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 Mathematics Content Standards - Curriculum Frameworks (CA Dept of Education)
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24 GRADE SIX Grade Six By the end of grade six, students have mastered the four arithmetic operations with whole numbers, positive fractions, positive decimals, and positive and negative integers; they accurately compute and solve problems. They apply their knowledge to s...
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24 GRADE SIX Grade Six By the end of grade six, students have mastered the four arithmetic operations with whole numbers, positive fractions, positive decimals, and positive and negative integers; they accurately compute and solve problems. They apply their knowledge to statistics and probability. Students understand the concepts of mean, median, and mode of data sets and how to calculate the range. They analyze data and sampling processes for possible bias and misleading conclu­ sions; they use
24 0 http://www.cde.ca.gov/be/st/ss/documents/mathstandard.pdf#page=24 www.cde.ca.gov/be/st/ss/documents/mathstandard.pdf#page=24
whole, parts <span class="highlight">of</span> a set, and division <span class="highlight">of</span> whole numbers by whole numbers; explain equivalents <span class="highlight">of</span> <span class="highlight">fractions</span> (see Standard 4.0). 1.6 Write tenths and hundredths in decimal and fraction notations and know <span class="highlight">the</span> fraction and decimal equivalents <span class="highlight">for</span> halves and fourths (e.g., 1 &frasl; 2 = 0.5 or .50; 7 &frasl; 4 = 1 3 &frasl; 4 = 1.75). 1.7 Write <span class="highlight">the</span> fraction represented by a drawing <span class="highlight">of</span> parts <span class="highlight">of</span> a figure; represent a given fraction by using drawings; and relate a fraction to a simple decimal <span class="highlight">on</span> a number line. 1.8 <span class="highlight">Use</span>
29 0 http://www.cde.ca.gov/be/st/ss/documents/mathstandard.pdf#page=29 www.cde.ca.gov/be/st/ss/documents/mathstandard.pdf#page=29
20 GRADE FIVE Grade Five By <span class="highlight">the</span> end <span class="highlight">of</span> grade five, students increase their facility with <span class="highlight">the</span> four basic arithmetic operations applied to <span class="highlight">fractions</span>, decimals, and positive and negative numbers. They know and <span class="highlight">use</span> common measuring units to determine length and area and know and <span class="highlight">use</span> formulas to determine <span class="highlight">the</span> volume <span class="highlight">of</span> simple geometric figures. Students know <span class="highlight">the</span> concept <span class="highlight">of</span> angle measurement and <span class="highlight">use</span> a protractor and compass to solve problems. They <span class="highlight">use</span> grids, tables, graphs, and charts to record and
30 0 http://www.cde.ca.gov/be/st/ss/documents/mathstandard.pdf#page=30 www.cde.ca.gov/be/st/ss/documents/mathstandard.pdf#page=30
problems, including ones arising in concrete situations, involving <span class="highlight">the</span> addition and subtraction <span class="highlight">of</span> <span class="highlight">fractions</span> and mixed numbers (like and unlike denomi&shy; nators <span class="highlight">of</span> 20 or less), and express answers in <span class="highlight">the</span> simplest form. 2.4 Understand <span class="highlight">the</span> concept <span class="highlight">of</span> multiplication and division <span class="highlight">of</span> <span class="highlight">fractions</span>. 2.5 Compute and perform simple multiplication and division <span class="highlight">of</span> <span class="highlight">fractions</span> and apply these procedures to solving problems. Algebra and Functions 1.0 Students <span class="highlight">use</span> variables in simple expressions, compute <span class="highlight">the</span> value <span class="highlight">of</span> <span class="highlight">the</span>
33 0 http://www.cde.ca.gov/be/st/ss/documents/mathstandard.pdf#page=33 www.cde.ca.gov/be/st/ss/documents/mathstandard.pdf#page=33
24 GRADE SIX Grade Six By <span class="highlight">the</span> end <span class="highlight">of</span> grade six, students have mastered <span class="highlight">the</span> four arithmetic operations with whole numbers, positive <span class="highlight">fractions</span>, positive decimals, and positive and negative integers; they accurately compute and solve problems. They apply their knowledge to statistics and probability. Students understand <span class="highlight">the</span> concepts <span class="highlight">of</span> mean, median, and mode <span class="highlight">of</span> data sets and how to calculate <span class="highlight">the</span> range. They analyze data and sampling processes <span class="highlight">for</span> possible bias and misleading conclu&shy; sions; they <span class="highlight">use</span>