Algebra 1 Performance Indicator Rubric Competency 1 Properties of Arithmetic and Algebra: Students will understand that numbers, operations, and arithmetic are the building blocks of algebra which is the language through which much of math, science and technology is communicated. Indicator Simplifying Numeric and Algebraic Expressions
Advanced (in addition to B) I can create an expression that will simplify to a given solution. That satisfies the given properties or criteria. I can simplify more complex numeric and algebraic expressions and can justify or critique the steps in simplifying an expression.
Beyond Competent (In addition to C) I can simplify more complex numeric and algebraic expressions and can explain/justify using appropriate vocabulary.
Competent
Not Yet Competent
I can simplify numeric and algebraic expressions using appropriate properties and operations.
I can sometimes simplify numeric and algebraic expressions. I can identify the properties but have trouble applying appropriate properties and operations to simplify an expression.
I am still formulating an understanding of rates, ratios, or proportions.
Ratios, Unit Rate, & Proportions
I can use my knowledge of proportional reasoning to make or defend conjectures.
I can apply my knowledge of proportional reasoning to compare quantities and solve real world problems.
I can use rates and ratios to show relationships between numbers and their units. I can solve a proportion for an unknown.
Notation &Representation
I communicate, solve, represent situations using the appropriate notation.
Magnitude of The Real Number System
I can demonstrate my knowledge of the real number system. I can explain the difference between a rational and irrational number and represent them in a variety of ways.
I can apply a variety of notations and representations when using functions, sequences, and scientific notation I can apply my knowledge of the real number system to compare quantities and defend conjectures.
I can identify/interpret a variety of notations and representations when using functions, sequences, and scientific notation. I can locate, order, and compare real numbers presented in a variety of ways on the number line.
I can locate and order some real numbers presented in limited ways.
Algebra 1 Performance Indicator Rubric Competency 2 Data Analysis and Representation: Students will understand that data can be displayed, described and analyzed in a variety of ways in order to make predictions and solve problems.
Indicator Representation and Analysis of Data
Counting & Probability
Advanced (In addition to B) Explain or defend why a measure is most appropriate for a given situation.
Beyond Competent (In addition to C) I can, given a scenario, choose and apply appropriate methods and techniques to display, interpret, and analyze the data.
Given a real world scenario, I can demonstrate my knowledge of concepts to solve non routine problems.
I can apply my knowledge of counting techniques to solve probability problems.
Experiment,
I can calculate the probability of independent events with or without replacement.
What if you change constraints Compare two situations
I can calculate the probability of an event using complement,
Competent I can use appropriate methods and techniques to display and interpret a collection of data and calculate requested measures of central tendency and spread. I can identify and use appropriate counting techniques (Fundamental counting principle, permutations, and combinations).
Not Yet Competent I can use some appropriate methods and techniques to display and interpret a collection of data, and find some measures of central tendency.
I have difficulty applying counting techniques or calculating simple probability.
Algebra 1 Performance Indicator Rubric Competency 3 Modeling and Applying Linear Relationships: Students will understand that linear models can be used to describe real world phenomena that exhibit a constant rate of change. Indicator
Advanced (In addition to B)
Beyond Competent (In addition to C)
Competent
Solving Linear Equations/Inequalities
I can, given a solution, create a complex equation/ inequality using algebraic properties. OR I can critique a given algebraic proof. I can apply my knowledge to solve nonroutine problems.
With appropriate mathematical vocabulary, I can explain how I solved the given equation/inequality.
I can routinely solve linear equations and inequalities using algebraic properties.
I can apply my knowledge to compare the rate of change given two relationships (including parallel and perpendicular relationships).
I can use various methods and models to determine the rate of change/slope within a linear relationship (points, table, equations, and graphs).
Rates of Change
Modeling Linear Relationships
Given a scenario, I can create a story graph and given a story graph I can interpret the rate of change. I can create a scenario that meets certain conditions (Experiment/Lab that produces linear data). Given Ax + By = C, I can prove algebraically with justification, that slope = , intercepts are
I can generate and apply a linear relationship that describes a given realworld scenario. I can describe and interpret the meaning of each part of the equation (variables, coefficients and intercepts) I can compare and contrast the three general forms of a linear relationship and justify the most appropriate form for a given situation.
Systems of Linear Relationships (Equations/Inequalities)
I can create a linear system that meets certain conditions for the solution set or I can create word problem, model with a linear system, and solve.
I can generate and apply a linear system that describes a given real-world scenario. I can describe and interpret the meaning of each part of the system (variables, coefficients, intercepts, domain and range) I can choose and justify the appropriate algebraic method to solve a system.
I can recognize a linear relationship presented in a variety of notations (table, graph, points). I can identify the domain, range, slope, and intercepts of a linear relationship. Given a table, graph, or two points I can generate the equation for the linear relationship. I can represent a linear relationship graphically, symbolically, and numerically. I can determine/classify the solution set of linear system has a given a symbolic or graphical representation. I can represent a given solution set (a point or graphed region) as a linear system.
Algebra 1 Performance Indicator Rubric
Competency 4 Modeling and Applying Non-Linear Relationships: Students will understand that non-linear models can be used to describe real world phenomena that do not exhibit a constant rate of change.
Indicator
Advanced (In addition to B)
Beyond Competent (In addition to C)
Competent
Solving Non-Linear Equations/Inequalities
I can, given a solution, create a complex equation/ inequality using algebraic properties including completing the square. OR I can present a proof of the quadratic formula OR I can create a possible non-linear function to represent a given set of zeros.
With appropriate mathematical vocabulary, I can explain how I solved a given non-linear equation/inequality.
I can routinely solve one variable nonlinear equations and inequalities using one of the following methods algebraic properties, factoring, graphing, and quadratic formula.
I can solve non-linear equations and inequalities using a variety of methods for real number solutions.
I can determine the best non-linear model for a given set of data to answer questions and make predictions.
I can generate and apply a nonlinear relationship that describes a given real-world scenario to find a simple solution.
Modeling Non-Linear Relationships
I can compare and contrast the three general forms of a quadratic relationship and justify the most appropriate form for a given situation.
I can determine the nature and number of solutions (zeros) for a given non-linear equations. I can recognize and classify a non-linear relationship presented in a variety of notations (table, graph, points). I can identify the key characteristics of a non-linear relationship. Given parameters, I can generate the equation for the non-linear relationship. I can represent a non- linear relationship graphically, symbolically, and numerically.
Systems of Non-Linear Relationships (Equations/Inequalities)
I can solve a non-linear system algebraically with justification.
I can determine the solution set of a non-linear system.
I can describe the solution set of a non-linear system.
