Standards
Enduring Understandings
are important ideas that students should carry with them years beyond the
instruction received this year.
-
Recognizing patterns helps us make sense of our world.
-
Graphics are tools used to clarify data.
-
Estimation and computation are vital skills necessary for communicating
mathematical reasoning.
-
There are relationships between fractions, decimals and percents.
-
Mathematical operations have inverses.
-
We
make predictions based on probability and/or statistics.
Essential Questions
are the
most important “big picture” questions students should be able to answer
after completing learning activities.
-
What
can patterns reveal? How do the many types of patterns help us solve
problems?
-
How
can graphic representations of data help us solve problems?
-
Why
be fluent at computation? How are computation skills and techniques used
strategically in real-world situations?
-
How
do algorithms work in addition, subtraction, division, and
multiplication?
-
How
does using estimation help determine the reasonableness of solutions?
-
How
do fractions, decimals, and percents relate?
-
What
are the inverse operations?
-
What
information is necessary to solve problems?
CSAP
Tested Standards
Highest Frequency
 High
Frequency
 Other
Standards and E-Skills
Highest Frequency = the timing, intensity and
level of accountability is extremely high because mastery of these
skills will must be demonstrated in multiple test items on CSAP at
this grade level.
High
Frequency = the timing, intensity and level of
accountability is high because mastery of these skills will be
tested at this grade level.
Other
Standards and E-Skills = the timing, intensity, and level of mastery are
not urgent. It should be introduced during this time so students can
experience the concept and return in future quarters to strive
towards mastery. |
Standard 1: Number
Sense - January
 Locate
on a number line, order and compare fractions, decimals (including mixed
numbers) and percents.
Convert
between fractions, decimals, and percents.
Determine
reasonableness of answers in ordering and comparing decimals and fractions
in real-world situations.
Standard 2: Patterns
and Algebra - January
In a pattern,
explain how a change in one number results in a change in another number
(addition, subtraction, multiplication, division within If/Then statements,
In/Out boxes, function tables, rule statements).
Recognize,
explain and extend linear (i.e., ascending or descending pattern) and
non-linear (i.e., use the rule of 4+3-2) patterns in a problem solving
situation.
 Match
a description of a situation/pattern with its continuous graph.
Standard 3: Data and
Graphs - January
Interpret,
analyze, draw conclusions, and make convincing arguments from tables,
charts, line graphs, circle graphs, bar graphs, pictographs and line plots.
Use
fractions to represent the probability of events that are neither certain
nor impossible.
Solve
problems using strategies from finding all possible combinations and
arrangements.
Choose
and apply a strategy to solve real-world problems using probability.
Evaluate
the solutions/arguments of real-world problems for reasonableness in
probability.
Standard 4: Geometry
- January
Given
a coordinate graph, read coordinate pairs in quadrant one.
Create
geometric shapes with given attributes within a coordinate plane.
Choose
the coordinate graph, which represents a given data set.
Use
maps and grids to locate points, create paths, and measure distances within
a coordinate system.
Standard 5:
Measurement – January
Read,
interpret, and use/apply scales on number lines, graphs, and maps.
Select
the appropriate scale (i.e., using the appropriate scale when setting up a
graph).
Find
the perimeter and area of rectangles and squares, using the appropriate
units.
Identify
the essential components of mathematical real-world problems using area,
perimeter and symmetry.
Choose
and apply a strategy to solve real-world problems using measurement
techniques.
Standard 6:
Computation - January
Demonstrate
the conceptual meaning of the four basic arithmetic operations using whole
numbers and decimals (including money).
Compute
money earned using pay rates.
Multiply
a number by two- and three-digit number using whole numbers and decimals.
Divide
a three-digit number by a one-digit number, and by a two-digit number using
decimals and whole numbers.
Select
and use an appropriate method to solve single-step and multi-step problems
(mental math, estimation, paper/pencil, diagram, calculator)
Use
estimation strategies to determine reasonable answers in addition,
subtraction, multiplication and division.
Use,
explain, draw a non-linguistic representation, and demonstrate the
understanding of the four basic operations in problem-solving situations.
Explain
mathematical reasoning in written and pictorial forms.
Standard 1: Number
Sense - February
Locate
on a number line, order and compare fractions, decimals (including mixed
numbers) and percents.
Convert
between fractions, decimals, and percents.
Determine
reasonableness of answers in ordering and comparing decimals and fractions
in real-world situations.
Explain
clearly the strategy used for ordering and comparing fractions and decimals.
Standard 2: Patterns
and Algebra - February
Recognize,
explain and extend linear (i.e., ascending or descending pattern) and
non-linear (i.e., use the rule of 4+3-2) patterns in a problem solving
situation.
In
a pattern, explain how a change in one number results in a change in another
number (addition, subtraction, multiplication, division within If/Then
statements, In/Out boxes, function tables, rule statements).
Match
a description of a situation/pattern with its continuous graph.
Standard 3: Data and
Graphs - February
Interpret,
analyze, draw conclusions, and make convincing arguments from tables,
charts, line graphs, circle graphs, bar graphs, pictographs and line plots.
Use
fractions to represent the probability of events that are neither certain
nor impossible.
Solve
problems using strategies from finding all possible combinations and
arrangements.
Choose
and apply a strategy to solve real-world problems using probability, then
evaluate for reasonableness.
Standard 4: Geometry
- February
Predict
and describe the results of a flip (reflection), a slide (translation), or a
turn (rotation) of a two-dimensional shape.
Given
a coordinate graph, read coordinate pairs in quadrant one.
Create
geometric shapes with given attributes within a coordinate plane.
Choose
and apply a strategy to solve mathematical and real-world problems involving
maps, grids, and the coordinate system.
Standard 5:
Measurement - February
Read,
interpret, and use/apply scales on number lines, graphs, and maps.
Select
the appropriate scale (i.e., using the appropriate scale when setting up a
graph).
Create
simple scale drawings to demonstrate how changing one of the dimensions of a
rectangle affects its perimeter and/or area.
Find
the perimeter and area of rectangles and squares, using the appropriate
units.
Choose
and apply a strategy to solve real-world problems using measurement.
Standard 6:
Computation - February
Use
and explain strategies to add and subtract commonly-used fractions with like
denominators (i.e., ¼, ½, 1/3).
Using
multiplication and division to solve and evaluate the solutions/arguments of
mathematical and real-world problems for reasonableness.
Compute
money earned using pay rates.
Demonstrate
the conceptual meaning of the four basic arithmetic operations using whole
numbers and decimals (including money).
Compute
money earned using pay rates.
Multiply
a number by two- and three-digit number using whole numbers and decimals.
Divide
a three-digit number by a one-digit number, and by a two-digit number using
decimals and whole numbers.
Select
and use an appropriate method to solve single-step and multi-step problems.
Use
estimation strategies to determine reasonable answers in addition,
subtraction, multiplication and division.
Use,
explain, draw a non-linguistic representation, and demonstrate the
understanding of the four basic operations in problem-solving situations.
Explain
mathematical reasoning in written and pictorial forms.
Standard 1: Number
Sense - March
Locate
on a number line, order and compare fractions, decimals (including mixed
numbers) and percents.
Convert
between fractions, decimals, and percents.
Determine
reasonableness of answers in ordering and comparing decimals and fractions
in real-world situations.
Order
and compare negative numbers.
Explain
clearly the strategy used for ordering and comparing fractions and decimals.
Standard 2: Patterns
and Algebra - March
Recognize,
explain and extend linear (i.e., ascending or descending pattern) and
non-linear (i.e., use the rule of 4+3-2) patterns in a problem solving
situation.
Analyze
and describe patterns using words, tables and graphs.
Recognize
that a variable is used to represent an unknown quantity.
In
a pattern, explain how a change in one number results in a change in another
number (addition, subtraction, multiplication, division within If/Then
statements, In/Out boxes, function tables, rule statements).
Match
a description of a situation/pattern with its continuous graph.
Standard 3: Data and
Graphs - March
Interpret,
analyze, draw conclusions, and make convincing arguments from tables,
charts, line graphs, circle graphs, bar graphs, pictographs and line plots.
Use
fractions to represent the probability of events that are neither certain
nor impossible.
Solve
problems using strategies from finding all possible combinations and
arrangements.
Choose
and apply a strategy to solve real-world problems using probability, then
evaluate for reasonableness.
Standard 4: Geometry
- March
Given
a coordinate graph, read coordinate pairs in quadrant one.
Create
geometric shapes with given attributes within a coordinate plane.
Predict
and describe the results of a flip (reflection), a slide (translation), or a
turn (rotation) of a two-dimensional shape.
Choose
the coordinate graph, which represents a given data set.
Choose
and apply a strategy to solve mathematical and real-world problems involving
maps, grids, and the coordinate system.
Standard 5:
Measurement - March
Read,
interpret, and use/apply scales on number lines, graphs, and maps.
Select
the appropriate scale (i.e., using the appropriate scale when setting up a
graph).
Create
simple scale drawings to demonstrate how changing one of the dimensions of a
rectangle affects its perimeter and/or area.
Find
the perimeter and area of rectangles and squares, using the appropriate
units.
Determine
the finish time if the start time and duration are given.
Choose
and apply a strategy to solve real-world problems using measurement
techniques.
Standard 6:
Computation - March
Use
and explain strategies to add and subtract commonly-used fractions with like
denominators (i.e., ¼, ½, 1/3).
Using
multiplication and division to solve and evaluate the solutions/arguments of
mathematical and real-world problems for reasonableness.
Compute
money earned using pay rates.
Demonstrate
the conceptual meaning of the four basic arithmetic operations using whole
numbers and decimals (including money).
Compute
money earned using pay rates.
Multiply
a number by two- and three-digit number using whole numbers and decimals.
Divide
a three-digit number by a one-digit number, and by a two-digit number using
decimals and whole numbers.
Select
and use an appropriate method to solve single-step and multi-step problems.
Use
estimation strategies to determine reasonable answers in addition,
subtraction, multiplication and division.
Use,
explain, draw a non-linguistic representation, and demonstrate the
understanding of the four basic operations in problem-solving situations.
Explain
mathematical reasoning in written and pictorial forms. | 
