alexandria city public schools kindergarten mathematics

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


Quarter Unit 2016 SOL Related ELA, Science or Social Studies SOL


Description of Unit Concepts Suggested Pacing



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)



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 First Grade Mathematics Sequence and Pacing for 2018-2019

Quarter Unit 2016 SOL Related Science or Social Studies SOL



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


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





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 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)


2.9 (1.9a) SCI 2.1f I Time Quarter 2


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





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


2.11 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)


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



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


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



Description of Unit Pacing


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 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



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







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.


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


*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

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 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)


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


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


** Units that continue into the next quarter

Alexandria City Public Schools Fifth Grade Mathematics Sequence and Pacing for 2018-2019




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


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







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

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



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

http://www.doe.virginia.gov/testing/sol/standards_docs/mathematics/2016/index.shtml