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Planned Instruction for Math- Grade 6

Code Standard Content - Benchmark P Time Materials/Strategies/Activities CET PSSA
2.8 A. Apply simple algebraic
patterns to basic number
theory and to spatial
relations		 A. Create, describe and extend
patterns.		          
  B. Discover, describe and
generalize patterns, including
linear, exponential
and simple quadratic
relationships.
• Exponential graph of
powers of 2
• Graph : y = x + 2
• Graph : y = x 2 + 2		 B. Discover and graph linear
patterns (Quadrant I).
Understand that a linear
function results from a
constant rate of change.		          
  C. Create and interpret
expressions, equations or
inequalities that model
problem situations.
• Use algebra to simplify
expressions.
• Use algebra to evaluate
expressions.
• Use symbolic notation..		 C. Solve one step equations
that model problem situations.		          
  D. Use concrete objects to
model algebraic concepts.
• Tiles
• Two-sided chips
• Algebraic balances		 D. Use concrete objects to
model algebraic concepts with
one variable.
• Algebraic balances
• Blocks
• Chips or counters
• Number tiles		          
  E. Select and use a strategy to
solve an equation or
inequality, explain the
solution and check the
solution
for accuracy. • Solve any
graph inequalities.		 E. Select and use a strategy to
solve a one step equation.
Check the solution for
accuracy.
• Use manipulatives.
• Solve by using inverse
operations
• Solve by guess and check		          
  F. Solve and graph equations
and inequalities using
scientific and graphing
calculators and computer
spreadsheets.		 F. Solve equations using a
scientific calculator (any
calculator that does order of
operations).		          
  G. Represent relationships
with tables or graphs in the
coordinate plane and verbal
or symbolic rules.		 G. Understand the concept of
a variable.
• Complete input/output
tables. State the rule (using a
variable) for input/output
tables.		          
  H. Graph a linear function
from a rule or table.		 H. Graph a linear pattern.          
  I. Generate a table or graph
from a function and use
graphing calculators and
computer spreadsheets to
graph and analyze functions.		 I. Create input/output rule.
Create a table from the rule.
Graph the table values
(Quadrant I only).		          
  J. Show that an equality
relationship between two
quantities remains the same
as long as the same
change is made to both
quantities; explain how a
change in one quantity
determines another quantity
in a functional relationship.		 J. Show that an equality
relationship between two
quantities remains the same as
long as the same change is
made to both quantities.
• Use an algebraic balance to
demonstrate that doubling
both sides will keep the
equation balanced.		          
2.9 A. Construct figures
incorporating perpendicular
and parallel lines, the
perpendicular bisector of a
line segment and an angle
bisector using computer
software.		 A. Draw and label points, lines
(perpendicular, intersecting,
and parallel) and planes.
Describe the relationships of
points, lines and planes.		         Yes
  B. Draw, label, measure and
list the properties of
complementary,
supplementary and vertical
angles.		 B. Identify complementary
and supplementary angles.		         Yes
  C. Classify familiar polygons
as regular or irregular up to a
decagon.		 C. Classify and compare
polygons (up to decagon)
according to sides and angles.		         Yes
  D. Identify, name, draw and
list all
properties of squares, cubes,
pyramids,
parallelograms,
quadrilaterals, trapezoids,
polygons, rectangles, rhombi,
circles, spheres, triangles,
prisms and cylinders.		 D. Identify and list the
properties of squares,
rectangles, parallelograms,
and triangles .
• Identify the relationship
between two and threedimensional
shapes.
• Draw squares, rectangles and
circles.		         Yes
  E. Construct parallel lines,
draw a transversal and
measure and compare angles
formed (e.g., alternate
interior and exterior angles).		 E. Identify and draw parallel
lines.		         Yes
  F. Distinguish between
similar and congruent
polygons.		 F. Identify congruent polygons         Yes
  G. Discover the ratio Π(pi)
using measures of
circumference and diameter
with various real circles.		 G. Recognize the value Π.         Yes
  H. Use simple geometric
figures (e.g., triangles,
squares) to create, through
rotation, transformational
figures in three dimensions.		 H.
• Create a three dimensional
shape or design by translating
a polygon.
• Pattern blocks can be used to
model translations.		         Yes
  I. Generate transformations
using computer software.		 I. Generate translations using
computer software.		         Yes
  J. Analyze geometric patterns
(e.g., tessellations, sequences
of shapes) and develop
descriptions of
of the patterns.		 J. Draw translations using grid
paper and describe the move.		         Yes
  K. Analyze objects to
determine whether
they illustrate tessellations,
symmetry,
congruence, similarity and
scale.		 K. Analyze objects to
determine whether they
illustrate line symmetry or
congruence		         Yes
2.10 A. Compute measures of sides
and angles using proportions,
the Pythagorean Theorem
and right triangle
relationships.		 A. Draw right triangles and
measure lengths of legs and
the hypotenuse. Discover that
the hypotenuse needs to be the
longest side.		          
  B. Solve problems requiring
indirect measurement for
lengths of sides of triangles.		 B. Identify similar triangles in
real world situations.		          
  A. Analyze graphs of related
quantities for minimum and
maximum values and justify
the findings.		 A. Identify least and greatest
values represented in a variety
of graphs. Compare numbers
and real-life quantities using
ordering symbols (>,<,≥,≤).		          
2.11 B. Describe the concept of
unit rate, ratio and slope in
the context of rate of change.		 B. Examine linear (constant)
rates of change in real life
situations using tables to
organize and graphs to
display the data.
• Miles per hour.
• Pay per hour.		          
  C. Continue a pattern of
numbers or objects that could
be extended infinitely.		 C. Continue patterns of
numbers and objects.
• Long division with repeating
decimals.
• Input/output tables.
• Designs with pattern blocks.