Missouri State Standards for Mathematics: Grade 10

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.