Memory Aid 2014. Prime and Composite Numbers Prime number has only 2 divisors: E.g. 17 has 1 and 17....
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Grade 7 Midyear Exam Memory Aid 2014
Memory Aid 2014. Prime and Composite Numbers Prime number has only 2 divisors: E.g. 17 has 1 and 17. Composite number has more than 2 divisors: E.g. 24
Prime and Composite Numbers Prime number has only 2 divisors:
E.g. 17 has 1 and 17. Composite number has more than 2 divisors:
E.g. 24 has 1,2,3,4,6,8,12,24 Factorization: the number written as
a product of factors. E.g. 24 written as 2 x 12 or 3 x 8 Prime
factorization: the number written as a product of its prime
factors. E.g. 24 = 2 x 2 x 2 x 3 or 2 3 x 3
Slide 3
Order of Operations (bedmas) 1. brackets 2. exponents 3.
multiplication 4. division 5. addition 6. subtraction 3 and 4 can
switch, 5 and 6 can switch
Slide 4
Cartesian plane
Slide 5
rounding Example: 875.2763 Round to the nearest hundred: 900
Round to the nearest ten: 880 Round to the nearest one: 875 Round
to the nearest tenth: 875.3 Round to the nearest hundredth: 875.28
Round to the nearest thousandth 875.276 Look at the number to its
right, if 5 or more add one and everything becomes zero after it,
if 4 or less dont change the number.
Slide 6
Exponents, square root 4 5 = 4 x 4 x 4 x 4 x 4 4 0 = 1 4 1 = 4
(-3) 2 = -3 x -3 = +9 (-3) 3 = -3 x -3 x -3 = -27 16 = 4 because 4
x 4 = 16 (opposite of exponent 2)
Slide 7
Point, line, segment, ray Angle bisector
Slide 8
Factor Trees for gcf anf lcm 7 2 2 2 GCF = 2 x 3 = 6 LCM = 2 x
2 x 2 x 2 x 3 x 7 = 336
Slide 9
Graphs 2 types of variables: qualitative (flavor or color) and
quantitative (height, age) Range = highest number lowest number
Mean = average (add all the numbers and divide by the number of
items) Median = middle number in a list when the numbers are in
order Mode = the number that occurs most often E.g. = 1,3,6,2,5,8
range = 8-1 = 7 mean = (1+3+6+2+5+8)/6 = 25/6 median = 1,2,3,5,6,8
= (3+5)/2 = 4 mode = none
Slide 10
Average Sum of all the values divided by the total number of
values.
Slide 11
Integers IF YOU ARE NOT SURE = USE YOUR CALCULATOR Sum of 2
positive integers is positive Sum of 2 negative integers is
negative Subtracting Integers -12 -5 = -12 + -5 = -17 26 - -14 = 26
+ 14 = 40 Multiplication and Division + x + or + + positive - x +
or - + negative - x or - - positive + x or + - negative
Slide 12
Angle types and measures Measures zero degrees an angle that is
less than 90 an angle that is 90 exactly an angle that is greater
than 90 but less than 180 an angle that is 180 exactly an angle
that is greater than 180 Measure s 360 degrees Zero angle
Slide 13
Opposite and adjacent angles Opposite (1 = 3 or 2 = 4) Adjacent
Same vertex, common side, not overlapping
Slide 14
Complementary and supplementary angles Complementary: add up to
90 degrees and form a right angle. Supplementary: add up to 180
degrees and form a straight line.
Slide 15
Alternate interior, exterior and corresponding angles Alt int,
alt ext and corresponding angles are congruent or equal when 2
parallel lines intersect a transversal line.
Slide 16
Parallel, perpendicular, intersecting and perpendicular
bisector
Slide 17
Triangle and quadrilateral
Slide 18
Translation and reflection Reflect by doing perpendicular lines
with a triangular ruler on the reflection line. Translate by doing
parallel lines to the vector (prolong vector first) with a triangle
on the vector and a ruler against the triangle.
Slide 19
Algebra Rule for a series of numbers: Term = common difference
x rank + number Term and rank = 2 different letters Common
difference = link between numbers Number = first term of series
common difference Example: y = 4x -3 If x = 7, solve for y y = 4 x
7 3 = 28 3 = 25 When x = 7, y = 25
Slide 20
Polygons Polygon = plane figure with closed broken line Regular
polygon = all sides and angles are congruent Convex polygon = all
interior angles are less than 180 o Perimeter = add all sides (be
careful with units)
Slide 21
Quadrilateral page 177 important Four sided polygon Sum of
interior angles = 360 degrees Pentagon =5 Hexagon = 6 Heptagon = 7
Octagon = 8 Nonagon = 9 Decagon = 10 Hendecagon = 11 Dodecagon =
12
Slide 22
Angles of polygons n = number of sides of polygon Measure one 1
of the interior angles of a regular polygon: (n 2) x 180 n Sum of
the measures of the interior angles of a polygon: S = (n-2) x
180
Slide 23
triangles Sum of interior angles = 180 degrees
Slide 24
Probabilities Dice: 1,2,3,4,5,6 Cards: 4 suits (hearts, clubs,
spades, diamonds) 13 cards per suit (1-10 + jack, queen, king) And
= multiply Or = add Sample space: all outcomes of an event
Slide 25
Scientific notation 235 = 2.35 x 10 2 0.0256 = 2.56 x 10 -2
4.76 x 10 3 = 476 100.02 x 10 -4 = 0.010002 Scientific to real: if
positive exponent move decimal point to the right, if negative
exponent move decimal point to the left. Real to scientific: if
number is smaller than 1, exponent will be negative, if number is
larger than 1, exponent will be positive.
Slide 26
conversions King Henry Doesnt Usually Drink Chocolate Milk
Kilo-, Hecto-, Deca-, unit (meter, gram, liter), Deci-, Centi-,
Milli- 2 options Moving right = multiply by 10 Moving left = divide
by 10 Move decimal point left or right depending on what your
initial unit is and where you want to end up.
Slide 27
Decimal, percent and fraction conversions A) fraction to
decimal: divide numerator by denominator B) fraction to percent:
divide numerator by denominator, multiply answer by 100 and add %
sign C) percent to decimal: remove % sign, divide by 100 D) percent
to fraction: remove % sign, put over denominator of 100 and reduce
if possible E) decimal to fraction: multiply by 100 and put over
denominator of 100, reduce if possible F) decimal to percent:
multiply by 100 and add % sign
Slide 28
fractions
Slide 29
Finding a common denominator: what is the least common multiple
between both denominators, change both to the new number and adjust
your numerator (what you do to the bottom, you also do to the
top)
