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Mathematics / Information & Technology Literacy  Matrix Grade 4

 
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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
By the end of grade 4 students will:
A.4.1 Use reasoning abilities to
  • perceive patterns
  • identify relationships
  • formulate questions for further exploration
  • formulate initial questions to define what additional information is needed—B.4.1
  • determine a specific focus for the information search questions—B.4.1
  • justify strategies
  • test reasonableness of results
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 document—A.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 chart—A.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 research—B.4.7
A.4.3 Connect mathematical learning with other subjects, personal experiences, current events, and personal interests
  • see relationships between various kinds of problems and actual events
  • identify new information and integrate it with prior knowledge—B.4.6
  • use mathematics as a way to understand other areas of the curriculum (e.g., measurement in science, map skills in social studies)
  • recognize that materials in the school library media center are organized in a systematic manner—B.4.3
  • locate materials using the classification system of the school library media center—B.4.3
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 knowledge—B.4.6
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 question—B.4.6
  • select information applicable to the information question—B.4.6
  • seek additional information if needed—B.4.6
  • apply the information gathered to solve the information problem or question—B.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 research—B.4.7
B. Number Operations and Relationships
By the end of grade 4 students will:
B.4.1 Represent and explain whole numbers, decimals, and fractions with
  • physical materials
  • locate materials using the classification system of the school library media center—B.4.3
  • number lines and other pictorial models
  • verbal descriptions
  • place-value concepts and notation
  • symbolic renaming (e.g., 43 = 40+3 = 30+13)
B.4.2 Determine the number of things in a set by
  • grouping and counting (e.g., by threes, fives, hundreds)
  • combining and arranging (e.g., all possible coin combinations amounting to thirty cents)
  • estimation, including rounding
B.4.3 Read, write, and order whole numbers, simple fractions (e.g., halves, fourths, tenths, unit fractions) and commonly-used decimals (monetary units)
B.4.4 Identify and represent equivalent fractions for halves, fourths, eighths, tenths, sixteenths
B.4.5 In problem-solving situations involving whole numbers, select and efficiently use appropriate computational procedures such as
  • recalling the basic facts of addition, subtraction, multiplication, and division
  • using mental math (e.g., 37 + 25, 40 x 7)
  • estimation
  • selecting and applying algorithms for addition, subtraction, multiplication, and division
  • using a calculator
  • solve problems using the basic four arithmetic functions of a calculator when appropriate—A.4.1
C. Geometry
By the end of grade 4 students will:
C.4.1 Describe two-and three-dimensional figures (e.g., circles, polygons, trapezoids, prisms, spheres) by
  • naming them
  • comparing, sorting, and classifying them
  • drawing and constructing physical models to specifications
  • identifying their properties (e.g., number of sides or faces, two- or three-dimensionality, equal sides, number of right angles)
  • predicting the results of combining or subdividing two-dimensional figures
  • explaining how these figures are related to objects in the environment
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
  • symmetry
  • congruence
  • similarity
C.4.3 Identify and use relationships among figures, including but not limited to
  • location (e.g., between, adjacent to, interior of)
  • position (e.g., parallel, perpendicular)
  • intersection (of two-dimensional figures)
C.4.4 Use simple two-dimensional coordinate systems to find locations on maps and to represent points and simple figures  

 

D. Measurement
By the end of grade 4 students will:
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
D.4.2 Demonstrate understanding of basic facts, principles, and techniques of measurement, including
  • appropriate use of arbitrary and standard units (metric and US Customary)
  • appropriate use and conversion of units within a system (such as yards, feet, and inches; kilograms and grams; gallons, quarts, pints, and cups)
  • judging the reasonableness of an obtained measurement as it relates to prior experience and familiar benchmarks
  • identify new information and integrate it with prior knowledge—B.4.6
D.4.3 Read and interpret measuring instruments (e.g., rulers, clocks, thermometers)
D.4.4 Determine measurements directly by using standard tools to these suggested degrees of accuracy
  • length to the nearest half-inch or nearest centimeter
  • weight (mass) to the nearest ounce or nearest 5 grams
  • temperature to the nearest 5°
  • time to the nearest minute
  • monetary value to dollars and cents
  • liquid capacity to the nearest fluid ounce
D.4.5 Determine measurements by using basic relationships (such as perimeter and area) and approximate measurements by using estimation techniques
E. Statistics and Probability
By the end of grade 4 students will:
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
  • identify the information problem or question to be resolved—B.4.1
  • determine what is already known about the information problem or question—B.4.1
  • formulate initial questions to define what additional information is needed—B.4.1
  • determining what data to collect and when and how to collect them
  • 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 Internet—A.4.4
  • use the functions of a web browser to navigate and save World Wide Web sites—A.4.4
  • identify and use simple search engines and directories—A.4.4
  • determine a specific focus for the information search questions—B.4.1
  • identify possible sources of information including print, nonprint, electronic, and human resources—B.4.2
  • evaluate possible sources based on currency, genre, and relevance to topic—B.4.2
  • list steps to follow in carrying out the information search—B.4.2
  • locate materials using the classification system of the school library media center—B.4.3
  • identify and use printed or electronic catalogs to access materials in the school library media center—B.4.3
  • search for information by keyword, author, title, and topic or subject—B.4.3
  • locate information from preselected Internet sites and web pages—B.4.3
  • preview selected resources using table of contents, index, and other simple scanning strategies—B.4.4
  • determine timeliness and validity of information sources—B.4.4
  • recognize that graphics and images can be used to convey a message—B.4.4
  • collecting, organizing, and displaying data
  • use a prepared database template to enter and edit data, and to locate records—A.4.3
  • use a prepared spreadsheet template to enter and edit data, and to produce and interpret a simple graph or chart—A.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 words—B.4.5
  • record the sources of information as notes are taken—B.4.5
  • arrange notes to help answer the information problem or question—B.4.5
  • organize information using simple outlining techniques—B.4.5
  • list basic bibliographic sources for information used—B.4.5
  • recognize that a quoted work must be stated in the author's exact words—D.4.3
  • list sources quoted verbatim and visuals used in a presentation—D.4.3
  • drawing reasonable conclusions based on data
  • identify new information and integrate it with prior knowledge—B.4.6
  • apply the information gathered to solve the information problem or question—B.4.6
E.4.2 Describe a set of data using
  • high and low values, and range
  • most frequent value (mode)
  • middle value of a set of ordered data (median)
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 document—A.4.2
  • use a prepared spreadsheet template to enter and edit data, and to produce and interpret a simple graph or chart—A.4.3
  • recognize that graphics and images can be used to convey a message—B.4.4
E.4.4 Determine if the occurrence of future events are more, less, or equally likely, impossible, or certain
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 Internet—A.4.4
  • identify possible sources of information including print, nonprint, electronic, and human resources—B.4.2
  • select more than one resource when appropriate—B.4.2
  • identify and use printed or electronic catalogs to access materials in the school library media center—B.4.3
  • search for information by keyword, author, title, and topic or subject—B.4.3
  • use an encyclopedia, dictionary, almanac, and atlas in print or electronic formats—B.4.3
  • use the index or table of contents of a book, magazine, or reference set to locate specific information—B.4.3
  • locate information from preselected Internet sites and web pages—B.4.3
F. Algebraic Relationships
By the end of grade 4 students will:
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)
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)
F.4.3  Work with simple linear patterns and relationships in a variety of ways, including
  • recognizing and extending number patterns
  • describing them verbally
  • representing them with pictures, tables, charts, graphs
  • incorporate graphics, pictures, and sound into another document—A.4.2
  • use a prepared spreadsheet template to enter and edit data, and to produce and interpret a simple graph or chart—A.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 message—B.4.4
  • recognizing that different models can represent the same pattern or relationship
  • recognize different ways to organize ideas, concepts, and phrases—B.4.2
  • using them to describe real-world phenomena
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)
F.4.5  Use simple equations and inequalities in a variety of ways, including
  • using them to represent problem situations
  • solving them by different methods (e.g., use of manipulatives, guess and check strategies, recall of number facts)
  • recording and describing solution strategies
F.4.6  Recognize and use generalized properties and relationships of arithmetic (e.g., commutativity of addition, inverse relationship of multiplication and division)

Matrix prepared by Wisconsin Deparatment of Public Instruction

02/27/06 res

River Valley High School
660 Varsity Blvd.
Spring Green, WI 53588
608-588-2554