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Planned Instruction for Math- Grade 6

Code Standard Content - Benchmark P Time Materials/Strategies/Activities CET PSSA
2.1 A. Represent and use
numbers in equivalent forms
(e.g., integers, fractions,
decimals, percents, exponents,
scientific notation, square
roots).
A. Represent and explain
relationships among decimals,
fractions and percents and
distinguish appropriate form to
use to solve problems.
        Yes
  B. Simplify numerical
expressions involving
exponents, scientific notation
and using order of operations
B. Recognize and generate
equivalent numerical
expressions involving
fractions, decimals, and
percents.
        Yes
  C. Distinguish between and
order rational and irrational
numbers.
C. Use a number line to
represent
fractions, decimals
and integers and to model real
life situations.
• Order decimals.
• Order fractions.
        Yes
  D. Apply ratio and
proportion to mathematical
problem situations
involving distance, rate, time
and similar triangles.
D. Write a ratio or proportion
to represent a real world
situation.
        Yes
  E. Simplify and expand
algebraic expressions using
exponential forms.
E. Classify numbers as prime
or composite. Identify and
determine factors, multiples,
and prime factorization of a
given number.
        Yes
  F. Use the number line model
to demonstrate integers and
their applications.
F. Identify and locate positive
and negative numbers on a
number line.
        Yes
  G. Use the inverse
relationships between
addition, subtraction ,
multiplication, division,
exponential notation and root
extraction to determine
unknown quantities in
equations.
G. Use the inverse
relationships between
addition, subtraction,
multiplication and division to
determine unknown quantities
in equations. Model simple
algebraic expressions using
manipulatives (e.g. tiles,
blocks, algebraic balances).
        Yes
2.2 A. Complete calculations by
applying the order of
operations.
A. Calculate the value of
expressions involving
grouping symbols .
        Yes
  B. Add, subtract, multiply
and divide different kinds
and forms of rational
numbers including integers,
decimal
fractions, percents and
proper and improper
fractions.
B. Add, subtract, multiply and
divide decimals , and fractions
(including proper and
improper fractions).
        Yes
  C. Estimate the value of
irrational numbers.
C. Discuss the concept of a
square root .
• 32 = 9 and
• calculations can be used
perfect squares can be
modeled with colortiles.
        Yes
  D. Estimate amount of tips
and discounts using ratios,
proportions and percents.
• Develop and use procedures
for calculating decimal
percents using mental math
(e.g. 1%, 10 %, 15%, 20%)
D. Define percent.
• Use concrete objects to
model (e.g., decimal squares
(100ths), base-ten blocks).
• Recognize and compare
ratios.
        Yes
  E. Determine the
appropriateness of
overestimating or
underestimating in
computation.
E. Estimate answers to
addition, subtraction,
multiplication, and division
problems using whole
numbers, decimals, and
fractions.
        Yes
  F. Identify the difference
between exact value and
approximation and determine
which is appropriate for a
given situation.
F. Explain when rounded or
exact numbers are appropriate
in real life problems.
        Yes
2.3 A. Develop formulas and
procedures for determining
measurements (e.g., area,
volume, distance).
• combination figures
• volume of triangular
prisms, cylinders,
A. Develop and use formulas
for determining perimeter and
area of rectangles, squares,
and right triangles.
• Identify and label the
dimensions needed to
determine perimeter and area
(length, width, base, height)
• Determine the volume and
surface area of rectangular
prisms using manipulatives.
        Yes
  B. Solve rate problems (e.g.,
rate X time =
distance, principal X interest
rate = interest).
B. Identify and compare units
of distance, time and rate.
• Metric.
• Customary.
        Yes
  C. Measure angles in degrees
and determine relations of
angles.
C. Visually identify angles
with measures of 45, 90, and
180 degrees.
• Measure angles less than 180
degrees (within two degrees).
• Identify angles as acute,
straight, obtuse and right.
        Yes
  D. Estimate, use and describe
measures of distance, rate,
perimeter, area, volume,
weight, mass and angles.
D. Estimate and use measures
of distance, perimeter, area,
weight, and angles.
• Metric
• Customary
• Model and explain linear
measurement, area, and
volume using manipulatives
(e.g. string, squares, cubes,
tiles, balances).
        Yes
  E. Describe how a change in
linear
dimension of an object
affects its perimeter, area and
volume.
E. Using graph paper or
manipulatives, change a linear
dimension of an object and
analyze how this change
affects its perimeter and area.
        Yes
  F. Use scale measurements to
interpret
maps or drawings.
F. Apply appropriate
conversions to measurement in
real-life situations.
        Yes
  G. Create and use scale G. Given a scale, create a
simple scale drawing using
graph paper (e.g. scale
drawing of classroom).
        Yes
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