Gizmos for Georgia - Mathematics: Foundations of Algebra (GA--Standards of Excellence adopted 2015)

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

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.

MFANSQ1d: : Compare fractions and decimals to the thousandths place.

MFANSQ2: : Students will conceptualize positive and negative numbers (including decimals and fractions).

MFANSQ2b: : Represent numbers on a number line.

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.

MFANSQ4b: : Find sums, differences, products, and quotients of all forms of rational numbers, stressing the conceptual understanding of these operations.

MFANSQ4d: : Illustrate and explain calculations using models and line diagrams

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.

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.

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.

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

MFAAA1f: : Evaluate formulas at specific values for variables.

MFAAA2: : Students will interpret and use the properties of exponents

MFAAA2b: : Use properties of integer exponents to find equivalent numerical expressions.

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

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

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

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

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

MFAPR2a: : Relate proportionality to fraction equivalence and division.

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

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

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.

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

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

MFAEI1d: : Represent and find solutions graphically.

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.

MFAEI3: : Students will create algebraic models in two variables.

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

MFAEI3b: : Find approximate solutions using technology to graph, construct tables of values, and find successive approximations.

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

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

MFAEI4: : Students will solve literal equations.

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

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

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.

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

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

MFAQR2: : Students will compare and graph functions.

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

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.

MFAQR2d: : Use technology to graph non-linear functions.

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

MFAQR3: : Students will construct and interpret functions.

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.

Correlation last revised: 9/16/2020

Georgia - Mathematics: Foundations of Algebra

GA--Standards of Excellence | Adopted: 2015

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

MFAAA: : Students will extend arithmetic operations to algebraic modeling.

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

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

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