ALGEBRA 1 COMMON CORE CURRICULUM - PC\|MAC

1 ALGEBRA 1 COMMON core CURRICULUM 1 TABLE OF CONTENTS Unit Section Pacing (Days) Page 1 1-1 Evaluating Expressions 1 5 1 1-2 Simplifying expressions 1 6 1 1-3 Writing Expressions 1 7 1 1-4 Writing Equations and Inequalities 1 8 1 1-5 Representing Functions 1 9 1 1-6 Modeling with Functions 1 10 1 Unit 1 Task 1 1 Unit 1 Test 1 2 2-1 Solving Linear Equations 1 11 2 2-2 Solving Linear Inequalities 1 12 2 2-3 Modeling with One-Variable Linear Equations and Inequalities 1 13 2 2-4 Literal Equations and Inequalities 14 2 2-5 Rewriting Formulas 15 2 2-6 Linear Equations in Two Variables 1 16 2 2-7 Linear Inequalities in Two Variables 17 2 2-8 Modeling with Two-Variable Linear Equations and Inequalities 18 2 Unit 2 Task 1 2 Unit 2 Test 1 3 3-1 Solving Linear Systems by Graphing 1 19 3 3-2 Solving Linear Systems by Substitution 1 20 3 3-3

2 Solving Linear Systems by Adding or Subtracting 1 21 3 3-4 Solving Linear Systems by Multiplying 1 22 3 3-5 Solving Systems of Linear Inequalities 23 3 3-6 Modeling with Linear Systems 24 3 Unit 3 Task 1 3 Unit 3 Test 1 ALGEBRA 1 COMMON core CURRICULUM 2 Unit Section Pacing (Days) Page 4 4-1 Discrete Linear Functions 1 25 4 4-2 Continuous Linear Functions 1 26 4 4-3 Using Slope 1 27 4 4-4 Changing the Values of m and b in f xmx b 1 28 4 4-5 Writing Linear Functions 1 29 4 4-6 Operations with Linear Functions 1 30 4 4-7 Linear Functions and Their Inverses 1 31 4 4-8 Correlations 1 32 4 4-9 Fitting Lines to Data 1 33 4 4-10 Linear Regression 1 34 4 Unit 4 Task 1 4 Unit 4 Test 1 5 5-1 Discrete Exponential Functions 1 35 5 5-2 Exponential Growth Functions 1 36 5 5-3 Exponential Decay Functions 1 37 5 5-4 Changing the values of a and b in xf xab 1 38 5 5-5 Solving Equations Involving Exponents 39 5 5-6 Performing Exponential Regression 40 5 5-7 Comparing Linear and Exponential Functions 1 41 5 5-8 Modeling with Exponential

3 Functions 1 42 5 Unit 5 Task 1 5 Unit 5 Test 1 6 6-1 Piecewise Functions 1 43 6 6-2 Translating the Graph of f xx 1 44 6 6-3 Stretching, Shrinking, and Reflecting the Graph of f xx 1 45 6 6-4 Combining Transformations of the Graph of f xx 1 46 6 6-5 Solving Absolute Value Equations 1 47 ALGEBRA 1 COMMON core CURRICULUM 3 Unit Section Pacing (Days) Page 6 6-6 Modeling with Absolute Value Functions 1 48 6 Unit 6 Task 1 6 Unit 6 Test 1 7 7-1 Translating the Graph of 2f xx 1 49 7 7-2 Stretching, Shrinking, and Reflecting the Graph of 2f xx 1 50 7 7-3 Combining Transformations of the Graph of 2f xx 1 51 7 7-4 Solving Quadratic Equations Graphically 1 52 7 7-5 Solving Quadratic Equations Using Square Roots 53 7 7-6 Modeling with Quadratic Functions 54 7 Unit 7 Task 1 7 Unit 7 Test 1 8 8-1 Multiplying Binomials 1 55 8 8-2 Solving 20xbx c by Factoring 56 8 8-3 Solving 20axbx c by Factoring 57 8 8-4 Solving 20xbx c by Completing the Square 58 8 8-5 Solving 20axbx c by Completing the Square 59 8 8-6 Deriving the Quadratic Formula 1 60 8 8-7 Using the Quadratic Formula 61 8 8-8 Graphing Functions of the form 2f xaxbx c 62 8 8-9 Solving Systems of Linear and Quadratic Equations 1 63 8 8-10

4 Modeling with Quadratic Functions 1 64 8 Unit 8 Task 1 8 Unit 8 Test 1 9 9-1 Measures of Center and Spread 1 65 9 9-2 Data Distributions and Outliers 1 66 9 9-3 Histograms 1 67 9 9-4 Box Plots 1 68 ALGEBRA 1 COMMON core CURRICULUM 4 Unit Section Pacing (Days) Page 9 9-5 Two-Way Frequency Tables 1 69 9 Unit 9 Task 1 9 Unit 9 Test 1 90 Pages 70-77 list COMMON core tasks linked by standard. Click on the link to access the task. NOTE: The suggested pacing has been designed for a single semester block course. For year-long courses, apply proportional pacing. Highlighted Standards Key Pink TN Focus Clusters (CRAs assess these) Green Major works of the grade Blue Supporting clusters Yellow Additional clusters ALGEBRA 1 COMMON core CURRICULUM 5 UNIT 1: ALGEBRAIC MODELING AND UNIT ANALYSIS 1-1 Evaluating Expressions CCSSI Standards Use units as a way to and to guide the solutions of multi-step Interpret expressions that represent a quantity in terms of its context.

5 Interpret parts of an expression, such as terms, factors, and coefficients. Interpret complicated expressions by viewing one or more of their parts as a single entity. Mathematical Practices Practice #7 Differentiate between factors and terms. (Look for and make use of structure) Academic Vocabulary algebraic expression numerical expression constant order of operations coefficient term evaluate variable expression Essential Question How do you interpret and evaluate algebraic expressions that model real-world situations? Skills 1. Use the order of operations to simplify algebraic expressions 2. Identify coefficients 3. Identify constants 4. Identify the terms of an algebraic expression 5. Evaluate algebraic expressions 6. Use unit analysis to solve problems Alignment to Current Textbook Section 1-1 ( ), Section 1-6 ( ) Notes COMMON core assumes students can operate with integers.

6 ALGEBRA 1 COMMON core CURRICULUM 6 UNIT 1: ALGEBRAIC MODELING AND UNIT ANALYSIS 1-2 Simplifying Expressions CCSSI Standards Use units as a way to and to guide the solutions of multi-step Interpret expressions that represent a quantity in terms of its context. Interpret parts of an expression, such as terms, factors, and coefficients. Use the structure of an expression to identify ways to rewrite it. Mathematical Practices Practice #7 Analyze the properties of real numbers used for simplifying expressions. (Look for and make use of structure) Academic Vocabulary Commutative Property of Addition Associative Property of Multiplication Associative Property of Addition multiplicative identity additive identity multiplicative inverses additive inverses Distributive Property Commutative Property of Multiplication Essential Question How can you rewrite algebraic expressions?

7 Skills 1. Compare expressions 2. Use properties to simplify expressions 3. Identify properties 4. Simplify expressions Alignment to Current Textbook Section 1-7 ( ) Notes ALGEBRA 1 COMMON core CURRICULUM 7 UNIT 1: ALGEBRAIC MODELING AND UNIT ANALYSIS 1-3 Writing Expressions CCSSI Standards Use units as a way to and to guide the solutions of multi-step Define appropriate quantities for the purpose of descriptive modeling. Interpret expressions that represent a quantity in terms of its context. Interpret parts of an expression, such as terms, factors, and coefficients. Use the structure of an expression to identify ways to rewrite it. Mathematical Practices Practice #1 Translate verbal phrases into algebraic expressions so that they can be evaluated mathematically.

8 (Make sense of problems and persevere in solving them) Academic Vocabulary addition division subtraction quotient multiplication Essential Question How do you write algebraic expressions to model quantities? Skills 1. Write an algebraic expression to model a phrase. 2. Write a phrase to model an algebraic expression. 3. Use unit analysis to guide modeling. Alignment to Current Textbook Section 1-1 ( ) Notes ALGEBRA 1 COMMON core CURRICULUM 8 UNIT 1: ALGEBRAIC MODELING AND UNIT ANALYSIS 1-4 Writing Equations and Inequalities CCSSI Standards Define appropriate quantities for the purpose of descriptive modeling. Create equations and inequalities in one variable and use them to solve problems. Represent constraints by equations or and interpret solutions as viable or nonviable options in a modeling context.

9 Mathematical Practices Practice #2 Represent a situation symbolically and expand the solution set based upon the units being used. (Reason abstractly and quantitatively) Academic Vocabulary equation inequality solution of an equation solution of an inequality Essential Question How do you represent relationships algebraically? Skills 1. Write equations from verbal models. 2. Solve equations from verbal models. 3. Write inequalities from verbal models. 4. Solve inequalities from verbal models. Alignment to Current Textbook Section 2-1 ( ), Section 3-1 ( ) Notes ALGEBRA 1 COMMON core CURRICULUM 9 UNIT 1: ALGEBRAIC MODELING AND UNIT ANALYSIS 1-5 Representing Functions CCSSI Standards Choose and interpret the scale and the origin in graphs and data displays.

10 Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then fx denotes the output of f corresponding to the input x. The graph of f is the graph of the equation yf x . Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. Mathematical Practices Practice #2 Analyze inputs and outputs and their associated units. (Reason abstractly and quantitatively) Academic Vocabulary function independent variable domain dependent variable range function rule function notation Essential Question How do you represent functions?