Description
The Common Core Algebra II + Trigonometry Student Workbook by Kirk Weiler is a full-course curriculum. This curriculum presents mathematical concepts in a structured sequence that builds essential skills and deepens student understanding. Each lesson introduces topics progressively to ensure mastery of fundamental math principles.
This workbook is a printed collection of lessons and homework sets from the Algebra II + Trigonometry course. The answer key is sold separately as part of an annual membership.
Time to Complete:
Each lesson and homework set is structured for completion within a single day but can be adjusted as needed.Â
Here are the topics covered in each unit:
Unit 1: Introduction to Functions: Composition of Functions, Inverse Functions
Unit 2: Linear Relations: Modeling, Functions, and Forms of a Line
Unit 3: Quadratic Functions and Their Algebra: Zero Product Law, Quadratic Inequalities
Unit 4: Radicals and the Quadratic Formula: Rationalizing Fractions, Solving Root Arithmetic
Unit 5: Complex Numbers: Imaginary Numbers, Discriminant of Quadratic
Unit 6: Polynomials and Rational Functions: Inverse Variation, Complex Fractions
Unit 7: Trigonometric Functions: Vertical Shifting of Sinusoidal Graphs, The Unit Circle
Unit 8: Trigonometric Algebra: Solving Equations Using Identities, Solving Trigonometric Equations
Unit 9: Trigonometric Applications: The Law of Sines and Cosines, The Ambiguous Nature
Unit 10: Exponential and Logarithmic Functions: The Number e and the Natural Logarithm
Unit 11: Probability: Introduction to Combinations, Binomial Expansions
Unit 12: Statistics: Standard Deviation, Summation Notation, The Normal Distribution
Unit 13: Sequences and Series: Arithmetic Series, Geometric Series
Questions? Take a look at our Frequently Asked Questions.
Standards Alignment
Standards
Below are some of the key areas addressed in the workbook, though this is not a comprehensive list:
MP.1 – Make sense of problems and persevere in solving them.
MP.2 – Reason abstractly and quantitatively.
MP.3 – Construct viable arguments and critique the reasoning of others.
MP.4 – Model with mathematics.
MP.5 – Use appropriate tools strategically.
MP.7 – Look for and make use of structure.
MP.8 – Look for and express regularity in repeated reasoning.
AI-A.APR.1 – Add, subtract, and multiply polynomials and recognize that the result is also a polynomial.
AI-A.APR.3 – Identify zeros of polynomial functions when suitable factorizations are available.
AI-A.REI.1a – Explain each step solving linear or quadratic equations; justify the solution method.
AI-A.REI.3 – Solve linear equations and inequalities in one variable.
AI-F.IF.2 – Use function notation, evaluate functions, and interpret in context.
AI-F.IF.4 – Interpret key features of graphs and tables; sketch graphs from descriptions.
AI-F.IF.6 – Calculate and interpret average rate of change over an interval.
AI-F.IF.7a – Graph linear, quadratic, and exponential functions; show key features.
AI-F.IF.8 – Write a function in different equivalent forms to reveal properties.
AI-F.IF.8a – Find zeros, maxima, minima, and symmetry of quadratic functions.
AI-F.LE.5 – Interpret parameters in a linear or exponential function in context.
AI-S.ID.6 – Represent bivariate data on scatter plots; describe relationships.
AI-S.ID.6a – Fit a function to real-world data and solve problems.
AI-S.ID.7 – Interpret slope and intercept in context of data.
AI-S.ID.8 – Calculate and interpret the correlation coefficient.
AI-S.ID.9 – Distinguish between correlation and causation.
AI-A.SSE.1b – Interpret expressions by viewing parts as a single entity.
AI-A.SSE.2 – Recognize and use structure to rewrite expressions.
AI-A.SSE.3 – Choose and produce equivalent forms to reveal properties.
AI-A.SSE.3c – Use exponent properties to rewrite exponential expressions.
AII-A.APR.3 – Identify zeros of polynomial functions when suitable factorizations are available.
AII-A.REI.1b – Explain steps when solving rational or radical equations; justify solution.
AII-F.IF.4 – Interpret key features of graphs and tables; sketch graphs from descriptions.
AII-F.IF.6 – Calculate and interpret average rate of change over an interval.
AII-F.IF.7e – Graph cube root, exponential, logarithmic, and trigonometric functions.
AII-F.IF.8 – Write a function in different equivalent forms to reveal properties.
AII-F.IF.8b – Use exponent properties to interpret exponential functions as growth or decay.
AII-F.BF.4a – Find inverse of one-to-one functions algebraically and graphically.
AII-F.LE.5 – Interpret parameters in a linear or exponential function in context.
AII-S.ID.6 – Represent bivariate data on scatter plots; describe relationships.
AII-S.ID.6a – Fit a function to real-world data and solve problems.
AII-A.SSE.2 – Recognize and use structure to rewrite expressions.
AII-A.SSE.3 – Choose and produce equivalent forms to reveal properties.
AII-A.SSE.3c – Use exponent properties to rewrite exponential expressions.
AII-F.IF.8b – Use exponent properties to classify functions as growth or decay.
(+)-F.BF.3c – Determine algebraically whether a function is even or odd.
(+)-F.BF.4b – Verify by composition that one function is the inverse of another.
(+)-F.BF.4d – Determine an invertible function by restricting the domain.
(+)-S.ID.6b – Informally assess the fit of a function by analyzing residuals.
CCSS equivalent standards include:
CCSS.MP1 – Make sense of problems and persevere in solving them.
CCSS.MP2 – Reason abstractly and quantitatively.
CCSS.MP3 – Construct viable arguments and critique the reasoning of others.
CCSS.MP4 – Model with mathematics.
CCSS.MP5 – Use appropriate tools strategically.
CCSS.MP7 – Look for and make use of structure.
CCSS.MP8 – Look for and express regularity in repeated reasoning.
CCSS.HSA.APR.A.1 – Add, subtract, and multiply polynomials and recognize that the result is also a polynomial.
CCSS.HSA.APR.B.3 – Identify zeros of polynomial functions when suitable factorizations are available.
CCSS.HSA.REI.A.1 – Explain each step solving linear or quadratic equations; justify the solution method.
CCSS.HSA.REI.B.3 – Solve linear equations and inequalities in one variable.
CCSS.HSF.IF.A.2 – Use function notation, evaluate functions, and interpret in context.
CCSS.HSF.IF.B.4 – Interpret key features of graphs and tables; sketch graphs from descriptions.
CCSS.HSF.IF.B.6 – Calculate and interpret average rate of change over an interval.
CCSS.HSF.IF.C.7.A – Graph linear and quadratic functions; show key features.
CCSS.HSF.IF.C.8 – Write a function in different equivalent forms to reveal properties.
CCSS.HSF.IF.C.8.A – Find zeros, maxima, minima, and symmetry of quadratic functions.
CCSS.HSF.LE.A.5 – Interpret parameters in a linear or exponential function in context.
CCSS.HSS.ID.B.6 – Represent bivariate data on scatter plots; describe relationships.
CCSS.HSS.ID.B.6.A – Fit a function to real-world data and solve problems.
CCSS.HSS.ID.C.7 – Interpret slope and intercept in context of data.
CCSS.HSS.ID.C.8 – Calculate and interpret the correlation coefficient.
CCSS.HSS.ID.C.9 – Distinguish between correlation and causation.
CCSS.HSA.SSE.A.1.B – Interpret expressions by viewing parts as a single entity.
CCSS.HSA.SSE.A.2 – Recognize and use structure to rewrite expressions.
CCSS.HSA.SSE.B.3 – Choose and produce equivalent forms to reveal properties.
CCSS.HSA.SSE.B.3.C – Use exponent properties to rewrite exponential expressions.
CCSS.HSA.APR.B.3 – Identify zeros of polynomial functions when suitable factorizations are available.
CCSS.HSA.REI.A.1 – Explain steps when solving rational or radical equations; justify solution.
CCSS.HSF.IF.B.4 – Interpret key features of graphs and tables; sketch graphs from descriptions.
CCSS.HSF.IF.B.6 – Calculate and interpret average rate of change over an interval.
CCSS.HSF.IF.C.7.E – Graph cube root, exponential, logarithmic, and trigonometric functions.
CCSS.HSF.IF.C.8 – Write a function in different equivalent forms to reveal properties.
CCSS.HSF.IF.C.8.B – Use exponent properties to interpret exponential functions as growth or decay.
CCSS.HSF.BF.B.4.A – Find inverse of one-to-one functions algebraically and graphically.
CCSS.HSF.LE.A.5 – Interpret parameters in a linear or exponential function in context.
CCSS.HSS.ID.B.6 – Represent bivariate data on scatter plots; describe relationships.
CCSS.HSS.ID.B.6.A – Fit a function to real-world data and solve problems.
CCSS.HSA.SSE.A.2 – Recognize and use structure to rewrite expressions.
CCSS.HSA.SSE.B.3 – Choose and produce equivalent forms to reveal properties.
CCSS.HSA.SSE.B.3.C – Use exponent properties to rewrite exponential expressions.
CCSS.HSF.IF.C.8.B – Use exponent properties to classify functions as growth or decay.
Book ISBNs
Algebra 2 with Trigonometry Spiral Bound:
978-1-944719-00-5