GRADE 4 MATHEMATICS CURRICULUM GUIDE

1 GRADE 4 MATHEMATICS CURRICULUM GUIDE Loudoun County Public Schools 2016-2017 Overview, Scope and Sequence, Unit Summaries, The First 20 Days Classroom Routines, CURRICULUM Framework, Learning Progressions (additional attachments: Intervention Ideas, NCSM Great Tasks SOL alignment, Math Literature Connections) Additional resources (including FLIPCHARTS based on VDOE ESS lessons) may be found on the Elementary Math Resources VISION site: Search: Math Elementary Resources; Enrollment key: MATH (all caps) INTRODUCTION TO LOUDOUN COUNTY S MATHEMATICS CURRICULUM GUIDE This CURRICULUM GUIDE is a merger of the Virginia Standards of Learning (SOL) and the MATHEMATICS Achievement Standards for Loudoun County Public Schools. The CURRICULUM GUIDE includes excerpts from documents published by the Virginia Department of Education. Other statements, such as suggestions on the incorporation of technology and essential questions, represent the professional consensus of Loudoun s teachers concerning the implementation of these standards.

2 This CURRICULUM GUIDE is the lead document for planning, assessment, and CURRICULUM work. NAVIGATING THE LCPS MATHEMATICS CURRICULUM GUIDE The CURRICULUM GUIDE is created to link different components of the GUIDE to related information from the Virginia Department of Education, resources created by Loudoun County Public Schools, as well as vetted outside resources. To navigate the CURRICULUM GUIDE , click on the hyperlink (if in MSWord, hold the [ctrl] button and left click with the mouse on the hyperlink). It will direct you to either another resource within the CURRICULUM GUIDE , or to a website resource. If you re directed to a resource within the CURRICULUM GUIDE , to go back, hold the [alt] key and press the left arrow button. MATHEMATICS Internet Safety Procedures 1. Teachers should review all Internet sites and links prior to using it in the classroom. During this review, teachers need to ensure the appropriateness of the content on the site, checking for broken links, and paying attention to any inappropriate pop-ups or solicitation of information.

3 2. Teachers should circulate throughout the classroom while students are on the internet checking to make sure the students are on the appropriate site and are not minimizing other inappropriate sites. 3. Teachers should periodically check and update any web addresses that they have on their LCPS web pages. 4. Teachers should assure that the use of websites correlates with the objectives of the lesson and provide students with the appropriate GRADE 4 MATHEMATICS CURRICULUM GUIDE 2016-2017 2009 Virginia SOL Testing blueprint : Test Items by Strand Dates of LCPS Quarters SOL Reporting Category GRADE 4 SOL Number of Test Items NEW(CAT) Number of Items Traditional Format Number and Number Sense , , 9 12 Computation and Estimation *, * 9 13 Measurement and Geometry , , , , , , 9 13 Probability, Statistics, Patterns, Functions, and Algebra , , , 8 12 *Items measuring these SOL will be completed without the use of a calculator.

4 2016-2017 School Calendar Starts Ends First Quarter August 29 November 4 Second Quarter November 9 January 26 Third Quarter January 30 April 6 Fourth Quarter April 17 June 9 Quarter 1 Quarter 2 Quarter 3 Quarter 4 P = Teacher Workday/Planning Day H = Holiday/ No School F = First Day of School TI = Teacher Institute for new professionals NH = New Hire Workday SD = In School Staff Development days CS = County Wide Staff Development Days LCPS GRADE 4 MATHEMATICS CURRICULUM GUIDE 2016-2017 GRADE 4 Nine Weeks Overview 1st Quarter 2nd Quarter 3rd Quarter 4th Quarter Unit 1-Classroom Routines: The First 20 Days Classroom Routines NUMBER TALKS Problem Solving Unit 2-Number Sense: Whole Numbers (place value) Identify, Compare, and Round Whole Numbers Unit 3-Whole Number Operations & Applications (addition/subtraction) Estimate, Add, Subtract, Word Problems Equality in Addition/Associative Prop.

5 Elapsed Time (to hour) Patterns (numerical) Unit 4-Whole Number Operations & Applications (multiplication/division) Equality in Multiplication/Associative Property Unit 1-Classroom Routines: NUMBER TALKS Problem Solving Elapsed Time (hour, 1/2 hr., 1/4 hr.) Unit 4-Whole Number Operations & Applications (multiplication/division) Estimate, Multiply, Divide, Word Problems Multiples and Factors Unit 5-Data & Statistics Graphing Patterns (in graphing) Unit 6-Number Sense: Rational Numbers (fractions and decimals) b&c Fractions Elapsed Time (1/2, 1/4 hr.) Unit 1-Classroom Routines: NUMBER TALKS Problem Solving Elapsed Time (minute) Unit 6 (cont d)-Number Sense: Rational Numbers (cont d) (fractions and decimals) Fractions (compare) Probability on a # line Decimals Patterns (equiv. fractions) Unit 7-Rational Number Operations Add and Subtract Fractions and Decimals Elapsed Time (minute) Unit 8-Probability & Data Using Rational Numbers Graphing-Analysis (include fractions and probability) Probability Unit 1-Classroom Routines: NUMBER TALKS Problem Solving Elapsed Time (review) Unit 9-Patterns in Measurement Weight/Mass (metric & ) Length (metric & ) Liquid Volume ( Customary) Patterns (equivalent increments on a double # line) Unit 10-Plane Geometry & Transformations Lines and Angles Congruency and Transformations Polygons Patterns (geometric) Review for SOL Assessment & Post SOL Topics 48 days 45 days 48 days 39 days LCPS GRADE 4 MATHEMATICS CURRICULUM GUIDE 2016-2017 GRADE 4 Scope & Sequence Quarter 1.

6 48 days Days Unit Standard Content Strand Topic All year Unit 1-Classroom Routines The First 20 Days Classroom Routines and NUMBER TALKS, Problem Solving, Elapsed Time 10 Unit 2-Number Sense: Whole Numbers Number and Number Sense Place Value 30 Unit 3-Whole Number Operations & Applications (addition & subtraction) Computation and Estimation Estimation Computation and Estimation Computation with Whole Numbers Computation and Estimation Problem Solving Patterns, Functions, and Algebra Equality/Associative Property Measurement Elapsed Time (to the hour) Patterns, Functions, and Algebra Patterns (numerical) and Functions 5 Unit 4-Whole Number Operations & Applications (multiplication and division) Patterns, Functions, and Algebra Equality/Associative Property 3 Assessment, Review, and Intervention LCPS GRADE 4 MATHEMATICS CURRICULUM GUIDE 2016-2017 Quarter 2.

7 45 days Days Unit Standard Content Strand Topic All year Unit 1-Classroom Routines NUMBER TALKS, Problem Solving, Elapsed Time (hour, hour, hour) 27 Unit 4-Whole Number Operations & Applications (multiplication and division) Computation and Estimation Estimation (multiplication and division) Computation and Estimation Computation with whole numbers (multiplication) Computation and Estimation Computation with whole numbers (division) Computation and Estimation Problem solving Computation and Estimation Multiples and Factors 7 Unit 5-Data & Statistics Data and Statistics Graphing Patterns, Functions, and Algebra Patterns (in graphing) 8 Unit 6-Number Sense: Rational Numbers (cont d in 3rd quarter) Number and Number Sense Rational Numbers (equivalent fractions and fraction as a division statement) Measurement Elapsed Time (1/2 hour, 1/4 hour) 3 Assessment, Review, and Intervention LCPS GRADE 4 MATHEMATICS CURRICULUM GUIDE 2016-2017 Quarter 3: 48 days Days Unit Standard Content Strand Topic All year Unit 1-Classroom Routines NUMBER TALKS, Problem Solving, Elapsed Time 17 Unit 6-Number Sense.

8 Rational Numbers (cont d from 2nd quarter) Number and Number Sense Rational Numbers (compare fractions) Probability and Statistics Probability abcd Number and Number Sense Decimals Patterns, Functions, and Algebra Patterns (equivalent fractions) 22 Unit 7-Rational Number Operations abcd Computation and Estimation Computation with Fractions and Decimals Measurement Elapsed Time (to the minute) 5 Unit 8-Probability and Data Using Rational Numbers Probability and Statistics Probability and Graphing (analysis including fractions) 4 Assessment, Review, and Intervention LCPS GRADE 4 MATHEMATICS CURRICULUM GUIDE 2016-2017 Quarter 4: 39 days Days Unit Standard Content Strand Topic All year Unit 1-Classroom Routines NUMBER TALKS, Problem Solving, Elapsed Time 14 Unit 9-Patterns in Measurement Measurement Weight/Mass (metric and Customary) Measurement Length (metric and Customary) Measurement Liquid Volume/Capacity ( Customary) Patterns, Functions, & Algebra Patterns (with conversions) 8 Unit 10-Plane Geometry & Transformations Geometry 2D Geometric Representations Geometry Transformations Geometry Polygons Patterns, Functions, and Algebra Patterns (geometric) 17 Assessment, Review, and Intervention SOL Tests LCPS MATH Unit Summary GRADE 4 2016-2017 Unit: 1 Quarters 1-4 Classroom Routines VDOE Standards of Learning: 1st quarter.

9 The First 20 Days Classroom Routines The student will d) solve single-step and multistep addition, subtraction, and multiplication problems with whole numbers. The student will determine elapsed time in hours and minutes within a 12-hour period. VDOE Process Goals: Problem Solving, Communication, Connections, Reasoning, Representations Learning Targets: I can estimate and solve addition, subtraction, multiplication, and division problems that have two or more steps and use multiple strategies. I can determine elapsed time in hours and minutes within a 12-hour period which may cross over between and P. M. Big Ideas Essential Questions Classroom routines (about 10 minutes each day) can be used to introduce, support, and extend topics throughout the yearly CURRICULUM in order to provide students with regular practice in important mathematical ideas. Equal emphasis should be placed on the structure of problems in solving single- and multi-step practical problems ( : a part plus a part equals a whole in addition and a whole minus a part equals a part in subtraction).

10 Addition and subtraction are inverse operations as are multiplication and division and a variety of story problems should be explored ( : whole unknown, part unknown, unknown change, etc.) Operations in story problems should be modeled using array models, set models, and number line models. Division can be represented by sharing (partitive model) or grouping (quotitive model). For example: Sharing (partitive) Mrs. Smith has 225 pencils and wants to share them with her class. There are 25 students in her class. How many pencils will each student get? Grouping (quotitive) Mrs. Gomez has 288 pencils that come in packs (groups) of 12. How many packs of pencils does Mrs. Gomez have? Elapsed time is the amount of time that has passed between two given times. Elapsed time can be measured in hour and minute increments, crossing from to What problem solving strategies can you use to solve single-step and multistep problems using whole number addition, subtraction, multiplication and/or division?