Math / Information & Technology Literacy  Matrix Grade 8

A.     Mathematical Processes
B.    Number Operations and Relationships.
C.    Geometry
D.    Measurement
E.    Statistics and Probability
F.    Algebraic Relationships

A. Media and Technology
B. Information and Inquiry
C. Independent Learning
D. The Learning Community

• evaluate information

• evaluate possible sources of information based on criteria of timeliness, genre, point of view, bias, and authority—B.8.2
• examine selected resources for pertinent information using previewing techniques to scan for major concepts and keywords—B.8.4
• differentiate between primary and secondary sources—B.8.4
• distinguish between fact and opinion; recognize point of view or bias—B.8.4
• determine if information is timely, valid, accurate, comprehensive, and relevant—B.8.4
• analyze and evaluate information presented in charts, graphs, and tables—B.8.4
• locate indicators of authority for all sources of information—B.8.4

• perceive patterns

• organize ideas, concepts, and phrases using webbing, outlines, trees, or other visual or graphic tools—B.8.2
• organize and compare information using graphic organizers, storyboarding, and other relational techniques—B.8.5
• compare and integrate new information with prior knowledge—B.8.6

• identify relationships

• organize and compare information using graphic organizers, storyboarding, and other relational techniques—B.8.5
• organize information in a systematic manner appropriate to question, audience, and intended format of presentation—B.8.5
• compare and integrate new information with prior knowledge—B.8.6

• formulate questions for further exploration

• formulate general and specific research questions using a variety of questioning skills—B.8.1
• revise and narrow the information questions to focus on the information need—B.8.1
• analyze findings to determine need for additional information—B.8.6

• evaluate strategies

• focus search strategies on matching information needs with available resources—B.8.2

• justify statements

• test reasonableness of results

• compare and integrate new information with prior knowledge—B.8.6
• analyze findings to determine need for additional information—B.8.6
• gather and synthesize additional information as needed—B.8.6

• defend work

• draw conclusions to address the problem or question—B.8.6

• select a presentation format appropriate to the topic, audience, purpose, content, and technology available—B.8.7
• develop an original product or presentation which addresses the information problem or question—B.8.7

• appropriate use of technology

• use graphics software to import pictures, images, and charts into documents—A.8.3
• use a graphical organizer program to construct outlines or webs that organize ideas and information—A.8.3
• compose a class report using advanced text formatting and layout styles (e.g., single and double spacing, different size and style of fonts, indents, headers and footers, pagination, table of contents, bibliography)—A.8.3
• incorporate database and spreadsheet information (e.g., charts, graphs, lists) in word-processed documents—A.8.3
• use draw, paint, or graphics software to create visuals that will enhance a class project or report—A.8.5
• plan and deliver a presentation using media and technology appropriate to topic, audience, purpose, or content—A.8.5
• select a presentation format appropriate to the topic, audience, purpose, content, and technology available—B.8.7
• develop an original product or presentation which addresses the information problem or question—B.8.7

• the conventions of mathematical discourse (e.g., symbols, definitions, labeled drawings)

• mathematical language

• clear organization of ideas and procedures

• organize ideas, concepts, and phrases using webbing, outlines, trees, or other visual or graphic tools—B.8.2
• organize information in a systematic manner appropriate to question, audience, and intended format of presentation—B.8.5

• understanding of purpose and audience

• determine the audience and purpose for the product or presentation—B.8.7

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• ratios and proportions (e.g., rates, scale drawings, similarity)

• percents, including those greater than 100 and less than one (e.g., discounts, rate of increase or decrease, sales tax)

• prime and composite numbers

• divisibility and remainders

• greatest common factors

• least common multiples

• calculating mentally

• estimating

• creating, using, and explaining algorithms using technology (e.g., scientific calculators, spreadsheets)

• naming, defining, and giving examples

• comparing, sorting, and classifying them

• identifying and contrasting their properties (e.g., symmetrical, isosceles, regular)

• drawing and constructing physical models to specifications

• explaining how these figures are related to objects in the environment

• use draw, paint, or graphics software to create visuals that will enhance a class project or report—A.8.5

• approximate comparisons between metric and US Customary units (e.g., a liter and a quart are about the same; a kilometer is about six-tenths of a mile)

• knowledge that direct measurement produces approximate, not exact, measures

• the use of smaller units to produce more precise measures

• lengths to the nearest mm or 1/16 of an inch

• weight (mass) to the nearest 0.1 g or 0.5 ounce

• liquid capacity to the nearest millileter

• angles to the nearest degree

• temperature to the nearest C° or F°

• elapsed time to the nearest second

• estimation

• conversion of units within a system (e.g., quarts to cups, millimeters to centimeters)

• ratio and proportion (e.g., similarity, scale drawings)

• geometric formulas to derive lengths, areas, volumes of common figures (e.g., perimeter, circumference, surface area)

• the Pythagorean relationship

• geometric relationships and properties for angle size (e.g., parallel lines and transversals; sum of angles of a triangle; vertical angles)

B.8.8 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.8.1
• relate what is already known to the information need—B.8.1
• formulate general and specific research questions using a variety of questioning skills—B.8.1
• revise and narrow the information questions to focus on the information need—B.8.1

• designing and conducting a statistical investigation

• using technology to generate displays, summary statistics, and presentations

• classify collected data and construct a simple database by defining fields, entering and sorting data, and producing a report—A.8.3
• construct a simple spreadsheet, enter data, and interpret the information—A.8.3
• plot and use different types of charts and graphs (e.g., line, bar, stacked, scatter diagram, area, pie charts, pictogram) from a spreadsheet program—A.8.3
• incorporate database and spreadsheet information (e.g., charts, graphs, lists) in word-processed documents—A.8.3
• use draw, paint, or graphics software to create visuals that will enhance a class project or report—A.8.5
• plan and deliver a presentation using media and technology appropriate to topic, audience, purpose, or content—A.8.5
• select a presentation format appropriate to the topic, audience, purpose, content, and technology available—B.8.7
• develop an original product or presentation which addresses the information problem or question—B.8.7

• appropriate tables, graphs, and/or charts (e.g., circle, bar, or line for multiple sets of data)

• plot and use different types of charts and graphs (e.g., line, bar, stacked, scatter diagram, area, pie charts, pictogram) from a spreadsheet program—A.8.3
• incorporate database and spreadsheet information (e.g., charts, graphs, lists) in word-processed documents—A.8.3
• use draw, paint, or graphics software to create visuals that will enhance a class project or report—A.8.5
• organize information in a systematic manner appropriate to question, audience, and intended format of presentation—B.8.5

• appropriate plots (e.g., line, stem-and-leaf, box, scatter)

• frequency and distribution, including mode and range

• central tendencies of data (mean and median)

• indicators of dispersion (e.g., outliers)

• make predictions

• develop convincing arguments

• locate indicators of authority for all sources of information—B.8.4
• compare and integrate new information with prior knowledge—B.8.6

• draw conclusions

• draw conclusions to address the problem or question—B.8.6

• select multiple sources that reflect differing or supporting points of view—B.8.2
• organize and compare information using graphic organizers, storyboarding, and other relational techniques—B.8.5

• credibility of the source

• locate indicators of authority for all sources of information—B.8.4

• techniques of collection, organization, and presentation of data

• describe the effectiveness of the media and technology used in a production or presentation—A.8.6
• identify criteria for judging the technical quality of a production or presentation—A.8.6
• judge how well the production or presentation meets identified criteria—A.8.6
• recommend ways to improve future productions or presentations—A.8.6
• identify the criteria to be used in judging both the product (or presentation) and the process—B.8.8
• determine how well research conclusions and product meet the original information need or question based on the identified criteria—B.8.8
• assess the process based on identified criteria—B.8.8
• summarize ways in which the process and product can be improved—B.8.8

• missing or incorrect data

• analyze findings to determine need for additional information—B.8.6
• gather and synthesize additional information as needed—B.8.6

• inferences

• possible sources of bias

• distinguish between fact and opinion; recognize point of view or bias—B.8.4

• using a variety of strategies to identify possible outcomes (e.g., lists, tables, tree diagrams)

• use a graphical organizer program to construct outlines or webs that organize ideas and information—A.8.3
• incorporate database and spreadsheet information (e.g., charts, graphs, lists) in word-processed documents—A.8.3
• organize ideas, concepts, and phrases using webbing, outlines, trees, or other visual or graphic tools—B.8.2
• organize and compare information using graphic organizers, storyboarding, and other relational techniques—B.8.5

• conducting an experiment

• designing and conducting simulations

• applying theoretical notions of probability (e.g., that four equally likely events have a 25 percent chance of happening)

• using appropriate symbolism, including exponents and variables

• evaluating expressions through numerical substitution

• generating equivalent expressions

• adding and subtracting expressions

• representing them with tables, with graphs, and with algebraic expressions, equations, and inequalities

• describing and interpreting their graphical representations (e.g., slope, rate of change, intercepts)

• using them as models of real-world phenomena

• describing a real-world phenomenon that a given graph might represent

• writing them to represent problem situations and to express generalizations

• solving them by different methods (e.g., informally, graphically, with formal properties, with technology)

• use basic content-specific tools (e.g., environmental probes, measurement sensors) to provide evidence/support in a class project—A.8.1
• scan, crop, and save a graphic using a scanner, digital camera, or other digitizing equipment—A.8.1
• use simple graphing calculator functions to solve a problem—A.8.1

• writing and evaluating formulas (including solving for a specified variable)

• using them to record and describe solution strategies

• additive and multiplicative property of equations and inequalities

• commutativity and associativity of addition and multiplication

• distributive property

• inverses and identities for addition and multiplication

• transitive property