GRADE 5 MATHEMATICS CURRICULUM GUIDE

1 GRADE 5 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.

2 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. 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.

3 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. 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 4. Teachers should assure that the use of websites correlates with the objectives of the lesson and provide students with the appropriate GRADE 5 MATHEMATICS CURRICULUM GUIDE 2016-2017 2009 Virginia SOL Testing Blueprint: Test Items by Strand Dates of LCPS Quarters SOL Reporting Category 5th GRADE SOL Number of Test Items (CAT) NEW Number of Items Traditional Number and Number Sense , *, 5 7 Computation and Estimation *, *, *, * 9 13 Measurement and Geometry , , , , , 8 12 Probability, Stats, Patterns, Functions, & Algebra , , , , , 13 18 *Items measuring these SOL will be completed without the use of a calculator. 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 5 MATHEMATICS CURRICULUM GUIDE 2016-2017 GRADE 5 Nine Weeks Overview 1st Quarter 2nd Quarter 3rd Quarter 4th Quarter Unit 1-Classroom Routines.

5 The First 20 Days Classroom Routines NUMBER TALKS Problem Solving (whole numbers) Unit 2-Whole Number Operations & Applications Single- and Multi-step Practical Problems Using Whole Number Operations Prime/Composite, Odd/Even Variables, Expressions, and Equations Perimeter and Area (whole numbers) Unit 4-Comparing & Applying Rational Number Concepts Elapsed Time Unit 3-Patterns & Properties Distributive Property Order of Operations Relationships in Numerical and Geometric Patterns Unit 1-Classroom Routines: NUMBER TALKS Problem Solving Elapsed Time Graphs Unit 4-Comparing & Applying Rational Number Concepts Decimal Place Value and Rounding Fraction/Decimal Equivalents, Comparing, Ordering Probability & Sample Space Relationships in Numerical Patterns (see unit summary) Unit 5-Rational Number Operations & Measurement Applications Adding and Subtracting Fractions in Single- and Multi-Step Problem Solving, Simplest Form Unit 1-Classroom Routines.

6 NUMBER TALKS Problem Solving Elapsed Time Graphs Unit 5 (cont d)-Rational Number Operations & Measurement Applications Decimal Operations Metric & Customary Measurement, Perimeter/Area/Volume with Fractions and Decimals Relationships in Numerical Patterns (conversions--see unit summary) Unit 6-Classifying & Subdividing Plane Geometric Figures Angles Angles and Triangles Plane Figures, Combining and Subdividing Circles Unit 7-Data & Statistics Mean, Median, Mode, Range Unit 1-Classroom Routines: NUMBER TALKS Problem Solving Elapsed Time Graphs Unit 7-Data & Statistics Stem and Leaf, Line Graphs Mean, Median, Mode, Range Review for SOL Assessment & Post SOL Topics 48 days 45 days 48 days 39 days LCPS GRADE 5 MATHEMATICS CURRICULUM GUIDE 2016-2017 GRADE 5 Scope & Sequence Quarter 1.

7 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, Graphs 24 Unit 2-Whole Number Operations & Applications Computation and Estimation Whole Number Problem Solving Number and Number Sense Prime/Composite/Even/Odd Patterns, Functions, and Algebra Variables, Expressions, and Equations Measurement Perimeter and Area with Whole Numbers 15 Unit 3-Patterns & Properties Patterns, Functions, and Algebra Distributive Property Computation and Estimation Order of Operations Patterns, Functions, and Algebra Relationships in Numerical and Geometric Patterns 5 Unit 4-Comparing & Applying Rational Number Concepts Measurement Elapsed Time 4 Assessment, Review, and Intervention LCPS GRADE 5 MATHEMATICS CURRICULUM GUIDE 2016-2017 Quarter 2.

8 45 days Days UNIT Standard Content Strand Topic All year Unit 1-Classroom Routines NUMBER TALKS, Problem Solving, Elapsed Time, Graphs 27 Unit 4-Comparing & Applying Rational Number Concepts Number and Number Sense Decimal Place Value and Rounding Number and Number Sense Fraction/Decimal Equivalents, Comparing, Ordering Probability and Statistics Probability and Sample Space Patterns, Functions, and Algebra Relationships in Numerical Patterns 14 Unit 5-Rational Number Operations & Measurement Applications Computation and Estimation Adding and Subtracting Fractions in Single- and Multistep Problem Solving, Simplest Form 4 Assessment, Review, and Intervention LCPS GRADE 5 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, Graphs 25 Unit 5 (cont d)-Rational Number Operations & Measurement Applications Computation and Estimation Decimal Operations Measurement Metric and Customary Systems, Perimeter/Area/Volume with Fractions and Decimals Patterns, Functions, and Algebra Relationships in Numerical Patterns (conversions see unit summary)

9 15 Unit 6-Classifying & Subdividing Plane Geometric Figures Measurement Angles Geometry Angles and Triangles Geometry Plane Figures, Combining and Subdividing Measurement Circles 5 Unit 7-Data & Statistics Probability and Statistics Mean, Median, Mode, and Range 3 Assessment, Review, and Intervention LCPS GRADE 5 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, Graphs 11 Unit 7-Data & Statistics Probability and Statistics Mean, Median, Mode, and Range (continued) Probability and Statistics Stem and Leaf Plot, Line Graphs 28 Assessment, Review, and Intervention SOL Tests LCPS MATH Unit Summary GRADE 5 2016-2017 Unit: 1 Quarters 1-4 Classroom Routines VDOE Standards of Learning: 1st quarter: The First 20 Days Classroom Routines The student will create and solve single-step and multistep practical problem involving addition, subtraction, multiplication, and division with and without remainders of whole numbers.

10 The student will determine the amount of elapsed time in hours and minutes within a 24-hour period. VDOE Process Goals: Problem Solving, Communication, Connections, Reasoning, Representations Learning Targets: I can create, estimate, and solve addition, subtraction, multiplication, and division problems that have two or more steps involved in order to find the answer. I can determine the elapsed time between two events within a 24-hour period. 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. Whole number operations in the context of practical problems (integrated in a variety of mathematical topics throughout the year).