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Math 1 (681) Course Outline

**1. Linear Equations**

Display data on a graphing utility, scatterplots and line graphs, ratio and
slope, slope as a rate of change, parallel lines, linear equations in slope-intercept
form and two-point form, domain and range, graphic solution of systems of
linear equations and rewriting formulas.

**2. Areas, Tessellations, and Nets of Solids**

Determine nets for three-dimensional solids, surface area of solids, tessellate
polygons, find the area of regular polygons, and calculate waste created by
a template.

**3. Volumes and Linear Models**

Volumes of triangular, rectangular, and trapezoidal prisms, estimate the volumes
of three dimensional solids, converting rates to different units, construct
and interpret graphs, use linear models, determine rates of change, examine
residuals and use them to evaluate models.

**4. Exponential Growth**

Develop and use a mathematical model for population growth, determine the
growth rate of a population, graph and interpret an exponential function in
the form y = abx.

**5. Areas, volumes, Direct and Inverse Proportions**

Areas of irregularly shaped figures, volume of cylinders and prisms, develop
and graph direct and inverse proportions, develop mathematical models of real
world events, use the models to make predictions about data sets.

**6. Probability**

Determine experimental probability using a variety of methods for simulation,
calculate theoretical probability, identify and extend data patterns, calculate
expected value.

**7. Similarity**

Model growth using similarity, use relationships among scale factor, length,
area, and volume of similar objects, relationship between changes in length
and changes in area and volume, use relationships among mass, density, weight,
and pressure to describe proportional size changes, examine how the values
of a and b affect graphs of power equations of the form y = axb.

**8. Exponential equations, Venn Diagrams and Probability**

Collect and analyze data, model the spread of disease using exponential equations,
use Venn diagrams to organize data and determine probabilities, fundamental
counting principle, use tree diagrams to determine probabilities.

**9. Fundamental Counting Principle**

Use the fundamental counting principle, factorial notation, solve problems
involving Hamiltonian circuits, develop algorithms for solving problems.

**10. Inequalities and Step Functions**

Represent compound inequalities on a number line and algebraically, use interval
notation to represent inequalities, graph and interpret step functions, use
the greatest function to write equations of step functions.

**11. Sequences and Series**

Analyze number patterns, develop arithmetic and geometric sequences, compare
explicit formulas for arithmetic and geometric sequences with linear and exponential
equations, evaluation of series.

**12. Inequalities and Linear Programming**

Graph linear inequalities, solve systems of linear equations, use linear inequalities
to define regions graphically, determine optimum values for linear objective
equations.

**13. Matrix Operations**

Organize and interpret data using matrices, use matrices in business applications,
operations with matrices, interpret the meaning of the elements within a product
matrix.

**14. Pythagorean Theorem and Right Triangles**

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 their inverses.

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