### General

**Facts about Mastery Learning in Algebra IB****Questions and answers about Algebra IB Mastery Learning Program.**

- General
### General

**Facts about Mastery Learning in Algebra IB****Questions and answers about Algebra IB Mastery Learning Program.**

- Topic 1
### Topic 1

**Note Packet for all Objectives in Unit 1****Review of all Objectives in Unit 1****Objective 1:****Define relation, function, domain, and range**Students should make flashcards to study the definitions for these four terms

**Online Website with Definitions of Math Terms****Power Point Describing Relations and Functions****Objective 2: Be able to determine if a relation is a function given ordered pairs or a table**Video for Domain and Range from a table and mapping diagram

**Practice for Objectives 2 and 4****Remediation for Objective 2****Objective 3: Be able to determine if a relation is a function given a graph**Video for the vertical line test

**Practice for Objectives 3 and 5****Remediation for Objective 3****Objective 4: Be able to identify the domain and range of a relation given a set of ordered pairs or a table**Identifying the domain and range from a set of points

**Study Guide for Finding the Domain and Range of Points****Extra Practice for Finding Domain and Range from Points****Remediation for Objective 4****Objective 5: Be able to identify the domain and range of a relation given a graph**Finding the domain and range of a graph

**Remediation for Objective 5****Objective 6: Analyze a set of data for the existence of a pattern by completing a table or sequence**Video for using a pattern to find the next two terms

**Practice for Objective 6****Remediation for Objective 6****Objective 7: Be able to express a pattern as an equation given a table**Video for finding an equation from a table

**Practice for Objective 7****Remediation for Objective 7****Enrichment For Unit 1****Enrichment Quiz Preparation Packet**

- Topic 2
### Topic 2

**Linear Functions****Unit 2 Letter to the Parents****Note Packet for all Unit 2 Objectives****Review of all Objectives in Unit 2****Extra Practice of all the Objectives****More Review of all Objectives****Objective 1: Define linear equation, slope, x-intercept, y-intercept, slope-intercept form, and standard form****Flash Cards to Review Unit 2 Vocabulary****Remediation for Objective 1****Objective 2: Identify the x-intercept and y-intercept given a graph**Finding intercepts given a graph

**Practice Worksheet for Objectives 2 and 3****Remediation for Objective 2****Objective 3: Identify the x-intercept and y-intercept given an equation**Video for finding intercepts from an equation

**Practice Worksheet for Objective 3****Extra Practice for Objective 3****Remediation for Objective 3****Objective 4: Determine the slope of a line given a graph**Video for finding slope of a line given a graph

**Practice Worksheet for Objective 4****Extra Practice for finding Slope from Lines and Points****Remediation for Objective 4****Objective 5: Determine the slope of a line given two points**Video for finding the slope given two points

**Practice Worksheet for Objective 5****Remediation for Objective 5****Objective 6: Determine the Slope of a Line Given an Equation**Video for finding the slope of a line given an equation

**Practice Worksheet for Objective 6****Remediation for Objective 6****Objective 7: Convert a Linear Equation to Slope-Intercept Form**Video for converting linear equations to slope-intercept form

**Practice Worksheet for Objective 7****Remediation for Objective 7****Objective 8: Convert a Linear Equation to Standard Form**Video for converting equations to standard form

**Practice Worksheet for Objective 8****Remediation for Objective 8****Preparation Packet for Unit 2 Enrichment Quiz**

- Topic 3
### Topic 3

# Graphing Lines

**Unit 3 Parent Letter****Notes for all Objectives in Unit 3****Review for all Objectives in Unit 3****Objective 1: Identify, describe, and/or use constant rates of change**Determine the rate of change for a linear function

**Practice Worksheet for Objective 1****Extra Practice with Rate of Change****Objective 1 Remediation Worksheet****Objective 2: Graph an Equation in Slope Intercept Form**Graphing a line from slope-intercept form

**Practice Worksheet for Objective 2****Unit 3 Objective 2 Extra Practice****Objective 2 Remediation Worksheet****Objective 3: Graph an Equation in Standard Form**Graphing lines from standard form

**Practice Worksheet for Objective 3****Unit 3 Objective 3 Extra Practice****Remediation Worksheet for Objective 3****Objective 4: Graph Horizontal and Vertical Lines**Video for graphing horizontal and vertical lines

**Practice Worksheet for Objectives 2 and 4****Remediation Worksheet for Objective 4****Preparation Packet for the Unit 3 Enrichment Quiz**

- Topic 4
### Topic 4

**Writing Equations of Lines****Parent Letter for Unit 4****Notes for Unit 4****Unit 4 Review of All Objectives***Objective 1*: Define parallel, perpendicular, reciprocal, and opposite number**Remediation for Objective 1***Objective 2*: Write or Identify a Linear Equation Given a GraphVideo for writing the equation of a line from a graph

**Practice Worksheet for Objectives 2 and 3****Additional Practice Worksheet for Objectives 2 and 3****Remediation for Objective 2***Objective 3*: Write or Identify the Equation of Horizontal and Vertical Lines Given a GraphWriting the equations for horizontal and vertical lines given their graph

**Practice Worksheet for Objectives 2 through 5****Remediation for Objective 3***Objective 4*: Write or Identify a Linear Equation Given a Slope and Point on the LineWriting linear equations given a slope and y-intercept

Video for writing the equation of a line given the slope and a point

**Practice Worksheet for Objectives 4 and 5****Remediation for Objective 4***Objective 5*: Write or Identify a Linear Equation Given Two Points on the LineWrite the equation of a line given two points

**Remediation for Objective 5***Objective 6*: Write the Equations of Parallel and Perpendicular LinesVideo for determining whether two lines are parallel

Video for writing equations of parallel lines

Video for determining if two lines are perpendicular

Video for writing the equations of perpendicular lines

**Practice Worksheet for Objective 6****Remediation for Objective 6***Objective 7*: Model a Situation with a Linear EquationVideo for modeling linear functions

**Remediation for Objective 7****Preparation Packet for Unit 4 Enrichment Quiz**

- Topic 5
### Topic 5

**Unit 5****Inequalities****Letter describing unit 5 to parents/ guardians****Packet of Notes Covering all Objectives for Unit 5****Packet Reviewing all Objectives for Unit 5***Objective 1*: Identify inequality symbols and define conjointed and disjointed*Objective 2*: Graph an Inequality on a Number LineVideo for graphing inequalities on a number line

**Practice Worksheet for Objective 2****Remediation for Objective 2***Objective 3*: Graph a Compound Inequality on a Number LineVideo for graphing compound inequalities on a number line

**Practice A worksheet for objective 3****Practice B worksheet for objective 3****Remediation for objective 3***Objective 4*: Solve Linear InequalitiesVideo for solving inequalities

**Practice worksheet for objective 4****Remediation for objective 4***Objective 5*: Solve Compound Linear InequalitiesVideo for solving 'and' compound inequalities

Video for solving 'or' compound inequalities

**Practice worksheet for objective 5****Remediation for objective 5***Objective 6*: Model Situations using Linear InequalitiesVideo for modeling situations using linear inequalities

**Practice worksheet for objective 6****Remediation A for objective 6****Remediation B for objective 6****Preparation Packet for Unit 5 Enrichment Quiz**

- Topic 6
### Topic 6

**Parent Letter for Unit 6****Notes for Unit 6****Review for all objectives in unit 6****Objective 1: Determine if a point is a solution to a system of equations**Video for deciding if a given point is a solution to a system of equations

**Practice Worksheet for Objective 1****Remediation Worksheet for Objective 1****Objective 2: Solve the system of equations using the graphing method**Video for solving a system of equations by graphing

Video for analyzing the solution for special system by graphing

**Practice Worksheet for Objective 2****Remediation Worksheet for Objective 2****Objective 3: Solve the system of linear equations using the substitution method**Video for solving systems using the substitution method

**Practice Worksheet for Objective 3****Remediation Worksheet for Objective 3****Objective 4: Solve a system of equations using the elimination method**Video for solving simple systems using elimination

Video for solving system using elimination multiplying first

**Practice Worksheet for Objective 4****Practice Worksheet for Objectives 3 and 4****Remediation Worksheet for Objective 4****Objective 5: Write, solve, and interpret the solution of a system of linear equations**Video for modeling situations using systems of equations

**Practice Worksheet for Objective 5****Remediation Worksheet for Objective 5**

- Topic 7
### Topic 7

**Unit 7****Systems of Inequalities****Parent/Guardian Letter****Notes for Unit 7****Review of all Objectives in Unit 7****Objective 1: Graph the solution to a linear inequality**Video for graphing a single two-variable inequality on a coordinate plane

**Practice Worksheet for Objective 1****Remediation worksheet for objective 1****Objective 2: Solve a System of Inequalities by Graphing**Video for graphing a system of inequalities

**Practice Worksheet for Objective 2****Remediation worksheet for objective 2****Objective 3: Determine whether a point is a solution to a system of inequalities**Video for determining whether a point is a solution for a system of inequalities

**Practice Worksheet for Objective 3****Remediation worksheet for objective 3****Objective 4: Write a linear inequality or system of inequalities given a graph**Video for writing a system of inequalities given a graph

**Practice Worksheet for Objective 4****Remediation worksheet for objective 4****Objective 5: Write, solve, and interpret systems of inequalities in the context of problem situations**Video for writing a system of inequalities to model a situation

**Practice Worksheet for Objective 5****Remediation worksheet for objective 5****Preparation packet for the unit 7 enrichment quiz**

- Topic 8
### Topic 8

**Parent Letter for Unit 8****Notes for Unit 8****Review of all objectives in unit 8****Objective 1**:**Simplifying exponents using the product-of -powers property**Video for product of powers property

Second video for product of powers property

**Remediation worksheet for objective 1****Objective 2**:**Simplify exponents using the power-of-a-power property**Video for using the power of a power property

**Remediation worksheet for objective 2****Objective 3**:**Simplify exponents using the power-of-a-product property**Video for using the power of a product property

**Practice worksheet for objectives 1 through 3****Remediation worksheet for objective 3****Objective 4**:**Simplify exponents using the quotient-of-powers property**Video for using the quotient of powers property

**Remediation for objective 4****Objective 5**:**Simplify exponents using the power-of-a-quotient property**Video for using the power of a quotient property

**Practice worksheet for objectives 4 and 5****Remediation worksheet for objective 5****Objective 6**:**Simplify exponents using the zero exponent property**Video for using the zero power property

**Remediation worksheet for objective 6****Objective 7**:**Simplify exponents using the negative exponent property**Video for using the negative power property

**Practice worksheet for objectives 6 and 7****Remediation worksheet for objective 7****Objective 8**:**Simplifying exponents using multiple properties**Video for simplifying expressions using multiple properties

**Practice worksheet for objective 8****Additional practice worksheet for objective 8****Remediation worksheet for objective 8****Enrichment packet to prepare for the quiz**

- Topic 9
### Topic 9

**Parent Letter for Unit 9****Notes Packet for Unit 9****Review for all Objectives in Chapter 9****Objective 1: Estimate a radical without using a calculator****Video for estimating a root without a calculator****Practice worksheet for objective 1****Remediation worksheet for objective 1****Objective 2: Simplify a Radical Expression****Video for simplifying square roots by dividing out the perfect squares****Video for simplifying square roots through prime factorization****Practice worksheet for objective 2****Remediation worksheet for objective 2****Objective 3: Add and subtract radicals****Video for adding and subtracting square roots****Practice worksheet for objective 3****Remediation worksheet for objective 3****Objective 4: Multiply Radicals****Video for multiplying and simplifying square roots****Practice worksheet for objective**4**Remediation worksheet for objective 4****Objective 5: Simplify Radical Expressions by Rationalizing the Denominator****Video for rationalizing the denominator using square roots****Practice worksheet for objectives 4 and 5****Additional practice worksheet for objectives 4 and 5****Review of objectives 1 through 5****Remediation worksheet for objective 5****Objective 6: Solving Equations using Square Roots****Video for solving equations by using the square root property****Practice worksheet for objective 6****Additional practice worksheet for objective 6****Remediation worksheet for objective 6****Practice problems for the enrichment quiz**

- Topic 10
### Topic 10

**Objective 1: Classify a polynomial by degree and number of terms****Video for classifying polynomials****Practice worksheet for objective 1****Remediation worksheet for objective 1****Objective 2: Add polynomials and express answers in simplest terms****Video for adding and subtracting polynomials****Remediation worksheet for objective 2****Objective 3: Subtract polynomials and express answer in simplest form****Practice worksheet for objectives 2 and 3****Remediation worksheet for objective 3****Objective 4: Multiply polynomial expressions by a monomial and write the answer in simplified form****Video for multiplying a monomial by a polynomial****Practice worksheet for objective 4****Remediation worksheet for objective 4****Objective 5: Multiply two binomials and write the answer in simplified form****Video for multiplying binomials using FOIL****Video for multiplying binomials using the boxes****Practice worksheet for objective 5****Remediation worksheet for objective 5****Objective 6: Multiply a binomial times a trinomial and write the answer in simplified form****Video for multiplying binomials and trinomials****Practice worksheet for objective 6****Remediation worksheet for objective 6****Objective 7: Use multiple operations to simplify a polynomial****Practice worksheet for objective 7****Remediation worksheet for objective 7****Enrichment practice to prepare for quiz**

- Topic 11
### Topic 11

**Parent Letter for Unit 11****Notes for Unit 11****Review Worksheet for Unit 11****Objective 1: Find the GCF of two monomials****Video for finding the greatest common monomial****Practice worksheet for objective 1****Remediation worksheet for objective 1****Objective 2: Factor a polynomial using the GCF****Video for factoring a monomial out of a polynomial****Practice worksheet for objective 2****Remediation worksheet for objective 2****Objective 3: Factor a difference of squares****Video for factoring the difference of squares****Practice worksheet for objective 3****Remediation worksheet for objective 3****Objective 4: Factor a polynomial into two binomials****Video for factoring trinomials into two binomials****Practice worksheet for objective 4****Remediation worksheet for objective 4****Objective 5: Factor out a GCF then factor the polynomial into binomials****Video for factoring out a monomial before factoring into binomials****Practice worksheet for objective 5****Remediation worksheet for objective 5****Objective 6: Utilize all of the factoring techniques in a variety of problems****Video for factoring using multiple methods****Practice worksheet for objective 6****Remediation worksheet for objective 6**

- Topic 12
### Topic 12

**Keystone Preparation****Link to online information, help and scoring guidelines for the Pennsylvania Keystone****Official Keystone Formula Sheet for Algebra I****Notes packet for module 1****Video for solving equations and inequalities****Practice worksheet for solving equations and inequalities****Video for solving systems of equations by substitution****Video for solving systems of equations by elimination****Practice worksheet for solving systems of equations****Video for writing a system of equations from a word problem****Video for solving systems of equations by graphing****Application of linear systems part 1****Applications for linear systems part 2****Video for graphing linear inequalities****Video for graphing systems of inequalities****Practice worksheet for graphing inequalities and systems of inequalities****Notes for Module 2****Filled in notes for Module 2****Video for identifying domain and range given points****Video for identifying domain and range given a graph****Practice worksheet for domain and range****Video for graphing a line in slope-intercept form****Video for transforming an equation from standard form to slope-intercept form to graph****Practice worksheet for graphing lines****Video for writing the equations of lines given a graph, a point and slope, or two points****Practice worksheet for writing the equations of lines****Video for creating scatterplots and finding the equation for the line of best fit****Practice worksheet for scatterplots and lines of best fit****Video for creating a stem-and-leaf plot****Video for creating a box-and-whisker plot****Practice worksheet for stem and leaf and box and whisker plots****Review Topics for Extensions Classes**

- Topic 14
### Topic 14

### Unit 1 16_17

#### Operations with Real Numbers

Objective 1 – Identify or define natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers, absolute value, identity property of addition, additive property of addition, definition of subtraction(add the opposite), identity property of multiplication, multiplicative inverse property-

Objective 2 – Add and subtract numbers with like and unlike signs

Objective 3 - Multiply and divide positive and negative numbers

Objective 4 - Simplify expressions involving opposites and absolute values

Objective 5 – Compare and order real numbers

Objective 6 – Evaluate expressions using order of operations (with calc)