Heinemann VCE Zone textbook reference General Mathematics
|
|
- Janice Ray
- 5 years ago
- Views:
Transcription
1 Contents Cross-reference table for TI-Nspire CAS skills required for Heinemann VCE Zone: General, Heinemann VCE Zone: Further and Heinemann VCE Zone: Specialist. Code Description TS.1 Rounding off 4 TS.2 Scientific notation 8 TS.3 Entering numbers using scientific notation 8 TS.4 Fractions, decimals and index notation 9 Heinemann VCE Zone textbook reference General Further TS.5 TVM calculations , 314, 320 TS.6 Solving equations 46, 99, 100 TS.7 Transposition 54 TS.8 Checking algebraic simplifications 61 TS.9 Finding axis intercepts 62 TS.10 Finding points of intersection 63, 70, 96, , 237 TS.11 More algebraic simplifications 64 TS.12 Generating tables of values 66 TS.13 Choosing the values for a table of values 67 TS.14 Using Solve to solve simultaneous linear equations TS.15 Simplifying algebraic expressions TS.16 Partial fractions TS.17 Solving three simultaneous equations 94 TS.18 Factorising expressions 99 TS.19 Finding relationships 103 TS.20 Entering a matrix TS.21 Adding and subtracting matrices TS.22 Matrix multiplication TS.23 Determinant and inverse of a matrix TS.24 Solving simultaneous equations using matrices TS.25 Transition matrices , 417 TS.26 Plotting graphs from a table of values 171 Specialist
2 Code TS.27 Description Finding the equation of a straight line given two points Heinemann VCE Zone textbook reference General TS.28 Graphing half-planes TS.29 Intersecting half-planes TS.30 Investigating quadratic functions TS.31 Finding a quadratic equation from a table of values 212 TS.32 Graphs of logarithmic functions 216 TS.33 Calculating percentiles 248 TS.34 Mean and median TS.35 Five-figure summary and boxplot , 17 TS.36 Standard deviation TS.37 Comparative boxplots TS.38 Random numbers TS.39 Drawing a scatterplot , 111 TS.40 Pearson's correlation coefficient (r) TS.41 Regression equations , 83 TS.42 Three-median regression line TS.43 Using linear regression 318 TS.44 Surd arithmetic 339 TS.45 Radians 366 TS.46 Trigonometry 384, 389, 394, 395 Further 174, 175, 178, 179, 180, 185, 197 TS.47 Unit vectors , 14 TS.48 Scalar (dot) product of vectors TS.49 Scalar and vector resolutes of vectors TS.50 Complex solutions TS.51 Complex arithmetic TS.52 Complex conjugates TS.53 Complex division TS.54 Polar form of complex numbers TS.55 Converting from polar form TS.56 Polar form arithmetic , 61 Specialist
3 Code Description Heinemann VCE Zone textbook reference General Further TS.57 Complex solutions to polynomial equations TS.58 Complex solutions to complex polynomial equations TS.59 Arithmetic sequences TS.60 Arithmetic series TS.61 Geometric sequences , 122 TS.62 Terms in a geometric sequence TS.63 Solving for a power TS.64 Sum of a finite geometric series TS.65 Sum of an infinite geometric series TS.66 Solving for an unknown in a ratio TS.67 Finding the derivative 585 TS.68 Area under a curve TS.69 Adding and subtracting forces 608 TS.70 Histograms 6 TS.71 Coefficient of determination 50 TS.72 Residual plots 62 TS.73 Transformation of x to x 2 65 TS.74 Transformation of x to log 10 x. 66 TS.75 Transformation of x to x 1 67 TS.76 Seasonal graphs 88, 96, 98 TS.77 Difference equations 141 TS.78 Fibonacci and Fibonacci-like sequences 146 TS.79 Heron's rule 195 TS.80 Linear modelling 217 TS.81 Step graphs 223 TS.82 Linear programming 247 TS.83 Straight line graphs 260 TS.84 Cubic graphs 261 TS.85 Rectangular hyperbolas 261 TS.86 The truncus 262 TS.87 Finding a relationship 266 Specialist
4 Code Description Heinemann VCE Zone textbook reference General TS.88 Compound interest 296 TS.89 Scalar multiplication of matrices 394 Further TS.90 Converting a vector to rectangular form 11 TS.91 Position vectors 12 TS.92 Evaluating zi n 50 TS.93 Powers of complex numbers 51 TS.94 Converting point form to polar coordinates 53 TS.95 Addition of ordinates 99 TS.96 Describing key points on graphs 100 TS.97 Reciprocal graphs 106 TS.98 Drawing an ellipse 113 TS.99 Drawing a hyperbola 120 TS.100 Reciprocal circular functions 129 TS.101 Graphs of reciprocal circular functions 135 TS.102 Graphs of inverse circular functions 159 TS.103 Derivatives of inverse circular functions 165 TS.104 Antidifferentiation 177 TS.105 Definite integrals 216 TS.106 Area between curves 224 TS.107 Volumes of solids of revolution 232 TS.108 Second derivatives 247 TS.109 First-order differential equations 263 TS.110 Second-order differential equations 268 TS.111 First-order differential equations of the type 272 dy = f (y) dx TS.112 Slope field analysis 290 TS.113 Displacement at given times 302 TS.114 Displacement, velocity and acceleration graphs Specialist TS.115 Analysing motion 328, 394 TS.116 Parametric graphs 340,
5 Introduction This Supplement has been designed specifically for students using any of Heinemann VCE Zone: General, Heinemann VCE Zone: Further or Heinemann VCE Zone: Specialist. The Supplement: covers all TI-Nspire CAS skills for use in General, Further and Specialist includes keystrokes and screen dumps for the TI-Nspire CAS is clearly linked to textbook sections and worked examples. The instructions are written in an abbreviated format. Where there is a key to press on the keyboard the symbol for that key is shown, such as b. Where you need to make a selection from one of the menus that appear on the screen, the title of the option is given, such as Actions. Where you need to perform a number of things in order, they are separated by a >, such as b > Actions > Define. In these menus, the items have a number or letter beside them. You can either arrow down to select the item or you can press the appropriate number or letter to go there directly. In some of the screen dumps the menu system is shown. As the software version changes, so, sometimes, do the numbers or letters beside menu choices. The instruction tells you which one to choose: use this rather than just blindly pressing the number. Students are reminded to download the latest upgrades for the software from the TI site. In some of the sections, alternative methods are shown so students can make a decision as to which method suits them best. Other methods for completing some of the tasks included may be possible. What is presented is an attempt to familiarise students (and teachers) with this piece of technology. As the user becomes more familiar with the CAS then, no doubt, many other options will present themselves. Also available are: CAS Supplements Heinemann VCE Zone: Mathematical Methods 1&2/3&4 CAS TI-Nspire CAS Supplement Heinemann VCE Zone: General/Further/Specialist Casio ClassPad Supplement Heinemann VCE Zone: Mathematical Methods 1&2/3&4 CAS Casio ClassPad OS Version 3 Supplement Worked Solutions Heinemann VCE Zone: General Student Worked Solutions Heinemann VCE Zone: General Teacher Worked Solutions Heinemann VCE Zone: Further Student Worked Solutions Heinemann VCE Zone: Further Teacher Worked Solutions Heinemann VCE Zone: Specialist Student Worked Solutions Heinemann VCE Zone: Specialist Teacher Worked Solutions
6 TS.1 Rounding off Use the following instructions to round numbers. 1. In the Calculator application, press b > Number > Number Tools > Round. 2. Enter the number to be rounded (in this case ), followed by a comma and then the number of decimal places required (in this case 3), close the bracket and press. The number is then displayed with the correct number of decimal places. 3. If we need to round more than one number, it is better to set our CAS to the specified number of decimal places. We change this setting by pressing c > System Info > Document Settings, to get the screen shown at right. Pressing enables us to see our choices. We highlight the number of decimal places we want (we need to choose Fix 3 because Float 3 is significant figures) and press to confirm the choice, then e down to Apply to System and press, then again to confirm. (If there is no reason to arbitrarily limit the number of digits displayed, Float seems to be a good option.) TI-Nspire CAS Supplement 1
7 TS.2 Scientific notation 1. Unlike graphics calculators, our TI-Nspire CAS will not automatically convert numbers into scientific form because it has the capacity to scroll across an otherwise full screen to show the answers. If we want the answer in scientific form, we hold down / while we press. For instance if we wanted in scientific form, we would enter , hold down the / and press. The calculator gives us the answer 4.56E -5, this is short hand for Of course we could change the number of decimal places displayed as well. TS.3 Entering numbers using scientific notation 1. To enter figures in standard form or scientific notation we use the i key. We do not need r before the i. If we want our answers to appear in scientific form, we must change the document settings. To do this, we press c > System Info > Document Settings and change Exponential Format to Scientific. We press to bring us back to the screen. With this setting changed, we can perform calculations involving standard form and get answers in that form. (If the exponent is negative, we press v before entering the exponent.) 2 Heinemann VCE Zone: General/Further/Specialist
8 TS.4 Fractions, decimals and index notation 1. If our CAS is set to Auto (we can check this by looking at the middle word at the top of the screen), then our CAS will decide whether fraction or decimal is the better way to display the answer to our calculation. We can change the setting by pressing c > System Info > Document Settings As an example, calculate as shown. This 4 was entered as a fraction, so it gives a fraction answer. 3. If we want a decimal equivalent to this then we press / To enter a mixed number, such as 3, press 5 3+2p5. Notice that this displays the 17 answer in improper fraction form as There are some fraction options available. Press b > Number > Fraction Tools > Proper Fraction > /v). Notice that the display shows the fraction with the + between the whole number part and the fraction part. TI-Nspire CAS Supplement 3
9 6. To raise a number to a power use the l key. Be careful because the cursor stays on the index line. If we were going to enter other parts of an expression, we would need to press to bring the cursor back to the base line. Press to display the answer. 7. Our CAS has built-in algebraic logic. This means the order of operations rule has been built in. We need to use brackets accurately to indicate the calculation we require. As an example, gives an answer of when we may have been 4 expecting 1. To get 1, we would enter (1 + 3) 4. Also, in calculations such as 2(5 + 9), we do not need to put a multiplication sign ( ) outside the bracket. TS.5 TVM calculations Our TI-Nspire has a TVM (Time, Value, Money) Solver built into it. The following uses the data from Worked Examples 14 and 15 on Heinemann VCE Zone: General pp. 24 and To access the TVM Solver press b > Algebra > Finance Solver. 4 Heinemann VCE Zone: General/Further/Specialist
10 2. First we calculate the value of an investment. We make: N = 48 (the number of payments) I(%) = 6 (the interest rate) PV = 0 (the present value of the investment) Pmt = -200 (we are paying out $200 each month) FV = 0 (this is what we want to find; 0 holds the place) PpY = 12 (12 payments per year) CpY = 12 (interest is calculated 12 times per year) PmtAt = END (the calculations are done at the end of the month) To move from one line to the next press. 3. When we have entered all of the values, we scroll back to FV (keep pressing ) and then press. Note that the answer is the same as was calculated in the Worked Example. 4. Here we calculate the monthly deposit required to reach a specified final value (in this case $6000). We enter the given information, putting 0 beside Pmt and 6000 beside FV then press with Pmt highlighted. TI-Nspire CAS Supplement 5
Using a graphic display calculator
12 Using a graphic display calculator CHAPTER OBJECTIVES: This chapter shows you how to use your graphic display calculator (GDC) to solve the different types of problems that you will meet in your course.
More informationNFC ACADEMY COURSE OVERVIEW
NFC ACADEMY COURSE OVERVIEW Algebra II Honors is a full-year, high school math course intended for the student who has successfully completed the prerequisite course Algebra I. This course focuses on algebraic
More informationAlgebra II. A2.1.1 Recognize and graph various types of functions, including polynomial, rational, and algebraic functions.
Standard 1: Relations and Functions Students graph relations and functions and find zeros. They use function notation and combine functions by composition. They interpret functions in given situations.
More informationUNIT 3 MATHEMATICAL METHODS ALGEBRA
UNIT 3 MATHEMATICAL METHODS ALGEBRA Substitution of Values Rearrangement and Substitution Polynomial Expressions Expanding Expressions Expanding Expressions by Rule Perfect Squares The Difference of Two
More informationCurriculum Catalog
2017-2018 Curriculum Catalog 2017 Glynlyon, Inc. Table of Contents ALGEBRA II COURSE OVERVIEW... 1 UNIT 1: SET, STRUCTURE, AND FUNCTION... 1 UNIT 2: NUMBERS, SENTENCES, AND PROBLEMS... 2 UNIT 3: LINEAR
More informationCURRICULUM MAP. Course/Subject: Honors Math I Grade: 10 Teacher: Davis. Month: September (19 instructional days)
Month: September (19 instructional days) Numbers, Number Systems and Number Relationships Standard 2.1.11.A: Use operations (e.g., opposite, reciprocal, absolute value, raising to a power, finding roots,
More informationThe Research- Driven Solution to Raise the Quality of High School Core Courses. Algebra I I. Instructional Units Plan
The Research- Driven Solution to Raise the Quality of High School Core Courses Algebra I I Instructional Units Plan Instructional Units Plan Algebra II This set of plans presents the topics and selected
More informationCOURSE OF STUDY MATHEMATICS
COURSE OF STUDY MATHEMATICS Name of Course: Pre-Calculus Course Number: 340 Grade Level: 12 Length of Course: 180 Days Type of Offering: Academic/Elective Credit Value: 1 credit Prerequisite/s: Algebra
More informationRADNOR TOWNSHIP SCHOOL DISTRICT Course Overview Honors Algebra 2 ( )
RADNOR TOWNSHIP SCHOOL DISTRICT Course Overview Honors Algebra 2 (05040432) General Information Prerequisite: 8th grade Algebra 1 with a C and Geometry Honors Length: Full Year Format: meets daily for
More informationCourse Number 432/433 Title Algebra II (A & B) H Grade # of Days 120
Whitman-Hanson Regional High School provides all students with a high- quality education in order to develop reflective, concerned citizens and contributing members of the global community. Course Number
More informationINDEX UNIT 3 TSFX REFERENCE MATERIALS 2014 ALGEBRA AND ARITHMETIC
INDEX UNIT 3 TSFX REFERENCE MATERIALS 2014 ALGEBRA AND ARITHMETIC Surds Page 1 Algebra of Polynomial Functions Page 2 Polynomial Expressions Page 2 Expanding Expressions Page 3 Factorising Expressions
More informationInstructional Units Plan Algebra II
Instructional Units Plan Algebra II This set of plans presents the topics and selected for ACT s rigorous Algebra II course. The topics and standards are arranged in ten units by suggested instructional
More informationRegion 16 Board of Education. Precalculus Curriculum
Region 16 Board of Education Precalculus Curriculum 2008 1 Course Description This course offers students an opportunity to explore a variety of concepts designed to prepare them to go on to study calculus.
More informationCOURSE OF STUDY MATHEMATICS
COURSE OF STUDY MATHEMATICS Name of Course: Honors PreCalculus Course Number: 341 Grade Level: 11 Length of Course: 180 Days Type of Offering: Academic Credit Value: 1 credit Prerequisite/s: Honors Geometry
More informationxvi xxiii xxvi Construction of the Real Line 2 Is Every Real Number Rational? 3 Problems Algebra of the Real Numbers 7
About the Author v Preface to the Instructor xvi WileyPLUS xxii Acknowledgments xxiii Preface to the Student xxvi 1 The Real Numbers 1 1.1 The Real Line 2 Construction of the Real Line 2 Is Every Real
More informationMCPS Algebra 2 and Precalculus Standards, Categories, and Indicators*
Content Standard 1.0 (HS) Patterns, Algebra and Functions Students will algebraically represent, model, analyze, and solve mathematical and real-world problems involving functional patterns and relationships.
More informationMapping Australian Curriculum (AC) Mathematics and VELS Mathematics. Australian Curriculum (AC) Year 9 Year 10/10A
Mapping Australian Curriculum (AC) Mathematics and VELS Mathematics In the following document, the left hand column shows AC content that matches VELS content at the corresponding levels. Teaching programs
More informationKIST DP Course Descriptions
Grade: 11 Unit Number: 1 Unit Title: Algebra Sequence and Series; Exponents and Logarithms; The Binomial Theorem Deductive vs. Inductive reasoning Mathematics begins with axioms and uses deductive reasoning
More informationReview Notes for IB Standard Level Math
Review Notes for IB Standard Level Math 1 Contents 1 Algebra 8 1.1 Rules of Basic Operations............................... 8 1.2 Rules of Roots..................................... 8 1.3 Rules of Exponents...................................
More informationby Jerald Murdock, Ellen Kamischke, and Eric Kamischke An Investigative Approach
Number and Operations Understand numbers, ways of representing numbers, relationships among numbers, and number systems develop a deeper understanding of very large and very small numbers and of various
More informationSOLVING QUADRATICS. Copyright - Kramzil Pty Ltd trading as Academic Teacher Resources
SOLVING QUADRATICS Copyright - Kramzil Pty Ltd trading as Academic Teacher Resources SOLVING QUADRATICS General Form: y a b c Where a, b and c are constants To solve a quadratic equation, the equation
More informationMyMathLab for School Precalculus Graphical, Numerical, Algebraic Common Core Edition 2016
A Correlation of MyMathLab for School Precalculus Common Core Edition 2016 to the Tennessee Mathematics Standards Approved July 30, 2010 Bid Category 13-090-10 , Standard 1 Mathematical Processes Course
More informationQuantile Textbook Report
Quantile Textbook Report Algebra 2 Author Charles, Randall I., et al StateEdition West Virginia Grade Algebra 2 1 Expressions, Equations, and Inequalities 1.1 Patterns and Expressions 930Q 1.2 Properties
More informationModule 1: Equations and Inequalities (30 days) Solving Equations: (10 Days) (10 Days)
Module 1: Equations and Inequalities (30 days) Word Problems Literal Equations (Scientific Applications) Justifying solutions Algebraic Proofs Represent constraints by equations and inequalities Graphing
More information2015 SUMMER MATH PACKET
Name: Date: 05 SUMMER MATH PACKET College Algebra Trig. - I understand that the purpose of the summer packet is for my child to review the topics they have already mastered in previous math classes and
More informationUtah Secondary Mathematics Core Curriculum Precalculus
A Correlation of Trigonometry Lial To the Utah Secondary Mathematics Core Curriculum Precalculus Resource Title: Trigonometry Publisher: Pearson Education Inc Publishing as Prentice Hall ISBN (10 or 13
More informationAlgebra II Standards of Learning Curriculum Guide
Expressions Operations AII.1 identify field properties, axioms of equality inequality, properties of order that are valid for the set of real numbers its subsets, complex numbers, matrices. be able to:
More informationUtah Core State Standards for Mathematics - Precalculus
A Correlation of A Graphical Approach to Precalculus with Limits A Unit Circle Approach 6 th Edition, 2015 to the Resource Title: with Limits 6th Edition Publisher: Pearson Education publishing as Prentice
More informationModule 1. Identify parts of an expression using vocabulary such as term, equation, inequality
Common Core Standards Major Topic Key Skills Chapters Key Vocabulary Essential Questions Module 1 Pre- Requisites Skills: Students need to know how to add, subtract, multiply and divide. Students need
More informationESCONDIDO UNION HIGH SCHOOL DISTRICT COURSE OF STUDY OUTLINE AND INSTRUCTIONAL OBJECTIVES
ESCONDIDO UNION HIGH SCHOOL DISTRICT COURSE OF STUDY OUTLINE AND INSTRUCTIONAL OBJECTIVES COURSE TITLE: Algebra II A/B COURSE NUMBERS: (P) 7241 / 2381 (H) 3902 / 3903 (Basic) 0336 / 0337 (SE) 5685/5686
More informationPennsylvania Academic Standards for Mathematics Grade 11
correlated to the Pennsylvania Academic Standards for Mathematics Grade 11 1/2003 2001 Algebra 1: Concepts and Skills 2001 correlated to the Pennsylvania Academic Standards for Mathematics Grade 11 2.1
More informationALGEBRA II Aerospace/Engineering
ALGEBRA II Program Goal 5: The student recognizes the importance of mathematics. Number Systems & Their Properties Demonstrate an understanding of the real # system; recognize, apply, & explain its properties;
More informationCollege Algebra with Corequisite Support: Targeted Review
College Algebra with Corequisite Support: Targeted Review 978-1-63545-056-9 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable)
More informationAlgebra 2. Curriculum (384 topics additional topics)
Algebra 2 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.
More informationSpiral Review Probability, Enter Your Grade Online Quiz - Probability Pascal's Triangle, Enter Your Grade
Course Description This course includes an in-depth analysis of algebraic problem solving preparing for College Level Algebra. Topics include: Equations and Inequalities, Linear Relations and Functions,
More informationMATHEMATICS: PAPER I. 1. This question paper consists of 8 pages and an Information Sheet of 2 pages (i ii). Please check that your paper is complete.
GRADE 1 STANDARDISATION PROJECT SEPTEMBER 014 MATHEMATICS: PAPER I Time: 3 hours 150 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists of 8 pages and an Information
More informationWilliamsville C.U.S.D. #15 Mathematics Curriculum
MATHEMATICS CURRICULUM AP CALCULUS 1 Program Title: A.P. Calculus Williamsville C.U.S.D. #15 Mathematics Curriculum Program Description: Program Content: AP Calculus is a full-year course. This course
More informationPreCalculus. Curriculum (447 topics additional topics)
PreCalculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.
More informationALGEBRA 2. Background Knowledge/Prior Skills Knows what operation properties hold for operations with matrices
ALGEBRA 2 Numbers and Operations Standard: 1 Understands and applies concepts of numbers and operations Power 1: Understands numbers, ways of representing numbers, relationships among numbers, and number
More informationNFC ACADEMY COURSE OVERVIEW
NFC ACADEMY COURSE OVERVIEW Pre-calculus is a full-year, high school credit course that is intended for the student who has successfully mastered the core algebraic and conceptual geometric concepts covered
More informationAlgebra & Trigonometry for College Readiness Media Update, 2016
A Correlation of Algebra & Trigonometry for To the Utah Core Standards for Mathematics to the Resource Title: Media Update Publisher: Pearson publishing as Prentice Hall ISBN: SE: 9780134007762 TE: 9780133994032
More informationInstructional Unit Conic Sections Pre Calculus #312 Unit Content Objective Performance Performance Task State Standards
Instructional Unit Conic Sections Conic Sections The student will be -Define conic sections -Homework 2.8.11E -Ellipses able to create conic as conic slices and -Classwork -Hyperbolas sections based on
More informationCatholic Central High School
Catholic Central High School Course: Basic Algebra 2 Department: Mathematics Length: One year Credit: 1 Prerequisite: Completion of Basic Algebra 1 or Algebra 1, Basic Plane Geometry or Plane Geometry,
More informationESSENTIAL SAMPLE. Mathematical Methods 1&2CAS MICHAEL EVANS KAY LIPSON DOUG WALLACE
ESSENTIAL Mathematical Methods 1&2CAS MICHAEL EVANS KAY LIPSON DOUG WALLACE TI-Nspire and Casio ClassPad material prepared in collaboration with Jan Honnens David Hibbard i CAMBRIDGE UNIVERSITY PRESS Cambridge,
More informationTABLE OF CONTENTS YEAR 12 MATHEMATICS ESSENTIAL. 17 November 2016
17 November 2016 TABLE OF CONTENTS YEAR 12 MATHEMATICS ESSENTIAL CHAPTER 1: GEOMETRY WACE syllabus reference A 2-dimensional shapes 3.2.1, 3.2.3 B 3-dimensional shapes 3.2.1 C Sketching solids 3.2.2 D
More informationPrentice Hall CME Project, Algebra
Prentice Hall Advanced Algebra C O R R E L A T E D T O Oregon High School Standards Draft 6.0, March 2009, Advanced Algebra Advanced Algebra A.A.1 Relations and Functions: Analyze functions and relations
More informationCURRICULUM CATALOG. Algebra II (3135) VA
2018-19 CURRICULUM CATALOG Algebra II (3135) VA Table of Contents COURSE OVERVIEW... 1 UNIT 1: STRUCTURE AND FUNCTIONS... 1 UNIT 2: LINEAR FUNCTIONS... 2 UNIT 3: INEQUALITIES AND ABSOLUTE VALUE... 2 UNIT
More informationAlgebra II Learning Targets
Chapter 0 Preparing for Advanced Algebra LT 0.1 Representing Functions Identify the domain and range of functions LT 0.2 FOIL Use the FOIL method to multiply binomials LT 0.3 Factoring Polynomials Use
More informationSeymour Public Schools Curriculum
The Mathematics Department believes its students must learn the importance of mathematics, the integration of different branches of mathematics, the application of math to real-life problems, and the connections
More informationLos Angeles Unified School District Secondary Mathematics Branch
Essential Standards in Mathematics (Grade 10, 11 or 12) Los Angeles Unified School District 310209 Essential Standards in Mathematics COURSE DESCRIPTION This one semester course is designed as a preparation
More informationContents. CHAPTER P Prerequisites 1. CHAPTER 1 Functions and Graphs 69. P.1 Real Numbers 1. P.2 Cartesian Coordinate System 14
CHAPTER P Prerequisites 1 P.1 Real Numbers 1 Representing Real Numbers ~ Order and Interval Notation ~ Basic Properties of Algebra ~ Integer Exponents ~ Scientific Notation P.2 Cartesian Coordinate System
More informationNORTH ALLEGHENY SCHOOL DISTRICT MATHEMATICS DEPARTMENT HONORS PRE-CALCULUS SYLLABUS COURSE NUMBER: 3421
NORTH ALLEGHENY SCHOOL DISTRICT MATHEMATICS DEPARTMENT HONORS PRE-CALCULUS SYLLABUS COURSE NUMBER: 3421 Units of Credit: 1.0 credits, honors weight Course Length: 184 days (full year) Course Overview This
More informationGrade Math (HL) Curriculum
Grade 11-12 Math (HL) Curriculum Unit of Study (Core Topic 1 of 7): Algebra Sequences and Series Exponents and Logarithms Counting Principles Binomial Theorem Mathematical Induction Complex Numbers Uses
More informationAlgebra II Crosswalk. Red font indicates a passage that is not addressed in the compared sets of standards.
The chart below includes the assessed on the Algebra II California Test, the Mathematics ), the the, the Competencies in Mathematics from the Intersegmental Committee of the Academic Senate (ICAS), and
More informationScope and Sequence Mathematics Algebra 2 400
Scope and Sequence Mathematics Algebra 2 400 Description : Students will study real numbers, complex numbers, functions, exponents, logarithms, graphs, variation, systems of equations and inequalities,
More informationLesson 1: Inverses of Functions Lesson 2: Graphs of Polynomial Functions Lesson 3: 3-Dimensional Space
Table of Contents Introduction.............................................................. v Unit 1: Modeling with Matrices... 1 Lesson 2: Solving Problems Using Matrices.................................
More informationPortable Assisted Study Sequence ALGEBRA IIB
SCOPE This course is divided into two semesters of study (A & B) comprised of five units each. Each unit teaches concepts and strategies recommended for intermediate algebra students. The second half of
More informationFoundations of Mathematics
Foundations of Mathematics 978-1-63545-087-3 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Lynn Marecek, Santa Ana College
More informationAlgebra 2 Secondary Mathematics Instructional Guide
Algebra 2 Secondary Mathematics Instructional Guide 2009-2010 ALGEBRA 2AB (Grade 9, 10 or 11) Prerequisite: Algebra 1AB or Geometry AB 310303 Algebra 2A 310304 Algebra 2B COURSE DESCRIPTION Los Angeles
More informationFurther algebra. polynomial identities
8 8A Polynomial identities 8B Partial fractions 8C Simultaneous equations areas of study The solution of simultaneous equations arising from the intersection of a line with a parabola, circle or rectangular
More informationAlgebra II. In this technological age, mathematics is more important than ever. When students
In this technological age, mathematics is more important than ever. When students leave school, they are more and more likely to use mathematics in their work and everyday lives operating computer equipment,
More informationPRECALCULUS BISHOP KELLY HIGH SCHOOL BOISE, IDAHO. Prepared by Kristina L. Gazdik. March 2005
PRECALCULUS BISHOP KELLY HIGH SCHOOL BOISE, IDAHO Prepared by Kristina L. Gazdik March 2005 1 TABLE OF CONTENTS Course Description.3 Scope and Sequence 4 Content Outlines UNIT I: FUNCTIONS AND THEIR GRAPHS
More informationAlgebra 2 with Trigonometry Correlation of the ALEKS course Algebra 2 with Trigonometry to the Tennessee Algebra II Standards
Algebra 2 with Trigonometry Correlation of the ALEKS course Algebra 2 with Trigonometry to the Tennessee Algebra II Standards Standard 2 : Number & Operations CLE 3103.2.1: CLE 3103.2.2: CLE 3103.2.3:
More informationIrrational Thoughts. Aim. Equipment. Irrational Investigation: Teacher Notes
Teacher Notes 7 8 9 10 11 12 Aim Identify strategies and techniques to express irrational numbers in surd form. Equipment For this activity you will need: TI-Nspire CAS TI-Nspire CAS Investigation Student
More informationAccelerated Advanced Algebra. Chapter 1 Patterns and Recursion Homework List and Objectives
Chapter 1 Patterns and Recursion Use recursive formulas for generating arithmetic, geometric, and shifted geometric sequences and be able to identify each type from their equations and graphs Write and
More informationAlgebra 2. Chapter 4 Exponential and Logarithmic Functions. Chapter 1 Foundations for Functions. Chapter 3 Polynomial Functions
Algebra 2 Chapter 1 Foundations for Chapter 2 Quadratic Chapter 3 Polynomial Chapter 4 Exponential and Logarithmic Chapter 5 Rational and Radical Chapter 6 Properties and Attributes of Chapter 7 Probability
More informationScope and Sequence: National Curriculum Mathematics from Haese Mathematics (7 10A)
Scope and Sequence: National Curriculum Mathematics from Haese Mathematics (7 10A) Updated 06/05/16 http://www.haesemathematics.com.au/ Note: Exercises in red text indicate material in the 10A textbook
More informationIntroductory Mathematics
Introductory Mathematics 1998 2003 1.01 Identify subsets of the real number system. 1.02 Estimate and compute with rational Grade 7: 1.02 numbers. 1.03 Compare, order, and convert among Grade 6: 1.03 fractions,
More informationCore A-level mathematics reproduced from the QCA s Subject criteria for Mathematics document
Core A-level mathematics reproduced from the QCA s Subject criteria for Mathematics document Background knowledge: (a) The arithmetic of integers (including HCFs and LCMs), of fractions, and of real numbers.
More information1 ** The performance objectives highlighted in italics have been identified as core to an Algebra II course.
Strand One: Number Sense and Operations Every student should understand and use all concepts and skills from the pervious grade levels. The standards are designed so that new learning builds on preceding
More informationCommon Core Edition Table of Contents
Common Core Edition Table of Contents ALGEBRA 1 Chapter 1 Foundations for Algebra 1-1 Variables and Expressions 1-2 Order of Operations and Evaluating Expressions 1-3 Real Numbers and the Number Line 1-4
More informationMATH Spring 2010 Topics per Section
MATH 101 - Spring 2010 Topics per Section Chapter 1 : These are the topics in ALEKS covered by each Section of the book. Section 1.1 : Section 1.2 : Ordering integers Plotting integers on a number line
More informationABE Math Review Package
P a g e ABE Math Review Package This material is intended as a review of skills you once learned and wish to review before your assessment. Before studying Algebra, you should be familiar with all of the
More informationPrerequisite: Qualification by assessment process or completion of Mathematics 1050 or one year of high school algebra with a grade of "C" or higher.
Reviewed by: D. Jones Reviewed by: B. Jean Reviewed by: M. Martinez Text update: Spring 2017 Date reviewed: February 2014 C&GE Approved: March 10, 2014 Board Approved: April 9, 2014 Mathematics (MATH)
More informationCurriculum Catalog
2017-2018 Curriculum Catalog 2017 Glynlyon, Inc. Table of Contents ALGEBRA I COURSE OVERVIEW... 1 UNIT 1: FOUNDATIONS OF ALGEBRA... 1 UNIT 2: LINEAR EQUATIONS... 2 UNIT 3: FUNCTIONS... 2 UNIT 4: INEQUALITIES...
More informationFinite Mathematics : A Business Approach
Finite Mathematics : A Business Approach Dr. Brian Travers and Prof. James Lampes Second Edition Cover Art by Stephanie Oxenford Additional Editing by John Gambino Contents What You Should Already Know
More informationCollege Algebra with Corequisite Support: A Blended Approach
College Algebra with Corequisite Support: A Blended Approach 978-1-63545-058-3 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable)
More informationCheck boxes of Edited Copy of Sp Topics (was 261-pilot)
Check boxes of Edited Copy of 10023 Sp 11 253 Topics (was 261-pilot) Intermediate Algebra (2011), 3rd Ed. [open all close all] R-Review of Basic Algebraic Concepts Section R.2 Ordering integers Plotting
More informationCollege Algebra To learn more about all our offerings Visit Knewton.com
College Algebra 978-1-63545-097-2 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Text Jay Abramson, Arizona State University
More informationEvaluate algebraic expressions for given values of the variables.
Algebra I Unit Lesson Title Lesson Objectives 1 FOUNDATIONS OF ALGEBRA Variables and Expressions Exponents and Order of Operations Identify a variable expression and its components: variable, coefficient,
More informationSPECIALIST MATHEMATICS
SPECIALIST MATHEMATICS (Year 11 and 12) UNIT A A1: Combinatorics Permutations: problems involving permutations use the multiplication principle and factorial notation permutations and restrictions with
More informationAlgebra and Trigonometry
Algebra and Trigonometry 978-1-63545-098-9 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Jay Abramson, Arizona State
More informationAssessment Report. Level 2, Mathematics
Assessment Report Level 2, 2006 Mathematics Manipulate algebraic expressions and solve equations (90284) Draw straightforward non-linear graphs (90285) Find and use straightforward derivatives and integrals
More informationFinal Exam Study Guide Mathematical Thinking, Fall 2003
Final Exam Study Guide Mathematical Thinking, Fall 2003 Chapter R Chapter R contains a lot of basic definitions and notations that are used throughout the rest of the book. Most of you are probably comfortable
More informationAlgebraic. techniques1
techniques Algebraic An electrician, a bank worker, a plumber and so on all have tools of their trade. Without these tools, and a good working knowledge of how to use them, it would be impossible for them
More informationSecondary Honors Algebra II Objectives
Secondary Honors Algebra II Objectives Chapter 1 Equations and Inequalities Students will learn to evaluate and simplify numerical and algebraic expressions, to solve linear and absolute value equations
More informationChetek-Weyerhaeuser High School
Chetek-Weyerhaeuser High School Advanced Math A Units and s Advanced Math A Unit 1 Functions and Math Models (7 days) 10% of grade s 1. I can make connections between the algebraic equation or description
More informationSection-A. Short Questions
Section-A Short Questions Question1: Define Problem? : A Problem is defined as a cultural artifact, which is especially visible in a society s economic and industrial decision making process. Those managers
More informationCollege Algebra & Trig w Apps
WTCS Repository 10-804-197 College Algebra & Trig w Apps Course Outcome Summary Course Information Description Total Credits 5.00 This course covers those skills needed for success in Calculus and many
More informationAcademic Outcomes Mathematics
Academic Outcomes Mathematics Mathematic Content Standards Overview: TK/ Kindergarten Counting and Cardinality: Know number names and the count sequence. Count to tell the number of objects. Compare numbers.
More informationCollege Algebra with Corequisite Support: A Compressed Approach
College Algebra with Corequisite Support: A Compressed Approach 978-1-63545-059-0 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable)
More informationMilford Public Schools Curriculum. Department: Mathematics Course Name: Algebra 1 Level 2
Milford Public Schools Curriculum Department: Mathematics Course Name: Algebra 1 Level 2 UNIT 1 Unit Title: Intro to Functions and Exponential Expressions Unit Description: Students explore the main functions
More informationTrinity Christian School Curriculum Guide
Course Title: Calculus Grade Taught: Twelfth Grade Credits: 1 credit Trinity Christian School Curriculum Guide A. Course Goals: 1. To provide students with a familiarity with the properties of linear,
More informationElementary and Intermediate Algebra
Elementary and Intermediate Algebra 978-1-63545-106-1 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Lynn Marecek, Santa
More informationHarbor Creek School District. Algebra II Advanced. Concepts Timeframe Skills Assessment Standards Linear Equations Inequalities
Algebra II Advanced and Graphing and Solving Linear Linear Absolute Value Relation vs. Standard Forms of Linear Slope Parallel & Perpendicular Lines Scatterplot & Linear Regression Graphing linear Absolute
More informationCollege Algebra and Trigonometry
GLOBAL EDITION College Algebra and Trigonometry THIRD EDITION J. S. Ratti Marcus McWaters College Algebra and Trigonometry, Global Edition Table of Contents Cover Title Page Contents Preface Resources
More informationAS and A level Further mathematics contents lists
AS and A level Further mathematics contents lists Contents Core Pure Mathematics Book 1/AS... 2 Core Pure Mathematics Book 2... 4 Further Pure Mathematics 1... 6 Further Pure Mathematics 2... 8 Further
More information1. The dosage in milligrams D of a heartworm preventive for a dog who weighs X pounds is given by D x. Substitute 28 in place of x to get:
1. The dosage in milligrams D of a heartworm preventive for a dog who weighs X pounds is given by D x 28 pounds. ( ) = 136 ( ). Find the proper dosage for a dog that weighs 25 x Substitute 28 in place
More informationNorthampton County Schools Pre-Calculus Mathematics Pacing Guide
Northampton County Schools Pre-Calculus Mathematics 2008-2009 Pacing Guide Grading Periods Included 1 st Six Weeks 2 nd Six Weeks 3 rd Six Weeks Northampton County Schools Department of Curriculum & Instruction
More information