5-6 Study Guide. Radical Expressions and Rational Exponents. Attendance Problems. Simplify each expression. (No decimal answers!
|
|
- Shanon Bell
- 6 years ago
- Views:
Transcription
1 Page 1 of 12 Radical Expressions and Rational Exponents Attendance Problems. Simplify each expression. (No decimal answers) I can rewrite radical expressions by using rational exponents. I can simplify and evaluate radical expressions and expressions containing rational exponents index Vocabulary rational exponent ( ) 7 Common Core: CCSS.MATH.CONTENT.HSA.REI.D.12 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes. You are probably familiar with finding the square root of a number. These two operations are inverses of each other. Similarly, there are roots that correspond to larger powers.
2 Page 2 of 12 is the square root of 2 because 2 = 2. 2 is the cube root of 8 because 2 = 8. 2 is the fourth root of 16 because 2 = 16. a is the nth root of b if a n = b. n The nth root of a real number a can be written as the radical expression a, where n is the index (plural: indices) of the radical and a is the radicand. When a number has more than one root, the radical sign indicates only the principal, or positive, root. Video Example 1. With a domain of the real numbers, A. Find all the square roots of 2. B. Find the all the fifth roots of 2. Reading Math When a radical sign shows no index, it represents a square root.
3 Page of 12 C. Find all the cube roots of -6. D. Find all the fourth roots of Finding Real Roots Find all real roots. A fourth roots of 81 A positive number has two real fourth roots. Because = 81 and (-) = 81, the roots are and -. B cube roots of -12 A negative number has one real cube root. Because (-) = -12, the root is -. C sixth roots of -729 A negative number has no real sixth roots. Example 1. With a domain of the real numbers, A. sixth roots of 6. B. cube roots of C. fourth roots of -102.
4 Page of 12 Guided Practice. With a domain of the real numbers,. Find all the fourth roots of Find all the sixth roots of Find all the cube roots of 12. Video Example 2. Simplify each expression. Assume that all variables are positive. Remember When an expression contains a radical in the denominator, you must rationalize the denominator. To do so, rewrite the expression so that the denominator contains no radicals. A. 16x 12 B. w
5 Page of 12 2 Simplifying Radical Expressions Simplify each expression. Assume that all variables are positive. A 27 x 6 B _ x 7 x x Factor into perfect cubes. _ x 7 Quotient Property x x Product Property x_ 7 x x Simplify. x_ x 2 x _ x _ 9 7 Simplify the numerator. Rationalize the denominator. Product Property Simplify. Example 2. Simplify each expression. Assume that all variables are positive. 81x 12 B. 16x 8 Guided Practice. Simplify each expression. Assume that all variables are positive x x 7 x 2 x 8
6 Page 6 of 12 m A rational exponent is an exponent that can be expressed as, where m and n n are integers and n 0. Radical expressions can be written by using rational exponents. Video Example. Write ( 8) in radical form and simplify. Writing Math The denominator of a rational exponent becomes the index of the radical. Writing Expressions in Radical Form 2_ Write the expression (-12) in radical form, and simplify. Method 1 Evaluate the root first. ( -12) 2 Write with a radical. Method 2 Evaluate the power first. (-12) 2 Write with a radical. (-) 2 Evaluate the root. 2 Evaluate the power. 1,62 Evaluate the power. 2 Evaluate the root.
7 Page 7 of 12 Example. Write the expression 2 in radical form and simplify. Guided Practice. Write each expression in radical form, and simplify Video Example. Write each expression by using rational exponents ( ) Writing Expressions by Using Rational Exponents Write each expression by using rational exponents. A 7 B 7 _ 11 6 n a m = a m_ n 11 6_ n a m = a m_ n 11 2 = 121 Simplify. Example. Write each expression by using rational exponents. A. 1 B. 8 1
8 Page 8 of 12 Guided Practice. Write each expression by using rational exponents. ( )
9 Page 9 of 12 Video Example. Simplify each expression. A B Simplifying Expressions with Rational Exponents Simplify each expression. _ 2_ A _ + _ 2 Product of Powers 2 1 Simplify. 2 Evaluate the power. Check Enter the expression in a graphing calculator. B 1 8 2_ 8 8 1_ - _ 2 Quotient of Powers 8 - _ 1 Simplify. 1_ Negative Exponent 1_ 8 Property 1_ Evaluate the power. 2 Check Enter the expression in a graphing calculator. Example. Simplify each expression A B. 16
10 Page 10 of 12 Guided Practice. Simplify each expression Video Example 6. Frets are small metal bars positioned across the neck of a guitar so that the guitar can produce the notes of a specific scale. To find the distance a 12 fret should be placed from the bridge, multiply the length of the string by, where n is the number of notes higher than the string s root note. Where should a fret be placed to produce an A flat note on the E string ( notes higher)? ( ) n
11 Page 11 of 12 6 Music Application Frets are small metal bars positioned across the neck of a guitar so that the guitar can produce the notes of a specific scale. To find the distance a fret should be placed from the bridge, multiply the length of the string by 2 - n_ 12, where n is the number of notes higher than the string s root note. Where should a fret be placed to produce a G note on the E string ( notes higher)? 6 ( 2 - n _ 12 ) = 6 ( 2 - _ 12 ) Use 6 cm for the length of the string, and substitute for n. = 6 ( 2 - _ 1 ) Simplify. = 6 ( 1 _ = 6 _ 2 1_ 2.82 ) 1_ Negative Exponent Property Simplify. Use a calculator. Bridge The fret should be placed about.82 cm from the bridge. 6 cm E string Frets Example 6. Radium-226 is a form of radioactive element that decays over time. An initial sample of radium-226 has a mass of 00 mg. The mass of radium-226 remaining from the initial sample after t years is given by 00 2 t To the nearest milligram, how much radium-226 would be left after 800 years?
12 Page 12 of Guided Practice. To find the distance a fret should be place from the bridge on a guitar, multiply the length of the string by, where n is the number of notes higher that the string s root note. Where should the fret be placed to produce the E note that is one octave higher on the E string (12 notes higher)? -6 Assignment (p 6) -7 odd, 6-71 odd. 2 n 12
Radical Expressions and Graph (7.1) EXAMPLE #1: EXAMPLE #2: EXAMPLE #3: Find roots of numbers (Objective #1) Figure #1:
Radical Expressions and Graph (7.1) Find roots of numbers EXAMPLE #1: Figure #1: Find principal (positive) roots EXAMPLE #2: Find n th roots of n th powers (Objective #3) EXAMPLE #3: Figure #2: 7.1 Radical
More informationEstimating with Square Roots
ACTIVITY 3.2 Estimating with Square Roots The square root of most numbers is not an integer. You can estimate the square root of a number that is not a perfect square. Begin by determining the two perfect
More informationMath 1201 Unit 2 Powers and Exponents Final Review
Math 1201 Unit 2 Powers and Exponents Final Review Multiple Choice 1. Write the prime factorization of 630. 2. Write the prime factorization of 4116. 3. Determine the greatest common factor of 56 and 88.
More informationMath 154 :: Elementary Algebra
Math :: Elementary Algebra Section 9. Section 9. Section 9. Section 9. Section 9. Section 9.6 Math :: Elementary Algebra Section 9. Introduction to Square Roots. This answer should be in your own words..
More informationName: Class: Date: Class Notes - Division Lesson Six. 1) Bring the decimal point straight up to the roof of the division symbol.
Name: Class: Date: Goals:11 1) Divide a Decimal by a Whole Number 2) Multiply and Divide by Powers of Ten 3) Divide by Decimals To divide a decimal by a whole number: Class Notes - Division Lesson Six
More informationPre-Algebra Unit 1: Number Sense Unit 1 Review Packet
Pre-Algebra Unit 1: Number Sense Unit 1 Review Packet Target 1: Writing Repeating Decimals in Rational Form Remember the goal is to get rid of the repeating decimal so we can write the number in rational
More informationAssignment 5 unit3-4-radicals. Due: Friday January 13 BEFORE HOMEROOM
Assignment 5 unit3-4-radicals Name: Due: Friday January 13 BEFORE HOMEROOM Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Write the prime factorization
More informationUnit 2: Exponents. 8 th Grade Math 8A - Mrs. Trinquero 8B - Dr. Taylor 8C - Mrs. Benefield
Unit 2: Exponents 8 th Grade Math 8A - Mrs. Trinquero 8B - Dr. Taylor 8C - Mrs. Benefield 1 8 th Grade Math Unit 2: Exponents Standards and Elements Targeted in the Unit: NS 1 Know that numbers that are
More informationWhat I can do for this unit:
Unit 1: Real Numbers Student Tracking Sheet Math 10 Common Name: Block: What I can do for this unit: After Practice After Review How I Did 1-1 I can sort a set of numbers into irrationals and rationals,
More informationRoots and Radicals Chapter Questions
Roots and Radicals Chapter Questions 1. What are the properties of a square? 2. What does taking the square root have to do with the area of a square? 3. Why is it helpful to memorize perfect squares?
More informationNumbers & Operations Chapter Problems
Numbers & Operations 8 th Grade Chapter Questions 1. What are the properties of a square? 2. What does taking the square root have to do with the area of a square? 3. Why is it helpful to memorize perfect
More informationYou found trigonometric values using the unit circle. (Lesson 4-3)
You found trigonometric values using the unit circle. (Lesson 4-3) LEQ: How do we identify and use basic trigonometric identities to find trigonometric values & use basic trigonometric identities to simplify
More informationThe Real Number System and Pythagorean Theorem Unit 9 Part B
The Real Number System and Pythagorean Theorem Unit 9 Part B Standards: 8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion;
More informationAlex Benn. Math 7 - Outline First Semester ( ) (Numbers in parentheses are the relevant California Math Textbook Sections) Quarter 1 44 days
Math 7 - Outline First Semester (2016-2017) Alex Benn (Numbers in parentheses are the relevant California Math Textbook Sections) Quarter 1 44 days 0.1 Classroom Rules Multiplication Table Unit 1 Measuring
More informationNOTES: SIGNED INTEGERS DAY 1
NOTES: SIGNED INTEGERS DAY 1 MULTIPLYING and DIVIDING: Same Signs (POSITIVE) + + = + positive x positive = positive = + negative x negative = positive Different Signs (NEGATIVE) + = positive x negative
More informationThe rectangle above has been divided into squares. Assume that the length of each side of a small square is 1 cm.
Powers and Roots SUGGESTED LEARNING STRATEGIES: Activating Prior Knowledge, Think/Pair/Share, Quickwrite, Group Presentation, Visualize, Create Representations Dominique Wilkins Middle School is holding
More informationINTRODUCTION TO LOGARITHMS
INTRODUCTION TO LOGARITHMS Dear Reader Logarithms are a tool originally designed to simplify complicated arithmetic calculations. They were etensively used before the advent of calculators. Logarithms
More informationReal Numbers and the Number Line. Unit 1 Lesson 3
Real Numbers and the Number Line Unit 1 Lesson 3 Students will be able to: graph and compare real numbers using the number line. Key Vocabulary: Real Number Rational Number Irrational number Non-Integers
More informationWorksheeet 1 Simplifying Square Roots
Worksheeet 1 Simplifying Square Free PDF ebook Download: Worksheeet 1 Download or Read Online ebook worksheeet 1 simplifying square roots in PDF Format From The Best User Guide Database Product Property
More informationIntervals For The Guitar
Intervals For The Guitar Intervals are the distance between 2 notes. We can take an originating tone and give every other note an interval name to describe each tone's distance in relation to the originating
More informationMental Calculation Policy 2014
Mental Calculation Policy 2014 RECEPTION Children count reliably with numbers from one to 20 and place them in order. Children can say which number is one more or one less than a given number up to 20
More information2.5. Combining Powers. LEARN ABOUT the Math. Nicole and Yvonne made origami paper cubes for a math project.
2.5 Combining Powers YOU WILL NEED a calculator Nicole s cube 4 cm GOAL Simplify products and quotients of powers with the same exponent. LEARN ABOUT the Math Nicole and Yvonne made origami paper cubes
More informationPowers and roots 6.1. Previous learning. Objectives based on NC levels and (mainly level ) Lessons 1 Squares, cubes and roots.
N 6.1 Powers and roots Previous learning Before they start, pupils should be able to: use index notation and the index laws for positive integer powers understand and use the order of operations, including
More informationTennessee Senior Bridge Mathematics
A Correlation of to the Mathematics Standards Approved July 30, 2010 Bid Category 13-130-10 A Correlation of, to the Mathematics Standards Mathematics Standards I. Ways of Looking: Revisiting Concepts
More informationSolutions to Problem Set 6 - Fall 2008 Due Tuesday, Oct. 21 at 1:00
18.781 Solutions to Problem Set 6 - Fall 008 Due Tuesday, Oct. 1 at 1:00 1. (Niven.8.7) If p 3 is prime, how many solutions are there to x p 1 1 (mod p)? How many solutions are there to x p 1 (mod p)?
More informationCategory A: Estimating Square Roots and Cube Roots - 3
Category A: Estimating Square Roots and Cube Roots When estimating irrational numbers, the easiest way to compare values is by squaring (or cubing) the given values. Ex: Between which two consecutive numbers
More informationSolving Linear & Graphing Inequalities
Solving Linear & Graphing Inequalities Sep 7 11:06 PM 1 Open circle on the graph means that the inequality will be greater than or less than. > or < Closed circle on the graph means that the inequality
More informationOutcome 9 Review Foundations and Pre-Calculus 10
Outcome 9 Review Foundations and Pre-Calculus 10 Level 2 Example: Writing an equation in slope intercept form Slope-Intercept Form: y = mx + b m = slope b = y-intercept Ex : Write the equation of a line
More information8.1 Exponential Growth 1. Graph exponential growth functions. 2. Use exponential growth functions to model real life situations.
8.1 Exponential Growth Objective 1. Graph exponential growth functions. 2. Use exponential growth functions to model real life situations. Key Terms Exponential Function Asymptote Exponential Growth Function
More informationEstimating Square Roots To The Nearest Tenth
To The Nearest Tenth Free PDF ebook Download: To The Nearest Tenth Download or Read Online ebook estimating square roots to the nearest tenth in PDF Format From The Best User Guide Database hash marks
More information5.1, 5.2, 5.3 Properites of Exponents last revised 12/4/2010
48 5.1, 5.2, 5.3 Properites of Exponents last revised 12/4/2010 Properites of Exponents 1. *Simplify each of the following: a. b. 2. c. d. 3. e. 4. f. g. 5. h. i. j. Negative exponents are NOT considered
More informationSquare Roots of Perfect Squares. How to change a decimal to a fraction (review)
Section 1.1 Square Roots of Perfect Squares How to change a decimal to a fraction (review) A) 0.6 The 6 is in the first decimal position called the tenths place. Therefore, B) 0.08 The 8 is in the second
More informationBlues turnaround chord melody lick
Blues turnaround chord melody lick Week 1: 52 weeks to better jazz guitar Blues turnaround chord melody lick Page 1 Copyright Darren Dutson Bromley Blues Turnaround Chord Melody Lick. As a guitarist, regardless
More informationSaxon Math K, Math 1, Math 2, and Math 3 Scope and Sequence
,,, and Scope and Sequence Numbers and Operations Number Sense and Numeration Counts by 1 s, 5 s, and 10 s Counts by 2 s, 25 s Counts by 100 s Counts by 3 s, 4 s Counts by 6 s, 7 s, 8 s, 9 s, and 12 s
More informationReview for Mastery. Identifying Linear Functions
Identifying Linear Functions You can determine if a function is linear by its graph, ordered pairs, or equation. Identify whether the graph represents a linear function. Step 1: Determine whether the graph
More informationAlgebra. Maureen Steddin
Algebra Maureen Steddin table of contents To the Student......................... v Part 1: Introduction.................................... 1 General Approach to Math Questions................... 1 Specific
More informationAdditional Open Chords
Additional Open Chords Chords can be altered (changed in harmonic structure) by adding notes or substituting one note for another. If you add a note that is already in the chord, the name does not change.
More informationThe Pentatonic Major Scale
The Major Scale The pentatonic major scale is a very popular scale in rock music. This page will tell you what the pentatonic major scale looks like. From there, I will teach you the five modes of the
More information5.1 Congruent Triangles 99 Mastery Practice Squares Square Roots Cubes Cube Roots 15 Mastery Practice 21
Chapter - Squares, Square Roots, Cubes and Cube Roots. Squares. Square Roots 7. Cubes. Cube Roots 5 Mastery Practice Chapter - Rational and Irrational Numbers. Rational Numbers. Real Numbers 7. Operations
More informationBELLWORK Vocabulary 4-5 MB pg. 182 CLICKERS!!
BELLWORK Vocabulary 4-5 MB pg. 182 CLICKERS!! square root principal square root perfect square October 02, 2012 Today's Agenda: 1. Bell Work: Vocabulary Ch. 4-5 2. Assignment Sheet 3. HW: 4-4 Practice
More information171S5.4p Properties of Logarithmic Functions. November 20, CHAPTER 5: Exponential and Logarithmic Functions. Examples. Express as a product.
MAT 171 Precalculus Algebra Dr. Claude Moore Cape Fear Community College CHAPTER 5: Exponential and Logarithmic Functions 5.1 Inverse Functions 5.2 Exponential Functions and Graphs 5.3 Logarithmic Functions
More informationWorking with Integer Exponents
4.2 Working with Integer Exponents GOAL Investigate powers that have integer or zero exponents. LEARN ABOUT the Math The metric system of measurement is used in most of the world. A key feature of the
More informationAn ordered collection of counters in rows or columns, showing multiplication facts.
Addend A number which is added to another number. Addition When a set of numbers are added together. E.g. 5 + 3 or 6 + 2 + 4 The answer is called the sum or the total and is shown by the equals sign (=)
More informationExponential and Logarithmic Functions. Copyright Cengage Learning. All rights reserved.
5 Exponential and Logarithmic Functions Copyright Cengage Learning. All rights reserved. 5.3 Properties of Logarithms Copyright Cengage Learning. All rights reserved. Objectives Use the change-of-base
More informationHow can we organize our data? What other combinations can we make? What do we expect will happen? CPM Materials modified by Mr.
Common Core Standard: 8.EE.2, 8.G.6 How can we organize our data? What other combinations can we make? What do we expect will happen? CPM Materials modified by Mr. Deyo Title: IM8 Ch. 9.2.3 How Can I Find
More informationStudy Material. For. Shortcut Maths
N ew Shortcut Maths Edition 2015 Study Material For Shortcut Maths Regd. Office :- A-202, Shanti Enclave, Opp.Railway Station, Mira Road(E), Mumbai. bankpo@laqshya.in (Not For Sale) (For Private Circulation
More information5.1, 5.2, 5.3 Properites of Exponents last revised 12/28/2010
48 5.1, 5.2, 5.3 Properites of Exponents last revised 12/28/2010 Properites of Exponents 1. *Simplify each of the following: a. b. 2. c. d. 3. e. 4. f. g. 5. h. i. j. Negative exponents are NOT considered
More informationComparing Exponential and Logarithmic Rules
Name _ Date Period Comparing Exponential and Logarithmic Rules Task : Looking closely at exponential and logarithmic patterns ) In a prior lesson you graphed and then compared an exponential function with
More informationMath, Music and Memory Fall 2014 The Monochord Lab: Length Versus Pitch
Math, Music and Memory Fall 2014 The Monochord Lab: Length Versus Pitch Names: The goal of this lab project is for you to explore the relationship between the length of a string and the pitch sounded when
More informationMAT 117 Fall /27/10 or 10/28/10 Worksheet 16 Section 8.1 & 8.2 Setting the Tone
Names: MAT 117 Fall 2010 10/27/10 or 10/28/10 Worksheet 16 Section 8.1 & 8.2 Setting the Tone This worksheet is loosely connected with sections 8.1 and 8.2, but covers a variety of mathematical topics.
More informationSummer Work th Grade Skills that are necessary for success in 7 th grade and beyond:
Summer Work 208 6 th Grade Math to 7 th Grade Math 6 th Grade Skills that are necessary for success in 7 th grade and beyond: - ability to add subtract, multiply and divide decimals and fractions - solve
More information3.3 Properties of Logarithms
Section 3.3 Properties of Logarithms 07 3.3 Properties of Logarithms Change of Base Most calculators have only two types of log keys, one for common logarithms (base 0) and one for natural logarithms (base
More informationStation 1. Rewrite each number using Scientific Notation 1. 6,890,000 = ,560,000 = 3. 1,500,000,000 = 4. 8,200 = 6. 0.
Station 1 Rewrite each number using Scientific Notation 1. 6,890,000 = 2. 240,560,000 = 3. 1,500,000,000 = 4. 8,200 = 5. 50 = 6. 0.00000000265 = 7. 0.0009804 = 8. 0.000080004 = 9. 0.5 = Station 2 Add using
More informationCopyright 2009 Pearson Canada Inc., Toronto, Ontario.
Copyright 2009 Pearson Canada Inc., Toronto, Ontario. All rights reserved. This publication (work) is protected by copyright. You are authorized to print one copy of this publication (work) for your personal,
More informationCore Learning Standards for Mathematics Grade 6
Core Learning Standards for Mathematics Grade 6 Write and evaluate numerical expressions involving whole-number exponents. Write, read, and evaluate expressions; identify parts of an expression using mathematical
More informationSimplifying Non-perfect Square Roots. Arlena Miller. Sullivan County. 9/Algebra 1
Simplifying Non-perfect Square Roots Arlena Miller Sullivan County 9/Algebra 1 Lesson Title: Simplifying Non-perfect Square Roots Grade: 9(Algebra I) Alignment with state standards: CLE 3102.2.1 Understand
More informationNumerical Roots and Radicals
Numerical Roots and Radicals Table of Contents Squares, Square Roots & Perfect Squares Square Roots of Numbers Greater than 400 Estimating Square Roots click on topic to go to that section 1 Squares, Square
More informationGREATER CLARK COUNTY SCHOOLS PACING GUIDE. Algebra I MATHEMATICS G R E A T E R C L A R K C O U N T Y S C H O O L S
GREATER CLARK COUNTY SCHOOLS PACING GUIDE Algebra I MATHEMATICS 2014-2015 G R E A T E R C L A R K C O U N T Y S C H O O L S ANNUAL PACING GUIDE Quarter/Learning Check Days (Approx) Q1/LC1 11 Concept/Skill
More information5.7 Introduction to Square Roots
5.7. INTRODUCTION TO SQUARE ROOTS 425 5.7 Introduction to Square Roots Recall that x 2 = x x. The Square of a Number. Thenumber x 2 is calledthe square ofthe number x. Thus, for example: 9 2 = 9 9 = 81.
More informationJunior Math Circles February 17, 2010 Exponents
1 University of Waterloo Faculty of Mathematics Centre for Education in Mathematics and Computing Junior Math Circles February 17, 2010 Exponents Opening Problem My rich uncle gave me a dollar for my 3rd
More informationSquares and Square Roots Algebra 11.1
Squares and Square Roots Algebra 11.1 To square a number, multiply the number by itself. Practice: Solve. 1. 1. 0.6. (9) 4. 10 11 Squares and Square Roots are Inverse Operations. If =y then is a square
More information2. When is an overtone harmonic? a. never c. when it is an integer multiple of the fundamental frequency b. always d.
PHYSICS LAPP RESONANCE, MUSIC, AND MUSICAL INSTRUMENTS REVIEW I will not be providing equations or any other information, but you can prepare a 3 x 5 card with equations and constants to be used on the
More informationPerfect Squares that are Written as Fractions or Decimals
Math 9: Unit 1 Lesson 2 Perfect Squares that are Written as Fractions or Decimals Part 1: Fractions There are two ways to determine the square root of a perfect square that is written as a fraction: 1.
More informationSkills Practice Skills Practice for Lesson 4.1
Skills Practice Skills Practice for Lesson.1 Name Date Squares and More Using Patterns to Generate Algebraic Functions Vocabulary Match each word with its corresponding definition. 1. linear function a.
More informationMath 9 Comprehensive Review Package - Answers. Unit 1 - Square Roots & Surface Area. Math 9 PAT Review Answers MULTIPLE CHOICE
Math 9 Comprehensive Review Package - Answers Unit 1 - Square Roots & Surface Area 1. ANS: A 2. ANS: C 3. ANS: D 4. ANS: D 5. ANS: C 6. ANS: 7. ANS: 18 8. ANS: The length of side s is about 7.1 cm. 9.
More informationLesson Plan Mr. Baglos Course: Honors Algebra II As of: 4/2/18. After School: 2:30-3:30 Room 2232
Lesson Plan Mr. Baglos Course: Honors Algebra II As of: 4/2/18 After School: 2:30-3:30 Room 2232 HW: Finish all notes for the day, do the assignment from your HMH workbook, Gizmos, your Math Journal, and
More informationCommon Core Math Tutorial and Practice
Common Core Math Tutorial and Practice TABLE OF CONTENTS Chapter One Number and Numerical Operations Number Sense...4 Ratios, Proportions, and Percents...12 Comparing and Ordering...19 Equivalent Numbers,
More informationIndices and Standard Form
Worksheets for GCSE Mathematics Indices and Standard Form Mr Black Maths Resources for Teachers GCSE 1-9 Number Indices and Standard Index Form Worksheets Contents Differentiated Independent Learning Worksheets
More informationSection 2.3 Task List
Summer 2017 Math 108 Section 2.3 67 Section 2.3 Task List Work through each of the following tasks, carefully filling in the following pages in your notebook. Section 2.3 Function Notation and Applications
More informationA slope of a line is the ratio between the change in a vertical distance (rise) to the change in a horizontal
The Slope of a Line (2.2) Find the slope of a line given two points on the line (Objective #1) A slope of a line is the ratio between the change in a vertical distance (rise) to the change in a horizontal
More informationChapter 3 Exponential and Logarithmic Functions
Chapter 3 Exponential and Logarithmic Functions Section 1 Section 2 Section 3 Section 4 Section 5 Exponential Functions and Their Graphs Logarithmic Functions and Their Graphs Properties of Logarithms
More information3.NBT NBT.2
Saxon Math 3 Class Description: Saxon mathematics is based on the principle of developing math skills incrementally and reviewing past skills daily. It also incorporates regular and cumulative assessments.
More informationNumbers Up! 1 Volcanic Panic Math Content
Numbers Up! 1 Volcanic Panic Math Content Numbers Up! 1 Volcanic Panic Math Content...1 Number Range 1-5...2 Number Range 1-10...2 Number Range 0-10...3 Number Range 0-10...3 Number Range 0-20...4 Number
More informationCourse Syllabus - Online Prealgebra
Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 1.1 Whole Numbers, Place Value Practice Problems for section 1.1 HW 1A 1.2 Adding Whole Numbers Practice Problems for section 1.2 HW 1B 1.3 Subtracting Whole Numbers
More informationLesson 0.1 The Same yet Smaller
Lesson 0.1 The Same yet Smaller 1. Write an expression and find the total shaded area in each square. In each case, assume that the area of the largest square is 1. a. b. c. d. 2. Write an expression and
More informationMinute Simplify: 12( ) = 3. Circle all of the following equal to : % Cross out the three-dimensional shape.
Minute 1 1. Simplify: 1( + 7 + 1) =. 7 = 10 10. Circle all of the following equal to : 0. 0% 5 100. 10 = 5 5. Cross out the three-dimensional shape. 6. Each side of the regular pentagon is 5 centimeters.
More informationMath Fundamentals for Statistics (Math 52) Unit 2:Number Line and Ordering. By Scott Fallstrom and Brent Pickett The How and Whys Guys.
Math Fundamentals for Statistics (Math 52) Unit 2:Number Line and Ordering By Scott Fallstrom and Brent Pickett The How and Whys Guys Unit 2 Page 1 2.1: Place Values We just looked at graphing ordered
More informationClass 8 Cubes and Cube Root
ID : in-8-cubes-and-cube-root [1] Class 8 Cubes and Cube Root For more such worksheets visit www.edugain.com Answer the questions (1) Find the value of A if (2) If you subtract a number x from 15 times
More informationGuitar chords and scales. J. Chaurette, December 2012
Guitar chords and scales J. Chaurette, December 2012 There are 5 different ways to play a major scale on the guitar. They each have a distinct pattern that can be played anywhere on the neck of the guitar.
More informationExtra Practice 1. Name Date. Lesson 1: Numbers in the Media. 1. Rewrite each number in standard form. a) 3.6 million b) 6 billion c)
Master 4.27 Extra Practice 1 Lesson 1: Numbers in the Media 1. Rewrite each number in standard form. 3 a) 3.6 million b) 6 billion c) 1 million 4 2 1 d) 2 billion e) 4.25 million f) 1.4 billion 10 2. Use
More informationPHYSICS AND THE GUITAR JORDY NETZEL LAKEHEAD UNIVERSITY
PHYSICS AND THE GUITAR JORDY NETZEL LAKEHEAD UNIVERSITY 2 PHYSICS & THE GUITAR TYPE THE DOCUMENT TITLE Wave Mechanics Starting with wave mechanics, or more specifically standing waves, it follows then
More informationAlgebra I CC Exam Review #1 H o2m0b1l3v 7KRu9tmal NSIoffrtGwaafrKeB 5LZLhCe.h m na3ldll 3rPiagBhlt8sm 4rEe0sPevr3vKe6dR.S. y x y. ( k ) ( 10) ( ) ( )
-1-5 b2e0r143a qkxustsah YS3ogfrtFwiazr9e3 BLjLPCQ.W R paslllj LrkiTgphqtysN drzeosqegrqvcezdj.o I YMOaPdyev LwhiVtthR AINnXfriknHirtleD famlwgue4bsryas e2r.j Worksheet by Kuta Software LLC Algebra I CC
More informationTriangles, Rectangles, Squares, and Circles
Triangles, Rectangles, Squares, and Circles Triangle sides Rectangle 4 sides Lesson 21 21 Square length a rectangle with 4 equal sides width Measures of a circle: Radius = 1 diameter Diameter = 2 radius
More informationExtra Practice 1. Name Date. Lesson 1: Numbers in the Media. 1. Rewrite each number in standard form. a) 3.6 million
Master 4.27 Extra Practice 1 Lesson 1: Numbers in the Media 1. Rewrite each number in standard form. a) 3.6 million 3 b) 6 billion 4 c) 1 million 2 1 d) 2 billion 10 e) 4.25 million f) 1.4 billion 2. Use
More informationMath + 4 (Red) SEMESTER 1. { Pg. 1 } Unit 1: Whole Number Sense. Unit 2: Whole Number Operations. Unit 3: Applications of Operations
Math + 4 (Red) This research-based course focuses on computational fluency, conceptual understanding, and problem-solving. The engaging course features new graphics, learning tools, and games; adaptive
More informationUNIT 1: NATURAL NUMBERS.
The set of Natural Numbers: UNIT 1: NATURAL NUMBERS. The set of Natural Numbers ( they are also called whole numbers) is N={0,1,2,3,4,5...}. Natural have two purposes: Counting: There are three apples
More informationProlegomena. Chapter Using Interval Notation 1
Chapter 1 Prolegomena 1.1 Using Interval Notation 1 Interval notation is another method for writing domain and range. In set builder notation braces (curly parentheses {} ) and variables are used to express
More informationNumber Sense Unit 1 Math 10F Mrs. Kornelsen R.D. Parker Collegiate
Unit 1 Math 10F Mrs. Kornelsen R.D. Parker Collegiate Lesson One: Rational Numbers New Definitions: Rational Number Is every number a rational number? What about the following? Why or why not? a) b) c)
More informationClass 8: Square Roots & Cube Roots (Lecture Notes)
Class 8: Square Roots & Cube Roots (Lecture Notes) SQUARE OF A NUMBER: The Square of a number is that number raised to the power. Examples: Square of 9 = 9 = 9 x 9 = 8 Square of 0. = (0.) = (0.) x (0.)
More informationMeet # 1 October, Intermediate Mathematics League of Eastern Massachusetts
Meet # 1 October, 2000 Intermediate Mathematics League of Eastern Massachusetts Meet # 1 October, 2000 Category 1 Mystery 1. In the picture shown below, the top half of the clock is obstructed from view
More informationThird Grade Mathematics Scope and Sequence
Third Grade Mathematics Scope and Sequence Quarter 1 Domain Operations & Algebraic Thinking Numbers & Operation in Base Ten Standard 3.OA.1 Interpret products of whole numbers, e.g., interpret 5 x 7 as
More information1 Integers and powers
1 Integers and powers 1.1 Integers and place value An integer is any positive or negative whole number. Zero is also an integer. The value of a digit in a number depends on its position in the number.
More informationGRADE LEVEL: FOURTH GRADE SUBJECT: MATH DATE: Read (in standard form) whole numbers. whole numbers Equivalent Whole Numbers
CRAWFORDSVILLE COMMUNITY SCHOOL CORPORATION 1 GRADE LEVEL: FOURTH GRADE SUBJECT: MATH DATE: 2019 2020 GRADING PERIOD: QUARTER 1 MASTER COPY 1 20 19 NUMBER SENSE Whole Numbers 4.NS.1: Read and write whole
More informationAdding and Subtracting Integers. How can you use addition and subtraction of integers to solve real-world problems?
UNIT 1 Study Guide Review? MODULE 1 ESSENTIAL QUESTION Adding and Subtracting Integers How can you use addition and subtraction of integers to solve real-world problems? Key Vocabulary additive inverse
More informationSolving Equations and Graphing
Solving Equations and Graphing Question 1: How do you solve a linear equation? Answer 1: 1. Remove any parentheses or other grouping symbols (if necessary). 2. If the equation contains a fraction, multiply
More informationGAP CLOSING. Powers and Roots. Intermediate / Senior Facilitator Guide
GAP CLOSING Powers and Roots Intermediate / Senior Facilitator Guide Powers and Roots Diagnostic...5 Administer the diagnostic...5 Using diagnostic results to personalize interventions...5 Solutions...5
More informationChapter 1 The Major Scale
Chapter 1 The Major Scale In this chapter we are going to look at our first scale, the major scale. Many of the other scales relate back to the major scale, so getting it firmly under your belt should
More informationCryptography Lecture 1: Remainders and Modular Arithmetic Spring 2014 Morgan Schreffler Office: POT 902
Cryptography Lecture 1: Remainders and Modular Arithmetic Spring 2014 Morgan Schreffler Office: POT 902 http://www.ms.uky.edu/~mschreffler Topic Idea: Cryptography Our next topic is something called Cryptography,
More informationIntermediate Mathematics League of Eastern Massachusetts
Meet #5 March 2009 Intermediate Mathematics League of Eastern Massachusetts Meet #5 March 2009 Category 1 Mystery 1. Sam told Mike to pick any number, then double it, then add 5 to the new value, then
More informationHonors Algebra 2 w/ Trigonometry Chapter 14: Trigonometric Identities & Equations Target Goals
Honors Algebra w/ Trigonometry Chapter 14: Trigonometric Identities & Equations Target Goals By the end of this chapter, you should be able to Identify trigonometric identities. (14.1) Factor trigonometric
More information