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Algebra 2 Videos

2018-19 Algebra 2 Essential Math Concepts (EMCs)

1. Understand and Transform Functions and Solve Linear Systems
2. Perform Operations with Exponents and Radicals
3. Solve, Graph, and interpret Quadratic Functions
4. Graph, Factor, and Perform Operations on Polynomial Functions
5. Graph and Understand Relationships Between Exponential and Logarithmic Functions
6. Interpret Data Using Probability and Statistics
7. Solve Problems Involving Conic Sections and Infinite Geometric Series, and Simplify and Solve Rational Functions
8. Graph Trigonometric Functions

 

Algebra 2 Domains, Clusters, and Standards
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Number and Quantity 

The Complex Number System

• Perform arithmetic operations with complex numbers

  EMC 3: (N-CN.1, N-CN.2)

• Use complex numbers in polynomial identities and equations.

  EMC 4: (N-CN.7, +N-CN.8, +N-CN.9)

 

Algebra

Seeing Structure in Expressions

• Interpret the structure of expressions.

  EMC 4 : (A-SSE.1, A-SSE.1a, A-SSE.1b, A-SSE.2)

• Write expressions in equivalent forms to solve problems..

  EMC 7: (A-SSE.4)

Arithmetic with Polynomials and Rational Expressions

• Perform arithmetic operations on polynomials.

  EMC 4: (A-APR.1)

• Understand the relationship between zeros and factors of polynomials.

  EMC 4: (A-APR.2, A-APR.3)

• Use polynomial identities to solve problems.

  EMC 4: (A-APR.4, +A-APR.5)

• Rewrite rational expressions.

  EMC 7: (A-APR.6, +A-APR.7)

Creating Equations

• Create equations that describe numbers or relationships.

  EMCs 1, 3, 5, & 7: (A-CED.1, A-CED.2, A-CED.3, A-CED.4)

Reasoning with Equations and Inequalities

• Understand solving equations as a process of reasoning and explain the reasoning.

  EMCs 2 & 7: (A-REI.2)

• Represent and solve equations and inequalities.

  EMCs 1, 4, 5, & 7: (A-REI.11)

 

Functions

Interpreting Functions

Interpret functions that arise in applications in terms of the context.

  EMCs 3, 4, 5, & 8: (F-IF.4, F-IF.5, F-IF.6)

• Analyze functions using different representations.

  EMCs 1, 4, 5, & 8: (F-IF.7)

  EMC 1: (F-IF.7b)

  EMC 4: (F-IF.7c)

  EMCs 5, & 8: (F-IF.7e)

  EMCs 3, 4, 5, & 8: (F-IF.8, F-IF.9)

Building Functions

• Build a function that models a relationship between two quantities.

  EMCs 1, 3, 5, & 7: (F-BF.1, F-BF.1b, F-BF.3)

• Build new functions from existing functions.

  EMC 5: (F-BF.4, F-BF.4a)

Linear, Quadratic, and Exponential Models

• Construct and compare linear, quadratic,and exponential models and solve problems.

  EMC 5: (F-LE.4)

Trigonometric Functions

Extend the domain of trigonometric functions using the unit circle.

  EMC 8: (F-TF.1, F-TF-2)

• Model periodic phenomena with trigonometric functions.

  EMC 8: (F-TF.5)

• Prove and apply trigonometric identities.

  EMC 8: (F-TF.8)

 

Statistics and Probability

Interpreting Categorical and Quantitative Data

• Summarize, represent, and interpret data on a single count or measurement variable.

  EMC 6: (S-ID.4)

Making Inferences and Justifying Conclusions

• Understand and evaluate random processes underlying statistical experiments.

  EMC 6: (S-IC.1, S-IC.2)

• Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

  EMC 6: (S-IC.3, S-IC.4, S-IC.5, S-IC.6)

Using Probability to Make Decisions

• Use probability to evaluate outcomes of decisions.

  EMC 6: (+S-MD.6, +S-MD.7)