Download Dallastown Area School District Mathematics Curriculum Map

Dallastown Area School District
Mathematics Curriculum Map – Algebra 3/Trigonometry
Lesson/Topic
Exponents and Radicals
Skill/Objective
Use the properties of exponents to simplify expressions, also containing rational exponents
Rationalizing numerators and denominators
Lesson/Topic
Polynomials
Skill/Objective
Perform operations on polynomials: add, subtract, FOIL
Factor – special products, Difference of Squares, Perfect Square Trinomials
Factor – trinomials with leading coefficient of one and leading coefficient other than
one, with irrational roots
Factor by Grouping
Binomial Expansion with a power of two
Lesson/Topic
Rational Expressions
Skill/Objective
Find the domain of a rational expression
Simplify by factoring
Perform operations on rational expressions – add, subtract, multiply and divide
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3/22/2011
Dallastown Area School District
Mathematics Curriculum Map – Algebra 3/Trigonometry
Simplify complex rational expressions
Lesson/Topic
Skill/Objective
Keystone Review
General Test Taking Strategies for answering multiple choice and free response
questions.
opportunities to expand on strengths and remediate areas of need as determined by
the classroom diagnostic test
Lesson/Topic
Solving Equations
Skill/Objective
Solve linear equations by isolating the variable, including one step, to multi-step equations.
Solve linear equations involving proportions and checking for extraneous roots.
Solve quadratic equations using the following techniques: factoring, completing the square,
extracting square roots, and quadratic formula.
Solve quadratic equations and check for extraneous roots and double roots.
Solve polynomial equations of higher degree by factoring, including checking for
extraneous roots, and multiplicity of roots.
Lesson/Topic
Solving Inequalities
Skill/Objective
Solve linear inequalities by isolating the variable, including one step, to multi-step inequalities.
Solve linear inequalities involving proportions.
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3/22/2011
Dallastown Area School District
Mathematics Curriculum Map – Algebra 3/Trigonometry
Solve compound inequalities using sign charts to check for solutions.
Lesson/Topic
Functions
Skill/Objective
Determine the domain and range of Linear, Quadratic, Cubic, Exponential, Logarithmic, and
Rational functions
Perform operations on Linear, Quadratic, Cubic, Exponential, Logarithmic, and Rational
functions, including composition.
Find equation of linear functions given a point and slope or two points.
Find equation of linear functions parallel and perpendicular to a given linear function.
Find the equation of a parabola given the zeros, or a vertex and a point.
Graph Linear, Quadratic, Cubic, Exponential, Logarithmic, and Rational functions in terms of
shifts, reflections, stretches, and or asymptotes
Analyze graphs of Linear, Quadratic, Cubic, Exponential, Logarithmic, and Rational functions,
locating local minimums and maximums and in terms of increasing, decreasing, constant, even,
odd, or neither, using interval notation.
Lesson/Topic
Trigonometry
Skill/Objectives
Use right triangle trig functions to solve word problems involving angles of elevation and
depression.
Derive the unit circle based on special triangles, determine the measurements of the angles in
both degrees and radians, and determine the x and y coordinates of the angles.
Use the unit circle to evaluate the six trigonometric functions in terms of their corresponding
coordinates.
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3/22/2011
Dallastown Area School District
Mathematics Curriculum Map – Algebra 3/Trigonometry
Lesson/Topic
Matrices
Skill/Objective
Perform operations on matrices: addition, subtraction, and multiplication
Use the TI-83 to solve systems of equations utilizing the rref calculation of the matrix function
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