Mr. Albright's Web

Math 2 (682) Course Outline

**1. Marvelous Matrices (Matrix
Operations)**

Organize and interpret data using matrices, use matrices in business applications,
add and subtract two matrices, multiply a matrix by a scalar, multiply two
matrices, and interpret the meaning of the elements within a product matrix.

2. A New Angle on an Old Pyramid (Pythagorean Theorem and right triangle trigonometry)

Use similarity to determine unknown measures in triangles, use the Pythagorean
Theorem and its converse to solve right-triangle problems, use technology
to develop a table of trigonometric values, develop and apply the sine, cosine,
and tangent ratios, and develop and apply the inverses of sine, cosine, and
tangent.

**3. When to Deviate from a Mean
Task (Measures of Central Tendency)**

Create a frequency table from raw data, interpret data displayed in histograms,
interpret data displayed in pie charts, interpret data displayed in stem-and-leaf
plots, interpret data displayed in box-and-whiskers plots, find measures of
central tendency, determine mean absolute deviation, and determine standard
deviation.

**4. What are My Child’s Chances
(Probability)**

Collect data and calculate experimental probabilities, use Punnet squares
and tree diagrams to determine sample spaces, determine the theoretical probabilities
of events, compare experimental probabilities and theoretical probabilities,
investigate formulas for determining the probability of two or more events,
identify complementary, independent, dependent and mutually exclusive events,
and simulate a situation involving independent events.

**5. There’s No Place Like
Home (Volume and Surface Area)**

Determine the areas of regular polygons and circles, determine the surface
areas and volumes of prisms, pyramids, cylinders and cones, calculate the
surface areas and volumes of spheres, and identify a circle as the limiting
shape for its inscribed regular polygons, a cylinder as the limiting shape
for its inscribed regular prisms and a cone as the limiting shape for its
inscribed regular pyramids.

**6. Making Concessions (Linear
Programming and Solving Systems of Equations)**

Determine constraints for linear programming problems, write objective functions,
interpret the meaning of points in a feasible region, find the corner points
of a feasible region, develop the corner principle for optimization, find
solutions to systems of inequalities in two variables, solve systems of equations
in two and three variables graphically, algebraically (by substitution) and
by using matrices, and use linear programming to make decisions involving
the buying and selling of goods.

**7. Crazy Cartoons (Transformational
Geometry)**

Use the properties of similar figures, calculate distances between points
in the Cartesian Plane, explore the geometric relationships in perspective
drawings, dilations centered at the origin, translations, rotations about
the origin, reflections and composite transformations, write matrices for
dilations centered at the origin, translations, rotations about the origin
and reflections, and use matrix equations to transform geometric figures on
the Cartesian Plane.

**8. Hurry! Hurry! Step Right Up!
(Geometric Probability)**

Use geometric models for determining probability, use expected value to determine
fair games, explore probabilities of multistage experiments, examine the difference
between independent and dependent events, and explore conditional probability.

**9. Atomic Clocks are Ticking (Negative
and Fractional Exponents)**

Develop models of exponential decay, examine the relationship between negative
and positive exponents, use equations containing negative exponents as mathematical
models, examine the relationship between rational exponents and roots, and
develop properties of exponents.

**10. Traditional Design (Geometric
Properties)**

Use paper-folding constructions to examine angle bisectors, perpendicular
lines, parallel lines, and midpoints, explore properties of angles formed
by parallel lines and a transversal, explore geometric rep tiles, identify
relationships between tangents and secants, examine properties of parallelograms
(specifically rhombi), and examine similar triangles created by dilations.

**11. If the Shoe Fits… (Linear
Models)**

Use the sum of the absolute values of the residuals to compare how well linear
models fit a set of data, model data using the median-median line, use the
least-squares method to find a linear regression equation, graph and analyze
residual plots.

**12. Take It to the Limit (Sequences
and Series)**

Identify sequences that are arithmetic, geometric or neither, develop formulas
for finite arithmetic and geometric series, develop a formula for certain
infinite geometric series, and explore limits graphically and geometrically.

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**Level 1
|Level II
|Level IV |Rubrics |Projects**