STAGE ONE: DESIRED RESULTS

Size: px
Start display at page:

Download "STAGE ONE: DESIRED RESULTS"

Transcription

1 Unit Name: Fractions Subject/Topic Area(s): Math Grade Level: 6th Time Frame: 2 weeks Class Description/Developmental Needs of Students: This class consists of 21 girls and 7 boys. This class social and enjoys opportunities to work with eachother. The students are proficient in the subject and move through material at a quick pace. 3 students are advanced and receive enriched assignments. STAGE ONE: DESIRED RESULTS ESTABLISHED GOALS (State and/or National Content Standard (s)): G Standard 6.NS- The Number System NS1- Apply and extend previous understandings of multiplication and division to divide fractions by fractions. NS2- Compute fluently with multi-digit numbers and find common factors and multiples. Standard 6.AF- Algebra and Functions AF1- Students write verbal expressions and sentences as algebraic expressions and equations; they evaluate algebraic expressions, solve simple linear equations, and graph and interpret their results: UNDERSTANDINGS: U Students will understand that fractions can be simplified using the greatest common factor of the numerator and denominator, and by using prime factorization. Students will learn to express fractions as decimals that terminate or repeat. In addition, students will learn to convert fractions to decimals and percents and vice versa. The students will use the least common denominator of a set of fractions to compare and order fractions and other rational numbers. Students will apply their fraction skills by adding, subtracting, multiplying, and dividing fractions and mixed numbers. ESSENTIAL QUESTIONS: Q How do you simplify fractions? How are fractions, decimals, and percent related? What are factors? Multiples? What are GCF and LCM and how do you use them? How to you estimate using fractions? How do you operate arithmetically using fractions and mixed numbers? 1

2 KNOWLEDGE: K Students will know: Key terms- equivalent fractions, percent, ratio, simplest form, greatest common factor (GCF), least common multiple (LCM), compatible numbers, similar fractions, reciprocal. The difference between factors and multiples. That fractions represent division. How to represent a fraction as a decimal and percent. SKILLS: S Students will be able to: Simplify fractions using GCF and prime factorization. Express fractions as decimals that either terminate or repeat. Convert fractions to decimals and percents, and vice versa. Compare and order fractions using LCD. Add, subtract, multiply and divide fractions and mixed numbers. 2

3 STAGE TWO: ASSESSMENT EVIDENCE PERFORMANCE TASKS (STUDENTS WILL DEMONSTRATE STANDARD BY): T Projects Sieve of Eratosthenese Activities Factor Game Fraction Quilt Chapter 4 Test and Unit Test Tests are used as summative assessments to measure students overall understanding of concepts covered. Students demonstrate understanding through skills gained during unit. OTHER EVIDENCE (FORMATIVE): OE Dailly s Each day students begin class by completing 4 warm-up problems, which are focused on basic skills. Think and Discuss On most days, students will participate in group or partner discussions based on the day s topic. These discussions may include problem solving, error analysis, application, graphic/visual representation. Homework Homework assignments are designed for practice of skills learned in class. *Enriched homework includes skills practice and word problems for contextual computation. Quizzes On average, 2 quizzes per chapter will be given to to assess current understanding. Basic Skills Worksheets Basic Skills are given weekly for continued practice of prior skills learned. In-class practice (individual and group) Students will participate, almost daily, in class practice. In class practice may include worksheets, workbook problems, on-line interactive. STAGE THREE: LEARNING PLAN (UNIT SEQUENCE) 3

4 LEARNING ACTIVTIES (WHERETO): L 1. Begin with an intro question, what is the greatest number that can go into 24 and 36?. H 2. Introduce essential questions. List the essential questions on the board. Using thumbs up, down or sideways have students perform a pre-unit assessment by using the appropriate thumb position to indicate their understanding of the concept. W,, E, E 3. Key terms will be introduced as needed with each chapter of the unit. E 4., where student work in pairs or groups to discuss and do a quick project (write-up, graphic organizer), will be dispersed throughout the unit. R, T 5. Introduce prime and composite numbers and prime factorization. Students use practice workbook for skills practice. E, R 6. Students complete the Sieve of Eratosthonese to identify all prime numbers from E, T, O 7. Students learn how to find the GCF and LCM in preparation for simplifying fractions. E 8. Play Factor Game to reinforce skills in an interactive way. E, T, O 9. Give a Quiz on prime factorization, GCF and LCM. R, E 10. Introduce fractions, decimals and percent and connect to essential question. Students will complete a fraction quilt as a project. E 11. Spend several days working with fractions, decimals and percents in various contexts (computation and word problems). R, E, R, T 12. Give Quiz on fractions, decimals and percent. Also, include a few questions about GCF, LCM and simplifying fractions. R, E 13. Make a study organizer in preparation for Chapter 4 Test. R, T 14. Students will review for the test in a whole class interactive activity. R, E, T 15. Give Chapter 4 Test as summative assessment. R 16. Students begin Chapter 5 completing a Marcy Cook estimation with fractions activity. T 17. In Chapter 5, students continue operations with fractions. Using skills learned in Ch. 4, students will continue to work with fractions. R, E, O 18. First the students will learn how to add and subtract fractions and mixed numbers. Students will use teacher-made worksheets to practice concepts. R, T, O 19. Give Quiz on adding and subtracting fractions and mixed numbers. R, E 20. Students learn to multiply and divide fractions and mixed numbers. Students will also solve equations involving fractions. E, R, T, O 21. Give Quiz on multiplying and dividing fractions and mixed numbers, include adding and subtracting fractions. R, E 22. Give formative unit assessment. All concepts covered in unit will be addressed. R 4

5 MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY Notes- Prime Factorization Notes- Greatest Common Factor Notes- Simplifying Fractions Notes- Least Common Multiple Ch. 4 Quiz #1 Decimal Maze Practice WB 5-1 GCF #1 WS Practice WB 4-4 LCM #1 WS Basic Skills (Due Tues.) MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY Notes- Decimals and Percents Notes- More Decimals and Percents Project-Fraction Quilt Notes- Comparing and Ordering Rational Numbers Ch. 4 Quiz #2 Decimals, and Percents #3 WS Make Study Organizer Begin Ch. 4 Review Decimals, and Percents #1 WS Finish Quilt Decimals, and Percents #2 WS Practice WB 4-9 Finish WS #3 Percent Maze Basic Skills (Due Wed.) 5

6 MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY Continue Ch. 4 Review Ch. 4 Practice Test (w/ answer key) Ch. 4 Test Finish Basic Skills Notes- Estimating with Fractions Marcy Cook Estimation Practice WB 5-1 Basic Skills (Due. Tues.) Notes- Adding and Subtracting Fractions and Mixed Numbers Adding and Subtracting Fractions #1 WS Notes- More Adding and Subtracting Fractions and Mixed Numbers Adding and Subtracting Fractions #2 WS MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY 6AF1.1 AF1.1 AF1.1 Ch. 5 Test Ch. 5 Quiz #1 Notes- Multiplying and Dividing Fractions and Mixed Numbers Notes- More Multiplying and Dividing Fractions and Mixed Numbers Notes- Solving Equations with Fractions Finish Ch. 5 Review (odds) Basic Skills (Due. Wed) Multiplying and Dividing Fractions #1 WS Multiplying and Dividing Fractions #1 WS Practice WB 5-6 Ch. 5 Review (evens) Ch. 5 Practice Test (w/ answer key) 6

Adding and Subtracting Fractions. 1. The denominator of a fraction names the fraction. It tells you how many equal parts something is divided into.

Adding and Subtracting Fractions. 1. The denominator of a fraction names the fraction. It tells you how many equal parts something is divided into. Tallahassee Community College Adding and Subtracting Fractions Important Ideas:. The denominator of a fraction names the fraction. It tells you how many equal parts something is divided into.. The numerator

More information

Math Common Core Sampler Test

Math Common Core Sampler Test High School Algebra Core Curriculum Math Test Math Common Core Sampler Test Our High School Algebra sampler covers the twenty most common questions that we see targeted for this level. For complete tests

More information

SAINT JOHN PAUL II CATHOLIC ACADEMY. Entering Grade 6 Summer Math

SAINT JOHN PAUL II CATHOLIC ACADEMY. Entering Grade 6 Summer Math SAINT JOHN PAUL II CATHOLIC ACADEMY Summer Math 2016 In Grade 5 You Learned To: Operations and Algebraic Thinking Write and interpret numerical expressions. Analyze patterns and relationships. Number and

More information

Addition with Unlike Denominators

Addition with Unlike Denominators Lesson. Addition with Unlike Denominators Karen is stringing a necklace with beads. She puts green beads on _ of the string and purple beads on of the string. How much of the string does Karen cover with

More information

Day One: Least Common Multiple

Day One: Least Common Multiple Grade Level/Course: 5 th /6 th Grade Math Lesson/Unit Plan Name: Using Prime Factors to find LCM and GCF. Rationale/Lesson Abstract: The objective of this two- part lesson is to give students a clear understanding

More information

Keystone Exams: Algebra I Assessment Anchors and Eligible Content. Pennsylvania

Keystone Exams: Algebra I Assessment Anchors and Eligible Content. Pennsylvania Keystone Exams: Algebra I Assessment Anchors and Pennsylvania Algebra 1 2010 STANDARDS MODULE 1 Operations and Linear Equations & Inequalities ASSESSMENT ANCHOR A1.1.1 Operations with Real Numbers and

More information

LESSON 4 Missing Numbers in Multiplication Missing Numbers in Division LESSON 5 Order of Operations, Part 1 LESSON 6 Fractional Parts LESSON 7 Lines,

LESSON 4 Missing Numbers in Multiplication Missing Numbers in Division LESSON 5 Order of Operations, Part 1 LESSON 6 Fractional Parts LESSON 7 Lines, Saxon Math 7/6 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

Fractions. Introduction... 2

Fractions. Introduction... 2 Introduction... 2 Unit 1: FACTORS AND MULTIPLES Lesson 1: Factors, Prime, and Composite Numbers... 2 Lesson 2: Factors Word Problems... 2 Lesson 3: Grea Common Factor... 3 Lesson 4: Multiples and Least

More information

Mrs..R. Alston 9/19-23/2011 Unit 2 Expressions Part 2

Mrs..R. Alston 9/19-23/2011 Unit 2 Expressions Part 2 9/19 Monday Review Chapter 1 Test Unit 1 Expressions Part 1 Write algebraic expressions to represent verbal phrases Write verbal phrases to represent algebraic expressions Use substitution and the order

More information

Contents. Sample worksheet from www.mathmammoth.com

Contents. Sample worksheet from www.mathmammoth.com Contents Introduction... 4 Warmup: Mental Math 1... 8 Warmup: Mental Math 2... 10 Review: Addition and Subtraction... 12 Review: Multiplication and Division... 15 Balance Problems and Equations... 19 More

More information

Summer Math Learning Packet For Students Entering Grade 8

Summer Math Learning Packet For Students Entering Grade 8 Summer Math Learning Packet For Students Entering Grade 8 Dear Westfield Families, It is important for all students to review math concepts and processes during the summer. Intentional practice of math

More information

Algebra Unit 6 Syllabus revised 2/27/13 Exponents and Polynomials

Algebra Unit 6 Syllabus revised 2/27/13 Exponents and Polynomials Algebra Unit 6 Syllabus revised /7/13 1 Objective: Multiply monomials. Simplify expressions involving powers of monomials. Pre-assessment: Exponents, Fractions, and Polynomial Expressions Lesson: Pages

More information

MAT 096, ELEMENTARY ALGEBRA 6 PERIODS, 5 LECTURES, 1 LAB, 0 CREDITS

MAT 096, ELEMENTARY ALGEBRA 6 PERIODS, 5 LECTURES, 1 LAB, 0 CREDITS 1 LAGUARDIA COMMUNITY COLLEGE CITY UNIVERSITY OF NEW YORK MATHEMATICS, ENGINEERING and COMPUTER SCIENCE DEPARTMENT FALL 2015 MAT 096, ELEMENTARY ALGEBRA 6 PERIODS, 5 LECTURES, 1 LAB, 0 CREDITS Catalog

More information

Basic Math Refresher A tutorial and assessment of basic math skills for students in PUBP704.

Basic Math Refresher A tutorial and assessment of basic math skills for students in PUBP704. Basic Math Refresher A tutorial and assessment of basic math skills for students in PUBP704. The purpose of this Basic Math Refresher is to review basic math concepts so that students enrolled in PUBP704:

More information

NCTM Curriculum Focal Points for Grade 5. Everyday Mathematics, Grade 5

NCTM Curriculum Focal Points for Grade 5. Everyday Mathematics, Grade 5 NCTM Curriculum Focal Points and, Grade 5 NCTM Curriculum Focal Points for Grade 5 Number and Operations and Algebra: Developing an understanding of and fluency with division of whole numbers Students

More information

FRACTION WORKSHOP. Example: Equivalent Fractions fractions that have the same numerical value even if they appear to be different.

FRACTION WORKSHOP. Example: Equivalent Fractions fractions that have the same numerical value even if they appear to be different. FRACTION WORKSHOP Parts of a Fraction: Numerator the top of the fraction. Denominator the bottom of the fraction. In the fraction the numerator is 3 and the denominator is 8. Equivalent Fractions: Equivalent

More information

Introduction to Fractions, Equivalent and Simplifying (1-2 days)

Introduction to Fractions, Equivalent and Simplifying (1-2 days) Introduction to Fractions, Equivalent and Simplifying (1-2 days) 1. Fraction 2. Numerator 3. Denominator 4. Equivalent 5. Simplest form Real World Examples: 1. Fractions in general, why and where we use

More information

47 Numerator Denominator

47 Numerator Denominator JH WEEKLIES ISSUE #22 2012-2013 Mathematics Fractions Mathematicians often have to deal with numbers that are not whole numbers (1, 2, 3 etc.). The preferred way to represent these partial numbers (rational

More information

What Are Rational Numbers? [8th grade]

What Are Rational Numbers? [8th grade] Trinity University Digital Commons @ Trinity Understanding by Design: Complete Collection Understanding by Design 8-30-2005 What Are Rational Numbers? [8th grade] Catherine Risinger Trinity University

More information

Algebra I Credit Recovery

Algebra I Credit Recovery Algebra I Credit Recovery COURSE DESCRIPTION: The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics,

More information

Module: Graphing Linear Equations_(10.1 10.5)

Module: Graphing Linear Equations_(10.1 10.5) Module: Graphing Linear Equations_(10.1 10.5) Graph Linear Equations; Find the equation of a line. Plot ordered pairs on How is the Graph paper Definition of: The ability to the Rectangular Rectangular

More information

Solutions of Linear Equations in One Variable

Solutions of Linear Equations in One Variable 2. Solutions of Linear Equations in One Variable 2. OBJECTIVES. Identify a linear equation 2. Combine like terms to solve an equation We begin this chapter by considering one of the most important tools

More information

FIDDLIN WITH FRACTIONS

FIDDLIN WITH FRACTIONS FIDDLIN WITH FRACTIONS Special Area: Connections (Fourth and Fifth Grade) Written by: (Dawn Ramos, Joan Johnson, Mindy Wilshusen, St. Mary s School) Length of Unit: (6 Lessons) I. ABSTRACT The purpose

More information

Major Work of the Grade

Major Work of the Grade Counting and Cardinality Know number names and the count sequence. Count to tell the number of objects. Compare numbers. Kindergarten Describe and compare measurable attributes. Classify objects and count

More information

Fractions and Linear Equations

Fractions and Linear Equations Fractions and Linear Equations Fraction Operations While you can perform operations on fractions using the calculator, for this worksheet you must perform the operations by hand. You must show all steps

More information

3 cups ¾ ½ ¼ 2 cups ¾ ½ ¼. 1 cup ¾ ½ ¼. 1 cup. 1 cup ¾ ½ ¼ ¾ ½ ¼. 1 cup. 1 cup ¾ ½ ¼ ¾ ½ ¼

3 cups ¾ ½ ¼ 2 cups ¾ ½ ¼. 1 cup ¾ ½ ¼. 1 cup. 1 cup ¾ ½ ¼ ¾ ½ ¼. 1 cup. 1 cup ¾ ½ ¼ ¾ ½ ¼ cups cups cup Fractions are a form of division. When I ask what is / I am asking How big will each part be if I break into equal parts? The answer is. This a fraction. A fraction is part of a whole. The

More information

Prentice Hall Mathematics, Algebra 1 2009

Prentice Hall Mathematics, Algebra 1 2009 Prentice Hall Mathematics, Algebra 1 2009 Grades 9-12 C O R R E L A T E D T O Grades 9-12 Prentice Hall Mathematics, Algebra 1 Program Organization Prentice Hall Mathematics supports student comprehension

More information

Maths Workshop for Parents 2. Fractions and Algebra

Maths Workshop for Parents 2. Fractions and Algebra Maths Workshop for Parents 2 Fractions and Algebra What is a fraction? A fraction is a part of a whole. There are two numbers to every fraction: 2 7 Numerator Denominator 2 7 This is a proper (or common)

More information

Sequential Skills. Strands and Major Topics

Sequential Skills. Strands and Major Topics Sequential Skills This set of charts lists, by strand, the skills that are assessed, taught, and practiced in the Skills Tutorial program. Each Strand ends with a Mastery Test. You can enter correlating

More information

FRACTIONS. The student will be able to: Essential Fraction Vocabulary

FRACTIONS. The student will be able to: Essential Fraction Vocabulary FRACTIONS The student will be able to:. Perform basic operations with common fractions: addition, subtraction, multiplication, and division. Common fractions, such as /, /, and /, are used on the GED Test

More information

Integer Operations. Overview. Grade 7 Mathematics, Quarter 1, Unit 1.1. Number of Instructional Days: 15 (1 day = 45 minutes) Essential Questions

Integer Operations. Overview. Grade 7 Mathematics, Quarter 1, Unit 1.1. Number of Instructional Days: 15 (1 day = 45 minutes) Essential Questions Grade 7 Mathematics, Quarter 1, Unit 1.1 Integer Operations Overview Number of Instructional Days: 15 (1 day = 45 minutes) Content to Be Learned Describe situations in which opposites combine to make zero.

More information

Precalculus Orientation and FAQ

Precalculus Orientation and FAQ Precalculus Orientation and FAQ MATH 1011 (Precalculus) is a four hour 3 credit course that prepares a student for Calculus. Topics covered include linear, quadratic, polynomial, rational, exponential,

More information

HFCC Math Lab Arithmetic - 4. Addition, Subtraction, Multiplication and Division of Mixed Numbers

HFCC Math Lab Arithmetic - 4. Addition, Subtraction, Multiplication and Division of Mixed Numbers HFCC Math Lab Arithmetic - Addition, Subtraction, Multiplication and Division of Mixed Numbers Part I: Addition and Subtraction of Mixed Numbers There are two ways of adding and subtracting mixed numbers.

More information

Seating, Attendance, Copy Agenda & Handouts -- Math Grade 6 Course 1 Syllabus; Donors Choose & Computer Survey Pretest Part 2 #26-55

Seating, Attendance, Copy Agenda & Handouts -- Math Grade 6 Course 1 Syllabus; Donors Choose & Computer Survey Pretest Part 2 #26-55 Week 1 MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY 8/11/2014 8/12/2014 8/13/2014 8/14/2014 8/15/2014 CLASS Seating, Attendance, Copy Agenda & Copy Agenda Attendance Handouts -- Math Grade 6 Course 1 Syllabus;

More information

Anchorage School District/Alaska Sr. High Math Performance Standards Algebra

Anchorage School District/Alaska Sr. High Math Performance Standards Algebra Anchorage School District/Alaska Sr. High Math Performance Standards Algebra Algebra 1 2008 STANDARDS PERFORMANCE STANDARDS A1:1 Number Sense.1 Classify numbers as Real, Irrational, Rational, Integer,

More information

Brunswick High School has reinstated a summer math curriculum for students Algebra 1, Geometry, and Algebra 2 for the 2014-2015 school year.

Brunswick High School has reinstated a summer math curriculum for students Algebra 1, Geometry, and Algebra 2 for the 2014-2015 school year. Brunswick High School has reinstated a summer math curriculum for students Algebra 1, Geometry, and Algebra 2 for the 2014-2015 school year. Goal The goal of the summer math program is to help students

More information

Clifton High School Mathematics Summer Workbook Algebra 1

Clifton High School Mathematics Summer Workbook Algebra 1 1 Clifton High School Mathematics Summer Workbook Algebra 1 Completion of this summer work is required on the first day of the school year. Date Received: Date Completed: Student Signature: Parent Signature:

More information

Grade 6 Mathematics Performance Level Descriptors

Grade 6 Mathematics Performance Level Descriptors Limited Grade 6 Mathematics Performance Level Descriptors A student performing at the Limited Level demonstrates a minimal command of Ohio s Learning Standards for Grade 6 Mathematics. A student at this

More information

Norwalk La Mirada Unified School District. Algebra Scope and Sequence of Instruction

Norwalk La Mirada Unified School District. Algebra Scope and Sequence of Instruction 1 Algebra Scope and Sequence of Instruction Instructional Suggestions: Instructional strategies at this level should include connections back to prior learning activities from K-7. Students must demonstrate

More information

3.3 Addition and Subtraction of Rational Numbers

3.3 Addition and Subtraction of Rational Numbers 3.3 Addition and Subtraction of Rational Numbers In this section we consider addition and subtraction of both fractions and decimals. We start with addition and subtraction of fractions with the same denominator.

More information

MACMILLAN/McGRAW-HILL. MATH CONNECTS and IMPACT MATHEMATICS WASHINGTON STATE MATHEMATICS STANDARDS. ESSENTIAL ACADEMIC LEARNING REQUIREMENTS (EALRs)

MACMILLAN/McGRAW-HILL. MATH CONNECTS and IMPACT MATHEMATICS WASHINGTON STATE MATHEMATICS STANDARDS. ESSENTIAL ACADEMIC LEARNING REQUIREMENTS (EALRs) MACMILLAN/McGRAW-HILL MATH CONNECTS and IMPACT MATHEMATICS TO WASHINGTON STATE MATHEMATICS STANDARDS ESSENTIAL ACADEMIC LEARNING REQUIREMENTS (EALRs) And GRADE LEVEL EXPECTATIONS (GLEs) / Edition, Copyright

More information

Algebra 1. Curriculum Map

Algebra 1. Curriculum Map Algebra 1 Curriculum Map Table of Contents Unit 1: Expressions and Unit 2: Linear Unit 3: Representing Linear Unit 4: Linear Inequalities Unit 5: Systems of Linear Unit 6: Polynomials Unit 7: Factoring

More information

Copy in your notebook: Add an example of each term with the symbols used in algebra 2 if there are any.

Copy in your notebook: Add an example of each term with the symbols used in algebra 2 if there are any. Algebra 2 - Chapter Prerequisites Vocabulary Copy in your notebook: Add an example of each term with the symbols used in algebra 2 if there are any. P1 p. 1 1. counting(natural) numbers - {1,2,3,4,...}

More information

Name Period. Pre-AP Algebra I First 9 Weeks Assignments!

Name Period. Pre-AP Algebra I First 9 Weeks Assignments! Name Period Pre-AP Algebra I First 9 Weeks Assignments! Chapter 1: Foundations for Algebra L1-1 Variables and Expressions / L1-2 Adding & Subtracting Real Numbers L1-3 Multiplying & Dividing Real Numbers

More information

Accentuate the Negative: Homework Examples from ACE

Accentuate the Negative: Homework Examples from ACE Accentuate the Negative: Homework Examples from ACE Investigation 1: Extending the Number System, ACE #6, 7, 12-15, 47, 49-52 Investigation 2: Adding and Subtracting Rational Numbers, ACE 18-22, 38(a),

More information

Algebra 1 If you are okay with that placement then you have no further action to take Algebra 1 Portion of the Math Placement Test

Algebra 1 If you are okay with that placement then you have no further action to take Algebra 1 Portion of the Math Placement Test Dear Parents, Based on the results of the High School Placement Test (HSPT), your child should forecast to take Algebra 1 this fall. If you are okay with that placement then you have no further action

More information

REVIEW SHEETS BASIC MATHEMATICS MATH 010

REVIEW SHEETS BASIC MATHEMATICS MATH 010 REVIEW SHEETS BASIC MATHEMATICS MATH 010 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts that are taught in the specified math course. The sheets

More information

Math Circle Beginners Group October 18, 2015

Math Circle Beginners Group October 18, 2015 Math Circle Beginners Group October 18, 2015 Warm-up problem 1. Let n be a (positive) integer. Prove that if n 2 is odd, then n is also odd. (Hint: Use a proof by contradiction.) Suppose that n 2 is odd

More information

Everyday Mathematics CCSS EDITION CCSS EDITION. Content Strand: Number and Numeration

Everyday Mathematics CCSS EDITION CCSS EDITION. Content Strand: Number and Numeration CCSS EDITION Overview of -6 Grade-Level Goals CCSS EDITION Content Strand: Number and Numeration Program Goal: Understand the Meanings, Uses, and Representations of Numbers Content Thread: Rote Counting

More information

Everyday Mathematics GOALS

Everyday Mathematics GOALS Copyright Wright Group/McGraw-Hill GOALS The following tables list the Grade-Level Goals organized by Content Strand and Program Goal. Content Strand: NUMBER AND NUMERATION Program Goal: Understand the

More information

Assessment For The California Mathematics Standards Grade 2

Assessment For The California Mathematics Standards Grade 2 Introduction: Summary of Goals GRADE TWO By the end of grade two, students understand place value and number relationships in addition and subtraction and they use simple concepts of multiplication. They

More information

Accuplacer Arithmetic Study Guide

Accuplacer Arithmetic Study Guide Testing Center Student Success Center Accuplacer Arithmetic Study Guide I. Terms Numerator: which tells how many parts you have (the number on top) Denominator: which tells how many parts in the whole

More information

Stage 1: Integrate essential questions, big ideas and learning targets, and ensure it can be differentiated and assessed

Stage 1: Integrate essential questions, big ideas and learning targets, and ensure it can be differentiated and assessed Grade 5 Math Unit Title Time frame 21 st Century Themes Interdisciplinary focus and technology integration Unit 1: Understanding Place Value 3 weeks Critical Thinking and Problem Solving Communication

More information

NF5-12 Flexibility with Equivalent Fractions and Pages 110 112

NF5-12 Flexibility with Equivalent Fractions and Pages 110 112 NF5- Flexibility with Equivalent Fractions and Pages 0 Lowest Terms STANDARDS preparation for 5.NF.A., 5.NF.A. Goals Students will equivalent fractions using division and reduce fractions to lowest terms.

More information

For Students Entering 5 th Grade. Table of Contents

For Students Entering 5 th Grade. Table of Contents For Students Entering 5 th Grade Table of Contents! Algebra 4A.1. Page 1! Algebra 4A.2. Page 2! Numbers 4N.1. Pages 3-4! Numbers 4N.2 Pages 5-6! Numbers 4N.3. Pages 7-8! Parts of a Whole 4P.1. Page 9!

More information

Sixth Grade Problem Solving Tasks Weekly Enrichments Teacher Materials. Summer Dreamers 2013

Sixth Grade Problem Solving Tasks Weekly Enrichments Teacher Materials. Summer Dreamers 2013 Sixth Grade Problem Solving Tasks Weekly Enrichments Teacher Materials Summer Dreamers 2013 SOLVING MATH PROBLEMS KEY QUESTIONS WEEK 1 By the end of this lesson, students should be able to answer these

More information

Students will be able to simplify and evaluate numerical and variable expressions using appropriate properties and order of operations.

Students will be able to simplify and evaluate numerical and variable expressions using appropriate properties and order of operations. Outcome 1: (Introduction to Algebra) Skills/Content 1. Simplify numerical expressions: a). Use order of operations b). Use exponents Students will be able to simplify and evaluate numerical and variable

More information

Chapter 5. Rational Expressions

Chapter 5. Rational Expressions 5.. Simplify Rational Expressions KYOTE Standards: CR ; CA 7 Chapter 5. Rational Expressions Definition. A rational expression is the quotient P Q of two polynomials P and Q in one or more variables, where

More information

Math 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.

Math 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers. Math 0980 Chapter Objectives Chapter 1: Introduction to Algebra: The Integers. 1. Identify the place value of a digit. 2. Write a number in words or digits. 3. Write positive and negative numbers used

More information

SIMPLIFYING ALGEBRAIC FRACTIONS

SIMPLIFYING ALGEBRAIC FRACTIONS Tallahassee Community College 5 SIMPLIFYING ALGEBRAIC FRACTIONS In arithmetic, you learned that a fraction is in simplest form if the Greatest Common Factor (GCF) of the numerator and the denominator is

More information

Content Standards 5.0 Numbers and Operations Standard Statement... 17 5.1 Number Sense. 18 5.2 Operations on Numbers... 26 5.3 Estimation...

Content Standards 5.0 Numbers and Operations Standard Statement... 17 5.1 Number Sense. 18 5.2 Operations on Numbers... 26 5.3 Estimation... TABLE OF CONTENTS Introduction.... 4 Process Standards....... 8 1.0 Problem Solving....... 9 2.0 Reasoning and Proof..... 12 3.0 Communication......... 13 4.0 Connections.... 15 Content Standards 5.0 Numbers

More information

MEP Y9 Practice Book A

MEP Y9 Practice Book A 1 Base Arithmetic 1.1 Binary Numbers We normally work with numbers in base 10. In this section we consider numbers in base 2, often called binary numbers. In base 10 we use the digits 0, 1, 2, 3, 4, 5,

More information

MyMathLab ecourse for Developmental Mathematics

MyMathLab ecourse for Developmental Mathematics MyMathLab ecourse for Developmental Mathematics, North Shore Community College, University of New Orleans, Orange Coast College, Normandale Community College Table of Contents Module 1: Whole Numbers and

More information

Curriculum Map Grade: _7 th Basic Math School: _ Middle Date: Oct. 31/2009

Curriculum Map Grade: _7 th Basic Math School: _ Middle Date: Oct. 31/2009 August/ September Review basic skills of add, subtract, multiply, and divide whole numbers and fractions. (skill with a # assessed locally.) Students will add, subtract, multiply, and divide positive rational

More information

MATH 90 CHAPTER 1 Name:.

MATH 90 CHAPTER 1 Name:. MATH 90 CHAPTER 1 Name:. 1.1 Introduction to Algebra Need To Know What are Algebraic Expressions? Translating Expressions Equations What is Algebra? They say the only thing that stays the same is change.

More information

Tennessee Mathematics Standards 2009-2010 Implementation. Grade Six Mathematics. Standard 1 Mathematical Processes

Tennessee Mathematics Standards 2009-2010 Implementation. Grade Six Mathematics. Standard 1 Mathematical Processes Tennessee Mathematics Standards 2009-2010 Implementation Grade Six Mathematics Standard 1 Mathematical Processes GLE 0606.1.1 Use mathematical language, symbols, and definitions while developing mathematical

More information

Warm-Up. Today s Objective/Standards: Students will use the correct order of operations to evaluate algebraic expressions/ Gr. 6 AF 1.

Warm-Up. Today s Objective/Standards: Students will use the correct order of operations to evaluate algebraic expressions/ Gr. 6 AF 1. Warm-Up CST/CAHSEE: Gr. 6 AF 1.4 Simplify: 8 + 8 2 + 2 A) 4 B) 8 C) 10 D) 14 Review: Gr. 7 NS 1.2 Complete the statement using ,. Explain. 2 5 5 2 How did students get the other answers? Other: Gr.

More information

3.1. RATIONAL EXPRESSIONS

3.1. RATIONAL EXPRESSIONS 3.1. RATIONAL EXPRESSIONS RATIONAL NUMBERS In previous courses you have learned how to operate (do addition, subtraction, multiplication, and division) on rational numbers (fractions). Rational numbers

More information

CORE Assessment Module Module Overview

CORE Assessment Module Module Overview CORE Assessment Module Module Overview Content Area Mathematics Title Speedy Texting Grade Level Grade 7 Problem Type Performance Task Learning Goal Students will solve real-life and mathematical problems

More information

Minnesota Academic Standards

Minnesota Academic Standards A Correlation of to the Minnesota Academic Standards Grades K-6 G/M-204 Introduction This document demonstrates the high degree of success students will achieve when using Scott Foresman Addison Wesley

More information

Composing and Decomposing Whole Numbers

Composing and Decomposing Whole Numbers Grade 2 Mathematics, Quarter 1, Unit 1.1 Composing and Decomposing Whole Numbers Overview Number of instructional days: 10 (1 day = 45 60 minutes) Content to be learned Demonstrate understanding of mathematical

More information

Charlesworth School Year Group Maths Targets

Charlesworth School Year Group Maths Targets Charlesworth School Year Group Maths Targets Year One Maths Target Sheet Key Statement KS1 Maths Targets (Expected) These skills must be secure to move beyond expected. I can compare, describe and solve

More information

UNIT PLAN: EXPONENTIAL AND LOGARITHMIC FUNCTIONS

UNIT PLAN: EXPONENTIAL AND LOGARITHMIC FUNCTIONS UNIT PLAN: EXPONENTIAL AND LOGARITHMIC FUNCTIONS Summary: This unit plan covers the basics of exponential and logarithmic functions in about 6 days of class. It is intended for an Algebra II class. The

More information

Prentice Hall Mathematics Algebra 1 2004 Correlated to: Alabama Course of Study: Mathematics (Grades 9-12)

Prentice Hall Mathematics Algebra 1 2004 Correlated to: Alabama Course of Study: Mathematics (Grades 9-12) Alabama Course of Study: Mathematics (Grades 9-12) NUMBER AND OPERATIONS 1. Simplify numerical expressions using properties of real numbers and order of operations, including those involving square roots,

More information

Kindergarten Math Curriculum Course Description and Philosophy Text Reference:

Kindergarten Math Curriculum Course Description and Philosophy Text Reference: Kindergarten Math Curriculum Course Description and Philosophy How do numbers and math affect our daily lives? What types of problems can be solved by understanding numbers and math concepts? Through inquiry,

More information

Successful completion of Math 7 or Algebra Readiness along with teacher recommendation.

Successful completion of Math 7 or Algebra Readiness along with teacher recommendation. MODESTO CITY SCHOOLS COURSE OUTLINE COURSE TITLE:... Basic Algebra COURSE NUMBER:... RECOMMENDED GRADE LEVEL:... 8-11 ABILITY LEVEL:... Basic DURATION:... 1 year CREDIT:... 5.0 per semester MEETS GRADUATION

More information

Number: Multiplication and Division

Number: Multiplication and Division MULTIPLICATION & DIVISION FACTS count in steps of 2, 3, and 5 count from 0 in multiples of 4, 8, 50 count in multiples of 6, count forwards or backwards from 0, and in tens from any and 100 7, 9, 25 and

More information

Exponents. Exponents tell us how many times to multiply a base number by itself.

Exponents. Exponents tell us how many times to multiply a base number by itself. Exponents Exponents tell us how many times to multiply a base number by itself. Exponential form: 5 4 exponent base number Expanded form: 5 5 5 5 25 5 5 125 5 625 To use a calculator: put in the base number,

More information

Definition 8.1 Two inequalities are equivalent if they have the same solution set. Add or Subtract the same value on both sides of the inequality.

Definition 8.1 Two inequalities are equivalent if they have the same solution set. Add or Subtract the same value on both sides of the inequality. 8 Inequalities Concepts: Equivalent Inequalities Linear and Nonlinear Inequalities Absolute Value Inequalities (Sections 4.6 and 1.1) 8.1 Equivalent Inequalities Definition 8.1 Two inequalities are equivalent

More information

Napa Valley College Fall 2015 Math 106-67528: College Algebra (Prerequisite: Math 94/Intermediate Alg.)

Napa Valley College Fall 2015 Math 106-67528: College Algebra (Prerequisite: Math 94/Intermediate Alg.) 1 Napa Valley College Fall 2015 Math 106-67528: College Algebra (Prerequisite: Math 94/Intermediate Alg.) Room 1204 Instructor: Yolanda Woods Office: Bldg. 1000 Rm. 1031R Phone: 707-256-7757 M-Th 9:30-10:35

More information

TYPES OF NUMBERS. Example 2. Example 1. Problems. Answers

TYPES OF NUMBERS. Example 2. Example 1. Problems. Answers TYPES OF NUMBERS When two or more integers are multiplied together, each number is a factor of the product. Nonnegative integers that have exactly two factors, namely, one and itself, are called prime

More information

The GMAT Guru. Prime Factorization: Theory and Practice

The GMAT Guru. Prime Factorization: Theory and Practice . Prime Factorization: Theory and Practice The following is an ecerpt from The GMAT Guru Guide, available eclusively to clients of The GMAT Guru. If you would like more information about GMAT Guru services,

More information

Carroll County Public Schools Elementary Mathematics Instructional Guide (5 th Grade) Unit #4 : Division of Whole Numbers and Measurement

Carroll County Public Schools Elementary Mathematics Instructional Guide (5 th Grade) Unit #4 : Division of Whole Numbers and Measurement Background Information and Research By fifth grade, students should understand that division can mean equal sharing or partitioning of equal groups or arrays. They should also understand that it is the

More information

Teaching Pre-Algebra in PowerPoint

Teaching Pre-Algebra in PowerPoint Key Vocabulary: Numerator, Denominator, Ratio Title Key Skills: Convert Fractions to Decimals Long Division Convert Decimals to Percents Rounding Percents Slide #1: Start the lesson in Presentation Mode

More information

CONTENTS. Please note:

CONTENTS. Please note: CONTENTS Introduction...iv. Number Systems... 2. Algebraic Expressions.... Factorising...24 4. Solving Linear Equations...8. Solving Quadratic Equations...0 6. Simultaneous Equations.... Long Division

More information

Course Syllabus: Math 350 Topics in Mathematics for Elementary Teachers I (Fall 2014)

Course Syllabus: Math 350 Topics in Mathematics for Elementary Teachers I (Fall 2014) Course Syllabus: Math 350 Topics in Mathematics for Elementary Teachers I (Fall 2014) Instructor: Dr. KaSai Un Office Location: Bin 312 Office Hours: Office Phone: 903-886-5948 Office Fax: 903-886-5945

More information

Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley 2008. Chapter 1: Place, Value, Adding, and Subtracting

Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley 2008. Chapter 1: Place, Value, Adding, and Subtracting Grade 5 Math Pacing Guide Page 1 of 9 Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley 2008 Test Preparation Timeline Recommendation: September - November Chapters 1-5 December

More information

Questions. Strategies August/September Number Theory. What is meant by a number being evenly divisible by another number?

Questions. Strategies August/September Number Theory. What is meant by a number being evenly divisible by another number? Content Skills Essential August/September Number Theory Identify factors List multiples of whole numbers Classify prime and composite numbers Analyze the rules of divisibility What is meant by a number

More information

Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.

Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. Solve word problems that call for addition of three whole numbers

More information

Mohawk Valley Community College MVCC MA115 Mr. Bauer

Mohawk Valley Community College MVCC MA115 Mr. Bauer Mohawk Valley Community College MVCC MA115 Course description: This is a dual credit course. Successful completion of the course will give students 1 VVS Credit and 3 MVCC Credit. College credits do have

More information

Number, Operation, and Quantitative Reasoning

Number, Operation, and Quantitative Reasoning Number, Operation, and Quantitative Reasoning Activity: TEKS: Problem Solving with Fractions (6.2) Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, and divides to

More information

Second Grade Addition And Subtraction Bingo

Second Grade Addition And Subtraction Bingo Second Grade Bingo Free PDF ebook Download: Second Grade Bingo Download or Read Online ebook second grade addition and subtraction bingo in PDF Format From The Best User Guide Database Second Grade. If

More information

Sunny Hills Math Club Decimal Numbers Lesson 4

Sunny Hills Math Club Decimal Numbers Lesson 4 Are you tired of finding common denominators to add fractions? Are you tired of converting mixed fractions into improper fractions, just to multiply and convert them back? Are you tired of reducing fractions

More information

Primary Curriculum 2014

Primary Curriculum 2014 Primary Curriculum 2014 Suggested Key Objectives for Mathematics at Key Stages 1 and 2 Year 1 Maths Key Objectives Taken from the National Curriculum 1 Count to and across 100, forwards and backwards,

More information

Decimals and Percentages

Decimals and Percentages Decimals and Percentages Specimen Worksheets for Selected Aspects Paul Harling b recognise the number relationship between coordinates in the first quadrant of related points Key Stage 2 (AT2) on a line

More information

Math Review. for the Quantitative Reasoning Measure of the GRE revised General Test

Math Review. for the Quantitative Reasoning Measure of the GRE revised General Test Math Review for the Quantitative Reasoning Measure of the GRE revised General Test www.ets.org Overview This Math Review will familiarize you with the mathematical skills and concepts that are important

More information

Financial Mathematics

Financial Mathematics Financial Mathematics For the next few weeks we will study the mathematics of finance. Apart from basic arithmetic, financial mathematics is probably the most practical math you will learn. practical in

More information

Multiplying Fractions

Multiplying Fractions . Multiplying Fractions. OBJECTIVES 1. Multiply two fractions. Multiply two mixed numbers. Simplify before multiplying fractions 4. Estimate products by rounding Multiplication is the easiest of the four

More information

M0312 Assignments on Grade Tally Sheet Spring 2011 Section # Name

M0312 Assignments on Grade Tally Sheet Spring 2011 Section # Name M0312 Assignments on Grade Tally Sheet Spring 2011 Section # Name Date Packet Work Points MyMathLab Sections 1/18/11 Line 1: Pop Test 1.1, page 1-7 1.1 Pop Test 1.2, page 1-8 1.2 Scientific Notation Worksheet,

More information

Lesson/Unit Plan Name: Multiplication Facts Made Easy

Lesson/Unit Plan Name: Multiplication Facts Made Easy Grade Level/Course: Grades 3-6 Lesson/Unit Plan Name: Multiplication Facts Made Easy Rationale/Lesson Abstract: Teachers can eliminate the stress associated with developing fluency with multiplication

More information