Section
1.1 Using Variables
Anchors
A1.1.1.3.1
Skills
1.1.1 Write a Variable Expression to Represent a Given Situation
1.1.2 Given a Table of Values, Write a Variable Expression
1.2 Exponents and Order of Operations
A1.1.1.3.1
1.2.1 Simplify an Expression Using Order of Operations
1.2.2 Evaluate an Variable Expression Using Given Values
1.3 Exploring Real Numbers
A1.1.1.1.1
1.3.1 Determine Which Set (Integers, Rationals, etc.) a Given Number Belongs To.
1.3.2 Give an Example of a Number, Given a Set (Integers, Rationals, etc.)
1.3.3 Use Rationals, Integers, etc. to Represent a Given Situation
1.3.4 Compare (<, >, =) Rational Numbers (May Include Absolute Values)
1.3.5 Order a Set of Rational Numbers from Least to Greatest or from Greatest to Least
1.3.6 Find the Absolute Value of a Rational Number
1.4 Patterns and Functions
1.5 Scatter Plots
1.6 Mean, Median, Mode, and Range
A1.2.1.1.1
1.4.1 Write a Function Rule for a Table of Values
A1.2.1.1.2
1.4.2 Identify the Dependent and Independent Quantity in a Given Situation
A1.2.1.1.3
1.4.3 Given a Function Rule, Construct a Table of Values
A1.2.3.2.2
A1.2.3.2.1
1.5.1 Analyze data, make predictions, and/or answer questions based on displayed data (box-and-whisker plots,
stem-and-leaf plots, scatter plots, measures of central tendency, or other representations).
1.5.2 Estimate or calculate to make predictions based on a circle, line, bar graph, measures of central tendency, or
other representations
A1.2.3.2.2
1.5.3 Make predictions using the equations or graphs of best-fit lines of scatter plots.
A1.2.3.1.1
1.6.1 Find the Mean, Median, Mode, and Range for a Given Set of Values
1.6.2 Find the Missing Value of a Data Set Given the Remaining Values and the Mean
1.6.3 Construct a Stem-and-Leaf Plot Given a Set of Values
1.6.4 Find the Mean, Median, Mode, and Range Given a Stem-and-Leaf Plot
2.1 Adding Rational Numbers
A1.1.1.1.1
2.1.1 Write an Expression Modeled on a Number Line
2.1.2 Simplify Expressions Involving Addition of Rational Numbers (May Include Abs. Value)
2.1.3 Evaluate Variable Expressions Involving Addition of Rational Numbers
2.1.4 Given a Matrix, Add Corresponding Elements
2.2 Subtracting Rational Numbers
A1.1.1.1.1
2.2.1 Draw a Number Line Model for a Rational Number Subtraction Problem
2.2.2 Simplify Expressions Involving Subtraction of Rational Numbers
2.2.3 Evaluate Variable Expressions Involving Subtraction of Rational Numbers
2.2.4 Simplify Expressions Involving Absolute Value
2.2.5 Evaluate Variable Expressions Involving Absolute Value
2.3 Multiplying and Dividing Rational Numbers
A1.1.1.1.1.
2.3.1 Simplify Expressions Involving Multiplication of Rational Numbers
A1.1.1.3.1
2.3.2 Evaluate Variable Expressions Involving Multiplication of Rational Numbers
2.3.3 Simplify Expressions Involving Powers of Integers
2.3.4 Simplify Expressions Involving Division of Rational Numbers
2.3.5 Evaluate Variable Expressions Involving Division of Rational Numbers
2.4 The Distributive Property
A1.1.1.3.1
2.4.1 Simplify Numerical Expressions Using the Distributive Property
2.4.2 Model and Solve Real-World Problems Using the Distributive Property
2.4.3 Simplify Variable Expressions Using the Distributive Property
2.5 Properties of Numbers
A1.1.1.3.1
2.5.1 Given an Equation, Name the Property Demonstrated
A1.1.2.1.2
2.5.2 Simplify Expressions Using Various Properties of Real Numbers
2.5.3 Given a Step-by-Step Simplification of an Expression, Name the Properties Used
2.5.4 Determine Whether Two Variable Expressions are Equivalent
2.6 Theoretical and Experimental Probability
A1.2.3.3.1
2.6.1 Given an Event, find the Theoretical Probability (Spinner, Table of Values, etc.)
2.6.2 In any Given Situation, Determine the Complement of an Event
2.6.3 Determine the Odds in Favor or Against a Given Event.
2.6.4 Given an Event, Determine the Experimental Probability and Apply it to Real World Situations
2.7 Probability of Compound Events
A1.2.3.3.1
2.7.1 Find the Probability of Independent Events (With Replacement)
2.7.2 Find the Probability of Dependent Events (Without Replacement)
3.1 Solving Two-Step Equations
A1.1.2.1.1
3.1.1 Solve a Variable Equation by Adding/Subtracting then Multiplying/Dividing
A1.1.2.1.2
3.1.2 Write and Solve a Two-Step Variable Equation to Model a Given Situation
A1.1.2.1.3
3.2 Solving Multi-Step Equations
A1.1.2.1.1
3.2.1 Solve a Variable Equation Involving Multiple Steps (Variable on One Side)
A1.1.2.1.2
3.2.2 Write and Solve a Multi-Step Variable Equation to Model a Given Situation
A1.1.2.1.3
3.3 Equations with Variables on Both Sides
3.4 Ratio and Proportion
3.5 Proportions and Similar Figures
A1.1.2.1.1
3.3.1 Solve Equations With Variables on Both Sides
A1.1.2.1.2
3.3.2 Write and Solve an Equation with Variables on Both Sides to Model a Given Situation
A1.1.2.1.3
3.3.3 Determine Whether an Equation has a Solution, is an Identity, or has No Solution
A1.1.2.1.1
3.4.1 Find a Unit Rate
A1.1.2.1.2
3.4.2 Convert Standard Units of Measure
A1.1.2.1.3
3.4.3 Solve Proportions for a Variable Value Using Cross-Multiplication
A1.1.2.1.1
3.5.1 Given Similar Figures, Identify the Corresponding Sides and Angles
A1.1.2.1.2
3.5.2 Find a Missing Length Given a Pair of Similar Figures (Proportions)
A1.1.2.1.3
3.5.3 Use Similar Figures to Model and Solve Real-World Problems
3.6 Equations and Problem Solving
A1.1.2.1.1
3.6.1 Model and Solve Real-World Problems (Length, D=RT, Consecutives Integers., etc)
A1.1.2.1.2
A1.1.2.1.3
3.7 Percent of Change
A1.1.1.3.1
3.7.1 Find a Percent of Change and Describe It as an Increase or a Decrease
3.7.2 Find the Percent of Increase/Decrease in a Real-World Problem
3.7.3 Find Percent Error in a Given Measurement
3.8 Finding and Estimating Square Roots
A1.1.1.1.2
3.8.1 Simplify Square Roots (Perfect Squares/ Rationals Made From Perfect Squares)
A1.1.1.4.1
3.8.2 Determine Whether a Square Root Expression is Rational or Irrational
3.8.3 Use a Calculator to Estimate an Irrational Square Root
3.9 The Pythagorean Theorem
11.1 Simplifying Radicals
3.9.1 Find the measure of a side of a right triangle using the Pythagorean Theorem
2.10.A1.A
3.9.2 Solve problems involving from the Pythagorean Theorem.
A1.1.1.1.2
11.1.1 Simplify Radical Expressions (Factor Out Perfect Square)
11.1.2 Multiply and Divide Radicals
11.1.3 Simplify Fractions in Radicals (Factor out Perf. Square/Rationalize the Denominator)
3.9 The Pythagorean Theorem
A1.1.1.3.1
3.9.1 Find the Missing Length in a Right Triangle (May Involve Estimating/Irrationals)
3.9.2 Apply the Pythagorean Theorem to Real-World Situations
4.1 Inequalities and Their Graphs
A1.1.3.1.2
4.1.1 Determine if a Given Number is a Solution to a Given Inequality
A1.1.3.1.3
4.1.2 Match an Inequality with the Graph of its Solution Set
4.1.3 Given an Inequality, Graph its Solution Set
4.1.4 Model a Real-World Situation Using Inequalities
4.1.5 Write an Inequality in Words
4.2 Solving Inequalities - Addition/Subtraction
4.3 Solving Inequalities - Multiplication/Division
A1.1.3.1.2
4.2.1 Solve an Inequality Using Addition or Subtraction and Solve
A1.1.3.1.3
4.2.2 Model Real-World Situations with a One-Step Inequality (Add./Sub.) and Solve
A1.1.3.1.2
4.3.1 Solve an Inequality Using Multiplication or Division (May Include Negatives)
A1.1.3.1.3
4.3.2 Write a Set of Solutions to a Given Inequality
4.3.3 Model a Real-World Situation Using a One-Step Inequality (Mult./Div.) and Solve
4.4 Solving Multi-Step Inequalities
4.5 Compound Inequalities
A1.1.3.1.2
4.4.1 Solve Multi-Step Inequalities (May Include Negatives)
A1.1.3.1.3
4.4.2 Model a Real-World Situation Using a Multi-Step Inequality and Solve
A1.1.3.1.1
4.5.1 Write a Compound Inequality to Model a Given Situation
4.5.2 Solve a Compound Inequality (And/Or)
4.5.3 Write a Compound Inequality to Represent a Given Solution-Set Graph
4.6 Absolute Value Equations and Inequalities
A1.1.3.1.1
4.6.1 Solve an Equation Involving Absolute Value
4.6.2 Solve Inequalities Involving Absolute Value
4.6.3 Model a Real-World Situation Using an Absolute Value Equation/Inequality and Solve
5.1 Relating Graphs to Events
A1.2.3.2.2.
5.1.1 Analyze a Given Graph Relating Two Variables
5.1.2 Sketch a Graph to Model a Real-World Relationship Between Two Variables
5.2 Relations and Functions
A1.2.1.1.2
5.2.1 Draw a Mapping Diagram for a Set of Ordered Pairs
5.2.2 Determine if a Set of Ordered Pairs is a Function
5.2.3 Use the Vertical Line Test to Determine if a Relation is a Function
5.2.4 Given an Equation and Domain of a Function, Find the Range
5.2.5 Given a Table of Values, Determine if a Relation is a Function
5.3 Function Rules, Tables, and Graphs
A1.2.1.1.1
5.3.1 Given an Equation, Construct a Graph and a Table of Values
A1.2.3.2.2
5.3.2 Model a Real-World Situation with an Equation, Graph, or Table
A1.2.1.2.1
5.4 Writing a Function Rule
6.1 Rate of Change and Slope
A1.2.1.1.1
5.4.1 Write a Function Rule for a Table of Values
A1.2.3.2.2
5.4.2 Write a Function Rule to Model a Real-World Situation.
A1.2.1.2.1
5.4.3 Make a Table of Values Given the Graph of a Function
A1.2.2.1.4
6.1.1 Find the Constant Rate of Change Given a Table of Values
6.1.2 Find the Constant Rate of Change (Slope) Given the Graph of a Line
6.1.3 Find the Slope of a Line Given Two Points on the Line
6.1.4 Given a Graph, Determine if a Slope is Zero or Undefined
6.1.5 Given a Slope and a Point on the Line, Sketch the Line
6.2 Slope-Intercept Form
A1.2.2.1.3
6.2.1 Given the Equation of a Line in Slope-Intercept Form, State the Slope and Y-Intercept
6.2.2 Given the Slope and Y-Intercept of a Line, Write the Slope-Intercept Equation
6.2.3 Given the Graph of a Line, Write the Slope and Y-Intercept
6.2.4 Given the Equation (Slope-Intercept) of a Line, Sketch a Graph
6.2.5 Given the Equation of a Line (Not Slope-Intercept Form), Find the Slope & Y-Intercept
6.3 Applying Linear Functions
A1.2.2.1.3
6.3.1 Model and Solve Real-World Problems with a Linear Function
6.3.2 Analyze a Linear Graph that Models a Real-World Problem
6.4 Standard Form
A1.2.2.1.3
6.4.1 Find the X- and Y-Intercepts of a Linear Equation in Standard Form
6.4.2 Graph the Equation of a Line Given in Standard Form Using X- and Y-Intercepts
6.4.3 Graph Horizontal and Vertical Lines Given Their Equation
6.4.4 Put an Equation Given in Slope-Intercept Form Into Standard Form
6.5 Point-Slope Form/Writing Linear Equations
A1.2.2.1.3
6.5.1 Graph a Line Given Its Point-Slope Equation
6.5.2 Write a Point-Slope Equation of a Line Given its Slope and a Point on the Line
6.5.3 Write a Point-Slope Equation of a Line Given Two Points on the Line
6.5.4 Determine if a Table of Values Shows a Linear Relationship
6.5.5 Write a Standard Form Equation of a Line Given Two Points on the Line
6.6 Parallel and Perpendicular Lines
A1.2.2.1.3
6.6.1 Find the Slope of a Line Given its Equation (Any Form)
6.6.2 Determine if Two Lines are Parallel/Perpendicular/Neither Given Their Equations
6.6.3 Given the Equation of a Line, Write the Slope of a Line that is Parallel/Perpendicular
6.6.4 Write the Equation of a Line Given a Line it is Parallel/Perp. to & a Point on the Line
6.6.5 Given the Graphs of Two Lines that are Parallel/Perpendicular, Write Their Equations
6.7 Scatter Plots and Equations of Lines
7.1 Solving Systems by Graphing
A1.2.2.2.1
6.7.1 Given a Scatter Plot, Write the Equation of a Best-Fit (Trend) Line
A1.2.2.2
6.7.2 Given a Table of Values, Make a Scatter Plot and Write the Equation of a Trend Line
A1.1.2.2.1
7.1.1 Solving a system of equations
A1.1.2.2.2
7.1.2 Interpreting solutions
7.1.3 Systems with no solution
7.1.4 systems with infinitely many solutions
7.2 Solving Systems Using Substitution
7.3 Solving Systems Using Elimination
A1.1.2.2.1
7.2.1 Using substitution
A1.1.2.2.2
7.2.2 Using substitution and the distributive property
A1.1.2.2.1
7.3.1 Adding equations
A1.1.2.2.2
7.3.2 Multiplying one equation
7.3.3 Multiplying both equations
7.4 Applications of Linear Systems
7.5 Linear Inequalities
A1.1.2.2.1
7.4.1 Writing systems of linear equations
A1.1.2.2.2
7.4.2 Finding a break-even point
A1.1.3.2.1
7.5.1 Graphing an inequality
A1.1.3.2.2
7.5.2 Rewriting to graph in inequality
7.5.3 Modeling real-world situations
7.6 Systems of Linear Inequalities
A1.1.3.2.1
7.6.1 Graphing a system of inequalities
A1.1.3.2.2
7.6.2 Writing a system of inequalities from a graph
7.6.3 Writing and using a system of inequalities
8.1 Zero and Negative Exponents
A1.1.1.3.1
8.1.1 Simplify Expressions with Zero/Negative Exponents
8.1.2 Evaluate Variable Expressions Involving Zero/Negative Exponents
8.2 Scientific Notation
A1.1.1.3.1
8.2.1 Determine if a Numerical Expression is Written in Scientific Notation
8.2.2 Write a Number Given in Standard Notation in Scientific Notation
8.2.3 Write a Number Given in Scientific Notation in Standard Notation
8.2.4 Order Numbers Given In Scientific Notation
8.2.5 Simplify Numerical Expressions and Write in Scientific Notation
8.3 Multiplication Properties of Exponents
A1.1.1.3.1
8.3.1 Simplify Expressions Involving the Multiplication of Powers (Variables Included)
8.3.2 Simplify Expressions Involving the Multiplication Of 2 Numbers in Scientific Notation
8.3.3 Complete an Equation Involving Multiplication of Powers (Missing Exponent)
8.4 More Multiplication Properties of Exponents
A1.1.1.3.1
8.4.1 Simplify Expressions Involving Powers Raised to a Power (Variables Included)
8.4.2 Given a Number in Scientific Notation Raised to a Power, Rewrite in Sci. Notation
8.4.3 Complete an Equation Involving Powers Raised to a Power (Missing Exponent)
8.5 Division Properties of Exponents
A1.1.1.3.1
8.5.1 Complete an Equation Involving Division of Powers (Missing Exponent)
8.5.2 Simplify Expressions Involving the Division of Powers (Variables Included)
8.5.3 Simplify Expressions Involving the Division of 2 Numbers in Scientific Notation
8.5.4 Simplify Any Variable Expression Involving Multiplication, Division, and Exponents
9.1 Adding and Subtracting Polynomials
A1.1.1.5.1
9.1.1 Find the Degree of a Monomial
9.1.2 Name an Expression Base on its Degree and # of Terms (ex. 4th Degree Trinomial)
9.1.3 Write a Polynomial in Standard Form
9.1.4 Add Two Polynomials (Horizontally and Vertically)
9.1.5 Subtract Two Polynomials (Horizontally and Vertically)
9.2 Multiplying and Factoring
A1.1.1.5.1
9.2.1 Multiply a Monomial by a Polynomial
A1.1.1.2.1
9.2.2 Find the GCF of a Polynomial
A1.1.1.5.2
9.2.3 Factor a GCF out of a Polynomial
9.2.4 Simplify Expressions (Multiplication of a Monomial and Polynomial & Like Terms)
9.3 Multiplying Binomials
A1.1.1.5.1
9.3.1 Use Various Methods (Distributive, FOIL, etc.) to Multiply Two Binomials
9.3.2 Apply the Multiplication of Two Binomials to Find Area
9.4 Multiplying Special Cases
A1.1.1.5.1
9.4.1 Square a Binomial Using the FOIL Method
9.4.2 Multiply Two Binomials that Result in the Difference of Two Squares
9.4.3 Use the Difference of Two Squares to Simplify Numeric Expressions
9.5 Factoring Trinomials x² + bx + c
A1.1.1.5.2
9.5.1 Factor Trinomials of the Form x² + bx + c ( Where b or c or Both can be Negative)
9.5.2 Factor Trinomials of the Form x² + bxy + cy² (Where b or c or Both can be Negative)
9.6 Factoring Trinomials ax^2+bx+c
A1.1.1.5.2
9.6.1 Factor Algebraic Expressions...
9.7 Factoring Special Cases
A1.1.1.5.2
9.7.1 Factor Perfect-Square Trinomials
9.7.2 Factor the Difference of Two Squares
9.7.3 Factor out a GCF, then Factor Perfect-Square Trinomial or Difference of Two Squares
9.8 Factoring by Grouping
A1.1.1.5.2
9.8.1 Factor by Grouping
11.1 Simplifying Radicals
A1.1.1.3.1
11.1.1 Removing perfect-square factors
11.1.2 Removing variable factors
11.1.3 Multiplying two radicals
11.1.4 Simplifying fractions within radicals
11.1.5 Simplifying radicals by dividing
11.1.6 Rationalizing a denominator
11.2 Operations With Radical Expressions
A1.1.1.3.1
11.2.1 Combining like radicals
11.2.2 Simplifying to combine like radicals
11.2.3 Using the distributive property
11.2.4 Simplifying using f.o.i.l.
11.2.5 Rationalizing a denominator using conjugates
12.2 Simplifying Rational Expressions
A1.1.1.5.3
12.2.1 Simplifying a rational expression
12.2.2 Recognizing opposite factors
12.2.3 Evaluating a rational expression
12.3 Multiplying and Dividing Rational Expressions A1.1.1.5.3
12.3.1 Multiplying rational expressions
12.3.2 Using factoring
12.3.3 Multiplying a rational expression by a polynomial
12.3.4 Dividing rational expressions
12.3.5 Dividing a rational expression by a polynomial
12.4 Dividing Polynomails
A1.1.1.5.3
12.4.1 Dividing a polynomial by a monomial
12.4.2 Dividing a polynomial by a binomial
12.4.3 Dividing a polynomials with a zero coefficient
12.4.4 Reordering terms and dividing polynomials
12.4.5 Synthetic division (NOT IN ALGEBRA I TEXTBOOK)
13.1 Box-and-Whisker Plots
A1.2.3.1.1
13.1.1 Calculate range, quartiles, and interquartile range
13.1.2 Interpret range, quartlies, and interguartile range
13.2 Measures of Dispersion & Central Tendency
A1.2.3.2.1
13.2.1 Estimate and calculate to make predictions based on circle, line, bar graphs, measures of central
tendency, or other representations
13.3 Data Displays
A1.2.3.2.2
13.3.1 Analyze data, make predictions, and answer questions based on displayed data (box-and-whisker plots,
stem-and-leaf plots, scatter plots, measures of central tendency, or other representations)
13.4 Best-Fit Lines
A1.2.3.2.3
13.4.1 Make predictions using the equations or graphs of best-fit lines of scatter plots