Progression of Learning
A.C.1: Arithmetic and algebraic expressions
A.C.1.1: Real numbers
A.C.1.1.a: Radicals (nth root)
Operations with Radical Expressions
Simplifying Radicals - Activity B
A.C.1.2: First-degree inequality in two variables
Linear Inequalities in Two Variables - Activity A
A.C.2: Relation, function and inverse
A.C.2.1: Real function:
A.C.2.1.a: Second-degree polynomial (parameters a and b)
Quadratic Functions
Quadratics in Polynomial Form - Activity A
A.C.2.1.b: Exponential (parameters a and b)
Exponential Functions - Activity A
Logarithmic Functions - Activity A
A.C.2.1.d: Periodic
Sine Function
Translating and Scaling Sine and Cosine Functions - Activity A
A.C.3: System
A.C.3.1: System of first-degree equations in two variables
Modeling Linear Systems - Activity A
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
A.P.1: Manipulating numerical and algebraic expressions
A.P.1.4: Graphing first-degree inequalities in two variables and checking the feasible region
Linear Inequalities in Two Variables - Activity A
A.P.2: Analyzing situations
A.P.2.1: Experimenting with concrete situations; observing, interpreting, describing and graphing them
Disease Spread
Distance-Time Graphs
Food Chain
Greenhouse Effect
Growing Plants
A.P.2.2: Modelling a situation using different registers of representation: verbal, algebraic, graphical and a table of values
A.P.2.2.a: Describing the properties of a function
Disease Spread
Food Chain
Greenhouse Effect
A.P.2.2.c: Interpreting and graphing the inverse of second-degree, exponential and greatest integer functions
Logarithmic Functions - Activity A
A.P.2.3: Solving exponential and second-degree equations and inequalities
Quadratic Inequalities - Activity A
Roots of a Quadratic
A.P.2.4: Comparing situations and distinguishing between families of functions
Quadratic and Absolute Value Functions
A.P.2.5: Solving systems of first-degree equations in two variables
Modeling Linear Systems - Activity A
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A
P.C.1: Conditional Probability
Compound Independent and Dependent Events
Permutations
Permutations and Combinations
P.C.2: Fairness
P.C.2.2: Mathematical expectation
Spin the Big Wheel! (Probability)
P.C.4: Two-variable distribution
P.C.4.1: Linear and other types of correlation
P.C.4.1.a: Correlation coefficient
Correlation
Scatter Plots - Activity A
P.C.4.1.b: Regression line and curves related to the functional models under study
Scatter Plots - Activity A
Solving Using Trend Lines
P.P.1: Interpreting probability data and making decisions concerning the data
P.P.1.1: Representing and calculating conditional probability
P.P.1.1.a: Distinguishing among mutually exclusive, non-mutually exclusive, independent and dependent events
P.P.1.5: Changing the value of parameters or conditions to optimize a gain or a loss, depending on the objectives
Spin the Big Wheel! (Probability)
P.P.2: Analyzing statistical data dealing with one- or two-variable distributions and making decisions concerning the data
P.P.2.1: Organizing and choosing appropriate tools to present and explain the data:
P.P.2.1.a: Constructing and interpreting data tables for one- or two-variable distributions
Describing Data Using Statistics
Exploring Data Using Histograms
Line Plots
Polling: City
Reaction Time 1 (Graphs and Statistics)
Solving Using Trend Lines
P.P.2.1.b: Drawing graphs and scatter plots
P.P.2.2: Interpreting and describing the relationship between two variables
P.P.2.3: Giving a qualitative appraisal of a correlation (strong, moderate, weak, zero) and a quantitative appraisal in the case of a linear correlation
P.P.2.3.a: Approximating the linear correlation coefficient
Correlation
Scatter Plots - Activity A
Solving Using Trend Lines
P.P.2.4: Comparing distributions
P.P.2.5: Describing and critically examining a statistical study
P.P.4: Anticipating (predicting, forecasting) and interpreting statistical or probability results and trends
Populations and Samples
Solving Using Trend Lines
G.C.1: Analytic geometry
G.C.1.1: Distance between two points
G.C.1.3: Straight line
G.C.1.3.a: Equation of a straight line
Direct Variation
Introduction to Functions
Linear Functions
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Using Tables, Rules and Graphs
G.C.1.3.b: Slope
G.C.2: Measurement
G.C.2.1: Metric relations and trigonometric ratios (sine, cosine, tangent) in right triangles
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Ratio
G.P.1: Analyzing situations
G.P.1.3: Segments in different figures
Concurrent Lines, Medians, and Altitudes
Similarity in Right Triangles
G.P.1.4: Side of a triangle
Similarity in Right Triangles
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Ratio
Correlation last revised: 2/12/2010