GA--Standards of Excellence

MFANSQ1a: Solve multi-step real world problems, analyzing the relationships between all four operations.

Determining a Spring Constant

Estimating Population Size

MFANSQ1d: Compare fractions and decimals to the thousandths place.

Comparing and Ordering Decimals

Rational Numbers, Opposites, and Absolute Values

MFANSQ4a: Find sums, differences, products, and quotients of multi-digit decimals using strategies based on place value, the properties of operations, and/or relationships between operations.

MFANSQ4d: Illustrate and explain calculations using models and line diagrams

Fractions with Unlike Denominators

MFANSQ4e: Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using estimation strategies and graphing technology.

Estimating Population Size

Fractions with Unlike Denominators

MFAAA1a: Apply properties of operations emphasizing when the commutative property applies.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Algebraic Equations II

Using Algebraic Equations

MFAAA1b: Use area models to represent the distributive property and develop understandings of addition and multiplication (all positive rational numbers should be included in the models).

MFAAA1d: Add, subtract, and multiply algebraic expressions.

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Using Algebraic Equations

MFAAA1e: Generate equivalent expressions using properties of operations and understand various representations within context.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Algebraic Equations II

Using Algebraic Equations

MFAAA1f: Evaluate formulas at specific values for variables.

Area of Triangles

Solving Formulas for any Variable

MFAAA2c: Evaluate square roots of perfect squares and cube roots of perfect cubes

Operations with Radical Expressions

Simplifying Radical Expressions

Square Roots

MFAAA2e: Use the Pythagorean Theorem to solve triangles based on real-world contexts

Circles

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Part-to-part and Part-to-whole Ratios

MFAPR2a: Relate proportionality to fraction equivalence and division.

Direct and Inverse Variation

Part-to-part and Part-to-whole Ratios

MFAPR2b: Understand real-world rate/ratio/percent problems by finding the whole given a part and find a part given the whole.

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Part-to-part and Part-to-whole Ratios

Percent of Change

Real-Time Histogram

MFAPR2c: Use proportional relationships to solve multistep ratio and percent problems.

Beam to Moon (Ratios and Proportions)

Part-to-part and Part-to-whole Ratios

Percent of Change

MFAEI1a: Use variables to represent an unknown number in a specified set.

Solving Algebraic Equations I

Using Algebraic Expressions

MFAEI1b: Explain each step in solving simple equations and inequalities using the equality properties of numbers.

Solving Algebraic Equations II

Solving Two-Step Equations

MFAEI1c: Construct viable arguments to justify the solutions and methods of solving equations and inequalities.

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Solving Algebraic Equations II

Solving Equations on the Number Line

MFAEI1d: Represent and find solutions graphically.

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

Circles

Parabolas

Point-Slope Form of a Line

Points, Lines, and Equations

Quadratics in Polynomial Form

Radical Functions

Solving Equations on the Number Line

Standard Form of a Line

MFAEI2c: Graph points in all four quadrants of the coordinate plane.

Linear Functions

Points in the Coordinate Plane

Points, Lines, and Equations

Slope

MFAEI3a: Create an algebraic model from a context using two-variable equations.

Circles

Point-Slope Form of a Line

Standard Form of a Line

Using Algebraic Expressions

MFAEI3c: Represent solutions to systems of equations graphically or by using a table of values.

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)

MFAEI3d: Analyze the reasonableness of the solutions of systems of equations within a given context.

Solving Linear Systems (Standard Form)

MFAEI4a: Solve for any variable in a multi-variable equation.

Area of Triangles

Solving Formulas for any Variable

MFAEI4b: Rearrange formulas to highlight a particular variable using the same reasoning as in solving equations.

Area of Triangles

Solving Formulas for any Variable

MFAQR1a: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range.

Introduction to Functions

Linear Functions

Logarithmic Functions

Points, Lines, and Equations

Radical Functions

MFAQR1b: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

General Form of a Rational Function

Introduction to Functions

Radical Functions

Rational Functions

MFAQR1c: Graph functions using sets of ordered pairs consisting of an input and the corresponding output.

Introduction to Exponential Functions

Linear Functions

Points, Lines, and Equations

MFAQR2a: Calculate rates of change of functions, comparing when rates increase, decrease, or stay constant.

Cat and Mouse (Modeling with Linear Systems)

Points, Lines, and Equations

Slope

Translating and Scaling Functions

Zap It! Game

MFAQR2b: Graph by hand simple functions expressed symbolically (use all four quadrants).

MFAQR2c: Interpret the equation y = mx + b as defining a linear function whose graph is a straight line.

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

MFAQR2d: Use technology to graph non-linear functions.

Absolute Value with Linear Functions

MFAQR2e: Analyze graphs of functions for key features (intercepts, intervals of increase/decrease, maximums/minimums, symmetries, and end behavior) based on context.

Absolute Value with Linear Functions

Cat and Mouse (Modeling with Linear Systems)

Exponential Functions

General Form of a Rational Function

Graphs of Polynomial Functions

Introduction to Exponential Functions

Logarithmic Functions

Quadratics in Factored Form

Quadratics in Polynomial Form

Rational Functions

Slope-Intercept Form of a Line

MFAQR3a: Write a function that describes a relationship between two quantities.

Correlation last revised: 3/1/2018

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