N:\EHHS\MATH DEPARTMENT\2016-2017\Alg 2 Data Team 16-17\Alg 2PS 16-17\_ Summer Curriculum Work\1. Year Calendar & KHAN\2. KHAN Alignment 16-17.doc

KHAN Academy Task Bank (Algebra 2 PS 2016-2017)

Unit 1: Functions

Algebra 2

KHAN Academy Videos

KHAN Academy Practice

Aug 29

Domain & range of discrete functions

Functions: Recognizing Functions

Checking if a set of points represents a function

Does a vertical line represent a function?

Checking if two quantities represent a function: heights

Checking if two quantities represent a function: price and cost

Functions: Recognizing Functions

Recognize Functions from Graphs

Recognize Functions from Tables

Sept 5

Domain & range of continuous functions

Functions: Introduction to the domain and range of a function

Intervals & Interval Notation

What is the Domain of a Function?

What is the Range of a Function?

How to find the domain and range of a function given its graph (example)

Functions: Introduction to the domain and range of a function

Domain and Range from Graph

Sept 12

Function Notation and Evaluating Functions

Functions: Evaluating Functions

Evaluating a Function: formula

Evaluating a Function: Graph

Functions: Inputs and outputs of a function

How to match function input to output given the formula (example)

How to match function input to output given the graph (example)

How to find two function inputs with the same output given graph (example)

Functions: Interpreting function notation

How to interpret an expression with function notation (example with a function that models a bank account)

How to interpret an expression with function notation (example with a function that models the number of people at the beach)

Functions: Evaluating Functions

Evaluate Functions

Evaluate Functions from their graph

Functions: Inputs and outputs of a function

Match function inputs to outputs from a formula

Match function inputs to outputs from a graph

Functions: Interpreting function notation

Function notation interpretation word problems

Sept 19

Domain of Even Root and Rational Functions

Functions: Determining the domain of a function

Domain of Radical Functions

Domain of a Function

Functions: Determining the domain of a function

Determine the Domain of Functions

Sept 26

Adding, Subtracting, Multiplying, Dividing Functions

Manipulating Functions: Combining functions

Intro to Combining Functions (NOTES)

Adding Functions

Subtracting Functions

Adding and Subtracting Functions (NOTES)

Multiplying Functions

Dividing Functions

Multiplying and Dividing Functions (NOTES)

Functions: Evaluating Functions

How to evaluate an expression that contains function notation (example)

Functions: Evaluating Functions

Evaluate function expressions

Sept 26 CONT.

Function Composition

Manipulating Functions: Composing functions

Intro to composing functions

Intro to composing functions (NOTES)

Composing functions (NOTES)

Evaluating composite functions

Evaluating composite functions: using tables

Evaluating composite functions: using graphs

Manipulating Functions: Composing functions

Evaluate composite functions

Evaluate composite functions: graphs & tables

Oct 3

Unit 1 Review/End-of-Unit Test

Unit 2: Linear Functions

Algebra 2

KHAN Academy Videos

KHAN Academy Practice

Oct 3

(1 day)

Slope

Two-Variable Linear Equations: Slope

Intro to slope

Positive & negative slope

Proving slope is constant

Linear Equations & Functions: Slope

Slope & direction of a line

Intro to Slope (NOTES)

Slope Formula (NOTES)

Finding slope from a graph

Slope of a line: negative slope

Slope from two points: (4,2) & (-3,16)

Slope from two points: (7,-1) & (-3,-1)

Two-Variable Linear Equations: Slope

Slope from a graph

Linear Equations & Functions: Slope

Slope from two points

Slope from slope-intercept equation

Oct 10

Parallel, Perpend. Lines

Average rate of change

Graphing Lines and Slope: Slope of a line

Slope and rate of change

Linear Equations word problems: earnings

Functions: Average rate of change

Introduction to average rate of change

How to find the average rate of change from a graph (example)

How to find the average rate of change from a table (example)

How to find the average rate of change from a formula (example)

Functions: Average rate of change word problems

How to find the average rate of change of a modeling function from a table (example)

How to estimate the average rate of change of a modeling function from a graph (example)

How to represent the average rate of change of a modeling function as an expression (example)

Functions: Average rate of change

Finding average rate of change

Functions: Average rate of change word problems

Average rate of change word problems

Oct 17

Real world rate of change CONT.

y=mx+b

Point-Slope Form

Linear Equations and Functions: Intro to Slope-Intercept Form

Intro to slope-intercept form

Intro to slope-intercept form (NOTES)

Graph from slope-intercept form equation

Two-Variable Linear Equations: Graphing slope-intercept equations

Graphing slope-intercept form (NOTES)

Two-Variable Linear Equations: Standard Form

Intro to linear equation standard form

Converting from standard to slope-intercept form

Converting from slope-intercept form to standard form

Two-Variable Linear Equations: Point-Slope Form

Intro to point-slope form

Point-slope & slope-intercept equations

Two-Variable Linear Equations: Summary: Forms of 2-variable linear equations

Writing linear equations in all forms

Graphing Lines and Slope Graphing linear equations in slope-intercept form

Graph from slope-intercept equation

Converting to slope-intercept form

Graphing Lines and Slope Constructing equations in slope-intercept form

Slope-Intercept form problems (calculate m substitute to find b)

Slope-Intercept equation from a graph

Slope-intercept equation from slope & point

Finding a linear equation given a point and slope

Equation of a line from fractional slope and point

Slope-intercept equation from two points

Finding y-intercept given slope and point

Slope-intercept form from a table

Linear Equations and Functions: Intro to Slope-Intercept Form

Slope Intercept equation from graph

Two-Variable Linear Equations: Standard Form

Graph from linear standard form

Slope from linear standard form

Slope-intercept & standard form

Two-Variable Linear Equations: Point-Slope Form

Point-Slope form

Two-Variable Linear Equations: Summary: Forms of two-variable linear equations

Equation of a line: any form

Graphing Lines and Slope Graphing equations in slope-intercept form

Graph from slope-intercept form

Graphing Lines and Slope Constructing equations in slope-intercept form

Slope-Intercept equation from two points

Oct 24

Real World y=mx+b /

Point Slope Form (MATH138)

Linear Equations and Functions Word Problems: Constructing linear models for real-world relationships

Linear functions word problem: fuel

Linear functions word problem: pool

Linear functions word problem: iceberg

Linear functions word problem: paint

Linear Eq. and Functions Word Problems: Linear models word problems

Linear models word problem: book

Linear models word problem: marbles

Linear Equations and Functions Word Problems Constructing linear models for real-world relationships

Graphing linear functions word problems

Writing linear functions word problems

Linear Equations and Functions Word Problems: Linear models word problems

Linear models word problems

Unit 3: Systems of Equations

Algebra 2

KHAN Academy Videos

KHAN Academy Practice

Oct 31

Solving Systems by Graphing, Substitution, Elimination

Systems of Equations: Solving systems of equations

Systems of equations with graphing

Solving linear systems of equations by substitution

Solving linear systems of equations by elimination

How to solve a system of linear equations with elimination (advanced example)

Systems of Linear Equations: Introduction to systems of linear equations

Testing a solution to a system of equations

Systems of Linear Equations: Graphical representation of systems of equations

Systems of equations with graphing y=7/5x-5 & y=3/5x-1

How to solve a system of linear equations, both exactly and approximately (example)

Systems of Linear Equations: Equivalent systems of equations and the elimination

Systems of equations with elimination: x-4y=-18 & -x+3y=11

How to solve a system of linear equations with elimination (advanced example)

Why can we subtract one equation from the other in a system of equations?

How to identify equivalent systems of equations (example)

How to identify non-equivalent systems of equations (example)

Systems of Linear Equations: Solving systems of equations with substitution

Systems of equations with substitution: -3x-4y=-2 & y=2x-5

Systems of Linear Equations: The possible number of solutions of systems of linear equations

Systems of equations number of solutions: x+2y=13 & 3x-y=-11

Systems of equations number of solutions: 4x+2y=16 & y=-2x+8

Systems of Linear Equations: Analyzing the solutions to systems of equations

Number of solutions to a system of equations

Systems of equations number of solutions: 10x-2y=4 & 10x-2y=16

Number of solutions to a system of equations graphically

How to determine the number of solutions of a system of equations using algebraic reasoning (example)

How many solutions does a system of linear equations have if there are at least two?

Systems of Equations: Solving systems of equations

Systems of equations with graphing

Solve linear systems of equations

Systems of Linear Equations: Introduction to systems of linear equations

Test solutions to systems of equations

Systems of Linear Equations: Graphical representation of systems of equations

Systems of equations with graphing

Systems of Linear Equations: Equivalent systems of equations & elimination method

Systems of equations with elimination

Systems of equations with elimination challenge

Equivalent systems of equations

Systems of Linear Equations: Solving systems of equations with substitution

Systems of equations with substitution

Systems of Linear Equations: Analyzing the solutions to systems of equations

Number of solutions to a system of equations algebraically

Nov 7

Real World Standard Form / y=mx+b Systems

Systems of Equations: Systems of equations word problems

Systems of equations with elimination: apples and oranges

Systems of equations with substitution: shelves

Systems of Linear Equations: Introduction to systems of linear equations

Systems of equations: trolls, trolls (1 of 2)

Systems of Linear Equations: Graphical representation of systems of equations

Systems of equations: trolls, trolls (2 of 2)

Systems of Linear Equations: Equivalent systems of equations and the elimination

Systems of equations with elimination: Kings cupcakes

Systems of equations with elimination: potato chips

Systems of Linear Equations: Solving systems of equations with substitution

Systems of equations with substitution: potato chips

Systems of Linear Equations: The possible number of solutions of systems of linear equations

Systems of equations number of solutions: fruit prices (1 of 2)

Systems of equations number of solutions: fruit prices (2 of 2)

Systems of Linear Equations: Systems of linear equations word problems

How to solve a word problem with a system of equations (example)

How to solve word problem about system of equations w/ no solution (example)

Age word problem: Imran

Age word problem: Ben & William

Age word problem: Arman & Diya

Systems of equations with elimination: TV &DVD

Systems of equations with substitution: coins

Systems of equations with elimination: coffee and croissants

Systems of Linear Equations: Systems of linear equations word problems

Systems of equations word problems

Age word problems

Nov 14

Nov 21

Unit 3 Review/

End-of-Unit Test

(TG Break Week)

Unit 4: Linear Inequalities

Algebra 2

KHAN Academy Videos

KHAN Academy Practice

Nov 28

Solving Linear Inequalities

One-Variable Linear Inequalities: One-Step Inequalities

One-step inequalities examples

One-step inequalities: -5c < 15

One-Variable Linear Inequalities: Two-Step Inequalities

Two-step inequalities

One-Variable Linear Inequalities: Multi-Step Inequalities

Inequalities with variables on both sides

Inequalities with variables on both sides (with parentheses)

Multi-step inequalities

Two-Variable Linear Inequalities: Check solutions of 2-variable inequalities

Testing solutions to inequalities

One-Variable Linear Inequalities: One-Step Inequalities One-step inequalities

One-Variable Linear Inequalities: Two-Step Inequalities Two-step inequalities

One-Variable Linear Inequalities: Multi-Step Ineq. Multi-step linear inequalities

Two-Variable Linear Inequalities: Check solutions of 2-variable inequalities

Test solutions to inequalities

Test solutions to inequalities: graphically

Dec 5

Graphing Linear Inequalities

Compound Inequalities

Graphing Lines and Slope: Graphing Linear Inequalities

Intro to graphing two-variable inequalities

Solving and graphing linear inequalities in two variables 1

Graphing two-variable inequalities

Graphing inequalities 2

Two-variable inequalities from their graphs

One-Variable Linear Inequalities: Compound Inequalities

Compound inequalities 5z+7