Chapter 10 IDEA Share Developing Fraction Concepts. Jana Kienzle EDU 307 Math Methods

Size: px
Start display at page:

Download "Chapter 10 IDEA Share Developing Fraction Concepts. Jana Kienzle EDU 307 Math Methods"

Transcription

1 Chapter 10 IDEA Share Developing Fraction Concepts Jana Kienzle EDU 307 Math Methods

2 3 rd Grade Standards Cluster: Develop understanding of fractions as numbers. Code Standards Annotation 3.NF.1 Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b. Example: ¼ is the quantity formed by 1 part when a whole is partitioned into 4 equal parts. A fraction ¾ is the quantity formed by 3 parts of size ¼. (ND) 3.NF.2 Understand a fraction as a number on the number line; represent fractions on a number line diagram. a. Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line. Example: A whole is partitioned into 4 equal parts. Recognize that each part is equal to ¼. (ND) NF.3 b. Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. a. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line. Example: Students will be able to draw a number line from 0 to 1 using intervals representing the denominators 2, 3, 4, 6, 8. Students will be able to label the number line with coordinating fractions (see number line above). (ND) Example (ND): Are 2 4 and 1 2 equivalent fractions? 0 1/4 2/4 3/4 1 b. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model. c. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram. d. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. 0 1/2 1 Example (ND): When numerators are the same, the fraction with the larger denominator is smaller

3 4 th Grade Standards Cluster: Extend understanding of fraction equivalence and ordering. Code Standards Annotation 4.NF.1 Explain why a fraction a/b is equivalent to a fraction (n a)/(n 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. Example (ND): 1 4 = 3 12 because 1 3 = = 12 4.NF.2 Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. 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, e.g., by using a visual fraction model. Example: Compare 6/14 to 8/12 using <,>,=, and justify your conclusion. (ND) Solution: 6/14 < 8/12 because the numerator of the first fraction is less than ½ of the denominator thus the fraction is less than ½; in the second fraction the numerator is greater than ½ of the denominator thus the fraction is greater than ½. Cluster: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. Code Standards Annotation 4.NF.3 Understand a fraction a/b with a > 1 as a sum of fractions 1/b. a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. b. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = /8 = 8/8 + 8/8 + 1/8. c. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction. Example (ND): = d. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem = NF.4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. a. Understand a fraction a/b as a multiple of 1/b. For example use a visual fraction model to represent 5/4 as the product 5 (1/4), recording the conclusion by the equation 5/4 = 5 (1/4). b. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction

4 5 th Grade Math Standards Domain: Number and Operations - Fractions Cluster: Use equivalent fractions as a strategy to add and subtract fractions. Code Standards Annotation 5.NF.1 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/ /12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.) 5.NF 5.NF.2 Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 by observing that 3/7 < 1/2.

5 What are fractions? The fractions studied in elementary school are rational numbers that can be written as a/b where a and b are integers with b not equal to zero. Fractions are numbers representing objects that have been broken into parts. parts of a whole

6 Learning experiences should begin with helping children develop conceptual knowledge of fractions before moving to more formal work with symbols and computation. 4 Principles to Help Children Understand Fractions Children learn best through active involvement with a variety of concrete models. Most children need extended experiences with manipulative materials in order to develop mental images of fractions in order to reason and think conceptually about fractions. Children benefit from opportunities to talk about their fraction understandings with each other and with their teacher.

7 Understanding Sharing Situations Understanding fraction concepts builds on familiarity with situations involving sharing. Children use what they already understand to build their understandings of new concepts. Problem: 4 Children want to share 3 candy bars equally. How much can each child have? (How might a child solve this problem?)

8 Solutions: One way is to start by cutting the first 2 candy bars in half, which produces 1 piece (1/2 of a candy bar) for each child. Then the remaining candy bar is cut into 4 equal parts, creating 1 more piece (1/4 of a candy bar) for each child. So each child gets two pieces: 1 bigger piece (1/2) and 1 smaller piece (1/4). Another way to solve the problem is to start by cutting each candy bar into 4 equal pieces. Each child would get 1 piece from each candy bar, which is ¾ of a candy bar although.

9 Number Sense with Fractions Assessing Fraction Number Sense: teachers ask children to model fractions concretely, pictorially, and symbolically. Developing the Meaning of Half : half is one of two equal parts. Activities: 1. Sharing for two 2. Cutting in half 3. Partitioning a square in half

10 Different Interpretation of Fractions Part-Whole Interpretations: a region (an object to be shared or an area to be divided), a set of objects, or a unit of linear measure. Region Model Equality of parts Part-of-a-Set Model Measurement Model Area Model Other Interpretations of Fractions: ration, quotient, and multiplicative operator Ratio Interpretation of Fractions Quotient Interpretation of Fractions Operator Interpretation of Fractions

11 Fraction Names Fraction Symbolism: should be introduced only when children understand the meaning of the terms one-half, onethird, one-fourth, and so on, and when children can use fractions in problem situations involving regions and parts of a set and in measurement. Different Units: generally are represented by continuous quantities, such as regions, and discrete quantities, such as a set of distinct objects. Continuous but divisible (ex. a cake cut into squares to be shard among 3 siblings). A discrete set with divisible elements (ex. six cookies to be shared among four children). A discrete set with separate subsets (ex. 5 boxes of candy, 12 candies per box, to be shared among 4 people).

12 Developing Comparison and Ordering Fractions Comparing and Ordering Fractions Using a calculator to compare fractions Relative Size of Fractions Improper Fractions and Mixed Numbers

13 Understanding Equivalent Fractions Dealing with Equivalent Fractions Renaming and Simplifying Fractions

14 Literature and Internet Resources

15 Activity from Textbook (Page 213) Activity 10-1 Determining Whether Parts Are the Same Size Materials: Pairs of partitioned figures as shown Procedure: 1. A child is shown the partitioned figures in pairs as in the diagram. 2. Look at these two figures. Are parts (a) and (b) the same size? [or, Do parts (a) and (b) show the same amount?] Explain how you know.

16 Hershey s Fraction Book Activity Split children up into groups and have each group come up with some fractions using their chocolate bar. Have the groups of students draw their fractions with a brown crayon or marker on a sheet of paper.

17 Additional Activities Lego Fractions Colored Marshmallow Fractions Dominos Games Card Games Fraction War Compare Fractions Dice Games

Monrovia School District Grade Five Common Core Math Pacing

Monrovia School District Grade Five Common Core Math Pacing Trimester 2 retest (optional) November 27 Monrovia School District Grade Five ommon ore Math acing 2017-2018 Trimester 2 retest Exam Use the information as an additional pacing tool to guide instruction.

More information

Number and Operations Fractions

Number and Operations Fractions Number and Operations Fractions Standards Entry Points Access Skills 3 Page 59 Pages 60 61 Pages 60 62 4 Pages 63 64 Page 65 67 5 Pages 68 69 Page 70 72 MATHEMATICS 58 CONTENT AREA Mathematics DOMAIN Number

More information

I can use the four operations (+, -, x, ) to help me understand math.

I can use the four operations (+, -, x, ) to help me understand math. I Can Common Core! 4 th Grade Math I can use the four operations (+, -, x, ) to help me understand math. Page 1 I can understand that multiplication fact problems can be seen as comparisons of groups (e.g.,

More information

Content Area: Mathematics- 3 rd Grade

Content Area: Mathematics- 3 rd Grade Unit: Operations and Algebraic Thinking Topic: Multiplication and Division Strategies Multiplication is grouping objects into sets which is a repeated form of addition. What are the different meanings

More information

Diocese of Erie Mathematics Curriculum Third Grade August 2012

Diocese of Erie Mathematics Curriculum Third Grade August 2012 Operations and Algebraic Thinking 3.OA Represent and solve problems involving multiplication and division 1 1. Interpret products of whole numbers. Interpret 5x7 as the total number of objects in 5 groups

More information

Math News! Focus Area Topic A. 3 rd Grade Math O BJECTIVE OF TOPI C A. 4 Represent and identify fractional parts of different wholes.

Math News! Focus Area Topic A. 3 rd Grade Math O BJECTIVE OF TOPI C A. 4 Represent and identify fractional parts of different wholes. Math News Grade, Module, Topic A rd Grade Math 0 Common Core, Inc.) that is also posted as the Engage Module, Topic A. Topic A. Partition a Whole into Equal Parts Equal Parts Fractional Unit Unit Fraction

More information

Chapter 7 Math Guide

Chapter 7 Math Guide I can write fractions as a sum Write as unit fractions This means the fractions are broken into each individual unit/1 single piece. The fraction is /6. The model shows that pieces are shaded in. If you

More information

Grade 3 Math Unit 3 Number and Operations Fractions

Grade 3 Math Unit 3 Number and Operations Fractions Grade 3 Math Unit 3 Number and Operations Fractions UNIT OVERVIEW In Grade 3, math instruction should focus around 4 critical areas. This unit will address Critical Focus Area # 2, Developing understanding

More information

Math Number Operations Fractions

Math Number Operations Fractions Louisiana Student Standard 3.NF.A.1 Understand a fraction 1/b, with denominators 2, 3, 4, 6, and 8, as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction

More information

Standards for Mathematical Practice

Standards for Mathematical Practice Common Core State Standards Mathematics Student: Teacher: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively Standards for Mathematical Practice 3. Construct

More information

Third Grade Mathematics Scope and Sequence

Third Grade Mathematics Scope and Sequence Third Grade Mathematics Scope and Sequence Quarter 1 Domain Operations & Algebraic Thinking Numbers & Operation in Base Ten Standard 3.OA.1 Interpret products of whole numbers, e.g., interpret 5 x 7 as

More information

Singapore Math 4-U.S. Edition Class Description: Singapore math says that Singapore Primary Mathematics U.S. Edition "is a series of rigorous

Singapore Math 4-U.S. Edition Class Description: Singapore math says that Singapore Primary Mathematics U.S. Edition is a series of rigorous Singapore Math 4-U.S. Edition Class Description: Singapore math says that Singapore Primary Mathematics U.S. Edition "is a series of rigorous elementary math textbooks and workbooks meant to be part of

More information

Clarification of Standards for Parents Grade 3 Mathematics Unit 4

Clarification of Standards for Parents Grade 3 Mathematics Unit 4 Clarification of Standards for Parents Grade 3 Mathematics Unit 4 Dear Parents, We want to make sure that you have an understanding of the mathematics your child will be learning this year. Below you will

More information

4th Grade Emphasis Standards

4th Grade Emphasis Standards PARCC Emphasis Standards References Module(s) Tested (Max. 2) Module(s) Taught NOT Tested (No Max.) NUMBER AND OPERATIONS IN BASE TEN OA 4.OA.1 4.OA.1 (A) 4.OA.1 (B) 4.OA.2 4.OA.2 (A) 4.OA.2 (B) Use the

More information

Teaching and Learning Computation of Fractions Through Story Problems

Teaching and Learning Computation of Fractions Through Story Problems Teaching and Learning Computation of Fractions Through Story Problems Connie Conroy Heather Dexter Kelly Krownapple Howard County Public Schools Maryland + 0 - + 8 7 x 5 - 8 0 7 5 + + - - x 6 9 5 Fractions

More information

8/22/2013 3:30:59 PM Adapted from UbD Framework Priority Standards Supporting Standards Additional Standards Page 1

8/22/2013 3:30:59 PM Adapted from UbD Framework Priority Standards Supporting Standards Additional Standards Page 1 Approximate Time Frame: 6-8 weeks Connections to Previous Learning: Grade 2 students have partitioned circles and rectangles into two, three, or four equal shares. They have used fractional language such

More information

Second Quarter Benchmark Expectations for Units 3 and 4. Represent multiplication as equal groups with arrays.

Second Quarter Benchmark Expectations for Units 3 and 4. Represent multiplication as equal groups with arrays. Mastery Expectations For the Third Grade Curriculum In Third Grade, Everyday Mathematics focuses on procedures, concepts, and s in four critical areas: Understanding of division and strategies within 100.

More information

Formative type assessment (i.e. windshield check, dry erase boards, exit tickets, multiple choice, journals, checklists, etc.

Formative type assessment (i.e. windshield check, dry erase boards, exit tickets, multiple choice, journals, checklists, etc. Jones County School District Assessment Blueprint 2013-2014 Grade/Subject Level: 3rd Grade Math Team Members: A. Mobley, K. Husser, R. Sims, S. Clark, K. Knight, J. Hall Creating Summative / District Benchmark

More information

Patterns in Fractions

Patterns in Fractions Comparing Fractions using Creature Capture Patterns in Fractions Lesson time: 25-45 Minutes Lesson Overview Students will explore the nature of fractions through playing the game: Creature Capture. They

More information

3rd Grade Math Pacing Guide Unit 1 Board Approved: December 12, 2016

3rd Grade Math Pacing Guide Unit 1 Board Approved: December 12, 2016 Unit 1 Board Approved: December 12, 2016 # CCSS Unit 1: Represent and solve problems involving multiplication and division September/October 31 Days Go Math Chapters Covered: Completed Student Learning

More information

AIMS Common Core Math Standards Alignment

AIMS Common Core Math Standards Alignment AIMS Common Core Math Standards Alignment Third Grade Operations and Algebraic Thinking (3.OA) 1. Interpret products of whole numbers, e.g., interpret 5 7 as the total number of objects in 5 groups of

More information

Fractions Presentation Part 1

Fractions Presentation Part 1 New Jersey Center for Teaching and Learning Slide / Progressive Mathematics Initiative This material is made freely available at www.njctl.org and is intended for the non-commercial use of students and

More information

3rd Grade Math Unit 1 8/18. # of Days: 7. Assessment: Fluency with Addition & Subtraction 3.MD.A.1 MP 1, 2, 3, 4, 5, 6 3.MD.A.

3rd Grade Math Unit 1 8/18. # of Days: 7. Assessment: Fluency with Addition & Subtraction 3.MD.A.1 MP 1, 2, 3, 4, 5, 6 3.MD.A. Math Unit 1 # of Days: 7 8/18 Fluency with Addition & Subtraction. 3.MD.A.1 MP 1, 2, 3, 4, 5, 6 3.MD.A.2 MP 1, 2, 4, 5 3.NBT.A.2 3.OA.D.8 MP 1, 2, 3, 4, 5, 6 3.OA.D.9 MP 3, 6, 7, 8 3.MD.B.3 MP 2, 4 Tell

More information

Fractions & Decimals Student Clinical Interview

Fractions & Decimals Student Clinical Interview Fractions & Decimals Student Clinical Interview Fractions Learning Pathway Curricular Connection QUESTION/PROMPT/VISUAL Anticipated Response Notes Unit Fractions Unit A Use proportional reasoning to make

More information

GRADE 4. M : Solve division problems without remainders. M : Recall basic addition, subtraction, and multiplication facts.

GRADE 4. M : Solve division problems without remainders. M : Recall basic addition, subtraction, and multiplication facts. GRADE 4 Students will: Operations and Algebraic Thinking Use the four operations with whole numbers to solve problems. 1. Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 7 as

More information

Math Mammoth Grade 4. Class Description:

Math Mammoth Grade 4. Class Description: Math Mammoth Grade 4 Class Description: In the fourth grade, students focus on multi-digit multiplication and division, and a start to studying fractions and decimals, accompanied by studies in geometry

More information

Grade 5 Module 3 Addition and Subtraction of Fractions

Grade 5 Module 3 Addition and Subtraction of Fractions Grade 5 Module 3 Addition and Subtraction of Fractions OVERVIEW In Module 3, students understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals.

More information

Second Quarter Benchmark Expectations for Units 3 and 4

Second Quarter Benchmark Expectations for Units 3 and 4 Mastery Expectations For the Fourth Grade Curriculum In Fourth Grade, Everyday Mathematics focuses on procedures, concepts, and s in three critical areas: Understanding and fluency with multi-digit multiplication,

More information

The bottom number in the fraction is called the denominator. The top number is called the numerator.

The bottom number in the fraction is called the denominator. The top number is called the numerator. For Topics 8 and 9, the students should know: Fractions are a part of a whole. The bottom number in the fraction is called the denominator. The top number is called the numerator. Equivalent fractions

More information

Unit 5: Fractions Approximate Time Frame: 6-8 weeks Connections to Previous Learning: Focus of the Unit:

Unit 5: Fractions Approximate Time Frame: 6-8 weeks Connections to Previous Learning: Focus of the Unit: Approximate Time Frame: 6-8 weeks Connections to Previous Learning: Grade 2 students have partitioned circles and rectangles into two, three, or four equal shares. They have used fractional language such

More information

3.OA.A- Represent and solve problems involving multiplication and division

3.OA.A- Represent and solve problems involving multiplication and division MARYLAND COLLEGE AND CAREER READY STANDARDS-GRADE 3 OPERATIONS AND ALGEBRAIC THINKING 3.OA.A- Represent and solve problems involving multiplication and division 3.OA.A.1- Interpret products of whole numbers,

More information

GRADE 3 TEKS ALIGNMENT CHART

GRADE 3 TEKS ALIGNMENT CHART GRADE 3 TEKS ALIGNMENT CHART TEKS 3.2.A compose and decompose numbers up to,000 as the sum of so many ten thousands, so many thousands, so many hundreds, so many tens, and so many ones using objects, pictorial

More information

Rational Number Project

Rational Number Project Rational Number Project Initial Fraction Ideas Lesson : Overview Students use fraction circles to order fractions by comparing them to one-half. Materials Fraction Circles for students and teacher Student

More information

Understanding by Design (UbD) Lesson Plan Template

Understanding by Design (UbD) Lesson Plan Template Understanding by Design (UbD) Lesson Plan Template Classroom Teacher: Alison Elphick Grade (K-12) / Developmental Level:3 Date Lesson Will Be Taught: 4/30/14 Lesson Subject Area: Math Lesson Topic: Comparing

More information

Introduction to Fractions

Introduction to Fractions Introduction to Fractions A fraction is a quantity defined by a numerator and a denominator. For example, in the fraction ½, the numerator is 1 and the denominator is 2. The denominator designates how

More information

BREATHITT COUNTY SCHOOLS 3 rd Grade Math Curriculum Map Week Standard Key Vocabulary Learning Target Resources Assessment

BREATHITT COUNTY SCHOOLS 3 rd Grade Math Curriculum Map Week Standard Key Vocabulary Learning Target Resources Assessment Number Operations/Fractions/Algebraic Expressions Week 1 Week 2 3.NBT.1: Use place value understanding to round whole numbers to the nearest 10 or 100. 3.NBT.2: Fluently add and subtract within 1000 using

More information

Grade 4. COMMON CORE STATE STANDARDS FOR MATHEMATICS Correlations

Grade 4. COMMON CORE STATE STANDARDS FOR MATHEMATICS Correlations COMMON CORE STATE STANDARDS FOR MATHEMATICS Standards for Mathematical Practices CC.K 12.MP.1 Make sense of problems and persevere in solving them. In most Student Edition lessons. Some examples are: 50

More information

MATHEMATICS UTAH CORE GUIDES GRADE 2

MATHEMATICS UTAH CORE GUIDES GRADE 2 MATHEMATICS UTAH CORE GUIDES GRADE 2 UTAH STATE BOARD OF EDUCATION 250 EAST 500 SOUTH P.O. BOX 144200 SALT LAKE CITY, UTAH 84114-4200 SYDNEE DICKSON, Ed.D., STATE SUPERINTENDENT OF PUBLIC INSTRUCTION Operations

More information

Georgia Department of Education Teacher and Leader Keys Effectiveness Systems. Table of Specifications by Item Grade: Third (3)

Georgia Department of Education Teacher and Leader Keys Effectiveness Systems. Table of Specifications by Item Grade: Third (3) Table of Specifications by Item Subject: Mathematics/Grade 3 Assessme nt Title:. Ite m 3 rd Grade Math Pre/Post- Assessment Course Number: TOS Date: SLO Measure Development Complete during SLO Development

More information

Grade 4 Mathematics Indiana Academic Standards Crosswalk

Grade 4 Mathematics Indiana Academic Standards Crosswalk Grade 4 Mathematics Indiana Academic Standards Crosswalk 2014 2015 The Process Standards demonstrate the ways in which students should develop conceptual understanding of mathematical content and the ways

More information

4th Grade Mathematics Mathematics CC

4th Grade Mathematics Mathematics CC Course Description In Grade 4, instructional time should focus on five critical areas: (1) attaining fluency with multi-digit multiplication, and developing understanding of dividing to find quotients

More information

Adding Fractions with Different Denominators. Subtracting Fractions with Different Denominators

Adding Fractions with Different Denominators. Subtracting Fractions with Different Denominators Adding Fractions with Different Denominators How to Add Fractions with different denominators: Find the Least Common Denominator (LCD) of the fractions Rename the fractions to have the LCD Add the numerators

More information

Learning Log Title: CHAPTER 6: DIVIDING AND BUILDING EXPRESSIONS. Date: Lesson: Chapter 6: Dividing and Building Expressions

Learning Log Title: CHAPTER 6: DIVIDING AND BUILDING EXPRESSIONS. Date: Lesson: Chapter 6: Dividing and Building Expressions Chapter 6: Dividing and Building Epressions CHAPTER 6: DIVIDING AND BUILDING EXPRESSIONS Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: Chapter 6: Dividing and Building Epressions

More information

Fraction Race. Skills: Fractions to sixths (proper fractions) [Can be adapted for improper fractions]

Fraction Race. Skills: Fractions to sixths (proper fractions) [Can be adapted for improper fractions] Skills: Fractions to sixths (proper fractions) [Can be adapted for improper fractions] Materials: Dice (2 different colored dice, if possible) *It is important to provide students with fractional manipulatives

More information

7 Mathematics Curriculum

7 Mathematics Curriculum New York State Common Core 7 Mathematics Curriculum GRADE Table of Contents 1 Percent and Proportional Relationships GRADE 7 MODULE 4... 3 Topic A: Finding the Whole (7.RP.A.1, 7.RP.A.2c, 7.RP.A.3)...

More information

Grade 4. Number and Operations - Fractions 4.NF COMMON CORE STATE STANDARDS ALIGNED MODULES 2012 COMMON CORE STATE STANDARDS ALIGNED MODULES

Grade 4. Number and Operations - Fractions 4.NF COMMON CORE STATE STANDARDS ALIGNED MODULES 2012 COMMON CORE STATE STANDARDS ALIGNED MODULES THE NEWARK PUBLIC SCHOOLS THE OFFICE OF MATHEMATICS Grade 4 Number and Operations - Fractions 4.NF.1-2 2012 COMMON CORE STATE STANDARDS ALIGNED MODULES 2012 COMMON CORE STATE STANDARDS ALIGNED MODULES

More information

Lesson 1 6. Algebra: Variables and Expression. Students will be able to evaluate algebraic expressions.

Lesson 1 6. Algebra: Variables and Expression. Students will be able to evaluate algebraic expressions. Lesson 1 6 Algebra: Variables and Expression Students will be able to evaluate algebraic expressions. P1 Represent and analyze patterns, rules and functions with words, tables, graphs and simple variable

More information

(graphic)

(graphic) Welcome! As you are settling in, please do the following: Trace or draw your hand on a blank sheet of paper from your table Fill in the following information on your hand: Palm your name Thumb grade level(s)

More information

Grade: 3 Lesson Title: Equivalent Fractions

Grade: 3 Lesson Title: Equivalent Fractions Targeted Content Standard(s): Grade: 3 Lesson Title: Equivalent Fractions 3.NF.3 Explain equivalence of fractions in special cases and compare fractions by reasoning about their size. a. Understand two

More information

(Progressions for the CCSSM, Number and Operation Fractions, CCSS Writing Team, August 2011, page 3)

(Progressions for the CCSSM, Number and Operation Fractions, CCSS Writing Team, August 2011, page 3) o ¾ means that there are 3 one-fourths. o Students can count one fourth, two fourths, three fourths. Students express fractions as fair sharing or, parts of a whole. They use various contexts (candy bars,

More information

For more information on the Common Core State Standards, visit Beast Academy Grade 4 Chapters 1-12:

For more information on the Common Core State Standards, visit   Beast Academy Grade 4 Chapters 1-12: Beast Academy Scope and Sequence for Grade 4 (books 4A through 4D). The content covered in Beast Academy Grade 4 is loosely based on the standards created by the Common Core State Standards Initiative.

More information

CCSS Mathematics Standards Operations & Algebraic Thinking Third Grade Date Taught

CCSS Mathematics Standards Operations & Algebraic Thinking Third Grade Date Taught Operations & Algebraic Thinking Retaught Reviewed Represent and solve problems involving multiplication and division. Assessed CCSS.MATH.CONTENT.3.OA.A.1 Interpret products of whole numbers, e.g., interpret

More information

AIMS Common Core Math Standards Alignment

AIMS Common Core Math Standards Alignment AIMS Common Core Math Standards Alignment Third Grade Operations and Algebraic Thinking (.OA) 1. Interpret products of whole numbers, e.g., interpret 7 as the total number of objects in groups of 7 objects

More information

An ordered collection of counters in rows or columns, showing multiplication facts.

An ordered collection of counters in rows or columns, showing multiplication facts. Addend A number which is added to another number. Addition When a set of numbers are added together. E.g. 5 + 3 or 6 + 2 + 4 The answer is called the sum or the total and is shown by the equals sign (=)

More information

Fourth Grade Quarter 3 Unit 5: Fraction Equivalence, Ordering, and Operations Part 2, Topics D-H Approximately 25 days Begin around January 4 th

Fourth Grade Quarter 3 Unit 5: Fraction Equivalence, Ordering, and Operations Part 2, Topics D-H Approximately 25 days Begin around January 4 th HIGLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL ALIGNMENT Fourth Grade Quarter 3 Unit 5: Fraction Equivalence, Ordering, and Operations Part 2, Topics D-H Approximately 25 days Begin around January 4 th In

More information

Georgia Department of Education

Georgia Department of Education Fourth Grade 4.NOP.1 Multiplication and division; Find the factor pairs for a given whole number less than or equal to 100; recognize prime numbers as numbers greater than 1 with exactly one factor pair.

More information

GREATER CLARK COUNTY SCHOOLS PACING GUIDE. Grade 4 Mathematics GREATER CLARK COUNTY SCHOOLS

GREATER CLARK COUNTY SCHOOLS PACING GUIDE. Grade 4 Mathematics GREATER CLARK COUNTY SCHOOLS GREATER CLARK COUNTY SCHOOLS PACING GUIDE Grade 4 Mathematics 2014-2015 GREATER CLARK COUNTY SCHOOLS ANNUAL PACING GUIDE Learning Old Format New Format Q1LC1 4.NBT.1, 4.NBT.2, 4.NBT.3, (4.1.1, 4.1.2,

More information

G R AD E 4 UNIT 3: FRACTIONS - LESSONS 1-3

G R AD E 4 UNIT 3: FRACTIONS - LESSONS 1-3 G R AD E UNIT : FRACTIONS - LESSONS - KEY CONCEPT OVERVIEW In these lessons, students explore fraction equivalence. They show how fractions can be expressed as the sum of smaller fractions by using different

More information

NSCAS - Math Table of Specifications

NSCAS - Math Table of Specifications NSCAS - Math Table of Specifications MA 3. MA 3.. NUMBER: Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics

More information

UNIT 5 INTRODUCTION TO FRACTIONS

UNIT 5 INTRODUCTION TO FRACTIONS UNIT INTRODUCTION TO FRACTIONS INTRODUCTION In this Unit, we will investigate fractions and their multiple meanings. We have seen fractions before in the context of division. For example, we can think

More information

4 th Grade Mathematics Learning Targets By Unit

4 th Grade Mathematics Learning Targets By Unit INSTRUCTIONAL UNIT UNIT 1: WORKING WITH WHOLE NUMBERS UNIT 2: ESTIMATION AND NUMBER THEORY PSSA ELIGIBLE CONTENT M04.A-T.1.1.1 Demonstrate an understanding that in a multi-digit whole number (through 1,000,000),

More information

7 Days: August 17 August 27. Unit 1: Two-Dimensional Figures

7 Days: August 17 August 27. Unit 1: Two-Dimensional Figures 1 st Trimester Operations and Algebraic Thinking (OA) Geometry (G) OA.3.5 G.1.1 G.1.2 G.1.3 Generate and analyze patterns. Generate a number or shape pattern that follows a given rule. Identify apparent

More information

Curriculum Correlation Number Cluster 5: Composing and Decomposing

Curriculum Correlation Number Cluster 5: Composing and Decomposing Master 43a Cluster 5: Composing and Decomposing ON 15.8: explore different Canadian coins, using coin manipulatives (e.g., role-play the purchasing of items at the store in the dramatic play area; determine

More information

OPERATIONS AND ALGEBRAIC THINKING NUMBER AND OPERATIONS IN BASE TEN NUMBER AND OPERATIONS: FRACTIONS

OPERATIONS AND ALGEBRAIC THINKING NUMBER AND OPERATIONS IN BASE TEN NUMBER AND OPERATIONS: FRACTIONS OPERATIONS AND ALGEBRAIC THINKING 003-249 REPRESENT AND SOLVE PROBLEMS INVOLVING MULTIPLICATION AND DIVISON UNDERSTAND PROPERTIES OF MULTIPLICATION AND THE RELATIONSHIP BETWEEN MULTIPLICATION AND DIVISION

More information

6 th Grade Math. Skills and Knowledge: Division of Fractions Division of Fractions

6 th Grade Math. Skills and Knowledge: Division of Fractions Division of Fractions Title DESK L e s s o n Author / Source Submitted by Objectives What will students know and be able to do at the end of this lesson? Description Course: Davis Essential: 6 th Grade Math Number Sense/Fractions

More information

Pre-Algebra Unit 1: Number Sense Unit 1 Review Packet

Pre-Algebra Unit 1: Number Sense Unit 1 Review Packet Pre-Algebra Unit 1: Number Sense Unit 1 Review Packet Target 1: Writing Repeating Decimals in Rational Form Remember the goal is to get rid of the repeating decimal so we can write the number in rational

More information

Pennsylvania System of School Assessment

Pennsylvania System of School Assessment Mathematics, Grade 04 Pennsylvania System of School Assessment The Assessment Anchors, as defined by the Eligible Content, are organized into cohesive blueprints, each structured with a common labeling

More information

Grade 7 Math notes Unit 5 Operations with Fractions

Grade 7 Math notes Unit 5 Operations with Fractions Grade 7 Math notes Unit Operations with Fractions name: Using Models to Add Fractions We can use pattern blocks to model fractions. A hexagon is whole A trapezoid is of the whole. A parallelogram is of

More information

Alex Benn. Math 7 - Outline First Semester ( ) (Numbers in parentheses are the relevant California Math Textbook Sections) Quarter 1 44 days

Alex Benn. Math 7 - Outline First Semester ( ) (Numbers in parentheses are the relevant California Math Textbook Sections) Quarter 1 44 days Math 7 - Outline First Semester (2016-2017) Alex Benn (Numbers in parentheses are the relevant California Math Textbook Sections) Quarter 1 44 days 0.1 Classroom Rules Multiplication Table Unit 1 Measuring

More information

Lesson 21: If-Then Moves with Integer Number Cards

Lesson 21: If-Then Moves with Integer Number Cards Student Outcomes Students understand that if a number sentence is true and we make any of the following changes to the number sentence, the resulting number sentence will be true: i. Adding the same number

More information

Math Spring Operational Grade 5 PBA Item #11 Time on Chores M02372

Math Spring Operational Grade 5 PBA Item #11 Time on Chores M02372 Math Spring Operational 2015 Grade 5 PBA Item #11 Time on Chores M02372 Prompt Rubric Task is worth a total of 3 points. M02372 Rubric Score Description 3 Student response includes each of the following

More information

3.NBT NBT.2

3.NBT NBT.2 Saxon Math 3 Class Description: Saxon mathematics is based on the principle of developing math skills incrementally and reviewing past skills daily. It also incorporates regular and cumulative assessments.

More information

Math Released Item Grade 5. Fractions of Paint Cans Using Number Line M500200

Math Released Item Grade 5. Fractions of Paint Cans Using Number Line M500200 Math Released Item 2018 Grade 5 Fractions of Paint Cans Using Number Line M500200 Anchor Set A1 A6 With Annotations Prompt M500200 Rubric Part A Score Description 1 This part of the item is machine-scored.

More information

Math 154 :: Elementary Algebra

Math 154 :: Elementary Algebra Math :: Elementary Algebra Section 9. Section 9. Section 9. Section 9. Section 9. Section 9.6 Math :: Elementary Algebra Section 9. Introduction to Square Roots. This answer should be in your own words..

More information

GRADE LEVEL: FOURTH GRADE SUBJECT: MATH DATE: Read (in standard form) whole numbers. whole numbers Equivalent Whole Numbers

GRADE LEVEL: FOURTH GRADE SUBJECT: MATH DATE: Read (in standard form) whole numbers. whole numbers Equivalent Whole Numbers CRAWFORDSVILLE COMMUNITY SCHOOL CORPORATION 1 GRADE LEVEL: FOURTH GRADE SUBJECT: MATH DATE: 2019 2020 GRADING PERIOD: QUARTER 1 MASTER COPY 1 20 19 NUMBER SENSE Whole Numbers 4.NS.1: Read and write whole

More information

Activity 1: Play comparison games involving fractions, decimals and/or integers.

Activity 1: Play comparison games involving fractions, decimals and/or integers. Students will be able to: Lesson Fractions, Decimals, Percents and Integers. Play comparison games involving fractions, decimals and/or integers,. Complete percent increase and decrease problems, and.

More information

Measurement and Data Core Guide Grade 4

Measurement and Data Core Guide Grade 4 Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit (Standards 4.MD.1 2) Standard 4.MD.1 Know relative sizes of measurement units within each system

More information

Progressions for the Common Core State Standards in Mathematics

Progressions for the Common Core State Standards in Mathematics Progressions for the Common Core State Standards in Mathematics c Common Core Standards Writing Team 8 The Progressions are published under the Creative Commons Attribution (CC BY) license For information

More information

Mathology Ontario Grade 2 Correlations

Mathology Ontario Grade 2 Correlations Mathology Ontario Grade 2 Correlations Curriculum Expectations Mathology Little Books & Teacher Guides Number Sense and Numeration Quality Relations: Read, represent, compare, and order whole numbers to

More information

Fourth Grade Quarter 3 Unit 5: Fraction Equivalence, Ordering, and Operations Part 2, Topics F-H Approximately 14 days Begin around January 9 th

Fourth Grade Quarter 3 Unit 5: Fraction Equivalence, Ordering, and Operations Part 2, Topics F-H Approximately 14 days Begin around January 9 th HIGLEY UNIFIED SCHOOL DISTRICT 2016/2017 INSTRUCTIONAL ALIGNMENT Fourth Grade Quarter 3 Unit 5: Fraction Equivalence, Ordering, and Operations Part 2, Topics F-H Approximately 14 days Begin around January

More information

Fourth Grade. Adding Fractions with Common Denominators. Slide 1 / 111 Slide 2 / 111. Slide 4 / 111. Slide 3 / 111. Slide 6 / 111.

Fourth Grade. Adding Fractions with Common Denominators. Slide 1 / 111 Slide 2 / 111. Slide 4 / 111. Slide 3 / 111. Slide 6 / 111. Slide / Slide / Fourth Grade Fraction Computation 0-- www.njctl.org Slide / Slide / Table of Contents Click on a topic to go to that section. Adding Fractions with Common Denominators Adding Mixed Numbers

More information

PROPERTIES OF FRACTIONS

PROPERTIES OF FRACTIONS MATH MILESTONE # B4 PROPERTIES OF FRACTIONS The word, milestone, means a point at which a significant change occurs. A Math Milestone refers to a significant point in the understanding of mathematics.

More information

Radical Expressions and Graph (7.1) EXAMPLE #1: EXAMPLE #2: EXAMPLE #3: Find roots of numbers (Objective #1) Figure #1:

Radical Expressions and Graph (7.1) EXAMPLE #1: EXAMPLE #2: EXAMPLE #3: Find roots of numbers (Objective #1) Figure #1: Radical Expressions and Graph (7.1) Find roots of numbers EXAMPLE #1: Figure #1: Find principal (positive) roots EXAMPLE #2: Find n th roots of n th powers (Objective #3) EXAMPLE #3: Figure #2: 7.1 Radical

More information

7 Mathematics Curriculum

7 Mathematics Curriculum Common Core 7 Mathematics Curriculum GRADE Table of Contents Percent and Proportional Relationships GRADE 7 MODULE 4 Module Overview... 3 Topic A: Finding the Whole (7.RP.A., 7.RP.A.2c, 7.RP.A.3)... Lesson

More information

Elko County School District 5 th Grade Math Learning Targets

Elko County School District 5 th Grade Math Learning Targets Elko County School District 5 th Grade Math Learning Targets Nevada Content Standard 1.0 Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms;

More information

Sample: Do Not Reproduce RAT3 STUDENT PAGES. RATIONAL NUMBERS Student Pages for Packet 3: Ordering and Equivalence.

Sample: Do Not Reproduce RAT3 STUDENT PAGES. RATIONAL NUMBERS Student Pages for Packet 3: Ordering and Equivalence. Name Period Date RATIONAL NUMBERS Student Pages for Packet : Ordering and Equivalence RAT. RAT.2 Ordering Fractions on a Number Line Use sense-making strategies to compare and order fractions. Identify

More information

2011 Iredell Statesville Schools 4 th Grade Mathematics 1

2011 Iredell Statesville Schools 4 th Grade Mathematics 1 2011 Iredell Statesville Schools 4 th Grade Mathematics 1 Operations and Algebraic Thinking Use the four operations with whole numbers to solve problems. 4.OA.1 Interpret a multiplication equation as a

More information

Lesson 3: Fraction Buckets. Overview and Background Information

Lesson 3: Fraction Buckets. Overview and Background Information Lesson : Fraction Buckets Mathematical Goals Common Core State Standards Emphasized Standards for Mathematical Practice Prior Knowledge Needed Vocabulary Materials Resources Overview and Background Information

More information

Imagine Schools Summer Math Challenge

Imagine Schools Summer Math Challenge Imagine Schools Summer Math Challenge Third Grade Answer Key When completing the problems we need to show all of our work and show all of our thinking. Compare your work to ours, especially if your answer

More information

Math + 4 (Red) SEMESTER 1. { Pg. 1 } Unit 1: Whole Number Sense. Unit 2: Whole Number Operations. Unit 3: Applications of Operations

Math + 4 (Red) SEMESTER 1.  { Pg. 1 } Unit 1: Whole Number Sense. Unit 2: Whole Number Operations. Unit 3: Applications of Operations Math + 4 (Red) This research-based course focuses on computational fluency, conceptual understanding, and problem-solving. The engaging course features new graphics, learning tools, and games; adaptive

More information

Correlation of USA Daily Math Grade 5 to Common Core State Standards for Mathematics

Correlation of USA Daily Math Grade 5 to Common Core State Standards for Mathematics Correlation of USA Daily Math Grade 5 to Common Core State Standards for Mathematics 5.OA Operations and Algebraic Thinking (Mondays) 5.OA.1 Use parentheses, brackets, or p. 1 #3 p. 7 #3 p. 12 Brain Stretch

More information

Numeracy Warm Up. Introduction

Numeracy Warm Up. Introduction Numeracy Warm Up Introduction Numeracy Warm Up is a set of numeracy exercises that can be used for starters, main lessons and plenaries. It is aimed at Numeracy lessons covering National Curriculum Levels

More information

HIGLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL ALIGNMENT

HIGLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL ALIGNMENT HIGLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL ALIGNMENT Accelerated 7 th Grade Math Second Quarter Unit 3: Ratios and Proportional Relationships Topic C: Ratios and Rates Involving Fractions In Topic C,

More information

NOTES: SIGNED INTEGERS DAY 1

NOTES: SIGNED INTEGERS DAY 1 NOTES: SIGNED INTEGERS DAY 1 MULTIPLYING and DIVIDING: Same Signs (POSITIVE) + + = + positive x positive = positive = + negative x negative = positive Different Signs (NEGATIVE) + = positive x negative

More information

Fantastic Fractions. Integrated Unit of Study. Martha A. Ban. Fantastic Fractions

Fantastic Fractions. Integrated Unit of Study. Martha A. Ban. Fantastic Fractions Fantastic Fractions An Integrated Unit of Study by Martha A. Ban Atlantic Union Conference Teacher Bulletin www.teacherbulletin.org Page 1 of 46 Major Concepts Basic Fractions Fourths, Eights, and Tenths

More information

Practice Task: Expression Puzzle

Practice Task: Expression Puzzle Practice Task: Expression Puzzle In this task, students will practice interpreting numeric expressions by matching the numeric form to its meaning written in words, without evaluating the expression. STANDARDS

More information

Equivalent Fractions

Equivalent Fractions Grade 6 Ch 4 Notes Equivalent Fractions Have you ever noticed that not everyone describes the same things in the same way. For instance, a mother might say her baby is twelve months old. The father might

More information

THE NUMBER WAR GAMES

THE NUMBER WAR GAMES THE NUMBER WAR GAMES Teaching Mathematics Facts Using Games and Cards Mahesh C. Sharma President Center for Teaching/Learning Mathematics 47A River St. Wellesley, MA 02141 info@mathematicsforall.org @2008

More information

Foundations of Multiplication and Division

Foundations of Multiplication and Division Grade 2 Module 6 Foundations of Multiplication and Division OVERVIEW Grade 2 Module 6 lays the conceptual foundation for multiplication and division in Grade 3 and for the idea that numbers other than

More information

Teacher s Guide. Editor s note. How to use the game

Teacher s Guide. Editor s note. How to use the game Teacher s Guide Updated: January 23, 205 Editor s note Slice Fractions is designed to introduce children to the concept of fractions by solving puzzles. This guide reveals the underlying conceptual learning

More information