# Focus Questions Background Description Purpose

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 Focus Questions Background The student book is organized around three to five investigations, each of which contain three to five problems and a that students explore during class. In the Teacher Guide the Goals for each unit include two to four big concepts with an elaboration of the essential understandings for each. In the Teacher Guide, a Focus Question is provided for each problem in an investigation. The Focus Question collapses the mathematical understandings and strategies embedded in the problem into one overarching question. The teacher can use the Focus Question to guide his/her instructional decisions throughout his/her planning, teaching, and reflections on student understanding. Description The Goals of the unit describe the mathematics content developed in the unit. The Focus Questions provide a story line for the mathematical development of an investigation. The set of s in the student book provide a story line for the mathematical development of the unit. The following contain all of the Goals, Focus Questions and s for each unit in CMP3. Purpose These stories can serve as an overview of the unit and as a guide for planning, teaching and assessing. The Goals, s, and Focus Questions can be laminated and used a bookmark for the Teacher.

2 6-5: Decimal Ops Unit Goals, Focus Questions, and s Unit Goals Numeric Estimation Understand that estimation can be used as a tool in a variety of situations, including as a way to check answers and make decisions Use estimates to solve problems and check answers Decimal Operations Revisit and continue to develop meanings for the four arithmetic operations on rational numbers, and practice using algorithms to operate on decimals Recognize when addition, subtraction, multiplication, or division is the appropriate operation to solve a problem Use place value to develop understanding of algorithms and to relate operations with decimals to the same operations with fractions Extend understanding of multiplication and division of multidigit whole numbers Develop standard algorithms for multiplying and dividing decimals with the aid of, at most, paper and pencil Find a repeating or terminating decimal equivalent to a given fraction Solve problems using arithmetic operations on decimals, including finding unit rates Variables and Number Sentences Use variables to represent unknown values and number sentences to represent relationships between values Write number sentences to represent relationships between both real-world and abstract values Use fact families to write and solve equivalent number sentences Use multiplication sentences to check division sentences Percents Develop understanding of percents through various contexts, such as sales tax, tips, discounts, and percent increases Develop models for percent problems Write and solve number sentences involving percents

3 Focus Questions and s Investigation 1 Decimal Operations and Estimation Problem 1.1 Out to Lunch: Matching Operations and Questions Investigation 2 Adding and Subtracting Problem 2.1 Getting Things in the Right Place: Adding Investigation 3 Multiplying and Dividing Problem 3.1 It s Decimal Times(s): Multiplying I Investigation 4 Using Percents Problem 4.1 What s the Tax on This Item? Focus Question What signals in a real-world problem tell you which operation to use? Focus Question What s the Difference? Subtracting find the product of any two decimal numbers? find the tax and the total cost of an item from a given selling price and tax rate? How do you find the base price from a given tax rate and amount? Problem 1.2 Getting Close: Estimating Decimal Calculations Problem 2.2 What s the difference? Subtracting Problem 3.2 It Works Every Time: Multiplying II Problem 4.2 Computing Tips Focus Question When you work with decimal computations, what strategies can you use to estimate the results? subtract one decimal number from another? Focus Question What algorithm can be used to find any decimal product? find the tip and the total cost of a restaurant meal from a given meal price and tip rate? How do you find the meal price from a given tip percent and amount? Problem 1.3 Take a Hike: Connecting Ratios, Rates, and Problem 2.3 Connecting Operations: Fact Families Problem 3.3 How Many Times? Dividing I Problem 4.3 Percent Discounts express a unit rate as a decimal Focus Question Do fact families apply to operations Focus Question How can a decimal division problem be find the discount and the total

4 and use it to solve problems? with decimal numbers? written in equivalent fraction and whole number form? Problem 3.4 Going the Long Way: Dividing II carry out a decimal division using a method similar to long division of whole numbers? Problem 3.5 Challenging Cases: Dividing III complete a long division problem that doesn t give a whole number quotient? That is, how do you express remainders in decimal form? cost of an item from a given selling price and discount rate? How do you find the base price from a given discount rate and amount? How can you express a change in a given amount as a percent change? Problem 4.4 Putting Operations Together decide which operations to perform when a problem involves decimals and percents? 1. How do you know when solving a problem that involves decimals requires addition? Subtraction? Multiplication? Division? 2. Describe a strategy that 1. How does interpreting decimals as fractions help you make sense of adding and subtracting decimals? Give an example to show your thinking. 2. How does the place-value 1. What algorithm can be used to multiply any two decimal numbers? Explain why your algorithm works, and give an example that shows how it works. 1. a. How do you find the tax on a purchase and calculate the final bill? Give an example, then write and solve a number sentence to illustrate your strategy.

### 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

### 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

### Grade 4 Multi-Digit Multiplication and Division with One Divisor Unit of Instruction

Grade 4 Multi-Digit Multiplication and Division with One Divisor Unit of Instruction This is a progressive unit of instruction beginning with students investigating the concrete area model of fraction

### 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

### 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

### Common Core Standards for Fantasy Sports Worksheets. Page 1

Scoring Systems Concept(s) Integers adding and subtracting integers; multiplying integers Fractions adding and subtracting fractions; multiplying fractions with whole numbers Decimals adding and subtracting

### 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

TM parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE FIVE 5 America s schools are working to provide higher quality instruction than ever before. The way we taught students in the past simply does

### Overview. Essential Questions. Grade 4 Mathematics, Quarter 4, Unit 4.1 Dividing Whole Numbers With Remainders

Dividing Whole Numbers With Remainders Overview Number of instruction days: 7 9 (1 day = 90 minutes) Content to Be Learned Solve for whole-number quotients with remainders of up to four-digit dividends

### Mathematics. Curriculum Content for Elementary School Mathematics. Fulton County Schools Curriculum Guide for Elementary Schools

Mathematics Philosophy Mathematics permeates all sectors of life and occupies a well-established position in curriculum and instruction. Schools must assume responsibility for empowering students with

### Activity 1: Using base ten blocks to model operations on decimals

Rational Numbers 9: Decimal Form of Rational Numbers Objectives To use base ten blocks to model operations on decimal numbers To review the algorithms for addition, subtraction, multiplication and division

### Multiplying and Dividing Decimals ALPHA VERSION OCTOBER 2012 Grade 5

Multiplying and Dividing Decimals ALPHA VERSION OCTOBER 2012 Grade 5 Mathematics Formative Assessment Lesson Designed by Kentucky Department of Education Mathematics Specialists to be Field-tested by Kentucky

### 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

### Number Systems I. CIS008-2 Logic and Foundations of Mathematics. David Goodwin. 11:00, Tuesday 18 th October

Number Systems I CIS008-2 Logic and Foundations of Mathematics David Goodwin david.goodwin@perisic.com 11:00, Tuesday 18 th October 2011 Outline 1 Number systems Numbers Natural numbers Integers Rational

### Number: Multiplication and Division with Reasoning

count in multiples of twos, fives and tens (copied from Number and Number: Multiplication and Division with Reasoning MULTIPLICATION & DIVISION FACTS Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 count in

### A Prime Investigation with 7, 11, and 13

. Objective To investigate the divisibility of 7, 11, and 13, and discover the divisibility characteristics of certain six-digit numbers A c t i v i t y 3 Materials TI-73 calculator A Prime Investigation

### I am getting ready for Thanksgiving and need some help desperately! I would like some advice on cooking my turkey.

I am getting ready for Thanksgiving and need some help desperately! I would like some advice I bought a 16 1/2 pound turkey. The cookbook says to cook the turkey for 20 minutes per pound if it is unstuffed

### MULTIPLICATION AND DIVISION OF REAL NUMBERS In this section we will complete the study of the four basic operations with real numbers.

1.4 Multiplication and (1-25) 25 In this section Multiplication of Real Numbers Division by Zero helpful hint The product of two numbers with like signs is positive, but the product of three numbers with

### Lesson Plan Shipping Grade 6 Solving Equations

CCSSM: Grade 6 DOMAIN: Expressions and Equations Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions. Standard: 6.EE.2 Write, read, and evaluate expressions in which

### 3.4 Multiplication and Division of Rational Numbers

3.4 Multiplication and Division of Rational Numbers We now turn our attention to multiplication and division with both fractions and decimals. Consider the multiplication problem: 8 12 2 One approach is

### FBLA Introduction to Financial Math aligned with Common Core 6.14

FBLA: Introduction to Financial Math Competency: Basic Math Concepts CCSS Standards Addressed Description 1. Develop fluency in addition, subtraction, multiplication, and division of basic operations with

### Expressions and Equations

Expressions and Equations Standard: CC.6.EE.2 Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation Subtract y from 5 as 5 y.

### Students are able to represent and solve problems involving multiplication and division.

Grade 3 Learning Targets and I Can Statements Operations and Algebraic Thinking Students are able to represent and solve problems involving multiplication and division. o I understand the product of multiplication

### ARITHMETIC. Overview. Testing Tips

ARITHMETIC Overview The Arithmetic section of ACCUPLACER contains 17 multiple choice questions that measure your ability to complete basic arithmetic operations and to solve problems that test fundamental

### Grade 6 Grade-Level Goals. Equivalent names for fractions, decimals, and percents. Comparing and ordering numbers

Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation

### INTRODUCTION TO FRACTIONS

Tallahassee Community College 16 INTRODUCTION TO FRACTIONS Figure A (Use for 1 5) 1. How many parts are there in this circle?. How many parts of the circle are shaded?. What fractional part of the circle

### Chapter 1: Order of Operations, Fractions & Percents

HOSP 1107 (Business Math) Learning Centre Chapter 1: Order of Operations, Fractions & Percents ORDER OF OPERATIONS When finding the value of an expression, the operations must be carried out in a certain

### Rules of Signs for Decimals

CHAPTER 6 C Rules of Signs for Decimals c GOAL Apply the rules of signs for calculating with decimals. You will need number lines a calculator with a sign change key Learn about the Math Positive and negative

### Division with Whole Numbers and Decimals

Grade 5 Mathematics, Quarter 2, Unit 2.1 Division with Whole Numbers and Decimals Overview Number of Instructional Days: 15 (1 day = 45 60 minutes) Content to be Learned Divide multidigit whole numbers

### ARITHMETIC CONCEPTS STUDY GUIDE (with answers)

ARITHMETIC CONCEPTS STUDY GUIDE (with answers) (Note: calculators are not allowed when taking Accuplacer) Add, subtract, multiply, and divide whole numbers (# s like 2, 58, 39, etc.), fractions (# s like

### BPS Math Year at a Glance (Adapted from A Story Of Units Curriculum Maps in Mathematics K-5) 1

Grade 4 Key Areas of Focus for Grades 3-5: Multiplication and division of whole numbers and fractions-concepts, skills and problem solving Expected Fluency: Add and subtract within 1,000,000 Module M1:

### Solving Linear Equations - Fractions

1.4 Solving Linear Equations - Fractions Objective: Solve linear equations with rational coefficients by multiplying by the least common denominator to clear the fractions. Often when solving linear equations

### 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

### Numbers and Operations in Base 10 and Numbers and Operations Fractions

Numbers and Operations in Base 10 and Numbers As the chart below shows, the Numbers & Operations in Base 10 (NBT) domain of the Common Core State Standards for Mathematics (CCSSM) appears in every grade

### Mathematics. Mathematical Practices

Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with

### 6 th Grade Proportions and Ratios 60 minute connection 2 sites per connection. Classroom Preparation. Program Description. Learning Objectives*

6 th Grade Proportions and Ratios 60 minute connection 2 sites per connection Program Description Math Mania Proportions and Ratios reviews the mathematical concepts of multiplication, division, ratios,

### 2012 Autism Institute June 18, 2012

1 2012 Autism Institute June 18, 2012 Aligning IEPs to the Common Core State Standards for Students with Moderate and Severe Disabilities Ginevra Courtade, Ph.D. University of Louisville Excerpted from:

### California Pedestrian and Bicycle Safety Curriculum for Grades 4 and 5 Online Training

California Pedestrian and Bicycle Safety Curriculum for Grades 4 and 5 Online Training A project of the California Healthy Kids and After School Resource Center and the California Safe Routes to School

### The student will be able to... The teacher will... SKILLS/CONCEPTS K

MATHEMATCS Subject Area: Component V: MATHEMATCS WHOLE NUMBER SENSE ndiana Academic Standard 1: Number Sense and Computation Understanding the number system is the basis of mathematics. Students develop

### YOU MUST BE ABLE TO DO THE FOLLOWING PROBLEMS WITHOUT A CALCULATOR!

DETAILED SOLUTIONS AND CONCEPTS - DECIMALS AND WHOLE NUMBERS Prepared by Ingrid Stewart, Ph.D., College of Southern Nevada Please Send Questions and Comments to ingrid.stewart@csn.edu. Thank you! YOU MUST

### Number Systems and Radix Conversion

Number Systems and Radix Conversion Sanjay Rajopadhye, Colorado State University 1 Introduction These notes for CS 270 describe polynomial number systems. The material is not in the textbook, but will

### Mathematics Instructional Cycle Guide

Mathematics Instructional Cycle Guide Dividing Fractions 6.NS.1 Created by Mary Kay Rendock, 2014 Connecticut Dream Team Teacher 1 CT CORE STANDARDS This Instructional Cycle Guide relates to the following

### Section 1.5 Arithmetic in Other Bases

Section Arithmetic in Other Bases Arithmetic in Other Bases The operations of addition, subtraction, multiplication and division are defined for counting numbers independent of the system of numeration

### Recall the process used for adding decimal numbers. 1. Place the numbers to be added in vertical format, aligning the decimal points.

2 MODULE 4. DECIMALS 4a Decimal Arithmetic Adding Decimals Recall the process used for adding decimal numbers. Adding Decimals. To add decimal numbers, proceed as follows: 1. Place the numbers to be added

### Oct: 50 8 = 6 (r = 2) 6 8 = 0 (r = 6) Writing the remainders in reverse order we get: (50) 10 = (62) 8

ECE Department Summer LECTURE #5: Number Systems EEL : Digital Logic and Computer Systems Based on lecture notes by Dr. Eric M. Schwartz Decimal Number System: -Our standard number system is base, also

### Summer Assignment for incoming Fairhope Middle School 7 th grade Advanced Math Students

Summer Assignment for incoming Fairhope Middle School 7 th grade Advanced Math Students Studies show that most students lose about two months of math abilities over the summer when they do not engage in

### Lesson 3: Using Inequalities to Problem Solve

Lesson 3: Using Inequalities to Problem Solve Selected Content Standards Benchmarks Addressed: N-1-M Demonstrating that a rational number can be expressed in many forms, and selecting an appropriate form

### 100 which when written as a decimal is 0.06.

Solve the following problem. Session 28 Decimal Multiplication and Division Find the electric bill for 370 kwh s of electricity from Red River Region Co-op, which charges 0.094 dollars per kilowatt-hour

### CCSS-M Critical Areas: Kindergarten

CCSS-M Critical Areas: Kindergarten Critical Area 1: Represent and compare whole numbers Students use numbers, including written numerals, to represent quantities and to solve quantitative problems, such

### Mathematics Interim Assessment Blocks Blueprint V

6-7 Blueprint V.5.7.6 The Smarter Balanced Interim Assessment Blocks (IABs) are one of two distinct types of interim assessments being made available by the Consortium; the other type is the Interim Comprehensive

### Lesson Plan. N.RN.3: Use properties of rational and irrational numbers.

N.RN.3: Use properties of rational irrational numbers. N.RN.3: Use Properties of Rational Irrational Numbers Use properties of rational irrational numbers. 3. Explain why the sum or product of two rational

### Grade 5 Math Content 1

Grade 5 Math Content 1 Number and Operations: Whole Numbers Multiplication and Division In Grade 5, students consolidate their understanding of the computational strategies they use for multiplication.

### Welcome to Basic Math Skills!

Basic Math Skills Welcome to Basic Math Skills! Most students find the math sections to be the most difficult. Basic Math Skills was designed to give you a refresher on the basics of math. There are lots

### 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

### 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

### ADDITION. Children should extend the carrying method to numbers with at least four digits.

Y5 AND Y6 ADDITION Children should extend the carrying method to numbers with at least four digits. 587 3587 + 475 + 675 1062 4262 1 1 1 1 1 Using similar methods, children will: add several numbers with

### 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.

### Multiplying and Dividing Signed Numbers. Finding the Product of Two Signed Numbers. (a) (3)( 4) ( 4) ( 4) ( 4) 12 (b) (4)( 5) ( 5) ( 5) ( 5) ( 5) 20

SECTION.4 Multiplying and Dividing Signed Numbers.4 OBJECTIVES 1. Multiply signed numbers 2. Use the commutative property of multiplication 3. Use the associative property of multiplication 4. Divide signed

### Section 4.1 Rules of Exponents

Section 4.1 Rules of Exponents THE MEANING OF THE EXPONENT The exponent is an abbreviation for repeated multiplication. The repeated number is called a factor. x n means n factors of x. The exponent tells

### 6 th Grade Math. Understand ratio concepts and use ratio reasoning to solve problems.

6 th Grade Math Understand ratio concepts and use ratio reasoning to solve problems. 6.RP.A.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

### Free Pre-Algebra Lesson 55! page 1

Free Pre-Algebra Lesson 55! page 1 Lesson 55 Perimeter Problems with Related Variables Take your skill at word problems to a new level in this section. All the problems are the same type, so that you can

### Big Ideas in Mathematics

Big Ideas in Mathematics which are important to all mathematics learning. (Adapted from the NCTM Curriculum Focal Points, 2006) The Mathematics Big Ideas are organized using the PA Mathematics Standards

### Accuplacer Arithmetic Study Guide

Accuplacer Arithmetic Study Guide Section One: Terms Numerator: The number on top of a fraction which tells how many parts you have. Denominator: The number on the bottom of a fraction which tells how

### Florida Math 0018. Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies - Lower

Florida Math 0018 Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies - Lower Whole Numbers MDECL1: Perform operations on whole numbers (with applications, including

### Common Core Standards for Mathematics Grade 4 Operations & Algebraic Thinking Date Taught

Operations & Algebraic Thinking Use the four operations with whole numbers to solve problems. 4.OA.1. Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 7 as a statement that 35

### 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),

### Pre-Algebra Class 3 - Fractions I

Pre-Algebra Class 3 - Fractions I Contents 1 What is a fraction? 1 1.1 Fractions as division............................... 2 2 Representations of fractions 3 2.1 Improper fractions................................

### 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.

### Content Emphases for Grade 7 Major Cluster 70% of time

Critical Area: Geometry Content Emphases for Grade 7 Major Cluster 70% of time Supporting Cluster 20% of Time Additional Cluster 10% of Time 7.RP.A.1,2,3 7.SP.A.1,2 7.G.A.1,2,3 7.NS.A.1,2,3 7.SP.C.5,6,7,8

### Grade 5 Math PA Core Standards - CC.2: PA Core: Mathematics. Eligible Content

Grade 5 Math PA Core Standards - CC.2: PA Core: Mathematics Eligible Content Standard Area - CC.2.1: Numbers and Operations Standard - CC.2.1.5.B.1: Apply place value to show an understanding of operations

### Vocabulary, Signs, & Symbols product dividend divisor quotient fact family inverse. Assessment. Envision Math Topic 1

1st 9 Weeks Pacing Guide Fourth Grade Math Common Core State Standards Objective/Skill (DOK) I Can Statements (Knowledge & Skills) Curriculum Materials & Resources/Comments 4.OA.1 4.1i Interpret a multiplication

### InarecentissueoftheJournal for Mathematics Education

Standard Algorithms in the Common Core State Standards Karen C. Fuson, Northwestern University Sybilla Beckmann, University of Georgia InarecentissueoftheJournal for Mathematics Education Leadership comparing

### Florida Department of Education/Office of Assessment January 2012. Grade 7 FCAT 2.0 Mathematics Achievement Level Descriptions

Florida Department of Education/Office of Assessment January 2012 Grade 7 FCAT 2.0 Mathematics Grade 7 FCAT 2.0 Mathematics Reporting Category Geometry and Measurement Students performing at the mastery

### Chapter 2. Binary Values and Number Systems

Chapter 2 Binary Values and Number Systems Numbers Natural numbers, a.k.a. positive integers Zero and any number obtained by repeatedly adding one to it. Examples: 100, 0, 45645, 32 Negative numbers A

### 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

Algorithm Project U.S. Traditional Objective To introduce U.S. traditional subtraction. www.everydaymathonline.com etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management

### Three Types of Percent Problems

6.4 Three Types of Percent Problems 6.4 OBJECTIVES. Find the unknown amount in a percent problem 2. Find the unknown rate in a percent problem 3. Find the unknown base in a percent problem From your work

### What Is Singapore Math?

What Is Singapore Math? You may be wondering what Singapore Math is all about, and with good reason. This is a totally new kind of math for you and your child. What you may not know is that Singapore has

### 2. Perform the division as if the numbers were whole numbers. You may need to add zeros to the back of the dividend to complete the division

Math Section 5. Dividing Decimals 5. Dividing Decimals Review from Section.: Quotients, Dividends, and Divisors. In the expression,, the number is called the dividend, is called the divisor, and is called

### Useful Number Systems

Useful Number Systems Decimal Base = 10 Digit Set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} Binary Base = 2 Digit Set = {0, 1} Octal Base = 8 = 2 3 Digit Set = {0, 1, 2, 3, 4, 5, 6, 7} Hexadecimal Base = 16 = 2

### 5 th Grade Common Core State Standards. Flip Book

5 th Grade Common Core State Standards Flip Book This document is intended to show the connections to the Standards of Mathematical Practices for the content standards and to get detailed information at

### Consumer Math 15 INDEPENDENT LEAR NING S INC E 1975. Consumer Math

Consumer Math 15 INDEPENDENT LEAR NING S INC E 1975 Consumer Math Consumer Math ENROLLED STUDENTS ONLY This course is designed for the student who is challenged by abstract forms of higher This math. course

### Balancing Chemical Equations

Balancing Chemical Equations A mathematical equation is simply a sentence that states that two expressions are equal. One or both of the expressions will contain a variable whose value must be determined

### MANCHESTER COLLEGE Department of Education. Length: 25 minutes Grade Intended: Pre-Algebra (7 th )

LESSON PLAN by: Kyler Kearby Lesson: Multiplying and dividing integers MANCHESTER COLLEGE Department of Education Length: 25 minutes Grade Intended: Pre-Algebra (7 th ) Academic Standard: 7.2.1: Solve

### 3rd Grade Texas Mathematics: Unpacked Content

3rd Grade Texas Mathematics: Unpacked Content What is the purpose of this document? To increase student achievement by ensuring educators understand specifically what the new standards mean a student must

### Common Core State Standards

Common Core State Standards Common Core State Standards 7.NS.2 7.NS.2d 7.EE.3 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

### 2 is the BASE 5 is the EXPONENT. Power Repeated Standard Multiplication. To evaluate a power means to find the answer in standard form.

Grade 9 Mathematics Unit : Powers and Exponent Rules Sec.1 What is a Power 5 is the BASE 5 is the EXPONENT The entire 5 is called a POWER. 5 = written as repeated multiplication. 5 = 3 written in standard

### SBI Lesson Objectives Common Core Standards MN State standards Lesson 1: Ratios

The Project MARS curriculum consists of 21 lessons designed to be implemented over a 6 week instructional period. The following chart outlines each lesson and how it aligns with Minnesota state standards

### Florida Math 0028. Correlation of the ALEKS course Florida Math 0028 to the Florida Mathematics Competencies - Upper

Florida Math 0028 Correlation of the ALEKS course Florida Math 0028 to the Florida Mathematics Competencies - Upper Exponents & Polynomials MDECU1: Applies the order of operations to evaluate algebraic

### Subtraction of Multidigit Numbers

Subtraction of Multidigit Numbers Objectives To review the trade-first and counting-up methods, and to introduce the partial-differences method of solving multidigit subtraction problems; and to provide

### From the Webisode: Math Meets Fashion

lesson CCSS CONNECTIONS Percent Markups From the Webisode: Math Meets Fashion In this lesson, s solve a multi-step problem by identifying percent markups of a whole and calculating a final sale price.

9. Operations with Radicals (9 1) 87 9. OPERATIONS WITH RADICALS In this section Adding and Subtracting Radicals Multiplying Radicals Conjugates In this section we will use the ideas of Section 9.1 in

### Van de Walle (2007) describes divid ing one fraction by another in this way: Invert the divisor and multiply

6 Rich and Engaging Mathematical Tasks: Grades 5 9 Measurement and Fair-Sharing Models for Dividing Fractions Jeff Gregg and Diana Underwood Gregg Van de Walle (007) describes divid ing one fraction by

### 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.

### Lesson Plan -- Percent of a Number/Increase and Decrease

Lesson Plan -- Percent of a Number/Increase and Decrease Chapter Resources - Lesson 4-11 Find a Percent of a Number - Lesson 4-11 Find a Percent of a Number Answers - Lesson 4-12 Percent of Increase and

Academic Standards for Grades Pre K High School Pennsylvania Department of Education INTRODUCTION The Pennsylvania Core Standards in in grades PreK 5 lay a solid foundation in whole numbers, addition,

### Math Common Core Standards Fourth Grade

Operations and Algebraic Thinking (OA) Use the four operations with whole numbers to solve problems. OA.4.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 7 as a statement