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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 2 1 12 Navigator/Springboard Activities 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 Variable, Simplify, Evaluate, Substitution Principle, Grouping Symbol MA.D.2.4.2 MA.A.1.4.4 MA.A.1.4.3 MA.A.1.4.3 MA.A.3.4.1 Equation, Open Sentence, Domain, Solution, Solve, Formula 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 Five Step Plan, Charts Extensions/Resources DW Test Item #s Order of Operations-Grouping Symbols pg. T78-79 OOOPS! Order of Operations and the TI graphing calculator Number Sense Evaluating Simple Expressions Writing Equations pg. T78 Writing expressions for the student’s age in terms of x pg. T79. Rewriting Equations in terms of a specified variable pg. T79-T80. Students write their own word problems, include solution. Integers Fractions Time Line Real Numbers Number Sets Number Sets First Semester Algebra Basics 1045 1055 Essential Questions for this Unit: Algebra 1 Honors – Middle School Course Number: 12003208 1. How are the properties of real numbers used to simplify numerical and algebraic expressions? Algebra Structure and Method 2. Materials: How do the four operations and properties relate to• Book mental1arithmetic techniques? Adoption Date: 2004 - 2005 Days Chapter 2 – WorkingTopic with Real Numbers Textbook Section 1 Basic Assumptions & Addition on a 2-1 & 2-2 Number Line Benchmark Vocabulary 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 Closure, Commutative, Associative, Term, Factor, Reflexive, Symmetric, Transitive 1 Rules for Addition & Subtracting Real Numbers 2-3 & 2-4 2 The Distributive Property & Rules for Multiplication 2-5 & 2-6 2 Problem Solving: Consecutive Integers 2-7 MA.A.3.4.1 MA.D.2.4.2 Consecutive, Odd, Even 2 The Reciprocal of a Number & Dividing Real Numbers 2-8 & 2-9 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 1 TI – Navigator & Spring Board Activities FCAT, Chapter, & Spiral Review Chapter Test Total days 2 1 12 Identity Property, Additive Inverse, Property of the Opposite Sum Multiplicative Property, Property of Opposites in Products Extensions/Resources DW Test Item #s Number lines gain/loss relate to a football game. Real Number Properties Complete the square activity on pg. T85 Integers Mental Multiplication Multiplication of Integers-Repeated Addition and Subtraction 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. Discovering Integer Rules (Multiplying/Dividing) Dividing Fractions Rational Numbers Florida FCAT Practice Exams - Grades 6-8 Math First Semester Algebra Basics 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 Textbook Section 3-1 & 3-2 Benchmark Vocabulary 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 Empty Set, Null Set, Identity 2 Transforming Equations: Addition, Subtraction, Multiplication, & Division 3 Using Several Transformations & Using Equations to Solve Problems 3-3 & 3-4 2 Equations with the Variable on Both Sides 3-5 MA.A.3.4.2 MA.D.2.4.2 2 2 Problem Solving Using Charts Cost, Income, and Value Problems 3-6 3-7 MA.D.2.4.2 MA.D.2.4.2 0 1 3-8 2 Proof In Algebra TI – Navigator & Spring Board Activities FCAT, Chapter, & Spiral Reviews 1 15 Chapter Test Total days Inverse Operations Extensions/Resources DW Test Item #s One Step Equations and Inequalities Solving Equations with more than one operation Solving Equations Quiz Linear Equations: Using Algebra Solving Equations with Solve It Solving Equations Project: Students create three word problems using the formulas in this lesson; they must solve each one, and explain the solution. Buying a Car Math TODAY for TINavigator System - College Costs Surge Florida FCAT Practice Exams - Grades 6-8 Math 1050 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 Textbook Section 4-1 & 4-2 Benchmark Vocabulary 3 Exponents & Adding and Subtracting Polynomials MA.A.1.4.4 MA.A.2.4.2 MA.A.3.4.1 MA.A.3.4.3 Power, Base, Exponent, Exponential Form, Monomial, Polynomial, Binomial, Trinomial, Coefficient, Degree, Order of Operations 3 Multiplying Monomials & Powers of Monomials 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 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 3 Area Problems & Problems without Solution 4-9 & 4-10 MA.B.3.4.1 MA.A.3.4.1 Extensions/Resources Expressions – changing values using grouping symbols pg. T95 Multiplying and Dividing Monomials Multiplying Monomials First Degree Monomials and Binomials 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 FOIL Review Multiplying Binomials Multiplying Binomials Using the Y= menu to teach Binomial Multiplication Uniform Motion Students create their own word problem, sketch, & solution for each type of motion problem presented in this lesson. Match the Graph Can You Walk 3 Miles Per Hour? Students create their own word problem, sketch, & solution for the problems in this lesson 1069 Areas in Coordinate Geometry. 1 2 TI – Navigator & Spring Board Activities FCAT, Chapter, & Spiral Reviews 1 17 Chapter Test Total days Floor Plan Project Florida FCAT Practice Exams - Grades 6-8 Math 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 Vocabulary Factor, prime number, prime factorization, greatest common factor 1 2 Dividing Monomials Monomials Factors of Polynomials 5-2 5-3 MA.D.1.4.1 MA.D.1.4.1 Divisible, greatest monomial factor 1 Multiplying Monomials Mentally 5-4 MA.A.3.4.2 MA.D.1.4.1 Quadratic term, linear term, quadratic polynomial 2 Difference of Two Squares 5-5 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 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 Extensions/Resources Perfect square trinomial Irreducible polynomial, prime polynomial DW Test Item #s Sieve of Eratosthenes up to 200 for good reference chart for chapter. Logic Ladder Factors Greatest Common Factor Focus on factoring out the Greatest Common Monomial Factor, especially, where one of the terms is the GCMF. Polynomial Operations Text pg. 239 Sums & Differences of Cubes Multiplying/Factoring Polynomials 1078 1053 Extension pg. T103 1070 More difficult factoring Factor completely Converse, cubic, standard form of a polynomial equation Factoring and Solving Quadratic Binomials FACTORED POLYNOMIALS Video Tutorial - Using the Graph Screen to Factor Quadratics Problems Solving in groups, 1084 MA.D.1.4.1 1 2 1 27 TI – Navigator & Spring Board Activities FCAT, Chapter, & Spiral Reviews 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 each group member has a specific responsibility – pg. T106