Objective Resources Assessment Standards Unit Concept Timeline

Similar documents
Page 1 of 11. Curriculum Map: Grade 4 Math Course: Math 4 Sub-topic: General. Grade(s): None specified

Dublin City Schools Mathematics Graded Course of Study GRADE 4

Math-U-See Correlation with the Common Core State Standards for Mathematical Content for Third Grade

Montana Content Standards for Mathematics Grade 3. Montana Content Standards for Mathematical Practices and Mathematics Content Adopted November 2011

Extending Place Value with Whole Numbers to 1,000,000

This scope and sequence assumes 160 days for instruction, divided among 15 units.

Fourth Grade. Reporting Student Progress. Libertyville School District 70. Fourth Grade

Grade 6: Correlated to AGS Basic Math Skills

Pre-Algebra A. Syllabus. Course Overview. Course Goals. General Skills. Credit Value

Alignment of Australian Curriculum Year Levels to the Scope and Sequence of Math-U-See Program

TOPICS LEARNING OUTCOMES ACTIVITES ASSESSMENT Numbers and the number system

Numeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C

AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS

About the Mathematics in This Unit

Common Core Standards Alignment Chart Grade 5

South Carolina College- and Career-Ready Standards for Mathematics. Standards Unpacking Documents Grade 5

Multiplication of 2 and 3 digit numbers Multiply and SHOW WORK. EXAMPLE. Now try these on your own! Remember to show all work neatly!

Missouri Mathematics Grade-Level Expectations

Grade 5 + DIGITAL. EL Strategies. DOK 1-4 RTI Tiers 1-3. Flexible Supplemental K-8 ELA & Math Online & Print

The New York City Department of Education. Grade 5 Mathematics Benchmark Assessment. Teacher Guide Spring 2013

What the National Curriculum requires in reading at Y5 and Y6

Mathematics subject curriculum

LLD MATH. Student Eligibility: Grades 6-8. Credit Value: Date Approved: 8/24/15

Math Grade 3 Assessment Anchors and Eligible Content

Focus of the Unit: Much of this unit focuses on extending previous skills of multiplication and division to multi-digit whole numbers.

Unit 3: Lesson 1 Decimals as Equal Divisions

IMPLEMENTING THE NEW MATH SOL S IN THE LIBRARY MEDIA CENTER. Adrian Stevens November 2011 VEMA Conference, Richmond, VA

Table of Contents. Development of K-12 Louisiana Connectors in Mathematics and ELA

PRIMARY ASSESSMENT GRIDS FOR STAFFORDSHIRE MATHEMATICS GRIDS. Inspiring Futures

First Grade Standards

Primary National Curriculum Alignment for Wales

Are You Ready? Simplify Fractions

FractionWorks Correlation to Georgia Performance Standards

Arizona s College and Career Ready Standards Mathematics

Grade 5 COMMON CORE STANDARDS

After your registration is complete and your proctor has been approved, you may take the Credit by Examination for MATH 6A.

TabletClass Math Geometry Course Guidebook

Standard 1: Number and Computation

QUICK START GUIDE. your kit BOXES 1 & 2 BRIDGES. Teachers Guides

May To print or download your own copies of this document visit Name Date Eurovision Numeracy Assignment

Classroom Connections Examining the Intersection of the Standards for Mathematical Content and the Standards for Mathematical Practice

Measurement. When Smaller Is Better. Activity:

Sample Problems for MATH 5001, University of Georgia

Characteristics of Functions

GRADE 5 MATHEMATICS Pre Assessment Directions, Answer Key, and Scoring Rubrics

Using Proportions to Solve Percentage Problems I

Paper 2. Mathematics test. Calculator allowed. First name. Last name. School KEY STAGE TIER

Exemplar 6 th Grade Math Unit: Prime Factorization, Greatest Common Factor, and Least Common Multiple

Algebra 1 Summer Packet

Florida Mathematics Standards for Geometry Honors (CPalms # )

Answers: Year 4 Textbook 3 Pages 4 10

Answer Key For The California Mathematics Standards Grade 1

Helping Your Children Learn in the Middle School Years MATH

Objective: Add decimals using place value strategies, and relate those strategies to a written method.

Algebra 1, Quarter 3, Unit 3.1. Line of Best Fit. Overview

Pretest Integers and Expressions

Paper Reference. Edexcel GCSE Mathematics (Linear) 1380 Paper 1 (Non-Calculator) Foundation Tier. Monday 6 June 2011 Afternoon Time: 1 hour 30 minutes

EDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES. Maths Level 2. Chapter 4. Working with measures

Ohio s Learning Standards-Clear Learning Targets

Pre-AP Geometry Course Syllabus Page 1

A 1,200 B 1,300 C 1,500 D 1,700

Rendezvous with Comet Halley Next Generation of Science Standards

Conversions among Fractions, Decimals, and Percents

Problem of the Month: Movin n Groovin

Broward County Public Schools G rade 6 FSA Warm-Ups

Mathematics process categories

Let s think about how to multiply and divide fractions by fractions!

The following shows how place value and money are related. ones tenths hundredths thousandths

Bittinger, M. L., Ellenbogen, D. J., & Johnson, B. L. (2012). Prealgebra (6th ed.). Boston, MA: Addison-Wesley.

UNIT ONE Tools of Algebra

South Carolina English Language Arts

MGSE: MGSE4.MD.1; MGSE4.MD.2; MGSE4.MD.3; MGSE4.MD.8; MGSE4.MD.4; MGSE4.MD.5; MGSE4.MD.6; MGSE4.MD.7

2 nd Grade Math Curriculum Map

ASSESSMENT TASK OVERVIEW & PURPOSE:

Backwards Numbers: A Study of Place Value. Catherine Perez

Diagnostic Test. Middle School Mathematics

LA LETTRE DE LA DIRECTRICE

KeyTrain Level 7. For. Level 7. Published by SAI Interactive, Inc., 340 Frazier Avenue, Chattanooga, TN

Chapter 4 - Fractions

BENCHMARK MA.8.A.6.1. Reporting Category

MODULE FRAMEWORK AND ASSESSMENT SHEET

Grade Five Chapter 6 Add and Subtract Fractions with Unlike Denominators Overview & Support Standards:

Remainder Rules. 3. Ask students: How many carnations can you order and what size bunches do you make to take five carnations home?

Introducing the New Iowa Assessments Mathematics Levels 12 14

Mathematics Success Level E

Unit 3 Ratios and Rates Math 6

Hardhatting in a Geo-World

RIGHTSTART MATHEMATICS

Math 121 Fundamentals of Mathematics I

Probability and Statistics Curriculum Pacing Guide

Math 96: Intermediate Algebra in Context

Sample Performance Assessment

AP Chemistry

Functional Maths Skills Check E3/L x

Assessment Requirements: November 2017 Grade 5

GCSE Mathematics B (Linear) Mark Scheme for November Component J567/04: Mathematics Paper 4 (Higher) General Certificate of Secondary Education

Activity 2 Multiplying Fractions Math 33. Is it important to have common denominators when we multiply fraction? Why or why not?

TABE 9&10. Revised 8/2013- with reference to College and Career Readiness Standards

Talk About It. More Ideas. Formative Assessment. Have students try the following problem.

Draft -Unit 1. Whole Number Computation and Application 8 Weeks. 1 Joliet Public Schools District 86 DRAFT Curriculum Guide , Grade 5, Unit 1

Transcription:

Our Community Members are Active Christians Life Long Learners Effective Communicators Responsible Citizens Self Aware Individuals Tricia Sztan Unit 1: Numeration Total Time (with summative assessment): 9 days Performance Assessment: SWBAT analyze the data from the land area in ten different countries, and write the populations in different word forms, and combine them using basic operations. Lesson Topic/ y? 1. Thousands 2. Millions Students will represent numbers with place value blocks and number lines. They will write numbers in standard form, expanded form, and word form. Students will represent numbers in millions using a place value chart. They will write numbers in expanded form, using periods to help write numbers in word form. (student and 4. Interactive Center Summative Assessment: Chapter test 4.NBT.2 Read and write multi digit whole numbers using base ten numerals, number names and expanded form. Compare two multi digit numbers based on meanings of the digits in each place using >, = and < symbols to record the results of comparisons. 2 Place Value (See above) (See above) 4.NBT.2 2 Place value

3. Comparing and Ordering Whole Numbers Students will apply their knowledge of place value to compare and order numbers. Tricia Sztan (See above) (See above) 4.NBT.2 2 Place Value 4. Rounding Whole Numbers Students will show how to use place value to round whole numbers. (See above) (See above) 4.NBT.3 Use place value understanding to round multi digit whole numbers to any place. 2 Place Value 5. Using Money to Understand 6. Counting Money and Making Change Students will use place value charts to read, write and compare decimals in tenths and hundredths using money. Students will convert a collection of coins and bills into a total amount and make change. (See above) (See above) Prepares for 4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volume, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. 2 Place Value (See above) (See above) Prepares for 4.MD.2 2 Place Value

7. Problem Solving: Make an Organized List Students will systematically find and record all possible outcomes for a situation. Tricia Sztan (See above) (See above) 4.OA.3 Solve multi step word problems posed with whole numbers and having whole number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. 2 Place Value Unit 2: Adding and Subtracting Whole Numbers Total Time (with summative assessment): 9 days Performance Assessment: SWBAT analyze data and plan a route for campers using a map and van information. Lesson Topic/ y? 1. Using Mental Math to Add and Subtract Students will apply a variety of methods to add and subtract whole numbers mentally. (student and 4.OA.3 1 Addition and Subtraction Summative Assessment:

2. Estimating Sums and Differences of Whole Numbers Students will round whole numbers to estimate sums and differences. 4. Interactive Center Chapter test (See above) (See above) 4.NBT.3; 4.OA.3 1 Addition and Subtraction 3. Problem Solving: Missing or Extra Information Students will identify what information in a problem is not needed or not present. (See above) (See above) 4.OA.3 1 Addition and Subtraction 4. Adding Whole Numbers Students will add numbers to hundred thousands with and without regrouping (See above) (See above) 4.NBT.4 Fluently add and subtract multi digit whole numbers using the standard algorithm. 1 Addition and Subtraction 5. Subtracting Whole Numbers Students will subtract numbers to thousands with and without regrouping. (See above) (See above) 4.NBT.4 1 Addition and Subtraction 6. Subtracting Across Zeros Students will subtract numbers with zeros to thousands. (See above) (See above) 4.NBT.4 1 Addition and Subtraction

7. Problem Solving: Draw a Picture and Write an Equation Students will use a picture or diagram to translate an everyday situation into a number sentence or equation (See above) (See above) 4.NBT.4 1 Addition and Subtraction Unit 3: Multiplication Meanings and Facts Total Time (with summative assessment): 9 days Performance Assessment: SWBAT examine data about different rock collections and answer questions pertaining to the data. Lesson Topic/ y? 1. Meanings of Multiplication 2. Patterns for Facts Students will recognize multiplication as repeated addition of equal groups used in arrays and comparisons. Students will use patterns to find products with factors of 2, 5 and 9. (student and 4.OA.1 Interpret a multiplication equation as a comparison. 4.OA.2 Multiply or divide to solve word problems involving multiplicative comparison. 4. Interactive Center Summative Assessment: Chapter test (See above) (See above) 4.OA.4 Find all factor pairs for a whole number in the range 1 100. Recognize that a whole number is a multiple of each of its factors. Determine whether 3 Multiplication 3 Multiplication

3. Multiplication Properties Students will use multiplication properties to simplify calculations. a given whole number in the range 1 100 is a multiple of a given one digit number. Determine whether a given whole number in the range 1 100 is a prime or composite. (See above) (See above) 4.OA.1 3 Multiplication 4. 3 and 4 as Factors 5. 6, 7 and 8 as Factors 6. 10, 11 and 12 as Factors Students will use the Distributive Property to simplify multiplication problems by rewriting one of the factors as a sum of two numbers. Students will use the Distributive Property and other regrouping properties to simplify multiplication involving 6s, 7s and 8s by rewriting on of the factors Students will use patterns as aids to mastery of facts and multiples of 10, 11 and 12. (See above) (See above) 4.OA.4 3 Multiplication (See above) (See above) 4.OA.4 3 Multiplication (See above) (See above) 4.OA.4 3 Multiplication 7. Problem Solving: Draw a Picture and Write an Equation Students will draw pictures to problem solve multiplication situations and use their pictures to write number sentences. (See above) (See above) 4.OA.1 4.OA.2 Multiply or divide to solve word problems involving multiplicative comparison. 3 Multiplication

Unit 4: Division Meanings and Facts Total Time (including summative assessment): 7 days Performance Assessment: SWBAT examine data given about boxes of materials, and create their own table, using multiplication to decide how many students will be in each group. Lesson Topic/ y? 1. Meanings of Division Students will use and draw models to solve division problems. (student and 4. Interactive Center Summative Assessment: Chapter test 4.NBT.6 Find whole number quotients and reminders with up to four digit dividends and one digit divisors, using strategies based on place value, the properties of operations, and/or relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays and/or area models 3 Multiplication 2. Relating Multiplication Students will use arrays to write and complete multiplication and division fact families. (See above) (See above) 4.NBT.6 3 Multiplication 3. Special Quotients Students will use multiplication facts with 0 and 1 to learn about (See above) (See above) 4.NBT.6 3 Multiplication

special division rules with 1 and 0. 4. Using Multiplication Facts to Find Division Facts Students will identify multiplication facts related to division facts in order to solve division problems. (See above) (See above) 4.OA.2 3 Multiplication 5. Problem Solving: Draw a Picture and Write an Equation Students will draw pictures and write related number sentences to solve problems. (See above) (See above) 4.OA.4 3 Multiplication Unit 5: Multiplying by 1 Digit Numbers Total Time (including summative assessment): 10 days Performance Assessment: SWBAT compare data about bike tires, and use estimation to decipher which store has the best value of tires. Lesson Topic/ y? 1. Multiplying by Multiples of 10 and 100 Students will use basic multiplication facts and number patterns to multiply by multiples of 10 and 100. (student and 4.NBT.5 Multiply a whole number of up to four digits by a one digit whole number, and multiply two two digit numbers, using 3 Multiplication

2. Using Mental Math to Multiply 3. Using Rounding to Estimate Students will use compatible numbers with adjustment, breaking apart, and other strategies to multiply numbers mentally. Students will use compatible numbers and rounding to estimate solutions to multiplication problems. 4. Interactive Center strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular Summative Assessment: Chapter test arrays, and/or area. (See above) (See above) 4.NBT.5 4.NBT.3 4.OA.3 (See above) (See above) 4.NBT.5 4.NBT.3 3 Multiplication 3 Multiplication 4. Problem Solving: Reasonableness Check Students will check for reasonableness by making sure their calculations answer the questions asked and by suing estimation to make sure the calculation was performed correctly. (See above) (See above) 4.OA.3 4.NBT.5 4.NBT.3 3 Multiplication

5. Using an Expanded Algorithm Students will record multiplication using an expanded algorithm. (See above) (See above) 4.NBT.5 3 Multiplication 6. Multiply 2 Digit by 1 Digit Numbers Students will multiply 2 digit numbers by 1 digit numbers using paper and pencil methods. (See above) (See above) 4.NBT.5 3 Multiplication 7. Multiplying 3 Digit by 1 Digit Numbers Students will use the standard algorithm to multiply 3 digit by 1 digit numbers. (See above) (See above) 4.NBT.5 3 Multiplication 8. Problem Solving: Draw a Picture and Write and Equation Students will solve problems using the problem solving strategy Draw a Picture and Write an Equation. (See above) (See above) 4.OA.1 4.OA.2 4.NBT.5 3 Multiplication Unit 6: Patterns and Expressions Total Time (including summative assessment): 6 days Performance Assessment: SWBAT complete tables using number patterns and multiplication. Lesson Topic/ y?

1. Variables and Expressions Students will understand how to work with variables in a table (student and 4.OA.3 1 Addition and Subtraction 3 Multiplication 2. Addition and Subtraction Expressions 3. Multiplication Expressions 4. Problem Solving: Use Objects and Reasoning Students will study completed tables to determine a rule and write an expression Students will study completed tables to determine a rule and write an expression. Students will solve problems by using objects to show the action. 4. Interactive Center Summative Assessment: Chapter test (See above) (See above) 4.OA.5 1 Addition and Generate a number or shape Subtraction pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. (See above) (See above) 4.OA.5 3 Multiplication (See above) (See above) 4.OA.3 1 Addition and Subtraction 3 Multiplication Unit 7: Multiplying by 2 Digit Numbers Total Time (including summative assessment): 9 days

Performance Assessment: SWBAT multiply costs of different textbooks (all two digit numbers) in order to find the cost of books for the entire class. Lesson Topic/ y? 1. Using Mental Math to Multiply 2 Digit Numbers 2.Estimating Products 3. Arrays and an Expanded Algorithm 4. Multiplying 2 Digit Numbers by Multiples of Ten Students will discover and understand patterns used to multiply by 10 and 100. They use these patterns to solve problems involving multiples of 10 and 100. Students will use rounding and compatible numbers to estimate solutions to multiplication problems. Students will use arrays and expanded algorithms to multiply two digit numbers by two digit numbers to find the product. Students will use grids and patterns to multiply 2 digit numbers and multiples of 10. (student and 4.NBT.5 3 Multiplication 4. Interactive Center Summative Assessment: Chapter test (See above) (See above) 4.OA.3 3 Multiplication (See above) (See above) 4.NBT.5 3 Multiplication (See above) (See above) 4.NBT.5 3 Multiplication 5. Multiplying 2 Digt by 2 Digit Numbers Students will use partial products to multiply two digit numbers by two digit numbers and find the products. (See above) (See above) 4.NBT.5 3 Multiplication

6. Special Cases Students will learn to multiply greater numbers. (See above) (See above) 4.NBT.5 3 Multiplication 7. Problem Solving: Two Question Problems Students will solve two question problems. (See above) (See above) 4.OA.3 3 Multiplication Unit 8: Dividing By 1 Digit Divisors Total time (including summative assessment): 12 days Performance Assessment: SWBAT analyze data and figure out how to display student work in a hallway using equal groups and division. Lesson Topic/ y? 1. Using Mental Math to Divide Check Students will use basic facts and patterns of zeros to solve division problems with 3 digit dividends and 1 digit divisors. (student and 4. Interactive Center Summative Assessment: Chapter test 4.NBT.6 Find whole number quotients and remainders with up to four digit dividends and one digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 3 Multiplication

2. Estimating Quotients Check Students will use compatible numbers and rounding to estimate quotients. (See above) (See above) 4.OA.3 3 Multiplication 3. Dividing with Remainders 4. Connecting Models and Symbols Students will divide whole numbers by 1 digit divisors resulting in quotients with remainders. Students will use place value to understand the algorithm of long division. (See above) (See above) 4.OA.3 4.NBT.6 3 Multiplication (See above) (See above) 4.NBT.6 3 Multiplication Check 5. Dividing 2 Digit by 1 Digit Numbers Students will use the standard algorithm to divide two digit numbers by a one digit number. (See above) (See above) 4.NBT.6 3 Multiplication 6. Dividing 3 Digit by 1 Digit Numbers. Students will use the standard algorithm to divide 3 digit numbers by 1 digit numbers. (See above) (See above) 4.NBT.6 3 Multiplication 7. Dividing Where to Start Dividing 8. Factors 9. Prime and Composite Numbers Students will use the standard algorithm to divide 3 digit numbers by 1 digit numbers and properly decide where to begin dividing. Students will learn how to factor whole numbers. Students will learn to identify prime and composite numbers. (See above) (See above) 4.NBT.6 3 Multiplication (See above) (See above) 4.OA.4 3 Multiplication (See above) (See above) 4.OA.4 3 Multiplication

10. Problem Solving: Multiple Step Problems Students will identify the hidden question in a multistep problem. They use the answer to that hidden question to solve the original problem. (See above) (See above) 4.OA.3 3 Multiplication Unit 9: Lines, Angles, and Shapes Total Time (including summative assessment): 9 days Performance Assessment: SWBAT classify geometric data based on shapes given for an art project. Lesson Topic/ y? 1. Points, Lines and Plane Students will identify and describe points, lines and planes. (student and 4.G.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two dimensional figures. 5 Geometry 2. Line Segments, Rays, and Angles Students will learn geometric terms to describe parts of lines and types of angles. 4. Interactive Center Summative Assessment: Chapter test (See above) (See above) 4.G.1 4.MD.5 Recognize angles as geometric shapes tat are formed wherever two rays share a common 5 Geometry

3. Measuring Angles 4. Polygons 5. Triangles 6. Quadrilaterals Students will be able to measure and draw angles. Students will learn to identify polygons. Students will learn to identify and classify triangles. Students will learn to identify quadrilaterals. (See above) (See above) 4.MD.5 Tricia Sztan endpoint, and understand concepts of angle measurement: a. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a one degree angle, and can be used to measure angles. b. An angle that turns through n one degree angles is said to have an angle measure of n degrees. 5 Geometry 4.MD.6 Measure angles in whole number degrees using a protractor. Sketch angles of specified measure. (See above) (See above) 4.G.2 5 Geometry Classify two dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. (See above) (See above) 4.G.2 5 Geometry (See above) (See above) 4.G.2 5 Geometry

7. Problem Solving: Make Test Generalizations Students will solve problems by making and testing generalizations. (See above) (See above) 4.G.2 4.OA.5 5 Geometry Unit 10: Understanding Fractions Total time (including summative assessment): 1s Performance Assessment: SWBAT use their knowledge of fractions in order to compare information about a class garden. Lesson Topic/ y? 1. Regions and Sets Check Students will identify and draw fractional parts of a region and a set, and divide sets to show fractional parts. (student and Reviews 3.NF.1 6 Fractions and 2. Fractions and Division Students will describe and compare fractional parts of whole objects and sets. 4. Interactive Center Summative Assessment: Chapter test (See above) (See above) Prepares for 5.NF.3 6 Fractions and

3. Estimating Fractional Amounts 4. Equivalent Fractions 5. Fractions in Simplest Form 6. Improper Fractions and Mixed Numbers Students will estimate fractional parts of regions and sets. They will estimate fractions for points on the number line. Students will use models and objects to show equivalent fractions. Students will express equivalent fractions in simplest form. Students will identify and write mixed numbers as improper fractions and improper fractions as mixed numbers. (See above) (See above) Extends 4.NF.2 Compare two fractions with different numerators and different denominators. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, = or <, and justify the conclusions. (See above) (See above) 4.NF.1 Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. 6 Fractions and 6 Fractions and (See above) (See above) 4.NF.1 6 Fractions and (See above) (See above) 4.NF.3b Decompose a fraction into a sum of fractions with the same denominator in more that one way, recording each decomposition by an equation. Justify decompositions using a visual. 3 Fractions and

7. Comparing Fractions Students will use benchmark fractions to compare fractions with unlike denominators. (See above) (See above) 4.NF.2 6 Fractions and 8. Ordering Fractions Students will use common denominators and equivalent fractions to order fractions with unlike denominators. (See above) (See above) 4.NF.2 6 Fractions and 9. Problem Solving: Writing to Explain Students will write to explain whether an answer is correct or not. (See above) (See above) 4.NF.2 4.NF.1 6 Fractions and Unit 11: Adding and Subtracting Fractions Total time (including summative assessment): 6 days Performance Assessment: SWBAT add and subtract fractions in order to analyze data about baking bread. Lesson Topic/ y?

1. Adding and Subtracting Fractions with Like Denominators Students will add and subtract fractions with like denominators using models and paper and pencil. (student and 4. Interactive Center Summative Assessment: Chapter test 4.NF.3 Understand a fraction a/b with a>1 as a sum of fractions 1/b 4.NF.3.a Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. 4.NF.3.d Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators. 7 Operations with Fractions 2. Adding Fractions with Unlike Denominators Students will add fractions with unlike denominators using models and paper and pencil. (See above) (See above) Previews 5.NF.1 7 Operations with Fractions 3. Subtracting Fractions with Unlike Denominators Students will understand how to subtract fractions with unlike denominators. (See above) (See above) Previews 5.NF.1 7 Operations with Fractions 4. Problem Solving: Draw a Picture and Write an Equation Students will draw a picture and write an equation to solve a problem. (See above) (See above) 4.NF.3 4.NF.3.c Add and subtract mixed numbers with like denominators. 4.MD.2 Use the four operations to solve word problems involving distances, intervals 7 Operations with Fractions

of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurement given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. Unit 12: Understanding Total time (including summative assessment): 8 days Performance Assessment: SWBAT examine data about making a clay coaster, and use their knowledge of decimals and fractions in order to figure out its compositions. Lesson Topic/ y? 1. Decimal Place Value Students will use models and place value charts to represent decimals to hundredths. They will read and write decimals in (student and Prepares for 4.NF.7 6 Fractions and

2. Comparing and Ordering 3. Fractions and expanded, standard and word form. Students will use models and place value charts to compare decimals to hundredths. They use greater than and less than symbols to order decimal numbers. Students will understand how to write fractions as decimals and decimals as fractions. 4. Interactive Center Summative Assessment: Chapter test (See above) (See above) 4.NF.7 Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, = or <, and justify the conclusions. (See above) (See above) 4.NF.5 Express a fraction with a denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. 6 Fractions and 6 Fractions and 4. Fractions and on the Number line Students will learn to locate and name fractions and decimals on a number line. 4.NF.6 Use decimal notation for fractions with denominators 10 or 100. (See above) (See above) 4.NF.5 4.NF.6 6 Fractions and 5. Mixed Numbers and on the Number Line Students will understand how to graph decimals and mixed numbers on the number line. (See above) (See above) Extends 4.NF.5 4.NF.6 6 Fractions and

6. Problem Solving: Draw a Picture Students will solve problems using the strategy Draw a Picture. (See above) (See above) 4.MD.2 3 Multiplication Unit 13: Operations with Total time (including summative assessment): 9 days Performance Assessment: SWBAT add decimals in order to interpret data about combining paint colors to create new colors. Lesson Topic/ y? 1. Rounding Students will round two place decimals numbers to one place or the nearest whole number. (student and Previews 5.NBT.4 6 Fractions and 2. Estimating Sums and Differences of Students will round decimal numbers to estimate sums and differences. 4. Interactive Center Summative Assessment: Chapter test (See above) (See above) Previews 5.NBT.7 6 Fractions and

3. Modeling Addition and Subtraction of Students will add and subtract decimals in tenths and hundredths using models. (See above) (See above) Prepares for 5.NBT.7 6 Fractions and 4. Adding and Subtracting 5. Multiplying a Whole Number by a Decimal Students will estimate and compute the sum or difference of whole numbers and positive decimals to two places. Students will multiply a decimal number by a whole number. (See above) (See above) Prepares for 5.NBT.7 6 Fractions and (See above) (See above) Prepares for 5.NBT.7 6 Fractions and 6. Dividing a Decimal by a Whole Number Students will divide a decimal number by a whole number. (See above) (See above) Prepares for 5.NBT.7 6 Fractions and 7. Problem Solving: Try, Check and Revise Students will try a solution, check the solution, and, if not correct, revise the solution, following the same method until the correct solution is determined via checking. (See above) (See above) 4.MD.2 6 Fractions and Unit 14: Area and Perimeter

Total time (including summative assessment): 1s Tricia Sztan Performance Assessment: SWBAT create a quilt using their knowledge of area and perimeter. Lesson Topic/ y? 1. Understanding Area Students will measure the area of a figure by counting the number of square units that cover a region. (student and Reviews 3.MD.5 4 Measurement 2. Area of Squares and Rectangles 3. Area of Irregular Shapes 4. Area of Parallelograms 5. Area of Triangles Students will find the area of rectangles by counting square units or by using a formula. Students will find the area of irregular shapes. Students will use the formula for the area of a rectangle in order to find a formula for the area of a parallelogram. Students will use the relationship between triangles and parallelograms to fund the area of triangles. 4. Interactive Center Summative Assessment: Chapter test (See above) (See above) 4.MD.3 4 Measurement Apply the area and perimeter formulas for rectangles in real world and mathematical problems. (See above) (See above) Extends 4.MD.3 4 Measurement (See above) (See above) Extends 4.MD.3 4 Measurement (See above) (See above) Extends 4.MD.3 4 Measurement

6. Perimeter 7. Same Perimeter, Different Area 8. Same Area, Different Perimeter Tech 9. Problem Solving: Solve a Simpler Problem and Make a Table Students will find the perimeter of a polygon by adding the lengths of the sides or by using the formula. Students will compare different rectangles with the same perimeter to discover the change in area. Students will compare different rectangles with the same area to discover the change in perimeter. Students will break a problem into smaller, more manageable pieces and find a pattern to fit. Tricia Sztan (See above) (See above) 4.MD.3 4 Measurement (See above) (See above) Extends 4.MD.3 4 Measurement (See above) (See above) Extends 4.MD.3 4 Measurement (See above) (See above) 4.OA.5 4 Measurement Unit 16: Measurement, Time, and Temperature Total time (including summative assessment): 14 days Performance Assessment: SWBAT use their knowledge of measurement, time and temperature to apply to scenarios of estimating capacity, elapsed time and mass. Lesson Topic/ y?

1. Using Customary Units of Length 2. Customary Units of Capacity 3. Units of Weight 4. Changing Customary Units 5. Using Metric Units of Length 6. Metric Units of Capacity Students will estimate and measure length by choosing the most appropriate unit of length. Students will estimate fluently with customary capacity units (cups, pints, quarts, and gallons). They will compare the relative sizes of capacity measurements. Students will estimate fluently and measure with units of weight. Students will be able to convert between customary units. Students will estimate and measure length to the nearest centimeter, and choose the most appropriate metric unit for measuring length. Students will estimate fluently with millimeters and liters. They will measure capacity using these metric units. (student and 4. Interactive Center Summative Assessment: Chapter test Tricia Sztan 4.MD.1 Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents. 4 Measurement (See above) (See above) 4.OA.3 4 Measurement (See above) (See above) 4.MD.1 4 Measurement (See above) (See above) 4.MD.1 4.MD.2 4 Measurement (See above) (See above) 4.MD.1 4 Measurement (See above) (See above) 4.MD.1 4 Measurement

7. Units of Mass 8. Changing Metric Units 9. Units of Time 10. Elapsed Time 11. Temperature 12. Problem Solving: Work Backward Check Students will estimate and measure with units of massgrams and kilograms. Students will be able to convert between metric units. Students will compare several different units of time and freely convert from one unit of time to another. Students will find the difference in time using a beginning and an end time. They will use elapsed time to find a beginning and an end time. Students will measure temperature in degrees Fahrenheit or degrees Celsius. Students will solve problems that require finding the original times, measurements or quantities that lead to a result that is given. Unit 17: Data and Graphs Tricia Sztan (See above) (See above) 4.MD.1 4 Measurement (See above) (See above) 4.MD.1 4.MD.2 (See above) (See above) 4.MD.1 4.MD.2 4 Measurement 4 Measurement (See above) (See above) Extends 4.MD.2 4 Measurement (See above) (See above) 4 Measurement (See above) (See above) 4.MD.2 4.OA.3 4 Measurement Total time (including summative assessment): 12 days Performance Assessment: SWBAT analyze data in a bar graph and create a table to represent the information.

Lesson Topic/ y? 1. Data from Surveys Check Tricia Sztan Students will design and use a survey with a sample size that allows accurate predictions to be made about a larger population (student and Prepares for 6.SP.1 2. Interpreting Graphs Check 3. Line Plots Check 4. Ordered Pairs Check 5. Line Graphs Check 6. Mean 7. Median, Mode and Range 8. Stem and Leaf Plots Students will use bar graphs to display data. Students will learn and understand how to draw line plots, interpret points and recognize outliers. Students will learn to locate points on a coordinate plane using ordered pairs. Students will use line graphs to see changes in data over time. Students will calculate the mean of a collection of values. Students will identify the mode, median, and range for numerical data sets. Students will use stem and leaf plots to organize data by place value. 4. Interactive Center Summative Assessment: Chapter test (See above) (See above) (See above) (See above) 4.MD.4 Make a line plot to display a data set of measurements in fractions of a unit. (See above) (See above) Prepares for 5.G.1 (See above) (See above) (See above) (See above) Prepares for 6.SP.3 (See above) (See above) Prepares for 6.SP.3 (See above) (See above) Prepares for 6.SP.4

Check 9. Reading Circle Graphs Check 10. Problem Solving: Make a Graph Check Students will use circle graphs to show parts of a whole. Students will make and use graphs to display data and solve problems. Tricia Sztan (See above) (See above) (See above) (See above) ***Units 15, 18,19 and 20 will be included if time permits in the school year. None of the standards are covered in these chapters that have not already been learned in previous units.***