Pre-Calculus Curriculum Map

Month: / August
Unit: / Review Essential Concepts- Simplifying Rational Expressions and Solve Rational Equations
Skills/Understanding/
Student Demonstrators: / Definition of rational numbers and expressions
How to find common denominators in rational expressions
Literacy Standards: Tier Three Word and Content Learning.
Critical Vocabulary: / Rational expressions, common denominators
Instructional Strategies: / Model Presentations, Practice Worksheets, Board Work, Group Work Vocabulary, Class Discussion, Homework Review, Calculator Use
Learning Targets: / I can:
1.)Simplify rational expressions using addition, subtraction, multiplication and division
2.) Solve rational equations using addition, subtraction, multiplication and division
Assessments: / Bell work, Daily Classwork, Homework, Quizzes, Tests
Month: / September
Unit: / Trigonometry
Skills and
Student Demonstrators: / Understand how to use proportions.
Literacy Standards: R.CCR .4. Interpret words and phrases as they are used in a text, including determining technical, connotative, and figurative meanings, and analyze howspecific word choices shape meaning or tone. W.CCR .5. Develop and strengthen writing as needed by planning, revising, editing, rewriting, or trying a new approach.
Critical Vocabulary: / Right triangle trig, standard position, degrees, radians, co-terminal and reference angles, arc, circular sector, unit circle
Instructional Strategies: / Model Presentations, Practice Worksheets, Board Work, Group Work Vocabulary, Class Discussion, Homework Review, Test Reviews, Calculator Use, and
Constructions using tools(compass, ruler, protractor)
Learning Targets: / I can:
1.)convert from radians to degrees and vice versa
2.)find co-terminal and reference angles
3.)define the six trig functions
4.)find and angles and sides using the six trig functions
Month: / October
Unit: / Trigonometry
Skills and
Student Demonstrators: / Understand how to find area of a regular triangle. Understand what an oblique triangle is.
Literacy Standards: R.CCR .4. Interpret words and phrases as they are used in a text, including determining technical, connotative, and figurative meanings, and analyze howspecific word choices shape meaning or tone. W.CCR .5. Develop and strengthen writing as needed by planning, revising, editing, rewriting, or trying a new approach.
Critical Vocabulary: / Oblique triangles, Laws of Sine, Laws of Cosine
Instructional Strategies: / Model Presentations, Practice Worksheets, Board Work, Group Work Vocabulary, Class Discussion, Homework Review, Test Reviews ,Calculator Use, and
Constructions using tools(compass, ruler)
Learning Targets: / I can:
1.)use Law of Sines and Law of Cosines to find the sides and angles of oblique triangles
2.)find the area of triangles using Hero’s foumula
Assessments: / Bell work, Daily Homework, Constructions, Quizzes, Tests (summative and formative), Projects
Month: / November
Unit: / Trigonometry
Skills and
Student Demonstrators: / Understand what a sine and cosine graph looks like.
Understand the difference between a Cartesian coordinate system and a Polar coordinate system.
Literacy Standards: R.CCR .4. Interpret words and phrases as they are used in a text, including determining technical, connotative, and figurative meanings, and analyze howspecific word choices shape meaning or tone. W.CCR .5. Develop and strengthen writing as needed by planning, revising, editing, rewriting, or trying a new approach.
Critical Vocabulary: / Amplitude, phase shift, period, double angles, half angles, polar coordinates, rectangular coordinates
Instructional Strategies: / Model Presentations, Practice Worksheets, Board Work, Group Work Vocabulary, Class Discussion, Homework Review, Test Reviews ,Calculator Use
Learning Targets: / I can:
  • find the amplitude, phase shift and period of a trig function
  • find the double and half angle of functions
  • find polar coordinates
  • convert from polar coordinates to rectangular coordinates and vice versa

Assessments: / Bell work, Daily Homework, Constructions, Quizzes ,Tests (summative and formative), Projects
Month: / December
Unit: / Trigonometry
Skills and
Student Demonstrators: / Understand how to verify one side of an equation to the other. Understand how to find common denominators in rational expressions.
Literacy Standards: R.CCR .4. Interpret words and phrases as they are used in a text, including determining technical, connotative, and figurative meanings, and analyze howspecific word choices shape meaning or tone. W.CCR .5. Develop and strengthen writing as needed by planning, revising, editing, rewriting, or trying a new approach.
Critical Vocabulary: / Trigonometric Identities: reciprocal, Pythagorean and identity
Instructional Strategies: / Model Presentations, Practice Worksheets, Board Work, Group Work Vocabulary, Class Discussion, Homework Review, Test Reviews ,Calculator Use
Learning Targets: / I can:
  • identify and verify trigonometric identities

Assessments: / Bell work, Daily Homework, Constructions, Quizzes ,Tests (summative and formative), Projects
Month: / January
Unit: / Function Theory, Imaginary and Complex Numbers
Skillsand
Student Demonstrators: / Understand the definition of a function.
Understand the sets of numbers, both real and complex.
Literacy Standards: R.CCR .4. Interpret words and phrases as they are used in a text, including determining technical, connotative, and figurative meanings, and analyze howspecific word choices shape meaning or tone. W.CCR .5. Develop and strengthen writing as needed by planning, revising, editing, rewriting, or trying a new approach.
Critical Vocabulary: / Function, domain, range, family of functions, composite functions, inverse functions, sets of numbers, imaginary numbers, complex numbers, operations with complex numbers
Instructional Strategies: / Model Presentations, Practice Worksheets, Board Work, Group Work Vocabulary, Class Discussion, Homework Review, Test Reviews ,Calculator Use
Learning Targets: / I can:
  • compose functions
  • find inverse functions
  • determine the difference between the sets of numbers
  • find complex numbers
  • reduce complex numbers
  • apply operations to complex numbers

Assessments: / Bell work, Daily Homework, Constructions, Quizzes ,Tests (summative and formative), Projects
Month: / February
Unit: / Conics
Skillsand
Student Demonstrators: / Understand non-linear equations.
Literacy Standards: Informational/Explanatory Writing and Tier Three Words and Content Learning
Critical Vocabulary: / Circle, parabola, ellipse, hyperbola, transformations
Instructional Strategies: / Model Presentations, Practice Worksheets, Board Work, Group Work Vocabulary, Class Discussion, Homework Review, Test Reviews ,Calculator Use, and
Learning Targets: / I can:
  • Find the equations of circles, parabolas, ellipses, hyperbolas
  • Graph circles, parabolas, ellipses, hyperbolas
  • Recognize conic sections by equations and graphs

Assessments: / Bell work, Daily Homework, Constructions, Quizzes ,Tests (summative and formative), Projects
Month: / March
Unit: / Exponential and Logarithmic Functions
Skillsand
Student Demonstrators: / Understand the exponent rules and that logarithms are the inverse of exponents.
Understand what it means to extract a root.
Literacy Standards: R.CCR .4. Interpret words and phrases as they are used in a text, including determining technical, connotative, and figurative meanings, and analyze howspecific word choices shape meaning or tone. W.CCR .5. Develop and strengthen writing as needed by planning, revising, editing, rewriting, or trying a new approach.
Critical Vocabulary: / Exponents, rational exponents, index number, logarithms, powers, roots
Instructional Strategies: / Model Presentations, Practice Worksheets, Board Work, Group Work Vocabulary, Class Discussion, Homework Review, Test Reviews ,Calculator Use, and
Learning Targets: / I can:
  • Solve logarithmic expressions and equations
  • Use logs to compute powers and roots

Assessments: / Bell work, Daily Homework, Constructions, Quizzes ,Tests (summative and formative), Projects
Month: / April
Unit: / Matrices
Skills and
Student Demonstrators: / Understand how systems of equations can be solved using a matrix.
Literacy Standards: Argumentative and Informational/Explanatory Writing. R.CCR .4. Interpret words and phrases as they are used in a text, including determining technical, connotative, and figurative meanings, and analyze howspecific word choices shape meaning or tone. W.CCR .5. Develop and strengthen writing as needed by planning, revising, editing, rewriting, or trying a new approach.
Critical Vocabulary: / Matrices, determinant, inverse matrix, identity matrix, rows, columns
Instructional Strategies: / Model Presentations, Practice Worksheets, Board Work, Group Work Vocabulary, Class Discussion, Homework Review, Test Reviews ,Calculator Use, and
Learning Targets: / I can:
  • Use Matrix notation
  • Use basic math operations with matrices
  • Find the determinant of a matrix
  • Find the inverse of a matrix

Month: / May
Unit: / Introduction to Calculus
Skillsand
Student Demonstrators: / Understand what a function is and why it has limits.
Literacy Standards: R.CCR .4. Interpret words and phrases as they are used in a text, including determining technical, connotative, and figurative meanings, and analyze howspecific word choices shape meaning or tone. W.CCR .5. Develop and strengthen writing as needed by planning, revising, editing, rewriting, or trying a new approach.
Critical Vocabulary: / Limits, derivatives, anti-derivatives
Instructional Strategies: / Model Presentations, Practice Worksheets, Board Work, Group Work Vocabulary, Class Discussion, Homework Review, Test Reviews ,Calculator Use, and
Learning Targets: / I can:
  • Find the limit of a function
  • Find the derivative of a function
  • Find the anti-derivative of a function

Assessments: / Bell work, Daily Homework, Constructions, Quizzes ,Tests (summative and formative), Projects