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Algebra 1 Curriculum Map Quarter 1 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning strategies, teacher team for immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Standards Language Unit 1 Focus: Introduction to Algebra 1-1 1-1 1-2 Algebraic expressions Order of operations Commutative Property Pg. 7-8 12-22; 23-30; 41-45 2-2 1-6 1-7 Solution Set 18; 42-52 1. To express numbers with exponents 2. To evaluate expressions with exponents 3. To write equivalent expressions using properties 4. to use the distributive property to write equivalent expressions 5. To use the distributive property to factor expressions 1.0 Arithmetic properties of integers 2.0 Students understand and use such operations and raising to a fractional power. They understand and use the rules of exponents. 4.0 Students simplify expressions before solving linear equations 32; 64-75 1. To write algebraic expressions in one variable 2. To determine whether an equation is true, false, or open 3. To find solution sets of an equation 4. To recognize equivalent equations 1. To solve problems Use Guess and Check 2.0 Students understand and use such operations and raising to a fractional power. They understand and use the rules of exponents. 5.0 Students solve multi-step problems Pg. 36-37 1-27; 37-42 Study Team Test Unit 1 4-4 1.0 Arithmetic properties of integers Pg. 27 7-12; 16-24; 31-34; 55-60 Pg. 30-31 29-41; 49-51 3-3 1. To evaluate algebraic expressions 2. To use order of operations 3. To use commutative prop. +/X Pg. 14 1-8; 20-29 Pg. 17 13-34 1-3 1-5 Exponents Equivalent expressions Distributive Property 8; 51-61 1-10 37; 50-62 Pg. 45-46; 7-17 1 Revised 3/12/07 5.0 Students solve multi-step problems Algebra 1 Curriculum Map Quarter 1 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning strategies, teacher team for immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Standards Language Unit 2 Focus: Integers and Rational Numbers 5-1 6-2 2-1 Integer 2-4 2-5 Rational Number Process Study Team Test 58; 73-90 Pg. 57 14-21; 34-41; 45-47; 5253 Pg. 75 12-20; 33-38; 45-49 Int. PB 16; 6-9; 18-23 2-6 reciprocal 80; 60-74 Pg. 79 27-30; 33-34; 39-41; 4750 Individual Test Unit 1 7-3 (Diamond Problems) 8; 74-86 Pg. 84-85 10-15; 28-31; 43-51 Add some simple 1. To give an integer that corresponds to a real word situation 1.0 Arithmetic properties of integers 2pa-Diamond problems Square Roots 1. To subtract rational numbers using a number line 2. To subtract rational numbers without using a number line 3. To multiply rational numbers 4. To solve problems using equations 1. To divide rational numbers 2. To find the reciprocal of a rational number 1.0 Arithmetic properties of integers 2pa-Diamond problems Square Roots to 2PA-Diamond problems Square Roots 2PA’s. 8-4 2-7 Expressions Combine like terms Factor Process IT Unit 1 Pg. 91 1-6;11-13; 15-24 92; 60-69 1. To multiply using the distributive property of x over – 2. To factor expressions 3. To collect (combine) like terms in an expression 1.0 Arithmetic properties of integers 4.0 Students simplify expressions before solving linear equations 10.0 Multi-step problems using polynomials 2PA-Diamond problems Square Roots 2 Revised 3/12/07 1.0 Arithmetic properties of integers 2.0 Students understand and use such operations and raising to a fractional power. They understand and use the rules of exponents. Algebra 1 Curriculum Map Quarter 1 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Language Pg. 96-97 97; 52-65 1. To find the inverse of a sum 1-6; 13-18; 36-40 2. To simplify expressions 2-8 involving parentheses Pg. 100-101 3. to simplify expressions 9-5 2-9 5-10 containing multiple grouping Inverse symbols Simplify 4. To write an equation that can be used to solve a problem 2PA Square Roots Unit 3 Focus: Equations and Inequalities Study Team Test Unit 2 129; 57-72 1. to solve equations by using the addition and multiplication Pg. 127 properties 4-14;17-24;32-37 2. To solve equations by first collecting (Combining) like terms 3-3 3. To solve equations containing 10-1 Inverse parentheses operations Process STT Unit 2 CPM 4, pg. 4-5 11-2 3-4 May use 3-4 also 135; 30-40 1. To translate phrases to algebraic expressions 2. To solve problems by writing and solving equations Guess and Check 3 Revised 3/12/07 strategies, teacher team for Standards 1.0 Arithmetic properties of integers 2.0 Students understand and use such operations and raising to a fractional power. They understand and use the rules of exponents. 4.0 Students simplify expressions before solving linear equations 10.0 Multi-step problems using polynomials 1.0 Arithmetic properties of integers 1.1 Stuents use properties of numbers 2.0 Students understand and use such operations and raising to a fractional power. They understand and use the rules of exponents. 4.0 Students simplify expressions before solving linear equations 5.0 Solve multi-step problems, involving linear equations and linear inequalities in one variable 2.0 Students understand and use such operations and raising to a fractional power. They understand and use the rules of exponents. 4.0 Students simplify expressions before solving linear equations 5.0 Solve multi-step problems, involving linear equations and linear inequalities in one variable Algebra 1 Curriculum Map Quarter 1 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Language Pg. 137 138; 35-44 1. To solve equations by first 7-10; 13-14; 21-26; 30-33 getting all variables on the same 3-5 side of the equation 12-3 Variables 2. To solve equations that Constants contain parentheses Guess and Check Individual Test Unit 2 141; 311. To clear an equation of 33; 34-47 fractions or decimals 13-4 3-6 Pg. 140 11-16; 25-28 Pg. 143 14-5 3-7 15-6 3-8 Absolute Value 16-11 3-9 Ratio Proportions 1-8 INT PB 16; 6-9; 18-23 Pg. 146 10-18; 23-28; 42-49 Show 2 forms of equations: |x| + 1 = 1 and |x + 1| = 1 INT 622; 28-30 623; 11-13 Pg. 150 9-21; 25-30 144; 34; 43-52 1. To solve for a given variable in a formula 147; 71-82 1. To solve equations involving absolute value Standards 4.0 Students simplify expressions before solving linear equations 5.0 Solve multi-step problems, involving linear equations and linear inequalities in one variable 4.0 Students simplify expressions before solving linear equations 5.0 Solve multi-step problems, involving linear equations and linear inequalities in one variable 5.0 Solve multi-step problems, involving linear equations and linear inequalities in one variable 3.0 Students solve equations and inequalities involving absolute values. 150; 38, 39; 40-42; 44-61 odd 1. To solve proportions 2. To solve problems involving proportions 4 Revised 3/12/07 strategies, teacher team for 5.0 Solve multi-step problems, involving linear equations and linear inequalities in one variable Algebra 1 Curriculum Map Quarter 1 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning immediate intervention including RSP teacher assistance Unit/Lesson Day Academic Class Work Homework Objectives Language Pg. 156 156; 44, 51 1. To express decimals and fractions as percents and vice 6-10; 16-20; 31-40; 48, 50 157; 55-67 versa INT PB 16; 6-9 2. To solve equations involving 3-10 17-12 17; 1-3, 19-22, 23percents 26 3. To solve percent problems Pg. 160 18-13 19-1 3-11 4-1 Inequality Solution 162; 43-50 25-30 Study Team Test Unit 3 Process STT Unit 3 Pg. 173; 1-20; 26-31 INT CPM; 23-30 169; 27-28 37-39, 4142 174; 37-45 186; 70-85 20-2 4-3 4-4 Pg. 182; 10-21 Pg. 184; 13-22; 34-39 Pg. 190; 10-22 21-3 4-5 Study Team Test Unit 3/4 Quarter 1 Benchmark Test Process STT 3 191; 31-37 1. To translate compound phrases into algebraic expressions 2. To solve problems by writing and solving equations 1. To determine whether a number is a solution of an inequality 2. To graph inequalities on the number line 1. To solve inequalities using the multiplication property Reverse <> when x/÷ across <> 2. To solve inequalities using +/x properties 1. To solve problems by translating and solving inequalities Notes: 5 Revised 3/12/07 strategies, teacher team for Standards 2.0 use such operations-opposite, reciprocal, roots, fractional powers rules of exponents. 3.0 Students solve equations and inequalities involving absolute values. 5.0 Solve multi-step problems, involving linear equations and linear inequalities in one variable 4.0 Simplify expressions before solving linear equations 5.0 Solve multi-step problems, involving linear equations and linear inequalities in one variable 1.0 Arithmetic properties of integers 5.0 Solve multi-step problems, involving linear equations and linear inequalities in one variable 5.0 Solve multi-step problems, involving linear equations and linear inequalities in one variable Algebra 1 Curriculum Map Quarter 2 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning strategies, teacher team for immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Standards Language Unit 7 Focus: Graphs and Linear Equations 1-1 7-2 Process STT Units 3/4 Linear Intercepts Orderd pair Pg. 311 7-3 2-2 3-3 4-4 * 1-6; 22-28 INT PB 54 Pg. 316 Horizontal Vertical Linear intercepts 7-4 6-9; 22-27; 34-39 10-15, 28-32, 40, 41 Slope Horizontal Vertical linear 7-5 8-10; 13-18;21-24 INT 321; 1-7, 11-12, 2528 Slope y-intercept slope-intercept 19-27; 28-33; 41-44; 4853 (48-53 may want more time) INT 326; 1-9 Pg. 321 Pg. 326 Process Q1 Benchmark Test 182; 47-53 1. To determine whether an ordered pair is a solution of an equation 2. To graph equations in two variables 6.0 Students graph a linear equations and compute the x- and y- intercepts 308; 27-28, 40-43 317; 56 1. To graph linear equations in two variables 2. To graph linear equations using intercepts 3. To graph linear equations that graph as horizontal lines 1. To find the slope of a line given two points on a line 2. To describe slope for horizontal and vertical lines 6.0 Students graph a linear equations and compute the x- and y- intercepts 1. To find the slope of a line from an equation 2. To find the slope and yintercept of a line from an equation 3. To graph lines using the slopeintercept equation 6.0 Students graph a linear equations and compute the x- and y- intercepts 322; 29-31 43-44 327; 59-64 6.0 Students graph a linear equations and compute the x- and y- intercepts Homework assignments will need augmentation since chapters have been rearranged. Make sure spiral review is included in all homework assignments 6 Revised 3/12/07 Curriculum Map Quarter 2 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Language 7-6 Pg. 331 332; 36-40 1. To write an equation of a line using the slope-intercept 5-5 Slope-intercept 10-12; 17-22; 23-26 equation Point-slope 2. To write an equation of a line using the point-slope equation 7-7 Pg. 335 337; 16, 1. To find an equation of a line 17; 24-27 that models given data x-intercepts 6-10 y-intercepts linear equations 6-6 6-7 7-8 Pg. 340 Parallel Perpendicular x-intercepts y-intercepts 4-12; 16-21 Graph 4-7 INT Slope intercept 341; 42-48 1. To determine whether the graphs of two equations are parallel 2. To determine whether the graphs of two equations are perpendicular 7 Revised 3/12/07 strategies, teacher team for Standards 7.0 Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the pointslope formula. 2.0 Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. 6.0 Students graph a linear equations and compute the x- and y- intercepts 7.0 Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the pointslope formula. 6.0 Students graph a linear equations and compute the x- and y- intercepts 7.0 Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the pointslope formula. 8.0 Students understand the concepts of parallel lines and perpendicular lines and how those slopes are related. Algebra 1 Curriculum Map Quarter 2 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Language 12-1 Pg. 539 340; 1-3, 1. To determine whether a given 13-15, 26 relation is a function Systems of 4-14; 15-18; 21-25 2. To find the value of a function equations 7-8 Function 21-1 and -2 have Domain been moved from range Q4 12-2 Study Team Test Unit 7 Systems of equations Function Domain range Pg. 542 8-9 557; 1-12 1. To recognize a function 2. To find the domain of a function 3. To graph a function 27;1-15 281-33 1. To determine if an ordered pair is a solution 2. To find m, b, || and 1-14; 15-16; 30-31 21-1 and -2 have been moved from Q4 Academic Language (ELD): Function, domain, range Process STT Unit 7 PB 263; 28-30, 34-36 8-10 8 Revised 3/12/07 strategies, teacher team for Standards 7.0 Students verify that a point lies on a line 9.0 Students solve a system of two linear equations 16.0 Students understand the concepts of a relation and a function 17.0 Students determine the domain of independent variables 1.1 Students use properties of numbers 3.0 Students solve equations and inequalities involving absolute values. 10.0 Students solve multistep problems 13.0 Students add, subtract, multiply, and divide rational expressions conceptually challenging problems by using these techniques. 16.0 Students understand the concepts of a relation and a function 17.0 Students determine the domain of independent variables 18.0 Students determine whether a relation defined by a graph 7.0 Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the pointslope formula. Algebra 1 Curriculum Map Quarter 2 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Language Unit 8 Focus: Systems of Equations/Unit 9 Focus: Equations with Absolute Value 8-1 Pg. 360 361; 30-33 1. To determine whether an 5-8; 9-11; 18-20 ordered pair is a solution of a 9-1 Ordered pair system of equations Solution of a CPM-Choosing a Phone Plan 2. To find the solution of a system system of equations by graphing 8-2 Pg. 365 366; 36-38 1. To solve a system of 10-21 equations by substituting for a Substitution variable 10-2 system of 2. To solve problems using equations systems of equations solution 11-3 8-3 Individual Test Unit 7 Substitution elimination Pg. 371 7-12; 19-24 372; 49-53 1. To solve a system of equations using the addition method (Elimination 2. To solve a system of equations using the multiplication and addition properties 9 Revised 3/12/07 strategies, teacher team for Standards 9.0 Students solve a system of two linear equations in two variables. 9.0 Students solve a system of two linear equations in two variables. 8.0 Students understand the concepts of parrallel and perpendicular lines. 9.0 Students solve a system of two linear equations in two variables 11.0 Students apply basic factoring techniques to second- and simple third-degree polynomials. Algebra 1 Curriculum Map Quarter 2 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Language 8-4 Process IT Unit 7 379; 23-31 1. To solve problems using systems of equations Substitution Pg. 377 elimination 1-10 May want to combine with 8-5 12-4 8-5 13-5 Motion Rate Work mixture Pg. 383-384 1-10 9-3 14-1 function, domain range absolute value inverse Pg. 412 4-12; 28-33 Standards 2.0 Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. 7.0 Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the pointslope formula. 9.0 Students solve a system of two linear equations in two variables 11.0 Students apply basic factoring techniques to second- and simple third-degree polynomials. 386; 2223; 26-29 1. To solve problems involving uniform motion 5.0 Students solve multistep problems, including word problems. 15.0 Students apply algebraic techiques to solve rate problems, work problems, and percent mixture problems. 412; 3842; 46-48 1. To solve and equations involving absolute value. 3.0 Students solve equations and inequalities involving absolute values. 10 Revised 3/12/07 strategies, teacher team for Algebra 1 Curriculum Map Quarter 2 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Language 9-4 1. To solve and graph Pg. 415 inequalities involving absolute Domain 5-15; 22-25, 40-42 value of the form |A| < b 15-2 Range 2. To solve and graph absolute value inequalities involving absolute inequalities value of the form |A| > b 9-5 16-3 Inequality solution set 9-6 Linear inequalities Variables 420; 46-50 Pg. 419 7-18; 28-33 Study Team Test Unit 8/9 424; 32-37 1. To determine whether a given ordered pair is a solution of an inequality 2. To graph inequalities in two variables 1. To graphs systems of linear inequalities in two variables Pg. 423 4-12; 24-27 17-4 11 Revised 3/12/07 strategies, teacher team for Standards 3.0 Students solve equations and inequalities involving absolute values. 6.0 Students graph a linear equations and compute the x- and y- intercepts. 9.0 Students solve a system of two linear equations in two variables 1.0 Students identify and use the arithmetic properties. 1.1 Students use properties of numbers to demonstrate whether assertions are true or false. 3.0 Students solve equations and inequalities involving absolute values. 9.0 Students solve a system of two linear equations in two variables 11.0 Students apply basic factoring techniques to second- and simple third-degree polynomials. Algebra 1 Curriculum Map Quarter 2 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning strategies, teacher team for immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Standards Language Unit 5 Focus: Exponents and Polynomials 5-1 18-1 Exponential form Power exponents 5-2 5-3 19-2 Monomials Polynomials Power exponent 5-4 5-5 Process STT Unit 8/9 Pg. 207 20-3 1. To multiply numbers in exponential form 2. To divide numbers in exponential form 2.0 Students understand and use such operations and raising to a fractional power. They understand and use the rules of exponents. 216; 78-90 1. 2. or 3. 4. To find a power of a power To find a power of a product quotient To multiply monomials To divide monomials 2.0 Students understand and use such operations and raising to a fractional power. They understand and use the rules of exponents. 10.0 Students add, subtract, multiply, and divide monomials and polynomials. 225 57-68 1. To write numbers using scientific notation 2. To identify terms and coefficients and factors of a term 3. To simplify a polynomial by collecting like terms 4. To identify the degree of a polynomial 2.0 Students understand and use such operations and raising to a fractional power. They understand and use the rules of exponents. 10.0 Students add, subtract, multiply, and divide monomials and polynomials. 15-22; 31-38; 47-50; 6370 Academic Language (ELD): Function, domain, range Pg. 212 29-49; 62-67 Pg. 214 4-6; 19-24; 29-36 Individual Test Units 8/9 Pg. 219 Scientific notation Coefficients Factors Degree of a polynomial 208; 96107 10-12; 21-24; 29-30; 3436 Pg. 224 9-14; 21-24; 35-40 12 Revised 3/12/07 Algebra 1 Curriculum Map Quarter 2 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning strategies, teacher team for immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Standards Language 5-6 Process IT Test Units 8/9 235; 34-46 1. To write polynomials in 2.0 Students understand and use 5-7 ascending and descending order such operations and raising to a Pg. 229 2. To evaluate polynomials fractional power. They understand Coefficients 3-6; 11-14; 21-28, 33-34, 3. To add polynomials and use the rules of exponents. 21-4 Factors 37 Show adding in columns 10.0 Students add, subtract, Degree of a multiply, and divide monomials and polynomial Pg. 233 polynomials. 1, 3-6; 10-15, 25 2pa-Diamond problems 5-8 Pg. 238 239; 45-51 1. To subtract polynomials 4.0 Students simplify expressions Scientific Show subtracting in columns before solving linear equations notation 4-6; 11-30; 31-37 2pa-Diamond problems 22-5 Coefficients Factors Degree of a polynomial 5-9 Pg. 242 244; 77-84 1. To multiply a monomial by a 10.0 Students add, subtract, polynomial multiply, and divide monomials and 23-6 Monomial 11-16; 21-30; 45-54; 552. To multiply two binomials polynomials. polynomial 58; 70-71 Use generic rectangle 2pa-Diamond problems 5-10 Study Team Test Unit 5 252; 60-71 1. To multiply the sum and 10.0 Students add, subtract, 5-11 difference of two expressions multiply, and divide monomials and Pg. 247 2. To square a binomial polynomials. Monomial Difference of squares/Perfect 24-7 Polynomial 1-6; 17-26; 35-38 squares 2pa-Diamond problems Difference of 3. To multiply any two squares Pg. 251 polynomials binomial Use generic rectangle 1-6; 21-24; 29-32; 47-50 Quarter 2 Benchmark Test *Homework assignments will need augmentation since chapters have been rearranged. Make sure spiral review is included in all homework assignments Algebra 1 Curriculum Map 13 Revised 3/12/07 Quarter 3 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning strategies, teacher team for immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Standards Language Unit 6 Focus: Factoring Quadratics 1-1 6-2 Factoring Relatively prime Difference of two squares 2-2 6-3 Trinomial square 3-3 6-4 Binomial Monomial Zero product property 4-4 Study Team Test Unit 5 269; 83-95 1. To recognize a difference of two squares 2. To factor a difference of two squares 3. To factor a difference of two squares completely 10.0 Students add, subtract, multiply, and divide monomials and polynomials. 11.0 Students apply basic factoring techniques to second- and simple third-degree polynomials. Process STT Unit 5 Pg. 271; 11-24; 35-38; 4550; 55-56 272; 65-71 1. To recognize a trinomial square 2. To factor trinomial squares 11.0 Students apply basic factoring techniques to second- and simple third-degree polynomials. Pg. 276 277; 58-68 1. To factor trinmoials of the type x x2 + bx + c where c > 0 2. To factor trinomials of the type x x2 + bx + c where c < 0 3.0 Students solve equations and inequalities involving absolute values 11.0 Students apply basic factoring techniques to second- and simple third-degree polynomials. Pg. 279; 1-15; 31-46 280; 57-69, 70-76 1. To factor trinmoials of the type x2 + bx + c where c > 0 2. To factor trinomials of the type x2 + bx + c where c < 0 3.0 Students solve equations and inequalities involving absolute values 11.0 Students apply basic factoring techniques to second- and simple third-degree polynomials. Individual Test Unit5 Pg. 282; 1-12 282; 33-34 1. To factor polynomials by grouping Strategy pg. 283 11.0 Students apply basic factoring techniques to second- and simple third-degree polynomials. Pg. 264; 19-227; 30-41 7-16; 17-30; 39-46 6-4 Quadratic equation 6-5 5-5 Polynomial Process Q2 Benchmark Test 14 Revised 3/12/07 Algebra 1 Curriculum Map Quarter 3 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Language Process IT Unit 5 290; 73-81 1. To solve equations expressed as a product of factors equal to Pg. 289; 1-6; 27-44; 55-60 zero 6-6 6-6 2. To factor and solve equations 7-7 8-1 Pg. 294; 5-12 296; 35-47 1. To solve problems by writing and solving equations Study Team Test Unit 6 579; 71-82 1. To write quadratic equation in standard form 2. To solve an equation of the form ax2 + bx = 0 3. To solve an equation of the form ax2 + bx + c = 0 1. To solve an equation of the form ax2. = k 2. To solve a quadratic by factoring one expression into a binomial square 3. To solve problems using quadratic equations 6-7 13-1 Pg. 578; 1-3; 10-12; 2224; 45-48 Process STT Unit 6 9-2 13-2 Binomial square Pg. 583; 1-3; 7-12; 16-19; 28-33 371; 20-26 15 Revised 3/12/07 strategies, teacher team for Standards 10.0 Students add, subtract, multiply, and divide monomials and polynomials. 14.0 Students solve a quadratic equation by factoring or completing the square. 14.0 Students solve a quadratic equation by factoring or completing the square. 11.0 Students apply basic factoring techniques to second- and simple third-degree polynomials. 11.0 Students apply basic factoring techniques to second- and simple third-degree polynomials. May want to add some applications here Algebra 1 Curriculum Map Quarter 3 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Language Pg. 588 365; 15-20 1. To complete a square for a quadratic equation 1, 2, 5, 6, 7, 10-19, 26-27 2. To solve a quadratic equation by completing the square 13-3 10-3 Completing the square 11-4 12-5 13-4 Discrininamt Quantity Quadratic formula 13-5 Individual Test Unit 6 594; 74-82 Pg. 593 (642; 1722, 38-41) 13-18; 25-27; 28; 37-40; 41-42; 45-46; 49-50 1. To use the quadratic formula to solve quadratic equations 2. To use the discriminant to find the number of solutions for a quadratic equation (642; 4954) Process IT Unit 6 597; 44-60 Pg. 596 (638; 1-8) 1. To solve rational equations involving quadratic equations 1-12; 22-33 16 Revised 3/12/07 strategies, teacher team for Standards 14.0 Students solve a quadratic equation by factoring or completing the square. 19.0 Students know the quadratic formula and are familiar with its proof by completing the square. 22.0 Students use the quadratic formula or factoring techniques or both to determine whether the graph of a quadratic function will intersect the x-axis in 0, 1, points. 19.0 Students know the quadratic formula and are familiar with its proof by completing the square. 20.0 Students use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations. 22.0 Students use the quadratic formula or factoring techniques or both to determine whether the graph of a quadratic function will intersect the x-axis in zero, one, or two points. 13.0 Students solve problems involving rational expressions. 14.0 Students solve a quadratic equation by factoring or completing the square. Algebra 1 Curriculum Map Quarter 3 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Language Pg. 600; 2, 8, 9, 13-22 601; 61-77 1. To solve radical equations 13-6 involving quadratic equations 13-6 Radical 2. To solve formulas for given variables Study Team Test Unit 13 606; 22-29 1. To solve problems using quadratic equations Pg. 609; 4-6, 9-11, 17-20, 25-32 147/8 May want to spend more than one day on this. 13-7 Come back to pg. 605 just before CST CPM 2-7 20-22 15-1 10-1 Rational expressions Process STT 13 435; 47-53 Pg. 434 477; 1-4 1. To simplify rational expressions 4-15; 19-30 17 Revised 3/12/07 strategies, teacher team for Standards 14.0 Students solve a quadratic equation by factoring or completing the square. 2.0 Students understand and use such operations and raising to a fractional power. They understand and use the rules of exponents. 7.0 Students verify that a point lies on a line, given an equation of the line. 15.0 Students apply algebraic techniques to solve rate problems, work problems, and percent mixture problems. 20.0 Students use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations. 12.0 Students simplify fractions with polynomials in the numerator and denominator by factoring both and reducing them to the lowest terms. 13.0 Students add, subtract, multiply, and divide rationals expressions and functions. Algebra 1 Curriculum Map Quarter 3 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning strategies, teacher team for immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Standards Language Pg. 437 438; 57-65 1. To multiply rational 3.0 Students solve equations and expressions inequalities involving absolute 5-16; 17-25; 35-38 477; 5-7 values. 12.0 Students simplify fractions with 16-2 10-2 Pg. 636; 19-23 polynomials in the numerator and denominator by factoring. 13.0 Students add, subtract, multiply, and divide rationals expressions and functions. Individual Test Unit 13 441; 46-60 1. To divide rational expressions 13.0 Students add, subtract, multiply, and divide rationals 17-3 10-3 Pg. 440 expressions and functions. 18-4 19-5 6-14; 29-34; 35-38 Process IT 13 459; 21-30 Pg. 443; 1-24; 25-31 450;79-89 Pg. 448; 4-9,10-15, 38-41 636; 22-25 1. To solve problems using rational equations 10-4 1. To solve problems using rational equations 10-5 18 Revised 3/12/07 13.0 Students add, subtract, multiply, and divide rationals expressions and functions. 15.0 Students apply algebraic techiques to solve rate problems, work problems, and percent mixture problems. 13.0 Students add, subtract, multiply, and divide rationals expressions and functions. 15.0 Students apply algebraic techiques to solve rate problems, work problems, and percent mixture problems. Algebra 1 Curriculum Map Quarter 3 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Language Pg. 462; 1-8 464; 13-19 1. To solve problems involving 10-6 the mixture of substances 19-6 mixture Pg. 467 7-10; 15-20; 33-36 20-7 10-7 468; 43-51 1. To divide a polynomial by a monomial 2. To divide a polynomial by a polynomial Quarter 3 Benchmark Test 19 Revised 3/12/07 strategies, teacher team for Standards 15.0 Students apply algebraic techiques to solve rate problems, work problems, and percent mixture problems. 10.0 Students add, subtract, multiply, and divide monomials and polynomials. Solve problems. 13.0 Students add, subtract, multiply, and divide rationals expressions and functions. Algebra 1 Curriculum Map Quarter 4 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning strategies, teacher team for immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Standards Language Unit Focus Radical Expressions and Equations Pg. 485 1-1 11-1 Irrational numbes 2-2 11-2 Replacement set radicand 3-3 11-3 Radical expressions 4-4 11-4 Pg. 489 490; 54-63 1-2; 5-12; 21-27; 34-36; 37-40 Pg. 493 494; 71-76 1. To tell whether a real number is rational or irrational 2. To use a table or calculator to give an approximation for an irrational number 1. To determine acceptable replacements for radicands 2. To find the square root of perfect square radicands 1. To simplify radical expressions 13-24; 27-38; 48-53 Pg. 494; 1-16 Pg. 496 497; 58-74 1. To multiply radical expressions 502; 85102 1. To divide expressions involving radicals 2. To rationalize the denominator 27-32; (to the nearest 10th) 4-12; 19-33; 42-47 Pg.501 5-5 11-5 Rationalize denominator 486; 52-68 5-12; 17-28; 41-60; 73-75 Study Team Test Unit 11* The following exercises may be delayed until after CST Pg. 505 506; 58-71 6-6 11-6 1. To add and subtract radical expressions 7-12; 15-20; 25-30; 37-40 20 Revised 3/12/07 1.1 Students use properties of numbers. 2.0 Students understand and use such operations as taking a root 1.1 Students use properties of numbers. 2.0 Students understand and use such operations as taking a root 1.1 Students use properties of numbers. 2.0 Students understand and use such operations as taking a root 1.1 Students use properties of numbers. 2.0 Students understand and use such operations as taking a root 1.1 Students use properties of numbers. 11.0 Students apply basic factoring techniques to second- and simple third-degree polynomials. 1.1 Students use properties of numbers. 2.0 Students understand and use such operations as taking a root Algebra 1 Curriculum Map Quarter 4 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Language Pg. 510 512; 32-48 1. To solve triangles using the 11-7 Pythagorean theorem 7-7 Pythagorean 1-8; 13-19 theorem Pg. 515 8-8 11-8 10 1. To solve problems using the Pythagorean theorem 1-13 Pg. 521 9-4 518; 21-32 522; 43-55 strategies, teacher team for Standards 1.1 Students use properties of numbers. 2.0 Students understand and use such operations as taking a root 1.1 Students use properties of numbers. 2.0 Students understand and use such operations as taking a root 1.1 Students use properties of numbers. 1. To solve equations involving radicals 11-9 1-18; 25-26 2. To solve problems involving radicals the solution of equations with Study Team Test Unit 11* radicals Unit Focus: Relations and Functions (The basic elements of this unit may be taught with 2PA’s) Pg. 539 Choose a 1. To determine whether a given 7.0 Students verify that a point lies Practice set relation is a function on a line 4-14; 15-18; 21-25 2. To find the value of a function 9.0 Students solve a system of two 12-1 linear equations function 16.0 Students understand the 21-1 and -2 have concepts of a relation and a function been moved to Q2 17.0 Students determine the domain of independent variables 21 Revised 3/12/07 Algebra 1 Curriculum Map Quarter 4 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Language Pg. 542 Choose a 1. To recognize a function Practice set 2. To find the domain of a 1-14; 15-16; 30-31 function 3. To graph a function 21-1 and -2 have been moved to Q2 11 12-2 Pg. 554 12 12-4 Quadratic functions 13 12-5 Variation Direct variation 14 12-6 Inverse variation Choose a Practice set To graph quadratic functions 560; 32-46 1. To give an equation of direct variation 2. To solve problems involving direct variation 1. To find an equation of inverse variation 2. To solve problems involving inverse variation 1-3; 10-13; 16-21 Pg. 559 9-18’ Chapter 11 Wrap up Pg. 563 5-20 564; 29-39 22 Revised 3/12/07 strategies, teacher team for Standards 1.1 Students use properties of numbers 3.0 Students solve equations and inequalities involving absolute values. 10.0 Students solve multistep problems 13.0 Students add, subtract, multiply, and divide rational expressions conceptually challenging problems by using these techniques. 16.0 Students understand the concepts of a relation and a function 17.0 Students determine the domain of independent variables 18.0 Students determine whether a relation defined by a graph 21.0 Students graph quadratic functions and know that their roots are the x-intercepts. 22.0 Students use the quadratic formula to determine the intersection of x-axis in zero, one, or two points. 15.0 Students apply algebraic techniques to solve rate problems, work problems and percent mixture problems. 15.0 Students apply algebraic techniques to solve rate problems, work problems and percent mixture problems. Algebra 1 Curriculum Map Quarter 4 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Language Pg. 568 569; 23-39 1. To find an equation of joint variation 2-9 2. To solve problems involving 15 12-7 Individual Test combined variation 3. To solve problems involving joint variation This should be moved to just before the CST Simplify complex expressions Pg 470-471; 5-10, 16-22 Pg 471; 3139 1 10-10 strategies, teacher team for Standards 15.0 Students apply algebraic techniques to solve rate problems, work problems and percent mixture problems. 13.0 Students add, subtract, multiply, and divide rational expressions and functions. Students solve both computationally and conceptually challenging problems by using these techniques. CPM - The Rocket Show Unit 13 (Quadratic Equations/Completing the Square) RS-10-12 1 RS-13-19 1. To select a line of best fit (trend lines) 2. To solve/graph quadratic equations 13 Line of best fit Trend lines 23 Revised 3/12/07 5.0 Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step. 7.0 Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the pointslope formula. 21.0 Students graph quadratic functions and know that their roots are the x- intercepts. Algebra 1 Curriculum Map Quarter 4 Dailey Classroom Differentiations: Visuals, academic language, realia, multiple cooperative learning strategies, teacher team for immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Standards Language 5.0 Students solve multistep RS-10-12 RS-13-19 1. To select a line of best fit problems, including word problems, (trend lines) involving linear equations and linear 2. To solve/graph quadratic inequalities in one variable and 13 equations provide justification for each step. 2 7.0 Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the pointslope formula. 19.0 Students know the quadratic RS-20-24 RS-25-30 1. To find the equation of a formula and are familiar with its parabola given the x-intercepts proof by completing the square. (roots) 20.0 Students use the quadratic formula to find the roots of a second 13 Students know the quadratic formula x-intercepts and are familiar with its proof by 3 roots completing the square. -degree vertex polynomial and to solve quadratic y-intercept equations. 21.0 Students graph quadratic functions and know that their roots are the x- intercepts. 4 13 x-intercepts roots vertex y-intercept RS- 31-33 RS-34-39 1. To find the vertex of a parabola 24 Revised 3/12/07 20.0 Students use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations. Algebra 1 Curriculum Map Quarter 4 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning strategies, teacher team for immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Standards Language 19.0 Students know the quadratic RS-40-46 RS-48-53 formula and are familiar with its Extra Credit RS-47 proof by completing the square. 20.0 Students use the quadratic formula to find the roots of a 5 13 second-degree polynomial and to solve quadratic equations. 21.0 Students graph quadratic functions and know that their roots are the x- intercepts. 19.0 Students know the quadratic RS-54-58 RS-60-65 1. To solve quadratic equations formula and are familiar with its Extra Credit 59 by completing the square proof by completing the square. 6 13 20.0 Students use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations. 19.0 Students know the quadratic RS-66-70 RS-71-76 1. To solve quadratic equations formula and are familiar with its (use algebra tiles) proof by completing the square. 20.0 Students use the quadratic formula to find the roots of a 7 13 second-degree polynomial and to solve quadratic equations. 21.0 Students graph quadratic functions and know that their roots are the x- intercepts. 25 Revised 3/12/07 Algebra 1 Curriculum Map Quarter 4 Dailey Classroom Differentiations: Visuals, academic language, relalia, multiple cooperative learning strategies, teacher team for immediate intervention including RSP teacher assistance. Unit/Lesson Day Academic Class Work Homework Objectives Standards Language 5.0 Students solve multistep RS-77 RS-78-84 1. To solve problems using the problems, including word problems, quadratic equation involving linear equations and linear inequalities in one variable and provide justification for each step 23.0 Students apply quadratic 8 13 equations to physical problems, such as the motion of an object under the force of gravity. 21.0 Students graph quadratic functions and know that their roots are the x- intercepts. 19.0 Students know the quadratic RS-85-89 RS-90-95 1. To solve problems using the formula and are familiar with its quadratic equation proof by completing the square. 20.0 Students use the quadratic formula to find the roots of a 9 13 second-degree polynomial and to solve quadratic equations. 21.0 Students graph quadratic functions and know that their roots are the x- intercepts. 26 Revised 3/12/07