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Algebra 1 Honors – Middle School Course Number: 12003208 Materials: Algebra Structure and Method • Book 1 Adoption Date: 2004 - 2005 Chapter 1- Introduction to Algebra Essential Questions for this Unit: 1. What methods are used to simplify and translate expressions? 2. What methods are used to solve basic equations? 3. How is the “problem solving method” used to evaluate word problems? Days Topic Textbook Section 1-1 & 1-2 2 Variables & Grouping Symbols 2 Equations & Translating Words into Symbols 1-3 & 1-4 3 Translating Sentences into Equations, Translating Problems into Equations, & A Problem Solving Plan 1-5, 1-6, & 1-7 1 Number Lines & Opposites and Absolute Values 1-8 & 1-9 1 Navigator/Springboard Activities 2 1 12 FCAT Review & Chapter Review Chapter Test Total Days Benchmark Vocabulary MA.B.1.4.1 MA.D.1.4.1 MA.A.1.4.3 MA.D.2.4.2 MA.A.1.4.4 MA.A.1.4.3 MA.A.1.4.3 Variable, Simplify, Evaluate, Substitution Principle, Grouping Symbol Equation, Open Sentence, Domain, Solution, Solve, Formula MA.A.3.4.1 Five Step Plan, Charts MA.A.1.4.2 MA.C.3.4.2 MA.A.1.4.4 MA.A.1.4.1 MA.A.2.4.4 Opposite, Absolute Value, Integers, Whole Numbers, Real Number Extensions/Resources Riverdeep Extensions Order of Operations-Grouping Symbols pg. T78-79 Writing Equations pg. T78 Writing expressions for the student’s age in terms of x pg. T79. Riverdeep Activity Rewriting Equations in terms of a specified variable pg. T79-T80. Students write their own word problems, include solution. Riverdeep Activity DW Test Item #s 1045 1055 Algebra 1 Honors – Middle School Course Number: 12003208 Materials: Algebra Structure and Method • Book 1 Adoption Date: 2004 - 2005 Chapter 2 – Working with Real Numbers Essential Questions for this Unit: 1. How are the properties of real numbers used to simplify numerical and algebraic expressions? 2. How do the four operations and properties relate to mental arithmetic techniques? Days Topic Textbook Section 2-1 & 2-2 1 Basic Assumptions & Addition on a Number Line 1 Rules for Addition & Subtracting Real Numbers 2-3 & 2-4 2 The Distributive Property & Rules for Multiplication Problem Solving: Consecutive Integers 2-5 & 2-6 2 The Reciprocal of a Number & Dividing Real Numbers 2-8 & 2-9 1 TI – Navigator & Spring Board Activities FCAT, Chapter, & Spiral Review Chapter Test Total days 2 2 1 12 2-7 Benchmark Vocabulary Extensions/Resources MA.A.3.4.2 MA.A.3.4.2 MA.A.3.4.3 MA.A.3.4.3 MA.A.1.4.3 MA.A.3.4.1 MA.A.3.4.3 MA.A.3.4.2 MA.A.3.4.1 MA.A.3.4.1 MA.D.2.4.2 Closure, Commutative, Associative, Term, Factor, Reflexive, Symmetric, Transitive Number lines gain/loss relate to a football game. Identity Property, Additive Inverse, Property of the Opposite Sum Complete the square activity on pg. T85 MA.A.1.4.4 MA.A.1.4.2 MA.A.3.4.1 Reciprocal (Multiplicative Inverses), Property of the Reciprocal of a Product Multiplicative Property, Property of Opposites in Products Consecutive, Odd, Even Pass Game-problems on index cards, students solve in pairs and pass the card. The team with the most correct (showing work) earns a reward. SWAT Game based on Properties DW Test Item #s 1046 1059 1061 Algebra 1 Honors – Middle School Course Number: 12003208 Materials: Algebra Structure and Method • Book 1 Adoption Date: 2004 - 2005 Chapter 3 – Solving Equations and Problems Essential Questions for this Unit: 1. How do the methods of solving equations utilize the properties of equality? 2. How do charts help solve word problems? Days Topic 2 Transforming Equations: Addition, Subtraction, Multiplication, & Division 3 Using Several Transformations & Using Equations to Solve Problems Equations with the Variable on Both Sides Problem Solving Using Charts Cost, Income, and Value Problems 2 2 2 0 1 2 1 15 Proof In Algebra TI – Navigator & Spring Board Activities FCAT, Chapter, & Spiral Reviews Chapter Test Total days Textbook Section 3-1 & 3-2 3-3 & 3-4 3-5 3-6 3-7 3-8 Benchmark Vocabulary Extensions/Resources MA.A.3.4.1 MA.D.2.4.2 MA.B.1.4.3 MA.C.2.4.1 MA.D.2.4.2 MA.D.2.4.2 Equivalent, Transformation, Addition, Subtraction, Multiplication and Division Property of Equality Riverdeep Activity Inverse Operations Riverdeep Activity MA.A.3.4.2 MA.D.2.4.2 MA.D.2.4.2 MA.D.2.4.2 Empty Set, Null Set, Identity DW Test Item #s 1050 Project: Students create three word problems using the formulas in this lesson; they must solve each one, and explain the solution. Algebra 1 Honors – Middle School Course Number: 12003208 Materials: Algebra Structure and Method • Book 1 Adoption Date: 2004 - 2005 Chapter 4 – Polynomials Essential Questions for this Unit: 1. How do the order of operations and the exponent rules affect the outcome of numerical or algebraic expressions? 2. How are formulas applied or transformed to aide in finding solutions word problems pertaining to real life situations? Days Topic 3 Exponents & Adding and Subtracting Polynomials 3 Multiplying Monomials & Powers of Monomials Textbook Section 4-1 & 4-2 4-3 & 4-4 2 Multiplying Polynomials by Monomials & Multiplying Polynomials 4-5 & 4-6 2 Transforming Formulas & Rate Distance and Time Problems 4-7 & 4-8 3 Area Problems & Problems without Solution 4-9 & 4-10 1 TI – Navigator & Spring Board Activities FCAT, Chapter, & Spiral Reviews Chapter Test Total days 2 1 17 Benchmark Vocabulary MA.A.1.4.4 MA.A.2.4.2 MA.A.3.4.1 MA.A.3.4.3 MA.A.3.4.1 MA.A.3.4.2 MA.A.3.4.3 MA.A.3.4.1 MA.A.3.4.2 MA.A.3.4.3 MA.A.3.4.1 MA.A.3.4.2 MA.A.3.4.3 MA.A.3.4.1 MA.A.3.4.2 MA.A.3.4.3 MA.B.1.4.1 MA.D.1.4.1 MA.B.1.4.2 MA.B.2.4.2 Power, Base, Exponent, Exponential Form, Monomial, Polynomial, Binomial, Trinomial, Coefficient, Degree, Order of Operations MA.B.3.4.1 MA.A.3.4.1 Extensions/Resources Expressions – changing values using grouping symbols pg. T95 Riverdeep Activity Find the volume of the figures on pg. 154 using the area and the height of each one. Exponent Challenge Problems pg. T97 DW Test Item #s 1048 1051 1057 Riverdeep Activity Uniform Motion Students create their own word problem, sketch, & solution for each type of motion problem presented in this lesson. Students create their own word problem, sketch, & solution for the problems in this lesson. Floor Plan Project 1069 Algebra 1 Honors – Middle School Course Number: 12003208 Materials: Algebra Structure and Method • Book 1 Adoption Date: 2004 - 2005 Chapter 5 – Factoring Polynomials Essential Questions for this Unit: 1. What are the methods used to factor polynomials? Days Topic Textbook Section 1 Factoring Integers Dividing 5-1 Monomials Benchmark MA.D.1.4.1 1 2 Dividing Monomials Monomials Factors of Polynomials 5-2 5-3 MA.D.1.4.1 MA.D.1.4.1 1 Multiplying Monomials Mentally 5-4 2 Difference of Two Squares 5-5 MA.A.3.4.2 MA.D.1.4.1 MA.A.3.4.2 MA.D.1.4.1 2 2 5-6 5-7 2 Squares of Monomials Factoring Pattern for x² + bx + c, c is Positive Factoring Pattern for x² + bx + c, c is Negative Factoring Pattern for ax² + bx + c 2 Factoring by Grouping 5-10 2 Using Several Methods of Grouping 5-11 2 Solving Equations by Factoring 5-12 2 Using Factoring to Solve Problems 5-13 1 TI – Navigator & Spring Board Activities FCAT, Chapter, & Spiral Reviews 2 2 5-8 5-9 MA.A.3.4.2 MA.D.1.4.1 MA.A.3.4.2 MA.D.1.4.1 MA.A.3.4.2 MA.D.1.4.1 MA.A.3.4.2 MA.D.1.4.1 MA.A.3.4.2 MA.D.1.4.1 MA.A.3.4.2 MA.D.1.4.1 MA.A.3.4.2 MA.D.1.4.1 Vocabulary Extensions/Resources Factor, prime number, prime factorization, greatest common factor Sieve of Eratosthenes up to 200 for good reference chart for chapter. Riverdeep Activity Divisible, greatest monomial factor Quadratic term, linear term, quadratic polynomial Focus on factoring out the Greatest Common Monomial Factor, especially, where one of the terms is the GCMF. Riverdeep Activity Text pg. 239 Sums & Differences of Cubes Perfect square trinomial Irreducible polynomial, prime polynomial DW Test Item #s 1078 1053 Extension pg. T103 Riverdeep Activity 1070 Riverdeep Activity Factor completely Converse, cubic, standard form of a polynomial equation 1084 Problems Solving in groups, each group member has a specific responsibility – pg. T106 1 27 Chapter Test Total days Semester 1: Course – Content Instruction Flex-Days for Review and/or FCAT Preparation Springboard/Navigator Activities Midterm-Exam Preparation & Administration Total Mid-Term Exam: 2 Days Prep & 1 Day Administration Days 65 10 5 3 86 Algebra 1 Honors – Middle School Course Number: 12003208 Materials: Algebra Structure and Method • Book 1 Adoption Date: 2004 - 2005 Chapter 6 – Fractions Essential Questions: 1. What methods are used to work with algebraic fractions? 2. How do you simplify algebraic fractions? 3. How do you divide polynomials using long division? Days 1 Simplifying Fractions Textbook Section 6 -1 1 Multiplying Fractions 6-2 1 2 Dividing Fractions Least Common Denominator 6-3 6-4 2 Adding & Subtracting Fractions 6-5 2 2 1 Mixed Expressions Polynomial Long Division TI – Navigator & Spring Board Activities FCAT, Chapter, & Spiral Reviews Chapter Test Total days 6-6 6-7 2 1 16 Topic Benchmark MAA.3.4.2 MA.A.3.4.3 MA.D.1.4.1 MAA.3.4.2 MA.D.1.4.1 MA.A.3.4.3 MA.A.3.4.2 MA.A.3.4.3 MA.D.1.4.1 MA.A.3.4.2 MA.A.3.4.3 MA.D.1.4.1 Vocabulary Extensions/Resources Emphasize: set restrictions using original denominator Riverdeep Activity Riverdeep Activity DW Test Item #s 1076 1052 Riverdeep Activity Least Common Denominator Riverdeep Activity 1063 Algebra 1 Honors – Middle School Course Number: 12003208 Materials: Algebra Structure and Method • Book 1 Adoption Date: 2004 - 2005 Chapter 7 – Applying Fractions Essential Questions: 1. How are proportions used to solve problems? 2. Why is it helpful to eliminate fractional coefficients when solving equations? 3. How does understanding the concept of percentages assist in estimation? Days Topic 1 Ratios, Proportions 2 2 2 Fractions with Fractional Coefficient Fractional Equations Percents 1 0 0 1 1 1 Percent Problems Mixture Problems Work Problems Negative Exponents Scientific Notation TI – Navigator & Spring Board Activities FCAT, Chapter, & Spiral Reviews Chapter Test Total days 2 1 14 Textbook Section 7 -1 & 7-2 Benchmark Vocabulary Ratio, Proportion, Means, Extremes 7- 3 7- 4 7- 5 7- 6 7-7 7–8 7–9 7 - 10 Extensions/Resources Pg. 291 Word problems in groups. Riverdeep Activity Business Application pg. T114 Percent Riverdeep Activity DW Test Item #s Algebra 1 Honors – Middle School Course Number: 12003208 Materials: Algebra Structure and Method • Book 1 Adoption Date: 2004 - 2005 Chapter 8 – Introduction to Functions Essential Questions: 1. How are linear and quadratic functions different? 2. What is slope? 3. How are two variable functions written and graphed? Days 1 1 Topic Equations in Two Variables Points, Lines, and Their Graphs Textbook Section 8–1 8-2 Benchmark Vocabulary MA.D.1.4.1 MAD.1.4.1 MA.A.1.4.3 Ordered pair x-axis, y-axis, Abscissa, Ordinate, Coordinate Plane, Quadrants Extensions/Resources 1 Slope of a Line 8- 3 1 The Slope-Intercept Form of a Linear Equation 8–4 1 0 8–5 8–6 1 Determining an Equation of a Line Functions Defined by Tables and Graphs Functions Defined by Equations 1 Linear and Quadratic Functions 8–8 0 0 3 Direct Variation Indirect Variation TI – Navigator & Spring Board Activities FCAT, Chapter, & Spiral Reviews Chapter Test Total days 8-9 8 - 10 2 1 13 8–7 MAC.3.4.2 MA.D.1.4.1 MA.C.3.4.2 MAC.3.4.2 MA.D.1.4.1 MA.C.3.4.2 MA.D.1.4.1 MA.D.1.4.1 MA.C.2.4.1 MA.D.1.4.1 MA.D.1.4.1 MA.C.2.4.1 MA.D.1.4.1 Slope, Collinear y-intercept, slope-intercept form, parallel Emphasis on differences between slope-intercept form and standard form. Extension Activity on pg. T118 Riverdeep Activity 1072 Perpendicular Lines pg. 370 Riverdeep Activity 1913 1908 x-intercept Function, Domain, Range 1080 Function Notation, Function Value Parabola, Minimum Point, Maximum Point, Axis of Symmetry, Quadratic Function, Vertex Direct Variation, Constant of Proportionality Inverse Variation DW Test Item #s 1066 CBL – Bouncing Basketballs Riverdeep Activity Algebra 1 Honors – Middle School Course Number: 12003208 Materials: Algebra Structure and Method • Book 1 Adoption Date: 2004 - 2005 Chapter 9 – Systems of Linear Equations Essential Questions: 1. What methods are used to solve systems of equations? Days Topic Textbook Section 9–1 Benchmark Vocabulary MA.D.2.4.2 System of Equations, Solution of a System, Intersection Point, System of Simultaneous Equations MA.A.3.4.2 MA.D.2.4.2 MA.A.3.4.2 MA.D.2.4.2 MA.D.2.4.2 MA.D.2.4.2 1 The Graphing Method 1 The Substitution Method 9-2 1 Solving Problems with Two Variables 9-3 1 1 The Addition-or-Subtraction Method Multiplication with Addition-orSubtraction Method Wind and Water Current Problems Puzzle Problems TI – Navigator & Spring Board Activities FCAT, Chapter, & Spiral Reviews Chapter Test Total days 9–4 9–5 0 1 3 2 1 12 9–6 9–7 Extensions/Resources CBL – Meet you in the Middle Riverdeep Activity Riverdeep Activity DW Test Item #s 1915 1058 1068 Algebra 1 Honors – Middle School Course Number: 12003208 Materials: Algebra Structure and Method • Book 1 Adoption Date: 2004 - 2005 Chapter 10 – Inequalities Essential Questions: 1. What are the methods used to solve inequalities? 2. How do you find the solution area for an inequality or for a system of inequalities? Days Topic Textbook Section 10-1 1 Order of Real Numbers 1 Solving Inequalities 10-2 1 Solving Problems Involving Inequalities Solving Combined Inequalities Absolute Value in Open Sentences Absolute Value of Products in Open Sentences Graphing Linear Inequalities Systems of Linear Inequalities TI – Navigator & Spring Board Activities FCAT, Chapter, & Spiral Reviews Chapter Test Total days 10-3 1 0 0 1 1 2 2 1 11 Benchmark Vocabulary MA.A.1.4.2 MA.A.2.4.1 MA.A.3.4.1 MA.A.1.4.2 MA.A.2.4.1 MA.A.3.4.1 Inequalities, Graph of an Inequality, Equivalent Inequalities Extensions/Resources 1056 10-4 10-5 10-6 MA.A.3.4.1 10-7 10 – 8 MA.D.2.4.2 MA.D.2.4.2 DW Test Item #s Writing/Describing Inequalities pg. T128. Conjunction, Disjunction 1064 Riverdeep Activity Riverdeep Activity Open Half-Plane, Boundary, Closed Half-Plane Riverdeep Activity Mapping Activity Algebra 1 Honors – Middle School Course Number: 12003208 Materials: Algebra Structure and Method • Book 1 Adoption Date: 2004 - 2005 Chapter 11 – Rational and Irrational Numbers Essential Questions: 1. What are rational and irrational numbers? 2. How do you simplify radical expressions? 3. How and when do you apply the Pythagorean Theorem? 4. What methods are used to solve radical equations? Days 2 2 Topic Properties of Rational Numbers Decimal Forms of Rational Numbers Rational Square Roots Irrational Square Roots Textbook Section 11-1 & 11-2 11-3 & 11-4 1 Square Roots of Variable Expressions 11-5 1 The Pythagorean Theorem 11-6 Benchmark Vocabulary Extensions/Resources MA.A.1.4.1 MA.A.2.4.2 MA.A.1.4.2 MA.B.1.4.2 MA.C.3.4.1 MA.C.3.4.1 MA.B.1.4.2 MA.C.3.4.1 MA.B.1.4.2 Rational number Terminating number, repeating decimal Irrational numbers, Pythagorean theorem Rationalizing the denominator 1 Multiplying, Dividing, and Simplifying Radicals 11-7 1 Adding and Subtracting Radicals 11-8 0 Multiplication of Binomials Containing Radicals Simple Radical Equations TI – Navigator & Spring Board Activities FCAT, Chapter, & Spiral Reviews Chapter Test Total days 11-9 1 2 2 1 14 11-10 MA.A.1.4.1 MA.A.2.4.2 MA.A.3.4.3 MA.A.3.4.1 MA.A.1.4.1 MA.A.2.4.2 MA.A.3.4.3 MA.A.3.4.1 Rational Numbers & Value pg. T131 Pass Game – Dec.↔ Frac., Riverdeep Activity Radical equation 1071 Add Special Right Triangles 45°-45°, 30°-60°-90° Distance Formula: Pg. 535 & 536. Midpoint Formula Riverdeep Activity Divisibility Tests pg. 543 Riverdeep Activity Conjugate MA.B.3.4.1. DW Test Item #s Riverdeep Activity 1075 Algebra 1 Honors – Middle School Course Number: 12003208 Materials: Algebra Structure and Method • Book 1 Adoption Date: 2004 - 2005 Chapter 12 – Quadratic Functions Essential Questions: 1. How do you solve a quadratic equations using the quadratic formula? 2. How are graphs of quadratic functions related to solutions of quadratic equations by means of the discriminant? Days 2 0 1 Topic Quadratic Equations with Perfect Squares Completing the Square The Quadratic Formula Textbook Section 12-1 12-2 12-3 1 Graphs of Quadratic Equations: The Discriminant 12-4 0 Methods of Solution 12-5 0 Solving Problems Involving Quadratic Equations Direct and Inverse Variation Involving Squares Joint and Combined Variation TI – Navigator & Spring Board Activities FCAT, Chapter, & Spiral Reviews Chapter Test Total days 12-6 0 0 2 2 1 9 12-7 12-8 Benchmark Vocabulary MA.D.1.4.1 MA.D.1.4.2 Perfect Square MA.A.3.4.2 MA.A.3.4.2 MA.D.1.4.1 MA.D.1.4.1 MA.D.1.4.2 Quadratic Formula Discriminant Extensions/Resources Riverdeep Activity Quadratic Inequalities pg. 581 Riverdeep Activity MA.A.3.4.3 MA.D.1.4.1 Riverdeep Activity DW Test Item #s 1079 Semester 2: Course – Content Instruction Flex-Days for Review and/or FCAT Preparation Springboard/Navigator Activities Final-Exam Preparation & Administration Total Final-Term Exam: 4 Days Prep & 1 Day Administration Days 61 14 14 5 94