|
|
|
The Essential Guide to ALGEBRA 1
|
|
|
¹Ì±¹ ¼öÇÐ ½Ã¸®Áî1
¤Ó À¯Çϸ²
¤Ó
Ç츣¸óÇϿ콺
|
|
|
|
- Á¦ÈÞ¸ô ÁÖ¹® ½Ã °í°´º¸»ó, ÀϺΠÀ̺¥Æ® Âü¿© ¹× ÁõÁ¤Ç° ÁõÁ¤, ÇÏ·ç/´çÀÏ ¹è¼Û¿¡¼ Á¦¿ÜµÇ¹Ç·Î Âü°í ¹Ù¶ø´Ï´Ù.
-
-
-
¾Ð±¸Á¤ ÇöÀå °ÀǸ¦ ÅëÇØ PrealgebraºÎÅÍ AP Calculus±îÁö °¡¸£Ä¡¸é¼, °»ç·Î¼ ´À³¤ Á¡Àº, Çкθð´ÔµéÀÌ ¼±ÅÃÇÒ ¼ö ÀÖ´Â ±¹³»¿¡¼ ÆǸŵǴ Àü¹® ±³Àç°¡ ¸î °³ ¾ø´Ù´Â °Í°ú ÃæºÐÈ÷ ¸¹Àº ¿¬±¸¿Í ³ë·ÂÀ» Åë ÇØ °³¹ßµÈ ±³ÀçµéÀº ´õ´õ¿í ºÎÁ·ÇÏ´Ù´Â Á¡À̾ú½À´Ï´Ù.
±¹³» ¼ö´É ½ÃÀå¿¡¼´Â "OOO" Ä¿¸®Å§·³À¸·Î ÁøÇàµÇ´Â ¼ö¾÷µé°ú ±³Àç µéÀÌ ¸¹Àº µ¥ ºñÇØ, ¹Ì±¹ SAT ½ÃÀå°ú À¯ÇÐ ½ÃÀåÀº ±×·¸Áö ¾Ê¾Ò±â ¶§¹®¿¡, ÀÌ·¸°Ô À¯Çϸ² Ä¿¸®Å§·³ÀÇ ½ÃÀÛÀ» ¾Ë¸®´Â °ÍÀÌ ±â´ëµÇ¸é¼µµ ¶³¸³´Ï´Ù.
Algebra 1À» óÀ½ ¹è¿ì´Â ÇлýµéÀÌ Èï¹Ì·Ó°Ô ¹è¿ì±æ Èñ¸ÁÇÏ¸é¼ ±³À縦 ½è½À´Ï´Ù. ¶ÇÇÑ, °Àdzª ±³Àç°¡ ³Ê¹« ½±´Ù°í ´À²¸ÁöÁø ¾ÊÀ» Á¤µµ ÀÇ °³³ä °ÀÇ ¼öÁØÀ» À¯ÁöÇϱâ À§ÇØ ³ë·ÂÇßÀ¸¸ç, Áö±Ý±îÁö ¼ö¾÷ÇØ¿Ô ´ø ³»¿ëµéÀ» ¸¹ÀÌ ´ã¾Ò±â ¶§¹®¿¡ ±¹³»¿¡¼ À¯ÇÐÀ» ÁغñÇÏ´Â ÇлýÀ̳ª ÇØ¿Ü¿¡¼ °øºÎÇÏ°í ÀÖ´Â Çлýµé¿¡°Ô µµ¿òÀÌ µÇ±æ Áø½ÉÀ¸·Î Èñ¸ÁÇغ¾´Ï´Ù.
-
-
Preface 2
ÀúÀÚ ¼Ò°³ 3
ÀÌ Ã¥ÀÇ ±¸¼º°ú Ư¡ 4
Topic 1 Mathematical Expressions
1.1 Mathematical Expressions................................................. 10
1.2 Arithmetic with Expressions.............................................. 11
1.3 Manipulation of Expressions............................................. 13
Topic 2 More Variables
2.1 One-Variable Equation....................................................... 22
2.2 Multivariable Expressions................................................. 24
2.3 Multivariable Arithmetic ................................................... 25
2.4 Expansion and Simplification............................................ 27
2.5 Multivariable Fractions...................................................... 29
2.6 Multivariable Equations..................................................... 30
Topic 3 Two-Variable Equations
3.1 Two-Variable Equations..................................................... 38
3.2 Substitution........................................................................... 39
3.3 Elimination ....................................................................... 41
3.4 Word Problems ................................................................. 43
Topic 4 Proportion
4.1 Direct Proportion............................................................... 50
4.2 Inverse Proportion............................................................. 51
4.3 Joint Proportion................................................................. 52
4.4 Rate in Algebra 1............................................................... 53
Topic 5 Linear Graphs
5.1 The Real Number Line and the Cartesian Plane................ 62
5.2 Graphing Linear Equations................................................ 65
5.3 Slope Problems.................................................................. 68
5.4 Finding Line Equations...................................................... 70
5.5 Slope and Intercepts........................................................... 73
5.6 Parallel and Perpendicular lines......................................... 75
Topic 6 Basic Inequalities
6.1 Introduction ...................................................................... 84
6.2 Comparison ....................................................................... 86
6.3 Linear Inequalities............................................................. 88
6.4 Graphing Linear Inequalities............................................. 91
6.5 Linear Optimization........................................................... 93
Topic 7 Introduction to Quadratics
7.1 Quadratic Equations........................................................... 100
7.2 Factorization for a = 1....................................................... 102
7.3 Factorization for a ¡Á 1....................................................... 104
Topic 8 More Factorization
8.1 Square of Binomials........................................................... 116
8.2 Difference of Squares........................................................ 120
8.3 Four-Term Quadratics........................................................ 122
Topic 9 Complex Number
9.1 x2 = -1................................................................................ 130
9.2 Complex Numbers............................................................. 132
Topic 10 Completing the Squares
10.1 The Perfect Squares........................................................... 140
10.2 Completing the Squares..................................................... 143
10.3 Quadratic Formula............................................................. 145
Topic 11 Graphing Quadratics and Inequalities
11.1 Parabola ............................................................................ 156
11.2 Circle ................................................................................ 161
11.3 Quadratic Inequalities ....................................................... 165
11.4 Trivial Inequalities............................................................. 169
11.5 Quadratic Optimization...................................................... 170
Topic 12 Functions
12.1 Function ............................................................................ 180
12.2 Function Arithmetic........................................................... 185
12.3 Composition of Two Functions.......................................... 188
Topic 13 Graphs and Transformation
13.1 Graphing Functions............................................................ 200
13.2 Transformation .................................................................. 206
13.3 Graphs of Inverse Functions.............................................. 211
Topic 14 Polynomial Arithmetic
14.1 Polynomials....................................................................... 224
14.2 Polynomial Division.......................................................... 227
14.3 Rational Equations............................................................. 231
Topic 15 Statistics
15.1 Measures of Central Tendency........................................... 238
15.2 Measures of Spread............................................................ 239
15.3 Line of Best Fit.................................................................. 241
Solution Manual 247
-
-
|
À¯Çϸ² [Àú]
|
|
-
À¯Çϸ²Àº 2009³â °ø±³À° ¼º°ø»ç·Ê ¼ö±â°ø¸ðÀü ¿ì¼ö»óÀ» ¹Þ°í, ³ë½º¿þ½ºÅÏ ´ëÇб³ (Northwestern University) °æÁ¦Çаú/¼öÇаú º¹¼ö Àü°øÀ¸·Î 2012³â Çлç Á¹¾÷ÇÏ¿´´Ù. ÀÚ±âÁÖµµÀû ¹Ì±¹ ÇкΠÀ¯ÇÐ Áغñ¼ "¸ôÀÔ°øºÎ" (·£´ýÇϿ콺, 2010) ÀúÀÚ·Î, ¼¿ï ´ëÄ¡µ¿/¾Ð±¸Á¤ SAT Àü¹®Çпø ¼öÇÐ °»ç·Î È°µ¿Çϸç, ¾Æ¸¶Á¸´åÄÄ¿¡¼ ¹Ì±¹ Áß/°í±³¼öÇÐ Àü¹®±³Àç ½Ã¸®Áî Essential Math Series ÁýÇÊÀ» ÇÏ°í ÀÖ´Ù. ÇöÀç ¸¶½ºÅÍÇÁ·¾ (MasterPrep) Àΰ °»ç·Î È°µ¿ÇÏ°í, ¾Ð±¸Á¤ ¸®Ä¡ÇÁ·¾(Reach Prep) ¿øÀåÀÌ´Ù
-
-
Àüü 0°³ÀÇ ±¸¸ÅÈıⰡ ÀÖ½À´Ï´Ù.
|
ÀÎÅÍÆÄÅ©µµ¼´Â °í°´´ÔÀÇ ´Ü¼ø º¯½É¿¡ ÀÇÇÑ ±³È¯°ú ¹ÝÇ°¿¡ µå´Â ºñ¿ëÀº °í°´´ÔÀÌ ÁöºÒÄÉ µË´Ï´Ù.
´Ü, »óÇ°À̳ª ¼ºñ½º ÀÚüÀÇ ÇÏÀÚ·Î ÀÎÇÑ ±³È¯ ¹× ¹ÝÇ°Àº ¹«·á·Î ¹ÝÇ° µË´Ï´Ù. |
|
±³È¯ ¹× ¹ÝÇ°ÀÌ °¡´ÉÇÑ °æ¿ì |
»óÇ°À» °ø±Þ ¹ÞÀº ³¯·ÎºÎÅÍ 7ÀÏÀ̳» °¡´É
°ø±Þ¹ÞÀ¸½Å »óÇ°ÀÇ ³»¿ëÀÌ Ç¥½Ã, ±¤°í ³»¿ë°ú ´Ù¸£°Å³ª ´Ù¸£°Ô ÀÌÇàµÈ °æ¿ì¿¡´Â °ø±Þ¹ÞÀº ³¯·ÎºÎÅÍ 3°³¿ù À̳», ȤÀº ±×»ç½ÇÀ» ¾Ë°Ô µÈ ³¯ ¶Ç´Â ¾Ë ¼ö ÀÖ¾ú´ø ³¯·ÎºÎÅÍ 30ÀÏ À̳»
»óÇ°¿¡ ¾Æ¹«·± ÇÏÀÚ°¡ ¾ø´Â °æ¿ì ¼ÒºñÀÚÀÇ °í°´º¯½É¿¡ ÀÇÇÑ ±³È¯Àº »óÇ°ÀÇ Æ÷Àå»óÅ µîÀÌ ÀüÇô ¼Õ»óµÇÁö ¾ÊÀº °æ¿ì¿¡ ÇÑÇÏ¿© °¡´É |
|
±³È¯ ¹× ¹ÝÇ°ÀÌ ºÒ°¡´ÉÇÑ °æ¿ì |
±¸¸ÅÈ®Á¤ ÀÌÈÄ(¿ÀǸ¶ÄÏ»óÇ°¿¡ ÇÑÇÔ)
°í°´´ÔÀÇ Ã¥ÀÓ ÀÖ´Â »çÀ¯·Î »óÇ° µîÀÌ ¸ê½Ç ¶Ç´Â ÈÑ¼ÕµÈ °æ¿ì
(´Ü, »óÇ°ÀÇ ³»¿ëÀ» È®ÀÎÇϱâ À§ÇÏ¿© Æ÷Àå µîÀ» ÈѼÕÇÑ °æ¿ì´Â Á¦¿Ü)
½Ã°£ÀÌ Áö³²¿¡ µû¶ó ÀçÆǸŰ¡ °ï¶õÇÒ Á¤µµ·Î ¹°Ç°ÀÇ °¡Ä¡°¡ ¶³¾îÁø °æ¿ì
Æ÷Àå °³ºÀµÇ¾î »óÇ° °¡Ä¡°¡ ÈÑ¼ÕµÈ °æ¿ì |
|
´Ù¹è¼ÛÁöÀÇ °æ¿ì ¹ÝÇ° ȯºÒ |
´Ù¹è¼ÛÁöÀÇ °æ¿ì ´Ù¸¥ Áö¿ªÀÇ ¹ÝÇ°À» µ¿½Ã¿¡ ÁøÇàÇÒ ¼ö ¾ø½À´Ï´Ù.
1°³ Áö¿ªÀÇ ¹ÝÇ°ÀÌ ¿Ï·áµÈ ÈÄ ´Ù¸¥ Áö¿ª ¹ÝÇ°À» ÁøÇàÇÒ ¼ö ÀÖÀ¸¹Ç·Î, ÀÌÁ¡ ¾çÇØÇØ Áֽñ⠹ٶø´Ï´Ù. |
|
Áß°í»óÇ°ÀÇ ±³È¯ |
Áß°í»óÇ°Àº Á¦ÇÑµÈ Àç°í ³»¿¡¼ ÆǸŰ¡ ÀÌ·ç¾îÁö¹Ç·Î, ±³È¯Àº ºÒ°¡´ÉÇÕ´Ï´Ù. |
|
¿ÀǸ¶ÄÏ »óÇ°ÀÇ È¯ºÒ |
¿ÀǸ¶ÄÏ»óÇ°¿¡ ´ëÇÑ Ã¥ÀÓÀº ¿øÄ¢ÀûÀ¸·Î ¾÷ü¿¡°Ô ÀÖÀ¸¹Ç·Î, ±³È¯/¹ÝÇ° Á¢¼ö½Ã ¹Ýµå½Ã ÆǸÅÀÚ¿Í ÇùÀÇ ÈÄ ¹ÝÇ° Á¢¼ö¸¦ ÇϼžßÇϸç, ¹ÝÇ°Á¢¼ö ¾øÀÌ ¹Ý¼ÛÇϰųª, ¿ìÆíÀ¸·Î º¸³¾ °æ¿ì »óÇ° È®ÀÎÀÌ ¾î·Á¿ö ȯºÒÀÌ ºÒ°¡´ÉÇÒ ¼ö ÀÖÀ¸´Ï À¯ÀÇÇϽñ⠹ٶø´Ï´Ù. |
|
|
|
¹è¼Û¿¹Á¤ÀÏ ¾È³» |
ÀÎÅÍÆÄÅ© µµ¼´Â ¸ðµç »óÇ°¿¡ ´ëÇØ ¹è¼Û¿Ï·á¿¹Á¤ÀÏÀ» À¥»çÀÌÆ®¿¡ Ç¥½ÃÇÏ°í ÀÖ½À´Ï´Ù.
|
<ÀÎÅÍÆÄÅ© Á÷¹è¼Û »óÇ°> |
»óÇ°Àº ¿ù~Åä¿äÀÏ ¿ÀÀü 10½Ã ÀÌÀü ÁÖ¹®ºÐ¿¡ ´ëÇÏ¿© ´çÀÏ Ãâ°í/´çÀÏ ¹è¼Û¿Ï·á¸¦ º¸ÀåÇÏ´Â »óÇ°ÀÔ´Ï´Ù. |
»óÇ°Àº ¼¿ïÁö¿ª/ÆòÀÏ ÁÖ¹®ºÐÀº ´çÀÏ Ãâ°í/ÀÍÀÏ ¹è¼Û¿Ï·á¸¦ º¸ÀåÇϸç,
¼¿ï¿ÜÁö¿ª/ÆòÀÏ ÁÖ¹®ºÐÀÇ °æ¿ì´Â ¿ÀÈÄ 6½Ã±îÁö ÁÖ¹®ºÐ¿¡ ´ëÇÏ¿© ÀÍÀÏ ¹è¼Û¿Ï·á¸¦ º¸ÀåÇÏ´Â »óÇ°ÀÔ´Ï´Ù.
(´Ü, ¿ù¿äÀÏÀº 12½Ã±îÁö ÁÖ¹®¿¡ ÇÑÇÔ)
|
»óÇ°Àº, ÀÔ°í¿¹Á¤ÀÏ(Á¦Ç°Ãâ½ÃÀÏ)+Åùè»ç¹è¼ÛÀÏ(1ÀÏ)¿¡ ¹è¼Û¿Ï·á¸¦ º¸ÀåÇÕ´Ï´Ù. |
~
»óÇ°Àº À¯ÅëƯ¼º»ó ÀÎÅÍÆÄÅ©¿¡¼ Àç°í¸¦ º¸À¯ÇÏÁö ¾ÊÀº »óÇ°À¸·Î ÁÖ¹®ÀÏ+±âÁØÃâ°íÀÏ+Åùè»ç¹è¼ÛÀÏ(1ÀÏ)¿¡ ¹è¼Û¿Ï·á¸¦ º¸ÀåÇÕ´Ï´Ù.(Åä/°øÈÞÀÏÀº ¹è¼Û±â°£¿¡ Æ÷ÇÔµÇÁö ¾Ê½À´Ï´Ù.)
¡Ø±âÁØÃâ°íÀÏ:ÀÎÅÍÆÄÅ©°¡ »óÇ°À» ¼ö±ÞÇÏ¿© ¹°·ùâ°í¿¡¼ Æ÷Àå/Ãâ°íÇϱâ±îÁö ¼Ò¿äµÇ´Â ½Ã°£
|
|
<¾÷ü Á÷Á¢¹è¼Û/¿ÀǸ¶ÄÏ »óÇ°> |
~
»óÇ°Àº ¾÷ü°¡ ÁÖ¹®À» È®ÀÎÇÏ°í, Ãâ°íÇϱâ±îÁö °É¸®´Â ½Ã°£ÀÔ´Ï´Ù. ÁÖ¹®ÀÏ+±âÁØÃâ°íÀÏ+Åùè»ç¹è¼ÛÀÏ(2ÀÏ)¿¡ ¹è¼Û¿Ï·á¸¦ º¸ÀåÇÕ´Ï´Ù.(Åä/°øÈÞÀÏÀº ¹è¼Û±â°£¿¡ Æ÷ÇÔµÇÁö ¾Ê½À´Ï´Ù.)
¡Ø5ÀÏÀ̳» Ãâ°í°¡ ½ÃÀÛµÇÁö ¾ÊÀ»½Ã, ¿ÀǸ¶ÄÏ »óÇ°Àº ÀÚµ¿À¸·Î ÁÖ¹®ÀÌ Ãë¼ÒµÇ¸ç, °í°´´Ô²² Ç°Àýº¸»ó±ÝÀ» Áö±ÞÇØ µå¸³´Ï´Ù.
|
|
|
¹è¼Ûºñ ¾È³» |
µµ¼(Áß°íµµ¼ Æ÷ÇÔ)¸¸ ±¸¸ÅÇϽøé : ¹è¼Ûºñ 2,000¿ø (1¸¸¿øÀÌ»ó ±¸¸Å ½Ã ¹«·á¹è¼Û) À½¹Ý/DVD¸¸ ±¸¸ÅÇϽøé : ¹è¼Ûºñ 1,500¿ø (2¸¸¿øÀÌ»ó ±¸¸Å ½Ã ¹«·á¹è¼Û)
ÀâÁö/¸¸È/±âÇÁÆ®¸¸ ±¸¸ÅÇϽøé : ¹è¼Ûºñ 2,000¿ø (2¸¸¿øÀÌ»ó ±¸¸Å ½Ã ¹«·á¹è¼Û)
µµ¼¿Í À½¹Ý/DVD¸¦ ÇÔ²² ±¸¸ÅÇϽøé : ¹è¼Ûºñ 1,500¿ø 1¸¸¿øÀÌ»ó ±¸¸Å ½Ã ¹«·á¹è¼Û)
µµ¼¿Í ÀâÁö/¸¸È/±âÇÁÆ®/Áß°íÁ÷¹è¼Û»óÇ°À» ÇÔ²² ±¸¸ÅÇϽøé : 2,000¿ø (1¸¸¿øÀÌ»ó ±¸¸Å ½Ã ¹«·á¹è¼Û)
¾÷üÁ÷Á¢¹è¼Û»óÇ°À» ±¸¸Å½Ã : ¾÷üº°·Î »óÀÌÇÑ ¹è¼Ûºñ Àû¿ë
* ¼¼Æ®»óÇ°ÀÇ °æ¿ì ºÎºÐÃë¼Ò ½Ã Ãß°¡ ¹è¼Ûºñ°¡ ºÎ°úµÉ ¼ö ÀÖ½À´Ï´Ù.
* ºÏÄ«Æ®¿¡¼ ¹è¼Ûºñ¾ø¾Ö±â ¹öÆ°À» Ŭ¸¯Çϼż, µ¿ÀϾ÷ü»óÇ°À» Á¶±Ý ´õ ±¸¸ÅÇϽøé, ¹è¼Ûºñ¸¦ Àý¾àÇÏ½Ç ¼ö ÀÖ½À´Ï´Ù.
|
|
Çؿܹè¼Û ¾È³» |
ÀÎÅÍÆÄÅ©µµ¼¿¡¼´Â ±¹³»¿¡¼ ÁÖ¹®ÇϽðųª ÇØ¿Ü¿¡¼ ÁÖ¹®ÇÏ¿© ÇØ¿Ü·Î ¹è¼ÛÀ» ¿øÇÏ½Ç °æ¿ì DHL°ú Ư¾àÀ¸·Î Ã¥Á¤µÈ ¿ä±ÝÇ¥¿¡
ÀÇÇØ °³ÀÎÀÌ ÀÌ¿ëÇÏ´Â °æ¿ìº¸´Ù ¹è¼Û¿ä±ÝÀ» Å©°Ô ³·Ã߸ç DHL(www.dhl.co.kr)·Î Çؿܹè¼Û ¼ºñ½º¸¦ Á¦°øÇÕ´Ï´Ù.
Çؿܹè¼ÛÀº µµ¼/CD/DVD »óÇ°¿¡ ÇÑÇØ ¼ºñ½ºÇÏ°í ÀÖÀ¸¸ç, ´Ù¸¥ »óÇ°À» ºÏÄ«Æ®¿¡ ÇÔ²² ´ãÀ¸½Ç °æ¿ì Çؿܹè¼ÛÀÌ ºÒ°¡ÇÕ´Ï´Ù.
ÇØ¿ÜÁÖ¹®¹è¼Û ¼ºñ½º´Â ÀÎÅÍÆÄÅ© µµ¼ ȸ¿ø °¡ÀÔÀ» Çϼž߸¸ ½Åû °¡´ÉÇÕ´Ï´Ù. |
|
¾Ë¾ÆµÎ¼¼¿ä!!! |
µµ¸Å»ó ¹× Á¦ÀÛ»ç »çÁ¤¿¡ µû¶ó Ç°Àý/ÀýÆÇ µîÀÇ »çÀ¯·Î Ãë¼ÒµÉ ¼ö ÀÖ½À´Ï´Ù.
¿ÀǸ¶ÄϾ÷üÀÇ ¹è¼ÛÁö¿¬½Ã ÁÖ¹®ÀÌ ÀÚµ¿À¸·Î Ãë¼ÒµÉ ¼ö ÀÖ½À´Ï´Ù.
Ãâ°í°¡´É ½Ã°£ÀÌ ¼·Î ´Ù¸¥ »óÇ°À» ÇÔ²² ÁÖ¹®ÇÒ °æ¿ì Ãâ°í°¡´É ½Ã°£ÀÌ °¡Àå ±ä ±âÁØÀ¸·Î ¹è¼ÛµË´Ï´Ù.
À¯ÅëÀÇ Æ¯¼º»ó Ãâ°í±â°£Àº ¿¹Á¤º¸´Ù ¾Õ´ç°ÜÁö°Å³ª ´ÊÃçÁú ¼ö ÀÖ½À´Ï´Ù.
Åùè»ç ¹è¼ÛÀÏÀÎ ¼¿ï ¹× ¼öµµ±ÇÀº 1~2ÀÏ, Áö¹æÀº 2~3ÀÏ, µµ¼, »ê°£, ±ººÎ´ë´Â 3ÀÏ ÀÌ»óÀÇ ½Ã°£ÀÌ ¼Ò¿äµË´Ï´Ù. |
|
|
|
|