Math - Grade 6
2016-17
Learning Objectives :
Number
Automatically recall and use basic number facts to improve fluency (i.e.
with xtramath)
Revision of place value up to 1 000 000 000 (1 billion) with the use of
number rays, hundreds charts, and manipulatives including writing
numbers with words
Revision of rounding numbers up to 1 billion including rounding decimals
up to the thousandths place
Estimating before calculating and checking for accuracy
Select and defend the most appropriate and efficient method of solving a
problem (i.e. mental estimation, mental arithmetic)
Review mental strategies to improve fluency in all operations (i.e.
doubling and halving)
Revision of multiplying and dividing by 10, 100, 1,000
Review multiple digit multiplication and division
Continue to use the correct terms for the different operations, also correct
spelling; (addend, sum); (minuend, subtrahend, difference); (multiplicand,
multiplier, product); (dividend, divisor, quotient)
Read, write and model integers including an introduction into negative
numbers
Understanding value of negative numbers by using number lines and
inequalities
Defining and working with rational numbers (with negative integers)
including inequalities and all four operations
Use the mathematical vocabulary of fractions: numerator, denominator,
equivalent fraction, improper fraction, mixed number, whole number,
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reduced to lowest terms, simplest form
Compare and order fractions including inequalities and finding equivalent
fractions
Reducing fractions to simplest form (lowest or least common
denominator)
Review factors, finding common factors, and greatest common factor
(GCF)
Prime factorization (finding prime numbers)
Review multiples, finding common multiples, and least common multiple
(LCM)
Review of mixed numbers and improper fractions and converting back
and forth
Review adding and subtracting fractions with like and unlike
denominators
Introduction into multiplying and dividing fractions
Review place value with reading, writing, modeling, and rounding
decimals to the thousandths
Fluency with all four operations while using decimals
Read, write, and model percentages
Interchange fractions, percentages, and decimals
Percent reduction of a whole number
Consumer math with percentages to find best prices (i.e. calculating
percentage off full price)
Real life word problems with decimals with all four operations (including
money)
Real life word problems with fractions, decimals, and percentages as well
as with all four operations with numbers up to 1 billion
Pattern and functions
Use real-life problems to create a number pattern, following a rule
(including patterns with negative numbers, decimals, and fractions)
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Introduction to numbers standing for letters, working with variables (i.e.
y+y+y = 3y or A = 6s for the surface area of a cube)
Apply different algorithms:
Commutative law: a + b = b + a; a x b = b x a
Associative law: (a + b) + c = a + (b + c); (a x b) x c = a x (b x c)
Distributive law: a × (b + c) = a × b + a × c
Use of the calculator including the laws above
Use of Commutative Law, Associative Law, and Distributive Law with
fractions
Measurement
Review measuring: length, capacity, weight, time, and temperature
(including negative numbers) with conversions
Use decimal notation in measurement: 3.2 cm, 1.47kg, 1.63 €
Review of calculating surface area and volume of cuboids
Calculating surface area and volume of irregular 3-D shapes
Real life word problems connected to measurement
Shape and space
Identifying and classifying 2-D shapes (rhombus, quadrilateral,
parallelogram, trapezoid, octagon, hexagon, or other “irregular” shapes)
Measuring and calculating angles of “irregular” 2-D shapes (rhombus,
quadrilateral, parallelogram, trapezoid, octagon, hexagon, or other
“irregular” shapes)
Finding permeter and area of the above listed shapes
Review measuring, classifying, and constructing different types of angles
in degrees (straight, acute, obtuse, right, and reflex)
Classifying, comparing, and drawing different types of triangles (acute,
obtuse, right, equilateral, isoceles, scalene)
Calculating the radius, circumference, and area of circles
Name, describe, classify, model, and draw 3-D shapes
Turn a 2-D net into a 3-D shape and vice versa
Review the surface area and volume of cuboids (cubes and rectangular
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prisms)
Find surface area and volume of other 3-D shapes
Review the vocabulary of lines, rays and segments: parallel,
perpendicular
Find and use scale (ratio) to enlarge and reduce shapes
Plot to scale and calculate the real length
Read and plot coordinates in four quadrants (with negative numbers)
Real life word problems connected to shape and space
Data Handling
Design a survey and systematically collect, organize and record the data
in displays: pictograph, bar graph, circle graph, line graph
Create interpret, discuss and compare data displays (pictograph, bar
graph, circle graph, line graph) including how well they communicate
information
Inquire into how graph results can be manipulated by changing scale or
display to change the impression of the information being presented
Find, describe and explain the range, mode, median and mean in a set of
data and understand their use
Create and manipulate an electronic database for their own purposes
Set up a spreadsheet
Identify different linearity (proportionality): quantity of goods to costs,
distance to time
Real life word problems connected to data handling
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