6年生の数学を驚かせよう

This is an ongoing private tutoring reading and math class. The student needs help in addition, subtraction, multiplication, division, fractions, factoring, percentages, decimals, measurements, and money. 
Week 1: Numbers
ƒ Arabic system:  Place value, Powers of ten, Rounding
Decimal system:  up to ten thousandths place
Rational/irrational numbers;
Absolute value
Comparing numbers

Week 2:  Factoring
ƒ Prime/Composite numbers
ƒ Division by primes and Factor Tree
ƒ Greatest common factor
ƒ Least common multiple

Week 3:  Order of operation:  Parentheses, Brackets, braces, fraction bar
Exponents
Multiplication/Division
Addition/Subtraction
Week 4:  Word problems
Problem Solving Strategies
Properties of arithmetic:  Commutative, Associative, Distributive
Applying properties
Week 5:  Fractions
Numerator, denominator
Types: Proper, improper, mixed number
Complex, reciprocal
Addition, subtraction, multiplication, division
Least common denominator
Simplifying complex fractions
Week 6: Multiplication 
Week 7: Division
Week 8: 3 and 4 Digit Multiplication 
Week 9: Long Division 
Week 10: Ratios
Antecedent, consequent
Expressing/reading
Week 11:  Decimals
Terminating, repeating
Rational, irrational
Changing a decimal to a fraction
Week 12:  Percent, percentage, base
Percent as a decimal
Decimal as a percent
Fraction as a percent
Percent as a fraction
Fractional percent as a decimal
Percentage
Week 13  Simple interest
Discount and sale price
More or less in percent
Percent
Rate of discount
Percent of change
Base
Week 14:  Geometry
Plane figure notation
Plane figures
Plane, point, line, line segment, ray, angle
Intersecting, parallel, or perpendicular lines
Week 15  Polygon, closed figures
Side, vertex
Triangle, pentagon, hexagon, octagon
Quadrilateral, rectangle, square, rhombus, trapezoid
Similar polygons
Congruent polygons
Week 16  Line symmetry
Perimeter: polygon, rectangle, square, any polygon with equal sides
Week 17  Angles: acute, obtuse, right, straight, reflex
Pairs of angles: vertical, adjacent, complementary, supplementary
Measuring and drawing angles
Using a protractor and compass
Constructing angles
Week 18  Triangles: acute, obtuse, right, equiangular, equilateral, isosceles,
scalene
Drawing triangles
Included side or angle
Triangles formed: 0, 1, 2, or infinitely many
Ambiguous case
Week 19:  Circles
Center, radius, diameter, arc, semicircle, chord, central angle,
subtended
Sum of central angles: 360º
Circumference with radius or diameter
Week 20  Area
rectangle, square, parallelogram, triangle, circle, trapezoid
using a grid and scale
Week 21:  Complex figures using addition or subtraction
Fundamental theorem of counting
Week 22  Three-dimensional figures
Face, edge, base
Rectangular prism, cube, triangular prism, square pyramid, cylinder, cone, sphere
Surface area
Rectangular prism, cube, square pyramid, cylinder
Week 23  Lateral surface area
Rectangular prism, cube, cylinder
Week 24: Volume
Rectangular prism, cube, cylinder, cone
Cross Sections
Week 25  Measurement
Linear
U.S. Customary: inch, foot, yard, mile
Metric: millimeter, centimeter, decimeter, meter, decameter, hectometer, kilometer
Capacity
U.S. Customary: fluid ounce, cup, pint, quart, gallon, peck, bushel,
teaspoon, tablespoon
Metric: milliliter, centiliter, deciliter, liter, decaliter, hectoliter, kiloliter
Weight
U.S. Customary: ounce, pound, ton
Mass:
Metric: milligram, centigram, decigram, gram, decagram, hectogram, kilogram
Converting between U.S. Customary measures
Time
Week 26  Probability
Counting
Outcome
Exhaustive list, tree diagram
Fundamental theorem of counting
Basic probability
Outcome, event,
Properties of probability
Compound probability
Theoretical probability
Experimental probability

Week 27  Statistics
Data, statistic, statistics
Frequency table
Measures of center: Mean, median, mode
Week 28 Graphs
Bar graph, stacked bar graph
Interpreting/constructing
Circle graph
Interpreting/constructing
Box-and-whisker plot
Dispersion, range
Five-number summary
Minimum, first quartile, median, third quartile, maximum
Week 29 Interpreting/constructing
Comparing two plots
Stem-and-leaf plot
Stem, leaf, class
Interpreting/constructing
Histogram
Class, frequency
Interpreting/constructing
Line graph
Comparing two lines on the same graph
Interpreting/constructing
Straight, curved, or broken
Week 30  Graphing on the Cartesian Plane
Cartesian plane, origin, x-axis, y-axis, quadrants, point, ordered pair
x-intercept, y-intercept
Plotting points
Coordinate geometry, transformations
Translation
Preimage, image,
Rigid transformation
Reflection
Slope
Rise, run,
Positive, negative, zero
Parallel and perpendicular slopes
Week 31  Graphing a line
Using two points
Using a point and a slope
Using a table of values
Using slope-intercept form
Week 32 Linear equation
Input, output, independent variable, dependent variable, equation
Slope-intercept form
Direct Variation
Constant of variation
Proportional/nonproportional
Word problems
Week 33.  Algebra
Variable, constant
Notation
Polynomial
Monomial, binomial, trinomial
Evaluation
Algebraic translation
Polynomial arithmetic
Adding like terms
Week 34  Radicals
Perfect square, perfect cube
Radical symbol, index (indices), radicand
Square root, cube root
Expressing a radical as a fractional exponent
Finding rational roots using fractional exponents
Estimating irrational roots