Section outline

  • Algebra IA with Mastery Learning

  • Helpful links

    • Mastery Learning Information

    • Common questions and answers to the mastery learning process

    • List of all the Algebra IA objectives

    • Beginning of the year parent letter

    • Click here to log onto study island. The username is student's first name, last name, and middle initial @dallastownsd.net (all lowercase with no spaces).

  • Unit 1: From Patterns to Algebra

    • Parent letter for Unit 1

    • Objective 1: Define number sequence, constant difference, term, variable, expression, and equation

    • Illustrated  math dictionary

    • Objective 2: Use differences to identify patterns and make predictions in number sequences

    • Video for finding patterns in number sequences

    • Remediation for Unit 1 Objective 2

    • Objective 3: Use variables to represent unknown quantities including real world situations

    • Video for unit 1 objective 3

    • Remediation for Unit 1 Objective 3

    • Objective 4: Evaluate expressions using the algebraic order of operations

    • Video for order of operations

    • Remediation for Unit 1 Objective 4

    • Objective 5: Substitute values into algebraic expressions

    • Video for evaluating algebraic expressions through substitution

    • Remediation for Unit 1 Objective 5

    • Objective 6: Express large and small numbers in scientific notation

    • Video for converting from standard notation to scientific notation

    • Remediation for Unit 1 Objective 6

    • Objective 7: Express numbers from scientific notation to standard notation

    • Video for converting scientific notation to standard notation

    • Remediation for Unit 1 Objective 7

  • Unit 2: Graphing Points and Examining Linear Equations

    • Parent letter for Unit 2

    • Objective 1: Define linear equation, independent variable, dependent variable, negative correlation, positive correlation, scatterplot, line of best fit, coordinate plane, x-axis, and y-axis

    • Illustrated  math dictionary

    • Objective 2: Plot points and lines on a coordinate plane

    • Video for plotting points on a coordinate plane

    • Remediation for Unit 2 Objective 2

    • Objective 3: Represent linear patterns with equations

    • Video for recognizing linear functions through patterns

    • Remediation for Unit 2 Objective 3

    • Objective 4: Represent linear equations with graphs

    • Video for graphing equations of lines using a table of values

    • Remediation for Unit 2 Objective 4

    • Objective 5: Create a scatterplot

    • Video for creating a scatterplot

    • Remediation for Unit 2 Objective 5

    • Objective 6: Find the line of best fit

    • Video for creating a scatterplot and it's line of best fit

    • Remediation for Unit 2 Objective 6

    • Objective 7: Write an equation to model and predict based off the line of best fit

    • Video for using the line of best fit to predict values

    • Remediation for Unit 2 Objective 7

  • Unit 3: Operations with Real Numbers

    • Parent letter for unit 3

    • Objective 1: 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, and multiplicative inverse property

    • Illustrated  math dictionary

    • Objective 2: Compare real numbers

    • Video for comparing real numbers using a number line

    • Remediation for Unit 3 Objective 2

    • Objective 3: Simplify expressions involving opposites and absolute values

    • Video for finding the absolute value of integers

    • Remediation for Unit 3 Objective 3

    • Objective 4: Add numbers with like and unlike signs

    • Video for adding integers

    • Remediation for Unit 3 Objective 4

    • Objective 5: Subtract numbers with like and unlike terms

    • Video for subtracting integers

    • Remediation for Unit 3 Objective 5

    • Objective 6: Multiply and divide positive and negative numbers

    • Video for multiplying and dividing integers

    • Remediation for Unit 3 Objective 6

    • Objective 7: Evaluate expressions using order of operations

    • Video for using order of operations with integers

    • Remediation for Unit 3 Objective 7

  • Unit 4: Properties for Simplifying Algebraic Expressions

    • Parent letter for unit 4

    • Objective 1: Define commutative property of addition, commutative property of multiplication, associative property of addition, associative property of multiplication, distributive property, coefficient, constant, exponent, like terms, and base

    • Illustrated  math dictionary

    • Objective 2: Apply the commutative, associative, and distributive properties

    • Video for simplifying Algebraic Expressions

    • Remediation for unit 4 objective 2

    • Objective 3: Use distributive property to combine like terms

    • Video for using the distributive property with algebraic expressions

    • Remediation for unit 4 objective 3

    • Objective 4: Simplify expressions with multiple variables

    • Video  for simplifying expressions with multiple variables

    • Remediation for unit 4 objective 4

    • Objective 5: Multiply expressions containing variables

    • Video for multiplying algebraic expressions

    • Remediation for unit 4 objective 5

    • Objective 6: Divide expressions containing variables

    • Video for dividing algebraic expressions

    • Remediation for unit 4 objective 6

  • Unit 5: Solving Linear Equations

    • Parent letter for unit 5

    • Objective 1: Define subtraction property of equality, addition property of equality, solution, division property of equality, multiplication property of equality, and reciprocals

    • Illustrated  math dictionary

    • Illustrated  math dictionary

    • Objective 2: Solve equations by using addition

    • Remediation for unit 5 objective 2

    • Objective 3: Solve equations by using subtraction

    • Video for solving equations by addition and subtraction

    • Remediation for unit 5  objective 3

    • Objective 4: Solve equations by using multiplication

    • Remediation for unit 5  objective 4

    • Objective 5: Solve equations by using division

    • Video for solving equations using multiplication and division

    • Remediation for unit 5  objective 5

    • Objective 6: Determine if the solution is correct

    • Video for solving equations and checking the answer

    • Remediation for unit 5  objective 6

  • Unit 6: Writing and Solving Multistep Equations

    • Parent letter for unit 6

    • Objective 1: Write equations that represent real-world situations

    • Video for writing equations from word problems

    • Remediation for unit 6  objective 1

    • Objective 2: Solve two-step equations

    • Video for solving two step equations

    • Remediation for unit 6  objective 2

    • Objective 3: Write multistep equations

    • Video for writing multiple step equations from word problems

    • Remediation for unit 6  objective 3

    • Objective 4: Solve multistep problems

    • Video for solving multistep equations

    • Remediation for unit 6  objective 4

    • Objective 5: Use distributive property to solve equations

    • Video  for using the distributive property to solve equations

    • Remediation for unit 6  objective 5

    • Objective 6: Solve real-world problems by using multistep equations

    • Video for solving word problems with multistep equations

    • Remediation for unit 6  objective 6

  • Unit 7: Solving and Graphing Inequalities

    • Parent letter for unit 7

    • Objective 1: Identify inequality symbols

    • Video for identifying inequality signs

    • Objective 2: Solve inequalities that involve addition

    • Remediation for unit 7 objective 2

    • Objective 3: Solve inequalities that involve subtraction

    • Video for solving inequalities with addition or subtraction

    • Remediation for unit 7 objective 3

    • Objective 4: Graph an inequality

    • Video for graphing inequalities on a number line

    • Remediation for unit 7 objective 4

    • Objective 5: Write inequalities given real-world situations

    • Video for writing inequalities from word problems

    • Remediation for unit 7 objective 5

    • Objective 6: Interpret inequalities given real-world situations

    • Video for interpreting inequalities in word problems

    • Remediation for unit 7 objective 6

    • Objective 7: Apply the multiplication property of inequality

    • Video for using the multiplication property of inequality

    • Remediation for unit 7 objective 7

    • Objective 8: Apply the division property of inequality

    • Video for using the division property of inequality

    • Remediation for unit 7 objective 8

    • Objective 9: Solve two-step inequalities in one variable

    • Video for solving two step inequalities

    • Remediation for unit 7 objective 9

  • Unit 8: Proportions and Percents

    • Parent letter for unit 8

    • Objective 1: Define ratio, cross product property, unit rate, unit price, percent, and discount

    • Illustrated  math dictionary

    • Remediation for unit 8 objective 1

    • Additional Remediation for unit 8 objective 1

    • Objective 2: Solve proportions using cross multiplication

    • Video for solving proportions using cross multiplication

    • Remediation for unit 8 objective 2

    • Objective 3: Use proportions to solve problems

    • Video for solving proportions using cross multiplication

    • Remediation for unit 8 objective 3

    • Objective 4: Find equivalent fractions

    • Video for finding equal fractions

    • Remediation for unit 8 objective 4

    • Objective 5: Find equivalent decimals

    • Video for finding equivalent decimals

    • Remediation for unit 8 objective 5

    • Objective 6: Find equivalent percents

    • Video for finding equivalent percents

    • Remediation for unit 8 objective 6

    • Objective 7: Solve problems involving percents

    • Video for solving problems using percents

    • Remediation for unit 8 objective 7

  • Unit 9: Probability

    • Parent letter for unit 9

    • Objective 1: Define theoretical probability, favorable outcome, experimental probability, compound events, sample space, Venn diagram, intersection, addition of probabilities principle, and independent events

    • Illustrated  math dictionary

    • Remediation for Unit 9 Objective 1

    • Objective 2: Find the experimental probability that an event will occur

    • Video for finding experimental probability

    • Remediation for Unit 9 Objective 2

    • Objective 3: Find the theoretical probability that an event will occur

    • Video  for finding theoretical probability

    • Remediation for Unit 9 Objective 3

    • Objective 4: Find the sample space of an experiment

    • Video for finding the sample space of a probability experiment

    • Remediation for Unit 9 Objective 4

    • Objective 5: Find the union and intersection of events

    • Video for finding union and intersection of events

    • Remediation for Unit 9 Objective 5

    • Objective 6: Apply the addition of probabilities principle

    • Video for using the addition property of probability

    • Remediation for Unit 9 Objective 6

    • Objective 7: Find the probability of independent events

    • Video for finding the probability of independent events

    • Remediation for Unit 9 Objective 7

    • Objective 8: Find the probability for compound events

    • Video for probabilities of compound events

    • Remediation  for Unit 9 Objective  8

  • Unit 10: Measures of Central Tendencies

    • Parent letter for unit 10

    • Objective 1: Define mean, median, mode, range, stem-and-leaf plot, histogram, and box-and-whisker plot

    • Illustrated  math dictionary

    • Remediation for Unit 10 Objective 1

    • Objective 2: Find the mean of a set of data

    • Video for finding the mean of a data set

    • Remediation for Unit 10 Objective 2

    • Objective 3: Find the median of a set of data

    • Video for finding the median of a data set

    • Remediation for Unit 10 Objective 3

    • Objective 4: Find the mode of a set of data

    • Video for finding the mode of a data set

    • Remediation for Unit 10 Objective 4

    • Objective 5: Represent data using frequency tables

    • Video for creating a frequency table

    • Remediation for Unit 10 Objective 5

    • Objective 6: Interpret line graphs

    • Video for interpreting line graphs

    • Remediation for Unit 10 Objective 6

    • Objective 7: Interpret bar graphs

    • Video for interpreting bar graphs

    • Remediation for Unit 10 Objective 7

    • Objective 8: Interpret circle graphs

    • Video for reading and interpreting circle graphs

    • Objective 9: Represent data using circle graphs

    • Video for making a circle graph for a given set of data

    • Remediation for Unit 10  Objectives 8 and 9

    • Objective 10: Interpret stem-and-leaf plots

    • Video for interpreting stem and leaf plots

    • Remediation for Unit 10 Objective 10

    • Objective 11: Interpret histograms

    • Video for interpreting histograms

    • Remediation for Unit 10 Objective 11

    • Objective 12: Interpret box-and-whisker plots

    • Video for interpreting box and whisker plots

    • Remediation for Unit 10 Objective 12

    • Objective 13: Represent data with stem-and-leaf plots

    • Video for creating stem and leaf plots

    • Remediation for Unit 10 Objective 13

    • Objective 14: Represent data with histograms

    • Video for creating histograms

    • Remediation for Unit 10 Objective 14

    • Objective 15: Represent data with box-and-whisker plots

    • Video for creating a box and whisker plot

    • Remediation for Unit 10 Objective 15

  • Unit 11: Exponent Properties

    • Parent letter for unit 11

    • Objective 1: Define exponents, powers, base, coefficient, degree, and monomial

    • Illustrated  math dictionary

    • Objective 2: Simplify exponents using the product of powers property

    • Video for simplifying exponents using the product of powers property

    • Remediation for Unit 11 Objective 2

    • Objective 3: Simplify exponents using the power of a power property

    • Video for simplifying exponents using power of a power property

    • Remediation for Unit 11 Objective 3

    • Objective 4: Simplify exponents using the power of a product property

    • Video for simplifying exponents using the power of a product property

    • Remediation for Unit 11 Objective 4

    • Objective 5: Simplify exponents using the quotients of powers property

    • Video for simplifying exponents using quotients of powers property

    • Remediation for Unit 11 Objective 5

    • Objective 6: Simplify exponents using the powers of a quotient property

    • Video for simplifying exponents using the powers of a quotient property

    • Remediation for Unit 11 Objective 6

    • Objective 7: Simplify exponents using the zero exponent properties

    • Video for simplifying exponents using the zero exponent property

    • Remediation for Unit 11 Objective 7

    • Objective 8: Simplify exponents using the negative exponent properties

    • Video for simplifying exponents using the negative exponent property

    • Remediation for Unit 11 Objective 8

    • Objective 9: Simplify exponents using multiple properties

    • Video for simplifying exponents using multiple rules

    • Remediation for Unit 11 Objective 9

  • Unit 12: Word Problems

    • Parent letter for unit 12

    • Objective 1: Define literal equation, formula, consecutive, and integer

    • Illustrated  math dictionary

    • Remediation for Unit 12 Objective 1

    • Objective 2: Solve literal equation for a specific variable

    • Video for solving a literal equation for a specific variable

    • Remediation for Unit 12 Objective 2

    • Objective 3: Use formulas to solve problems

    • Video for solving formulas

    • Remediation for Unit 12 Objective 3

    • Objective 4: Set up and solve consecutive integer problems

    • Video for solving consecutive integer problems

    • Remediation for Unit 12 Objective 4

    • Objective 5: Solve distance problems

    • Video for solving distance problems

    • Remediation for Unit 12 Objective 5

    • Objective 6: Solve rate problems

    • Video for solving rate problems

    • Remediation for Unit 12 Objective 6

    • Objective 7: Solve time problems

    • Remediation for Unit 12 Objective 7

  • Unit 13: Functions and Relations

    • Parent letter for unit 13

    • Objective 1: Define relation, function, domain, and range

    • Illustrated  math dictionary

    • Objective 2: Be able to determine is a relation is a function given ordered pairs, a graph, or a table

    • Video for determining if a relation is a function

    • Remediation for Unit 13 Objective 2

    • Objective 3: Be able to identify the domain and range of a relation given ordered pairs or a table

    • Video for identifying domain and range from a set of ordered pairs

    • Remediation for Unit 13 Objective 3

    • Objective 4: Analyze a set of data for the existence of a pattern by completing a table or a sequence

    • Video for finding a pattern by completing a sequence

    • Remediation for Unit 13 Objective 4

    • Objective 5: Be able to express a pattern as an equation given a table

    • Video for expressing a pattern as an equation given a table

    • Remediation for Unit 13 Objective 5

  • Unit 14: Rational Expressions

    • Parent letter for unit 14

    • Objective 1: Simplify rational expressions

    • Remediation for Unit 14 Objective 1

    • Objective 2: Add rational expressions

    • Remediation for Unit 14 Objective 2

    • Objective 3: Subtract rational expressions

    • Remediation for Unit 14 Objective 3