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Algebraic Connections

Course Outline

Chapter & Section
Time
Objectives
Supplement 1 day Reivew prime numbers.
Supplement 1 day Reivew order of operations.
6-1 2 days Evaluate & simplify algebraic expressions.
6-2 1 day Solve linear equations.
6-3 2 days Solve problems modeled by linear equations.
6-4 4 days Solve problems involving direct & inverse variation.
6-5 1 day Solve linear inequalities.
  1 day Review & test.
6-6 1 day Multiply polynomials.
6-6 2 days Factor polynomials.
6-6 1 day Solve quadratic equations by factoring.
6-6 1 day Solve quadratic equations using the quadratic formula.
6-6 1 day Solve applications modeled by quadratic equations.
  1 day Review & test.
7-1 1 day Evaluate functions for a given domain. Determine if a relation is a function.
7-2 2 days Determine the x- & y-intercepts of linear equations. Graph linear equations.
7-3 2 days Graph quadratic equations by locating the vertex, x- & y-intercepts, and determining the direction the graph opens.
7-5 5 days Solve systems of linear equations in two variables by graphing, substitution, & elimination. Solve applications involving systems of linear equations.
  2 days Review & test.
7-6 1 day Solve & graph solutions to inequalities in two variables.
7-6 2 days Graph & solve systems of linear inequalities in two variables.
7-4 1 day Graph exponential functions. Solve problems involving exponential functions.
  2 days Review & mid-term exam.
Supplement 1 day Review graphing equations & inequalities in two variables.
Supplement 1 day Review graphing systems of inequalities.
7-7 3 days Solve linear programming problems.
  2 days Review & test.
8-1 1 day Convert between percents, decimals, & fractions
8-1 1 day Solve problems involving percents.
8-2 1 day Solve problems related to simple interest.
8-3 2 days Solve problems related to compound interest, present value, & effective annual yield.
8-4 2 days Solve problems related to installment purchases, includeing early payoff.
8-5 2 days Solve problems related to mortgages, calculate monthly payment, prepare amortization schedule for a mortgage.
8-6 1 day Calculate costs involved in purchasing & selling stocks, bonds, & mutual funds. Answer questions related to stock tables.
  2 days Review & test.
9-1 1 day Convert measures of length within & between the customary & metric systems.
9-2 1 day Calculate area of rectangles, squares, & triangles. Calculate volume of rectangular prisms & cylinders. Convert measures of area & volume within & between customary & metric systems.
9-3 1 day Convert measures of weight & temperature within & between the customary & metric systems.
  1 day Review & test.
10-1 2 days Review terminology related to Euclidean Geometry. Find measures of angles involving complementary, supplementary, or vertical angles, or angles formed when parallel lines are cut by a transversal.
10-2 2 days Solve problems involving angle relationships in triangles. Solve problems involving similar triangles. Use the Pythagorean Theorem to solve problems involving right triangles.
10-3 2 days Solve problems involving perimeter of a polygon. Find the sum of the measures of the interior angles of a polygon. Find the measure of one angle of a regular polygon. Find the measure of an exterior angle of a polygon.
10-4 2 days Calculate area of irregular polygons by subdividing the shape into rectangles & triangles. Calculate circumference & area of circles.
10-5 2 days Calculate volume & surface area of prisms, pyramids, cylinders, cones, & spheres.
  2 days Review & test.
10-6 & supplement 1 day Use the definitions of sine, cosine, & tangent to write ratios of the sides of right triangles.
10-6 & supplement 1 day Use arcsine, arccosine, & arctangent to find the measures of the acute angles of right triangles.
10-6 & supplement 1 day Use sine, cosine, & tangent to solve right triangles.
  1 day Review & test.
  2 days Review & final exam.

 

 

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