MR.Wu's Class Website



Integrated Math 2 | Final Exam Outline ReviewName:_______________________ Date:______________________Instructions: With finals in the near future, this review outline will help support and prepare you for the Integrated Math 2 mock final and the final examination for semester 1. During the course of Semester 1, we have covered the following topics:ProbabilityQuadratics FunctionsStructure of ExpressionsQuadratics EquationsYou have learned a tremendous amount of information, and not all topics will be covered. This outline is here to guide you on what you need to do in order to pass the examinations when you return from break. Word of wisdom: attempt to solve every problem. If you cannot do one, at least you have tried. It is better to have tried than to not have tried. Word of wisdom #2: questions on this review might reappear on your ics and Standards Covered:ProbabilityQuadratic FunctionsStructure of ExpressionsQuadratic EquationsEstimating conditional probability and interpreting the meaning of set data.Examining conditional probability using multiple representationUsing sample to estimate probabilitiesCreating Venn diagrams using data while examining addition rules of probability.Examining independence of events using two-way tables.Using data in various representations to determine independence. Introduction to quadratics using representations to discover new types of pattern and change.Solidification of quadratic functions in multiple representations.Examining the difference between linear and quadratic rate of change.Focus on maximum/minimum points as well as domain/range.Examining quadratic functions on various sized intervals to determine rate of paring quadratic to exponential functions to distinguish the rate of change.Incorporating quadratics with the understanding of linear and exponential functions.Connecting transformations to quadratic functions and parabolas.Working with vertex form of a quadratic, connecting the components to transformations.Visual and algebraic approaches to completing the square.Connecting the factored and expanded form of a quadratic.Focus on the vertex and intercepts for quadratics.Building fluency in rewriting and connecting different forms of a quadratic.Examining values of continuous exponential functions between integers.Connecting radicals and rules of exponents to create meaning for rational exponents.Verifying that properties of exponents hold true for rational exponents.Fluent in rewriting between exponential and radical forms of expressions.Developing quadratic formula as a way for finding x-intercepts and roots of quadratics.Examining how different forms of a quadratic expression can facilitate the solving of quadratic equations.Solving quadratic equation.Surfacing the need for complex numbers.Extending the real and complex numbers as solutions for some quadratics.Examining the arithmetic of real and complex numbers.ProbabilityQuestionsVocabulary:IndependenceDependenceEventProbabilityUnionIntersectionBelow is a two-way table depicting two states and their most liked sports. Fill out the following probabilities being asked. Use a calculator. Soccer (S)Basketball (B)TotalCalifornia (C)839010,29018,680New York (NY)674720,19126, 938Total15, 13730, 48145, 618What is the P(S)?What is the P(B)?What is the P(C)?What is the P(NY)?What is P(B and C)?What is the P(S and NY)?What is the P(S | C)?Quadratic FunctionsQuestionsVocabulary:QuadraticLinearMaximumMinimumRate of changeExponential Recursive FormulaExplicit FormulaFactor the following expressions x2-9x2-1612x2-20x-82x2+5x-25 Plug in the following number into the functions:f0, f-1, and f2.fx=3x2-2x+1fx=7x-2fx=x-3x+1Classify the following functions as either linear, quadratic, or exponential:fx=2x+1fx=x2+x+1f1=1, fx=fx-1+2f0=2, fx=fx-2+2nStructure of ExpressionsQuestionsVocabularyQuadratic functionsParabolasVertex formTransformationsCompleting the squareFactored formExpanded formx-interceptsy-intercepts Convert to Vertex Form (complete the square):y=x2+2x-8y=x2+6x+8Convert to Standard Form (distribute):y=x-12-9y=x-32-1Convert to Factored form (diamond):y=x2+2x-8y=x2+6x+8Quadratic EquationsQuestionsVocabulary:Exponential functionIntegersQuadraticsRadicalsExponentsRational exponentsQuadratic formulaRoots of quadratic functionsComplex numbersi2=-1i3=-ii4=1i5=iFind the solutions to the given equations:x2+8x+7=0x+82=73x2-11x+3=0Simplify the imaginary numbers:i72i2+3i3+4i410-9+11-410+-1002Find the solutions to the following equations:5x2-2x+4=0x2+4x-12=04x2+4x-3=0 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download