MFANSQ: Students will compare different representations of numbers (i.e. fractions, decimals, radicals, etc.) and perform basic operations using these different representations.

MFANSQ1: Students will analyze number relationships.

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

MFANSQ4: Students will apply and extend previous understanding of addition, subtraction, multiplication, and division.

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.

 Square Roots

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

MFAAA: Students will extend arithmetic operations to algebraic modeling.

MFAAA1: Students will generate and interpret equivalent numeric and algebraic expressions.

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).

 Square Roots

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

MFAAA2: Students will interpret and use the properties of exponents

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

MFAPR: Students will use ratios to solve real-world and mathematical problems

MFAPR1: Students will explain equivalent ratios by using a variety of models.

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

MFAPR2: Students will recognize and represent proportional relationships between quantities.

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

MFAEI: Students will solve, interpret, and create linear models using equations and inequalities.

MFAEI1: Students will create and solve equations and inequalities in one variable.

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

MFAEI2: Students will use units as a way to understand problems and guide the solutions of multi-step problems.

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

 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Linear Functions
 Points in the Coordinate Plane
 Points, Lines, and Equations
 Slope

MFAEI3: Students will create algebraic models in two variables.

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)

MFAEI4: Students will solve literal equations.

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

MFAQR: Students will create function statements and analyze relationships among pairs of variables using graphs, table, and equations.

MFAQR1: Students will understand characteristics of functions.

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.

 Absolute Value with Linear Functions
 Exponential Functions
 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Exponential Functions
 Introduction to Functions
 Linear Functions
 Logarithmic Functions
 Parabolas
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Radical Functions
 Standard Form of a Line

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.

 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Exponential Functions
 Linear Functions
 Points, Lines, and Equations

MFAQR2: Students will compare and graph functions.

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

 Cat and Mouse (Modeling with Linear Systems)
 Function Machines 1 (Functions and Tables)
 Points, Lines, and Equations
 Slope
 Translating and Scaling Functions
 Zap It! Game

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

 Radical Functions

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

MFAQR3: Students will construct and interpret functions.

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

 Function Machines 1 (Functions and Tables)
 Points, Lines, and Equations

Correlation last revised: 1/19/2017

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