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Art of Problem Solving Prealgebra Word Problems Part 3

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Math Videos for Algebra & Pre-Algebra at Farm School

Prealgebra is the bridge between arithmetic and algebra

Factoring Polynomials (polynomials are monomials added together)

  • Departure of Squares

    • Watch Mario cistron some difference of squares issues: https://www.youtube.com/watch?v=Up8Zllvii90

    • Watch Richard from AoPs factor some difference of squares problems. https://www.youtube.com/sentinel?five=rXzcW0WTeWs & Basic Difference of Squares problems with Richard from AoPs. Using difference of squares factorization to solve bug.

    • Math is visual Deviation of Squares video https://www.youtube.com/scout?5=3X2Pp2FOwCY

    • Walk through uncomplicated difference of squares problems and harder ones with ProfRobBob's 15 infinitesimal video— sometimes you aren't done factoring later on one ready of difference of squares. Sometimes there's a second departure of squares lurking in the factors. Written explanation of deviation of squares problems

    • Slightly harder Deviation of Squares and some other short video with slightly harder problems

      1. 1st Await for a GFC (greatest mutual factor)

      2. Look for a difference of squares OR a squares of binomials

      3. You might demand to simplify and them combine like terms

    • This AoPs video is showing how we tin utilize departure of squares to solve interesting word Math Counts problems. Information technology gets particularly cool when he gets to minute ix. Here's another Math Counts video — spring to minute 4:32 —showing how recognizing a difference of squares can help you lot solve problems quickly

  • Factoring Perfect Square Trinomials which are really Squares of Binomials in disguise (a + b)^2 = a^two + 2ab + b^2 or (a-b)^ii =

    • Mario factors a few issues

    • Richard from AoPs shows us how to squares of binomials 10 minutes

  • Factoring 4 terms by grouping

    • Mario 2 minutes https://www.youtube.com/picket?v=VYUhUeeD_Z0

  • Factoring quadratic trinomials

    • DIAMOND & BOX METHOD

      • Using the diamond/box method with Mario (3 minutes)

      • If you need a refresher, y'all can watch this two minute diamond and box method video https://www.youtube.com/sentry?v=GV9lppYweQ8 )

      • Diamond Method and Box Method (aka Corner Piece method) https://www.youtube.com/lookout?v=cvaW5p0vSzw with Diana Hang 2 minutes

      • Some other sample trouble using the diamond and box method https://www.youtube.com/lookout man?v=ekvAgTdTCCg with Diana Hang 2 minutes

    • The "Split up method" : https://www.youtube.com/watch?five=JlxV8qFPq7I byMath Mashup viii minutes

    • Sort of judge and bank check method AoPs Factoring Quadratics Role one x minutes - guess and bank check,

  • Summary of many different ways to gene polynomials: Summary of 4 types of factoring polynomials with Mario

Solving Systems of equations (two variables, two equations— archetype dimes and nickels problems)

  1. Exchange Method

    • AoP Solving systems of equations with substitution

    • Optional: another an optional video on using the substitution method (solving for one variable and so substitute in or plug in that expression whenever you see that ane variable: every bit is g + f = 30, so f= 30- thou, —> plug or sub in (30-g) wherever you lot meet f in the other equation.)

    • Optional: video on using substitution to solve equations with two variables (he also shows you how to practise the "emptying" method which we oasis't learned yet)

  2. Elimination Method

    • Educatee & adult tickets problem with Mrs. Milkosky: https://www.youtube.com/watch?v=OrT71LqwlYw

    • Pounds of different nuts problem with Mrs. Milkosky https://world wide web.youtube.com/lookout man?v=hsqFKM2iOAc

Society of Operations review bug

  1. She calls it GEMDAS (Grouping symbols instead of parentheses) https://www.youtube.com/watch?v=kQp1ZpvBVVo

Altitude x Rate = Fourth dimension Issues

  1. Move in Opposite Directions (Either moving toward or away from each other- aka come across or pass each other as heading towards each other or flying away from each other.)

    • A - 7 minute video from My Math Source . Does it matter if the objects are traveling towards each other or abroad from each other?

    • B - Traveling in opposite direction RT = D problem video with Mario — similar to case 1 on page 167 of Alg 1 Structures and Methods (2.five minutes)

    • C - Traveling towards each other (run into or laissez passer each other problems) iv-5 minutes west/ animation https://www.youtube.com/scout?v=PwvQL9wBOVI

    • D - Lookout man this video. Pause and try to practise each step before the dude in the video does it. (Read the problem. Read it once again and draw a picture every bit you read and write down what you know and what the problem is asking. Then set up your chart. Write out a phrase for the equation. And then write out the equation. Finally, solve it.)

    • Eastward - Watch this video: https://www.youtube.com/watch?v=mRVwgf8PgfA

  2. Motion in Same Direction (a.k.a. overtaking problems)

    • A —Traveling in the same direction video from My Math Source

    • B - another video case Mr. Kumar's explanation of how to figure out how to ascertain the variables is actually expert. (8 minutes)

    • C -Traveling in the aforementioned direction problem video with Mario - similar to example 2 on folio 168 of Alg 1 Structures and Methods (oft the distance both objects travel is the same)

  3. Motion Circular Trip Problems

    • A - Video from My Math Source

    • B - this is a totally unlike way of solving the problem when you have two variables, called system of equations method. Nosotros'll become to this later in our book. Traveling circular trip with Mario - similar to example iii on folio 169

Geometry: Similar Figures

  1. What does similar hateful? How is that unlike from congruent? Video Similar v. coinciding (Math eight chp 4.iii)

  2. Using proportions to discover missing measurements in similar figures short video. Here's a longer one (11 minutes) if you need more examples from Organic Chemistry Tutor (Math 8 chp four.iii)

  3. Corresponding parts in coinciding polygons- nine minute video on corresponding parts in congruent polygons: https://www.youtube.com/watch?v=aG7KcNNoe5I )

Geometry: Transformations

  1. Overview of three transformations (reflections, translation, rotation) which don't alter the size so these volition exist coinciding (5 minutes): https://world wide web.youtube.com/watch?5=7cduccqwguM

  2. Dialation— does modify the size!

    • a. Math Mash upwardly video

    • b. Intro to dilations (ix minutes) from JoAnn'southward school

    • c. Detailed video on dilations with definitions of terms and examples (xix minutes) from the Magic of Math

  3. Rotation

    • a. math mash up https://world wide web.youtube.com/watch?v=NhtTKhP3d6s

  4. Overview of translation, rotation merely LOOONG (45 minutes) from Organic Chem Tutor

  5. Transformations (reflections, rotations) Chp 5.6 Read examples on page 226-228. Practice #vii-25 odds

    • Basic review- 19 minute overview https://www.youtube.com/scout?five=2JXkTMyiHa0

    • Optional review videos: these other reviews are optional but helpful videos on "rigid transformations:

      • translations: https://www.youtube.com/sentinel?v=_UMK0ApUZa0 from Joann's Schoolhouse

      • reflections: https://world wide web.youtube.com/watch?five=8HJB93N4QoU from Joann's School

    • Optional videos on how to transform shapes algebraically

      • Translations (slides) how to effigy this out algebraically - this like Instance i in 5.6 https://www.youtube.com/spotter?five=fZ4eQGw9t4I

      • Reflections - this is like Case ii https://www.youtube.com/lookout?v=-fG1ud1gT6g

      • Rotations - This is like Example iii https://www.youtube.com/watch?v=EwkOQWG3o50

  6. Determining if a shape is similar or congruent: If you need a video review on how to decide if yous're looking at a like tranformation (same shape (same angles and side proportions) but not the same size) or if you're looking at a congruent shape (exactly the same but in a different position or orientation), here's a helpful video: https://www.youtube.com/scout?5=V80UfaC8syg

Geometry: Angles

  1. Bending basics from Math Antics and Angle Review (vertical, complementary, supplementary etc ) w/ Ms. Merkins https://www.youtube.com/sentry?v=M7ToxgRvKx0&list=PLJM2N9UmkFqhRi05TkVVWbGTNMYLQvide&alphabetize=5

  2. Richard from AoPs explain straight angles (a.k.a. a straight line) https://world wide web.youtube.com/sentry?v=EjTaOODJTVg

    • After Richard writes the supplementary angles problem on the board, interruption the video and try to describe a picture of the problem. Unpause. Then effort to write an equation before he does. Then once he'south written the equation, suspension the video and YOU solve for "c" and then effigy out the measurement of each angle before he does. Then watch him and correct your work.

    • Do the same when he writes the vertical angle trouble on the board.

  3. Supplementary & complementary angles from Mr. J

  4. Angles & Parallel lines: Richard from AoPs solve issues involving angles and parallel lines Try pausing the video when he starts to do a trouble and and meet if y'all tin can depict it out, write the equation and solve it. Unpause after you practice each footstep to see if you are on the right track.

  5. Harder supplementary bending problems with variables and equations

  6. Much more than complicated angles when there are parallel lines with a transversal cut across two parallel lines with Mario

  7. Another sample of finding angles when parallel lines are cut by a transversal https://www.youtube.com/watch?five=uOrXWJQ8vWA&list=PLCqwggKH0w8b3J9_iGeax3huTLTBxl-iS&index=2


Linear Functions

  1. How to determine if an equation or set of information represents a function? Four ways to make up one's mind if an equation or set of ordered pairs represents a FUNCTION here

  2. Input & Output Tables Math Antics Video about functions inputs & output table

Function Annotation

  1. Overview of function notation 10 minute video past Kevin Dorey https://www.youtube.com/spotter?five=lVUeWKIiypM )

  2. 4 infinitesimal Mario math tutor video https://www.youtube.com/scout?5=_e0EdFGpcvc and exercise problem two before he does them. Example four is like problem 29 on page 381

  3. More than avant-garde examples f(g+2)=blah blah https://www.youtube.com/watch?v=8wYVB7Jgo40 by Math WOEs

Basic Linear equations & Graphing

  1. Graphing on a Coordinate Plane Math Antics Video about Graphing on a Coordinate Plane

  2. Rate of Change How to effigy out what the rate of change is from a table of 10's and y's. Charge per unit of change video from Brian: ii minutes https://world wide web.youtube.com/watch?5=vFXXStHpfaQ & optional 4 minute video https://www.youtube.com/picket?five=6cqQzI3RrqQ&list=PL0G-Nd0V5ZMrdoj-MFw0FR7CSAAON0gU0&index=3

  3. Does a given ordered pair stand for a solution to this linear equation? (Math eight Section 2.one) Is a given ordered pair a solution of a linear equation?

  4. Slope of a line & Slope-intercept course y=mx + b

    • Equation of a line, slope intercept form, functions, perpendicular lines & horizontal lines Math Antics Nuts of Linear Functions

    • Math Antics Slope and Distance of a line (slope = Rising / RUN or change in y over alter in x or )

    • How to graph a line when you have an equation in y = mx + b or slope-intercept form. WATCH this video.

    • 2 Videos from Richard of AoPs

      • How to calculate gradient. Richard reminds the states what slope is and how to find it (10 minutes). https://world wide web.youtube.com/watch?v=5z6IduhkeF0 (take notes for PENTAGON extra credit points)

      • Richard walks the states through positive and negative slopes, slope of a horizontal line is zero (y=some number), vertical line has an undefined slope, steepness of slope, what does a line with a slope of one expect like? (ten minutes) https://world wide web.youtube.com/watch?v=Nl0AAmARm18

  5. Horizontal & vertical line slopes:

    • What is the equation of a horizontal line? of a vertical line? Mario's Math Tutoring on equation of the horizontal and vertical lines

  6. How to observe the 10 & y intercepts of a line?

    • Organic Chemistry Tutor ix minutes (after 9 minutes it's an ad for his algebra courses): https://www.youtube.com/lookout man?v=_-LvA1xlQLs

    • Watch this 13 minute video with Prof. Rob https://www.youtube.com/watch?5=xyVJZKu7Euw&list=PLGbL7EvScmU7ZqJW4HumYdDYv12Wt3yOk&index=42

    • Optional: Joann explains how to find x & y intercepts visually https://world wide web.youtube.com/picket?five=sCcDHQyInRE

  7. Point-Slope Form 8.4

    • Richard of AoPs explains what Indicate-slope form means and can do for us (9 minutes) https://world wide web.youtube.com/watch?v=xa_QG-dZEjo

    • Mario'due south math intro to point-slope form (two minutes) — pause the video and try to do problem 2 before Mario does it. https://www.youtube.com/watch?v=SqFj06Y3tl4

      • Optional additional video: Organic chem tutor intro to Betoken-Gradient Form https://world wide web.youtube.com/watch?five=XzG-fi__hsU

  8. Parallel and Perpendicular lines: what'due south the relationship between the slopes of these lines?

    • Prof Rob https://world wide web.youtube.com/watch?v=ECljEiIgX_M&t=0s

    • slope of parallel and perpendicular lines Watch this video This is advanced and you won't be doing the stuff at the cease of side by side year just it's cool.

  9. Direct Variation y=kx (Math 8 chp 8.5)

    • 11 minute video by Victoria Miles: https://world wide web.youtube.com/watch?five=fVGQIOrVXls

    • PENTAGON: Lookout man Straight variation word trouble example with Mario Direct Variation Word Problem Example - YouTube

  10. Longer Summary (30 minutes) of Linear equations (formats, slope, ) with Organic Chemistry Tutor https://www.youtube.com/watch?v=Ft2_QtXAnh8

Elementary interest compounded annually (Interest Rates & Residue of Account)

  1. Calculating Unproblematic Involvement: Interest = Prt video by Mario on simple interest and

  2. Solving for the account residue (A) or R or T or P. The first 7:30 minutes of this video are besides practiced —> organic chemistry tutor do several unproblematic interest problems including ones where you are solving for the rate (r) or t (time in years to earn a certain amount of interest). Note yous tin stop watching after effectually 7:30 every bit the concluding 3 minutes is an advertisement for an algebra grade)

Percent

Percent of Change (Percent increase or percent decrease)

  1. Introduction to percent with Richard from AoPs converting fractions into percents and percents into fractions without a calculator

  2. There are iii basic types of percent problems - picket Richard of AoPs review how to solve these iii basic problems.

    • What is this percent of that? Case What is thirty% of 120?

    • What percent of this is that? What percent is 88 of 33?

    • This is that percentage of what number? 42 is 150% of what number?

  3. If you are struggling, picket these ii good but long summaries of how to use proportions and translate sentences to equations to solve percent word problems with Dr. Dan

    1. Dr. Dan video #50 : How to translate the judgement into an equation https://www.youtube.com/watch?v=hYv63oei9Vo (28 minutes)

    2. Dr. Dan video #51:  https://www.youtube.com/watch?v=50cCWoIKon8 (28 minutes)

  4. AoPs percent word problems part i

  5. AoPs percent give-and-take problems function ii (This is a PENTAGON level video. These are harder problems and bear witness mistakes commonly made past students and adults.)

  6. Lookout this Math Antics Pct Change video 

  7. Sentinel this Art of Problem Solving Per centum Change or Increase or Decrease video part 1

Rates, Ratios, and Proportions

  1. GAME: Equivalent ratios - space invaders equivalent ratio game from MathGameTime.com

  2. Become a preview of rates and ratios with this Math Antics video: https://www.youtube.com/scout?five=RQ2nYUBVvqI

  3. Introducing ratios by Richard of AoPs https://world wide web.youtube.com/watch?v=6ItURzd64WE&list=PLqiSsHAcyf9cJfapnn3i5nuMFIu4JXfrW

  4. Ratios- Parts & Wholes by Richard of AoPs https://world wide web.youtube.com/lookout man?5=z7aYEexTb7Q&list=PLqiSsHAcyf9cJfapnn3i5nuMFIu4JXfrW&index=2

  5. Ratios - Multi part ratios by Richard of AoPs https://world wide web.youtube.com/watch?v=Lkw4Slh4uRg&list=PLqiSsHAcyf9cJfapnn3i5nuMFIu4JXfrW&index=3

  6. Proportions:

    • Intro to solving proportions with cross products? Scout this Math Antics Proportions video (10 minutes)

    • Give-and-take Problems with proportions. How to set up a proportions when reading word issues? Watch Richard from AoPs set upward proportion (equal ratios are called proportions) (Annotation at infinitesimal half-dozen he "clears" the fraction by multiplying by 2 and then he doesn't have to accept a fraction in the numerator.) He calls method i finding an equivalent ratio "scaling it upwards by a factor of _____"

Fractions

  1. Introduction to fractions - Art of Problem Solving (AoPs) Prealgebra Chapter 4.1 :

  2. Multiplying Fractions

    • Math Antics - Multiplying Fractions

    • Multiplying mixed numbers (integer and fraction) from Math with Mr. J

    • AoPs Prealgebra Chapter four.2 - Multiplying Fractions This is essential a proof of why you tin can multiply the numerators and then multiply the denominators

    • AoPs Prealgebra Chapter 4.2 - Of Means Multiply fifty-fifty when dealing with fractions equally in What is three/iv of 72?

    • Multiplying Fractions the lazy/fast/Math Wiz fashion AND why this works (sort of a proof) AoPs Prealgebra https://www.youtube.com/watch?5=8EwzlwGTfFg&listing=PLqiSsHAcyf9fu2y6X9dOM9bvoRDlFZTK5&index=7

  3. Dividing by a Fraction

    • Math Antics: Dividing Fractions

    • AoPs Prealgebra Chap iv.3 (recollect the reciprocal of any number including a fraction —> flip the number or fraction over) https://world wide web.youtube.com/picket?v=j8e7UV_x5Jg&listing=PLqiSsHAcyf9fu2y6X9dOM9bvoRDlFZTK5&index=4

  4. Simplifying fractions

    • Math Antics https://www.youtube.com/scout?v=AtBUQH8Tkqc&list=PLr7qXmZNC_A-i6B7zBWsi7IkqVzd2Ed-I&index=1&t=250s

    • AoPs Prealgebra Chap 4.5 Simplest Form of a Fraction https://www.youtube.com/watch?v=wheRbbTGZWA&list=PLqiSsHAcyf9fu2y6X9dOM9bvoRDlFZTK5&alphabetize=5

    • Why can we cancel??? Scout Richard of AoPs explicate/show why https://www.youtube.com/watch?v=fWQptuv60Zk&list=PLqiSsHAcyf9fu2y6X9dOM9bvoRDlFZTK5&alphabetize=half-dozen

  5. Equivalent fractions

    • https://www.youtube.com/sentry?v=P056eG02WiM MooMooMath and Scientific discipline video

    • Percents and equivalent fractions - Math Antics https://world wide web.youtube.com/watch?v=kmVfZ9o-2gg

  6. Comparing Fractions using number lines

    • AoPs Comparing Fractions Part ane

    • AoPs Comparing Fractions Function 2

  7. Easiest Common Denominator - Math Antics https://world wide web.youtube.com/scout?v=N-Y0Kvcnw8g&listing=PLr7qXmZNC_A-i6B7zBWsi7IkqVzd2Ed-I&index=4

  8. Lowest Common Denominator - Math Antics https://www.youtube.com/sentinel?v=pZEmFSP3Z0I&list=PLr7qXmZNC_A-i6B7zBWsi7IkqVzd2Ed-I&alphabetize=3

  9. Adding & Subtracting Like Fractions - with same denominator

    • Same Denominator or "Like Fractions": This is a proof from AoPs explains why you can but add together the numerators (tops) when the denominators are the same (lesser) Aforementioned Denominator

  10. Adding & Subtracting Unlike Fractions - with Different Denominator —Adding fractions with different denominators from AoPs

  11. Adding Mixed numbers

    • Math Antics https://www.youtube.com/watch?v=pynfj2bYRms

    • Harder mixed number bug: Sentinel this i mixed number addition with Richard from AoPs

  12. Subtracting Mixed numbers

    • Unproblematic way—> plough everything into IMPROPER NUMBERS Math Antics https://www.youtube.com/watch?v=RqUPSZLwHH0

    • Clever way (FASTER) if you tin can handle the distributive belongings to deal with subtraction and negative numbers and mixed numbers, a.k.a how to separate out the integers and fraction separately. There's a trick to this— apply the distributive property to distribute the negative when subtracting. If you chief this it's a faster way to subtract mixed numbers! Mixed number Subtraction with Richard of AoPs

  13. Using Multiplicative Inverses (aka reciprocals) to solve equations with fractions faster

    • Wait, what's a multiplicative inverse? It's the reciprocal!

    • 9 Minute video showing how to do this

  14. Clearing Fractions from an equation past multiplying past a common denominator or by the reciprocal

Solving Linear Equations and Simplifying Expressions

  1. Simplifying expressions (combining similar terms) with Richard on this AoPs video (simplifying expressions)

  2. Adding and Subtracting Polynomials: Sentinel video on how to practise problems like this (4x + 6) - ( 2x + y - 10). Adding and Subtracting Polynomials by Organic Chem Tutor Pay attention to what he does at infinitesimal 1:40

  3. Solving linear expressions such equally ten + viii = thirteen

    • Math Antics video https://www.youtube.com/watch?v=l3XzepN03KQ

    • with Richard in this AoPs video (solving linear equations role 1)

  4. How to solve equations like this 3x = 21 or 7 = west/9 (i.e. two step linear equations)

    • Math Antics video https://www.youtube.com/sentinel?v=Qyd_v3DGzTM

    • And saving steps past multiplying past reciprocal) with Richard from AoPs (solving linear equations part two)

  5. Solving two-step linear equations such as 4x + 8 = 13 with Richard from AoPs (solving linear equations part 3)

  6. Solving linear equations with fractions role one with Richard from AoPs (includes clearing fractions method): https://world wide web.youtube.com/lookout?5=BtWX9kSNWrc&listing=PLqiSsHAcyf9fcLxIYtr0mQfqyOOtLJmJ1&index=7

  7. Solving linear equations with fractions part ii with Richard from AoPs (as well includes clearing fractions method to knock out the fractions): https://www.youtube.com/watch?v=aW4fKupD0eQ&listing=PLqiSsHAcyf9fcLxIYtr0mQfqyOOtLJmJ1&index=8

  8. Solving linear equations - special cases with Richard from AoPs: https://www.youtube.com/watch?v=yPWu02VnGxM&list=PLqiSsHAcyf9fcLxIYtr0mQfqyOOtLJmJ1&alphabetize=9

Statistics

Fine art of Trouble Solving Prealgebra Affiliate 13

  1. Mean, median and mode: spotter either this Math Antics video near mean, median, style or this Fine art of Problem Solving video about the same topic Intro to Average (mean), Median & Manner (6 minutes)

  2. AoPs video another way to think about Averages (8 minutes)

  3. BONUS: AoPs video on the limits of basic statistics (part 2)—(11 minutes) sometimes the question is impossible!

  4. BONUS: AoPs video on the limits of basic statistics part iii (nine minutes)

  5. AoPs video on Bar Charts and Pie Charts

  6. AoPs video on Line Graphs

  7. Box and Whisker Plot by Mash Up Math: how to construct a box and whisker plot using a table of data AND how to analyze the box and whisker plot

    • A. Simple video on How to make a Box and Whisker Plot without worrying about outliers in data ready 3 minutes

    • B. Box and Whisker Plot: How to make a box and whisker plot (Organic Chemistry Tutor) 13 minutes— this one is complicated because he shows you how to summate if whatsoever numbers are technically outliers. This is beyond what yous'll demand to know how to do in prealgebra, but it'southward notwithstanding absurd to see the details of how to practice it.

  8. Stem and Leafage Plot review 3 infinitesimal video past MySecretMathTutor

    • More advanced stem and leafage plot 13 minute video

  9. Scatter Plots (math viii chp 9.1 & 9.2)

    • What is a scatter plot? How to make it? Magic of Math video- do the issues when the instructor tells you to exercise then! https://www.youtube.com/watch?v=hKNFn2E2biw

    • Boosted videos on basics of scatter plots and correlation a) 24mathGuy https://www.youtube.com/watch?v=lL7q-DBvacg b) Joann Video https://www.youtube.com/sentinel?v=lA6yDZcnWvs

  10. Chp 9.ii Scatter Plots and Line of Best Fit

    • Watch this video: Models Magic of Math video https://world wide web.youtube.com/lookout?5=hNUV2sH3tPA&list=PLIa7w81Zp_7wXewiDi95QAMSUcTxd0k3h&index=five &

    • Predictions with lines of fit Magic of Math video https://www.youtube.com/lookout man?v=D2FGViDqDAo&list=PLIa7w81Zp_7wXewiDi95QAMSUcTxd0k3h&index=5

      • Additional videos: Mathcation video (10 minutes) https://www.youtube.com/watch?v=zLxRcUX_oMQ

      • Optional more than advanced videos r as a correlation coefficient https://www.youtube.com/watch?v=-Y-M9aD_ccQ

Exponent Laws

Art of Problem Solving Prealgebra Chapter two

  1. Summary: Laws of Exponents from Math Antics: https://www.youtube.com/scout?five=LkhPRz7Hocg Write these rules down (again— you lot should already have them in your notes) Notation- cleaved link was fixed on 1/19/21

  2. Division and Exponents— hither's a simple video on dividing with variables https://www.youtube.com/watch?v=_DQ7vs5tdUQ

  3. Math Antics video explains patterns: x to 0 power is? and how to "disengage" exponents and roots https://www.youtube.com/watch?v=S3IEeCyUWWA

  4. AoPs Multiplying squares— "Production of Squares"

  5. AoPs Dividing squares - "Quotient of Squares"

  6. AoPs how to find the next perfect square when you know the one earlier information technology "Square of a Sum" ( = a² + 2a +ane draw a square and add some other column, row and 1 more than foursquare)

  7. How to estimate an non-perfect foursquare like square root of 61 WITHOUT a calculator: Magic of Math https://www.youtube.com/watch?v=bxRT-byKd90&list=PLIa7w81Zp_7wQivt4auzylmrZUlE7UrE2&index=55 How to Guess Square Roots WITHOUT a Reckoner -Grade 8 Math from The Magic of Math

  8. AoPs What are the exponent rules? Deriving the exponent rules. Then, can we use exponent rules to brand a problem easier to solve? "Same Base Exponent Rules" at five:10 try to solve the problem, then watch Richard the math wiz solve information technology.

  9. AoPs Sample Exponent Rule problem. Stop the video at 0:15, write down the problem and utilise your exponent rules (aka Laws of Exponents) to solve the problem. Hint: write these in terms of the same base. And so watch Richard the math wiz solve it. Then look at problems 2.19a,b,c in AoPs Prealgebra text p. 71. Do those problems and bank check your answers.

  10. AoPs What does three to the zero ability hateful? "Zip every bit an Exponent"

  11. AoPs "Negative exponents Introduction" Later on watching this video, turn to folio 78-9 in AoPs Prealgebra text and do problems 2.28-2.xxx. Check your answers in the text on pages eighty-82

  12. Scientific Note What is it? Math Magic video: https://www.youtube.com/watch?v=7Mi3cZwixIA&list=PLIa7w81Zp_7wQivt4auzylmrZUlE7UrE2&alphabetize=28

  13. Scientific Notation - how to add, subtract, multiply and split in scientific notation Math Magic "How to Perform Operations in Scientific Notation . . . How to Add, Subtract, Multpliy & Divide"

  14. Bonus: AoPs "Reciprocals and negative exponents" Pause the video at 1:38 and do the problem so watch Richard's solution. (Reciprocal of a reciprocal returns the original number)

  15. Bonus: AoPs "Exponent Rules with Negative Exponents" Pause the video at 0:20 and try to simplify the expressions and then you tin compare them. Subsequently, picket Richard solve the trouble. After watching this video, turn to page 79 in AoPs Prealgebra text and practice problems 2.31-2.35 then cheque your answers on pages 82-86

Absolute Value

  • MathAntics video demonstrating how absolute value is distance between a number and goose egg or sometimes distance between ii numbers. Watch Math Antics' 13 minute video here. Information technology also addresses guild of operations and absolute value.

Multiplication

Distributive Property in Arithmetic

  1. MathAntics: https://www.youtube.com/lookout man?v=VZ0jG3W53nE how to practise the distributive holding and WHY the distributive property helps you do hard problems more easily. Note: in this video, to evidence multiplication they employ "x" not " · " In your homework utilize " · "

  2. AoPs Introduction to "Distributive Property" Prealgebra Video At minute 3:10, suspension the video and exercise the trouble on the screen before Richard, AofP math wiz, does.

  3. Why is repeated addition chosen multiplication? AofP "Repeated Addition" Prealgebra Video

  4. AoPs "Distributive Property and Subtraction" Prealgebra Video At minute ii:16, break the video and do the problem on the screen before Richard, AofP math wiz, does. Add together again break the problem at minute 3:22 and attempt the problem before Richard does. Hint: can you write the big number equally 1,000,000 minus something?

Multiply and Dividing Positive & Negative Integers

five. Math Antics video on multiplying and dividing positive and negative integers (10 minutes)

Algebra Tiles & Expressions with variables and constants such as 3x² + 4x + 7

What are Polynomials?

  1. What are Polynomials? by MathAntics: https://www.youtube.com/sentinel?5=ffLLmV4mZwU This video reviews what monomials, binomials, trinomials and polynomials

Distributive Property in Algebra

ii. Sentinel this video on the Distributive Property in Algebra by MathAntics: https://www.youtube.com/picket?v=v-6MShC82ow

3. Spotter this harder algebra video nearly the distributive property  https://www.youtube.com/sentry?v=T0a92gEDukY Pause the video and try 1 of the hard issues when the teacher tells you to do so. Then right your respond. (These issues are from Integrated Math 1, i.e. 9th form math. Pat yourself on the dorsum if y'all're starting to get this. Don't sweat information technology if these challenge problems are challenging.)

Simplifying Expressions with Similar Terms

4. AoPs "Combining Like Terms with Multiple Variables"

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