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## Math Tutoring and Improving Your Grade

Tutoring is available during lunch on Mondays, Wednesdays and Fridays in my room D102.

The best way to improve your grade is by retaking a test or quiz.

Late assignments can be turned in for half credit.

## About Ms. Hernandez

Hello!  Thank you for visiting my website.  Let me tell you a little about me and our students.  I grew up and currently live in South Gate.  I earned my Bachelor's Degree in Mathematics from Mount St. Mary's College.  My teaching experience includes five years at Gage Middle School and one semester at South Gate High School.  This is my fifth year at Legacy.  My students are a great joy to teach!  They work harder to get smarter and recognize that mistakes are an opportunity to learn and proof that they are trying.  They enjoy working collaboratively with their peers, while teaching and learning from each other.  This school year, I am teaching Algebra 1 and Algebra 2.

During my free time I enjoy spending time with my two sons and husband.  My family is a true blessing and I am grateful to God for them.

# Mrs. Hernandez

## E-mail: sxa1305@lausd.net

To sign up for "Remind" text messages (texts of homework and texting teacher):  text @algebr1 to the number 81010

Algebra 1 and Algebra 2 Books and Syllabus
1/8/19 7:13 PM
8/13/18 10:14 PM
8/17/18 10:56 PM
8/17/18 10:57 PM

## Integer Practice Website

http://www.hoodamath.com/mobile/games/integerstimedtests.html

## Homework Help Khan Videos for Algebra 1

 Unit 2:  Functions Activity 5 Functions and Function Notation 5-1 Learning Targets: Represent relations and functions using tables, diagrams, and graphs. Identify relations that are functions. 5-2 Learning Targets: Describe the domain and range of a function. Find input-output pairs for a function. 5-3 Learning Targets: Use and interpret function notation. Evaluate a function for specific values of the domain. Relations and Functions What is a function? Relations and functions Recognizing functions (example 1) Domain and Range Domain and range of a relation Domain and range of a function Domain and range 1 Function Notation Evaluating with function notation Understanding function notation (example 1) Understanding function notation (example 2) Understanding function notation (example 3) Activity 6 Graphs of Functions 6-1 Learning Targets: Relate the domain and range of a function to its graph. Identify and interpret key features of graphs. 6-2 Learning Targets: Relate the domain and range of a function to its graph and to its function rule. Identify and interpret key features of graphs. 6-3 Learning Targets: Identify and interpret key features of graphs. Determine the reasonable domain and range for a real-world situation. Graphs of Functions Functions as graphs Domain and range from graphs Graphical relations and functions Testing if a relationship is a function Interpreting a graph exercise example Activity 7 Graphs of Functions 7-1 Learning Targets: Graph a function given a table. Write an equation for a function given a table or graph. 7-2 Learning Targets: Graph a function describing a real-world situation and identify and interpret key features of the graph. 7-3 Learning Targets: Given a verbal description of a function, make a table and a graph of the function. Graph a function and identify and interpret key features of the graph. Graphs of Functions Graphing exponential functions Interpreting a graph exercise example Activity 8 Transformations of Functions 8-1 Learning Targets: Identify the effect on the graph of replacing f(x) by f(x) + k. Identify the transformation used to produce one graph from another. N/A Activity 9 Rates of Change 9-1 Learning  Targets: Determine the slope of a line from a graph. Develop and use the formula for slope. 9-2 Learning  Targets: Calculate and interpret the rate of change for a function. Understand the connection between rate of change and slope. 9-3 Learning  Targets: Show that a linear function has a constant rate of change. Understand when the slope of a line is positive, negative, zero, or undefined. Identify functions that do not have a constant rate of change and understand that these functions are not linear. Slope Slope of a line Slope of a line 2 Slope of a line 3 Graphical slope of a line Slope example Slope and Rate of Change Slope and rate of change Activity 10 Linear Models 10-1 Learning Targets: Write and graph direct variation. Identify the constant of variation. 10-2 Learning Targets: Write and graph indirect variations. Distinguish between direct and indirect variation. 10-3 Learning Targets: Write, graph, and analyze a linear model for a real-world situation. Interpret aspects of a model in terms of the real-world situation. 10-4 Learning Targets: Write the inverse function for a linear function. Determine the domain and range of an inverse function. Variation Direct and inverse variation Recognizing direct and inverse variation Proportionality constant for direct variation Direct variation 1 Direct variation application Inverse Functions Introduction to function inverses Function inverse example 1 Function inverses example 2 Function inverses example 3 Activity 11 Arithmetic Sequences 11-1 Learning Targets: Identify sequences that are arithmetic sequences. Use the common difference to determine a specified term of an arithmetic sequence. 11-2 Learning Targets: Develop an explicit formula for the th term of an arithmetic sequence. Use an explicit formula to find any term of an arithmetic sequence. Write a formula for an arithmetic sequence given two terms or a graph. 11-3 Learning Targets: Use function notation to write a general formula for the th term of an arithmetic sequence. Find any term of an arithmetic sequence written as a function. 11-4 Learning Targets: Write a recursive formula for a given arithmetic sequence. Use a recursive formula to find the terms of an arithmetic sequence. Arithmetic Sequences Arithmetic sequences Explicit and recursive definitions of sequences Activity 12 Forms of Linear Functions 12-1 Learning Targets: Write the equation of a line in slope-intercept form. Use slope-intercept form to solve problems. 12-2 Learning Targets: Write the equation of a line in point-slope form. Use point-slope form to solve problems. 12-3 Learning Targets: Write the equation of a line in standard form. Use the standard form of a linear equation to solve problems. 12-4 Learning Targets: Describe the relationship among the slopes of parallel lines and perpendicular lines. Write an equation of a line that contains a given point and is parallel or perpendicular to a given line. Slope-Intercept Form Constructing linear equations to solve word problems Graphing a line in slope-intercept form Converting to slope-intercept form Multiple examples of constructing linear equations in slope-intercept form Slope-intercept form from table Constructing equations in slope-intercept form from graphs Graphing using x- and y-intercepts Graphing using intercepts x- and y-intercepts x- and y-intercepts 2 Finding x-intercept of a line Finding intercepts for a linear function from a table Interpreting intercepts of linear functions Point-Slope Form Linear equation from slope and a point Finding a linear equation given a point and slope Converting from point-slope to slope intercept form Constructing the equation of a line given two points Standard Form Linear equations in standard form Point-slope and standard form Slopes of Parallel and Perpendicular Lines Parallel lines 3   geometry Perpendicular lines  geoemtry Perpendicular lines 2  geometry Perpendicular line slope  geometry Activity 13 Equations from Data 13-1 Learning Targets: Use collected data to make a scatter plot. Determine the equation of a trend line. 13-2 Learning Targets: Use a linear model to make predictions. Use technology to perform a linear regression. 13-3 Learning Targets: Use technology to perform quadratic and exponential regressions, and then make predictions. Compare and contrast linear, quadratic, and exponential regressions. Scatter Plots Constructing a scatter plot Constructing scatter plot exercise example Correlation and causality Trend Lines Fitting a line to data Comparing models to fit data Estimating the line of best fit exercise Interpreting a trend line

## Algebra 2 Homework Help Khan Videos

 SB Activity Video(s) Unit 1:  Equations, Inequalities, Functions Activity 1 Creating Equations 1-1 Learning Targets: Create an equation in one variable from a real-world context. Solve an equation in one variable. 1-2 Learning Targets: Create equations in two variables to represent relationships between quantities. Graph two-variable equations 1-3 Learning Targets: Write, solve, and graph absolute value equations. Solve and graph absolute value inequalities. One-Variable Equations Representing a relationship with a simple equation Linear equation word problem Word problem: solving equations Solving equations with the distributive property Ex 2: Multi-step equation Variables on both sides Two-Variable Equations Constructing linear equations to solve word problems Exploring linear relationships Graphs of linear equations Application problem with graph Absolute Value Equations and Inequalities Absolute value equations Absolute value equations Absolute value equations 1 Absolute value equation example Absolute value equations example 1 Absolute value equation example 2 Absolute value equation with no solution Absolute Value Inequalities Absolute value inequalities Absolute value inequalities example 1 Absolute inequalities 2 Absolute value inequalities example 3 Activity 2 Graphing to Find Solutions 2-1 Learning Targets: Write equations in two variables to represent relationships between quantities. Graph equations on coordinate axes with labels and scales. 2-2 Learning Targets: Represent constraints by equations or inequalities. Use a graph to determine solutions of a system of inequalities. Writing Linear Equations Constructing linear equations to solve word problems Graphing and Interpreting Two-Variable Equations Graphing a line in slope intercept form Interpreting intercepts of linear functions Graphing Systems of Inequalities Graphing systems of inequalities Graphing systems of inequalities 2 Visualizing the solution set for a system of inequalities Activity 3 Systems of Linear Equations 3-1 Learning Targets: Use graphing, substitution, and elimination to solve systems of linear equations in two variables. Formulate systems of linear equations in two variables to model real-world situations. 3-2 Learning Targets: Solve systems of three linear equations in three variables using substitution and Gaussian elimination. Formulate systems of three linear equations in three variables to model a real-world situation. 3-3  Learning Targets: Add, subtract, and multiply matrices. Use a graphing calculator to perform operations on matrices. 3-4  Learning Targets: Solve systems of two linear equations in two variables by using graphing calculators with matrices. Solve systems of three linear equations in three variables by using graphing calculators with matrices. Solving Systems of Two Equations in Two Variables: Graphing Solving linear systems by graphing Solving systems graphically Graphing systems of equations Graphical systems application problem Example 2: Graphically solving systems Example 3: Graphically solving systems Solving Systems of Two Equations in Two Variables: Substitution Example 1: Solving systems by substitution Example 2: Solving systems by substitution Example 3: Solving systems by substitution The substitution method Substitution method 2 Substitution method 3 Practice using substitution for systems Solving Systems of Two Equations in Two Variables: Elimination Example 1: Solving systems by elimination Example 2: Solving systems by elimination Example 3: Solving systems by elimination Addition elimination method 1 Addition elimination method 2 Addition elimination method 3 Addition elimination method 4 Simple elimination practice Systems with elimination practice Consistent, Inconsistent, Dependent, and Independent Systems Consistent and inconsistent systems Independent and dependent systems Solving Systems of Three Equations in Three Variables Systems of three variables Systems of three variables 2 Solutions to three variable system Solutions to three variable system 2 Three equation application problem Matrix Operations Introduction to the matrix Representing data with matrices Matrix addition and subtraction Matrix multiplication introduction Multiplying a matrix by a matrix Defined and undefined matrix operations Solving Matrix Equations Matrix equations and systems Activity 4 Piecewise-Defined Functions 4-1 Learning Targets: Graph piecewise-defined functions. Write the domain and range of functions using interval notation, inequalities, and set notation. 4-2 Learning Targets: Graph step functions and absolute value functions. Describe the attributes of these functions. 4-3  Learning Targets: Identify the effect on the graph of replacing f(x) by f(x) + k, k · f(x), f(kx), and f(x + k). Find the value of k, given these graphs. Piecewise Defined Functions What is a function? Finding a piecewise function definition from graph Absolute Value Functions Graphs of absolute value functions Absolute value graphing exercise example Activity 5 Function Composition and Operations 5-1 Learning Targets: Combine functions using arithmetic operations. Build functions that model real-world scenarios. 5-2 Learning Targets: Write functions that describe the relationship between two quantities. Explore the composition of two functions through a real-world scenario. 5-3  Learning Targets: Write the composition of two functions. Evaluate the composition of two functions. Operations with Functions Sum of functions Difference of functions Product of functions Quotient of functions Composition of Functions Introduction to function composition Creating new function from composition Evaluating composite functions example Modeling with function composition Activity 6 Inverse Functions 6-1 Learning Targets: Find the inverse of a function. Write the inverse using the proper notation. 6-2 Learning Targets: Use composition of functions to determine if functions are inverses of each other. Graph inverse functions and identify the symmetry. Inverse Functions Introduction to function inverses Introduction to the inverse of a function Function inverse example 1 Function inverses example 2 Function inverses example 3
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