# Algebra Two

**Relevant Brilliant Courses (Online Content)**

The four courses below are the foundations for all of the mathematics offered on Brilliant. If you’re an educator with a group of 10 or more students you want to give full access to these courses, contact pricing@brilliant.org to learn more about Brilliant’s discounts for school groups.

**Deep Diving Math Enrichment Problem Sets (Printable Content)**

Too often, school math is all about “racing to finish” instead of diving deep to understand and explore creative, tangential lines of inquiry. These sets were written to inspire deep diving exploration that extends and enriches the core mathematical topics and skills introduced in a standard algebra 2 common core curriculum.

Each of the “Practice-Challenge-Culmination” problem sets listed below takes some foundational skill in the common core curriculum for that grade and, after a few practice problems, extends the concept to more creative challenges, and then to a single, deep-dive question.

#### Contents

## Working with Functions

Printable PDFsCommon Core StandardsDescriptionRelated Course ContentFUNCTIONS INTRODUCTION [Printable PDF] CCSS.MATH.CONTENT.HSF.IF.A.1 CCSS.MATH.CONTENT.HSF.IF.A.2 These problems touch upon functions and the basic concepts involved in evaluating them, leading to the development of input and output as well as inverses. Complex Algebra: Functions Warmup COMPOSITION WITH FUNCTIONS [Printable PDF] CCSS.MATH.CONTENT.HSF.BF.A.1.B CCSS.MATH.CONTENT.HSF.BF.A.1.C CCSS.MATH.CONTENT.HSF.BF.B.4.A CCSS.MATH.CONTENT.HSF.BF.B.4.B This challenging set focuses on composition using inverse functions. Complex Algebra: Composition

## Polynomials

Printable PDFsCommon Core StandardsDescriptionRelated Course ContentPOLYNOMIAL FACTORING [Printable PDF] CCSS.MATH.CONTENT.HSA.APR.B.2 CCSS.MATH.CONTENT.HSA.APR.C.4 While there are some straightforward factoring problems in this set, they start to get unusual! Complex Algebra: Finding Roots POLYNOMIALS: ROOTS AND SHAPE [Printable PDF] CCSS.MATH.CONTENT.HSA.APR.B.2 CCSS.MATH.CONTENT.HSA.APR.B.3 These problems involve the roots, factors, and shapes of polynomial curves. Most problems involve equalities, except for the last, which involves an inequality that can be approached as a class exploration. Complex Algebra: Graphs of Polynomials

## Rational Functions

Printable PDFsCommon Core StandardsDescriptionRelated Course ContentRATIONAL FUNCTIONS: ASYMPTOTES [Printable PDF] CCSS.MATH.CONTENT.HSF.IF.C.7.D These conceptual questions offer a deep dive into the asymptotes of rational functions. Complex Algebra: Asymptotes RATES AND THE HARMONIC MEAN [Printable PDF] CCSS.MATH.CONTENT.7.RP.A.2.C CCSS.MATH.CONTENT.7.RP.A.3 In this problem set, introductory distance formula problems lead to rational functions and a study of the harmonic mean. Algebra Through Puzzles: Distance, Rate, and Time

## Exponentials and Logarithms

Printable PDFsCommon Core StandardsDescriptionRelated Course ContentEXPONENTIALS [Printable PDF] CCSS.MATH.CONTENT.HSF.LE.A.1 CCSS.MATH.CONTENT.HSF.LE.A.1.A CCSS.MATH.CONTENT.HSF.LE.A.2 These problems include both applied and abstract approaches to exponentials without involving logarithms. Complex Algebra: Exponents Warmup LOGARITHMS [Printable PDF] CCSS.MATH.CONTENT.HSF.BF.B.5 CCSS.MATH.CONTENT.HSF.IF.C.7.E This set starts with some problems evaluating logarithms and using logarithmic scales and leads to manipulation of logarithms in equations. Complex Algebra: Defining Logarithms

## Trigonometry

Printable PDFsCommon Core StandardsDescriptionRelated Course ContentSINE AND COSINE [Printable PDF] CCSS.MATH.CONTENT.HSF.TF.A.4 This problem sequence establishes an identity between the sine and cosine functions. Complex Algebra: The Unit Circle

## Sequences and Series

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## Conics

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## Probability and Statistics

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