# Secondary Math II Outline of NROC Resources

Below is an outline of the NROC resources that can be used as interventions when teaching the Secondary Mathematics II course. Note: Some of the resources below are from the HippoCampus collection and are subject to these Terms of Use.

Quarter 1

Unit 1: Extending the Number System

Lesson 1: Properties of Exponents

Standard: N.RN.1

Lesson 2: Rational Exponents

Standard: N.RN.2

- Resource: Dev Math - Rational Exponents

Lesson 3: Properties of Number Sets

Standard: N.RN.3

- Resource: Algebra 1 - Number Sets

Lesson 4: Complex Numbers

Standard: N.CN.1, N.CN.2

- Resource: Dev Math - Complex Numbers
- Resource: Dev Math - Operations with Complex Numbers

Lesson 5: Operations on Polynomials

Standard: A.APR.1

- Resource: Algebra 1 - Adding and Subtracting Polynomials
- Resource: Algebra 1 - Multiplying Polynomials
- Resource: HippoCampus - Operation on Polynomials

Unit 2: Quadratic Functions and Modeling

Lesson 1: Key Features of Functions

Standard: F.IF.4

- Resource: Algebra 1 - Non-Linear Functions

Lesson 2: Applications of Domain

Standard: F.IF.5

- Resource: Dev Math - Finding Domain and Range
- Resource: HippoCampus - Domain of a Function

Lesson 3: Average Rate of Change

Standard: F.IF.6

- Resource: Algebra 1 - Rate of Change and Slope
- Resource: HippoCampus - Slope and Rate of Change

Lesson 4: Graph Linear and Quadratic Functions

Standard: F.IF.7

- Resource: Algebra 1 - Graphing Quadratic Functions
- Resource: HippoCampus - Equation Grapher

Lesson 5: Graph Square Root, Cube Root, and Piecewise Functions

Standard: F.IF.7

- Resource: Dev Math - Graphing Types of Functions

Lesson 6: Writing Quadratic Functions By Factoring

Standard: F.IF.8, A.SSE.3

- Resource: DevMath - Factoring
- Resource: Algebra 1 - Factoring Special Products

Lesson 7: Writing Quadratic Functions by Completing the Square

Standard: F.IF.8, A.SSE.3

- Resource: HippoCampus - Completing the Square

Unit 3: Using Functions

Lesson 1: Interpreting Exponential Functions

Standard: F.IF.8

Lesson 2: Comparing Properties of Functions

Standard: F.IF.9, F.LE.3

Lesson 3: Write Functions that Model a Relationship

Standard: F.BF.1

Lesson 4: Transformations of Functions

Standard: F.BF.3

Lesson 5: Inverse Functions

Standard: F.BF.4

- Resource: HippoCampus - Inverse Functions

Quarter 2

Unit 4: Expressions and Equations

Lesson 1: Interpreting Expressions By Examining Polynomials

Standard: A.SSE.1, A.SSE.2

- Resource: Dev Math - Adding and Subtracting Polynomials
- Resource: Dev Math - Multiplying Polynomials

Lesson 2: Writing Equivalent Expressions

Standard: A.SSE.3

- Resource: Algebra 1 - Factoring Trinomials by Grouping 2
- Resource: HippoCampus - Completing the Square
- Resource: HippoCampus - Exponential Growth and Decay

Lesson 3: Using Equations and Inequalities

Standard: A.CED.1, A.CED.2

- Resource: Dev Math - Multi-step Inequalities
- Resource: Algebra 1 - Applications of Quadratic Functions

Lesson 4: Rearranging Formulas

Standard: A.CED.4

Lesson 5: Deriving the Quadratic Formula

Standard: A.REI.4

- Resource: HippoCampus - Proof of Quadratic Formula

Lesson 6: Solving Quadratic Equations

Standard: A.REI.4, N.CN.7

Lesson 7: Extending Polynomial Identities to Complex Numbers

Standard: N.CN.8

- Resource: None

Lesson 8: The Fundamental Theorem of Algebra

Standard: N.CN.9

- Resource: None

Lesson 9: Moduli and Quotients of Complex Numbers (Honors)

Standard: N.CN.3

Lesson 10: Complex Numbers on the Coordinate Plane (Honors)

Standard: N.CN.4, N.CN.5, N.CN.6

- Resource: None

Lesson 11: Solve Systems of Equations

Standard: A.REI.7

Lesson 12: Systems of Equations and Matrices (Honors)

Standard: A.REI.8, A.REI.9

- Resource: None

Unit 5: Proof

Lesson 1: Introduction to Formal Proof

Standard: G.CO.9, G.CO.10, G.CO.11

Lesson 2: Theorems About Lines and Angles

Standard: G.CO.9

Lesson 3: Theorems About Triangles

Standard: G.CO.10

- Resource: HippoCampus - Pythagoras Proof Simulation
- Resource: Dev Math - Triangles
- Resource: HippoCampus - Sum of Angles in a Triangle
- Resource: HippoCampus - Midsegments of a Triangle

Lesson 4: Theorems About Parallelograms

Standard: G.CO.11

- Resource: Dev Math - Quadrilaterals
- Resource: HippoCampus - Angles in a Parallelogram
- Resource: HippoCampus - Classifying Quadrilaterals

Lesson 5: Proof Using Coordinates

Standard: G.GPE.6, G.GPE.4

Unit 6: Similarity and Right Triangle Trigonometry (Extends into Q3)

Lesson 1: Dilations

Standard: G.SRT.1

- Resource: None

Lesson 2: Triangle Similarity

Standard: G.SRT.2, G.SRT.3

- Resource: HippoCampus - Similar Triangles

Lesson 3: Using Similarity and Congruence

Standard: G.SRT.4, G.SRT.5

Lesson 4: Trigonometric Ratios

Standard: G.SRT.6, G.SRT.7

Lesson 5: Solving Right Triangles

Standard: G.SRT.8

- Resource: Dev Math - Right Triangle Trigonometry

Lesson 6: Trigonometric Identities

Standard: F.TF.8

- Resource: HippoCampus - Trigonometric Identities

Lesson 7: Addition and Subtraction Formulas In Trigonometry (Honors)

Standard: F.TF.9

- Resource: None

Quarter 3

Unit 7: Circles Without Coordinates

Lesson 1: Similarity of Circles

Standard: G.C.1

- Resource: None

Lesson 2: Circle Relationships

Standard: G.C.2

- Resource: HippoCampus - Inscribed Angles

Lesson 3: Circle Constructions

Standard: G.C.3, G.C.4

- Resource: HippoCampus - Tangent Lines to a Circle

Lesson 4: Arc Length and Area of a Sector

Standard: G.C.5

- Resource: None

Lesson 5: Defining Radians

Standard: G.C.5

- Resource: Dev Math - Degree and Radian Measure

Lesson 6: Circumference and Area of Circles

Standard: G.GMD.1

- Resource: Dev Math - Circles
- Resource: HippoCampus - Circles: Circumference
- Resource: HippoCampus - Area of a Circle

Lesson 7: Volume

Standard: G.GMD.1, G.GMD.3

- Resource: Dev Math - Solids

Lesson 8: Cavalieri’s Principle (Honors)

Standard: G.GMD.2

- Resource: None

Unit 8: Circles With Coordinates

Lesson 1: Equations of Circles

Standard: G.GPE.1

- Resource: HippoCampus - Introduction to Circles
- Resource: HippoCampus - Standard Form of a Circle

Lesson 2: Equations of Parabolas

Standard: G.GPE.2

Lesson 3: Equations of Ellipses (Honors)

Standard: G.GPE.3

- Resource: HippoCampus - Introduction to Ellipses

Lesson 4: Equations of Hyperbolas (Honors)

Standard: G.GPE.3

- Resource: HippoCampus - Introduction to Hyperbolas

Quarter 4

Unit 9: Applications of Probability

Lesson 1: Introduction to Probability

Standard: S.CP.1

- Resource: Dev Math - Probability
- Resource: Algebra 1 - Events and Outcomes

Lesson 2: Independence

Standard: S.CP.2, S.CP.5

Lesson 3: Conditional Probability

Standard: S.CP.3, S.CP.5

Lesson 4: Constructing and Using Two-Way Tables

Standard: S.CP.4

- Resource: None

Lesson 5: Rules of Probability

Standard: S.CP.6, S.CP.7, S.CP.8

- Resource: None

Lesson 6: Permutations and Combinations

Standard: S.CP.9

- Resource: Algebra 1 - Permutation and Combinations

Lesson 7: Making Decisions from Probability

Standard: S.MD.1, S.MD.2

- Resource: None

**Created by Annie Swinton, Mountain Heights Academy*