Elementary Mathematics

Converting to other bases video.

For each problem, draw a diagram using units, flats and longs.  And then write what you have.  EX: 214 = 2 flats, 1 long, 4 units.  So drawings and words.1)     142)     41 3)     234 4)      63 base eiight5)       21 base four6)    472 base elevenJust for kicks, TRY to solve these base five numbers1)      12 base five + 22 base five2)       24 base five + 13 base five

1) 24 base 6 to base 102) 63 base 7 to base 103) 13 base 11 to base 104) 351 base 8 to base 105) 423 base 5 to base 10 6)32 base 10 to base 57)53 base 10 to base 38) 64 to base four9)  143 to base five10)  327 to base six11)  (23 base five) + (21 base five)12)  (42 base six) + (15 base six)13)  (54 base eight) + (46 base eight)

P. 142 (2)P. 144 (5, 7, 11, 12 a, c)Use Expanded form to add238 + 461Use Lattice to add348 + 4747 + 68Use Left to right or partial sum532 + 341472 + 139

20 x 410| 200 | 40 | 5| 100 | 20 | 200+100+40+20=360

±±±=0+#'s cancel out with -#'s to create zero bank. Use during subtraction problems when the first number is smaller than the number it's being subtracted from.

12-(-6) K C C12+(+6)Now able to use diagram(only can be used with addition)

Distance a number is away from zero.

Rational number: Any # that can be written as a ratio.Irrational number: any # that can't be written as a ratio. Ex. π or square root of 2.

3 x 10^-5

.00003

Week 6 Prime vs Composite   Divisibility Rules/determine if a number is prime.GCF/LCM  Different methods        Color Rods, Number Line, Intersecting Sets, Factor Trees, Upsid- down Division, Division by PrimesGCF/LCD Continued   Prime Factorization      Factor Trees, Upside down division, intersecting sets (Venn Diagram or Double Bubble)Week 7Integers   Represent a #   Zero banks   Add/Sub   Multiply/DivideIntegers   Subtraction       Tiles       KCC w/diagrams   Absolute ValueIntegers with numberlinesMultiplication      Tiles      RulesWeek 8Multiplying Integers   ShowMultiplication/division   RulesMultiply Integers Using # LinesDistributive Property w/ Integers    Generic Rectangles (connect to base ten blocks)Distance of Squares Formula    Multiplying binomials w/ integers     Generic Rectangles. (connect to base ten blocks)Week 9Review Multiplying binomialsDifference of SquaresFactor 1 Story ProblemsRational-irrational numbersScientific Notation

Why do we need to find common denominators when we add and subtract fractions, but not when we multiply?  What does the numerator and denominator of a fraction tell us?-Numerator: pieces you have, denominator: tells size of pieces. Comparing fractions   Less than, Greater than, or equal to.-finding which side of a half the fractions compared are on-Big denominator pieces will be very small, compared to small denominator.-Draw rectangle not circle.Equivalent fractions-finding the onesSimplifying fractions

Add/Sub with modelsMultiply with models3 models: linear, set, and area.

Similar to adding fractions but only counting the double shaded pieces as the numerator.

Similar to adding fractions but only counting double shaded pieces as the numerator.

Can't group the whole #'s! Must use the C method to make improper fraction, Simplify FIRST!

Total # / # of groups = # in each group. To show, draw the total # then group that to get the answer.

Only time to use the C- multiplying denominator by the whole number plus the numerator. Then KCI or KCF. Simplify, then solve like multiplication.

G (Grouping)E-xponentsMD mult./div. interchangibly.AS Add/ subFind groups of numbers, not look for ()