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| Mathematics |
Information & Technology
Literacy |
Content Standards:A. Mathematical Processes
B. Number Operations
and Relationships
C. Geometry
D. Measurement
E. Statistics and Probability
F. Algebraic Relationships |
Content Standards:A.
Media and Technology
B. Information and Inquiry
C. Independent Learning
D. The Learning Community |
| A. Mathematical Processes |
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| By the end of grade 4 students will: |
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| A.4.1 Use reasoning abilities
to |
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- formulate questions for further exploration
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- formulate initial questions to define what additional information is neededB.4.1
- determine a specific focus for the information search questionsB.4.1
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- test reasonableness of results
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| A.4.2 Communicate mathematical
ideas in a variety of ways, including words, numbers, symbols, pictures, charts, graphs,
tables, diagrams, and models |
- incorporate graphics, pictures, and sound into another documentA.4.2
- identify a spreadsheet and explain basic spreadsheet terms (e.g., column, row,
cell)A.4.3
- use a prepared spreadsheet template to enter and edit data, and to produce and interpret
a simple graph or chartA.4.3
- use draw, paint or graphics software to create simple signs, posters, banners, charts,
visuals, etc.A.4.5
- recognize the three common types of communication or presentation modes (written, oral,
visual)B.4.7
- choose a presentation format (e.g., speech, paper, web page, video,
hypermedia)B.4.7
- develop a product or presentation to communicate the results of the researchB.4.7
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| A.4.3 Connect mathematical
learning with other subjects, personal experiences, current events, and personal interests |
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- see relationships between various kinds of problems and actual events
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- identify new information and integrate it with prior knowledgeB.4.6
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- use mathematics as a way to understand other areas of the curriculum (e.g.,
measurement in science, map skills in social studies)
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- recognize that materials in the school library media center are organized in a
systematic mannerB.4.3
- locate materials using the classification system of the school library media
centerB.4.3
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| A.4.4 Use appropriate
mathematical vocabulary, symbols, and notation with understanding based on prior
conceptual work |
- identify new information and integrate it with prior knowledgeB.4.6
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| A.4.5 Explain solutions to
problems clearly and logically in oral and written work and support solutions with
evidence |
- determine if information is relevant to the information questionB.4.6
- select information applicable to the information questionB.4.6
- seek additional information if neededB.4.6
- apply the information gathered to solve the information problem or questionB.4.6
- recognize the three common types of communication or presentation modes (written, oral,
visual)B.4.7
- choose a presentation format (e.g., speech, paper, web page, video,
hypermedia)B.4.7
- develop a product or presentation to communicate the results of the researchB.4.7
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| B. Number Operations and Relationships |
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| By the end of grade 4 students will: |
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| B.4.1 Represent and explain
whole numbers, decimals, and fractions with |
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- locate materials using the classification system of the school library media
centerB.4.3
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- number lines and other pictorial models
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- place-value concepts and notation
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- symbolic renaming (e.g., 43 = 40+3 = 30+13)
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| B.4.2 Determine the number of
things in a set by |
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- grouping and counting (e.g., by threes, fives, hundreds)
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- combining and arranging (e.g., all possible coin combinations amounting to
thirty cents)
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- estimation, including rounding
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| B.4.3 Read, write, and order
whole numbers, simple fractions (e.g., halves, fourths, tenths, unit fractions) and
commonly-used decimals (monetary units) |
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| B.4.4 Identify and represent
equivalent fractions for halves, fourths, eighths, tenths, sixteenths |
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| B.4.5 In problem-solving
situations involving whole numbers, select and efficiently use appropriate computational
procedures such as |
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- recalling the basic facts of addition, subtraction, multiplication, and division
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- using mental math (e.g., 37 + 25, 40 x 7)
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- selecting and applying algorithms for addition, subtraction, multiplication, and
division
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- solve problems using the basic four arithmetic functions of a calculator when
appropriateA.4.1
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| C. Geometry |
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| By the end of grade 4
students will: |
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| C.4.1 Describe
two-and three-dimensional figures (e.g., circles, polygons, trapezoids, prisms, spheres)
by |
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- comparing, sorting, and classifying them
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- drawing and constructing physical models to specifications
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- identifying their properties (e.g., number of sides or faces, two- or
three-dimensionality, equal sides, number of right angles)
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- predicting the results of combining or subdividing two-dimensional figures
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- explaining how these figures are related to objects in the environment
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| C.4.2 Use physical
materials and motion geometry (such as slides, flips, and turns) to identify properties
and relationships, including but not limited to |
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| C.4.3 Identify and
use relationships among figures, including but not limited to |
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- location (e.g., between, adjacent to, interior of)
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- position (e.g., parallel, perpendicular)
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- intersection (of two-dimensional figures)
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| C.4.4 Use simple
two-dimensional coordinate systems to find locations on maps and to represent points and
simple figures |
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| D. Measurement |
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| By the end of grade 4
students will: |
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| D.4.1 Recognize
and describe measurable attributes, such as length, liquid capacity, time, weight (mass),
temperature, volume, monetary value, and angle size, and identify the appropriate units to
measure them |
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| D.4.2 Demonstrate
understanding of basic facts, principles, and techniques of measurement, including |
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- appropriate use of arbitrary and standard units (metric and US Customary)
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- appropriate use and conversion of units within a system (such as yards, feet,
and inches; kilograms and grams; gallons, quarts, pints, and cups)
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- judging the reasonableness of an obtained measurement as it relates to prior
experience and familiar benchmarks
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- identify new information and integrate it with prior knowledgeB.4.6
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| D.4.3 Read and
interpret measuring instruments (e.g., rulers, clocks, thermometers) |
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| D.4.4 Determine
measurements directly by using standard tools to these suggested degrees of accuracy |
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- length to the nearest half-inch or nearest centimeter
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- weight (mass) to the nearest ounce or nearest 5 grams
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- temperature to the nearest 5°
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- time to the nearest minute
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- monetary value to dollars and cents
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- liquid capacity to the nearest fluid ounce
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| D.4.5 Determine
measurements by using basic relationships (such as perimeter and area) and approximate
measurements by using estimation techniques |
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| E. Statistics and Probability |
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| By the end of grade 4
students will: |
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| E.4.1 Work with
data in the context of real-world situations by |
B.4.1 Define the
need for information B.4.2 Develop information seeking strategies
B.4.3 Locate and access information sources
B.4.4 Evaluate and select information from a variety
of print, nonprint, and electronic formats
B.4.5 Record and organize information
B.4.6 Interpret and use information to solve the problem or answer the question
B.4.7 Communicate the results of research and inquiry in an appropriate format
B.4.8 Evaluate the information product and process |
- formulating questions that lead to data collection and analysis
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- identify the information problem or question to be resolvedB.4.1
- determine what is already known about the information problem or questionB.4.1
- formulate initial questions to define what additional information is neededB.4.1
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- determining what data to collect and when and how to collect them
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- identify the wide variety of current media formats (e.g., video programs, magazines,
computer software, audio cassettes, CD-ROM and DVD, newspapers, books, the
Internet)A.4.2
- log on and view information from preselected sites on the InternetA.4.4
- use the functions of a web browser to navigate and save World Wide Web sitesA.4.4
- identify and use simple search engines and directoriesA.4.4
- determine a specific focus for the information search questionsB.4.1
- identify possible sources of information including print, nonprint, electronic, and
human resourcesB.4.2
- evaluate possible sources based on currency, genre, and relevance to topicB.4.2
- list steps to follow in carrying out the information searchB.4.2
- locate materials using the classification system of the school library media
centerB.4.3
- identify and use printed or electronic catalogs to access materials in the school
library media centerB.4.3
- search for information by keyword, author, title, and topic or subjectB.4.3
- locate information from preselected Internet sites and web pagesB.4.3
- preview selected resources using table of contents, index, and other simple scanning
strategiesB.4.4
- determine timeliness and validity of information sourcesB.4.4
- recognize that graphics and images can be used to convey a messageB.4.4
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- collecting, organizing, and displaying data
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- use a prepared database template to enter and edit data, and to locate
recordsA.4.3
- use a prepared spreadsheet template to enter and edit data, and to produce and interpret
a simple graph or chartA.4.3
- use draw, paint or graphics software to create simple signs, posters, banners, charts,
visuals, etc.A.4.5
- take notes or record information in their own wordsB.4.5
- record the sources of information as notes are takenB.4.5
- arrange notes to help answer the information problem or questionB.4.5
- organize information using simple outlining techniquesB.4.5
- list basic bibliographic sources for information usedB.4.5
- recognize that a quoted work must be stated in the author's exact wordsD.4.3
- list sources quoted verbatim and visuals used in a presentationD.4.3
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- drawing reasonable conclusions based on data
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- identify new information and integrate it with prior knowledgeB.4.6
- apply the information gathered to solve the information problem or questionB.4.6
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| E.4.2 Describe a
set of data using |
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- high and low values, and range
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- most frequent value (mode)
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- middle value of a set of ordered data (median)
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| E.4.3 In
problem-solving situations, read, extract, and use information presented in graphs,
tables, or charts. |
- incorporate graphics, pictures, and sound into another documentA.4.2
- use a prepared spreadsheet template to enter and edit data, and to produce and interpret
a simple graph or chartA.4.3
- recognize that graphics and images can be used to convey a messageB.4.4
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| E.4.4 Determine if
the occurrence of future events are more, less, or equally likely, impossible, or certain |
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| E.4.5 Predict
outcomes of future events and test predictions using data from a variety of sources |
- identify the wide variety of current media formats (e.g., video programs, magazines,
computer software, audio cassettes, CD-ROM and DVD, newspapers, books, the
Internet)A.4.2
- access information using common electronic reference sources (e.g., indexes, almanacs,
on-line catalogs, encyclopedias)A.4.2
- log on and view information from preselected sites on the InternetA.4.4
- identify possible sources of information including print, nonprint, electronic, and
human resourcesB.4.2
- select more than one resource when appropriateB.4.2
- identify and use printed or electronic catalogs to access materials in the school
library media centerB.4.3
- search for information by keyword, author, title, and topic or subjectB.4.3
- use an encyclopedia, dictionary, almanac, and atlas in print or electronic
formatsB.4.3
- use the index or table of contents of a book, magazine, or reference set to locate
specific informationB.4.3
- locate information from preselected Internet sites and web pagesB.4.3
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| F. Algebraic
Relationships |
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| By the end of grade 4
students will: |
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| F.4.1 Use
letters, boxes, or other symbols to stand for any number, measured quantity, or object in
simple situations (e.g., N + 0 = N is true for any number) |
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| F.4.2 Use
the vocabulary, symbols, and notation of algebra accurately (e.g., correct use of the
symbol "=", effective use of the associative property of multiplication) |
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| F.4.3 Work
with simple linear patterns and relationships in a variety of ways, including |
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- recognizing and extending number patterns
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- representing them with pictures, tables, charts, graphs
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- incorporate graphics, pictures, and sound into another documentA.4.2
- use a prepared spreadsheet template to enter and edit data, and to produce and interpret
a simple graph or chartA.4.3
- use draw, paint or graphics software to create simple signs, posters, banners, charts,
visuals, etc.A.4.5
- recognize that graphics and images can be used to convey a messageB.4.4
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- recognizing that different models can represent the same pattern or relationship
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- recognize different ways to organize ideas, concepts, and phrasesB.4.2
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- using them to describe real-world phenomena
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| F.4.4 Recognize variability in simple functional relationships
by describing how a change in one quantity can produce a change in another (e.g., number
of bicycles and the total number of wheels) |
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| F.4.5 Use
simple equations and inequalities in a variety of ways, including |
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- using them to represent problem situations
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- solving them by different methods (e.g., use of manipulatives, guess and check
strategies, recall of number facts)
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- recording and describing solution strategies
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| F.4.6 Recognize and use generalized properties and
relationships of arithmetic (e.g., commutativity of addition, inverse relationship of
multiplication and division) |
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Matrix prepared by Wisconsin Deparatment of Public
Instruction |
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