Model Academic Standards

B.12.1: Use complex counting procedures such as union and intersection of sets and arrangements (permutations and combinations) to solve problems

Binomial Probabilities

Permutations

Permutations and Combinations

B.12.2: Compare real numbers using

B.12.2.a: order relations (>,<) and transitivity

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Rational Numbers

B.12.2.d: ratios, proportions, percents, rates of change

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Part:Part and Part:Whole Ratios

Polling: Neighborhood

C.12.1: Identify, describe, and analyze properties of figures, relationships among figures, and relationships among their parts by

C.12.1.c: using appropriate transformations (e.g., translations, rotations, reflections, enlargements)

Reflections

Rotations, Reflections and Translations

Translations

C.12.1.d: using reason and logic

Biconditional Statement

Conditional Statement

C.12.4: Use the two-dimensional rectangular coordinate system and algebraic procedures to describe and characterize geometric properties and relationships such as slope, intercepts, parallelism, and perpendicularity

C.12.5: Identify and demonstrate an understanding of the three ratios used in right-triangle trigonometry (sine, cosine, tangent)

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Ratio

D.12.1: Identify, describe, and use derived attributes (e.g., density, speed, acceleration, pressure) to represent and solve problem situations

Density Experiment: Slice and Dice

Density Laboratory

Density via Comparison

Determining Density via Water Displacement

Inclined Plane - Sliding Objects

D.12.2: Select and use tools with appropriate degree of precision to determine measurements directly within specified degrees of accuracy and error (tolerance)

D.12.3: Determine measurements indirectly, using

D.12.3.b: proportional reasoning, including those involving squaring and cubing (e.g., reasoning that areas of circles are proportional to the squares of their radii)

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Perimeters and Areas of Similar Figures

Polling: Neighborhood

Similar Figures - Activity A

Similar Polygons

D.12.3.d: formulas in applications (e.g., for compound interest, distance formula)

Distance Formula - Activity A

Simple and Compound Interest

D.12.3.e: geometric formulas to derive lengths, areas, or volumes of shapes and objects (e.g., cones, parallelograms, cylinders, pyramids)

Area of Parallelograms - Activity A

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Rectangle: Perimeter and Area

D.12.3.f: geometric relationships and properties of circles and polygons (e.g., size of central angles, area of a sector of a circle)

Chords and Arcs

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

E.12.1: Work with data in the context of real-world situations by

E.12.1.b: designing a data collection plan that considers random sampling, control groups, the role of assumptions, etc.

E.12.2: Organize and display data from statistical investigations using

E.12.2.a: frequency distributions

Describing Data Using Statistics

Line Plots

Populations and Samples

E.12.2.b: percentiles, quartiles, deciles

E.12.3: Interpret and analyze information from organized and displayed data when given

E.12.3.c: measures of correlation

Correlation

Solving Using Trend Lines

E.12.5: Determine the likelihood of occurrence of complex events by

E.12.5.a: using a variety of strategies (e.g., combinations) to identify possible outcomes

Binomial Probabilities

Permutations and Combinations

E.12.5.b: conducting an experiment

Geometric Probability - Activity A

Probability Simulations

E.12.5.c: designing and conducting simulations

E.12.5.d: applying theoretical probability

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

F.12.1: Analyze and generalize patterns of change (e.g., direct and inverse variation) and numerical sequences, and then represent them with algebraic expressions and equations

Arithmetic Sequences

Arithmetic and Geometric Sequences

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

Geometric Sequences

F.12.2: Use mathematical functions (e.g., linear, exponential, quadratic, power) in a variety of ways, including

F.12.2.a: recognizing that a variety of mathematical and real-world phenomena can be modeled by the same type of function

Exponential Functions - Activity A

Linear Functions

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

F.12.2.c: describing the relationships among variable quantities in a problem

Exponential Functions - Activity A

Linear Functions

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Using Algebraic Equations

F.12.2.d: using appropriate technology to interpret properties of their graphical representations (e.g., intercepts, slopes, rates of change, changes in rates of change, maximum, minimum)

Defining a Line with Two Points

Direct Variation

Direct and Inverse Variation

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Modeling Linear Systems - Activity A

Parabolas - Activity A

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

F.12.3: Solve linear and quadratic equations, linear inequalities, and systems of linear equations and inequalities

F.12.3.a: numerically

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 Linear Systems by Graphing

Solving Two-Step Equations

F.12.3.b: graphically, including use of appropriate technology

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

F.12.3.c: symbolically, including use of the quadratic formula

Linear Functions

Quadratic Inequalities - Activity A

Roots of a Quadratic

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Solving Linear Systems by Graphing

Correlation last revised: 11/13/2008