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Math Software by the University of Arizona
of the classroom. All have dropdown menus and are selfdocumenting, with online, context sensitive help. They are of use from Beginning Algebra to Fourier Series. Are You Ready? The following RUR programs have been released: Are You Ready for Intermediate Algebra? Are You Read...
GRADE HS
algorithm for equivalence is analyzing the multiple ways to find the slope of a line. • An example for analyzing an algorithm for validity is comparing an algorithm for finding the distance between two points using the distance formula, to...
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algorithm for equivalence is analyzing the multiple ways to find the slope of a line. • An example for analyzing an algorithm for validity is comparing an algorithm for finding the distance between two points using the distance formula, to an algorithm finding the square root of the sum of the horizontal distance and vertical distance between two points on a coordinate grid. 22 21 21 ()()dxx yy=−+−
50
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http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGradeHS.pdf#page=50
www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
emphasizes the core processes of problem solving. Students draw from the content of the other four strands to devise algorithms and analyze algorithmic thinking. Strand One and Strand Three provide the conceptual and computational basis <span class="highlight">for</span> these algorithms. Logical reasoning and proof draws its substance from the study of geometry, patterns, and analysis to connect remaining strands. Students use algorithms, algorithmic thinking, and logical reasoning (both inductive and deductive) as they make conjectures and
51
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http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGradeHS.pdf#page=51
www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
<span class="highlight">algorithm</span> <span class="highlight">for</span> equivalence is analyzing the multiple ways to find the slope of a <span class="highlight">line</span>. • An example <span class="highlight">for</span> analyzing an <span class="highlight">algorithm</span> <span class="highlight">for</span> validity is comparing an <span class="highlight">algorithm</span> <span class="highlight">for</span> finding the distance between two points using the distance formula, to an <span class="highlight">algorithm</span> finding the square root of the sum of the horizontal distance and vertical distance between two points on a coordinate grid. 22 21 21 ()()dxx yy=−+−
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HIGH SCHOOL MATHEMATICS CONTENT EXPECTATIONS page 8 of 19 11/07 MICHIGAN DEPARTMENT OF EDUCATION recOMMenDeD: *L1.2.5 Read and interpret representations from various technological sources, such as contour or isobar diagrams. *L2.1.7 Understand the mathematical bases for the diffe...
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HIGH SCHOOL MATHEMATICS CONTENT EXPECTATIONS page 8 of 19 11/07 MICHIGAN DEPARTMENT OF EDUCATION recOMMenDeD: *L1.2.5 Read and interpret representations from various technological sources, such as contour or isobar diagrams. *L2.1.7 Understand the mathematical bases for the differences among voting procedures. *L2.2.4 Compute sums of infinite geometric sequences.
10
0
http://www.michigan.gov/documents/Math1114open1_142202_7.pdf#page=10
www.michigan.gov/documents/Math1114open1_142202_7.pdf#page=10
HIGH SCHOOL MATHEMATICS CONTENT EXPECTATIONS page 8 of 19 11/07 MICHIGAN DEPARTMENT OF EDUCATION recOMMenDeD: *L1.2.5 Read and interpret representations from various technological sources, such as <span class="highlight">contour</span> or isobar diagrams. *L2.1.7 Understand the mathematical bases <span class="highlight">for</span> the differences among voting procedures. *L2.2.4 Compute sums of infinite geometric sequences.
Microsoft Word  K8 Mathematics Curriculum Framework.doc
67 Glossary Mathematics Curriculum Framework Revised 2004 Arkansas Department of Education Glossary for K8 Mathematics Framework Absolute value A number's distance from zero on a number line Ex. The absolute value of 2 is equal to the absolute value of 2. Acute angle An angle...
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67 Glossary Mathematics Curriculum Framework Revised 2004 Arkansas Department of Education Glossary for K8 Mathematics Framework Absolute value A number's distance from zero on a number line Ex. The absolute value of 2 is equal to the absolute value of 2. Acute angle An angle whose measure is less than 90° and greater than 0° Addends Numbers that are being added in an addition
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http://arkansased.org/teachers/pdf/k8_math_may05.pdf#page=57
arkansased.org/teachers/pdf/k8_math_may05.pdf#page=57
recognizing the size and shape do not change G.9.7.1 Examine the congruence, similarity, and <span class="highlight">line</span> or rotational symmetry of objects using transformations G.9.7.2 Perform translations and reflections of twodimensional figures using a variety of methods (paper folding, <span class="highlight">tracing</span>, graph paper) G.9.8.1 Determine a transformation’s <span class="highlight">line</span> of symmetry and compare the properties of the figure and its transformation G.9.8.2 Draw the results of translations and reflections about the x and yaxis and
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http://arkansased.org/teachers/pdf/k8_math_may05.pdf#page=68
arkansased.org/teachers/pdf/k8_math_may05.pdf#page=68
67 Glossary Mathematics Curriculum Framework Revised 2004 Arkansas Department of Education Glossary <span class="highlight">for</span> K8 Mathematics Framework Absolute value A number's distance from zero on a number <span class="highlight">line</span> Ex. The absolute value of 2 is equal to the absolute value of 2. Acute angle An angle whose measure is less than 90° and greater than 0° Addends Numbers that are being added in an addition
Microsoft Word  MathStandardsApproved051704.rtf
177 SOUTH DAKOTA MATHEMATICS STANDARDS GLOSSARY *Note: This glossary contains explanations, not necessarily formal mathematical definitions of terms used in the standards document. Absolute value A number’s distance from zero on the number line. The absolute value of 4 is 4; the abs...
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177 SOUTH DAKOTA MATHEMATICS STANDARDS GLOSSARY *Note: This glossary contains explanations, not necessarily formal mathematical definitions of terms used in the standards document. Absolute value A number’s distance from zero on the number line. The absolute value of 4 is 4; the absolute value of 4 is 4; the symbol greater is 4. Acute angle An angle whose measure is more than 0° but less than 90°. Algorithm An organized sequential procedure for performing a given type of calculation or
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http://doe.sd.gov/contentstandards/math/docs/MathStandardsApproved051704.pdf#page=45
doe.sd.gov/contentstandards/math/docs/MathStandardsApproved051704.pdf...
45 MEASUREMENT STANDARDS K2 Indicator 1: Apply measurement concepts in practical applications. Kindergarten First Grade Second Grade K.M.1.1. (Knowledge) Tell time to the hour using analog and <span class="highlight">digital</span> clocks. 1.M.1.1. (Knowledge) Tell time to the halfhour using analog and <span class="highlight">digital</span> clocks and order a sequence of events with respect to time. 2.M.1.1. (Knowledge) Tell time to the minute using analog and <span class="highlight">digital</span> clocks and relate time to daily events. K.M.1.2. (Knowledge) Name the
177
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http://doe.sd.gov/contentstandards/math/docs/MathStandardsApproved051704.pdf#page=177
doe.sd.gov/contentstandards/math/docs/MathStandardsApproved051704.pdf...
177 SOUTH DAKOTA MATHEMATICS STANDARDS GLOSSARY *Note: This glossary contains explanations, not necessarily formal mathematical definitions of terms used in the standards document. Absolute value A number’s distance from zero on the number <span class="highlight">line</span>. The absolute value of 4 is 4; the absolute value of 4 is 4; the symbol greater is 4. Acute angle An angle whose measure is more than 0° but less than 90°. <span class="highlight">Algorithm</span> An organized sequential procedure <span class="highlight">for</span> performing a given type of calculation or
GRADE 8
can then compare their conjectures to the formula or to the graphical algorithm for finding the midpoint of a line segment.
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can then compare their conjectures to the formula or to the graphical algorithm for finding the midpoint of a line segment.
30
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http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade8.pdf#page=30
www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
can then compare their conjectures to the formula or to the graphical <span class="highlight">algorithm</span> <span class="highlight">for</span> finding the midpoint of a <span class="highlight">line</span> segment.
33
0
http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade8.pdf#page=33
www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
conversion among or between units of measure. There is a strong connection between this performance objective and converting within measurement systems (M08S4C401). Example: • Below, a student determined how many square inches are in a square yard. Write an <span class="highlight">algorithm</span> <span class="highlight">for</span> this process. Test the <span class="highlight">algorithm</span> with a different conversion. 22 9331 ftftftyd =•= 2 14412121 inininft =•= 2 2 22 2 2 1 144 1 9 1 ft in x yd ft xyd
Microsoft Word  mathstdglossary2004.docmathstdglossary2004.pdf
Kansas Curricular Standards for Mathematics January 2004 1 Glossary A absolute value – a number’s distance from zero on the number line (The value is always positive.) acute angle – an angle that measures less than 90° addend – one of a set of numbers...
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Kansas Curricular Standards for Mathematics January 2004 1 Glossary A absolute value – a number’s distance from zero on the number line (The value is always positive.) acute angle – an angle that measures less than 90° addend – one of a set of numbers to be added addition problem – 8 (addend) + 4 (addend) 12 (sum) additive identity 0 is the additive identity, because for any real number a: a + 0 = a additive inverse – the opposite of a number
1
0
http://www.ksde.org/LinkClick.aspx?fileticket=T526GF1N0EM%3d&tabid=141&mid=8017&forcedownload=true#page=1
www.ksde.org/LinkClick.aspx?fileticket=T526GF1N0EM%3d&tabid=141&mid=8017&...
Kansas Curricular Standards <span class="highlight">for</span> Mathematics January 2004 1 Glossary A absolute value – a number’s distance from zero on the number <span class="highlight">line</span> (The value is always positive.) acute angle – an angle that measures less than 90° addend – one of a set of numbers to be added addition problem – 8 (addend) + 4 (addend) 12 (sum) additive identity 0 is the additive identity, because <span class="highlight">for</span> any real number a: a + 0 = a additive inverse – the opposite of a number
Microsoft Word  mathstdrev0703.docmathstdrev0703.pdf
Kansas Curricular Standards for Mathematics January 2004 328 Glossary A absolute value – a number’s distance from zero on the number line (The value is always positive.) acute angle – an angle that measures less than 90° addend – one of a set of number...
1
0
Kansas Curricular Standards for Mathematics January 2004 328 Glossary A absolute value – a number’s distance from zero on the number line (The value is always positive.) acute angle – an angle that measures less than 90° addend – one of a set of numbers to be added addition problem – 8 (addend) + 4 (addend) 12 (sum) additive identity 0 is the additive identity, because for any real number a: a + 0 = a additive inverse – the opposite of a
1
0
http://www.ksde.org/LinkClick.aspx?fileticket=9Of%2f53hRla8%3d&tabid=141&mid=8017&forcedownload=true#page=329
www.ksde.org/LinkClick.aspx?fileticket=9Of%2f53hRla8%3d&tabid=141&mid=801...
Kansas Curricular Standards <span class="highlight">for</span> Mathematics January 2004 328 Glossary A absolute value – a number’s distance from zero on the number <span class="highlight">line</span> (The value is always positive.) acute angle – an angle that measures less than 90° addend – one of a set of numbers to be added addition problem – 8 (addend) + 4 (addend) 12 (sum) additive identity 0 is the additive identity, because <span class="highlight">for</span> any real number a: a + 0 = a additive inverse – the opposite of a
Speaking Standard 3
using a variety of methods (e.g., straightedge and compass, patty/tracing paper, or technology). • Congruent angles or line segments • Midpoint of a line segment 7. Create twodimensional representations (e.g., nets or projective views) for the surfaces of three...
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using a variety of methods (e.g., straightedge and compass, patty/tracing paper, or technology). • Congruent angles or line segments • Midpoint of a line segment 7. Create twodimensional representations (e.g., nets or projective views) for the surfaces of threedimensional objects. 4.2.8 B. Transforming Shapes 1. Understand and apply transformations. • Finding the image, given the preimage, and viceversa • Sequence of transformations needed to map one figure onto another • Reflections, rotations
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http://www.nj.gov/education/cccs/2004/s4_math.pdf#page=24
www.nj.gov/education/cccs/2004/s4_math.pdf#page=24
using a variety of methods (e.g., straightedge and compass, patty/<span class="highlight">tracing</span> paper, or technology). • Congruent angles or <span class="highlight">line</span> segments • Midpoint of a <span class="highlight">line</span> segment 7. Create twodimensional representations (e.g., nets or projective views) <span class="highlight">for</span> the surfaces of threedimensional objects. 4.2.8 B. Transforming Shapes 1. Understand and apply transformations. • Finding the image, given the preimage, and viceversa • Sequence of transformations needed to map one figure onto another • Reflections, rotations
26
0
http://www.nj.gov/education/cccs/2004/s4_math.pdf#page=26
www.nj.gov/education/cccs/2004/s4_math.pdf#page=26
patty/<span class="highlight">tracing</span> paper, or technology). • Perpendicular bisector of a <span class="highlight">line</span> segment • Bisector of an angle • Perpendicular or parallel lines 4.2.12 B. Transforming Shapes 1. Determine, describe, and draw the effect of a transformation, or a sequence of transformations, on a geometric or algebraic representation, and, conversely, determine whether and how one representation can be transformed to another by a transformation or a sequence of transformations. 2. Recognize threedimensional figures obtained
Core Content For Mathematics Assessment
CCA 4.1 Elementary Arts and Humanities AUGUST 2006 Bold – State Assessment Content Standard 19 Italics – Supporting Content Standard Processes in the Arts There are three distinctive processes involved in the arts. These processes are creating new works, performing works for expr...
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CCA 4.1 Elementary Arts and Humanities AUGUST 2006 Bold – State Assessment Content Standard 19 Italics – Supporting Content Standard Processes in the Arts There are three distinctive processes involved in the arts. These processes are creating new works, performing works for expressive purposes and responding to artworks. Each process is critical and relies on others for completion. Artists create works to express ideas, feelings or beliefs. The visual arts capture a moment in time while the
21
0
http://www.education.ky.gov/users/OTL/CCA%204%201%20FINAL/CCA_41.pdf#page=21
www.education.ky.gov/users/OTL/CCA%204%201%20FINAL/CCA_41.pdf#page=21
CCA 4.1 Elementary Arts and Humanities AUGUST 2006 Bold – State Assessment Content Standard 19 Italics – Supporting Content Standard Processes in the Arts There are three distinctive processes involved in the arts. These processes are creating new works, performing works <span class="highlight">for</span> expressive purposes and responding to artworks. Each process is critical and relies on others <span class="highlight">for</span> completion. Artists create works to express ideas, feelings or beliefs. The visual arts capture a moment in time while the

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