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In 2017, the TI-nspire could be used to answer 38 out 54 of questions on STAAR End of Course Algebra 1 Exam. This instruction manual and workbook is designed to help teachers and students increase scores and graduation rates for taking the Algebra End of Course Exam.

Topics Covered on the Nspire:

(A.2) Linear functions, equations, and inequalities. The student applies the mathematical process standards when using properties of linear functions to write and represent in multiple ways, with and without technology, linear equations, inequalities, and systems of equations.

(A) determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations, both continuous and discrete; and represent domain and range using inequalities.

(B) write linear equations in two variables in various forms, including y = mx + b, Ax + By = C, and y - y1 = m(x - x1), given one point and the slope and given two points.

(C) write linear equations in two variables given a table of values, a graph, and a verbal description.

(D) write and solve equations involving direct variation.

(I) write systems of two linear equations given a table of values, a graph, and a verbal description.

(A.3) The student understands how algebra can be used to express generalizations and recognizes and uses the power of symbols to represent situations.

(A) graph the solution set of linear inequalities in two variables on the coordinate plane.

(C) graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems.

(D) graph the solution set of linear inequalities in two variables on the coordinate plane.

(E) graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist.

(A.4) Linear functions, equations, and inequalities. The student applies the mathematical process standards to formulate statistical relationships and evaluate their reasonableness based on real-world data.

(A) calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association.

(A.5) Linear functions, equations, and inequalities. The student applies the mathematical process standards to solve, with and without technology, linear equations and evaluate the reasonableness of their solutions.

(A) solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides.

(C) solve systems of two linear equations with two variables for mathematical and real-world problems.

(A.6) Quadratic functions and equations. The student applies the mathematical process standards when using properties of quadratic functions to write and represent in multiple ways, with and without technology, quadratic equations.

(C) write quadratic functions when given real solutions and graphs of their related equations.

(A.7) The student formulates equations and inequalities based on linear functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation.

(C) determine the effects on the graph of the parent function f(x) = x2 when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d.

(A.8) Quadratic functions and equations. The student applies the mathematical process standards to solve, with and without technology, quadratic equations and evaluate the reasonableness of their solutions. The student formulates statistical relationships and evaluates their reasonableness based on real-world data.

(A) solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula.

(B) write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.

(A.10) Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite in equivalent forms and perform operations on polynomial expressions.

(A) add and subtract polynomials of degree one and degree two.

(E) factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two.

(A.11) Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite algebraic expressions into equivalent forms.

(A) simplify numerical radical expressions involving square roots.

(B) simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.

(A.12) Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to write, solve, analyze, and evaluate equations, relations, and functions.

(B) evaluate functions, expressed in function notation, given one or more elements in their domains.

Topics Covered on the Nspire:

(A.2) Linear functions, equations, and inequalities. The student applies the mathematical process standards when using properties of linear functions to write and represent in multiple ways, with and without technology, linear equations, inequalities, and systems of equations.

(A) determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations, both continuous and discrete; and represent domain and range using inequalities.

(B) write linear equations in two variables in various forms, including y = mx + b, Ax + By = C, and y - y1 = m(x - x1), given one point and the slope and given two points.

(C) write linear equations in two variables given a table of values, a graph, and a verbal description.

(D) write and solve equations involving direct variation.

(I) write systems of two linear equations given a table of values, a graph, and a verbal description.

(A.3) The student understands how algebra can be used to express generalizations and recognizes and uses the power of symbols to represent situations.

(A) graph the solution set of linear inequalities in two variables on the coordinate plane.

(C) graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems.

(D) graph the solution set of linear inequalities in two variables on the coordinate plane.

(E) graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist.

(A.4) Linear functions, equations, and inequalities. The student applies the mathematical process standards to formulate statistical relationships and evaluate their reasonableness based on real-world data.

(A) calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association.

(A.5) Linear functions, equations, and inequalities. The student applies the mathematical process standards to solve, with and without technology, linear equations and evaluate the reasonableness of their solutions.

(A) solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides.

(C) solve systems of two linear equations with two variables for mathematical and real-world problems.

(A.6) Quadratic functions and equations. The student applies the mathematical process standards when using properties of quadratic functions to write and represent in multiple ways, with and without technology, quadratic equations.

(C) write quadratic functions when given real solutions and graphs of their related equations.

(A.7) The student formulates equations and inequalities based on linear functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation.

(C) determine the effects on the graph of the parent function f(x) = x2 when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d.

(A.8) Quadratic functions and equations. The student applies the mathematical process standards to solve, with and without technology, quadratic equations and evaluate the reasonableness of their solutions. The student formulates statistical relationships and evaluates their reasonableness based on real-world data.

(A) solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula.

(B) write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.

(A.10) Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite in equivalent forms and perform operations on polynomial expressions.

(A) add and subtract polynomials of degree one and degree two.

(E) factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two.

(A.11) Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite algebraic expressions into equivalent forms.

(A) simplify numerical radical expressions involving square roots.

(B) simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.

(A.12) Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to write, solve, analyze, and evaluate equations, relations, and functions.

(B) evaluate functions, expressed in function notation, given one or more elements in their domains.

Total Pages

184 pages

Answer Key

N/A

Teaching Duration

N/A

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