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- HSF-IF.C.7Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*
- HSF-IF.C.8Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
- HSF-IF.C.9Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.

Writing Linear Equations (Day 1 of 2)

Algebra I

Â» Unit:

Linear & Absolute Value Functions

Big Idea:Students will analyze the different components of slope intercept form, and the purpose of each component in the entire equation.

Solving Systems by Graphing

Algebra I

Â» Unit:

Systems of Equations

Big Idea:As students gain confidence in graphing - and interpreting the intersection points on - systems of equations, we continue to see how this skill relates to guess and check.

Graphing Parallel and Perpendicular Lines (Day 2 of 2)

Algebra I

Â» Unit:

Graphing Linear Functions

Big Idea:Students will connect the main ideas from the previous four lessons to write the equations of parallel and perpendicular lines using given information.

Logs, Loans, and Life Lessons!

Algebra II

Â» Unit:

Exponential and Logarithmic Functions

Big Idea:This engaging lesson weaves together logarithms, loans, and life lessons!

What if We Start With the Axis of Symmetry?

Algebra I

Â» Unit:

Quadratic Functions

Big Idea:An investigation of the relationship between the discriminant and the axis of symmetry lays foundations for students to understand the quadratic formula.

Graphing Linear Functions Using Given Information

Algebra I

Â» Unit:

Graphing Linear Functions

Big Idea:Students calculate slope and y-intercept before graphing a linear function on a coordinate plane.

Using Points to Determine the Shape of a Graph

Algebra I

Â» Unit:

Linear and Exponential Functions

Big Idea:In order to get a broad picture of functions and their graphs, we go a bit beyond just the linear and exponential functions that are the foci of this unit.

Further Exploration of Distance Functions

12th Grade Math

Â» Unit:

Absolute Value Functions and More Piecewise Functions

Big Idea:Are there function rules to fit these relationships? Students apply prior knowledge to a new problem and find functions to fit their data. The optional use of technology allows them to check models on their own.

Graphing Linear Systems of Equations (Day 1 of 2)

Algebra I

Â» Unit:

Systems of Linear Equations

Big Idea:Students will discover that intersecting lines on a coordinate plane share a common solution, forming a system of equation.

Function Zoo - Basic Function Families

12th Grade Math

Â» Unit:

Basic Functions and Equations

Big Idea:Students use their animal kingdom knowledge and organizational skills to make sense of the many types of functions we will see in this course.

Running and the Domain of Middle Earth: Modeling a Run and a Hobbit's Journey through Piece-wise Functions

Algebra I

Â» Unit:

Everything is Relative: Linear Functions

Big Idea:Students model the many adventures of hobbit Frodo Baggins while exploring the concept of domain AND learning how to graph piece-wise functions!

Absolute Value Equations and Inequalities

12th Grade Math

Â» Unit:

Absolute Value Functions and More Piecewise Functions

Big Idea:Put it all together -- students use a lot of strategies and make a lot of connections to hopefully demonstrate their mastery of the skills and ideas of this unit.

FInal Discussion - "Demystifying e" PLUS Skills Practice with Logarithms

Algebra II

Â» Unit:

Exponential and Logarithmic Functions

Big Idea:This lesson builds on the âconcept levelâ understanding that the students have obtained on âeâ and extends that knowledge to skills practice and the natural logarithm function. It also focuses on mathematics specific readings strategies.

Exploring Distance Functions

12th Grade Math

Â» Unit:

Absolute Value Functions and More Piecewise Functions

Big Idea:Instead of memorizing the definition of absolute value, students work with the concept of distance and the number line to develop transformed absolute value functions.

Sometimes, Always, Never with Absolute Value

12th Grade Math

Â» Unit:

Absolute Value Functions and More Piecewise Functions

Big Idea:How can you test your theories? Students work at different levels of abstraction, either working with numerical examples or algebraic generalizations.

HSF-IF.C.7a

Graph linear and quadratic functions and show intercepts, maxima, and minima.

HSF-IF.C.7b

Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

HSF-IF.C.7c

Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

HSF-IF.C.7d

(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

HSF-IF.C.7e

Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.