Solving one-variable linear equations (including Solving many absolute value equations infinite solutions and no solutions)-at the high algebraically requires a student to be able to solve school level this becomes a fluency linear equations in one variable. expectation. Understanding of and ability to work with Geometry students will need to be fluent in solving linear rational and irrational numbers. equations in one variable to apply geometry concepts. Fluency with properties of numbers. Ability to generate equivalent expressions and Algebra II equations. Solving polynomial, exponential, logarithmic Fluency with operations with rational numbers is radical, rational and trigonometric equations may an expectation at the 7th level. require students to solve linear equations in one variable Determining the domain of a rational function may require a student to solve a linear equation in one variable. The following skills/understandings developed in Linear In Algebra I Unit 2 students will: Middle school should support students in learning Inequalities in Graph linear inequalities in two variables Inequalities in One Variable”: One Variable Graph the solution set to a system of linear “Linear inequalities in two variables From grades K-8 students have built up to a fluency expectation of solving one-variable In Algebra II there are no standards that explicitly linear equations (including infinite solutions and mention solving inequalities in either one or two variables. no solutions) However, instruction could include graphing inequalities in two variables based on each function that is introduced.
Solving one-variable linear equations (including infinite solutions and no solutions)-at the high school level this becomes a fluency expectation. Understanding of and ability to work with rational and irrational numbers. Fluency with properties of numbers. Ability to generate equivalent expressions and equations. Fluency with operations with rational numbers is an expectation at the 7th level. Solving many absolute value equations algebraically requires a student to be able to solve linear equations in one variable. Geometry students will need to be fluent in solving linear equations in one variable to apply geometry concepts. Algebra II Solving polynomial, exponential, logarithmic radical, rational and trigonometric equations may require students to solve linear equations in one variable Determining the domain of a rational function may require a student to solve a linear equation in one variable. The following skills/understandings developed in Middle school should support students in learning “Linear Inequalities in One Variable”: From grades K-8 students have built up to a fluency expectation of solving one-variable linear equations (including infinite solutions and no solutions) Linear Inequalities in One Variable In Algebra I Unit 2 students will: Graph linear inequalities in two variables Graph the solution set to a system of linear inequalities in two variables In Algebra II there are no standards that explicitly mention solving inequalities in either one or two variables. However, instruction could include graphing inequalities in two variables based on each function that is introduced.
Unit_Relationships_btw_Quantities_and_Reasoning.docx