Mathematics Standards Review and Revision Committee
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Act Mathematics
ACT MATHEMATICS Improving College Admission Test Scores Contributing Writers Marie Haisan L. Ramadeen Matthew Miktus David Hoffman ACT is a registered trademark of ACT Inc. Copyright 2004 by Instructivision, Inc., revised 2006, 2009, 2011, 2014 ISBN 973-156749-774-8 Printed in Canada. All rights reserved. No part of the material protected by this copyright may be reproduced in any form or by any means, for commercial or educational use, without permission in writing from the copyright owner. Requests for permission to make copies of any part of the work should be mailed to Copyright Permissions, Instructivision, Inc., P.O. Box 2004, Pine Brook, NJ 07058. Instructivision, Inc., P.O. Box 2004, Pine Brook, NJ 07058 Telephone 973-575-9992 or 888-551-5144; fax 973-575-9134, website: www.instructivision.com ii TABLE OF CONTENTS Introduction iv Glossary of Terms vi Summary of Formulas, Properties, and Laws xvi Practice Test A 1 Practice Test B 16 Practice Test C 33 Pre Algebra Skill Builder One 51 Skill Builder Two 57 Skill Builder Three 65 Elementary Algebra Skill Builder Four 71 Skill Builder Five 77 Skill Builder Six 84 Intermediate Algebra Skill Builder Seven 88 Skill Builder Eight 97 Coordinate Geometry Skill Builder Nine 105 Skill Builder Ten 112 Plane Geometry Skill Builder Eleven 123 Skill Builder Twelve 133 Skill Builder Thirteen 145 Trigonometry Skill Builder Fourteen 158 Answer Forms 165 iii INTRODUCTION The American College Testing Program Glossary: The glossary defines commonly used (ACT) is a comprehensive system of data mathematical expressions and many special and collection, processing, and reporting designed to technical words. -
Elvis Costello and Blondie
FOR IMMEDIATE RELEASE Media Contact: Bridget Smith v.845.583.2179 Photos & Interviews may be available upon request [email protected] ELVIS COSTELLO & THE IMPOSTERS AND BLONDIE EMBARK ON CO-HEADLINING SUMMER TOUR, BEGINNING AT BETHEL WOODS ON SATURDAY, JULY 20TH Tickets on-sale Saturday, April 6th at 10 AM April 2, 2019 (BETHEL, NY) – Bethel Woods Center for the Arts, the nonprofit cultural center located at the site of the 1969 Woodstock festival, today announced that Elvis Costello & The Imposters and Blondie will perform at the center on July 20th as the first stop on their coast-to-coast co-headlining tour. Tickets go on-sale Saturday, April 6th at 10:00 AM at www.BethelWoodsCenter.org, www.Ticketmaster.com, Ticketmaster outlets, or by phone at 1.800.745.3000. Elvis Costello and Blondie shared spots near the top of the UK Singles Chart 40 years ago when Blondie's "Heart Of Glass” sat neck-and-neck alongside Elvis Costello & The Attraction’s "Oliver's Army” in the company of The Bee Gees, Gloria Gaynor and ABBA. The same week, Blondie's seminal album Parallel Lines reached #1 on the Album Chart while Costello's Armed Forces landed at #3. Elvis Costello & The Imposters’ last tour in late 2018 found the combo reaching new live performance peaks. The band "came out swinging” (Star Tribune) in Minneapolis, were “unstoppable” in Anaheim (OC Register) and played an “epic and euphoric” (Variety) show in LA that even at nearly three hours “[left] ‘em wanting more.” The Imposters are: Steve Nieve (keyboards), Davey Faragher (bass) and Pete Thomas (drums). -
VECTOR ALGEBRAIC THEORY of ARITHMETIC: Part 2
7/25/13 VECTOR ALGEBRAIC THEORY OF ARITHMETIC: Part 2 VECTOR ALGEBRAIC THEORY OF ARITHMETIC: Part 2 Clyde L. Greeno The American Institute for the Improvement of MAthematics LEarning and Instruction (a.k.a. The MALEI Mathematics Institute) P.O. Box 54845 Tulsa, OK 74154 [email protected] ABSTRACT: Virtually unrecognized by curricular educators is that the theory of Arabic/base-number arithmetic relies on equivalence classes of whole-scalar vectors. Sooner or later the recognition will catalyze a major re-formation of scholastic curricular mathematics – and also of the mathematics education of all teachers of mathematics. Part 1 of this survey appears in the 2005 Proceedings of the MAA’s OK-AR Section Meeting. It sketches the vector-algebraic foundations of the Hindu-Arabic arithmetic for whole-number calculations – and that theory easily generalizes to include all base-number systems. As promised in Part 1, this Part 2 sequel outlines that theory’s extension to cover the whole-scalar vector arithmetic of fractions – which includes the arithmetics of finite decimal-points and of all other n-al points. Of course, the extension to infinite-dimensional whole-scalar vectors leads off to the n-al arithmetics for the reals. SUMMARY OF PART 1. Part 1 opened with an alphabetic construction of the Peano line of simple Arabic digit-strings – devoid of any reference to numbers – and extended that construction to achieve an Arabic numbers kind of whole-numbers system. Part 1 concluded by disclosing how the whole-scalars, vector-algebraic structure which underlies the Arabic arithmetic for whole numbers can serve as a mathematical basis for greatly improving the instructional effectiveness of curricular education in the arithmetic of whole numbers. -
Kauffman Center for the Performing Arts Announces Rock Show Double-Header to Kick Off Kauffman Center Presents 2017-2018 Season
NEWS RELEASE Contact: FOR IMMEDIATE RELEASE Bess Wallerstein Huff, Director of Marketing Monday, February, 13, 2017 Kauffman Center for the Performing Arts (816) 994-7229 | [email protected] KAUFFMAN CENTER FOR THE PERFORMING ARTS ANNOUNCES ROCK SHOW DOUBLE-HEADER TO KICK OFF KAUFFMAN CENTER PRESENTS 2017-2018 SEASON Blondie & Garbage: The Rage and Rapture Tour to stop at Muriel Kauffman Theatre on July 18 Kansas City, MO – The first announced show of its 2017-18 Kauffman Center Presents season will feature two quintessential rock ‘n’ roll acts. Blondie & Garbage: The Rage and Rapture Tour will perform for one night in Muriel Kauffman Theatre on Tuesday, July 18. Tickets for the show range from $79 to $149, and go on sale to the public at 10 a.m. Friday, February 24. Tickets will be available through the Kauffman Center Box Office at (816) 994-7222, via the Kauffman Center mobile app, or online at www.kauffmancenter.org. ABOUT BLONDIE Singer-songwriter Debbie Harry, guitarist and co-writer Chris Stein, powerhouse drummer Clem Burke and their band- mates in the punk/new wave band Blondie are undeniable pop icons, their sound and sensibility as fresh as when they first topped the charts in the late 1970s. Since their groundbreaking 1978 album Parallel Lines, the members of Blondie have always been a forward-thinking – and forward-moving – group. Their brand of cross-genre rock has spawned hits including “Call Me,” “Rapture,” and “Heart of Glass,” bringing underground sounds into the mainstream. Blondie’s 11th studio album, Po11inator, is out in May. ABOUT GARBAGE Hailing from Madison, WI, Garbage is guitarist Duke Erikson, drummer Butch Vig, guitarist Steve Marker and lead singer Shirley Manson. -
"Rip Her to Shreds": Women's Musk According to a Butch-Femme Aesthetic
"Rip Her to Shreds": Women's Musk According to a Butch-Femme Aesthetic Judith A, Peraino "Rip Her to Shreds" is the tide of a song recorded in 1977 by the rock group Blondie; a song in which the female singer cat tily criticizes another woman. It begins with the female "speak er" addressing other members of her clique by calling attention to a woman who obviously stands outside the group. The lis tener likewise becomes a member of the clique, forced to par ticipate tacitly in the act of criticism. Every stanza of merciless defamation is articulated by a group of voices who shout a cho rus of agreement, enticing the listener to join the fray. (spoken! Hey, psf pst, here she comes !lOW. Ah, you know her, would YOIl look ollhlll hair, Yah, YOIl know her, check out Ihose shoes, A version of this paper was read at the conference "Feminist Theory and Music: Toward a Common Language," Minneapolis, MN, June 1991. If) 20 Peraino Rip Her to Shreds She looked like she stepped out in the middle of somebody's cruise. She looks like the Su nday comics, She thinks she's Brenda Starr, Her nose·job is real atomic, All she needs is an old knife scar. CHORUS: (group) 00, she's so dull, (solo) come on rip her to shreds, (group) She's so dull, (solo) come on rip her to shreds.! In contrast to the backstabbing female which the Blondie song presents, so-called "women's music" emphasizes solidarity and affection between women, and reserves its critical barbs for men and patriarchal society. -
Map Math Instruction Sheet
Converting Units � � � from to do this Examples � � � milimeters meters 1,000mm = 1m An expanded mm m divide by 1000 4,321mm = 4.321m � � meters milimeters 1m = 1,000mm � tutorial on using m mm multiply by 1000 4.3m = 4,300mm map math � meters kilometers 1,000m = 1km � divide by 1000 � is available at m km 4,300m = 4.3km kilometers meters 1km = 1,000m � www.MapTools.com multiply by 1000 � km m 4.3km = 4,300m � inches feet 12 in. = 1 ft. � in. ft. divide by 12 48 in. = 4 ft. � � feet inches multiply by 12 1 ft. = 12 in. � ft. in. 4 ft. = 48 in. � � Map scales feet miles 5,280 ft. = 1 mi. ft. mi. divide by 5280 7,392 ft. = 1.4 mi. � grid tools, rulers, � � miles feet 1 mi. = 5,280 ft. and other tools mi. ft. multiply by 5280 1.4 mi. = 7,392 ft. � � for measuring inches milimeters 1 in. = 24.5mm � multiply by 24.5 map coordinates in. mm 12 in. = 294mm � � milimeters inches divide by 24.5 24.5mm = 1 in. � are available mm in. 294mm = 12 in. miles kilometers multiply by 1 mi. = 1.6093km � � mi. km 1.6093 5 mi. = 8.0465km kilometers miles divide by 1.6093 1.6093km = 1 mi. � km mi. 1km = 0.6213 mi. � Check with your Map Distance v.s. Terrain Distance � � local map store or visit Distances measured on a map assume a flat surface and do not account or the Map Math � additional distance introduced as you climb up and down over the terrain. -
Hardin Middle School Math Cheat Sheets
Name: __________________________________________ 7th Grade Math Teacher: ______________________________ 8th Grade Math Teacher: ______________________________ Hardin Middle School Math Cheat Sheets You will be given only one of these books. If you lose the book, it will cost $5 to replace it. Compiled by Shirk &Harrigan - Updated May 2013 Alphabetized Topics Pages Pages Area 32 Place Value 9, 10 Circumference 32 Properties 12 22, 23, Comparing 23, 26 Proportions 24, 25, 26 Pythagorean Congruent Figures 35 36 Theorem 14, 15, 41 Converting 23 R.A.C.E. Divisibility Rules 8 Range 11 37, 38, 25 Equations 39 Rates Flow Charts Ratios 25, 26 32, 33, 10 Formulas 34 Rounding 18, 19, 20, 21, 35 Fractions 22, 23, Scale Factor 24 Geometric Figures 30, 31 Similar Figures 35 Greatest Common 22 Slide Method 22 Factor (GF or GCD) Inequalities 40 Substitution 29 Integers 18, 19 Surface Area 33 Ladder Method 22 Symbols 5 Least Common Multiple 22 Triangles 30, 36 (LCM or LCD) Mean 11 Variables 29 Median 11 Vocabulary Words 43 Mode 11 Volume 34 Multiplication Table 6 Word Problems 41, 42 Order of 16, 17 Operations 23, 24, Percent 25, 26 Perimeter 32 Table of Contents Pages Cheat Sheets 5 – 42 Math Symbols 5 Multiplication Table 6 Types of Numbers 7 Divisibility Rules 8 Place Value 9 Rounding & Comparing 10 Measures of Central Tendency 11 Properties 12 Coordinate Graphing 13 Measurement Conversions 14 Metric Conversions 15 Order of Operations 16 – 17 Integers 18 – 19 Fraction Operations 20 – 21 Ladder/Slide Method 22 Converting Fractions, Decimals, & 23 Percents Cross Products 24 Ratios, Rates, & Proportions 25 Comparing with Ratios, Percents, 26 and Proportions Solving Percent Problems 27 – 28 Substitution & Variables 29 Geometric Figures 30 – 31 Area, Perimeter, Circumference 32 Surface Area 33 Volume 34 Congruent & Similar Figures 35 Pythagorean Theorem 36 Hands-On-Equation 37 Understanding Flow Charts 38 Solving Equations Mathematically 39 Inequalities 40 R.A.C.E. -
Top 40 Singles Top 40 Albums
29 April 1979 CHART #184 Top 40 Singles Top 40 Albums Heart Of Glass Too Much Heaven Don't Walk Boogie Living Inside Your Love 1 Blondie 21 Bee Gees 1 Various 21 George Benson Last week 2 / 5 weeks FESTIVAL Last week 15 / 17 weeks POLYGRAM Last week - / 1 weeks Platinum / EMI/CBS Last week 26 / 14 weeks FESTIVAL Music Box Dancer I Want Your Love Breakfast In America Comes A Time 2 Frank Mills 22 Chic 2 Supertramp 22 Neil Young Last week - / 1 weeks POLYGRAM Last week 30 / 2 weeks WEA Last week - / 1 weeks Gold / FESTIVAL Last week 29 / 25 weeks Gold / WEA Hit Me With Your Rhythm Stick Take Me To The River Spirits Have Flown Against The Grain 3 Ian Dury 23 Talking Heads 3 Bee Gees 23 Phoebe Snow Last week 11 / 6 weeks POLYGRAM Last week 20 / 6 weeks WEA Last week 1 / 5 weeks Platinum / POLYGRAM Last week 25 / 2 weeks CBS Tragedy In The Navy Parallel Lines Kaya 4 Bee Gees 24 Village People 4 Blondie 24 Bob Marley and the Wailers Last week 1 / 7 weeks POLYGRAM Last week - / 1 weeks BMG Last week 3 / 11 weeks Gold / FESTIVAL Last week 17 / 41 weeks FESTIVAL Blame It On The Boogie Le Freak Marty Robbins 20 Smash Hits Incantations 5 The Jacksons 25 Chic 5 Marty Robbins 25 Mike Oldfield Last week 3 / 15 weeks CBS Last week 22 / 16 weeks WEA Last week 2 / 4 weeks Platinum / CBS Last week 21 / 4 weeks RTC Stumblin' In Do Ya Think I'm Sexy A Single Man Toto 6 Suzi Quatro and Chris Norman 26 Rod Stewart 6 Elton John 26 Toto Last week 4 / 14 weeks EMI Last week 16 / 15 weeks WEA Last week 10 / 17 weeks Gold / POLYGRAM Last week 24 / 8 weeks CBS Ca -
Ernst Hofackers 70Er-Playlist | Reclam Verlag
Ernst Hofackers 70er-Playlist 1970/Singer/Songwriter: 1973/Krautrock/BRD Songs: Songs: 1. It’s Too Late - Carole King 1. Yoo Doo Right - Can 2. Ohio - Crosby, Stills, Nash & Young 2. Hallogallo - NEU! 3. Bridge Over Troubled Water - Simon & 3. Autobahn - Kraftwerk Garfunkel 4. Alles klar auf der Andrea Doria - Udo Lin- 4. You’ve Got A Friend - James Taylor denberg 5. Doctor My Eyes - Jackson Browne 5. Der Elektrolurch - Guru Guru Alben: Alben: 1. Tapestry - Carole King 1. Autobahn - Kraftwerk 2. American Pie - Don McLean 2. Tago Mago - Can 3. After The Goldrush - Neil Young 3. Alpha Centauri - Tangerine Dream 4. Blue - Joni Mitchell 4. Ball Pompös - Udo Lindenberg 5. Tumbleweed Connection - Elton John 5. Keine Macht für niemand - Ton Steine Scherben 1971/Rock/Prog/Metal: 1974/Reggae: Songs: 1. Paranoid - Black Sabbath Songs: 2. Black Dog - Led Zeppelin 1. Get Up, Stand Up - Bob Marley & The Wai- 3. Won’t Get Fooled Again – The Who lers 4. Echoes - Pink Floyd 2. Israelites - Desmond Dekker 5. Supper’s Ready - Genesis 3. The Harder They Come - Jimmy Cliff 4. Young, Gifted And Black - Bob & Marcia Alben: 5. Police & Thieves - Junior Murvin 1. Machine Head - Deep Purple 2. IV - Led Zeppelin Alben: 3. Close To The Edge - Yes 1. Catch A Fire - The Wailers 4. Aqualung - Jethro Tull 2. Return Of Django - The Upsetters 5. Master Of Reality - Black Sabbath 3. Sinsemilla - Black Uhuru 4. Legalize It - Peter Tosh 5. Handsworth Revolution - Steel Pulse 1972/Glam Rock: Songs: 1975/Black Music: 1. All The Young Dudes - Mott The Hoople 2. Walk On The Wild Side - Lou Reed Songs: 3. -
CHAN": Trojan Harry J All Stars /Pioneers S CHECK out the GROOVE Bobby Thurston Epic 68 ONE of the More Heartening Sights of Recent Months Has Another Faded Star
•,. TEARS LAUGHTER (;pr •%. TEST HITS Rose Fl • 2 TILL ME ON A SUNDAY 'width Aloft) Spitinut 1 r. 4 TWEI VE GOLD BARS Status Quo 3 C RAZY UTILE Tr , 3 STRiNG OF HITS Shadows I Ml 4 DESIRE Andy GIL* 6 5 HEARTBREAKERS Matt Mont') EMI 11 CALL ME Biondi. •".1kirvtstis , 7 1; THE CRYSTAL GAYLE SINGLES ALBUM Crystal Gayle United A • HIM Rupert Holmes A M M 8 7 REGGATTA DE BL ANC Police 9 TOO HOT Kool & The Gang De-Lite CFt 9 GLASS HOUSES Billy Joel 8 THE SECOND TIME AROUND Shalimar Solar to 8 NOBODY S HERO Stiff Little Fingers Chrysai 14 RIDE LIKE THE WIND Christopher Cross Warner Bros F Br 0 6 GET HAPPY Elvis Costello 10 10 HOW DO I MAKE YOU. Linda Ronstadt Asylum 17 , Cap ,' 2` LOUD AND CLEAR Sammy Hagar 11 13 SPECIAL LADY Ray. Goodman & Brown Polyder OUTLANDOS D AMOUR Police A..'." 12 2 LONGER Dan Fogelberg Full MoOrlit - 14 10 THE LAST DANCE Various Motowr , ti 13 16 I CAN T TELL YOU WHY Eagles Ayl 15 64 ON THROUGH THE NIGHT Del Leppard Vert'' 14 17 OFF THE WALL Michael Jackson 16 13 OFF THE WALL Michael Jackson Et. 15 19 FIRE LAKE Bob Seger 17 15 DOWN TO EARTH Rainbow , 16 6 ON THE RADIO Donna Summer 18 21 SPECIALS Specials 2- T<, GOING UNDERGROUND!DREAMS OF CHILDREN Jam Polydor 17 22 WITH YOU I'M BORN AGAIN. Billy Preston & Syreeta 19 16 EAT TO THE BEAT Blondie Chrysail!. 2 2 TOGETHER WE ARE BEAUTIFUL Fern Kinney WEA la 18 GIVE IT ALL YOU GOT Chuck Mangione 20 STAR TRAKS Various K Tel Millennium 3 4 TURNING JAPANESE Vapors UA 19 20 THREE TIMES IN LOVE Tommy James 21 19 PSYCHEDELIC FURS Psychedelic Furs CBS Arista 4 5 DANCE YOURSELF DIZZY -
A Mathematician's Secret from Euclid to Today
Quick, does 23=67 equal 33=97? A mathematician's secret from Euclid to today David Pengelley Abstract How might one determine in practice whether or not 23=67 equals 33=97? Is there a quick alternative to cross-multiplying? How about reducing? Cross-multiplying checks equality of products, whereas reducing is about the opposite, factoring and cancelling. Do these very different approaches to equality of fractions always reach the same conclusion? In fact they wouldn't, but for a critical prime-free property of the natural numbers more basic than, but essentially equivalent to, uniqueness of prime factorization. This property has ancient though very recently upturned origins, and was key to number theory even through Euler's work. We contrast three prime-free arguments for the property, which remedy a method of Euclid, use similarities of circles, or follow a clever proof in the style of Euclid, as in Barry Mazur's essay [22]. 1 Introduction What may we learn if we ask someone whether 23=67 equals 33=97, and ask them to explain why? Is there anything subtle going on here? Our question is not about when two fractions should be defined as \equal," but rather about how in practice one is legitimately allowed to determine whether or not they are equal. We first aim to stir up mud. We do this by asserting that there is a deli- cate issue in understanding fractions, something very powerful but sufficiently subtle that it tends early to become invisible to many mathematicians by as- suming intuitive second nature. For others it remains entirely outside conscious awareness, despite perhaps being used occasionally in practice without question. -
2014 Mathematics Grade 3 Performance Level Descriptors Page 1
May 1, 2014 2014 Mathematics Grade 3 Performance Level Descriptors Page 1 Level Basic Proficient Advanced Marginal academic performance, work approaching, but not yet Satisfactory academic performance indicating a solid Superior academic performance indicating an in-depth reaching, satisfactory performance, indicating partial understanding and display of the knowledge and skills included in understanding and exemplary display of the knowledge and skills understanding and limited display of the knowledge and skills Policy Level PLDs the Wyoming Content and Performance Standards. included in the Wyoming Content and Performance Standards. included in the Wyoming Content and Performance Standards. Domain Operations and Algebraic Thinking Basic students interpret products and quotients of whole numbers Proficient students interpret products and quotients of whole Advanced students write products and quotients in mathematical (2, 5, 10) using a pictorial representation (3.OA.1, 3.OA.2); numbers in mathematical and real-world contexts (3.OA.1); and real-world contexts; Range PLD: Cluster A - Represent and solve problems Basic students use multiplication within 100 to solve and represent Proficient students use multiplication and division within 100 to Advanced students use multiplication and division within 100 to involving multiplication and word problems provided a pictorial representation (3.OA.3); solve and represent word problems provided a pictorial solve and represent word problems (3.OA.3); division. representation (3.OA.3); Basic students determine the product or quotient in an equation Proficient students determine the unknown whole number in a Advanced students interpret two or more equations each with an given one of the factors to be 2, 5, or 10 (3.OA.4).