LEONA QSI CURRICULUM MAP OUTLINE Course: Algebra 1A Unit 1 Foundations of Algebra 8 days Common Core Math Standard(s) Mathematical Practice(s) = Major □ = Supporting ○= Additional (★)=Modeling Representing Problems in a Context Reason with properties of Real Numbers Use properties to manipulate Polynomials Introduction to Problem Solving □N-Q.1, □N-Q.2, □N-Q.3 ○N-RN.3 Explain why the sum or product of two rational numbers are rational, that the sum of a rational number and an irrational number is irrational, and that the product of a nonzero rational number and an irrational number is irrational. A-SSE.1a Interpret expressions that represent a quantity in terms of its context interpret parts of an expression such as terms factors and coefficients. A-SSE.1.b Interpret complicated expressions by viewing one of more of their parts as a single entity. A-SSE.2 MP.1 MP.2 MP.3 MP.4 MP.5 MP.6 MP.7 MP.8 Use the structure of an expression to identify ways to rewrite it. A-APR.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract and multiply polynomials. Key Vocabulary: Equivalent, Expressions, Variable, Coefficient, Constant, Like Terms, Simplifying, Distribution, Factor, Properties, Absolute Value, Polynomials, Degree, Monomials, Standard Form, Leading Terms, Modeling, Reasoning, Structures, Units, Estimate, Translate, Represent, Strategic Essential Questions: How can a relationship between quantities be represented numerically, symbolically, or graphically? What procedures must be followed to manipulate expressions? Unit 2 Linear Equations 12 days Common Core Math Standard(s) Mathematical Practice(s) = Major □ = Supporting ○= Additional (★)=Modeling Single Variable Equations in Context ○N-RN.3, □N-Q.1, □N-Q.2, □N-Q.3, Applications of Ratios & Proportions equations arising from linear and quadratic functions, and simple rational and exponential functions. Tasks are limited to linear, quadratic, or exponential equations with integer exponents. Rewriting Literal Equations & Formulas inequalities, and interpret solutions as viable or non-viable options in a modeling context. For examples, represent inequalities describing nutritional and cost constraints on combinations of different foods. A-SSE.1a, A-SSE.1.b, A-SSE.2 A-CED.1Create equations and inequalities in one variable and use them to solve problems. Include A-CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or A-CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in MP.1 MP.2 MP.3 MP.4 MP.5 MP.6 MP.7 MP.8 solving equations. A-REI.1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. A-REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. Key Vocabulary: Equivalent, Variable, Coefficient, Constant, Like Terms, Simplifying, Distribution, Factor, Properties, Modeling, Reasoning, Structures, Units, Estimate, Translate, Represent, Strategic, Equations, Inverse Operations, Reciprocal, Identity, Formula, Reasonable Solutions, Critique, Rearrange, Quantity of Interest Essential Questions: How can equations be used to solve problems in context? How can the structure of an equation help determine a solution strategy? Unit 3 Inequalities Single Variable Inequalities in Context Compound Inequalities in Context 8 days Common Core Math Standard(s) Mathematical Practice(s) = Major □ = Supporting ○= Additional (★)=Modeling ○N-RN.3, □N-Q.1, □N-Q.2, □N-Q.3, A-SSE.1a, A-SSE.1.b, A-SSE.2 A-CED. 1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. Tasks are limited to linear, quadratic, or exponential equations with integer exponents. A-CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For examples, represent inequalities describing nutritional and cost constraints on combinations of different foods. MP.1 MP.2 MP.3 MP.4 MP.5 MP.6 MP.7 MP.8 A-CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. A-REI.1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. A-REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. Key Vocabulary: Equivalent, Variable, Coefficient, Constant, Like Terms, Simplifying, Distribution, Factor, Properties, Absolute Value, Modeling, Reasoning, Structures, Units, Estimate, Translate, Represent, Strategic, Equations, Inverse Operations, Reciprocal, Identity, Reasonable Solutions, Critique, Rearrange, Quantity of Interest, Inequality, Compound Statements, Union, Intersection, Line Graphs Essential Questions: How can inequalities be used to solve problems in context? How can the structure of an inequality help determine a solution strategy?