.2.B. Describe and use mathematical manipulation: use properties to generate equivalent forms for simple algebraic expressions that include positive rationals and integers (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 and solve problems, using multiple representations such as graphs, tables, expressions and linear equations (DOK 2; MA4 1.6,3.6)

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

A.4.A. Analyze change: compare 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: identify the 2-dimensional cross-section of a 3-dimensional shape (DOK 2; MA2 1.10)

G.1.B. Apply geometric relationships: describe relationships between corresponding sides, corresponding angles and corresponding perimeters of similar polygons (DOK 2; 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 geometry to construct and identify geometric shapes in the coordinate plane using their properties (DOK 2; MA2 3.2)

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

G.3.B. Use transformations on functions: describe the relationship between the scale factor and the perimeter of the image using a dilation (contractions-magnifications) (stretching/shrinking) (DOK 2; MA2 3.6)

G.3.D. Use symmetry: determine all lines of symmetry of a polygon (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: use spatial visualizations to identify various 2-dimensional views of isometric drawings (DOK 2; MA2 3.3)

G.4.B. Draw and use visual models: draw or use visual models to represent and solve problems (DOK 3; 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 volume (customary and metric) (DOK 3; MA2 3.1)

M.1.B. Identify equivalent measures: identify the equivalent area and volume measures within a system of measurement (e.g., sq ft. to sq in, m^3 to cm^3) (DOK 1; MA2 1.6)

M.1.C. Tell and use units of time: solve problems involving addition and subtraction of time (hours, minutes and seconds) (DOK 2; MA2 3.1)

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

M.2.B. Use angle measurement: use tools to measure angles to the nearest degree and classify that angle as acute, obtuse, right, straight, of reflex (DOK 1; MA2 3.2)

M.2.C. Apply geometric measurements: solve problems involving circumference and/or area of a circle and surface area/volume of a rectangular or triangular prism, or cylinder (DOK 2; MA2 1.10)

M.2.E. Use relationships within a measurement system: convert from one unit to another within a system of measurement (capacity) and convert square or cubic units within the same system of measurement (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.C. Represent and interpret data: select, create and use appropriate graphical representation of data, including circle graphs, histograms (DOK 2; MA3 1.8)

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

D.2.A. Describe and analyze data: find, use and interpret measures of center and spread, including ranges (DOK 2; MA3 1.10)

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

D.3.A. Develop and evaluate inferences: use observations about differences between samples to make conjectures about the populations from which the samples were taken (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: use models to compute the probability of an event and make conjectures (based on theoretical probability) about the results of experiments (DOK 3; MA3 3.8)

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: compare and order all rational numbers including percents, and find their approximate location on a number line (DOK 1; MA5 1.10)

N.1.B. Represent and use rational numbers: use fractions, decimals and percents to solve problems (DOK 2; MA5 3.3)

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

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

N.2.C. Apply properties of operations: apply properties of operations to all rational numbers including order of operations and inverse operations (DOK 2; MA1 1.10)

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

A.1.B. Create and analyze patterns: analyze patterns represented graphically or numerically with words or symbolic rules, using explicit notation (DOK 2; MA4 1.6)

A.1.C. Classify objects and representations: compare and contrast various forms of representations of patterns (DOK 3; MA4 1.6)

A.1.D. Identify and compare functions: identify functions as linear or nonlinear from tables, graphs or equations (DOK 1; MA4 1.6)

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

A.2.A. Represent mathematical situations: use symbolic algebra to represent and solve problems that involve linear relationships (DOK 3; MA4 3.3)

A.2.B. Describe and use mathematical manipulation: use properties to generate equivalent forms for simple algebraic expressions that include all rationals (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 and solve problems, using multiple representations such as graphs, tables, and linear equations (DOK 2; MA4 3.6)

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

A.4.A. Analyze change: analyze the nature of changes (including slope an intercepts) in quantities in linear relationships (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: describe, classify and generalize relationships between and among types of: a) 2-dimensional objects and b) 3-dimensional objects using their defining properties including Pythagorean Theorem (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 geometry to analyze properties of right triangles and quadrilaterals (including use of the Pythagorean Theorem) (DOK 2; MA2 3.2)

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

G.3.A. Use transformations on objects: reposition shapes under formal transformations such as reflection, rotation and translation (DOK 2; MA2 3.3)

G.3.B. Use transformations on functions: describe the relationship between the scale factor and the area of the image using a dilation (stretching/shrinking) (DOK 2; MA2 3.6)

G.3.D. Use symmetry: identify the number of rotational symmetries of regular polygons (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: create isometric drawings from a given mat plan (DOK 3; MA2 3.3)

G.4.B. Draw and use visual models: draw or use visual models to represent and solve problems (DOK 3; MA2 3.3)

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

M.2.B. Use angle measurement: solve problems of angle measure, including those involving triangles and parallel lines cut by a transversal (DOK 1; MA2 3.2)

M.2.D. Analyze precision: analyze precision and accuracy in measurement situations and determine number of significant digits (DOK 2; MA2 1.7)

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.C. Represent and interpret data: select, create and use appropriate graphical representation of data (including scatter plots) and box plots (box and whiskers) (DOK 2; MA3 1.8)

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

D.2.A. Describe and analyze data: find, use and interpret measures of center, outliers and spread, including range and interquartile range (DOK 2; MA3 1.10)

D.2.B. Compare data representations: compare different representations of the same data and evaluate how well each representation shows important aspects of the data (DOK 3; MA3 1.10)

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

D.3.A. Develop and evaluate inferences: make conjectures about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit (DOK 3; MA3 3.5)

MO.AI. Algebra I

AI.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: compare and order rational and irrational numbers, including finding their approximate locations on a number line (DOK 1; MA5 1.10)

N.1.B. Represent and use rational numbers: use real numbers and various models, drawing, etc. to solve problems (DOK 3; MA5 3.3)

N.1.C. Compose and decompose numbers: use a variety of representations to demonstrate an understanding of very large and very small numbers (DOK 2; MA5 1.6)

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

N.2.B. Describe effects of operations: describe the effects operations, such as multiplication, division, and computing powers and roots on the magnitude of quantities (DOK 2; MA1 1.10)

N.2.D. Apply operations on real and complex numbers: apply operations to real numbers, using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases (DOK 2; MA1 1.10)

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

N.3.D. Estimate and justify solutions: judge the reasonableness of numerical computations and their results (DOK 3; MA1 3.2)

N.3.E. Use proportional reasoning: solve problems involving proportions (DOK 2; MA1 3.2)

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

A.1.B. Create and analyze patterns: generalize patterns using explicitly or recursively defined functions (DOK 2; MA4 1.6)

A.1.C. Classify objects and representations: compare and contrast various forms of representations of patterns (DOK 3; MA4 1.6)

A.1.D. Identify and compare functions: understand and compare the properties of linear and nonlinear functions (DOK 2; MA4 1.6)

A.1.E. Describe the effects of parameter changes: describe the effects of parameter changes on linear, exponential growth/decay and quadratic functions including intercepts (DOK 2; MA4 1.6)

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

A.2.A. Represent mathematical situations: use symbolic algebra to represent and solve problems that involve linear and quadratic relationships including equations and inequalities (DOK 3; MA4 3.3)

A.2.B. Describe and use mathematical manipulation: describe and use algebraic manipulations, including factoring and rules of integer exponents and apply properties of exponents (including order of operations) to simplify expressions (DOK 2; MA4 3.2)

A.2.C. Utilize equivalent forms: use and solve equivalent forms of equations (linear, absolute value, and quadratic) (DOK 2; MA4 3.2)

A.2.D. Utilize systems: use and solve systems of linear equations or inequalities with 2 variables (DOK 2; MA4 1.6)

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

A.3.A. Use mathematical models: identify quantitative relationships and determine the type (s) of functions that might model the situation to solve the problem (DOK 2; MA4 1.6)

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

A.4.A. Analyze change: analyze linear and quadratic functions by investigating rates of change, intercepts and zeros (DOK 3; MA4 1.6)

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

G.1.B. Apply geometric relationships: apply geometric properties such as similarity and angle relationship to solve multi-step problems in 2 dimensions (DOK 2; MA2 3.6)

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

G.4.B. Draw and use visual models: draw or use visual models to represent and solve problems (DOK 3; MA2 3.3)

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

M.2.D. Analyze precision: describe the effects of operations, such as multiplication, division and computing powers and roots on magnitudes of quantities and effects of computation on precision which include the judging of reasonable of numerical computations and their results (DOK 2; MA2 1.7)

M.2.E. Use relationships within a measurement system: use unit analysis to solve problems (DOK 2; MA4 1.6)

AI.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: formulate questions and collect data about a characteristic which include sample spaces and distributions (DOK 3; MA3 1.2)

D.1.C. Represent and interpret data: select and use appropriate graphical representation of data and given one-variable quantitative data, display the distribution and describe its shape (DOK 3; MA6 1.8)

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

D.2.A. Describe and analyze data: apply statistical measures of center to solve problems (DOK 2; MA3 1.10)

D.2.C. Represent data algebraically: given a scatterplot, determine an equation for a line of best fit (DOK 2; MA3 1.6)

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

D.3.A. Develop and evaluate inferences: make conjectures about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data (DOK 3; MA3 3.5)

MO.G. Geometry

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

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

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

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

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

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

G.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: use inductive and deductive reasoning to establish the validity of geometric conjectures, prove theorems and critique arguments made by others (DOK 3; MA2 3.5)

G.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: make conjectures and solve problems involving 2-dimensional objects represented with Cartesian coordinates (DOK 3; MA2 3.3)

G.G.3. Geometric and Spatial Relationships: Specify locations and describe spatial relationships using coordinate geometry and other representational systems.

G.3.A. Use transformations on objects: use and apply constructions and the coordinate plane to represent translations, reflections, rotations and dilations of objects (DOK 2; MA2 1.10)

G.3.D. Use symmetry: identify types of symmetries of 2- and 3-dimensional figures (DOK 2; MA2 1.10)

G.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: draw and use vertex-edge graphs or networks to find optimal solutions and draw representations of 3-dimensional geometric objects from different perspectives (DOK 3; MA2 4.1)

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

M.2.B. Use angle measurement: solve problems of angle measure, including those involving triangles or other polygons and of parallel lines cut by a transversal (DOK 1; MA2 3.1)

M.2.C. Apply geometric measurements: determine the surface area, and volume of geometric figures, including cones, spheres, and cylinders (DOK 2; MA2 1.10)

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

MO.IMII. Integrated Math II

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

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

N.2.C. Apply properties of operations: apply properties of exponents to simplify expressions or solve equations

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

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

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

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

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

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

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

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

G.3.B. Use transformations on functions: translate, dilate and reflect quadratic and exponential functions

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

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

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

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

D.4.A. Apply basic concepts of probability: describe the concepts of sample space and probability distribution

D.4.B. Use and describe compound events: use and describe the concepts of conditional probability and independent events

MO.AII. Algebra II

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

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

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

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

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

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

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

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

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

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

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

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

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

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

MO.IMIII. Integrated Math III

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

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

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

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

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

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

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

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

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

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

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

M.1.B. Identify equivalent measures: compare and contrast between angle and radian measure

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

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

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

D.2.B. Compare data representations: recognize how linear transformations of single-variable data affect shape, center, and spread

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

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