A.N: Number Sense and Operations

A.N.1: Identify and apply the properties of real numbers (closure, commutative, associative, distributive, identity, inverse) Note: Students do not need to identify groups and fields, but students should be engaged in the ideas.

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Square Roots

A.N.2: Simplify radical terms (no variable in the radicand)

 Operations with Radical Expressions
 Simplifying Radical Expressions

A.N.3: Perform the four arithmetic operations using like and unlike radical terms and express the result in simplest form

 Operations with Radical Expressions

A.N.4: Understand and use scientific notation to compute products and quotients of numbers

 Unit Conversions

A.N.5: Solve algebraic problems arising from situations that involve fractions, decimals, percents (decrease/increase and discount), and proportionality/direct variation

 Beam to Moon (Ratios and Proportions)
 Comparing and Ordering Decimals
 Determining a Spring Constant
 Direct and Inverse Variation
 Estimating Population Size
 Geometric Probability
 Part-to-part and Part-to-whole Ratios
 Percent of Change
 Real-Time Histogram

A.N.6: Evaluate expressions involving factorial(s), absolute value(s), and exponential expression(s)

 Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions

A.N.7: Determine the number of possible events, using counting techniques or the Fundamental Principle of Counting

 Binomial Probabilities

A.N.8: Determine the number of possible arrangements (permutations) of a list of items

 Permutations and Combinations

A.A: Algebra

A.A.1: Translate a quantitative verbal phrase into an algebraic expression

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

A.A.2: Write a verbal expression that matches a given mathematical expression

 Using Algebraic Equations
 Using Algebraic Expressions

A.A.3: Distinguish the difference between an algebraic expression and an algebraic equation

 Compound Interest
 Solving Equations on the Number Line
 Using Algebraic Equations

A.A.4: Translate verbal sentences into mathematical equations or inequalities

 Linear Functions
 Solving Equations on the Number Line
 Using Algebraic Equations

A.A.5: Write algebraic equations or inequalities that represent a situation

 Linear Inequalities in Two Variables
 Solving Equations on the Number Line
 Using Algebraic Equations

A.A.6: Analyze and solve verbal problems whose solution requires solving a linear equation in one variable or linear inequality in one variable

 Compound Inequalities
 Linear Inequalities in Two Variables
 Solving Equations by Graphing Each Side
 Solving Two-Step Equations
 Systems of Linear Inequalities (Slope-intercept form)

A.A.7: Analyze and solve verbal problems whose solution requires solving systems of linear equations in two variables

 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Standard Form)

A.A.10: Solve systems of two linear equations in two variables algebraically (See A.G.7)

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

A.A.12: Multiply and divide monomial expressions with a common base, using the properties of exponents Note: Use integral exponents only

 Dividing Exponential Expressions
 Multiplying Exponential Expressions

A.A.13: Add, subtract, and multiply monomials and polynomials

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

A.A.14: Divide a polynomial by a monomial or binomial, where the quotient has no remainder

 Dividing Polynomials Using Synthetic Division

A.A.19: Identify and factor the difference of two perfect squares

 Factoring Special Products

A.A.20: Factor algebraic expressions completely, including trinomials with a lead coefficient of one (after factoring a GCF)

 Dividing Polynomials Using Synthetic Division
 Factoring Special Products
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c

A.A.21: Determine whether a given value is a solution to a given linear equation in one variable or linear inequality in one variable

 Modeling and Solving Two-Step Equations

A.A.22: Solve all types of linear equations in one variable

 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side
 Solving Two-Step Equations
 Standard Form of a Line

A.A.23: Solve literal equations for a given variable

 Area of Triangles
 Solving Formulas for any Variable

A.A.24: Solve linear inequalities in one variable

 Compound Inequalities
 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Solving Linear Inequalities in One Variable
 Systems of Linear Inequalities (Slope-intercept form)

A.A.28: Understand the difference and connection between roots of a quadratic equation and factors of a quadratic expression

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

A.A.31: Find the intersection of sets (no more than three sets) and/or union of sets (no more than three sets)

 Compound Inequalities

A.A.33: Determine the slope of a line, given the coordinates of two points on the line

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

A.A.34: Write the equation of a line, given its slope and the coordinates of a point on the line

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

A.A.35: Write the equation of a line, given the coordinates of two points on the line

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

A.A.36: Write the equation of a line parallel to the x- or y-axis

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

A.A.37: Determine the slope of a line, given its equation in any form

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

A.A.39: Determine whether a given point is on a line, given the equation of the line

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

A.A.40: Determine whether a given point is in the solution set of a system of linear inequalities

 Systems of Linear Inequalities (Slope-intercept form)

A.A.41: Determine the vertex and axis of symmetry of a parabola, given its equation (See A.G.10)

 Parabolas
 Zap It! Game

A.A.42: Find the sine, cosine, and tangent ratios of an angle of a right triangle, given the lengths of the sides

 Cosine Function
 Sine Function
 Sine, Cosine, and Tangent Ratios
 Tangent Function

A.A.43: Determine the measure of an angle of a right triangle, given the length of any two sides of the triangle

 Sine, Cosine, and Tangent Ratios

A.A.44: Find the measure of a side of a right triangle, given an acute angle and the length of another side

 Sine, Cosine, and Tangent Ratios

A.A.45: Determine the measure of a third side of a right triangle using the Pythagorean theorem, given the lengths of any two sides

 Cosine Function
 Pythagorean Theorem
 Pythagorean Theorem with a Geoboard
 Sine Function
 Tangent Function

A.G: Geometry

A.G.1: Find the area and/or perimeter of figures composed of polygons and circles or sectors of a circle Note: Figures may include triangles, rectangles, squares, parallelograms, rhombuses, trapezoids, circles, semi-circles, quarter-circles, and regular polygons (perimeter only).

 Area of Triangles

A.G.2: Use formulas to calculate volume and surface area of rectangular solids and cylinders

 Prisms and Cylinders
 Pyramids and Cones
 Surface and Lateral Areas of Prisms and Cylinders

A.G.3: Determine when a relation is a function, by examining ordered pairs and inspecting graphs of relations

 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations

A.G.4: Identify and graph linear, quadratic (parabolic), absolute value, and exponential functions

 Absolute Value with Linear Functions
 Addition and Subtraction of Functions
 Exponential Functions
 Linear Functions
 Logarithmic Functions
 Translating and Scaling Functions

A.G.5: Investigate and generalize how changing the coefficients of a function affects its graph

 Absolute Value with Linear Functions
 Introduction to Exponential Functions
 Rational Functions
 Translating and Scaling Functions
 Translating and Scaling Sine and Cosine Functions
 Translations
 Zap It! Game

A.G.6: Graph linear inequalities

 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Solving Linear Inequalities in One Variable
 Systems of Linear Inequalities (Slope-intercept form)

A.G.7: Graph and solve systems of linear equations and inequalities with rational coefficients in two variables (See A.A.10)

 Solving Linear Systems (Standard Form)

A.G.9: Solve systems of linear and quadratic equations graphically Note: Only use systems of linear and quadratic equations that lead to solutions whose coordinates are integers.

 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)

A.M: Measurement

A.M.1: Calculate rates using appropriate units (e.g., rate of a space ship versus the rate of a snail)

 Household Energy Usage

A.M.2: Solve problems involving conversions within measurement systems, given the relationship between the units

 Unit Conversions

A.S: Statistics and Probability

A.S.4: Compare and contrast the appropriateness of different measures of central tendency for a given data set

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Reaction Time 1 (Graphs and Statistics)

A.S.5: Construct a histogram, cumulative frequency histogram, and a box-and-whisker plot, given a set of data

 Box-and-Whisker Plots
 Histograms
 Real-Time Histogram
 Sight vs. Sound Reactions

A.S.6: Understand how the five statistical summary (minimum, maximum, and the three quartiles) is used to construct a box-and-whisker plot

 Box-and-Whisker Plots

A.S.7: Create a scatter plot of bivariate data

 Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

A.S.9: Analyze and interpret a frequency distribution table or histogram, a cumulative frequency distribution table or histogram, or a box-and-whisker plot

 Box-and-Whisker Plots
 Histograms
 Polling: City
 Populations and Samples
 Real-Time Histogram
 Sight vs. Sound Reactions

A.S.10: Evaluate published reports and graphs that are based on data by considering: experimental design, appropriateness of the data analysis, and the soundness of the conclusions

 Polling: City
 Polling: Neighborhood
 Populations and Samples

A.S.11: Find the percentile rank of an item in a data set and identify the point values for first, second, and third quartiles

 Box-and-Whisker Plots

A.S.12: Identify the relationship between the independent and dependent variables from a scatter plot (positive, negative, or none)

 Correlation

A.S.13: Understand the difference between correlation and causation

 Correlation

A.S.14: Identify variables that might have a correlation but not a causal relationship

 Correlation

A.S.17: Use a reasonable line of best fit to make a prediction involving interpolation or extrapolation

 Trends in Scatter Plots

A.S.18: Know the definition of conditional probability and use it to solve for probabilities in finite sample spaces

 Independent and Dependent Events

A.S.20: Calculate the probability of an event and its complement

 Binomial Probabilities
 Geometric Probability
 Independent and Dependent Events
 Theoretical and Experimental Probability

A.S.21: Determine empirical probabilities based on specific sample data

 Binomial Probabilities
 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Theoretical and Experimental Probability

A.S.22: Determine, based on calculated probability of a set of events, if:

A.S.22.a: some or all are equally likely to occur

 Probability Simulations
 Theoretical and Experimental Probability

A.S.23: Calculate the probability of:

A.S.23.a: a series of independent events

 Binomial Probabilities
 Independent and Dependent Events

A.S.23.b: a series of dependent events

 Independent and Dependent Events

A.S.23.d: two events that are not mutually exclusive

 Binomial Probabilities
 Geometric Probability
 Independent and Dependent Events
 Theoretical and Experimental Probability

Correlation last revised: 4/4/2018

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