# Math Pacing Guide for Grade 5

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```							Grade 5 Math Pacing Guide

1st Nine                    Standards                              EnVision Math                Math Out                Other
Weeks                                                                                           of the Box
Numbers and Operations
August      5-2.1 Analyze the magnitude of a digit on        Topic 1: Lessons 1-1, 1-3, 1-4,                     Practice and Challenge
the basis of its place value, using        1-5                                                 lessons 2.1 & 2.2 –
whole numbers and decimal numbers          Topic 2: Lessons 2-2, 2-5                           Harcourt Math (old
through thousandths.                                                                           text)
5-2.4 Compare whole numbers, decimals,           Topic 1: Lesson 1-2, 1-4                            Practice and Challenge
fractions by using symbols <, > and =.     Topic 9: Lesson 9-5                                 lesson 2.4 (old text)

September   5-2.6 Classify numbers as prime, composite,      Topic 4: Lesson 4-8,                                Practice and Challenge
or neither.                                Topic 9: Lesson 9-6                                 lesson 15.5 (old text)
5-2.7 Generate strategies to find the greatest   Topic 10: Lesson 10-2                               Practice and Challenge
common factor and the least common                                                            lesson 15.2 (old text)
multiple of two whole numbers.

5-2.5 Apply algorithm to add and subtract        Topic 2: Lessons 2-6, 2-7,
decimals through thousandths.              2-8
October     5-2.2 Apply an algorithm to divide whole         Topic 4: Lessons 4-4, 4-5, 4-6
numbers fluently.                           Topic 5: Lesson 5-4, 5-5, 5-6,
(7-6, 7-7, 7-8 enrichment)
5-2.3 Understand the relationship among the      Topic 4: Lesson 4-5
divisor, dividend, and quotient.           Topic 5: Lessons 5-4, 5-6
5-2.9 Apply divisibility rules for 3, 6, and 9   Topic 4: Lesson 4-7                                 Practice and Challenge
lesson 15.1 (old text)

August 10, 2009
2nd Nine                      Standards                          EnVision Math           Math Out of the        Other
Weeks                                                                                        Box
Numbers and Operations
November    5-2.8 Generate strategies to add and subtract    Topic 10: Lessons 10-1,
fractions with like and unlike             10-3, 10-4
denominators.                               (10-6 enrichment)
Algebra
5.3.1 Represent numeric,                         Topic 3: Lesson 3-2         Steps and Distance   HBJ Practice
algebraic, geometric patterns in words,    Topic 5: Lesson 5-1                                  and
symbols, algebraic expressions, and        Topic 6: Lesson 6-2                               Challenge
algebraic equations                        Topic 15: Lesson 15-4                              lessons
5-3.2 Analyze patterns and                       Topic 1: Lesson 1-5         Steps and Distance
functions with words, tables, and graphs   Topic 6: Lesson 6-2
Topic 7: Lesson 7-5
Topic 15: Lesson 15-4
Topic 16: Lesson 16-5
Topic 17: Lesson 17-4
Topic 20: Lesson 20-4
December    5-3.3 Match tables, graphs, expressions,         Topic 2: Lessons 2-4        Steps and Distance
equations, and verbal description of       Topic 3: Lesson 3-8
the same problem.                          Topic 4: Lesson 4-9
Topic 6: Lesson 6-1, 6-3
Topic 11: Lesson 11-5
Topic 14: Lesson 14-9
Topic 16: Lesson 16-9
5-3.4 Identify application of commutative,       Topic 2: Lesson 1-5         Steps and Distance
associative, and distributive properties with    Topic 3: Lesson 3-1, 3-2
whole numbers.                                   Topic 6: Lesson 6-4
5-3.5 Analyze situations that show change over   Topic17: Lesson 17-4        Steps and Distance
time.                                     Topic 18: Lesson 18-3

August 10, 2009
3rd Nine                      Standards                              EnVision Math              Math Out of the   Other
Weeks                                                                                               Box
Data Analysis and Probability
January      5-6.1    Design a mathematical investigation to      TE 468B, 488B, 492B,

5-6.2 Analyze how data-collection methods            Topic 18 Lesson 18-1,
affect the nature of data set.                 TE 461A

5-6.3 Apply procedures to calculate the              Topic 18 Lesson 18-7, 18-8
measures of central tendency (mean,
median, and mode).

5-6.4 Interpret the meaning and application of       TE 550B-553B
the measures of central tendency.

5-6.5 Represent the probability of a single-stage    Topic 20 Lessons 20-2,
event in words and fractions.                  20-3
TE 488B, 491B
5-6.6 Conclude why the sum of the probability        Topic Lesson 20-2
of the outcomes of an experiment must          TE 499E
equal 1.

Measurement
5-5.1 Use appropriate tools and units to measure     Topic 12 Lesson 12-1
objects to the precision of one-eighth inch.
5-5.6 Apply procedures to determine the              Topic 14- Lessons 14-6, 14-
amount of elapsed time in hours, minutes,      7,
and seconds within a 24-hour period.           TE 373A

August 10, 2009
3rd Nine                     Standards                       Envision Math                 Math Out of the   Other
Weeks                                                                                           Box
(cont.)
February   5-5.7 Understand the relationship between the       Topic 14 Lesson 14-8,
Celsius and Fahrenheit temperature scales. TE 346B
TE 346D
5-5.2 Use protractor to measure                     Topic 8 Lesson 8-2,
angles from 0 to 180 degrees.
5-5.4 Apply formulas to determine the               Topic 12 Lessons 12-3,
perimeters and areas of triangles,            12-4, 12-5, 12-6, 12-8
rectangles, and parallelograms.
5-5.5 Apply strategies and formulas to              Topic 13 Lessons 13-5,
determine the volume of rectangular           13-6
prisms.
March      5-5.3 Use equivalencies to convert units of         Topic 14 Lessons 14-2,
measure within the metric system:             14-3, 14-5, TE 373A
converting length in millimeters,
centimeters, meters, and kilometers,
converting liquid volume in milliliters,
centiliters, liters and kiloliters, and
converting mass in milligrams,
centigrams, grams, and kilograms.
5-5.8 Recall equivalencies associated with          Topic 12 Lesson 12-2
length, liquid volume, and mass: 10
millimeters = 1 centimeter, 100
centimeters = 1 meter, 100 meters = 1
kilometer, 10 milliliters = 1 centiliter, 100
liters = 1 kiloliter, and 10 milligrams = 1
centigram, 100 centigrams = 1 gram, and
100 grams = 1 kilogram.

August 10, 2009
4th Nine    Standards                                              EnVision Math             Math Out of the   Other
Weeks                                                                                             Box
Geometry
April/May   5-4.1 Apply the relationships of quadrilaterals   Topic 8: Lessons 8-5, 8-6
to make logical arguments about their
properties.
5-4.2 Compare the angles, side lengths, and       Topic 19: Lesson 19-4
perimeters of congruent shapes.             TE 483B
5-4.3 Classify shapes as congruent.               Topic 19: Lesson 19-4
5-4.4 Translate between two-dimensional           Topic 13: Lessons 13-2,
representations and three-dimensional       13-3
objects.
5-4.5 Predict the results of multiple             Topic 19: Lessons 19-1,
transformations on a geometric shape        19-2, 19-6
when combinations of translation,
reflection, and rotation are used.
5-4.6 Analyze shapes to determine line            Topic 19: Lesson 19-5
symmetry and/or rotational symmetry.

August 10, 2009
Math Pacing Guide for Grade 5
2009-2010
1st Nine Weeks
Number Sense
5-2.4 Analyze the magnitude of a digit on the basis of its place value, using whole
numbers and decimal numbers through thousandths.
5-2.6 Compare whole numbers, decimals, fractions by using symbols <, > and =.
5-2.6 Classify numbers as prime, composite, or neither.
5-2.7 Generate strategies to find the greatest common factor and the least common
multiple of two whole numbers.

Operations
5-2.7 Apply as algorithm to add and subtract decimals through thousandths.

Division
5-2.5 Apply an algorithm to divide whole numbers fluently.
5-2.6 Understand the relationship among the divisor, dividend, and quotient.
5-2.9 Apply divisibility rules for 3, 6, and 9.

2nd Nine Weeks
Number and Operations
5-2.7 Generate strategies to add and subtract fractions with like and unlike
denominators.

Algebra
5-3.1 Represent numeric, algebraic, geometric patterns in words, symbols,
algebraic expressions, and algebraic equations.
5-3.2 Analyze patterns and functions with words, tables, and graphs.
5-3.3 Match tables, graphs, expressions, equations, and verbal description of the
same problem.
5-3.4 Identify application of commutative, associative, and distributive properties
with whole numbers.
5-3.5 Analyze situations that show change over time.

6
th

August 10, 2009
3rd Nine Weeks

Data Analysis and Probability
5-6.1 Design a mathematical investigation to address a question.
5-6.2 Analyze how data-collection methods affect the nature of data set.
5-6.3 Apply procedures to calculate the measures of central tendency (mean,
median, and mode).
5-6.4 Interpret the meaning and application of the measures of central tendency.
5-6.5 Represent the probability of a single-stage event in words and fractions.
5-6.6 Conclude why the sum of the probabilities of the outcomes of an experiment
must equal 1.

Measurement
5-5.1 Use appropriate tools and units to measure objects to the precision of one-
eighth inch.
5-5.6 Apply procedures to determine the amount of elapsed time in hours,
minutes, and seconds within a 24-hour period.
5-5.7 Understand the relationship between the Celsius and Fahrenheit temperature
scales.
5-5.2 Use protractor to measure angles from 0 to 180 degrees.
5-5.4 Apply formulas to determine the perimeters and areas of triangles,
rectangles, and parallelograms.
5-5.5 Apply strategies and formulas to determine the volume of rectangular
prisms.
5-5.3 Use equivalencies to convert units of measure within the metric system:
converting length in millimeters, centimeters, meters, and kilometers,
converting liquid volume in milliliters, centiliters, liters, and kiloliters, and
converting mass in milligrams, centigrams, grams, and kilograms.
5-5.8 Recall equivalencies associated with length, liquid volume, and mass: 10
Millimeters= 1 centimeter, 100 centimeters = 1 meter, 100 meters = 1 kilometer,
10 milliliters = 1 centiliter, 100 liters = 1 kiloliter, and 10 milligrams = 1
centigram, 100 centigrams = 1gram, 100 grams = 1 kilogram.

7
th

August 10, 2009
4th Nine Weeks
Geometry
their properties.
5-4.2 Compare the angles, side lengths, and perimeters of congruent shapes.
5-4.3 Classify shapes as congruent.
5-4.4 Translate between two-dimensional representations and three-dimensional
objects.
5-4.5 Predict the results of multiple transformations on a geometric shape when
combinations of translation, reflection, and rotation are used.
5-4.6 Analyze shapes to determine line symmetry and/or rotational symmetry.

*The remainder of 4th nine weeks should be used to review/spiral skills.

8
th

August 10, 2009

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