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Enduring Understandings
- important ideas
that students should carry with them years beyond the instruction received
this year.
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Numbers can be represented, ordered, and communicated in many different
forms.
Numbers have properties.
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Solutions must be reasonable.
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Data can be used and represented in many forms.
Data can be used to draw conclusions.
Data can be used and represented in many forms.
Data can be used to draw conclusions and make predictions.
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Computation is a vital mathematical tool.
Computation and reasoning are a vital mathematical tools.
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There are different ways of estimating.
Essential Questions - most important
“big picture” questions students should be able to answer after completing
learning activities.+
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How do you demonstrate equivalent numbers using various forms?
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Why do we need to represent, order, and communicate numbers?
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When and how should you use a number line?
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How are the properties of numbers similar to the rules of a game?
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When is the "correct" answer not the best solution?
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How would you organize and construct displays of data?
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What conclusions would you make from a variety of data organizers?
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How do you choose the most appropriate measure of central tendency to
use in a given situation?
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What real world problems involve finding and using the range of a set of
data?
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How would you analyze data to predict future outcomes?
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When would you use addition and subtraction of fractions and decimals in
real world situations?
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How do you select, apply, and explain the strategies chosen to solve a
problem involving fractions and decimals?
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How can you demonstrate math computations with whole numbers?
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How do you select, apply, and explain which technique to use when
estimating
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How do you select and apply computational methods to solve a problem
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How do you justify your solution as reasonable?
Standards:
 Highest
Frequency
 High
Frequency
 Other
Standards and E-Skills
Standard 1: (Number Sense) Students develop number sense and use numbers
and number relationships in problem solving situations and communicate the
reasoning in solving these problems.
Demonstrate square numbers using pictures, words, and/or
symbols.
Identify and use the concepts of factor, multiple, prime,
composite and square numbers
Know the divisibility rules for 2, 3, 5, 6, 9, and 10.
Describe numbers by their characteristics
Apply and justify properties of numbers (associative,
commutative, identity, distributive, multiplicative property of 0) for
positive rational numbers
Standard 3: (Probability and Statistics) Students use data collection and
analysis, statistics, and probability in problem-solving situations and
communicate the reasoning and processes used in solving these problems.
Organize and construct a line graph, bar graph, and frequency
table from a set of data
Interpret and draw conclusions from a variety of visual data
forms
Determine and use measures of central tendency
Find the range from a given set of data
Analyze, draw conclusions, and predict outcomes from data
displays
Standard 6:
(Computation) Students link concepts and procedures as they develop and use
computational techniques, including estimation, mental arithmetic,
paper-and-pencil, calculators, and computers, in problem-solving situations
and communicate the reasoning involve
Apply order of operations
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