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Alexandria City Public Schools Kindergarten Mathematics Sequence and Pacing for 2018-2019
Quarter Unit 2016 SOL Related ELA, Science or Social Studies SOL
Assessed (A) Introduced Not Assessed (I)
Description of Unit Concepts Pacing
Quarter 1
Recurring Routines
K.3a A Rote counting to 10 Quarter 1
K.7 A Pennies
K.8 I Calendar
K.9 SCI K.1e SCI K.4d
I Temperature
K.11ab SCI K.1i I Graphing & data
Unit 1: Exploring Our World
K.1a A Sets to 5 5 Weeks
K.10ab SCI K.4b I Plane Figures
K.12 SCI K.4b I Sorting Attributes
K.13 A Identify, Describe, and Create Repeating Patterns
Unit 2: Investigating Numbers to Ten
K.1a A Count Sets to 10 4 Weeks
K.1b ELA K.10 I Read and Represent Numbers to 10
Quarter 2 Recurring Routines
K.3a A Rote Count to 25 Quarter 2
K.3b I Count backward from 10
K.3c SCI K.1f I Introduce number “after”
K.7 A Pennies and Nickels, how many “P” are equivalent to a “ N”?
K.8 I Calendar
K.9 SCI K.9a I Introduce temperature (hotter/colder)
Unit 3: Describing Our World
K.10abc SCI K.4b A Plane figures and location/orientation 3 Weeks
K.12 SCI K.4b A Sorting Attributes
K.13 A Extend and Transfer Repeating Patterns
Unit 4: Investigating Numbers to 20
K.1a A Count Sets to 20 6 Weeks
K.1b A Read, Write, and Represent Numbers to 10
K.2a I Compare & describe sets of 10 as more, fewer, same
K.4a A Fluency within 3
K.11ab I Graphing and Data
Alexandria City Public Schools Kindergarten Mathematics Sequence and Pacing for 2018-2019
Quarter Unit 2016 SOL Related ELA, Science or Social Studies SOL
Assessed (A) Introduced Not Assessed (I)
Description of Unit Concepts Suggested Pacing
Quarter 3 Recurring Routines
K.3a A Rote Count to 50 Quarter 3
K.3c SCI.K.1f I Introduce number “before”
K.8 I Calendar
K.9 SCI K.10b I Introduce height (shorter/taller)
K.11ab SCI K.10b I Graphing and Data
Unit 5: Building with Tens
K.1b ELA K.10 A Read, Write, and Represent Numbers to 20 4 Weeks
K.2a A Compare & describe sets of 10 as more, fewer, same
K.2b A Compare and order sets from least to greatest
K.3b A Count Back from 10
K.3d A Count by 10
K.7 SS K.9ab A Pennies and Dimes
Unit 6: Exploring
Fair Shares
K.5 A Fractions 2 Weeks
Unit 7: Constructing Stories with Numbers
K.4a A Fluency within 4 3 Weeks
K.4b I Part-Whole relationships to 10
K.6 I Addition/Subtraction Number Stories (Problem Types; join: result unknown
& part-whole: whole unknown)
Quarter 4 Recurring Routines
K.3a A Rote Count to 100 Quarter 4
K.3bd Review Count back from 10 and count by 10
K.11ab SCI K.10b I Graphing and data
Unit 8: Understanding and Applying Number Sense
K.2b A Compare and order sets from greatest to least 4 Weeks
K.3c SCI K.1f A Identify number before (10) & after (100)
K.4a A Fluency within 5
K.4b A Part-Whole Relationships within 10
K.6 A Addition/Subtraction Number Stories (Problem Types; Separate: result
unknown & part-whole: both parts unknown )
Unit 9: Measuring Our World
K. 7 A Pennies and Quarters 4 Weeks
K.8 A Calendar
K.9 A Measurement
K.11ab SCI K.10b A Graphing and Data
Alexandria City Public Schools Kindergarten Mathematics Sequence and Pacing for 2018-2019
Alexandria City Public Schools First Grade Mathematics Sequence and Pacing for 2018-2019
Quarter Unit 2016 SOL Related Science or Social Studies SOL
Assessed (A) Introduced Not Assessed (I)
Description of Unit Concepts Pacing
Quarter 1
Recurring Routines
1.1a (K.3a) I Rote counting to 110 Quarter 1
1.8 (K.7) SS 1.8 & 1.9 I Coin Identification and Value
1.9b (K.8) SCI 1.7abc I Calendar
1.12ab (K.11) SCI 1.7abc I Graphing and data
Unit 1: Early Number Sense
1.1a (K.3a) A Count forward by ones to 110 from 0 6 Weeks
1.1b (K.1b) A Write numbers 0-30 in sequence
1.1c (K.3b) A Count back from 20
1.1d (K.3ad) A Count by 1s and 10s with objects to 110
1.2a I Place Value Tens and Ones
1.7a (K.4) I Recognize and describe part to Whole Fluency up to 10
Unit 2: Geometry and Spatial Sense
1.11ab (K.10abc) A Plane Figures 3 Weeks
1.13 (K.12) SCI 1.1c A Sort and Classify Objects
1.14 (K.13) SCI 1.1h A Repeating Geometric Patterns
Quarter 2 Recurring Routines
1.1a (K.3a) Review Count forward by ones to 110 from 0 Quarter 2
1.1c (K.3b) A Count backward from 30
1.9ab (K.8) SCI 1.7abc I Calendar & time
1.12ab (K.11) SCI 1.7abc I Graphing and Data
Unit 3: Operations and Simple Equations
1.5ab I Select a reasonable magnitude 5 Weeks
1.6 (K.6) A Addition/Subtraction Story Problems within 10: Problem Types; Join: result
unknown, Separate: result unknown; Part-Whole: whole unknown; Compare: difference unknown
1.7a(K.4) A Recognize and describe part to Whole Fluency up to 10
1.15 A Equality
Unit 4: Understanding a System of Tens
1.1b (K.1b) A Write Numbers in sequence 0-110 4 Weeks
1.1d (K.3ad) A Count by 5s and 2s with objects
1.2a A Place Value Tens and Ones
1.3 I Ordinal Numbers
1.8 (K.7) SS 1.8 & 1.9 I Money- coins equivalent to $1
1.14 (K.13) SCI 1.1h A Repeating and Growing Number Patterns
Alexandria City Public Schools First Grade Mathematics Sequence and Pacing for 2018-2019
Quarter Unit 2016 SOL Related Science or Social Studies SOL
Assessed (A) Introduced Not Assessed (I)
Description of Unit Concepts Pacing
Quarter 3 Recurring Routines
1.1a (K.3) Review Count to 110 from 0 Quarter 3
1.8 (K.7) SS 1.8 & 1.9 I Money
1.9ab (K.8) SCI 1.7abc I Calendar & time
Unit 5 Application in a Base-Ten Structure
1.1a (K.3) A Count to 110 starting at any number 3 Weeks
1.1b (K.1b) A Write Numbers to 110 out of sequence
1.1c (K.3b) A Count backward from 30 given any number
1.2bc A Place Value Compare and Order Numbers
1.5ab A Magnitude- Justification of Reasoning
Unit 6 Fractions and Time
1.4ab (K.5) A Fractions 3 Weeks
1.9a A Time
Unit 7 Analyze Data and Math Stories
1.6 (K.6)
A Addition and Subtraction Number Stories within 20- Problem Type: Join: change unknown, Separate: change unknown; Part-Whole: one part unknown
3 Weeks.
1.12ab (K.11) SCI 1.1bi SCI 1.7abc
A Graphing and Data
Quarter 4
Recurring Routines
1.1a (K.3) Review Count to 110 starting at any number Quarter 4
1.3 A Ordinal Numbers
1.8 (K.7) SS 1.8 & 1.9 I Money
1.9b (K.8) SCI 1.7abc A Calendar
Unit 8 Financial Literacy and Measurement
1.8 (K.7) SS 1.8 & 1.9 A Money- coins equivalent to $1 Social studies- 1.8, 1.9 (save money) 6 Weeks
1.10(K.9) SCI 1.1bf SCI 1.3c
A Measurement
Unit 9 Addition and Subtraction Stories
1.6 (K.6)
A Addition/Subtraction Number Stories within 20- Problem Type: Join: start unknown, Separate: start unknown; Part-Whole: both parts unknown Compare: bigger unknown; Compare: smaller unknown
3 Weeks
1.7ab (K.4) A Recognize, describe, & demonstrate fluency with addition/subtraction within 10
Alexandria City Public Schools Second Grade Mathematics Sequence and Pacing for 2018-2019
Quarter Unit 2016 SOL Related Science or Social Studies SOL
Assessed (A) Introduced Not Assessed (I)
Description of Unit Concepts Pacing
Quarter 1
Recurring Routines
2.9 (1.9a) SCI 2.1f I Time Quarter 1
2.10ab (1.9b) I Calendar
2.15ab (1.12ab)
SCI 2.1h SCI 2.6bc
I Graphing and data
Unit 1: Exploring Numbers
2.1a (1.2) A Read, write, and identify the place value of each digit in a two-digit number 4 Weeks
2.2a (1.1d) I Count by 2s, 5s, and 10s to 120
2.2c A Even and Odd Numbers
2.3ab (1.3) A Ordinal Numbers
2.16 (1.14) I Number Patterns, functions and patterns with different numbers
Unit 2: Understand Addition and Subtraction
2.5a (1.6) A Addition and Subtraction Practical Problems to 20 5 Weeks
2.5b (1.7) I Part-Whole Fluency within 10
2.6b (1.6) A Determine sums and differences with situations to 20- Problem Types- Join:
result unknown, Separate: result unknown; Part-Whole: whole unknown; Compare: difference unknown ;Join: change unknown, Separate: change unknown; Part-Whole: one part unknown Join: start unknown, Separate: start unknown;
2.17 (1.15) A Equality (equal and not equal symbol)
Quarter 2 Recurring Routines
2.9 (1.9a) SCI 2.1f I Time Quarter 2
2.10ab (1.9b) I Calendar
2.11 SCI 2.1e SCI 2.6bc
I Temperature
2.15ab (1.12ab)
SCI 2.1h SCI 2.6bc
I Graphing and data
Unit 3: Using Place Value
2.1abc (1.2bc) A Read, write, and identify the place value of each digit in a three-digit number, 10 more/less, and Compare and Order Numbers to 999
4.5 Weeks
2.1d A Rounding
2.2b A Count backward by 10
2.5b(1.7) A Part-Whole Fluency within 20
Unit 4: Financial Literacy: Money and Patterns
2.2a (1.1d) A Count by 2s, 5s, and 10s to 120 starting at various multiples of 2, 5, 10 4.5 Weeks
2.7a (1.8) SS 2.8 A Money- Count and compare pennies, nickels, dimes, and quarters whose total value is $2 or less
2.7b A Use cent and dollar symbols
2.16 (1.14) SCI 2.1i A Number Patterns
Alexandria City Public Schools Second Grade Mathematics Sequence and Pacing for 2018-2019
Quarter Unit 2016 SOL Related Science or Social Studies SOL
Assessed (A) Introduced Not Assessed (I)
Description of Unit Concepts Pacing
Quarter 3 Recurring Routines
2.7ab (1.8) SS 2.8 Review Money- Count and compare pennies, nickels, dimes, and quarters and use the symbols for money
Quarter 3
2.9 (1.9a) SCI 2.1f I Time
2.10ab (1.9b) I Calendar
2.11 SCI 2.1e SCI 2.6bc
I Temperature
Unit 5: Addition and Subtraction to 99
2.1b A 100 more/less 6 Weeks
2.5a (1.6) A Addition and Subtraction Practical Problems to 20
2.6abc (1.6)
A Estimation, Addition and Subtraction Number Stories 99 or less- Problem Type: Part-Whole: both parts unknown Compare: bigger unknown; Compare: smaller unknown
Unit 6 Fractions, Data, and Probability
2.4abc (1.4) A Fractions: name, write, represent and compare 3 Weeks
2.14 SCI 2.1gj A Data and Probability
2.15ab (1.12ab) SCI 2.1h SCI 2.6bc
A Graphing and data (pictographs and bar graphs)
Quarter 4 Recurring Routines
2.6abc (1.6)
Review Estimation, Addition and Subtraction Number Stories -99 or less- All Problem Types
Quarter 4
2.7ab (1.8) SS 2.8 Review Money- Count and compare pennies, nickels, dimes, and quarters and use the symbols for money
2.10ab (1.9) I Calendar
Unit 7: Geometry
2.12ab (1.6) A Symmetry 4 Weeks
2.13 (1.11ab) SCI 2.1l SCI 2.1d
A Plane and Solid Figures
2.16 (1.14) A Object and picture patterns
Unit 8: Measurement
2.8ab (1.10) SCI 2.1b SCI 2.3b
A Measurement (length and weight) 4 Weeks
2.9 (1.9) SCI 2.1f A Tell time to the nearest 5 minutes
2.10ab (1.9) A Calendar
2.11 SCI 2.1e SCI 2.6bc
A Temperature
Alexandria City Public Schools Third Grade Mathematics Sequence and Pacing for 2018-19
Quarter Unit 2016 SOL Related Science SOL
Assessed (A) Introduced Not Assessed (I)
Description of Unit Concepts Pacing
Quarter 1
Recurring Routines
3.6a (2.7ab) I Review Grade 2 -Money- values of coins up to $2 Quarter 1
3.9a (2.9) SCI 3.1f I Review Grade 2- Telling Time to the hour and half hour
3.9c (2.10ab) I Review Grade 2- Reading and Interpreting a Calendar
3.15ab (2.15) SCI 3.1h I Review Grade 2- Data and graphs: read and interpret picture and bar graphs
Unit 1: Understanding
Addition and Subtraction Relationships
3.3a (2.5ab) A Review from Grade 2- Addition/Subtraction Practical Problems within 20 3 Weeks
3.3b (2.5ab) I Addition and subtraction practical problems, all problem types
3.16 SCI 3.1ij A Patterns found in objects, pictures, numbers, and tables
3.17 A Equivalent Relationships (addition/subtraction)
Unit 2: Understanding
Place Value
3.1abc (2.1a) A read, write, and identify 4-digit place value, compare and round with numbers 9,999 or less to the nearest ten and hundred
2 Weeks
Unit 3
Exploring Computation and Data Concepts
3.3ab A Addition/subtraction within 1,000 (computation & estimation), all problem types
4 Weeks
3.15ab SCI 3.1h A Data and graphs: read and interpret picture and bar graphs
Quarter 2 Recurring Routines
3.6a (2.7ab) I Money- values of coins and bills up to $5 Quarter 2
3.9a (2.9) SCI 3.1f I Telling Time to the nearest 5 minutes
3.9c (2.10ab) I Reading and Interpreting a Calendar
3.15ab SCI 3.1h Review Data and graphs
3.16 SCI 3.1ij Review Patterns found in tables, objects, and pictures
Unit 4: Investigating Geometric Concepts
3.11 SCI 3.2abcd A Points, rays, lines, line segments, and angles 3 Weeks
3.12abc (2.13) SCI 3.2abcd A Define, identify and name polygons; combine & subdivide polygons
3.13 SCI 3.2abcd A Congruent and noncongruent figures
Unit 5: Applying Place Value and Computation Concepts
3.1abc (2.1acd) SCI 3.6abcd A Read, write and identify 6-digit place value; compare and round with numbers 9,999 or less to the nearest ten, hundred, and thousand
2 Weeks
3.3ab SCI 3.6abcd A Addition and subtraction within 9,999 (computation and estimation)
Unit 6 Visualizing Multiplication and Division
3.4abc A Represent multiplication and division, create and solve single step problems, demonstrate fluency with multiplication facts,1,2,5,10, apply algebraic properties
4 Weeks
3.8b I Area of a rectangle (connect to area model with concrete manipulatives)
3.17 A Equivalent Relationships (multiplication/division)
Alexandria City Public Schools Third Grade Mathematics Sequence and Pacing for 2018-19
Quarter Unit 2016 SOL Related Science SOL
Assessed (A) Introduced Not Assessed (I)
Description of Unit Pacing
Quarter 3 Recurring Routines
3.15ab SCI 3.1h Review Data- read and interpret picture and bar graphs Quarter 3
3.16 SCI 3.1ij Review Patterns, tables, and object pictures
3.6a (2.7ab) I Money- Count and compare pennies, nickels, and dimes and use the symbols for money
3.10 (2.11) SCI 3.1e I Temperature
Unit 7 Time and Money
3.6abc A Money and making change 3 Weeks
3.9abc SCI 3.1f A Tell time, elapsed time, and equivalent periods of time
Unit 8
Representing and Understanding Fractions and Probability
3.2abc SCI 3.8a A Fractions
4 Weeks
3.5 A Add and subtract fractions having like denominators
3.14 SCI 3.1b A Probability
Unit 9 Understanding and Modeling Multiplication and Division
3.4d
A Single step multiplication where one factor is 99 or less and the second factor is 5 or less
2 Weeks
3.8b I Area- connections to modeling multiplication SOL 3.4d
Quarter 4 Recurring Routines 3.3ab Review Addition and subtraction within 9,999 (computation and estimation), all problem types
Quarter 4
3.4abc Review Represent multiplication and division, create and solve single step problems, demonstrate fluency with multiplication facts,1,2,5,10, apply algebraic properties
3.16 SCI 3.1ij Review Patterns, tables, and object pictures
Unit 10: Exploring Measurement Concepts
3.7ab
SCI 3.1e A Measurement: Length to the nearest ½ inch, inch, foot, yard, centimeter, and meter; and liquid volume in cups, pints, quarts, gallons, and liters.
3 Weeks
3.8ab A Perimeter: the distance around polygons using U.S. Customary and metric units and determine area by counting the number of square units needed to cover a surface.
3.10 SCI 3.1e A Temperature
Project – STEM – rube Goldberg
One suggestion Geometry application plan for simple machines – planning and how shapes and pieces fit together. (Tangrams)
3-5 Weeks
Alexandria City Public Schools Fourth Grade Mathematics Sequence and Pacing for 2018-2019
Quarter Unit 2016 SOL Related Science SOL
Assessed (A) Introduced Not Assessed (I)
Description of Unit Concepts Pacing
Quarter 1
Recurring Routines
4.3a I Read, Write, Represent & Identify decimals expressed through hundredths Quarter 1
4.9 (3.9abc) SCI 4.1d I Review Grade 3 SOL: Telling Time, Calendar, Elapsed Time
Unit 1: Understanding and Applying Computation Concepts with Basic Facts
4.4b*, d A Estimate & determine sums /differences of whole numbers 10,000 or less 3 Weeks
4.4a*, c*, d A Multiplication and division with (factors of 12 or less)
4.5a A Multiples and factors (LCM & GCF)
4.15 A Patterns in objects, pictures, numbers, and tables
4.16 I Equality concepts with addition/subtraction and basic facts
Unit 2: Place Value and Computation with Addition and Subtraction Application
4.1abc A Read, write, identify, compare, order & round through millions. 3.5 Weeks
4.4b*, d A Estimate and determine sums and differences of whole numbers. Create and solve single step and multi-step practical problems 999,999 or less
4.7 SCI 4.1c I Solve practical problems that involve determining perimeter
4.14abc SCI 4.1ik SCI 4.2a SCI 4.6bc
A Collect, organize and represent data; Interpret data; Compare two different representations of data
Unit 3: Exploring Geometric Concepts
4.10ab SCI 4.2abcd SCI 4.3abc
A Identify and describe points, lines, line segments, rays, angles, endpoints, vertices, intersecting, parallel, and perpendicular
2.5 Weeks
4.11 SCI 4.2abcd A Identify, Describe, Compare, and Contrast Plane & Solid Figures
4.12 A Classify Quadrilaterals
Quarter 2 Recurring Routines
4.3a I Read, Write, Represent & Identify decimals expressed through hundredths Quarter 2
4.5a Review Multiples and factors (LCM & GCF)
4.9 (3.9abc) SCI 4.1d I Review Grade 3 SOL: Telling Time, Calendar, Elapsed Time
Unit 4: Multi-digit Multiplication & Division
4.4a*,b*, c*, d A Estimate and solve single and multi-step multiplication and division 7 Weeks
4.7 SCI 4.1c I Solve practical problems that involve determining area
4.16 A Equality
Unit 5:Time
4.9(3.9)
SCI 4.1d
A
Elapsed Time (prior to this unit, build background knowledge and review grade 3 skills daily)
2 Weeks
Alexandria City Public Schools Fourth Grade Mathematics Sequence and Pacing for 2018-2019
Quarter Unit 2016 SOL Related Science SOL
Assessed (A) Introduced Not Assessed (I)
Description of Unit Concepts Pacing
Quarter 3 Recurring Routines
4.3a I Read, Write, Represent & Identify decimals expressed through hundredths Quarter 3
4.9 SCI 4.1d Review Elapsed Time
4.15 Review Patterns in objects, pictures, numbers, and tables
Unit 6 Probability, Fraction and Decimal Sense
4.2a*, b*, c
SCI 4.1l A Compare and order fractions; represent equivalent fractions; identify fractions as division
5 Weeks
4.3a, b, c, d* SCI 4.1l A Read, write, represent, identify, round, compare, order and write decimal and fraction equivalents.
4.13abc A Probability
Unit 7 Computation with Fraction and Decimal Numbers
4.5b*, c A Computation (addition and subtraction) with fractions and mixed numbers having like and unlike denominators s limited to 2, 3, 4, 5, 6, 8, 10, and 1 (Subtraction with fractions will be limited to problems that do not require regrouping)
4 Weeks
4.6a*, b A Computation (addition and subtraction) with decimals through thousandths, using concrete materials, pictorial representations, and paper and pencil.
Quarter 4 Recurring Routines
4.14abc SCI 4.1ik SCI 4.2a SCI 4.6bc
Review Collect, organize and represent data; Interpret data; Compare two different representations of data
Quarter 4
Unit 8 Measurement
4.7 SCI 4.1c A Area and perimeter in U.S. Customary and metric units. 3 Weeks
4.8abcd SCI 4.1c A Measurement: Estimate and measure length in U.S. Customary and metric units, estimate and measure weight/math and describe the result in U.S. Customary and metric units, equivalent measures in the U.S. Customary system, solve practical problems in U.S. Customary units.
Suggested End of the Year Enrichment Project
3-5 Weeks
Alexandria City Public Schools Fourth Grade Mathematics Sequence and Pacing for 2018-2019
*Items measuring these SOL will be completed without the use of a calculator.
Math and Science Connections: Use Science as the context for practical problems in computation and estimation
Assessment windows considered: September- Imagine Math and RI; February- WIDA ACCESS; May SOL testing; EOQ: Alternative Assessments for
Writing and Division-wide benchmarks
Recurring Routines is an overarching unit taught throughout the quarter in conjunction with the other units. The purpose and goal of Recurring
Routines is to build background knowledge to prepare students to understand certain concepts and to review content when necessary.
Justification of the Units:
Mathematics instruction in fifth grade should continue to foster the development of number sense, with greater emphasis on decimals and
fractions. Students with good number sense understand the meaning of numbers, develop multiple relationships and representations among
numbers, and recognize the relative magnitude of numbers. They should learn the relative effect of operating on whole numbers, fractions, and
decimals and learn how to use mathematical symbols and language to represent problem situations. Number and operation sense continues to be
the cornerstone of the curriculum.
The focus of instruction in grades three through five allows students to investigate and develop an understanding of number sense by modeling
numbers, using different representations (e.g., physical materials, diagrams, mathematical symbols, and word names), and making connections
among mathematical concepts as well as to other content areas. Students should develop strategies for reading, writing, and judging the size of
whole numbers, fractions, and decimals by comparing them, using a variety of models and benchmarks as referents (e.g., or 0.5). Students should
apply their knowledge of number and number sense to investigate and solve a variety of problem types.
Standards of Learning Documents for Mathematics – Adopted 2016, Fully implemented and assessed in 2018-19 http://www.doe.virginia.gov/testing/sol/standards_docs/mathematics/2016/index.shtml
Alexandria City Public Schools Fourth Grade TAG Mathematics Sequence and Pacing for 2018-2019
Quarter Unit 2016 SOL Related Science SOL
Assessed (A) Introduced Not Assessed (I)
Description of Unit Concepts Pacing
Quarter 1 Unit 1 Understanding and Applying Computation Concepts with Basic Facts
4.4b*, d A Estimate and determine sums /differences of whole numbers 10,000 or less 3.5 Weeks 4.4a*, c* A Multiplication and division with (factors of 12 or less)
4.5a A Multiples and factors (LCM & GCF)
4.15 5.18
A Patterns in objects, pictures, numbers, and tables
4.16 I Equality concepts with addition/subtraction and basic facts
5.19abcd SCI 5.1ei I Variables
Unit 2 Place Value and Computation Application
4.1abc A Read, write, identify, compare, order & round through millions. 3.5 Weeks 4.4b*, d A Estimate and determine sums and differences of whole numbers. Create and solve single
step and multi-step practical problems 999,999 or less
4.7 SCI 4.1c I Solve practical problems that involve determining perimeter ,
4.14abc SCI 4.1iK, 4.2a,4.6bc
A Collect, organize and represent data; Interpret data; Compare two different representations of data
5.3ab A Prime/composite & odd/even
Unit 3 Exploring Statistics and Time
4.9 5.11
SCI 4.1d, SCI 5.1c
A Elapsed time 2 Weeks
5.16abc SCI 5.1gh A Data and graphs
5.17abcd SCI 5.6abc A Mean, median, mode, & range
Quarter 2 Unit 4 Multi-digit Multiplication & Division
4.4b*, c*, d 5.4
A 4 Estimate and solve single and multi-step multiplication and division; 5 Whole number computation and algebraic properties
7 Weeks
4.7 5.8ab
SCI 4.1c I 4 Solve practical problems that involve determining area ; 5 Area and perimeter
4.16 A Equality
5.7* A Order of operations
5.19abcd SCI 5.1ei A Variables
Unit 5** Probability, Fraction and Decimal Sense (assessed in Quarter 3)
4.13abc
5.15
I
Probability- Fundamental Counting Principle 2
Weeks**
4.2a*, b*, c
5.2a*, b*
SCI 4.1l I Compare & order fractions mixed numbers and or decimals; represent equivalent fractions; identify fractions as division;
4.3a, b, c, d*
5.1
SCI 4.1l I
Decimals: read, write, represent, identify, round, compare, order and write decimal and fraction equivalents
Alexandria City Public Schools Fourth Grade TAG Mathematics Sequence and Pacing for 2018-2019
Quarter 3 Unit 5 continued… Probability, Fraction and Decimal Sense
4.13abc
5.15
A Probability- Fundamental Counting Principle 3 Weeks
4.2a*, b*, c
5.2a*, b*
SCI 4.1l A Compare & order fractions mixed numbers and or decimals; represent equivalent fractions; identify fractions as division;
4.3a, b, c, d*
5.1
SCI 4.1l A Decimals: read, write, represent, identify, round, compare, order and write decimal and fraction equivalents
Unit 6 Computation with Fraction & Decimal Numbers
4.5b*, c
5.6a, b*
A Computation with fractions and mixed numbers 4 Weeks
4.6a*, b
5.5a*, b
A Computation (all operations) and estimation with decimals; practical problems with all operations of decimals
Unit 7**
Exploring Geometric Concepts (assessed in Quarter 4)
4.10ab SCI 4.2abcd SCI 4.3abc
I Identify and describe points, lines, line segments, rays, angles, endpoints, vertices, intersecting, parallel, and perpendicular
2 Weeks**
4.11 SCI 4.2abcd I Identify, Describe, Compare, and Contrast Plane & Solid Figures
4.12 I Classify Quadrilaterals
5.10 I Parts of a Circle
5.12 SCI 5.3de I Classify and measure angles
5.13ab I Classify triangles, investigate the sum of the interior angles in a triangle
5.14ab SCI 4.8a I Transformations and combining and subdividing polygons
Quarter 4 Unit 7 continued: Exploring Geometric Concepts
4.10ab SCI 4.2abcd SCI 4.3abc
A Identify and describe points, lines, line segments, rays, angles, endpoints, vertices, intersecting, parallel, and perpendicular
1 Week
4.11 SCI 4.2abcd A Identify, Describe, Compare, and Contrast Plane & Solid Figures
4.12 A Classify Quadrilaterals
5.10 A Parts of a Circle
5.12 SCI 5.3de A Classify and measure angles
5.13ab A Classify triangles, investigate the sum of the interior angles in a triangle
5.14ab SCI 4.8a A Transformations and combining and subdividing polygons
Unit 8
4.8abcd
5.9ab
SCI 4.1c SCI 5.1b
A Estimate & measure length in U.S. Customary and metric units, estimate and measure weight/math and describe the result in U.S. Customary and metric units, equivalent measures in the U.S. Customary system and Metric, solve practical problems in U.S. Customary units and Metric Units.
2 Weeks
4.7 5.8ab
SCI 5.1b A Area and perimeter in U.S. Customary and metric units. Area, Perimeter, and Volume
*Items measuring these SOL will be completed without the use of a calculator.
** Units that continue into the next quarter
Alexandria City Public Schools Fifth Grade Mathematics Sequence and Pacing for 2018-2019
Quarter Unit 2016 SOL Related Science SOL
Assessed (A) Introduced Not Assessed (I)
Description of Unit Concepts Pacing
Quarter 1
Recurring Routines
5.11 (4.9) SCI 5.1c I Elapsed Time Quarter 1
4.1abc & 4.3abcd Review Whole number and decimal place value review
Unit 1: Exploring Algebraic Concepts
5.3ab A Prime/Composite & Odd/Even 3.5 Weeks
5.18 A Number Patterns
5.19abcd SCI 5.1ei I Variables
Unit 2: Understanding and Applying Whole Number Computation
5.4 A Whole Number Computation, Problem Types & Algebraic Properties
5.5 Weeks
5.7* A Order of Operations
5.8ab I Solve Practical Problems with Area & Perimeter
5.19abcd SCI 5.1ei A Variables
Quarter 2 Recurring Routines
5.4 Review Whole Number Computation, Problem Types & Algebraic Properties
Quarter 2
5.7* Review Order of Operations
5.11 (4.9) SCI 5.1c I Elapsed Time
5.19abcd SCI 5.1ei Review Variables
Unit 3 Exploring Geometric Concepts
5.10 A Parts of a Circle 4 Weeks
5.12 SCI 5.3de A Classify & Measure Angles
5.13ab A Classify Triangles & Investigate the Sum of the Interior Angles to Determine an Unknown Angle Measure
5.14ab (4.11b) SCI 4.8a A Transformations and Combining & Subdividing Polygons
Unit 4
Fraction and Decimal Sense Investigations
5.2a*, b* (4.2abc)
A Fraction & Decimal Equivalencies with and without Models Compare & Order Fractions, Mixed Numbers and/or Decimals
5 Weeks
Alexandria City Public Schools Fifth Grade Mathematics Sequence and Pacing for 2018-2019
Quarter Unit 2016 SOL Related Science SOL
Assessed (A) Introduced Not Assessed (I)
Description of Unit Concepts Pacing
Quarter 3 Recurring Routines
5.4 Review Whole Number Computation, Problem Types & Algebraic Properties
Quarter 3
5.7* Review Order of Operations
5.11 (4.9) SCI 5.1c I Elapsed Time
5.19abcd SCI 5.1ei Review Variables
Unit 5
Representing and Applying Computation Skills with Fraction and Decimal Numbers
5.1 (4.3abc) A Round Decimals 6 Weeks
5.5a*, b (4.6) A Estimate & Determine the Product and Quotient of Two Numbers Involving Decimals. Create & solve single step practical problems with all operations of decimals and multi-step practical problems involving addition, subtraction, and multiplication of decimals.
5.6a, b* (4.5abc) A Computation with Fractions and Mixed Numbers
Unit 6 Exploring Probability and Statistics
5.15 (4.13abc) A Probability- Fundamental Counting Principle 3 Weeks
5.16abc SCI 5.1gh A Data & Graphs
5.17abcd SCI 5.6abc A Mean, Median, Mode, & Range
Quarter 4 Recurring Routines
5.4 Review Whole Number Computation, Problem Types & Algebraic Properties
Quarter 4
Unit 7
Measurement
5.8ab
SCI 5.1b A Area, Perimeter, and Volume
3 Weeks
5.9ab (4.8abcd) SCI 5.1b A Measurement- Metric System, Equivalent Measures and Practical Problems
5.11 (4.9) SCI 5.1c A Elapsed Time
Alexandria City Public Schools Fifth Grade Mathematics Sequence and Pacing for 2018-2019
*Items measuring these SOL will be completed without the use of a calculator.
Assessment windows considered: September- Imagine Math and RI; February- WIDA ACCESS; May SOL testing; EOQ: Alternative Assessments for
Writing and Division-wide benchmarks
Recurring Routines is an overarching unit taught throughout the quarter in conjunction with the other units. The purpose and goal of Recurring
Routines is to build background knowledge to prepare students to understand certain concepts and to review content when necessary.
Justification of the Units:
Mathematics instruction in fifth grade should continue to foster the development of number sense, with greater emphasis on decimals and
fractions. Students with good number sense understand the meaning of numbers, develop multiple relationships and representations among
numbers, and recognize the relative magnitude of numbers. They should learn the relative effect of operating on whole numbers, fractions, and
decimals and learn how to use mathematical symbols and language to represent problem situations. Number and operation sense continues to be
the cornerstone of the curriculum.
The focus of instruction in grades three through five allows students to investigate and develop an understanding of number sense by modeling
numbers, using different representations (e.g., physical materials, diagrams, mathematical symbols, and word names), and making connections
among mathematical concepts as well as to other content areas. Students should develop strategies for reading, writing, and judging the size of
whole numbers, fractions, and decimals by comparing them, using a variety of models and benchmarks as referents (e.g., or 0.5). Students should
apply their knowledge of number and number sense to investigate and solve a variety of problem types.
Standards of Learning Documents for Mathematics – Adopted 2016, Fully implemented and assessed in 2018-19 http://www.doe.virginia.gov/testing/sol/standards_docs/mathematics/2016/index.shtml