### A: Students will demonstrate number sense and apply number theory concepts.

#### A.A4: demonstrate an understanding of the nature of the roots of quadratic equations

Roots of a Quadratic

#### A.A9: represent non-real roots of quadratic equations as complex numbers

Roots of a Quadratic

### B: Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.

#### B.B10: derive and apply the quadratic formula

Roots of a Quadratic

#### B.B11: analyze the quadratic formula to connect its components to the graphs of quadratic functions

Quadratics in Factored Form

Roots of a Quadratic

#### B.B12: apply real number exponents in expressions and equations

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

### C: Students will explore, recognize, represent and apply patterns and relationships, both informally and formally.

#### C.C1: model real-world phenomena using quadratic functions

Addition and Subtraction of Functions

Quadratics in Polynomial Form

#### C.C2: model real-world phenomena using exponential functions

Compound Interest

#### C.C10: determine the equation of a quadratic function using finite differences

Addition and Subtraction of Functions

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Roots of a Quadratic

Translating and Scaling Functions

Zap It! Game

#### C.C16: demonstrate an understanding that slope depicts rate of change

Cat and Mouse (Modeling with Linear Systems) - Metric

Distance-Time and Velocity-Time Graphs - Metric

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

#### C.C17: demonstrate an understanding of the concept of rate of change in a variety of situations

Cat and Mouse (Modeling with Linear Systems) - Metric

#### C.C19: demonstrate an understanding, algebraically and graphically, that the inverse of an exponential function is a logarithmic function

Logarithmic Functions

#### C.C22: solve quadratic equations

Roots of a Quadratic

#### C.C23: solve problems involving quadratic equations

Roots of a Quadratic

Translating and Scaling Functions

#### C.C24: solve exponential and logarithmic equations

Exponential Functions

#### C.C25: solve problems involving exponential and logarithmic equations

Exponential Functions

#### C.C30: describe and apply rates of change by analyzing graphs, equations and descriptions of linear and quadratic functions

Cat and Mouse (Modeling with Linear Systems) - Metric

Exponential Functions

Translating and Scaling Functions

#### C.C31: analyze and describe the characteristics of quadratic functions

Addition and Subtraction of Functions

Graphs of Polynomial Functions

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Translating and Scaling Functions

Zap It! Game

#### C.C32: demonstrate an understanding of how parameter changes affect the graphs of quadratic functions

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Translating and Scaling Functions

Zap It! Game

#### C.C33: analyze and describe the characteristics of exponential and logarithmic functions

Exponential Functions

Introduction to Exponential Functions

Logarithmic Functions

#### C.C34: demonstrate an understanding of how parameter changes affect the graphs of exponential functions

Introduction to Exponential Functions

### D: Students will demonstrate an understanding of and apply concepts and skills associated with measurement.

#### D.D3: apply sine and cosine ratios to situations involving non-acute angles

Sine, Cosine, and Tangent Ratios

### F: Students will solve problems involving the collection, display and analysis of data.

#### F.F1: analyze scatter plots, and determine and apply the equations for curves of best fit, using appropriate technology

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

Correlation last revised: 1/22/2020