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6.NS
Number and Number Sense
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6.1
The student will identify representations of a given percent and describe orally and in writing the equivalence relationships among fractions, decimals, and percents.
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6.2
The student will describe and compare two sets of data, using ratios, and will use appropriate notations, such as a/b, a to b, and a:b.
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6.3
The student will
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6.3.a
find common multiples and factors, including least common multiple and greatest common factor;
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6.3.b
identify and describe prime and composite numbers; and
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6.3.c
identify and describe the characteristics of even and odd integers.
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6.4
The student will compare and order whole numbers, fractions, and decimals, using concrete materials, drawings or pictures, and mathematical symbols.
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6.5
The student will identify, represent, order, and compare integers.
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6.CE
Computation and Estimation
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6.6
The student will
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6.6.a
solve problems that involve addition, subtraction, multiplication, and/or division with fractions and mixed numbers, with and without regrouping, that include like and unlike denominators of 12 or less, and express their answers in simplest form; and
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6.6.b
find the quotient, given a dividend expressed as a decimal through thousandths and a divisor expressed as a decimal to thousandths with exactly one non-zero digit.
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6.7
The student will use estimation strategies to solve multistep practical problems involving whole numbers, decimals, and fractions (rational numbers).
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6.8
The student will solve multistep consumer-application problems involving fractions and decimals and present data and conclusions in paragraphs, tables, or graphs. Planning a budget will be included.
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6.MEA
Measurement
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6.9
The student will compare and convert units of measure for length, area, weight/mass, and volume within the U.S. Customary system and the metric system and estimate conversions between units in each system:
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6.9.a
length-part of an inch (1/2, 1/4, and 1/8), inches, feet, yards, miles, millimeters, centimeters, meters, and kilometers;
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6.9.b
weight/mass-ounces, pounds, tons, grams, and kilograms;
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6.9.c
liquid volume-cups, pints, quarts, gallons, milliliters, and liters; and
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6.9.d
area-square units.
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6.10
The student will estimate and then determine length, weight/mass, area, and liquid volume/capacity, using standard and nonstandard units of measure.
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6.11
The student will determine if a problem situation involving polygons of four or fewer sides represents the application of perimeter or area and apply the appropriate formula.
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6.12
The student will
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6.12.a
solve problems involving the circumference and/or area of a circle when given the diameter or radius; and
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6.12.b
derive approximations for pi from measurements for circumference and diameter, using concrete materials or computer models.
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6.13
The student will
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6.13.a
estimate angle measures, using 45°, 90°, and 180° as referents, and use the appropriate tools to measure the given angles; and
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6.13.b
measure and draw right, acute, and obtuse angles and triangles.
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6.GEO
Geometry
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6.14
The student will identify, classify, and describe the characteristics of plane figures, describing their similarities, differences, and defining properties.
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6.15
The student will determine congruence of segments, angles, and polygons by direct comparison, given their attributes. Examples of noncongruent and congruent figures will be included.
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6.16
The student will construct the perpendicular bisector of a line segment and an angle bisector.
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6.17
The student will sketch, construct models of, and classify solid figures (rectangular prism, cone, cylinder, and pyramid).
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6.PS
Probability and Statistics
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6.18
The student, given a problem situation, will collect, analyze, display, and interpret data in a variety of graphical methods, including
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6.18.a
line, bar, and circle graphs;
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6.18.b
stem-and-leaf plots; and
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6.18.c
box-and-whisker plots.
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6.19
The student will describe the mean, median, and mode as measures of central tendency, describe the range, and determine their meaning for a set of data.
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6.20
The student will
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6.20.a
make a sample space for selected experiments and represent it in the form of a list, chart, picture, or tree diagram; and
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6.20.b
determine and interpret the probability of an event occurring from a given sample space and represent the probability as a ratio, decimal, or percent, as appropriate for the given situation.
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6.PFA
Patterns, Functions, and Algebra
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6.21
The student will investigate, describe, and extend numerical and geometric patterns, including triangular numbers, patterns formed by powers of 10, and arithmetic sequences.
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6.22
The student will investigate and describe concepts of positive exponents, perfect squares, square roots, and, for numbers greater than 10, scientific notation. Calculators will be used to develop exponential patterns.
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6.23
The student will
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6.23.a
model and solve algebraic equations, using concrete materials;
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6.23.b
solve one-step linear equations in one variable, involving whole number coefficients and positive rational solutions; and
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6.23.c
use the following algebraic terms appropriately: variable, coefficient, term, and equation.
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