LA.1.AI: Students will develop the language of algebra including specialized vocabulary, symbols, and operations.

LA.1.AI.1: Evaluate algebraic expressions, including radicals, by applying the order of operations

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II

LA.1.AI.2: Translate word phrases and sentences into expressions, equations, and inequalities, and vice versa

Linear Functions
Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

LA.1.AI.3: Apply the laws of (integral) exponents and roots.

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

LA.1.AI.4: Solve problems involving scientific notation, including multiplication and division.

Unit Conversions
Unit Conversions 2 - Scientific Notation and Significant Digits

LA.1.AI.5: Perform polynomial operations (addition, subtraction, multiplication) with and without manipulatives

Addition and Subtraction of Functions
Addition of Polynomials
Modeling the Factorization of x²+bx+c

LA.1.AI.8: Simplify radical expressions such as 3/(square root of 7)

Operations with Radical Expressions
Simplifying Radical Expressions

LA.1.AI.9: Add, subtract, and multiply simple radical expressions like 3(square root of 20) + 7(square root of 5) and 4(square root of 5) * 2(square root of 3)

Operations with Radical Expressions
Simplifying Radical Expressions

SEI.2.AI: Students will write, with and without appropriate technology, equivalent forms of equations, inequalities and systems of equations and solve with fluency.

SEI.2.AI.1: Solve multi-step equations and inequalities with rational coefficients

SEI.2.AI.1.b: algebraically (including the use of manipulatives)

Solving Algebraic Equations II

SEI.2.AI.2: Solve systems of two linear equations

SEI.2.AI.2.a: numerically (from a table or guess and check)

Cat and Mouse (Modeling with Linear Systems)

SEI.2.AI.2.b: algebraically (including the use of manipulatives)

Solving Equations by Graphing Each Side
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

SEI.2.AI.2.c: graphically

Cat and Mouse (Modeling with Linear Systems)
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

SEI.2.AI.2.d: technologically

Cat and Mouse (Modeling with Linear Systems)
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)

SEI.2.AI.3: Solve linear formulas and literal equations for a specified variable

Area of Triangles
Solving Formulas for any Variable

SEI.2.AI.4: Solve and graph simple absolute value equations and inequalities

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Compound Inequalities

SEI.2.AI.5: Solve real world problems that involve a combination of rates, proportions and percents

Beam to Moon (Ratios and Proportions)
Part-to-part and Part-to-whole Ratios
Percent of Change

SEI.2.AI.7: Use coordinate geometry to represent and/or solve problems (midpoint, length of a line segment, and Pythagorean Theorem)

Circles
Cosine Function
Distance Formula
Sine Function
Tangent Function

SEI.2.AI.8: Communicate real world problems graphically, algebraically, numerically and verbally

Using Algebraic Expressions

LF.3.AI: Students will analyze functions by investigating rates of change, intercepts, and zeros.

LF.3.AI.1: Distinguish between functions and non-functions/relations by inspecting graphs, ordered pairs, mapping diagrams and/or tables of data

Introduction to Functions
Linear Functions
Points, Lines, and Equations

LF.3.AI.2: Determine domain and range of a relation from an algebraic expression, graphs, set of ordered pairs, or table of data

Introduction to Functions
Logarithmic Functions
Radical Functions

LF.3.AI.5: Interpret the rate of change/slope and intercepts within the context of everyday life

Cat and Mouse (Modeling with Linear Systems)
Slope-Intercept Form of a Line

LF.3.AI.6: Calculate the slope given

LF.3.AI.6.a: two points

Cat and Mouse (Modeling with Linear Systems)
Point-Slope Form of a Line
Slope
Slope-Intercept Form of a Line

LF.3.AI.6.b: the graph of a line

Cat and Mouse (Modeling with Linear Systems)
Point-Slope Form of a Line
Slope
Slope-Intercept Form of a Line
Standard Form of a Line

LF.3.AI.6.c: the equation of a line

Point-Slope Form of a Line
Slope
Slope-Intercept Form of a Line
Standard Form of a Line

LF.3.AI.7: Determine by using slope whether a pair of lines are parallel, perpendicular, or neither

Cat and Mouse (Modeling with Linear Systems)

LF.3.AI.8: Write an equation in slope-intercept, point-slope, and standard forms given

LF.3.AI.8.a: two points

Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

LF.3.AI.8.b: a point and y-intercept

Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

LF.3.AI.8.c: x-intercept and y-intercept

Linear Inequalities in Two Variables
Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

LF.3.AI.8.d: a point and slope

Linear Inequalities in Two Variables
Point-Slope Form of a Line
Slope-Intercept Form of a Line
Standard Form of a Line

LF.3.AI.8.e: a table of data

Points, Lines, and Equations
Slope-Intercept Form of a Line

LF.3.AI.8.f: the graph of a line

Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

LF.3.AI.9: Describe the effects of parameter changes, slope and/or y-intercept, on graphs of linear functions and vice versa

Absolute Value with Linear Functions
Cat and Mouse (Modeling with Linear Systems)
Compound Interest
Exponential Functions
Linear Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Standard Form of a Line

NLF.4.AI: Students will compare the properties in the family of functions.

NLF.4.AI.1: Factoring polynomials

NLF.4.AI.1.a: greatest common factor

Factoring Special Products

NLF.4.AI.1.b: binomials (difference of squares)

Factoring Special Products

NLF.4.AI.1.c: trinomials

Factoring Special Products
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c

NLF.4.AI.2: Determine minimum, maximum, vertex, and zeros, given the graph

Ellipses
Graphs of Polynomial Functions
Hyperbolas
Parabolas
Polynomials and Linear Factors

NLF.4.AI.3: Solve quadratic equations using the appropriate methods with and without technology

NLF.4.AI.3.a: factoring

Modeling the Factorization of x²+bx+c
Quadratics in Factored Form

NLF.4.AI.3.b: quadratic formula with real number solutions

Quadratics in Factored Form
Roots of a Quadratic

NLF.4.AI.4: Recognize function families and their connections including vertical shift and reflection over the x-axis

NLF.4.AI.4.a: quadratics (with rational coefficients)

Addition and Subtraction of Functions
Translating and Scaling Functions

NLF.4.AI.4.b: absolute value

Absolute Value with Linear Functions
Translating and Scaling Functions

NLF.4.AI.4.c: exponential functions

Exponential Functions
Logarithmic Functions

NLF.4.AI.5: Communicate real world problems graphically, algebraically, numerically and verbally

Using Algebraic Expressions

DIP.5.AI: Students will compare various methods of reporting data to make inferences or predictions.

DIP.5.AI.3: Construct simple matrices for real life situations

Dilations

DIP.5.AI.5: Use two or more graphs (i.e., box-and- whisker, histograms, scatter plots) to compare data sets

Histograms
Real-Time Histogram
Trends in Scatter Plots

DIP.5.AI.6: Construct and interpret a cumulative frequency histogram in real life situations

Histograms
Polling: City
Real-Time Histogram

DIP.5.AI.7: Recognize linear functions and non-linear functions by using a table or a graph

Absolute Value with Linear Functions
Compound Interest
Points, Lines, and Equations
Slope-Intercept Form of a Line

DIP.5.AI.8: Compute simple probability with and without replacement

Binomial Probabilities
Independent and Dependent Events

DIP.5.AI.9: Recognize patterns using explicitly defined and recursively defined linear functions

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

DIP.5.AI.10: Communicate real world problems graphically, algebraically, numerically and verbally

Absolute Value with Linear Functions
Point-Slope Form of a Line
Quadratics in Polynomial Form
Solving Equations on the Number Line
Standard Form of a Line
Using Algebraic Expressions

DIP.5.AI.11: Explain how sampling methods, bias, and phrasing of questions in data collection impact the conclusions

Correlation
Describing Data Using Statistics
Polling: City
Real-Time Histogram

DIP.5.AI.12: Recognize when arguments based on data confuse correlation with causation

Correlation