Academic Standards
II.A.1: Represent and compare rational and irrational numbers symbolically and on a number line.
Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Rational Numbers
II.B.3: Recognize the impact of units such as degrees and radians on calculations.
II.B.6: Understand that use of a calculator requires appropriate mathematical reasoning and does not replace the need for mental computation.
Biconditional Statement
Conditional Statement
III.A.1: Know the numeric, graphic and symbolic properties of linear, step, absolute value and quadratic functions. Graphic properties may include rates of change, intercepts, maxima and minima.
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
III.A.2: Model exponential growth and decay, numerically, graphically and symbolically, using exponential functions with integer inputs.
Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Half-life
Simple and Compound Interest
III.A.3: Analyze the effects of coefficient changes on linear and quadratic functions and their graphs.
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
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
III.A.5: Distinguish functions from other relations using graphic and symbolic methods.
Introduction to Functions
Linear Functions
III.B.2: Understand the relationship between absolute value and distance on the number line and graph simple expressions involving absolute value such as, |x - 3| = 6 or |x + 2| < 5.
Defining a Line with Two Points
Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Linear Programming - Activity A
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Systems of Linear Inequalities (Slope-intercept form) - Activity A
III.B.3: Find equations of a line given two points on the line, a point and the slope of the line or the slope and the y-intercept of the line.
Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope - Activity B
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
III.B.4: Translate among equivalent forms of linear equations and inequalities.
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
III.B.5: Use a variety of models such as equations, inequalities, algebraic formulas, written statements, tables and graphs or spreadsheets to represent functions and patterns in real-world and mathematical problems.
Exponential Functions - Activity A
Introduction to Functions
Linear Functions
Logarithmic Functions: Translating and Scaling
III.B.6: Apply the laws of exponents to perform operations on expressions with integer exponents.
Dividing Exponential Expressions
Exponents and Power Rules
III.B.7: Solve linear equations and inequalities in one variable with numeric, graphic and symbolic methods.
Inequalities Involving Absolute Values
Linear Programming - Activity A
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Solving Two-Step Equations
Systems of Linear Inequalities (Slope-intercept form) - Activity A
III.B.8: Find real solutions to quadratic equations in one variable with numeric, graphic and symbolic methods.
III.B.11: Solve systems of two linear equations and inequalities with two variables using numeric, graphic and symbolic methods.
Linear Programming - Activity A
Modeling Linear Systems - 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
III.B.12: Understand how slopes can be used to determine whether lines are parallel or perpendicular. Given a line and a point not on the line, find the equations for the lines passing through that point and parallel or perpendicular to the given line.
Point-Slope Form of a Line - Activity A
Slope - Activity B
IV.A.1: Construct and analyze circle graphs, bar graphs, histograms, box-and-whisker plots, scatter plots and tables, and demonstrate the strengths and weaknesses of each format by choosing appropriately among them for a given situation.
Box-and-Whisker Plots
Correlation
Histograms
Populations and Samples
Scatter Plots - Activity A
Solving Using Trend Lines
IV.A.2: Use measures of central tendency and variability, such as, mean, median, maximum, minimum, range, standard deviation, quartile and percentile, to describe, compare and draw conclusions about sets of data.
Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
IV.A.3: Determine an approximate best-fit line from a given scatter plot and use the line to draw conclusions.
Correlation
Lines of Best Fit Using Least Squares - Activity A
Solving Using Trend Lines
IV.A.5: Understand the relationship between correlation and causation.
Correlation
Solving Using Trend Lines
IV.B.1: Select and apply appropriate counting procedures to solve real-world and mathematical problems, including probability problems.
IV.B.2: Use area, trees, unions and intersections to calculate probabilities and relate the results to mutual exclusiveness, independence and conditional probabilities, in real-world and mathematical problems.
Binomial Probabilities
Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events
Permutations
Permutations and Combinations
IV.B.3: Use probability models, including area and binomial models, in real-world and mathematical problems.
IV.B.5: Know the effect of sample size on experimental and simulation probabilities.
Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Polling: City
Probability Simulations
Theoretical and Experimental Probability
IV.B.6: Use a variety of experimental, simulation and theoretical methods to calculate probabilities.
Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Polling: City
Probability Simulations
Theoretical and Experimental Probability
V.A.1: Use models and visualization to understand and represent three-dimensional objects and their cross sections from different perspectives.
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
V.B.1: Know and use theorems about triangles and parallel lines in elementary geometry to justify facts about various geometrical figures and solve real-world and mathematical problems. These theorems include criteria for two triangles to be congruent or similar and facts about parallel lines cut by a transversal.
Congruence in Right Triangles
Investigating Angle Theorems - Activity A
Proving Triangles Congruent
V.B.2: Know and use theorems about circles to justify geometrical facts and solve real-world and mathematical problems. These theorems include the relationships involving tangent lines and radii, the relationship between inscribed and central angles and the relationship between the measure of a central angle and arc length.
Chords and Arcs
Inscribing Angles
V.B.3: Know and use properties of two- and three-dimensional figures to solve real-world and mathematical problems such as: finding area, perimeter, volume and surface area; applying direct or indirect methods of measurement; the Pythagorean theorem and its converse; and properties of 45o-45o-90o and 30o-60o-90o triangles.
Classifying Quadrilaterals - Activity B
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
Special Quadrilaterals
Surface and Lateral Area of Prisms and Cylinders
Triangle Angle Sum - Activity A
V.B.4: Apply the basic concepts of right triangle trigonometry including sine, cosine and tangent to solve real-world and mathematical problems.
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Ratio
V.B.5: Use coordinate geometry to represent and examine geometric concepts such as the distance between two points, the midpoint of a line segment, the slope of a line and the slopes of parallel and perpendicular lines.
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Slope - Activity B
V.B.6: Use numeric, graphic and symbolic representations of transformations such as reflections, translations and change of scale in one, two and three dimensions to solve real-world and mathematical problems.
Dilations
Reflections
Rotations, Reflections and Translations
Translations
V.B.7: Perform basic constructions with a straightedge and compass.
Construct Parallel and Perpendicular Lines
Constructing Congruent Segments and Angles
Correlation last revised: 10/24/2008