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Planned Instruction for Math- Grade 6

Code Standard Content - Benchmark P Time Materials/Strategies/Activities CET PSSA
2.4 A. Make conjectures based on
logical reasoning and test
conjectures by using counterexamples.
A. Generalize from a pattern
of observations, make
predictions, and provide
supporting examples.
• If no one completed their
homework, what conclusions
could be drawn?
• Even number + even number
= even number
         
  B. Combine numeric
relationships to arrive at a
conclusion.
B. Develop numeric
relationships.
• Develop patterns when
changing fractions to decimals
(use calculator to begin
pattern, but continue by
observation).
Use divisibility rules to aid
in simplifying fractions.
• Convert between decimal ,
percents and fractions to solve
real world problems.
         
  C. Use if...then statements to
construct simple, valid
arguments.
C. Examine if...then
statements to determine if the
statements are valid.
         
  D. Construct, use and explain
algorithmic
procedures for computing
and estimating with whole
numbers, fractions, decimals
and integers.
D. Use algorithmic procedures
for computing and estimating
with whole numbers, fractions,
and decimals.
         
  E. Distinguish between
inductive and deductive
reasoning.
• Inductive (goes from specific
to general).
• Deductive (goes from
general to specific.)
E. Identify inductive and
deductive reasoning.
• Inductive (goes from specific
to general)
• Deductive (goes from
general to specific)
         
  F. Use measurements and
statistics to quantify issues
(e.g., in family, consumer
science situations).
F. Use measurements to
quantify issues.
• Metric.
         
2.5 A. Invent, select, use and
justify the appropriate
methods, materials and
strategies to solve problems .
A. Select, use and justify the
methods
, materials and
strategies used to solve
problems.
• Problem solving methods
included but are not limited to:
guess and check, working
backwards, solving a simpler
problem, making a graph,
making a model, making a list,
using simulation, drawing a
diagram
, using logical
reasoning, and using algebra.
        Yes
  B. Verify and interpret
results using precise
mathematical language,
notation and representations,
including numerical tables
and equations, simple
algebraic equations and
formulas
, charts , graphs and
diagrams
.
B. Create a visual
representation (e.g.,
illustration, scale drawing,
diagram, table, manipulatives)
of a problem, and use the
visual representation to solve
the problem and explain the
solution using appropriate
mathematical language (oral).
        Yes
  C. Justify strategies and
defend approaches used and
conclusions reached.
C. Justify the solution using
appropriate mathematical
language (oral).
        Yes
  D. Determine pertinent
information in problem
situations and whether any
further information is needed
for solution.
D. Determine whether a
sufficient amount of
information is given in order
to solve the problem.
        Yes
2.6 A. Compare and contrast
different plots of data using
values of mean , median,
mode, quartiles
A. Create picture graphs and
accurate line graphs .
• Use an accurate title and key.
• Examine and organize data
using mean, median, mode
and range.
         
  B. Explain effects of sampling
procedures and missing or
incorrect information
on reliability.
B. Discuss the reliability of
results gathered via
convenience sampling.
         
  C. Fit a line to the scatter plot
of two quantities and describe
any correlation of the
variables
.
C. Draw a scatter plot of two
quantities.
         
  D. Design and carry out a
random sampling procedure.
D. Complete a teacher directed
survey and organize the data
in a frequency table.
         
  E. Analyze and display data
in stem-and-leaf and box-andwhisker
plots.
• Analyze and choose the best
statistical model to display
the data (e.g., line, bar, circle
graph).
E. Display and analyze data
using stem and leaf plots. Use
an accurate title and key.
         
  F. Use scientific and graphing
calculators and computer
spreadsheets to organize and
analyze data.
F. Use a computer to produce
double bar, circle and line
graphs and analyze the data.
• Use the calculator to
determine the mean of a set of
data.
         
  G. Determine the validity of
the sampling method
described in studies published
in local or national
newspapers.
G. Evaluate whether the mean,
median, mode or range of the
data is the best representation
of the given data.
         
  A. Determine the number of
combinations
and
permutations for an event.
A. Make and justify
predictions that are based on
experimental probability.
         
  B. Present the results of an
experiment using visual
representations (e.g., tables,
charts, graphs).
B. After determining all
possible outcomes, identify
the probability of an event.
         
2.7 C. Analyze predictions (e.g.,
election polls).
C. Identify real-life situations
that use probability.
• Express the probability of
the event as a percent.
         
  D. Compare and contrast
results from observations and
mathematical models.
D. Predict outcomes using
sampling.
         
  E. Make valid inferences,
predictions and arguments
based on probability.
E. Make predictions based on
probability.
         
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