Algebra I Common Core Curriculum Guide Days for introduction Quarter Dates Introduced Common Core Standard CCSS ALCC Mathematical Practices Student Edition Lesson Resources: Student Edition Pages Algebra 1A or 1B 1 A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients. A.SSE.1 7a 4. Model with mathematics 1-1 5-9 A.SSE.2 Use the structure of an expression to identify ways to rewrite it. A.SSE.2 8 1-1 5-9 A.SSE.1b Interpret complicated expressions by viewing one or more of their parts as a single entity. A.SSE.1b 7b 7. Look for and make use of structure. 1-2 11-15 A.SSE.2 Use the structure of an expression to identify ways to rewrite it. A .SSE.2 8 7. Look for and make use of structure. 1-2 11-15 A.SSE.1b Interpret complicated expressions by viewing one or more of their parts as a single entity. A.SSE.1b 7b 2. Reason abstractly and quantitatiely. 3. Construct viable arguments and critique the reasoning of others. 1-3 18-22 A.SSE.2 Use the structure of an expression to identify ways to rewrite it. A .SSE.2 8 1-3 18-22
F.IF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in of the quantities, and sketch graphs showing key features given a verbal description of the relationship. F.IF.4 27 1. Make sense of problems and persevere in solving them. 1-8 57-61 A.CED.1 Create equations and inequalities in one variable and use them to solve problems. A.CED.1 11 2. Reason abstractly and quantitatively. 2-1 75-80 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.1 15 6. Attend to precision. 2-2 83-89 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 A.REI.1 15 8. Look for and express regularity in repeated reasoning. 2-3 91-96
argument to justify a solution method. A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. A.REI.3 16 2-3 91-96 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.1 15 1. Make sense of problems and persevere in solving them. 2-4 97-102 A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. A.REI.3 16 2-4 97-102
intercepts, maxima, and minima. F.IF.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. F.IF.6 29 2. Reason abstractly and quantitatively. 3-3 172-181 F.LE.1.a Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. F.LE.1 37 3-3 172-181 A.REI.10 Understand that the of an equations in two variables is the set of all the solutions plotted in the coordinate plane, often forming a curve (which could be a line). A.REI.10 15 1. Make of problems and persevere in solving them. 6. Attend to precision. 3-4 182-188 FIF.7a linear and quadratic functions and show intercepts, maxima, and minima. F.IF.7 30 3-4 182-188 F.BF.2 Write arithmetic and geometric sequences both recursively and with explicit formula, use them to model F.BF.2 34 8. Look for and express regularity in repeated reasoning. 3-5 189-196
A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. A.REI.3 16 5-3 298-303 A.CED.1 Create equations and inequalities in one variable and use them to solve problems. A.CED.1 11 1. Make sense of problems and persevere in solving them. 8. Look for and express regularity in repeated reasoning. 5-4 306-311 A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. A.REI.3 16 5-4 306-311 A.CED.1 Create equations and inequalities in one variable and use them to solve problems. A.CED.1 11 3. Construct viable arguments and critique the reasoning of others. 7. Look for and make use of structure. 5-5 312-316 A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. A.REI.3 16 5-5 312-316
A.CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. A.CED.3 11 5. Use appropriate tools strategically. 5-6 317-322 A.REI.12 Graph the solutions to a linear inequality in two variables as a halfplane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes. A.REI.12 23 5-6 317-322 A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. A.CED.2 12 3. Construct viable arguments and critique the reasoning of others. 8. Look for and express regularity in repeated reasoning 6-1 335-342 A.REI.6 Solve systems of equations of linear equations exactly and approximately (e.g. with graphs), focusing on A.REI.6 19 6-1 335-342
N.RN.1 Extend the properties of exponents to rational exponents. Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. N.RN.1 1 5. Use appropriate tools strategically. 7-3 406-413 N.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents. N.RN.2 2 7-3 406-413 A.SSE.2 Use the structure of an expression to identify ways to rewrite it. A.SSE.2 8 3. Construct viable arguments and critique the reasoning of others. 6. Attend to precision. 7-4 414-420 F.IF.7e exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude. F.IF.7e 30 1. Make sense of problems and persevere in solving them. 7-5 424-429 F.LE.2 Construct linear and exponential fuctions, including arithmetic and geometric sequences, a graph, a F.LE.2 38 7-5 424-429
equal factors over equal intervals. reasoning of others. 1.b Recognize situations in which one quantity changes at a constant rate per unit interval relative to another. F.BF.2 34 7-8 445-450 A.SSE.1a Interpret of an expression, such as terms, factors, and coefficients. A.SSE.1a 7 3. Construct viable arguments and critique the reasoning of others. 8-1 465-471 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. A.APR.1 10 8-1 465-471 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. A.APR.1 10 5. Use appropriate tools strategically. 8-2 472-477
A.SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.★a. Factor a quadratic expression to reveal the zeros of the function it defines. A.SSE.3a 9 7. Look for and make use of structure. 8.Look for and express regularity in repeated reasoning. 8-6 503-509 A.REI.4b Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b. A.REI.4b 17 8-6 503-509 A.SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.★ a. Factor a quadratic expression to reveal the zeros of the function it defines. A.SSE.3a 9 4. Model with mathematics 8-7 510-515
FIF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. F.IF.4 27 2. Reason abstractly and quantitatively. 9-1 543-554 FIF.7a Graph linear and quadratic functions and show intercepts, maxima, and minima. F.IF.7a 30 9-1 543-554 A.REI.4b Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b. A.REI.4b 17 3. Construct viable arguments and critique the reasoning of others. 6. Attend to precision. 9-2 555-560 FIF.7a Graph linear and quadratic functions and show intercepts, maxima, and minima. F.IF.7a 30 9-2 555-560
A-SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.★ b. Complete the square in a quadratic expression to reveal the zeros of the function it defines. A.SSE.3b 9 1. Make sense of problems and persevere in solving them. 8. Look for and express regularity in repeated reasoning. 9-3 564-571 FIF.7a Graph linear and quadratic functions and show intercepts, maxima, and minima. F.IF.7a 30 9-3 564-571 A-REI.4. Solve quadratic equations in one variable. a.Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)2 = q that has the same solutions. Derive the quadratic formula from this form. b Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the A.REI.4 17 4. Model with mathematics 9-4 574-579
A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. A-CED.2 12 10-4 643-646 1. Make sense of problems and persevere in solving them. 10-5 647-654 5. Use appropriate strategically. 10-6 655-662 1. Make sense of problems and persevere in solving them. 11-1 679-682 A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. A.CED.2 12 3. Construct viable arguments and critique the reasoning of others. 7. Look for and make use of structure. 11-2 685-689 Identify values excluded from the domain of a rational expression. Simplify rational expressions 7. Look for and make use of structure. 11-3 692-696 Multiply and Dividing Rational Expressions 1. Make sense of problems and 11-4 700-704
(interquartile range, standard deviation) of two or more different data sets. S.ID.3 Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliners) S.ID.3 42 12-3 765-770 S.ID.2 Use statistics appropriate to the shape of the data distribution to compare center(mean, median) and spread(interquartile range, standard deviation) of two or more different data sets. S.ID.2 41 1. Make sense of problems and persevere in solving them. 12-4 772-778 S.ID.3 Interpret differences in shape, center, and spread in teh context of the data sets, accounting for possible effects of extreme data points (outliners) S.ID.3 42 12-4 772-778 Calculate experimental probabilities. Design simulations and summarize data from simulations. 4. Model with mathematics 12-5 782-785 Use permutations. Use combinations. 8. Look for and express regularity 12-6 788-792
in repeated reasoning. S.ID.5 Summarize categorical data for two categories in frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data. S.ID.5 44 5. Use appropriate tools strategically. 12-7 795-800 S.ID.2 Use statistics appropriate to the shape of the data distribution to compare center(median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. S.ID.2 41 4. Model with mathematics 12-8 805-809