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

 Function Machines 3 (Functions and Problem Solving)
 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)
 Function Machines 2 (Functions, Tables, and Graphs)
 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)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 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
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 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
 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 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

Correlation last revised: 1/20/2017

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.