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1
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Recognize,
describe and extend numerical and geometric patterns.
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2
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Represent
and record patterns and relationships in a variety of ways including
tables, charts and pictures.
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3
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Use
patterns to describe real-world phenomena.
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4
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Explore
various types of numeric and geometric patterns (repeating, growing,
shrinking).
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5
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Apply
their experiences with patterns to help solve problems and explore new
content.
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6
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Recognize
change and variability when it occurs in a variety of settings.
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7
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Recognize
that change is often predictable, but variable, and that patterns
emerge that help to describe the change.
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8
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Explore
change, and realize that changes are frequently interdependent.
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9
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Use
tables, charts, open sentences and hands-on models to represent change
and variability.
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10
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Begin
to describe and differentiate between types of relationships,
especially repeating, growing and shrinking patterns.
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11
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Explore
variability and change in a variety of contexts, investigations and
problems.
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12
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Compare
attributes of objects; develop standard units of measurement; and
select and use standard tools for measurement.
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13
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Identify
the attribute to be measured and select the appropriate unit of
measurement for length, mass, weight, area, perimeter, capacity, time,
temperature and money.
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14
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Develop
strategies for estimating measures and compare the estimates to the
results of the measurement; decide if an estimate is "a good
estimate."
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15
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Explain
the meaning of measurements and recognize that the number of units it
takes to measure an object is related to the size of the unit.
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16
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Explore
scale drawings, models and maps and relate them to measurements of
real objects.
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17
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Apply
measurement to describe the real world and to solve problems.
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18
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Locate
and describe objects in terms of their position, including front,
back, inside, outside, right, left, over, under, next to, between and
locations on the number line on a coordinate graph and on a map.
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19
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Locate
and describe objects in terms of their orientation, direction and
relative position, including up, down, back, N-S-E-W, flipped, turned,
translated; recognize symmetrical objects and identify their lines of
symmetry.
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20
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Explore
what happens to the size, shape and position of an object after
sliding, flipping, turning, enlarging or reducing it.
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21
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Use
concepts of position, direction and orientation to describe the
physical; world and to solve problems.
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22
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Recognize
and name familiar shapes in one, two and three dimensions such as
lines, rectangles and spheres and informally discuss the shape of a
graph.
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23
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Describe
the attributes of familiar shapes.
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24
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Compare,
sort and classify familiar shapes.
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25
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Draw
and build familiar shapes.
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26
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Explore
ways to combine, dissect and transform shapes.
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27
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Recognize
parallel and perpendicular line segments and figures that have
similarity and/or congruence.
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28
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Use
shape, shape properties and shape relationships to describe the
physical world and to solve problems
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29
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Collect
and explore data through counting, measuring and conducting surveys
and experiments
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30
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Organize
data using concrete objects, pictures, tallies, tables, charts,
diagrams and graphs.
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31
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Present
data using a variety of appropriate representations and explain the
meaning of the data.
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32
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Identify
what data are needed to answer a particular question or solve a given
problem, and design and implement strategies to obtain, organize and
present those data.
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33
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Read
and explain data they have collected and organized themselves and
progress to reading data from other sources.
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34
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Describe
the shape of the data using informal language.
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35
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Draw,
explain and justify conclusions, such as trends based on data.
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36
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Raise
and answer questions about the source, collection, organization and
presentation of data, as well as the conclusions drawn from the data;
explore biases in data.
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37
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Formulate
questions and problems and gather and interpret data to answer those
questions.
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38
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Make
and test hypotheses
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39
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Conduct
surveys, samplings and experiments to solve problems and answer
questions of interest to them.
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40
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Formulate
and communicate arguments and conclusions based on data and evaluate
their arguments and those of others.
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41
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Make
and explain predictions based on data.
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42
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Make
predictions to answer questions and solve problems.
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43
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Develop
an understanding of whole numbers; and read, write and count using
whole numbers; investigate basic concepts of fractions and decimals
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44
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Investigate
and develop an understanding of the base 10, place-value system.
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45
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Develop
an understanding of the properties of numbers (e.g., order) and of the
properties of the special numbers 0 and 1.
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46
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Apply
their understanding of number systems to model and solve problems.
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47
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48
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Use
part-whole relationships to explore numbers, develop number concepts
and understand computation.
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49
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Compare
and order numbers using "equal," "less than" or
"greater than."
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50
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Apply
their understanding of number relationships in solving problems.
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51
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Represent
whole numbers, fractions and decimals using concrete, pictorial and
symbolic representations.
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52
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Explore
and recognize different representations for the same number and
explain why they are the same.
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53
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Investigate
ways numbers are used (e.g., counting, ordering, naming, locating,
measuring).
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54
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Develop
strategies for estimating quantity and evaluate the reasonableness of
their estimates
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55
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Select
appropriate numbers and representations in order to solve problems
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56
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Explain
the difference between chance and certainty and give Examples to
illustrate their understanding.
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57
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Compare
events and describe them as "more likely" or "less
likely" and use the language of fractions to describe simple
probabilities.
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58
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Conduct
experiments with concrete objects to explore concepts and develop an
intuitive understanding of how the conditions of the experiment can
affect the outcome.
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59
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Conduct
experiments, record the outcomes, and examine those outcomes to
determine if they make sense and search for explanations of the
outcomes.
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60
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Conduct
probability experiments and simulations to model and solve problems.
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61
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Use
manipulatives and diagrams to explore problems involving counting and
arranging objects.
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62
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Explore
sets and set relationships by sorting and classifying objects.
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63
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Explore
situations in which they model and trace paths using figures
consisting of vertices connected by edges.
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64
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Explore
now-next patterns.
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65
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Explore,
develop and invent their own algorithms to accomplish a task or to
solve numerical problems.
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Compiled
By Imad Fadlallah, Stout Middle School. 2002
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