Grade and Course Level Expectations

A1.N.1: Understand numbers, ways of representing numbers, relationships among numbers and number systems

A1.N.1.A: compare and order rational and irrational numbers, including finding their approximate locations on a number line

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Rational Numbers

A1.N.3: Compute fluently and make reasonable estimates

A1.N.3.E: solve problems involving proportions

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Polling: Neighborhood

Similar Figures - Activity A

Similar Polygons

A1.A.1: Understand patterns, relations and functions

A1.A.1.B: generalize patterns using explicitly or recursively defined functions

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

A1.A.1.C: compare and contrast various forms of representations of patterns

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

A1.A.1.D: understand and compare the properties of linear and nonlinear functions

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

Functions Involving Square Roots

General Form of a Rational Function

Linear Functions

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Point-Slope Form of a Line - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Sine Function

Slope-Intercept Form of a Line - Activity A

Tangent Function

Unit Circle

Using Tables, Rules and Graphs

A1.A.1.E: describe the effects of parameter changes on linear, exponential growth/decay and quadratic functions including intercepts

Exponential Growth and Decay - Activity B

Linear Functions

Point-Slope Form of a Line - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Slope-Intercept Form of a Line - Activity A

A1.A.2: Represent and analyze mathematical situations and structures using algebraic symbols

A1.A.2.A: use symbolic algebra to represent and solve problems that involve linear and quadratic relationships including equations and inequalities

Linear Functions

Quadratic Inequalities - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Solving Equations By Graphing Each Side

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

A1.A.2.B: describe and use algebraic manipulations, including factoring and rules of integer exponents and apply properties of exponents (including order of operations) to simplify expressions

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

A1.A.2.C: use and solve equivalent forms of equations (linear, absolute value, and quadratic)

Modeling One-Step Equations - Activity A

Solving Two-Step Equations

A1.A.2.D: use and solve systems of linear equations or inequalities with 2 variables

Linear Programming - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Special Types of Solutions to Linear Systems

Systems of Linear Inequalities (Slope-intercept form) - Activity A

A1.A.4: Analyze change in various contexts

A1.A.4.A: analyze linear and quadratic functions by investigating rates of change, intercepts and zeros

Direct Variation

Direct and Inverse Variation

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Linear Functions

Point-Slope Form of a Line - Activity A

Polynomials and Linear Factors

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Slope-Intercept Form of a Line - Activity A

A1.G.1: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships

A1.G.1.B: apply geometric properties such as similarity and angle relationship to solve multi-step problems in 2 dimensions

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

A1.G.4: Use visualization, spatial reasoning and geometric modeling to solve problems

A1.G.4.B: draw or use visual models to represent and solve problems

3D and Orthographic Views - Activity A

A1.M.2: Apply appropriate techniques, tools and formulas to determine measurements

A1.M.2.D: 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

A1.D.1: Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them

A1.D.1.A: formulate questions and collect data about a characteristic which include sample spaces and distributions

A1.D.1.C: select and use appropriate graphical representation of data and given one-variable quantitative data, display the distribution and describe its shape

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

A1.D.2: Select and use appropriate statistical methods to analyze data

A1.D.2.A: apply statistical measures of center to solve problems

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

A1.D.2.C: given a scatterplot, determine an equation for a line of best fit

Correlation

Lines of Best Fit Using Least Squares - Activity A

Scatter Plots - Activity A

Solving Using Trend Lines

A1.D.3: Develop and evaluate inferences and predictions that are based on data

A1.D.3.A: make conjectures about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data

Correlation

Scatter Plots - Activity A

Solving Using Trend Lines

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

G.N.1.A: compare and order rational and irrational numbers, including finding their approximate locations on a number line

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Rational Numbers

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

G.N.3.E: solve problems involving proportions

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Polling: Neighborhood

Similar Figures - Activity A

Similar Polygons

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

G.A.1.B: generalize patterns using explicitly or recursively defined functions

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

G.A.1.C: compare and contrast various forms of representations of patterns

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

G.A.4: Analyze change in various contexts

G.A.4.A: analyze linear functions by investigating rates of change and intercepts

Direct Variation

Direct and Inverse Variation

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Linear Functions

Modeling Linear Systems - Activity A

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

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

G.G.1.A: use inductive and deductive reasoning to establish the validity of geometric conjectures, prove theorems and critique arguments made by others

Biconditional Statement

Conditional Statement

Simplifying Trigonometric Expressions

Sum and Difference Identities for Sine and Cosine

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

G.G.2.A: make conjectures and solve problems involving 2-dimensional objects represented with Cartesian coordinates

G.G.3: Apply transformations and use symmetry to analyze mathematical situations

G.G.3.A: use and apply constructions and the coordinate plane to represent translations, reflections, rotations and dilations of objects

Construct Parallel and Perpendicular Lines

Constructing Congruent Segments and Angles

Dilations

Reflections

Rotations, Reflections and Translations

Translations

G.G.3.C: identify types of symmetries of 2- and 3- dimensional figures

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

G.M.2.B: solve problems of angle measure, including those involving triangles or other polygons and of parallel lines cut by a transversal

Investigating Angle Theorems - Activity A

G.M.2.C: determine the surface area, and volume of geometric figures, including cones, spheres, and cylinders

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

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

G.D.1.C: select and use appropriate graphical representation of data and given one-variable quantitative data, display the distribution and describe its shape

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

AII.N.1.A: compare and order rational and irrational numbers, including finding their approximate locations on a number line

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Rational Numbers

AiI.N.3: Compute fluently and make reasonable estimates

AiI.N.3.D: judge the reasonableness of numerical computations and their results, including complex numbers

Points in the Complex Plane - Activity A

AII.N.3.E: solve problems involving proportions

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Polling: Neighborhood

Similar Figures - Activity A

Similar Polygons

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

AII.A.1.B: generalize patterns using explicitly or recursively defined functions

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

AiI.A.1.C: compare and contrast various forms of representations of patterns

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

AII.A.1.D: compare properties of linear, exponential, logarithmic and rational functions

Exponential Functions - Activity A

General Form of a Rational Function

Linear Functions

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Rational Functions

AiI.A.1.E: describe the effects of parameter changes on functions

Exponential Functions - Activity A

Logarithmic Functions: Translating and Scaling

Parabolas - Activity A

Roots of a Quadratic

Translating and Scaling Functions

Using Tables, Rules and Graphs

AiI.A.2.A: use symbolic algebra to represent and solve problems that involve exponential, quadratic and logarithmic relationships

Exponential Functions - Activity A

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

AiI.A.2.C: use and solve equivalent forms of equations and inequalities

Inequalities Involving Absolute Values

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Solving Two-Step Equations

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

AII.A.2.D: use and solve systems of linear and quadratic equations or inequalities with 2 variables

Linear Programming - Activity A

Quadratic Inequalities - Activity A

Systems of Linear Inequalities (Slope-intercept form) - Activity A

AII.A.4.A: analyze exponential and logarithmic functions by investigating rates of change, intercepts and asymptotes

Direct Variation

Direct and Inverse Variation

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Exponential Functions - Activity A

Hyperbola - Activity A

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Modeling Linear Systems - Activity A

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

AiI.G.1.A: use trigonometric relationships with right triangles to determine lengths and angle measures

Cosine Function

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

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

AII.G.3.B: translate, dilate and reflect functions

Absolute Value with Linear Functions - Activity B

Reflections of a Linear Function

Reflections of a Quadratic Function

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

AII.G.4: Use visualization, spatial reasoning and geometric modeling to solve problems

AII.G.4.B: draw or use visual models to represent and solve problems

3D and Orthographic Views - Activity A

AII.M.2.E: use unit analysis to solve problems involving rates, such as speed, density or population density

Density Experiment: Slice and Dice

Density Laboratory

Determining Density via Water Displacement

AiI.D.1.C: select and use appropriate graphical representation of data and given one-variable quantitative data, describe its shape and calculate summary statistics

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

AiI.D.2.A: apply statistical measures of center to solve problems

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

AiI.D.2.C: given a scatterplot, determine a type of function which models the data

Correlation

Scatter Plots - Activity A

Solving Using Trend Lines

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

AiI.D.4: Understand and apply basic concepts of probability

AiI.D.4.B: use and describe the concepts of conditional probability and independent events and how to compute the probability of a compound event

Binomial Probabilities

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

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

IMII.G.1.A: use trigonometric relationships with right triangles to determine lengths and angle measures

Sine and Cosine Ratios - Activity A

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

IMII.G.3.A: use and apply constructions and matrices to represent translations, reflections, rotations, and dilations

Rotations, Reflections and Translations

Correlation last revised: 3/15/2010