Academic Standards

12.2.1: Solve theoretical and applied problems using numbers in equivalent forms, radicals, exponents, scientific notation, absolute values, fractions, decimals, and percents, ratios and proportions, order of operations, and properties of real numbers.

Estimating Population Size

Operations with Radical Expressions

Part:Part and Part:Whole Ratios

Polling: Neighborhood

12.3.1: Select and use measuring units, tools, and/or technology and explain the degree of accuracy and precision of measurements.

12.3.1.B: Explain the precision of the measurement tool.

12.3.2: Convert between metric and standard units of measurement, given conversion factors.

12.3.2.B: Change miles/hours to meters/second.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

12.4.1: Calculate perimeter and area of two-dimensional shapes and surface area and volume of three-dimensional shapes.

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Rectangle: Perimeter and Area

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

12.4.2: Create geometric models to describe the physical world.

12.4.2.B: Create scale models.

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

12.4.3: Evaluate characteristics and properties of two-and three-dimensional geometric shapes.

12.4.3.A: Classify and compare attributes of two- and three-dimensional shapes.

Classifying Quadrilaterals - Activity B

Classifying Triangles

Parallelogram Conditions

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Special Quadrilaterals

12.4.3.B: Classify shapes in terms of congruence and similarity and apply these relationships.

Congruence in Right Triangles

Constructing Congruent Segments and Angles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

12.4.3.C: Determine the effects of changing dimensions on perimeter, area, and volume.

Area of Parallelograms - Activity A

Minimize Perimeter

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

12.4.3.D: Investigate and deduce geometric properties using transformations such as translations, rotations, and reflections.

Reflections

Rotations, Reflections and Translations

Translations

12.4.4: Apply coordinate geometry to locate and describe objects algebraically.

12.4.4.A: Graph a geometric shape and determine the slope of the sides.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Slope - Activity B

12.4.5: Apply right triangle trigonometry to find length and angle measures.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Ratio

12.4.6: Apply geometric properties to solve problems.

12.4.6.A: Find missing angles and lengths of geometric shapes using geometric properties. (Properties may include, but are not limited to, similarity, parallel and line-transversal).

Investigating Angle Theorems - Activity A

Similar Figures - Activity A

Similar Polygons

Triangle Angle Sum - Activity A

12.5.2: Write equations and make predictions from sets of data.

12.5.2.A: Display data in a scatter plot, describe its shape, and estimate how close the data comes to fitting an equation.

Correlation

Scatter Plots - Activity A

Solving Using Trend Lines

12.5.2.B: Relate the slope of a regression line to the rate of change for the data set.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Slope - Activity B

12.5.3: Apply theoretical probability to represent problems and make decisions.

12.5.3.A: Explain the likelihood of the next event based on theoretical probabilities.

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

12.5.4: Evaluate how transformations on data affect the measures of central tendency and variability.

12.5.4.A: Describe how adding the same amount to each score changes the mean, median, mode, range, outliers, interquartile points, maximum, and minimum.

Box-and-Whisker Plots

Describing Data Using Statistics

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Line Plots

Mean, Median and Mode

12.5.6: Calculate probabilities of independent events.

12.5.6.A: Calculate probabilities using the fundamental counting principle and permutations.

Permutations

Permutations and Combinations

12.6.1: Graph and interpret algebraic relations and inequalities.

12.6.1.A: Describe a graph by identifying intercepts, slopes, maximum, minimum, increasing, decreasing, parallel, and perpendicular.

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

12.6.1.B: Use families of curves to describe the effect of changing coefficients of an equation.

Cosine Function

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

Parabolas - Activity A

Point-Slope Form of a Line - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Slope-Intercept Form of a Line - Activity A

Translating and Scaling Functions

12.6.2: Solve problems involving equations and inequalities.

12.6.2.A: Use appropriate methods to solve linear and quadratic equations.

Roots of a Quadratic

Solving Equations By Graphing Each Side

12.6.3: Solve problems involving systems of two equations, and systems of two or more inequalities.

12.6.3.A: Solve systems by graphing, substitution, elimination, or matrices.

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

12.6.4: Solve problems using patterns and functions.

12.6.4.A: Apply direct and indirect variations.

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

12.6.4.B: Recognize the properties of families of functions.

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Sine Function

Tangent Function

12.6.4.C: Recognize patterns of exponential growth and decay and their significance to real-life situations.

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Half-life

Correlation last revised: 11/13/2008