CCSS Algebra 1: Big Ideas. Draft NDTC October

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1 Unit 1: Relationships between Quantities and Reasoning with Equations o Equality and Inequality (Linear and Exponential) o Reasoning (Equations) Cluster Standards Students can: Reason quantitatively and use units to solve Interpret units in the context of the problem problems Use unit analysis to check the reasonability of your N.Q.1 solution N.Q.2 N.Q.3 Choose and interpret an appropriate scale given data to be represented on a graph or display Determine an appropriate quantity to model a situation Choose a level of accuracy appropriate to the measuring tool or situation Interpret the structure of expressions Interpret linear and exponential expressions that represent a quantity in terms of its context Create equations that describe numbers or relationships A.SSE.1 A.CED.1 A.CED.2 A.CED.3 A.CED.4 Identify the different parts of an expression and explain their meaning within the context of a problem Interpret expressions and make sense and make sense of the multiple factors and terms by explain the meaning of the individual parts Create linear and exponential equations and inequalities in one variable and use them in a contextual situation to solve problems Create linear and exponential equations in two or more variables to represent relationships between quantities Graph linear and exponential equations in two variables on a coordinate plane and label the axes and scales Draft NDTC October

2 Understand solving equations as a process of reasoning and explain the reasoning. Solve equations and inequalities in one variable CCSS Algebra 1: Big Ideas A.REI.1 A.REI.3 Draft NDTC October

3 o Relationships (functional) o Representations Unit 2: Linear and Exponential Relationships Extend the properties of exponents to rational exponents N.RN.1 Solve Systems of Equations N.RN.2 A.REI.5 Represent and solve equations and inequalities graphically Understand the concept of function and use function notation Interpret functions that arise in applications in terms of a context Analyze functions using different representations Build a function that models a relationship between two quantities A.REI.6 A.REI.10 A.REI.11 A.REI.12 F.IF.1 F.IF.2 F.IF.3 F.IF.4 F.IF.5 F.IF.6 F.IF.7 F.IF.9 F.BF.1 F.BF.2 Draft NDTC October

4 Build new functions from existing functions Construct and compare linear, quadratic, and exponential models and solve problems. Interpret expressions for functions in terms of the situation they model F.BF.3 F.LE.1 F.LE.2 F.LE.3 F.LE.5 Draft NDTC October

5 o Patterns o Modeling (Statistical) Unit 3: Descriptive Statistics Summarize, represent, and interpret data on a single count or measurement variable. S.ID.1 S.ID.2 Summarize, represent, and interpret data on two categorical and quantitative variables Interpret linear models S.ID.3 S.ID.5 S.ID.6 S.ID.7 S.ID.8 S.ID.9 Draft NDTC October

6 o Structure o Equivalence Unit 4: Expressions and Equations Interpret the structure of expressions A.SSE.1 Write expressions in equivalent forms to solve problems Perform arithmetic operations on polynomials Create equations that describe numbers or relationships Solve equations and inequalities in one variable Solve systems of equations A.SSE.2 A.SSE.3 A.APR.1 A.CED.1 A.CED.2 A.CED.4 A.REI.4 A.REI.7 Draft NDTC October

7 o Modeling (Quadratic) o Relationships Unit 5: Quadratic Functions and Modeling Use properties of rational and irrational numbers N.RN.3 Interpret functions that arise in applications in terms of a context F.IF.4 F.IF.5 Analyze functions using different representations F.IF.6 F.IF.7 F.IF.8 Build a function that models a relationship between two quantities Build new functions from existing functions. Construct and compare linear, quadratic, and exponential models and solve problems. F.IF.9 F.BF.1 F.BF.3 F.BF.4 F.LE.3 Draft NDTC October