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: 9/16/2020