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
MFANSQ2b: Represent numbers on a number line.
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.
MFANSQ4b: Find sums, differences, products, and quotients of all forms of rational numbers, stressing the conceptual understanding of these operations.
Equivalent Algebraic Expressions I
Fractions with Unlike Denominators
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
Using Algebraic Expressions
MFAAA1f: Evaluate formulas at specific values for variables.
Area of Triangles
Solving Formulas for any Variable
MFAAA2b: Use properties of integer exponents to find equivalent numerical expressions.
Dividing Exponential Expressions
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
Absolute Value Equations and Inequalities
Arithmetic Sequences
Compound Interest
Exploring Linear Inequalities in One Variable
Geometric Sequences
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Quadratic Inequalities
Solving Equations on the Number Line
Solving Linear Inequalities in One Variable
Solving Two-Step Equations
Using Algebraic Equations
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.
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations on the Number Line
Solving Formulas for any Variable
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
Solving Formulas for any Variable
Solving Two-Step Equations
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
Quadratics in Vertex Form
Radical Functions
Solving Equations by Graphing Each Side
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
MFAEI3b: Find approximate solutions using technology to graph, construct tables of values, and find successive approximations.
Cat and Mouse (Modeling with Linear Systems)
Point-Slope Form of a Line
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Standard Form of a Line
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
Quadratics in Vertex Form
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
Quadratics in Vertex Form
Rational Functions
Slope-Intercept Form of a Line
MFAQR3a: Write a function that describes a relationship between two quantities.
MFAQR3c: Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of context.
Absolute Value with Linear Functions
Translating and Scaling Functions
Correlation last revised: 9/16/2020