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LECTURE 15: MIDTERM REVIEW IMA 101 Basic Mathematics 7/29/2010 1 IMA101 Basic Mathematics

IMA 101 Basic Mathematics

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IMA 101 Basic Mathematics. Lecture 15: Midterm Review. Midterm Information. Time and Location: Tuesday August 3, 2010 15:30 – 17:30 PC 401. Things you may bring to the midterm:. Yourself A pencil and eraser A pen (blue/black ink only) One extra pen or pencil - PowerPoint PPT Presentation

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Page 1: IMA 101 Basic Mathematics

IMA101 Basic Mathematics

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LECTURE 15 :MIDTERM REVIEW

IMA 101 Basic Mathematics

7/29/2010

Page 2: IMA 101 Basic Mathematics

IMA101 Basic Mathematics

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Midterm Information

Time and Location: Tuesday August 3, 2010 15:30 – 17:30 PC 401

7/29/2010

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IMA101 Basic Mathematics

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Things you may bring to the midterm:

YourselfA pencil and eraser A pen (blue/black ink only)One extra pen or pencilONE A4 sheet with whatever notes you want

to put on it (front and back)A wrist watch without calculator capabilitiesA clear plastic bottle of waterEnglish language dictionary

7/29/2010

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IMA101 Basic Mathematics

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Things you may not bring to the midterm:

You are not allowed to use a calculator the questions will be designed so that it will not be

necessaryYou are not allowed to use your cell phone

Please bring a wristwatch if you need to check the time

Food or drink (aside from water) The midterm is 2 hours long, please wait until the end

of the midterm to eat or drinkNotes or books aside from one A4 sheet of

paper or a dictionary

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Cheating

What is considered cheating?Cheating is:

Communicating with another student during the time of the exam

Using any external resources aside from the permitted single sheet of A4 notes

Looking at or attempting to use another student’s work

Behaving in a disruptive manner during the exam period

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IMA101 Basic Mathematics

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Cheating

Why do people cheat? Don’t study enough Insecurity Fall behind on the material Worried about not getting a good grade

What happens if you cheat? You will be caught You will be expelled from the exam room and not

permitted to complete the exam See handbook (read in class) You will lose my respect

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IMA101 Basic Mathematics

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Cheating

Please do not cheat

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IMA101 Basic Mathematics

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Midterm Overview

Questions are based on homework, lectures, and assigned reading

Today: topics overviewTomorrow 2pm: question/answer session

Graded assignments will be returned during the Q/A

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Midterm format

10 questionsSimilar to what you have seen on the

homework Some word problems, some calculation, some

conceptualDivided equally among the topics

20% of the midterm from each week 10% from each lecture (lecture 2 included with

lecture 3)Note: some questions might combine topics

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Numbers: Lecture 2

Whole numbersOperations:

Addition Subtraction Multiplication Division Order of operations

Prime numbersPrime factorizationIntroduction to exponents

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Numbers: Lecture 3

Integers Negative numbers Ordering numbers Absolute value Exponents with integer

basesRational numbers

Fractions Equivalent fraction Simplification The reciprocal The least common

denominator (LCD)

Operations: Addition Subtraction Multiplication Division

Order of operations

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Numbers: Lecture 4

Decimals Dividing/multiplying

by 10 Rounding Fractions decimals Repeating decimals

Introduction to square roots Using prime

factorization

Operations: Addition Subtraction Multiplication Division

Order of operations

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Numbers: Lecture 5, 6

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Percents Percents fractions Percents decimals Repeating decimals and approximations percent = amount/ base

Ratios Proportions

cross-multiplicationUnit conversions

changeoriginaloriginalnew %100

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Weeks 1 & 2

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Number sets Relationship among them

Order of operations

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Algebra: Lecture 7

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Solving linear equalities Isolate terms with the variable Multiply to get just the variable

Using the distributive propertyUsing the LCDWord problems

Distance = rate * time Equivalent rates Earning Interest

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Algebra: Lecture 7

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Properties of equalitiesSolving linear equalities

Isolate terms with the variable Multiply to get just the variable

Using the distributive propertyUsing the LCDWord problems

Distance = rate * time Equivalent rates Earning Interest

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Algebra: Lecture 8

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Properties of inequalities Multiplying by a negative

Solving linear inequalities On the number line Interval notation

Linear inequality word problemsEqualities with absolute valueInequalities with absolute valueAbsolute value word problems

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Algebra: Lectures 9, 10

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Exponent properties (integers and rational n) Exponent of one Exponent of zero Negative exponent Product of two exponents (same base) Quotient of two exponents (same base) Raising an exponent to another exponent Distributing the exponent (different bases) Fraction shortcut Powers to know

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Algebra: Lectures 9, 10

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Rational exponents and the nth rootRationalization (using special factorizations)Radicals

Properties & simplificationSolving quadratic equations

Factoring and distributing (FOIL) Zero-factor property Square root property Completing the square The quadratic formula When no solution exists

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Algebra: Lecture 11

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Polynomials Distribution and factoring Special factorizations Pascal’s triangle and the binomial expansion

Rationals Properties simplification Constraining the variable

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Algebra: Lecture 12

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Polynomial inequalities Zero factor property and number line

Rational inequality Don’t multiply by the denominator

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TOPICS

Number sets: Whole numbers, integers, fractions, decimals Operations on numbers (order of operations) Percents: Converting to decimals/fractions, solving word problems Ratios and Proportions Unit Conversions Applications Linear equality and inequality Applications: rates, DTR, interest rates Absolute value equalities & inequalities Applications: Quadratic equations: zero factor property, square root property, completing the square, quadratic formula Integer and rational exponents/radicals: Simplifying expressions Polynomials: factoring with special factorization, binomial expansion Rationals: Simplifying rational expressions, operating on them Polynomial and rational inequalities with +/- number line

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