-
- GLCE's
- 6th
Grade
- Math
-
-
- NUMBER
AND OPERATIONS Multiply and divide fractions
- N.MR.06.01
Understand
division of fractions as the inverse of multiplication, e.g.,
- if
4/5
÷ 2/3 = □, 2/3 X □ = 4/5, So □= 4/5.3/2= 12/10
- N.FL.06.02
Given
an applied situation involving dividing fractions, write a mathematical
statement to represent the situation.
- N.MR.06.03
Solve
for the unknown in equations such as:
1/4÷□=1 ¾ ÷□=1/4 and 1/2=1.□.
- N.FL.06.04
Multiply
and divide any two fractions, including mixed numbers, fluently.
-
-
- Represent
rational numbers as fractions or decimals
- N.ME.06.05
Order
rational numbers and place them on the number line.
- N.ME.06.06
Represent
rational numbers as fractions or terminating decimals when possible,
- and
translate between these representations.
- N.ME.06.07
Understand
that a fraction or a negative fraction is a quotient of two integers,
- e.g.,
-8/3 is
-8 divided by 3.
-
-
- Add
and subtract integers and rational numbers
- N.MR.06.08
Understand
integer subtraction as the inverse of integer addition; add and
- subtract
integers using integers from 10 to -10.
- N.FL.06.09
Add,
subtract, multiply, and divide integers between -10 and 10; use number line
- and
strip models for addition and subtraction.
- N.FL.06.10
Add,
subtract, multiply and divide positive rational numbers fluently.
- Find
equivalent ratios
- N.ME.06.11
Find
equivalent ratios by scaling up or scaling down.
-
-
- Solve
decimal, percentage and rational number problems
- N.FL.06.12
Calculate
part of a number given the percentage and the number.
- N.FL.06.13
Solve
word problems involving percentages in such contexts as sales taxes and
- tips,
and involving positive rational numbers.
- N.FL.06.14
For
applied situations, estimate the answers to calculations involving
operations
- with
rational numbers.
- N.FL.06.15
Solve
applied problems that use the four operations with appropriate
- decimal
numbers.
-
-
- Use
exponents
- N.ME.06.16
Understand
and use integer exponents, excluding powers of negative numbers;
- express
numbers in scientific notation.
-
-
- Understand
rational numbers and their location on the number line
- N.ME.06.17
Locate
negative rational numbers (including integers) on the number line;
- know
that numbers and their negatives add to 0, and are on opposite sides and at
equal
- distance
from 0 on a number line.
- N.ME.06.18
Understand
that rational numbers are quotients of integers (non-zero
- denominators),
e.g., a rational number is either a fraction or a negative fraction.
- N.ME.06.19
Understand
that 0 is an integer that is neither negative nor positive.
- N.ME.06.20
Know
that the absolute value of a number is the value of the number, ignoring
- the
sign, or is the distance of the number from 0.
- ALGEBRA
Calculate rates
- A.PA.06.01
Solve
applied problems involving rates including speed, e.g., if a car is going 50
- mph,
how far will it go in 3__
hours?
-
-
- Understand
the coordinate plane
- A.RP.06.02
Plot
ordered pairs of integers and use ordered pairs of integers to identify
points
- in
all four quadrants of the coordinate plane.
-
-
- Use
variables, write expressions and equations, and combine like terms
- A.FO.06.03
Use
letters, with units, to represent quantities in a variety of contexts,
- e.g.,
y lbs., k minutes, x cookies.
- A.FO.06.04
Distinguish
between an algebraic expression and an equation.
- A.FO.06.05
Use
standard conventions for writing algebraic expressions, e.g., 2x + 1 means
- “two
times x, plus 1” and 2(x + 1) means “two times the quantity (x + 1).”
- A.FO.06.06
Represent
information given in words using algebraic expressions and equations.
- A.FO.06.07
Simplify
expressions of the first degree by combining like terms, and evaluate
- using
specific values.
-
-
- Represent
linear functions using tables, equations, and graphs
- A.RP.06.08
Understand
that relationships between quantities can be suggested by graphs
- and
tables.
- A.PA.06.09
Graph
and write equations for linear functions of the form y = mx, and solve
- related
problems, e.g., given n chairs, the “leg function” is f(n) = 4n; if you
have 5 chairs, how
- many
legs?; if you have 12 legs, how many chairs?
- A.RP.06.10
Represent
simple relationships between quantities, using verbal descriptions,
- formulas
or equations, tables, and graphs, e.g., perimeter-side relationship for a
square,
- distance-time
graphs, and conversions such as feet to inches.
-
-
- Solve
equations
- A.FO.06.11
Relate
simple linear equations with integer coefficients to particular contexts,
- and
solve, e.g., 3x = 8 or x + 5 = 10.
- A.FO.06.12
Understand
that adding or subtracting the same number to both sides of an
- equation
creates a new equation that has the same solution.
- A.FO.06.13
Understand
that multiplying or dividing both sides of an equation by the same
- non-zero
number creates a new equation that has the same solutions.
- A.FO.06.14
Solve
equations of the form ax + b = c, e.g., 3x + 8 = 15 by hand for positive
- integer
coefficients less than 20, using calculators otherwise, and interpret the
results.
-
-
- MEASUREMENT
Convert within measurement systems
- M.UN.06.01
Convert
between basic units of measurement within a single
- measurement
system, e.g., square inches to square feet.
-
-
- Find
volume and surface area
- M.PS.06.02
Draw
patterns (of faces) for a cube and rectangular prism that, when
- cut,
will cover the solid exactly (nets).
- M.TE.06.03
Compute
the volume and surface area of cubes and rectangular prisms
- given
the lengths of their sides using formulas.
-
-
-
- GEOMETRY
Understand and apply basic properties
- G.GS.06.01
Understand
and apply basic properties of lines, angles, and triangles, including:
- —triangle
inequality
- —relationships
of vertical angles, complementary angles, supplementary angles
- —congruence
of corresponding and alternate interior angles when parallel lines —
- are
cut by a transversal, and that such congruencies imply parallel lines
- —locate
interior and exterior angles of any triangle, and use the property that an
exterior —
- angle
of a triangle is equal to the sum of the remote (opposite) interior angles
- —know
that the sum of the exterior angles of a convex polygon is 360º.
-
-
- Understand
the concept of congruence and basic transformations
- G.GS.06.02
Understand
that for polygons, congruence means corresponding sides and angles
- have
equal measures.
- G.TR.06.03
Understand
the basic rigid motions in the plane (reflections, rotations, translations),
- relate
these to congruence, and apply them to solve problems.
- G.TR.06.04
Understand
and use simple compositions of basic rigid transformations, e.g., a
- translation
followed by a reflection.
-
-
- Construct
geometric shapes
- G.SR.06.05
Use
paper folding to perform basic geometric constructions of perpendicular
- lines,
midpoints of line segments and angle bisectors; justify informally.
-
-
- DATA
AND PROBABILITY
- Understand
the concept of probability and solve problems
- D.PR.06.01
Express
probabilities as fractions, decimals or percentages between 0 and 1; know
- that
0 probability means an event will not occur and that probability 1 means an
event will occur.
- D.PR.06.02
Compute
probabilities of events from simple experiments with equally likely
outcomes, e.g., tossing dice, flipping coins, spinning spinners, by listing
all possibilities and finding the fraction that meets given conditions.