Math Help Links 2 links for Synthetic Division: http://www.youtube.com/watch?v=3lVLhZ3ds-8 http://www.youtube.com/watch?v=lLgRS0mUZLw Remainder Theorem : The short cut http://www.youtube.com/watch?v=KTvQXspWhbM http://www.youtube.com/watch?v=q57NU29KNGw Randy Johnson explains Remainder Theorem AND FACTOR THEOREM (and real zeroes/what makes y zeroes): http://www.youtube.com/watch?v=_IPqCaspZOs Conjugate Pair Theorem- Remember that these always come in pairs: http://www.youtube.com/watch?v=ZQjq-o9ZBek Now putting it together for Submission 21 http://www.youtube.com/watch?v=WfQTEKb2k5I Link to distributive property http://www.youtube.com/watch?v=3NHSwiv_pSE And this is a follow up http://www.youtube.com/watch?v=wTuMU2B6MF4 One Step Equations, solving linear http://www.math-play.com/One-Step-Equation-Game.html One step and multistep equations http://www.bing.com/videos/search?q=mathbyfives+solve+equations&q s=n&form=QBVR&pq=mathbyfives+solve+equations&sc=0-12&sp=1&sk=#view=detail&mid=E6F69AA97EE9DA83E643E6F69AA97EE9 DA83E643 http://www.bing.com/videos/search?q=Solving+Equations&Form=R5FD0#view= detail&mid=52282012925CEDBFC30B52282012925CEDBFC30B Dividing monomials: http://www.bing.com/videos/search?q=dividing+monomials&FORM=HDRSC3#view=detail&m id=D9E61461D8162CB52F07D9E61461D8162CB52F07http://www.bing.com/videos/search?q =dividing+monomials&FORM=HDRSC3#view=detail&mid=D9E61461D8162CB52F07D9E61 461D8162CB52F07 Simplifying Polynomials / Binomials / Monomials http://coolmath.com/algebra/algebra-practice-polynomials.html Foil Game: http://www.slidermath.com/rpoly/Polym4.shtml http://virtualnerd.com/algebra-1/polynomials-and-factoring/multiplydivide/foil-multiplicaton/foil-method-example-problem Simplifying rational expressions and simplifying algebraic expressions link Simplifying Rational Expressions http://www.youtube.com/watch?v=Zhqnz2ngAmI "Difference of Rational Expressions" and "Simplifying algebraic Expressions" Subtracting Rational Expressions: http://www.youtube.com/watch?v=BVnWbSLsuNMv Simplifying algebraic Equations http://www.youtube.com/watch?v=KL5mZ1gArQEhttp://www.youtube.com/watc h?v=KL5mZ1gArQE Links on multiplying and dividing rational expressions http://www.youtube.com/watch?v=-aZ0a7aMiPE This is for dividing rational expressions, but once you keep change flip you end up multiplying. http://www.youtube.com/watch?v=oUaIdqhCyTUhttp://www.youtube.com/watc h?v=oUaIdqhCyTU Link to parabola http://www.coolmath.com/algebra/11-graphing-quadraticsparabolas/index.html Go through all the things that happen to a parabola up to part 6. Here is a video if you prefer : http://www.youtube.com/watch?v=nLVwpHXGgX0 Link Systems of equations http://crctlessons.com/systems-of-equations-game.html http://www.mathwarehouse.com/algebra/linear_equation/systems-ofequation/solve-by-substitution.php http://www.algebra-online.com/online-algebra-solver/solve-system-of-equationsonline.html Link rational roots theorem factor theorem conjugate roots zeroes synthetic division solution 2 links for Synthetic Division: http://www.youtube.com/watch?v=3lVLhZ3ds-8 http://www.youtube.com/watch?v=lLgRS0mUZLw Remainder Theorem : The short cut http://www.youtube.com/watch?v=KTvQXspWhbM http://www.youtube.com/watch?v=q57NU29KNGw Randy Johnson explains Remainder Theorem AND FACTOR THEOREM (and real zeroes/what makes y zeroes): http://www.youtube.com/watch?v=_IPqCaspZOs Conjugate Pair Theorem- Remember that these always come in pairs: http://www.youtube.com/watch?v=ZQjq-o9ZBek Now putting it together for Submission 21 http://www.youtube.com/watch?v=WfQTEKb2k5I Link to parallel and perpendicular lines This guy is a little energetic, but he does a good job explaining. http://www.youtube.com/watch?v=xLdaGdZagSQ&list=PLTn154fKuktRpXAf9P_r nxaovZ5nF06dG http://www.bing.com/videos/search?q=parallel+lines&FORM=HDRSC3#view=de tail&mid=BAD74E568181B32DDE0ABAD74E568181B32DDE0A Link to Adding and subtracting rational expressions http://www.youtube.com/watch?v=FZdt73khrxA Link to factoring trinomials http://www.themathpage.com/alg/factoring-trinomials.htm Link inequalities http://www.mathsisfun.com/algebra/inequality-solving.html http://www.youtube.com/watch?v=17a443nL7Qw http://www.mathsisfun.com/algebra/inequality-solving.html Ratio proportion percent http://mathvillage.info/node/73 Part over whole equals percent over 100 http://www.amby.com/educate/math/4-2_prop.html Link for Solve by Factoring videos -5x2 + 10x + 15 = 0 See how five goes into the 5, 10 and 15. More importantly , you pull out a negative five to have a nice looking x squared term -5( x2-10x -3) = 0 Divide by negative 5 and you are left with x2-10x -3 =0 Now it is time to do this: http://www.youtube.com/watch?v=vVWm2gyROQQ to factor the x2-10x -3 and then set that to zero like this: http://www.youtube.com/watch?v=g6RnAY_VkMs And finally when you cannot get a one in front of x squared term: http://www.youtube.com/watch?v=kfcL6i4QjS0 Link to Order of Operations http://wn.com/Math_Made_Easy_Order_of_Operations#/videos Link solve solving graph graphing linear equations http://www.math.com/school/subject2/lessons/S2U4L3GL.html#sm2 Link to Absolute value inequalities http://www.regentsprep.org/regents/math/algtrig/ate2/absinequal.htm Link Fundamental Theorem of Algebra and dividing polynomials http://www.youtube.com/watch?v=KTvQXspWhbM And here is another good link with problems and solutions http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_t ut37_syndiv.htm Link to direct variation and indirect variation http://www.regentsprep.org/Regents/math/algtrig/ATE7/variation%20practice%20 1.htm http://www.bing.com/videos/search?q=patrickjmt+direct+variation&qs=n&form=Q BVR&pq=patrickjmt+direct+variation&sc=0-18&sp=1&sk=#view=detail&mid=C7853212FDD3CDAE4E89C7853212FDD3CDAE4E89 http://www.bing.com/videos/search?q=joint+variation+youtube+&qs=n&form= QBVR&pq=joint+variation+youtube+&sc=0-0&sp=1&sk=#view=detail&mid=54BD838BE97C415A1B2854BD838BE97C415A1B28 http://www.bing.com/videos/search?q=patrickjmt+direct+variation&qs=n&form =QBVR&pq=patrickjmt+direct+variation&sc=0-18&sp=1&sk=#view=detail&mid=E8FBCD49BD7876AF6902E8FBCD49BD7876AF6902 Function transformation square root http://mathispower4u.wordpress.com/2011/11/08/horizontal-and-vertical-shiftsof-the-square-root-function/ Finding reference angles http://www.analyzemath.com/Angle/reference_angle.html Link triangle inequalities and link similarityCheck out this link on triangle inequalities ( Submission 7): http://www.virtualnerd.com/geometry/triangle-relationships/inequalities-onetriangle/side-lengths-valid-example And this link for Similarity ( Submission 9) http://www.math.com/school/subject1/lessons/S1U2L4EX.html Link solve systems linear quadratic http://www.mathwarehouse.com/system-of-equations/how-to-solve-linearquadratic-system.php Link to determining if function one to one http://www.coolmath.com/algebra/16-inverse-functions/06-one-to-one-03.htm http://www.youtube.com/watch?v=nSmFzOpxhbY (First five minutes very helpful- then skip to 12 minutes 30 seconds) Functions and g(x) f(X) http://www.purplemath.com/modules/fcnops.htm Function even or odd http://www.purplemath.com/modules/fcnnot3.htm Link Arithmetic sequence http://www.coolmath.com/algebra/Algebra2/index.html#Algebra_2:_Sequences_ &_Series And here is a youtube link : http://www.youtube.com/watch?v=L2PTZFbkJVg This yoututbe link is really good, but it is 25 minutes long. You can break it up into ten minutes and 15 minutes. http://www.youtube.com/watch?v=JWFbKdnvpA4 Sequences and Series http://www.coolmath.com/algebra/19-sequences-series/index.html For number 5 in Ple drop box . Find the sum of the first 26 terms of the following sequence: 12, 18, 24 . . . I can tell this is an arithmetic sequence where 6 is added each time. So the formula to use is this: We know n is the number of terms AND THE PROBLEM tells us the first 19 terms. We know a1 is the first term. We still don't know an so we have to use this formula: where d is the difference each time ( I already said it was +6) an = 12 + (26 -1) 6 an = 162 . Time to plug that into now you plug in n, an and a1 to finish up =) Number 6 is done the same way. Sum of an infinite series http://mathematicsi.com/sum-to-infinity-geometric-series/ Geometric Sequences http://www.mathsisfun.com/algebra/sequences-sums-geometric.html Links on multiplying and dividing rational expressions "Product of rational Expressions." http://www.youtube.com/watch?v=aZ0a7aMiPE This is for dividing rational expressions, but once you keep change flip you end up multiplying. http://www.youtube.com/watch?v=oUaIdqhCyTUhttp://www.youtube.com/watc h?v=oUaIdqhCyTU Link to exponent rules http://www.mathsisfun.com/algebra/exponent-laws.html Link to point slope form http://www.youtube.com/watch?v=aQhb84bZDzw From point slope form to y intercept form http://www.mathwarehouse.com/algebra/linear_equation/point-slope-toslope-intercept-form.php Here are some things to remember: When you see anything written in y = mx + b (slope- intercept form), m is the slope and b is the y-intercept. So if you see y = 3x +2, the slope is 3 and the y intercept is 2. But it has to be written as y equals something x plus something. So if you have 3x + 2y = 12, you minus 3x from both sides to get 2y = 12 - 3x. Then you divide by 2 to get y = 6 - 3/2 x and switch things around to be y= -3/2x +6. Now you know m= -3/2 and b=6 ( or slope is -3/2 and y- intercept is 6) Here is a good link about this: http://www.mathwarehouse.com/algebra/linear_equation/point-slope-toslope-intercept-form.php Link to equation of a circle http://www.youtube.com/watch?v=JvDpYlyKkNU Link to Find equation of a line that goes through a point (given ) and has a certain point (given) http://www.youtube.com/watch?v=aQhb84bZDzw Link slope of line and graphing using x and y intercepts http://www.youtube.com/watch?v=R948Tsyq4vA http://www.youtube.com/watch?v=mxBoni8N70Y Link to fractions http://mrnussbaum.com/fractions-workshop/ Link coordinate plane and graphing linear equation Good description of coordinate plane http://www.youtube.com/watch?v=r16I6LB2YbQ http://www.bing.com/videos/search?q=coordinate+planes+and+linear+equation s&FORM=VIRE5#view=detail&mid=BA84EBEEA2D5B9D2E04DBA84EBEEA2D5B9 D2E04D http://www.youtube.com/watch?v=yEgdWM3EG_s Link completing the square http://www.youtube.com/watch?v=DJMH2F3GuIc http://www.bing.com/videos/search?q=completing+the+square&FORM=VIRE1# view=detail&mid=24CB5B1345B8DE3E778524CB5B1345B8DE3E7785 http://www.bing.com/videos/search?q=example+of+quadratic+formula&FORM= HDRSC3#view=detail&mid=254A6E054AEB758E0D80254A6E054AEB758E0D80 http://www.bing.com/videos/search?q=completing+the+square&qs=n&form=Q BVR&pq=completing+the+square&sc=8-17&sp=1&sk=#view=detail&mid=D9B0899AE8D5A13D6A16D9B0899AE8D5A13D6A16 Links Points lines planes angles Here is a favorite youtube link that will help you. Remember to TAKE NOTES in this class. The words you are hearing like "line, ray , angle, ....." are important. MAKE SURE you know how what symbols to use for each word. A line is two capital letters with double arrow on top of them . A ray is two capital letters with single arrow on top. Intro to geometry terms http://www.youtube.com/watch?v=il0EJrY64qE http://www.youtube.com/watch?v=JcqCf762y9w Link to factor trees http://www.softschools.com/math/factors/factor_tree/ Link to factor trees http://www.mathplayground.com/factortrees.html Link to decimals http://www.youtube.com/watch?v=-gB1y-PMWfs Link to parallel lines and planes http://www.virtualnerd.com/geometry/parallel-perpendicular-lines/paralleltransversals/parallel-lines-definition Link to adding fractions http://www.youtube.com/watch?v=yq12GE3U8bU Link to definition of line http://www.youtube.com/watch?v=nvAwZjk2i4M Subtracting Rational Expression http://www.youtube.com/watch?v=FZdt73khrxA Solving quadratic/linear system link http://www.mathwarehouse.com/system-of-equations/how-to-solve-linearquadratic-system.php Link rational roots theorem http://www.youtube.com/watch?v=YMyv9-9VXw4 Link Focus and Directrix for Students http://www.youtube.com/watch?v=ZJf9shWlMz0 Finding Focus, Directrix, and Focal Width https://www.youtube.com/watch?v=QsLYdyyUrNA How to find the directrix, focus and vertex of a parabola https://www.youtube.com/watch?v=SHIwqTD6GXE How to find the vertices and foci of an ellipse - Ellipse https://www.youtube.com/watch?v=km7Juq6uqE8 Area of Irregular Shapes video http://www.youtube.com/watch?v=ipjoTcPQXl0 Area of a trapezoid video http://www.youtube.com/watch?v=fyOKqQKpOvM Unit Circle http://www.youtube.com/watch?v=cIVpemcoAlY Graphing the tangent function with a change of period http://www.youtube.com/watch?v=f1Dz6Q2nVQE Mathispower4u (geometry stuff) Mr. McLogan’s Math Channel MySecretMathTutor patrickJMT MathByFives --------------------------------------------------------------------------------------------- Trigonometric Functions Graphs Amplitude Period http://www.regentsprep.org/Regents/math/algtrig/ATT7/othergraphs.htm Trigonometric Functions Phase Shift http://www.regentsprep.org/Regents/math/algtrig/ATT7/phaseshift.htm Law of Sines – Ambiguous Case http://www.youtube.com/watch?v=z2XAPkkDDrk Pythagorean Theorem http://www.showme.com/sh/?h=Nb7iTVQ Colin Dodds - Pythagorean Theorem (Math Song) http://www.youtube.com/watch?v=l8-bnZh8Zuc Links for Solids http://www.onlinemathlearning.com/surface-area-formula.html Perpendicular And angle Bisector http://www.youtube.com/watch?v=IoyYI5NFXxw Introduction to Proofs http://www.youtube.com/watch?v=jJDOyS4SrWA Links parallel lines transversal interior angle theorem exterior angle theorem sum of angles in triangle Submission 10 Hello ! Here are some links to Submission 10. Important vocabulary: Exterior Angle Theorem Parallel Lines Alternate Interior Angles Vertical Angles Supplimentary Angles Remote Interior angles Alternate Exterior Angles http://www.mathwarehouse.com/geometry/angle/parallel-lines-cut-transversal.php http://www.mrperezonlinemathtutor.com/G/1_2_Angles_in_Parallel_lines.html http://www.moomoomath.com/Exterior-angles-of-triangles.html Submission 11 Triangle Sum Theoerem http://www.virtualnerd.com/pre-algebra/geometry/triangles/define-triangles/triangle-sumtheorem-definition http://mysite.cherokee.k12.ga.us/personal/iona_strougo/site/ELA%20Standards/1/Triangle%2 0Notes.pdf Submission 12 Interior angle sum Exterior angle sum http://www.mathsisfun.com/geometry/interior-angles-polygons.html Interior angle sum : http://coolmath.com/lesson-interior-angles-of-polygons-2.htm Exterior angle sum : http://www.regentsprep.org/Regents/math/geometry/GG3/LPoly3.htm Triangle proofs: https://www.youtube.com/watch?v=FSJX0EMCZM0 Links Points lines planes angles Here is a favorite youtube link that will help you. Remember to TAKE NOTES in this class. The words you are hearing like "line, ray , angle, ....." are important. MAKE SURE you know how what symbols to use for each word. A line is two capital letters with double arrow on top of them . A ray is two capital letters with single arrow on top. Intro to geometry terms http://www.youtube.com/watch?v=il0EJrY64qE http://www.youtube.com/watch?v=JcqCf762y9w http://www.brainpop.com/math/geometryandmeasurement/angles/ Adding fractions unlike denominators http://www.mathplayground.com/fractions_add.html Lines and angles: Links Points lines planes angles Here is a favorite youtube link that will help you. Remember to TAKE NOTES in this class. The words you are hearing like "line, ray , angle, ....." are important. MAKE SURE you know how what symbols to use for each word. A line is two capital letters with double arrow on top of them . A ray is two capital letters with single arrow on top. Intro to geometry terms http://www.brainpop.com/math/geometryandmeasurement/angles/ http://www.youtube.com/watch?v=il0EJrY64qE http://www.youtube.com/watch?v=JcqCf762y9w Two and three dimensional figures: Links for Solids http://www.onlinemathlearning.com/surface-area-formula.html DIVIDING FRACTIONS http://www.bing.com/videos/search?q=dividing+fractions&FORM=VIRE1#view=detail&mid=6 DFFA336B989CEACA1066DFFA336B989CEACA106 http://www.bing.com/videos/search?q=dividing+fractions&FORM=VIR E1#view=detail&mid=6F16E48F3B4A3BBD70136F16E48F3B4A3BB D7013 Reflections http://regentsprep.org/regents/math/geometry/gt1/prac1.htm Parallel Vectors http://www.youtube.com/watch?v=AjKsGBAh4FQ Mathispower4u Indirect Proofs Here is an example from http://www.articlesnatch.com/Article/Indirect-Proof/538980: Indirect proof is a type of proof that begins by ASSUMING what is to be proved is FALSE. Then we try to prove that our ASSUMPTION is true. If our ASSUMPTION leads to a contradiction then the original statement which was assumed false must be true. Let me explain more in detail. Suppose you wish to prove statement A is true using an indirect proof. The first thing you do is: You assume statement A is false and assume statement A which is a contrary of statement A to be true. Then using valid arguments, you arrive at a contradiction (denial or disagreement) to statement A. Thus demonstrating that statement A is true. This concept will be clearer when you look at some examples. Example 1 Sarah left her house at 9:30 AM and arrived at her aunt’s house 80 miles away at 10:30 AM. Use an indirect proof to show that Sarah exceeded the 55 mph speed limit. Solution Suppose that the given statement is false. That is: Sarah did NOT exceed the 55 mph speed limit. She drove 80 miles at 55 mph. At this speed, Sarah would need 80/55 (approximately) = 1 hour 27 minutes to reach her aunts place. But as per the problem she drove from 9:30 AM to 10:30 AM exactly an hour. SO, she must have driven faster than 55 mph, which is a contradiction to our assumption that Sarah did NOT exceed the speed limit. Therefore, Sarah exceeded the speed limit. Mean Deviation http://www.mathsisfun.com/data/mean-deviation.html Accucess Math Fractions http://www.sheppardsoftware.com/mathgames/fractions/memory_fractions1.ht m Accucess Math Multiplication http://www.sheppardsoftware.com/mathgames/earlymath/multiplicationPicnic.h tm http://www.sheppardsoftware.com/math.htm#basicoperations Transformations geometry https://www.youtube.com/watch?v=r3lN_BADmPQ Dilations https://www.youtube.com/watch?v=fxcjA5A6SYE Normal Distribution: http://www.mathsisfun.com/data/standard-normal-distribution.html http://www.regentsprep.org/Regents/math/algtrig/ATS2/NormalPrac.htm Polar coordinates https://www.youtube.com/watch?v=-tZR3ggdoIU Vectors https://www.youtube.com/watch?v=EYIxFJXoUvA20