Standards
Enduring Understandings
are important ideas that students should carry with them years beyond the
instruction received this year.
Essential Questions
are the most important “big picture” questions students should be able to answer
after completing learning activities.
-
How
do we make a reasonable estimate to solve a problem?
-
What
type of graph is easiest for you to use and understand? Which is the
hardest? Why?
-
How
can we know which operation(s) to use in a problem solving
situation?
-
How
are fractions, decimals, and percents related?
-
How
do the different types of patterns help us 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
- August
 Use
appropriate techniques to estimate, determine, and then justify the
reasonableness of solutions to problems involving whole numbers.
 Recognize and
write representative numbers in different formats (i.e., 30 + 6; 20 + 16; 9
x 4 = 36).
Develop,
use and explain rules about whole number (associative, commutative)
properties to evaluate expressions [i.e., 5 + 3 = 3 + 5, (5 x 6) x 2 = 5 x
(6 x 2)].
Use
estimation strategies to determine reasonable answers in addition and
subtraction.
 Read and
write whole numbers with whole number place value to billions and decimal
place value to hundredths.
Define and
understand equality and inequality.
Standard 2: Patterns and Algebra - August
Use,
explain and demonstrate an understanding of addition and subtraction
patterns in problem solving situations.
Standard 3: Data and
Graphs - August
Read data
(tables, charts, pictographs, line plots, bar graphs, circle graphs, and
line graphs).
Read data
from tables, charts, pictographs, line plots, bar graphs, circle and line
graphs with categorical (i.e., number of pets) and numerical (i.e., heights
of buildings) data.
From a given
scenario, choose the correct graph from possible graph representations.
Standard 5: Measurement - August
Estimate the
length of common objects.
Estimate the
measure of angles (i.e., 90°, less than
90°, greater than
90°).
Select and
use the appropriate unit and tool to measure to the degree of accuracy
required in a particular problem.
Standard 6: Computation - August
Use,
explain, and demonstrate the understanding of the four basic operations in
problem-solving situations.
Review
computation of whole numbers without context (addition, subtraction,
multiplication, division)
Use,
explain and demonstrate the understanding of addition and subtraction
operations in problem solving situations, then justify those results with
correct computations.
Use and
explain a variety of estimation techniques to solve problems.
Determine
from real-world problems whether an estimate or exact answer is acceptable.
Standard 1: Number Sense
- September
Read,
write, order, locate, and compare positive fractions, and decimal numbers to
hundredths (including on a number line)Recognize
pictorial representations of common fractions, decimals and percents.
Use
appropriate techniques to estimate, determine, and then justify the
reasonableness of solutions to problems involving whole numbers.
Show
equivalence of common fractions and percents.
Use
estimation strategies to determine reasonable answers in addition and
subtraction.
Recognize &
write representative numbers in different formats (i.e., 30+ 6; 20+16;
9x4=36).
Compare
commonly used proper fractions and terminating decimals.
Define and
understand equality and inequality.
Develop, use
and explain rules about whole number properties (associative, commutative,
distributive).
Use number
sense to estimate sums and differences of fractions and decimals (i.e., 5/6
+ 7/8 must be equal to an amount less than 2, since each fraction is less
than 1).
Standard 2: Patterns and
Algebra - September
Analyze and
describe patterns using words, tables and graphs.
Standard 3: Data and Graphs - September
Organize and
construct displays of data including tables, charts, pictographs, line
plots, bar graphs, circle graphs and line graphs from a given set of data
using appropriate tools including technology and pencil/paper.
Analyze and
draw conclusions about tables, charts, line graphs, bar graphs, pictographs,
and line plots.
Read data
from tables, charts, pictographs, line plots, bar graphs, circle and line
graphs with categorical (i.e., number of pets) and numerical (i.e., heights
of buildings) data.
Describe how
data collections methods affect the nature of a data set.
Distinguish
between median and mode of a set of data.
Identify
mean, median, mode and range of data.
From a given
scenario, choose the correct graph from possible graph representations.
Standard 4: Geometry - September
Identify,
compare, and analyze two-dimensional shapes by attributes (acute angles,
obtuse angles, right angles, parallel lines, perpendicular lines,
intersecting lines, congruence, similarity, rays, lines, line segments,
etc.)
Standard 5: Measurement - September
Determine the
appropriate unit of measure (metric or US customary) when estimating
distance, capacity, weight, and temperature.
Select and
use the appropriate unit and tool to measure to the degree of accuracy
required in a particular problem.
Generate a
hypothesis or conjecture and solve measurement problems of appropriate
complexity created from real-world problems.
Estimate the
measure of angles (i.e., 90°,
less than 90°,
greater than 90°).
Standard 6: Computation - September
Use, explain,
and demonstrate the understanding of the four basic operations in
problem-solving situations.
Using number
sentences and any of the four basic operations, create and illustrate “real”
problems with whole numbers.
Use, explain
and demonstrate the understanding of addition and subtraction operations in
problem solving situations, then justify those results with correct
computations.
Use and
explain a variety of estimation techniques to solve problems.
Evaluate math
reasoning in written and pictorial forms.
Using
concrete materials or pictures, determine commonly-used percentages (i.e.,
25%, 50%, etc.) in problem-solving situations.
Determine
from real-world problems whether an estimate or exact answer is acceptable.
Determine
whether information given in a problem is sufficient, insufficient, or
extraneous.
Standard 1: Number Sense - October
Read, write,
compare, order & place on a number line common fractions (i.e., ½, 1/3, 1/4/
1/8, 1/10), decimals and percentages.
Read, write,
order, locate, and compare positive fractions, and decimal numbers to
hundredths (including on a number line).
Recognize
pictorial representations of common fractions, decimals and percents.
Show
equivalence of common fractions and percents.
Use
estimation strategies to determine reasonable answers in addition and
subtraction.
Compare
commonly used proper fractions and terminating decimals.
Use number
sense to estimate sums and differences of fractions and decimals (i.e., 5/6
+ 7/8 must be equal to an amount less than 2, since each fraction is less
than 1).
Standard 2: Patterns and
Algebra - October
Recognize,
explain and extend a linear pattern in a problem solving situation.
Analyze and
describe patterns using words, tables and graphs.
Standard 3: Data and Graphs - October
Organize and
construct displays of data including tables, charts, pictographs, line
plots, bar graphs, circle graphs and line graphs from a given set of data
using appropriate tools.
Analyze and
draw conclusions about tables, charts, line graphs, bar graphs, pictographs,
and line plots.
Read data
from tables, charts, pictographs, line plots, bar graphs, circle and line
graphs with categorical (i.e., number of pets) and numerical (i.e., heights
of buildings) data.
Describe how
data collections methods affect the nature of a data set.
Distinguish
between median and mode of a set of data.
Identify
mean, median, mode and range of data.
Standard 4: Geometry - October
Identify,
compare, and analyze two-dimensional shapes by attributes (acute angles,
obtuse angles, right angles, parallel lines, perpendicular lines,
intersecting lines, congruence, similarity, rays, lines, line segments,
etc.)
Standard 5: Measurement - October
Select and
use the appropriate unit and tool to measure to the degree of accuracy
required in a particular problem (i.e., degree of angle, nearest ¼ inch).
Determine the
appropriate unit of measure (metric or US customary) when estimating
distance, capacity, weight, and temperature.
Generate a
hypothesis or conjecture and solve measurement problems of appropriate
complexity created from real-world problems.
Standard 6: Computation - October
Using number
sentences and any of the four basic operations, create and illustrate “real”
problems with whole numbers.
Use, explain,
and demonstrate the understanding of the four basic operations in
problem-solving situations.
Use and
explain a variety of estimation techniques to solve problems.
Using
concrete materials or pictures, determine commonly-used percentages (i.e.,
25%, 50%, etc.) in problem-solving situations.
Determine
whether information given in a problem is sufficient, insufficient, or
extraneous. |
