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STANDARDS
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BENCHMARKS
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| Demonstrate
knowledge and use of numbers and their representations
in a broad range of theoretical and practical settings. |
6.A.2 Compare and
order whole numbers, fractions an decimals using concrete
materials, drawings and mathematical symbols. |
| Investigate,
represent and solve problems using number facts, operations
(addition, subtraction, multiplication, division) and
their properties, algorithms and relationships. |
6.B.2 Solve one-
and two-step problems involving whole numbers, fractions
and decimals using addition, subtraction, multiplication
and division. |
| Compute and
estimate using mental mathematics, paper-and-pencil
methods, calculators and computers. |
6.C.2a Select and
perform computational procedures to solve problems
with whole numbers, fractions and decimals. |
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6.C.2b Show evidence
that computational results using whole numbers, fractions
and decimals are correct and/or that estimates are
reasonable. |
| Solve problems
using comparison of quantities, ratios, proportions
and percents. |
6.D.2 Describe the
relationship between two sets of data using ratios
and appropriate notations (e.g., a/b, a to b, a:b). |
| Measure and
compare quantities using appropriate units, instruments
and methods. |
7.A.2a Calculate,
compare and convert length, perimeter, area, weight/mass
and volume within the customary and metric systems. |
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7.A.2b Solve addition,
subtraction, multiplication and division problems using
currency. |
| Estimate measurements
and determine acceptable levels of accuracy. |
7.B.2a Determine
and communicate possible methods for estimating a given
measure, selecting proper units in both customary and
metric systems. |
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7.B.2b Estimate conversions
between measures within the customary and metric systems. |
| Select and
use appropriate technology, instruments and formulas
to solve problems, interpret results and communicate
findings. |
7.C.2a Describe relationships
in a simple scale drawing. |
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7.C.2b Construct
or draw figures with given perimeters and areas. |
| Describe numerical
relationships using variables and patterns. |
8.A.2a Identify,
describe, extend and create geometric and numeric patterns. |
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8.A.2b Construct
and solve number sentences using a variable to represent
an unknown quantity. |
| Interpret and
describe numerical relationships using tables, graphs
and symbols. |
8.B.2 Analyze
a geometric pattern and express the results numerically. |
| Solve problems
using systems of numbers and their properties. |
8.C.2 Explain operations
and number properties including commutative, associative,
distributive, transitive, zero, equality and order
of operations. |
| Use algebraic
concepts and procedures to represent and solve problems. |
8.D.2 Solve linear
equations involving whole numbers. |
| Demonstrate
and apply geometric concepts involving points, lines,
planes and space. |
9.A.2a Build physical
models of two- and three-dimensional shapes. |
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9.A.2b Identify and
describe how geometric figures are used in practical
settings (e.g., construction, art, advertising). |
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9.A.2c Describe and
draw representations of geometric relationships, patterns,
symmetries, and designs in two- and three-dimensions
with and without technology. |
| Identify, describe,
classify and compare relationships using points, lines,
planes and solids. |
9.B.2 Compare geometric
figures and determine their properties including parallel,
perpendicular, similar, congruent and line symmetry. |
| Construct convincing
arguments and proofs to solve problems. |
9.C.2 Formulate logical
arguments about geometric figures and patterns and
communicate reasoning. |
| Use trigonometric
ratios and circular functions to solve problems. |
n/a |
| Organize, describe
and make predictions from existing data. |
10.A.2a Organize
and display data using pictures, tallies, charts, bar
graphs, line graphs, line plots and stem-and-leaf graphs. |
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10.A.2b Using a data
set, determine mean, median, mode and range, with and
without the use of technology. |
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10.A.2c Make predictions
and decisions based on data and communicate their reasoning. |
| Formulate questions,
design data collection methods, gather and analyze
data and communicate findings. |
10.B.2a Formulate
questions of interest and select methods to systematically
collect data. |
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10.B.2b Collect,
organize and display data using tables, charts, bar
graphs, line graphs, circle graphs, line plots and
stem-and-leaf graphs. |
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10.B.2c Analyze the
data using mean, median, mode and range, as appropriate,
with or without the use of technology. |
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10.B.2d Interpret
results or make relevant decisions based on the data
gathered. |
| Determine, describe
and apply the probabilities of events. |
10.C.2a Calculate
the probability of a simple event. |
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10.C.2b Compare the
likelihood of events in terms of certain, more likely,
less likely or impossible. |
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10.C.2c Determine
the probability of an event involving "and", "or" or "not". |
