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PAGE COUNTY PUBLIC SCHOOLS
Sixth Grade Mathematics Pacing Guide
The following chart is an outline of the PWC Sixth Grade Mathematics Curriculum organized into Units of Study. The outline provides the suggested number of days required for
each Unit of Study and an approximate test date. Space on the chart is provided for each teacher to keep the actual time spent on each objective. Unit of Study tests are on CMS. The
key terms for each Unit of Study are also listed, with those considered most important/encompassing for this grade level in bold. Cross content vocabulary terms that are part of the
mathematics curriculum and are applied in multiple units are: analyze, compare and contrast, conclude, evaluate, explain, generalize, question (inquire), sequence, solve,
summarize, and synthesize.
UNITS OF STUDY
DECIMALS
6.4B
Compare and order whole numbers and decimals using concrete materials, drawings, or pictures, and mathematical symbols (<, >, ,  , or
= ).
6.6B
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.
6.6D
Model, explain, and solve problems with decimals using the four basic operations (+, -, x, /). Students will justify solutions.
6.7B
Use estimation strategies to solve multi-step practical problems involving whole numbers and decimals.
6.8A
Solve multi-step consumer application problems involving decimals.
Key Terms:
benchmarks, budget, compatible numbers, consumer, data table, difference, digit, dividend, divisor, estimation, front-end estimation,
place value, product, quotient, rational numbers, rounding, sum
Number
of Days
15 days

NUMBER SENSE
6.3A
Find common multiples and factors, including least common multiple and greatest common factor
6.3B
Identify and describe prime and composite numbers.
6.3C
Identify and describe characteristics of even and odd integers.
6.4A
Compare and order whole numbers and fractions, using concrete materials, drawings, or pictures, and mathematical symbols (<, >, ,  ,
or = ).
6.4C
Compare and order numbers including fractions, decimals, and whole numbers, using concrete materials, drawings, or pictures, and
mathematical symbols (<, >, ,  , or = ).
Key Terms:
composite number, counting numbers, denominator, divisibility, even, factor, factor tree, greatest common factor, integers,
least common multiple, multiple, numerator, odd, place value, prime factor, prime factorization, prime number, whole numbers
12 days
FRACTIONS
6.6A
Solve problems that involve addition, subtraction, multiplication and 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.
6.6C
Use manipulatives to model multiplication of fractions in problem solving.
6.7A
Use estimation strategies to solve multi-step practical problems involving whole numbers and fractions.
6.8B
Solve multi-step consumer application problems involving fractions.
Key Terms:
benchmarks, budget, common denominator, compatible numbers, consumer, data table difference, dividend, divisor,
equivalent fraction, estimation, improper fraction, mixed number, product, proper fraction, quotient, reciprocal, rational numbers
rounding, simplest form, simplify, sum, unlike denominator
17 days


Revised June 2007
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PAGE COUNTY PUBLIC SCHOOLS
Sixth Grade Mathematics Pacing Guide
UNITS OF STUDY
RATIOS, PERCENT, AND PROBABILITY
6.1A Identify representations of a given percent.
6.1B
Model, explain, develop, and demonstrate the relationships among percents, decimals, and fractions, and be able to change from one form
to another.
6.2A
Describe and compare two sets of data using ratios.
6.2B
Recognize and use equivalent ratios to form proportions
6.20A Make a sample space for selected experiments and represent it in the form of a list, chart, picture, or tree diagram.
Determine and interpret the probability of an event occurring from a given sample space and represent the probability as a ratio, decimal or
a percent as appropriate for the given situation.
Key Terms:
decimal, denominator, event, fraction, numerator, outcome, percent, probability, proportion, rate, ratio, sample space, simple event,
tree diagram
DATA ANALYSIS
6.18
Given a problem situation, collect, organize, analyze, and display data using tables, charts, and graphs (e.g. line, bar, and circle graphs and
stem-and-leaf plots and box-and-whisker plots).
6.19A Describe the mean, mode, and median as measures of central tendency, describe the range, and determine their meaning for a set of data.
6.19B Use displays of data and measures of central tendency to draw conclusions and predict results.
Key Terms:
bar graph, box-and-whisker plot, circle graph, data, frequency table, horizontal axis, interquartile range, line graph, lower extreme,
lower quartile, mean, measures of central tendency, median, mode, range, stem-and-leaf plot, survey, tally, upper extreme,
upper quartile, vertical axis
INTEGERS AND EQUATIONS
6.5
Identify, represent, order and compare integers
Number
of Days
21 days
6.20B
6.23A
6.23B
6.23C
18 days
22 days
Model and solve algebraic equations, using concrete materials.
Solve one-step linear equations in one variable, involving whole number coefficients and positive rational solutions.
Use the following algebraic terms appropriately: variable, coefficient, term, expression, and equation.
Key Terms:
algebraic expression, coefficient, equation, expression, number line, numerical expression, integers, opposites, term, variable
PATTERNS
6.21
Recognize, describe, and extend a variety of numerical and geometric patterns including triangular numbers, patterns formed by powers of
10, and arithmetic sequences.
6.22
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.
Key Terms:
arithmetic sequence, base number, exponent, exponential growth, Fibonacci numbers, geometric pattern, geometric sequence,
linear growth, nth term, perfect square, power of a number, scientific notation, sequence, square root, triangular numbers
Revised June 2007
14 days
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PAGE COUNTY PUBLIC SCHOOLS
Sixth Grade Mathematics Pacing Guide
UNITS OF STUDY
MEASUREMENT
6.9A
Compare and convert units of measures for length from one unit of measure to another within the U.S. Customary system and the metric
system and estimate conversions between one system and the other.
6.10A Estimate and solve length measurement problems using standard and non-standard units of measure.
6.9B
Compare and convert unit of measures for mass and weight from one unit of measure to another within the U.S. Customary system and the
metric system and estimate conversions between one system and the other.
6.10B Estimate and solve mass and weight measurement problems using standard and non-standard units of measure.
6.9C
Compare and convert unit of measures for capacity and liquid measurement from one unit of measure to another within the U. S.
Customary system and the metric system and estimate conversions between one system and the other.
6.10C Estimate and solve capacity and liquid measurement problems using standard and nonstandard units of measure.
Key Terms:
capacity, centimeter, cup, foot, gallon, gram, inch, kilogram, kilometer, linear unit, liter, mass, meter, metric system, mile, milliliter,
millimeter, nonstandard measurement, ounce, pint, pound, quart, standard measurement, ton, US Customary system, yard
Number
of Days
15 days
ANGLES, TRIANGLES, AND SEGMENTS
6.13A Estimate angle measures using 45°, 90°, and 180° as referents.
6.13B Measure, draw, and identify right, straight, acute, and obtuse angles.
6.13C Measure and draw right, acute, and obtuse triangles.
6.15
Determine congruence of segments, angles, and polygons by direct comparison, given their attributes. Examples of non-congruent and
congruent figures will be included.
6.16
Construct the perpendicular bisector of a line segment and an angle bisector.
Key Terms:
acute angle, acute triangle, angle, angle bisector, angle ruler, arc, bisector, compass, congruent, line segment, non-congruent,
obtuse angle, obtuse triangle, perpendicular bisector, polygon, protractor, ray, referent, right angle, right triangle, segment,
straight angle, straightedge, vertex
12 days
PLANE AND SOLID FIGURES
6.9D
Compare and convert units of measures for area from one unit of measure to another within the U.S. Customary system and the metric
system and estimate conversions between one system and the other.
6.10D Estimate and solve area measurement problems using standard and non-standard units of measure.
6.11A Determine if a problem situation involving polygons of four sides or less represents the application of perimeter or area.
6.11B Use formulas to solve problems involving area and perimeter of triangles, rectangles, parallelograms, and trapezoids.
6.12A Use formulas to solve problems involving area and circumference of a circle when given the diameter or radius.
6.12B Derive approximations for pi () from measurements for circumference and diameter, using concrete materials or computer models.
6.14
Identify, classify, and describe the characteristics of plane figures including similarities, differences, and defining properties.
6.17
Sketch, construct models, and classify solid figures (rectangular prisms, cones, cylinders, and pyramids).
Key Terms:
acute triangle, area, base, circumference, cone, congruent, corresponding edges, cylinder, diameter, equilateral triangle, height,
hexagon, intersecting, isosceles triangle, length, net, obtuse triangle, parallel, parallelogram, pentagon, perimeter, perpendicular, pi,
plane figure, polygon, prism, pyramid, quadrilateral, radius, ratio, rectangle, rectangular prism, regular polygon, rhombus, right
triangle, scalene triangle, solid figure, square, square units, surface area, trapezoid, triangle, volume, width
17 days
Revised June 2007
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PAGE COUNTY PUBLIC SCHOOLS
Sixth Grade Mathematics Pacing Guide
GRADE 6 SOL TEST QUESTION BREAKDOWN (50 QUESTIONS TOTAL)
NUMBER AND NUMBER SENSE
8 QUESTIONS
COMPUTATION AND ESTIMATION
10 QUESTIONS
MEASUREMENT AND GEOMETRY
12 QUESTIONS
PROBABILITY AND STATISTICS
8 QUESTIONS
PATTERNS, FUNCTIONS, AND ALGEBRA
12 QUESTIONS
Revised June 2007
16 PERCENT OF THE TEST
20 PERCENT OF THE TEST
24 PERCENT OF THE TEST
16 PERCENT OF THE TEST
24 PERCENT OF THE TEST
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