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 Mathematics Booklet
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• Describe location and movement using appropriate geometric vocabulary. • Make and use coordinate maps to represent actual places in an area. • Find horizontal or vertical distances on a coordinate system. • Analyze and describe geometric relationships among two- a...
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• Describe location and movement using appropriate geometric vocabulary. • Make and use coordinate maps to represent actual places in an area. • Find horizontal or vertical distances on a coordinate system. • Analyze and describe geometric relationships among two- and three-dimensional figures (e.g., relationship between rectangles and squares, and between equilateral and isosceles triangles). • Critique logical arguments concerning geometric ideas and relationships. • Describe and apply geometric ideas
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3 Content Standards &mdash; At-A-Glance 1. Understand numbers, ways of representing numbers, relationships among numbers, and number systems. 1. Understand attributes, units, and systems of units <span class="highlight">in</span> measurement; and develop and use techniques, tools, and formulas for measuring. 1. Analyze properties of objects and relationships among the properties. 1. Understand various types of patterns and functional relationships. 1. Pose questions and collect, organize, and represent data to
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major concepts that are essential to the discipline. CONTENT STANDARDS ARE ACCURATE AND SOUND. They should reflect the most recent, widely accepted scholarship <span class="highlight">in</span> the discipline. CONTENT STANDARDS ARE CLEAR AND USEFUL. They should be specific enough to drive the curriculum and guide assessment and instruction. They should be understandable to teachers, parents, students, and the community. CONTENT STANDARDS ARE PARSIMONIOUS. They should reflect the depth of learning. Standards should be few and brief
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8 CONTENT STANDARDS K - 1 2 - 3 1. Students understand attributes, units, and systems of units <span class="highlight">in</span> measurement; and develop and use techniques, tools, and formulas for measuring. &bull; Describe and identify length, weight, capacity, and coins. &bull; Compare and order objects by length, weight, or capacity; order events; trade nickels and dimes for pennies. &bull; Estimate with and use nonstandard units to measure length, weight, and capacity; and standard units of inch, foot, and centimeter to measure
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9 4 - 5 6 - 8 9 - 12 &bull; Explain that all measurement is approximate and that precision is a function of the tool used. &bull; Know and fluently use the common units of measure of both customary and metric systems of measure. &bull; Carry out simple unit conversions within a <span class="highlight">system</span> of measurement (e.g., millimeters to centimeters to meters, feet to yards, pints to quarts to gallons, seconds to minutes to hours, days to weeks to months to years). &bull; Use estimation and measurement to find perimeter, area
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10 CONTENT STANDARDS K - 1 2 - 3 1. Students analyze properties of objects and relationships among the properties. 2. Students use transformations and symmetry to analyze mathematical situations. 3. Students use visualization and spatial reasoning to solve problems both within and outside of mathematics. 4. Students select and use different representational systems, including coordinate geometry. &bull; Recognize and find geometric shapes and structures <span class="highlight">in</span> the world. &bull; Identify, build, draw
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&bull; Describe location and movement using appropriate geometric vocabulary. &bull; Make and use coordinate maps to represent actual places <span class="highlight">in</span> an area. &bull; Find horizontal or vertical distances on a coordinate <span class="highlight">system</span>. &bull; Analyze and describe geometric relationships among two- and three-dimensional figures (e.g., relationship between rectangles and squares, and between equilateral and isosceles triangles). &bull; Critique logical arguments concerning geometric ideas and relationships. &bull; Describe and apply geometric ideas
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12 CONTENT STANDARDS K - 1 2 - 3 1. Students understand various types of patterns and functional relationships. 2. Students use symbolic forms to represent, model, and analyze mathematical situations. &bull; Continue and describe simple spatial and numerical patterns. &bull; Use concrete, pictorial, and verbal representations of simple numerical situations. &bull; Make comparisons and describe change <span class="highlight">in</span> familiar situations (e.g., describe changes <span class="highlight">in</span> weather). &bull; Create and describe spatial and numerical
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pictures. &bull; Describe parts of the organized data (e.g., &ldquo;How many more red than blue?&rdquo;) and the data as a whole (e.g., &ldquo;What is the total?&rdquo;). &bull; Identify those parts of the data that have special characteristics (e.g., &ldquo;Which color was most? Least?&rdquo;). &bull; Use representation to answer posed and related questions. &bull; Identify certainty and fairness <span class="highlight">in</span> real world situations. &bull; Pose questions, and collect and organize data. &bull; Represent data with bar graphs and with pictures. &bull; Use a graph of organized data to
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This refinement of the Hawai&lsquo;i Content Standards is &ldquo;work <span class="highlight">in</span> progress&rdquo; for another year. Several activities planned for this coming year will provide the necessary information for finalizing the refined standards. These activities include: &bull; Teacher workgroups using the draft content standards to design performance tasks for student work and identifying what needs to be <span class="highlight">in</span> that work (performance indicators), &bull; Teachers <span class="highlight">in</span> schools and complexes participating <span class="highlight">in</span> standards implementa- tion discussions
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Council for Basic Education. Standards for Excellence <span class="highlight">in</span> Education, A Guide for Parents, Teachers, and Principals for Evaluating and Implementing Standards for Education. Association for Supervision and Curriculum Development, 1998. Hawai&lsquo;i Department of Education. Hawai&lsquo;i Content and Performance Standards, 1994 Final Draft. Hawai&lsquo;i Department of Education, 1994. National Council of Teachers of Mathematics. Curriculum and Evaluation Standards for School Mathematics. National Council of Teachers of
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Benchmarks: Indicate developmentally-appropriate content knowledge and skills at specific grade levels or at a cluster of grade levels. Content standards: Define what a student should know and be able to do. Fluency: Demonstrated <span class="highlight">in</span> responses that are immediate and accurate. Nets: Surfaces of a three-dimensional solid drawn <span class="highlight">in</span> two dimensions, with indicat- ed edge lines where folding could occur. Performance indicators: They are a description of what must be included <span class="highlight">in</span> the student work that meets the
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together. &bull; The ability to be involved <span class="highlight">in</span> complex thinking and problem solving. &bull; The ability to recognize and produce quality performance and quality products. The real test of the standards is their applicability and usefulness <span class="highlight">in</span> the classroom to improve student learning. Raising our expectations is but the first step; it&rsquo;s what we do with the standards - living up to them - that will ultimately make us a performance oriented <span class="highlight">system</span>. We are about to embark on an important journey that will challenge how
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