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