Docstoc

Grade 8 Math Checklist

Document Sample
Grade 8 Math Checklist Powered By Docstoc
					Grade 8 Math Checklist
Problem Solving: Understanding
Objectives                              Often      At times      Rarely       Comments
                                        Mastered   Worked on     Introduced
The student should be able to:                     extensively
P-1 Establish and/or demonstrate an
understanding of a problem by
ascertaining the meaning of the key
words
P-1 Establish and/or demonstrate an
understanding of a problem by
considering alternate interpretations
P-1 Establish and/or demonstrate an
understanding of a problem by
identifying assumptions

Problem Solving: Planning and Executing
Objectives                              Often      At times      Rarely       Comments
                                        Mastered   Worked on     Introduced
The student should be able to:                     extensively
P-2 Design a plan and solve
problems using one or more of the
following strategies by using a
number sentence/equation
P-2 Design a plan and solve
problems using one or more of the
following strategies by using
deductive reasoning
P-2 Design a plan and solve
problems using one or more of the
following strategies by breaking
problem into sub-problems
P-2 Design a plan and solve
problems using one or more of the
following strategies by recognizing
patterns
P-3 Apply estimation strategies to a
problem
P-4 Solve a variety of types of
problems including translation
problems
P-4 Solve a variety of types of
problems including process
problems
P-4 Solve a variety of types of
problems including realistic
problems
P-5 Make appropriate use of
technology in solving problems




                                                         1 of 15
Grade 8 Math Checklist
Problem Solving: Reflecting
Objectives                              Often      At times      Rarely       Comments
                                        Mastered   Worked on     Introduced
The student should be able to:                     extensively
P-6 Explain, orally and/or in written
form, how the solution was obtained
P-10 Consider other ways to solve a
problem
P-11 Display the results using a
variety of means such as graphs,
charts, or statements

Numbers and Operations: Place Value
Objectives                              Often      At times      Rarely       Comments
                                        Mastered   Worked on     Introduced
The student will be able to:                       extensively
N-1 Read, write the symbols for,
read words for, and express orally
any decimal number
N-2 Use decimal notation to express
numbers greater than one billion
N-4 Compare and/or order numbers
by using place value down to and
including any decimal number
N-5 Round a number to the nearest
hundred or tenth
N-5 Round a number to the nearest
thousand or hundredth
N-6 State the meaning, and/or give
an example, of each of the terms
exponent, base, power, squared,
cubed
N-7 Write equivalent expressions
for a number as an expanded
numeral using exponential notation
(positive exponents)
N-8 Convert to an equivalent one in
decimal notation, a number written
in expanded notation

Numbers and Operations: Estimation and Mental Calculations
Objectives                              Often      At times      Rarely       Comments
                                        Mastered   Worked on     Introduced
The student should be able to:                     extensively
N-9 Reason out and solve problems
by applying the following mental
calculation strategies: front-end
adding, subtracting, and multiplying
N-9 Reason out and solve problems
by applying the following mental
calculation strategies: adding,
subtracting, or multiplying by
chaining


                                                         2 of 15
Grade 8 Math Checklist
Numbers and Operations: Estimation and Mental Calculations
Objectives                               Often      At times      Rarely       Comments
                                         Mastered   Worked on     Introduced
The student should be able to:                      extensively
N-9 Reason out and solve problems
by applying the following mental
calculation strategies: multiplying
and dividing by forming aliquot
parts
N-9 Reason out and solve problems
by applying the following mental
calculation strategies:
adding/subtracting special fractions
N-9 Reason out and solve problems
by applying the following mental
calculation strategies: subtracting a
mixed number from a whole number
N-9 Reason out and solve problems
by applying the following mental
calculation strategies: finding
fractional parts of whole numbers
N-10 Estimate a sum, a difference, a
product, or a quotient by
reformulating
N-10 Estimate a sum, a difference, a
product, or a quotient by
compensating
N-10 Estimate a sum, a difference, a
product, or a quotient by translating
N-14 Estimate the square root of
any whole number less than 100

Numbers and Operations: Whole Numbers
Objectives                               Often      At times      Rarely       Comments
                                         Mastered   Worked on     Introduced
The student should be able to:                      extensively
N-15 Reason out and solve percent
problems by applying the following
mental calculation strategies using
fractions to calculate percents
N-15 Reason out and solve percent
problems by applying the following
mental calculation strategies using
rules for conversion of percent to
decimal, and vice versa
N-15 Reason out and solve percent
problems by applying the following
mental calculation strategies relating
complex percents to more easily
handled ones
N-16 Recognize and solve a variety
of problems involving more than
one operation



                                                          3 of 15
Grade 8 Math Checklist
Numbers and Operations: Whole Numbers
Objectives                             Often      At times      Rarely       Comments
                                       Mastered   Worked on     Introduced
The student should be able to:                    extensively
N-21 Multiply a two-digit number
by a two-digit number using pencil
and paper
N-25 Use division algorithms, with
two-digit divisors
N-26 Use a divisibility rule to
determine whether a number is
divisible by 3, 6, 9
N-26 Use a divisibility rule to
determine whether a number is
divisible by 4, 8
N-27 Evaluate a numerical
expression, containing whole
numbers, exponents, and
parentheses, by performing
operations in the correct order
N-28 Find the square root of any
perfect square less than 100 by
recall
N-28 Find the square root of any
perfect square by estimation and
repeated squaring on a calculator
N-28 Find the square root of any
perfect square using prime
factorization
N-29 Determine the approximate
square root of a number using
estimation and repeated squaring on
a calculator
N-29 Determine the approximate
square root of a number using the
square root function on a calculator
N-29 Determine the approximate
square root of a number using
interpolation between two perfect
squares
N-30 Evaluate expressions in a
given base with a positive integer
exponent
N-30 Evaluate expressions in a
given base with a zero exponent




                                                        4 of 15
Grade 8 Math Checklist
Numbers and Operations: Integers
Objectives                              Often      At times      Rarely       Comments
                                        Mastered   Worked on     Introduced
The student should be able to:                     extensively
N-32 Recognize and solve a variety
of problems involving positive and
negative integers
N-35 Locate integers on a number
line
N-36 Compare and/or order integers
N-37 Add and subtract integers,
using manipulatives and diagrams
N-37 Add and subtract integers,
using algorithms
N-38 Multiply and divide integers,
using manipulatives and diagrams

Numbers and Operations: Rational Numbers - Fractions
Objectives                              Often      At times      Rarely       Comments
                                        Mastered   Worked on     Introduced
The student should be able to:                     extensively
N-42 Solve a variety of problems
involving addition and subtraction
of fractions with unlike
denominators using manipulatives
and pictures
N-42 Solve a variety of problems
involving multiplication and
division of fractions using
manipulatives and pictures
N-43 Use estimation in helping to
solve a variety of problems
involving fractional measures
N-44 Recognize the uses of
fractional numbers in the real world
N-50 Use manipulatives, pictures,
and symbols to compare and/or
order fractions
N-52 Convert any fraction or mixed
number to a decimal fraction, and
vice versa (repeating decimals)
N-54 Find the reciprocal of any
fraction or mixed number
N-56 Estimate the results, and then
perform the following operations,
addition and subtraction of fractions
N-56 Estimate the results, and then
perform the following operations,
multiplication of fractions
N-56 Estimate the results, and then
perform the following operations,
division of a fraction by a whole
number, and vice versa


                                                         5 of 15
Grade 8 Math Checklist
Numbers and Operations: Rational Numbers - Fractions
Objectives                                       Often      At times      Rarely       Comments
                                                 Mastered   Worked on     Introduced
The student should be able to:                              extensively
N-57 Estimate the result, and then
perform the following operations on
positive mixed numbers and zero
addition and subtraction
N-57 Estimate the result, and then
perform the following operations on
positive mixed numbers and zero
multiplication
N-58 Evaluate a numerical
expression containing fractions,
exponents, and parentheses by
performing operations in the correct
order

Numbers and Operations: Rational Numbers - Decimals
Objectives                                       Often      At times      Rarely       Comments
                                                 Mastered   Worked on     Introduced
The student should be able to:                              extensively
N-59 Recognize and solve problems
involving operations with decimal
numbers
N-61 Compare and/or order decimal
numbers by using place value
N-65 Multiply and divide decimal
numbers in tenths by decimal
numbers in tenths
N-66 Determine and use the most
appropriate method(s) to find
answers to problems involving
decimal numbers

Numbers and Operations: Calculator Skills
Objectives                                       Often      At times      Rarely       Comments
                                                 Mastered   Worked on     Introduced
The student should be able to use a calculator              extensively
to:
N-76 Add, subtract, multiply, and/or
divide fractions
N-77 Add, subtract, multiply, and/or
divide integers by using the +/- key
N-79 Convert fractions to decimals
and find the repeating period of a
rational number
N-81 Evaluate a numerical
expression using the memory
function key, if necessary
N-83 Use the following special
function keys percent, square root,
( ), , power, and 1/x


                                                                  6 of 15
Grade 8 Math Checklist
Numbers and Operations: Calculator Skills
Objectives                              Often      At times      Rarely       Comments
                                        Mastered   Worked on     Introduced
The student should be able to use the              extensively
calculator to:
N-84 Check accuracy and
reasonableness of answers, and
demonstrate a variety of ways to
correct errors

Ratio and Proportion
Objectives                              Often      At times      Rarely       Comments
                                        Mastered   Worked on     Introduced
The student should be able to:                     extensively
R-1 Solve word problems involving
rates and ratios
R-2 Use the concept of ratio to
compare three quantities of the same
unit
R-3 Use the concept of rate to
compare different quantities
R-4 Construct ratios and rates from
real-life examples
R-5 Express ratios and rates using
fraction form
R-6 Use real-world examples to find
equivalent ratios and rates by using
tables and charts
R-6 Use real-world examples to find
equivalent ratios and rates by
multiplying or dividing each term by
the same whole number
R-7 Rename a ratio or rate in lowest
terms
R-8 Compare ratios and rates
R-9 Read and interpret scale
drawings
R-10 Construct scale drawings
R-13 Express ratios as percents and
decimals with any denominator
R-15 Rewrite as a decimal number,
and vice versa, percents greater than
100
R-15 Rewrite as a decimal number,
and vice versa, percents less than 1
R-16 Convert a percent to a proper
fraction, and vice versa
R-17 Convert a percent to a mixed
number, and vice versa
R-18 Solve percent problems by
writing the corresponding number
sentence or proportion
R-19 Determine whether a given
pair of ratios forms a proportion

                                                         7 of 15
Grade 8 Math Checklist
Ratio and Proportion
Objectives                              Often      At times      Rarely       Comments
                                        Mastered   Worked on     Introduced
The student should be able to:                     extensively
R-20 Find the missing element in a
proportion using equivalence
R-20 Find the missing element in a
proportion using the product of
means and extremes
R-21 Solve real-life percent
problems about tips, GST, PST,
discount, and sales price
R-21 Solve real-life percent
problems about commission, simple
interest
R-21 Solve real-life percent
problems about percent increase and
decrease

Geometry / Measurement: Angles, Lines, and Line Segments
Objectives                              Often      At times      Rarely       Comments
                                        Mastered   Worked on     Introduced
The student should be able to:                     extensively
G/M-1 Recognize, draw, name, and
describe or define complementary
angles, supplementary angles,
congruent angles, vertically opposite
angles
G/M-7 Use a protractor and a ruler
to draw an angle of a given size
G/M-7 Use a protractor and a ruler
to copy a given angle
G/M-8 Determine the measures of
vertically opposite, supplementary,
and complementary angles when
one angle is given
G/M-9 Recognize that the sum of
the interior angles of a triangle is
equal to 180o, and the sum of the
interior angles of a quadrilateral is
360o
G/M-10 Calculate the value of an
unknown angle in a triangle and in a
quadrilateral, given the measures of
the other angles




                                                         8 of 15
Grade 8 Math Checklist
Geometry / Measurement: Polygons
Objectives                                Often      At times      Rarely       Comments
                                          Mastered   Worked on     Introduced
The student should be able to:                       extensively
G/M-13 Identify, name, give an
example, and list the properties of
the following figures isosceles
trapezoid
G/M-13 Identify, name, give an
example, and list the properties of
the following figures triangles
(classification according to their
sides): equilateral, isosceles, scalene
G/M-13 Identify, name, give an
example, and list the properties of
the following figures triangles
(classification according to their
angles): right, acute, obtuse,
equiangular
G/M-13 Identify, name, give an
example, and list the properties of
the following figures convex,
concave, regular, irregular polygons
G/M-16 Understand and use the
terms similar
G/M-17 Identify the relationships
between the sides and between the
angles of similar polygons

Geometry / Measurement: Polygons
Objectives                                Often      At times      Rarely       Comments
                                          Mastered   Worked on     Introduced
The student should be able to:                       extensively
G/M-19 Use a scale drawing to
make similar figures
G/M-20 Calculate the scale factor of
two similar polygons
G/M-22 Solve problems involving
similar triangles and other similar
polygons
G/M-23 Create similar figures using
a variety of tools such as grids, scale
factors, photocopiers, pantographs,
etc.
G/M-25 Identify and state
corresponding parts of congruent
polygons
G/M-26 Construct congruent angles
and congruent triangles using paper
folding, mira, and/or compass and
straight edge
G/M-27 State the properties of
congruent polygons



                                                           9 of 15
Grade 8 Math Checklist
Geometry / Measurement: Polygons
Objectives                               Often      At times      Rarely       Comments
                                         Mastered   Worked on     Introduced
The student should be able to:                      extensively
G/M-36 Determine which properties
are preserved by translations,
rotations, and reflections (such as
congruency, area, orientation)

Geometry / Measurement: Space Geometry
Objectives                               Often      At times      Rarely       Comments
                                         Mastered   Worked on     Introduced
The student should be able to:                      extensively
G/M-39 Build 3-dimensional objects
using nets, straws, etc.
G/M-40 Draw representations of 3-
dimensional objects
G/M-43 Make similar 3-dimensional
objects

Geometry / Measurement: Length
Objectives                               Often      At times      Rarely       Comments
                                         Mastered   Worked on     Introduced
The student should be able to:                      extensively
G/M-44 Solve a variety of problems
involving length
G/M-48 Calculate the perimeter of
composite figures given the lengths
of the sides
G/M-48 Calculate the perimeter of
figures given partial, but sufficient,
information
G/M-50 Use the Pythagorean
Theorem to determine if a triangle
has a right angle
G/M-51- Use the Pythagorean
Theorem to calculate the length of
the hypotenuse of a right triangle
G/M-53 Solve problems using the
Pythagorean Theorem
G/M-56 Find the circumference of a
circle, given the radius or diameter
G/M-57 find the radius or diameter
of a circle, given the circumference




                                                         10 of 15
Grade 8 Math Checklist
Geometry / Measurement: Area
Objectives                               Often      At times      Rarely       Comments
                                         Mastered   Worked on     Introduced
The student should be able to:                      extensively
G/M-58 Solve a variety of problems
involving area
G/M-61 Compare and estimate the
area of regions using square
kilometres (km2) and hectares
G/M-64 Estimate and find the area
(using a formula) of the following
figures triangles, parallelograms,
rhombuses
G/M-64 Estimate and find the area
(using a formula) of the following
figures trapezoids, composite
figures, circles
G/M-65 Calculate the area of a
polygon given the scale factor and
the area of a similar polygon
G/M-66 Measure and calculate the
surface area of a cylinder, triangular
prism
G/M-68 Convert metric units of area
G/M-69 Determine the effect on the
area of a polygon when its sides are
doubled, tripled, etc.

Geometry / Measurement: Volume
Objectives                               Often      At times      Rarely       Comments
                                         Mastered   Worked on     Introduced
The student should be able to:                      extensively
G/M-70 Solve a variety of problems
involving volume
G/M-72 Convert metric units of
volume
G/M-73 Estimate, then calculate
(using a formula) the volume of a
triangular prism, cylinder
G/M-74 Recognize and discuss the
relationships between length, width,
height, surface area, and volume of
any prism or cylinder
G/M-75 Determine various
dimensions of rectangular prisms
when the volume is known
G/M-77 Determine the effect on the
volume of a solid of changing one or
more of its dimensions
G/M-78 Estimate the volume of
irregular objects by relating to an
object of known value
G/M-79 Solve a variety of problems
involving capacity, mass, or time

                                                         11 of 15
Grade 8 Math Checklist
Geometry / Measurement: Volume
Objectives                             Often      At times      Rarely       Comments
                                       Mastered   Worked on     Introduced
The student should be able to:                    extensively
G/M-80 solve problems involving
time zones
G/M-81 Convert a variety of units 1
mL of water at 4oC has a volume of
1 cm3 and a mass of 1 g
G/M-81 Convert a variety of units 1
L of water at 4oC has a volume of 1
dm3 and a mass of 1 kg
G/M-81 Convert a variety of units
1000 L = 1 kL = 1 m3
G/M-81 Convert a variety of units
1000 L of water at 4oC has a mass of
1000 kg = 1 t
G/M-82 Know, in order, the metric
prefixes from kilo to milli and use
this arrangement to change units
within SI

Data Management: Collecting
Objectives                             Often      At times      Rarely       Comments
                                       Mastered   Worked on     Introduced
The student should be able to:                    extensively
D-1 Acquire data through surveys,
questionnaires
D-1 Acquire data through research
D-1 Acquire data through interviews
D-2 Recognize that the data
collected are affected by the nature
of the sample
D-2 Recognize that the data
collected are affected by the method
of collection
D-2 Recognize that the data
collected are affected by the sample
size
D-2 Recognize that the data
collected are affected by biases
D-2 Identify the limits of student,
collected and published data




                                                       12 of 15
Grade 8 Math Checklist
Data Management: Organizing and Displaying
Objectives                               Often      At times      Rarely       Comments
                                         Mastered   Worked on     Introduced
The student should be able to:                      extensively
D-9 Display data using circle graphs
(degrees and percents), stem-and-
leaf plots
D-10 Discuss and determine the
most suitable method(s) to display
data
D-11 Use computer software to
assist in the organization and display
of data
D-12 Determine whether graphs are
misleading and state why
D-13 Discuss the reasonableness of
data and results

Data Management: Summarizing and Interpreting
Objectives                               Often      At times      Rarely       Comments
                                         Mastered   Worked on     Introduced
The student should be able to:                      extensively
D-14 Discuss, interpret and ascribe
meaning to the organized data
D-15 Determine, from a set of data,
the weighted mean
D-16 Determine the effect on the
mean, median, or mode of a set of
numbers when a constant is added to
or subtracted from each number
D-16 Determine the effect on the
mean, median, or mode of a set of
numbers when each number is
multiplied or divided by a number
D-16 Determine the effect on the
mean, median, or mode of a set of
numbers when a significantly
different number is included
D-17 List a set of numbers given a
mean, median, and/or mode
D-18 Read various charts and
schedules, and use the information
gained to solve problems
D-20 Solve problems involving data
management




                                                         13 of 15
Grade 8 Math Checklist
Data Management: Probability
Objectives                              Often      At times      Rarely       Comments
                                        Mastered   Worked on     Introduced
The student should be able to:                     extensively
D-24 Correctly use the terms
experimental probability, theoretical
probability, and chance
D-25 Predict and calculate
probability of simple events by
performing repeated experiments
(e.g.: tossing coins)
D-26 Simulate real situations by
using manipulatives
D-27 Use a ratio to describe odds
D-28 Calculate odds given a
probability, and vice versa
D-29 Calculate the probability of a
single event using concrete
materials
D-30 List the possible outcomes and
favorable outcomes for a random
experiment involving compound
events
D-31 Calculate the probability of a
compound event happening
D-32 State that the experimental
probability more closely
approximates the theoretical
probability as the number of cases
increases

Algebra
Objectives                              Often      At times      Rarely       Comments
                                        Mastered   Worked on     Introduced
The student should be able to:                     extensively
A-2 Evaluate an open expression,
with one variable, using the
following to replace the variable
fractions and decimals
A-2 Evaluate an open expression,
with one variable, using the
following to replace the variable
integers
A-3 Evaluate an open expression,
with two variables, using the
following to replace the variables
fractions and decimals
A-5 Solve word problems by using
diagrams, patterns, tables
A-5 Solve word problems by using
equations
A-6 Solve equations, in one
variable, using cover-up
A-6 Solve equations, in one
variable, using undoing
                                                        14 of 15
Grade 8 Math Checklist
Algebra
Objectives                             Often      At times      Rarely       Comments
                                       Mastered   Worked on     Introduced
The student should be able to:                    extensively
A-9 Understand and use functions as
ordered pairs
A-10 Graph ordered pairs of
numbers and tables of values on the
coordinate plane in any quadrant
A-11 Describe slides using ordered
number pairs (coordinates)
A-15 Understand and use correctly
the terms variable, constant,
expression, equation
A-17 Generate equivalent
expressions by collecting like terms




                                                       15 of 15

				
DOCUMENT INFO
Shared By:
Categories:
Tags:
Stats:
views:62
posted:11/11/2011
language:English
pages:15