Secondary Math II Outline of NROC Resources

Quarter 1         Quarter 2        Quarter 3        Quarter 4

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

• Resource: Dev Math - Understanding Exponents and Square Roots

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

• Resource: HippoCampus - Identifying Exponential Models

Lesson 2: Comparing Properties of Functions

    Standard: F.IF.9, F.LE.3

• Resource: HippoCampus - Linear, Quadratic and Exponential Models

Lesson 3: Write Functions that Model a Relationship

    Standard: F.BF.1

• Resource: HippoCampus - Identifying Quadratic Models

Lesson 4: Transformations of Functions

    Standard: F.BF.3

• Resource: Dev Math - Arithmetic Operations with Functions

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

• Resource: Algebra 1 - Solving For a Specific Variable

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

• Resource: Algebra 1 - Solving Quadratic Equations by Completing the Square
• Resource: Algebra 1 - Solving Quadratic Equations Using the Quadratic Formula
• Resource: Dev Math - The Quadratic Formula

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

• Resource: HippoCampus - Complex Numbers and Conjugates

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

• Resource: Algebra 1 - Systems of Non-Linear Equations

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

• Resource: HippoCampus - Proof Using Properties of Equality
• Resource: HippoCampus - Proof Using Properties of Congruence

Lesson 2: Theorems About Lines and Angles

    Standard: G.CO.9

• Resource: Dev Math - Properties of Angles
• Resource: HippoCampus - Properties of Parallel Lines
• Resource: HippoCampus - Parallel Lines and Transversals
• Resource: HippoCampus - Complementary, Supplementary, and Vertical Angles
• Resource: HippoCampus - Perpendicular Bisector Theorem

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

• Resource: HippoCampus - Perpendicular Bisectors in the Coordinate Plane

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

• Resource: HippoCampus - Congruent and Similar Triangles

• Resource: HippoCampus - Triangle Proportionality Theorem

Lesson 4: Trigonometric Ratios

    Standard: G.SRT.6, G.SRT.7

• Resource: Dev Math - Identifying the Six Trigonometric Functions

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

• Resource: HippoCampus - Parabola Focus and Directrix

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

• Resource: Algebra 1 - Probability of Independent Events

Lesson 3: Conditional Probability

    Standard: S.CP.3, S.CP.5

• Resource: Algebra 1 - Probability of Dependent Events

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