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STANDARD 1. The
student understands and applies the concepts and procedures of
mathematics
1.1 NUMBER
SENSE
* Applies the four
computational processes with whole numbers in solving multi-step
problems
* Develops conceptual
understanding of computational processes with fractions and
decimals
* Uses addition,
subtraction, and multiplication of fractions and decimals in
solving problems
* Experiences
introductory activities with ratio, proportion, and percent and
their application in real-world contexts
* Explores primes,
composites, greatest common factor/divisor, least common multiple,
and prime factorization, and applies these understandings in
solving real-world problems
* Understands concepts
related to negative integers
* Explores number
patterns involving odd and even numbers, multiples, and
divisibility
* Uses estimation to
assess reasonableness of answers
1.2
MEASUREMENT
* Understands concepts of
dimension, area, and volume
* Explores and creates
methods to find perimeters, areas, and volumes of common geometric
shapes
* Explores the use of
standard measuring tools, including protractor and compass
* Understands the concept
of rate when using scale models, maps, etc.
* Uses familiarity with
both metric and customary units to convert among units within a
system using tables of measures
1.3
GEOMETRIC SENSE
* Identifies and
constructs lines, angles, perpendiculars, polygons, and
circles
* Understands
construction of polyhedra (prisms, pyramids, cylinders,
cones)
* Classifies angles by
their measure
* Classifies angles,
triangles, and quadrilaterals
* Explores
transformations (slides, flips and turns)
* Graphs ordered pairs on
the full coordinate plane
1.4 PROBABILITY AND
STATISTICS
* Finds probability of
independent events
* Counts outcomes using
tree diagrams
* Conducts experiments to
determine experimental probabilities and uses results to make
predictions
* Uses line plots, bar
graphs, pictographs, line graphs, and circle graphs to organize and
display data
* Finds the range, mean,
median, and mode for a set of data and uses these measures to
interpret the data
* Interprets information
given in tables and graphs
* Explores functional
relationships in number patterns and determines rules for
data
* Applies order of
operation rules in simplifying numerical expressions to solve
problems
* Writes expressions with
variables to define real-world relationships
* Expresses relationships
among numbers using =, >, <
* Solves simple equations
using addition, subtraction, multiplication and division
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Instructional Support
Materials
*
Connected
Mathematics
Instructional
Strategies
1.1
* Mental Math
* Practice solving
multi-step problems
* Interpret everyday
situations involving fractions, decimals, percents
* Break difficult
computation problems into manageable parts
* Compare and order
fractions, decimals, and percents using a variety of models
* Use models and
real-world examples to make clear the concept of positive and
negative integers
1.2
* Decide when precise
measurement is required and when estimates are sufficient
* Practice measuring
items around the classroom/school using a variety of measuring
tools (some with U.S. measurements and some with
metric)
1.3
* Create geometric art
while exploring such concepts as rotational and mirror symmetry and
slides, flips, and turns
* Practice graphing on
the full coordinate plane using games such as Hurkle and graphing
pictures
* Use literacy strategies
such as taxonomy, defining format, and list/group/label to become
familiar with the vocabulary
1.4
* Explore different ways
of recording the outcomes of theoretical probability
* Interpret tables and
graphs drawn from numerous sources (e.g., newspapers, textbooks,
magazines)
* Create graphs
of data that are appropriately and clearly labeled
1.5
* Build designs that
change in a regular way and/or grow according to number
patterns
* Explore the order of
operation rules
* Practice writing and
solving simple equations based on real-world
situations
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Standard 2. The
student understands the meaning of what is
read
* Searches systematically
for patterns in simple situations
* Develops, uses and
explains a variety of strategies and approaches
* Identifies what
information is necessary to solve a given problem
* Defines question to be
answered in a given problem
* Organizes relevant
available information to develop solutions
* Selects and uses
appropriate mathematical tools to develop
solutions
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Instructional Support
Materials
*
Connected
Mathematics
* Introduce students to
strategies such as, make a picture, guess and check, look for a
pattern, make an organized list, make a table, solve a simpler
problem, and work backwards
* Share and explain
alternate solutions in class
* Analyze problems
sentence by sentence using a strategy like progressive
disclosure
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