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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

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Algebra 1 and Algebra 2 Books and Syllabus

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

Equations 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

Notes