# Macomb ISD Mathematics Power Standards

## Power Standards Overview

Algebra 1 Power Standards

Representation:   Given a graphic, tabular, or symbolic representation, students will be able to produce the other two representations, describe the behavior, identify and interpret key features, evaluate, and find solutions.

Graph:  Given a verbal, tabular, or symbolic representation, students will be able to create a graphical representation.  Further, students will be able to identify and interpret the key features of an equation, inequality, or system from its graph (i.e zeros, intercepts, trends, behavior); solve/evaluate functions using the graphical representation.

Table:  Given a verbal, graphical, or symbolic representation, students will be able to generate a tabular representation.  Further, students will be able to read and interpret the key features (i.e. zeros, intercepts, trends, behavior) of a function from its table.

Symbolic: Given a verbal, tabular, or graphical representation of a function(s), students will be able to write an expression, equation, inequality, or system.  Further, students will be able to identify and interpret the key features of a function from its equation (i.e zeros, intercepts, trends, behavior); solve/evaluate functions using the symbolic representation.

Manipulation: Through the manipulation of real numbers and/or algebraic expressions, students will distinguish between and perform the processes of evaluating, simplifying, solving, and justifying.

Transformation:  Given a parent function, students will be able to identify and model applicable changes numerically, symbolically and graphically.

Analysis & Prediction: In a given real-world situation, students will be able to analyze data to draw reasonable conclusions and predict outcomes (i.e. end term behavior, domain/range, maximum/minimum, correlation/regression).

Algebra 2 Power Standards

Representation: Given a verbal, graphic, tabular, or symbolic representation, students will be able to produce the other two representations, describe the behavior, and identify key features.

Graph:  Given a verbal, tabular, or symbolic representation students will be able to create a graphical representation.  Further, students will be able to identify and interpret the key features using the graphical representation.

Table:  Given a verbal, graphical, or symbolic representation, students will be able to generate a tabular representation.  Further, students will be able to read and interpret the key features from the table.

Symbolic: Given a table, graph, or verbal description, students will be able to write an expression, equation or system to represent the relationship or behavior. Further, students will be able to identify and interpret the key features from symbolic.

Manipulation: Through the manipulation of complex numbers (real and imaginary) and/or algebraic expressions, students will distinguish between and perform the processes of evaluating, simplifying, solving and justifying.

Properties & Relationships: Students will identify and apply properties of, relationships between, and transformations of various relations and data distributions.

Analysis & Prediction: In a given real world situation, students will be able to analyze data to draw reasonable conclusions and predict outcomes.

Geometry Power Standards

Algebraic Thinking:  Students will use algebraic reasoning to justify geometric relationships and make connections to geometric concepts that require evaluating, simplifying, and solving.

Properties and Relationships:  Students will know and use properties of open or closed figures and relationships between them to draw conclusions.

Measurement:  Students will be able to find various measurements of one, two, or three dimensional figures using appropriate methods.

Constructions & Coordinate Geometry:  Students will be able to construct and graph geometric figures and use those visual representations to solve problems.

Prove and Justify:  Students will justify their thinking through use of formal and informal reasoning strategies (i.e. inductive, deductive, contradiction, negation, and counterexamples).

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