Chapter 10 IDEA Share Developing Fraction Concepts. Jana Kienzle EDU 307 Math Methods
|
|
- Dwayne McCoy
- 5 years ago
- Views:
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
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 informationNumber 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 informationI 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 informationContent 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 informationDiocese 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 informationMath 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 informationChapter 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 informationGrade 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 informationMath 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 informationStandards 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 informationThird 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 informationSingapore 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 informationClarification 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 information4th 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 informationTeaching 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 information8/22/2013 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 informationSecond 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 informationFormative 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 informationPatterns 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 information3rd 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 informationAIMS 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 informationFractions 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 information3rd 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 informationFractions & 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 informationGRADE 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 informationMath 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 informationGrade 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 informationSecond 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 informationThe 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 informationUnit 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 information3.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 informationGRADE 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 informationRational 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 informationUnderstanding 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 informationIntroduction 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 informationBREATHITT 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 informationGrade 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 informationMATHEMATICS 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 informationGeorgia 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 informationGrade 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 information4th 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 informationAdding 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 informationLearning 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 informationFraction 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 information7 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 informationGrade 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 informationLesson 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)
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 informationGrade: 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)
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 informationFor 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 informationCCSS 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 informationAIMS 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 informationAn 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 informationFourth 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 informationGeorgia 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 informationGREATER 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 informationG 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 informationNSCAS - 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 informationUNIT 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 information4 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 information7 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 informationCurriculum 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 informationOPERATIONS 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 information6 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 informationPre-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 informationPennsylvania 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 informationGrade 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 informationAlex 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 informationLesson 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 informationMath 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 information3.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 informationMath 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 informationMath 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 informationGRADE 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 informationActivity 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 informationMeasurement 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 informationProgressions 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 informationMathology 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 informationFourth 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 informationFourth 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 informationPROPERTIES 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 informationRadical 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 information7 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 informationElko 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 informationSample: 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 information2011 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 informationLesson 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 informationImagine 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 informationMath + 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 informationCorrelation 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 informationNumeracy 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 informationHIGLEY 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 informationNOTES: 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 informationFantastic 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 informationPractice 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 informationEquivalent 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 informationTHE 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 informationFoundations 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 informationTeacher 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