Progression of Learning
A.C.1: Algebraic expressions
A.C.1.1: 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: polynomial of degree less than 3, exponential, periodic, step, piecewise
Direct Variation
Introduction to Functions
Linear Functions
Quadratic Functions
Rational Functions
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Using Tables, Rules and Graphs
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: Analyzing situations related to economics (e.g. personal finances), social issues, technical or scientific contexts or everyday life
A.P.1.1: Experimenting with real functions as well as observing, interpreting, describing and graphing them
Distance-Time Graphs
Greenhouse Effect
Simple and Compound Interest
A.P.1.2: Model a situation
A.P.1.2.a: Representing a situation using a table of values, algebraically in some cases or graphically, with or without the help of technology
Determining a Spring Constant
Drug Dosage
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Growing Plants
Half-life
Simple and Compound Interest
Using Tables, Rules and Graphs
A.P.1.2.b: Describing the properties of real functions using a graphical representation: domain, range, intervals within which functions are increasing or decreasing, extrema, sign, x-intercept and y-intercept
Introduction to Functions
Linear Functions
Quadratic Functions
A.P.1.4: Interpolating and extrapolating data associated with a given situation, notable by means of a graph or technology (spreadsheet or graphing calculator)
Determining a Spring Constant
Solving Using Trend Lines
A.P.1.5: Solving system of first-degree equations in two variables (table of values, graphically, comparison, elimination, substitution)
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.2: Fairness
P.C.2.b: Mathematical Expectation
Spin the Big Wheel! (Probability)
P.P.1: Analyzing probability and making decisions related to the data
P.P.1.1: Distinguishing among theoretical, experimental and subjective probability
Probability Simulations
Theoretical and Experimental Probability
P.P.1.3: Approximating and predicting results
Compound Independent Events
Geometric Probability - Activity A
Spin the Big Wheel! (Probability)
P.P.1.4: Calculating and interpreting mathematical expectation
Geometric Probability - Activity A
S.C.2: Two-variable distribution
S.C.2.1: Linear correlation
S.C.2.1.a: Correlation coefficient
S.C.2.1.b: Regression line
Scatter Plots - Activity A
Solving Using Trend Lines
S.P.1: Analyzing situations involving one- or two-variable distributions, using appropriate tools, and making decisions related to these situations
S.P.1.1: Organizing and selecting certain tools to collect data related to given population or sample and to present and account for the data
S.P.1.1.a: Constructing data tables, including tables for two-variable distributions
Exploring Data Using Histograms
Reaction Time 1 (Graphs and Statistics)
Solving Using Trend Lines
S.P.1.1.b: Drawing graphs: stem-and-leaf plots, scatter plots
Scatter Plots - Activity A
Stem-and-Leaf Plots
S.P.1.1.d: Approximating and interpreting the correlation coefficient
S.P.1.1.e: Representing the regression line using a rule or a graph
G.C.1: Analytic geometry
G.C.1.1: Change: distance, slope, point of division
Distance Formula - Activity A
Slope - Activity A
G.C.2: Measurement
G.C.2.1: Relations in triangles: sine, cosine, tangent, sine law, Hero?s formula
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Ratio
G.P.1: Analyzing situations
G.P.1.1: Creating a graphical or algebraic model and representation of a situation, using a line or half-plane
Defining a Line with Two Points
Linear Inequalities in Two Variables - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
G.P.1.1.a: Angles of a triangle
Congruence in Right Triangles
Proving Triangles Congruent
Similar Figures - Activity A
Similarity in Right Triangles
G.P.1.1.b: Lengths
G.P.1.1.b.i: Side of a right triangle, altitude relative to the hypotenuse
Congruence in Right Triangles
Proving Triangles Congruent
Similar Figures - Activity A
Similarity in Right Triangles
Sine and Cosine Ratios - Activity A
Tangent Ratio
G.P.1.1.b.ii: Side of a triangle
Similar Polygons
Similarity in Right Triangles
G.P.1.1.b.iii: Segment located in a Cartesian coordinate system or distance between two points
G.P.1.1.c: Areas
G.P.1.1.c.i: Triangles and quadrilaterals
Area of Parallelograms - Activity A
Area of Parallelograms - Activity B
Correlation last revised: 2/12/2010