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Algebra I “I Can” Statements Objectives A1.2.1 Students can I can formulate algebraic expressions for use in equations. I can formulate algebraic expressions for use in inequalities. I can model real-world problems using algebraic expressions, equations and inequalities. A1.2.2 I can create multi-step linear equations. I can create absolute value equations. I can create linear inequalities in one variable. I can solve multi-step linear equations with and without technology. I can solve absolute value equations with and without technology. I can solve linear inequalities in one variable with and without technology. I can apply skills toward solving practical problems such as distance, mixtures or motion. I can judge the reasonableness of solutions. A1.2.3 I can evaluate data provided in a real-world situation. I can select an appropriate literal equation for use in a real-world situation. I can solve for a needed variable in a literal equation. A1.2.4 I can develop hypotheses regarding the laws of exponents. I can test hypotheses to derive the laws of exponents. I can apply the laws of exponents to perform operations on expressions with integral exponents. A1.2.5 I can analyze a given set of data. I can prove the existence of a pattern numerically. I can prove the existence of a pattern algebraically. I can prove the existence of a pattern graphically. I can determine equations from patterns. I can infer and predict outcomes based upon the observation a pattern. A.1.2.6 I can determine the slope of a line, given two points. I can determine the slope of a line, given a linear equation in various forms. I can determine the slope of a line, given the graph of a line. Algebra I “I Can” Statements A1.2.7 I can analyze situations and solve problems by determining the equation of a line, given the graph of a line. I can analyze situations and solve problems by determining the equation of a line, given two points on a line. I can analyze situations and solve problems by determining the equation of a line, given the slope and a point. I can analyze situations and solve problems by determining the equation of a line, given the slope and y-intercept. A1.2.8 I can identify a real-world situation that involves a constant rate of change. I can formulate a question and develop a hypothesis for a real-world situation that involves a constant rate of change. I can develop a method to collect, organize, and analyze related data. I can justify a method to collect, organize, and analyze related data. I can implement a method to collect, organize, and analyze related data. I can extend the nature of the collected, discrete data to that of a continuous linear function that describes the data set. I can generalize the results of the project to draw a conclusion. I can compare the hypothesis and the conclusion of the project. I can explain and summarize the conclusions using predictive and analytic tools of algebra. I can present the project numerically, analytically, graphically and verbally with and without technology. A1.2.9 I can create systems of linear equations based upon real-world situations. I can solve systems of linear equations graphically. I can solve systems of linear equations numerically using the elimination method. I can solve systems of linear equations numerically using the substitution method. M.O.A1.2.10 I can simplify algebraic expressions. I can evaluate algebraic expressions. I can add polynomials. I can subtract polynomials. I can multiply binomials by monomials. I can multiply binomials by binomials. I can divide binomials by monomials. I can divide binomials by binomials. A1.2.11 I can create polynomials to represent real-world situations while focusing on symbolic patterns. I can create polynomials to represent real-world situations while focusing on graphical patterns. I can create polynomials to solve problems based upon real-world situations. Algebra I “I Can” Statements A1.2.12 I can develop methods of factoring using area models and graphical representations. I can explain methods of factoring using area models and graphical representations. A1.2.13 I can simplify radical expressions using addition. I can simplify radical expressions using subtraction. I can simplify radical expressions using multiplication. I can simplify radical expressions using division. I can simplify radical expressions in exact form. I can simplify radical expressions in approximate form. A1.2.14 I can solve quadratic equations through graphing with and without technology. I can solve quadratic equations through factoring. I can solve quadratic equations using the quadratic formula. I can choose the most efficient method to solve quadratic equations. I can draw reasonable conclusions about a situation being modeled. A1.2.15 I can describe real-world situations involving exponential growth equations. I can describe real-world situations involving exponential decay equations. I can compare an exponential growth equation with attributes of an associated table or graph. I can compare an exponential decay equation with attributes of an associated table or graph. I can compare exponential equations such as y 2 and y (1 / 2) for integral values of x. I can demonstrate an understanding of the interrelationships between related tables, graphs and equations. x x A1.2.16 I can simplify rational expressions using addition. I can simplify rational expressions using subtraction. I can simplify rational expressions using multiplication. I can simplify rational expressions using division. I can evaluate rational expressions. I can determine when a rational expression is undefined. A1.2.17 I can perform a linear regression with and without technology. I can compare methods of fitting lines to data. I can evaluate methods of fitting lines to data. I can identify the equation for the line of regression. I can examine the correlation coefficient to determine how well the line fits the data. I can predict specific values of a variable, given the linear regression equation. A1.2.18 I can compute and interpret the expected value of random variables in simple probability problems using simulations. I can compute and interpret the expected value of random variables in simple probability problems using rules of probability. I can compute and interpret the expected value of random variables in simple probability problems with and without technology. Algebra I “I Can” Statements A1.2.19 I can gather data to create histograms. I can gather data to create box plots. I can gather data to create scatter plots. I can gather data to create normal distribution curves. I can use histograms to draw and support conclusions about data. I can use box plots to draw and support conclusions about data. I can use scatter plots to draw and support conclusions about data. I can use normal distribution curves to draw and support conclusions about data. A1.2.20 I can design experiments to model problems using the concepts of sample space. I can design experiments to model problems using the concepts of probability distribution. I can solve problems using the concepts of sample space. I can solve problems using the concepts of probability distribution. A1.2.21 I can use words to solve practical problems. I can use graphs to solve practical problems. I can use tables of values to solve practical problems. I can use equations to solve practical problems. I can describe the advantages and disadvantages of the use of each representation.
