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