1. 1st Quarter Plan: Math 8 (Sept 7-Nove 8)General topic coveredDetail/ObjectivesProject/AssessmentPSSA Anchor/Eligible ContentNCTM Standards Addressed7-SepWelcomeCourse Overview; Classroom Routines/Responsibilities; Why Should You Learn Math? PPT; Learning InventoryIntro Math Puzzle; PPT presentation; Discussion on teacher/parent/class/student responsibilities; Learning Inventory8-SepChapter 1 PretestExpressions, Equations, & FunctionsAdminister Chapter 1 Pretest; Pass out Textbooks; Math Square Puzzle; Understand ways of representing numbers; complute fluently; understand how operations are related; represent situations using algebraic symbols; use representations to solve problems; represent situations using algebraic symbols; solve problems in math and other contexts; apply/adapt strategies to solve problems; understand functions; use models to understand relationships; understand relations9-SepChapter 1 Pretest ResultsExpressions, Equations, & Functions / Problem SolvingDiscus pretest results & first unit plan; BBC Problem Solving Activity (www.nea.org/bbc)10-Sep1.1 Evaluate ExpressionsEvaluate Algebraic Expressions & Use ExponentsPSSA Prep ? OpenerM8.D.2 Represent &/or analyze mathematical situations using numbers, symbols, words, tables &/or graphs; M8.D.2.1.2 use substitution to check the accuracy of a given value for an equation or inequality (simple inequalities with one variable); M8.D.2.1.3 Determine the value of an algebraic expression by simplifying &/or substituting a number for the variableUnderstand ways of representing Numbers; complute fluently.13-Sep1.2 Apply Order of OperationsUse the order of operations to evaluate expressionsM8.A.2 Understand the meanings of operations, use operations & understand how they relate to each other ; M8.A.2.1 Complete calculations by applying the order of operations; M8.A.2.1.1 Simplify numeric, expressions involving integers, using the order of operations. (May include all types of grouping symbols. No combining negatives with exponents or compound exponents)Understand how operations are related; compute fluently14-Sep1.2 Apply Order of OperationsUse the order of operations to evaulate expressionsOver and Under ActivityM8.A.2; M8.A.2.1; M8.A.2.1.1Understand how operations are related; compute fluently15-Sep1.3 Write ExpressionsTranslate verbal phrases into expressionsM8.D.2 Represent &/or analyze mathematical situations using numbers, symbols, words, tables, &/or graphs; M.8.D.2.2.1 Match a written situation to its numeric &/or algebraic expression, equation or inequality (up to 2 variables in equations or expressions – 1 variable with inequalities)Represent situations using algebraic symbols; use representations to solve problems16-Sep1.3 Write ExpressionsTranslate verbal phrases into expressionsOperation Computation ActivityM8.D.2; M.8.D.2.2.1 Represent situations using algebraic symbols; use representations to solve problems17-Sep1.1-1.3 Review20-Sep1.1-1.3 QuizPSSA Prep ? Opener21-Sep1.4 Write Equations & InequalitiesTranslate verbal sentences into equations & inequalitiesM8.D.2; M.8.D.2.2 Write &/or solve an equation for a given problem situation (one variable only)Represent situations using algebraic symbols; solve problems in math & other contexts22-Sep1.5 Use a Problem Solving PlanUse a problem solving plan to solve problemsM8.D.2; M8.D.2.2 Create &/or interpret expressions, equations or inequalities that model problem situationsSolve problems in math & other contexts; Apply/adapt strategies to solve problems23-Sep1.5 Use a Problem Solving Plan & 1.4-1.5 ReviewUse a problem solving plan to solve problemsFormula focusM8.D.2; M8.D.2.2Solve problems in math & other contexts; Apply/adapt strategies to solve problems24-Sep1.4-1.5 Quiz27-Sep1.6 Represent Functions as Rules and TablesRepresent functions as rules & as tablesPSSA Prep ? Opener; domain/range; function/not a functionM8.D.1 Demonstrate an understanding of patterns, relations, & functions; M8.D.1.1 Analyze, extend or develop descriptions of patterns or functions; M8.D.1.1.3 Determine the rule of a function (given elements in an input-output table, chart or list – limit to linear functions)Understand functions; Use models to understand relationships28-Sep1.6 Represent Functions as Rules and TablesRepresent functions as rules & as tablesmake a function table; functions with problem solving; write function rulesM8.D.1; M8.D.1.1; M8.D.1.1.3Understand functions; Use models to understand relationships29-Sep1.7 Scatter Plots & Functions ActivityDetermine whether a graph represents a functionp42; Students in groups of 6-8M8.D.4 Describe or use models to represent quantitative relationships; M8.D.4.1 Represent relationships with tables or graphs on the coordinate plane; M8.D.4.1.2 Match the graph of a linear function to its x/y table (integers only)Understand functions; Use models to understand relationships30-Sep1.7 Represent Functions as GraphsRepresent functions as graphsM8.D.4.; M8.D.4.1; M8.D.4.1.1 Graph a linear function based on a x/y table (integers only); M8.D.4.1.2Understand functions; Use models to understand relationships1-Oct1.6-1.7 Review4-Oct1.6-1.7 QuizPSSA Prep ? Opener5-OctChapter 1 Review6-OctChapter 1 Test7-OctChapter 2 PretestProperties of Real Numbers8-Oct2.1 Use Integers & Rational NumbersGraph & compare positive & negative numbersUnderstand relationships among numbers; Understand number systems12-Oct2.1 Use Integers & Rational NumbersGraph & compare positive & negative numbersPSSA Prep ? OpenerUnderstand relationships among numbers; Understand number systems13-Oct2.2 Add Real NumbersAdd positive & negative numbersM8.A.3 Compute accurately & fluently & make reasonable estimates; M8.A.3.3 Compute &/or explain operations with integers, fractions &/or decimals; M8.A.3.3.1 Add, subtract, multiply, or divide integers, fractions &/or decimals with & without a calculatorUnderstand meanings of operations; compute fluently14-Oct2.3 Subtract Real NumbersSubtract Real numbersM8.A.3; M8.A.3.3; M8.A.3.3.1Understand meanings of operations; Apply math in context outside mathematics15-Oct2.1-2.3 Review18-Oct2.1-2.3 QuizPSSA Prep ? Opener19-Oct2.4 Multiply Real NumbersMultiply real numbersM8.A.3; M8.A.3.3; M8.A.3.3.1Understand meanings of operations; represent situations using algebraic symbols20-Oct2.5 Apply the Distributive PropertyApply the distributive propertyuse the distributive property; identify parts of an expressionUnderstand how operations are related; represent situations using algebraic symbols21-Oct2.5 Apply the Distributive PropertyApply the distributive propertyuse the distributive property & simplify expressionsUnderstand how operations are related; represent situations using algebraic symbols22-Oct2.4-2.5 Review25-Oct2.4-2.5 QuizPSSA Prep ? Opener26-Oct2.6 Divide Real Numbersdivide real numbersM8.A.3; M8.A.3.3; M8.A.3.3.1Understand meanings of operations; understand how operations are related27-Oct2.7 Find Square Roots & Compare Real Numbersfind square roots & compare real numberscalculate square roots with & without a calculator; problem solveM8.A.1 Demonstrate an understanding of numbers, ways of representing numbers, relationships among numbers & number systems; M8.A.1.1.2 Find the square or the cube of a whole number (single digit) &/or the square root of a perfect square (without a calculator) & explain the relationship between the two (i.e. square & square root)Understand relationships among numbers; Understand number systems28-Oct2.7 Find Square Roots & Compare Real Numbersfind square roots & compare real numbersestimate square roots; compare & order square roots; identify rational & irrational numbersM8.A.1; M8.A.1.1.2Understand relationships among numbers; Understand number systems29-Oct2.7 Use Logical Reasoning Extentsion ActivityUse inductive & deductive reasoningp117. Revisit 1st Day Puzzle & resultsMake mathematical conjectures; investigate mathematical conjectures1-Nov2.6-2.7 Review2-Nov2.6-2.7 Quiz3-NovChapter 2 Review4-NovChapter 2 Test5-NovChapter 3 PretestSolving Linear Equations8-Nov3.1 Solve One-Step Equationssolve one-step equations, using algebraM8.D.2; M8.D.2.1.1 Solve one- or two- step equations & inequalities (should not include absolute values – one variable only); M8.D.2.1.2Understand meanings of operations; undestand how operations are related<br />