The highlighted evidence outcomes are the priority for all students, serving as the essential concepts and skills. It is recommended that the remaining evidence outcomes listed be addressed as time allows, representing the full breadth of the curriculum.

Students Can (Evidence Outcomes):

Big Ideas Algebra 2 Chapters 1-3 focus on linear, absolute value, and quadratic functions. Consult Algebra 2 Families of Functions for additional evidence outcomes that apply to linear, absolute value, and quadratic functions.

HS.N-CN.A. The Complex Number System: Perform arithmetic operations with complex numbers. 

• Define complex number i such that i2 = –1, and show that every complex number has the form a + bi where a and b are real numbers. (CCSS: HS.N-CN.A.1)

• Use the relation i2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. (CCSS: HS.N-CN.A.2)

HS.N-CN.C. The Complex Number System: Use complex numbers in polynomial identities and equations. 

• Solve quadratic equations with real coefficients that have complex solutions (CCSS: HS.N-CN.C.7)

HS.A-REI.B. Reasoning with Equations & Inequalities: Solve equations and inequalities in one variable. 

• Solve quadratic equations in one variable. (CCSS:HS.A-REI.B.4)

  • Solve quadratic equations (e.g., for x2 = 49) by inspection, taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b. (CCSS: HS.A-REI.B.4.b) 

HS.A-REI.C. Reasoning with Equations & Inequalities: Solve systems of equations. 

• Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x2 + y2 = 3. (CCSS: HS.A-REI.C.7)

A star symbol (⭑) represents grade level expectations and evidence outcomes that make up a mathematical modeling standards category.

Assessments:

• Chapters 1-2 Assessment (PDF), Chapter 3 Assessment (PDF)

• SAT Suite Educator Question Bank (Content Domain: Advanced Math)

• Additional Assessment Tasks

Instructional Resources & Notes:

• Big Ideas Algebra 2 Chapters 1-3 (skip Lessons 1.4, 2.3, 3.6)

• Supplemental Lesson Resources: Chapter 1, Chapter 2, Chapter 3

• Additional Modeling Tasks

  • Mailing Your Vacation Home, Too Many Cars on the Highway, Water In - Water Out, What Will You Have With Your Coffee?, Cleaning Up, Planning a Concert (References: Completing the Modeling Cycle, Advice on Modeling)

• Notes: 

  • Chapters 1-2 review prior knowledge from Algebra 1. Combine lessons within Chapters 1-2 to ensure adequate time is provided for Chapter 3. Chapters 1-2 should be assessed together.

  • Lesson 2.3 (Focus of a Parabola) addresses evidence outcomes in Precalculus with Trigonometry. Lesson 2.3 should be skipped.

  • Operations with complex numbers in Lesson 3.2 (Complex Numbers) is optional and can be reserved for Honors Algebra 2 classes only.