# Common Core State Standards

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 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. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making \$25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or \$2.50, for a new salary of \$ If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation. Mathematical Practices 1, 3, and 4 are aspects of mathematical thinking that are emphasized in every lesson. Students are given opportunities to be persistent in their problem solving, to express their reasoning, and apply mathematics to realworld situations. Exercises 18, 20, and 21 focus on Mathematical Practice 1 Make sense of problems and persevere in solving them. Exercises 19 focuses on Mathematical Practice 7 Look for and make use of structure. Exercise 22 focuses on Mathematical Practice 3 Construct viable arguments and critique the reasoning of others. Exercise 23 focuses on Mathematical Practice 4 Model with mathematics. Exercise 35 focuses on Mathematical Practice 6 Attend to precision. Printed by: Nicole Sladich Page 1 of 14 Printed on 11/04/ :13 PM

2 1 Launch the Lesson Focus narrowing the scope Objective Write fractions as terminating or repeating decimals and write decimals as fractions. 7.NS.2, 7.NS.2d, 7.EE.3 Coherence Previous Students used models to describe relationships between rational numbers. connecting within and across grades Now Students write rational numbers as decimals and fractions. Next Students compare and order rational numbers by writing them in the same form. Rigor pursuing concepts, fluency, and applications See the Levels of Complexity chart in the Practice and Apply section. Lesson Vocabulary repeating decimal bar notation terminating decimal As students enter the classroom, have them complete the Common Core Quick Check to review and assess the skills presented in the previous lesson. Engage Explore Explain Elaborate Evaluate Ideas for Use You may wish to launch the lesson using a whole group, small group, think-pair-share activity, or independent activity. Pairs Discussion Have students work in pairs to create and match (face-up) fraction and decimal cards that have equivalent values. 1, 5 Alternate Strategy Have students work in pairs to create a fractiondecimal equivalence chart with denominators 2 10 to detect a pattern for terminating and repeating decimals 1, 8 Resources Common Core Quick Check: Terminating and Repeating Decimals Printed by: Nicole Sladich Page 2 of 14 Printed on 11/04/ :13 PM

3 2 Teach the Concept Focus: Mathematical Background When the denominator of a fraction is a factor or a multiple of 10, the fraction can be written as a decimal by using mental math and place value. For classroom presentation, use the Step-by-Step Examples to demonstrate the examples from the Student Edition. Engage Explore Explain Elaborate Evaluate Ask the scaffolded questions for each example to differentiate instruction. 1. Write fractions as decimals. What is in word form? seventy-four hundredths Is the denominator a power of 10? Explain. yes; 100 = 10 2 How many decimal places will have to the right of the decimal point? 2 If was written in simplest form, could you still write it as the same decimal? yes; = 0.74 Need Another Example? Write as a decimal Write fractions as decimals. Is 20 a power of 10? Explain. no; 20 is a multiple of 10 How can you write as a decimal? Write an equivalent fraction with a denominator that is a power of 10. What is another way to write as a decimal? Sample answer: Divide the numerator by the denominator. Printed by: Nicole Sladich Page 3 of 14 Printed on 11/04/ :13 PM

4 How do you know that your answer is correct? Sample answer: Simplify the fraction to yield. Need Another Example? Write as a decimal Write mixed numbers as decimals. What place value will 5 represent in the decimal? ones How can you think of a mixed number as a sum? A mixed number is the sum of the whole number part and the fraction part. Describe another way you could write as a decimal. Sample answer: Write it as an improper fraction. Then divide the numerator by the denominator. Need Another Example? Write as a decimal Write fractions as decimals using division. Which number will be the dividend? the numerator, 3 Why do we annex zeros after 3? 12 is greater than 3 What type of decimal is 0.375? terminating Why did the division stop? The remainder was zero. Write the fractions,,,,, and, as decimals. Then describe the pattern , 0.25, 0.5, 0.625, 0.75, 0.875; Sample answer: Each decimal increases by for every numerator increase of 1, when the denominator is 8. Need Another Example? Write as a decimal Write fractions as decimals using division. Printed by: Nicole Sladich Page 4 of 14 Printed on 11/04/ :13 PM

5 Is the decimal negative or positive? negative Can we divide without the negative sign? yes; Then place the negative sign in the answer. What type of decimal is 0.025? terminating Why did the division stop? The remainder was zero. Is there another method to use? Yes, write an equivalent fraction with the denominator as a power of 10 (103). Need Another Example? Write as a decimal Write a fraction as a repeating decimal. Why will the division never end? The digit 7 repeats, so there will always be a remainder. How can you indicate that a decimal repeats? use bar notation over the repeating number(s) Describe another method to use. Sample answer: When the denominator of a fraction is 9, the resulting decimal repeats the digit of the numerator. Need Another Example? Write as a decimal. 7. Write a decimal as a fraction. What decimal represents the amount of goldfish? 0.15 Express this decimal in word form. fifteen hundredths How can you write fifteen hundredths as a fraction in simplest form? Place the numerator 15 over the denominator 100 and then divide both by their GCF, 5. What percentage of fish in the aquarium are Molly fish? Explain. 0.2 = or 20% What type of fish is the most common in the tank? Explain. Angelfish; 0.40 is the greatest value in the chart. Need Another Example? Jorge read that the part of his favorite cereal that was whole grain wheat is Determine what fraction of his cereal is whole grain wheat. Write in simplest form. Use the animation Terminating Decimals with Example 7. Printed by: Nicole Sladich Page 5 of 14 Printed on 11/04/ :13 PM

6 1. 2. Alternate Teaching Strategy If students do not understand changing mixed numbers to decimals, Then use one of these reteach options: Quick Review Math Handbook, pp Have students change the mixed number to an improper fraction and then divide the numerator by the denominator. Formative Assessment Use these exercises to assess students' understanding of the concepts in this lesson. below. If some of your students are not ready for assignments, use the differentiated activities Roundrobin Have students go around in a circle verbally generating common fraction-decimal equivalents. 1, 7 Trade-a-Problem Have students write their own real-world problem that requires writing a fraction-decimal equivalent. Have them trade with a partner to solve each other s problem. Have them verbally discuss and resolve any differences. 1, 4, 7 Tips for New Teachers Mental Math Encourage students to use mental math whenever possible when writing fractions as decimals. Have them first ask themselves whether the denominator of a fraction is a factor of 10 (or of 100 or 1,000). If it is, by what number can they multiply the denominator to get a power of ten? Once they multiply the numerator and denominator by that number, they will have an equivalent fraction that can be written as a decimal by using place value. Resources Virtual Manipulatives Terminating Decimals Fractions as Decimals Fractions as Decimals Mixed Numbers as Decimals Write a Fraction as a Decimal Using Division Write a Fraction as a Decimal Using Division Write a Fraction as a Repeating Decimal Real-World Example: Write a Decimal as a Fraction Use Mental Math: Fractions as Decimals Use Division: Fractions as Decimals Use Division: Fractions as Decimals Write a Repeating Decimal Write Fractions as Repeating Decimals Write Fractions as Repeating Decimals Real-World Example: Write a Decimal as a Fraction etoolkit Hot Topic 2-5: Naming and Ordering Decimals Printed by: Nicole Sladich Page 6 of 14 Printed on 11/04/ :13 PM

7 3 Practice & Apply Engage Explore Explain Elaborate Evaluate Independent Practice and Extra Practice The Independent Practice pages are meant to be used as the homework assignment. The Extra Practice page can be used for additional reinforcement or as a second-day assignment. Levels of Complexity The levels of the exercises progress from 1 to 3, with Level 1 indicating the lowest level of complexity. Suggested Assignments You can use the table below that includes exercises of all complexity levels to select appropriate exercises for your students' needs. Differentiated Homework Options Approaching Level 1 17, 19, 22, 23, 36, 37 On Level 1 17 odd, 18, 19, 22, 23, 36, 37 Beyond Level 18 23, 36, 37 practice. can provide additional remediation support with personalized instruction and Create Your Own Homework Online esolutionsmanual can be used to create worksheets for the suggested assignments above, or to create your own worksheets for differentiated homework or review. The following worksheets are also available for additional homework practice: The Skills Practice editable worksheet provides students with additional practice in the skills taught in this lesson. The Homework Practice editable worksheet helps students practice skills in this lesson and use those skills to solve problems. The Problem-Solving Practice editable worksheet helps students become better problem solvers by providing frequent opportunities to solve real-world problems. The Extra Practice worksheet provides additional practice for the skills taught in this lesson. The Step-by-Step Solutions provide a worked out solution for selected exercises from the Independent Practice in the Student Edition. Printed by: Nicole Sladich Page 7 of 14 Printed on 11/04/ :13 PM

8 Common Error Students may have trouble with bar placement on repeating digits. Have students circle the repeating digits in the quotient and only place the bar over the circled digits. Resources Step by Step Solutions: Terminating and Repeating Decimals Skills Practice: Terminating and Repeating Decimals Skills Practice Answers: Terminating and Repeating Decimals Homework Practice: Terminating and Repeating Decimals Homework Practice Answers: Terminating and Repeating Decimals Problem-Solving Practice: Terminating and Repeating Decimals Problem-Solving Practice Answers: Terminating and Repeating Decimals Extra Practice: Terminating and Repeating Decimals Extra Practice Answers, Chapter 4 Homework Practice: Terminating and Repeating Decimals Problem-Solving Practice: Terminating and Repeating Decimals Skills Practice: Terminating and Repeating Decimals Extra Practice: Terminating and Repeating Decimals esolutions, Glencoe Math Course 2 Printed by: Nicole Sladich Page 8 of 14 Printed on 11/04/ :13 PM

9 Additional Activities for Differentiated Instruction Differentiated Instruction activities for Approaching Level, On Level, and Beyond Level Learners can also be found at point-of-use in the Launch the Lesson and Teach the Concept sections. The following are additional activities that can be used with this lesson. Option 1: Visual/Spatial Learners It may be helpful to use a common fraction such as when showing students how to write a fraction as a decimal using division. Using a fraction whose decimal equivalent they already know will allow students to feel confident with the division steps and to make connections. The Reteach Worksheet provides additional examples and practice for students who may have difficulty in grasping the math concepts in this lesson. Option 2: Kinesthetic Learners Materials: index cards Prepare enough index cards for the class so that half of the students will receive a card with a fraction written on it and half the class will receive a card with a decimal (terminating or repeating) equivalent for one of the fractions written on it. Have students move around the room to find the matching form of their number. Option 3: Interpersonal Learners Separate the class into groups of two to three students. Have students choose between using mental math, paper and pencil, or a calculator for each exercise in the Got It? section. As they complete each exercise, have them discuss whether or not their method was the most efficient or appropriate. Encourage them to use mental math whenever possible. For example, in Exercise 1, mental math is appropriate because the denominator, 5, is a factor of 10. Since 5 2 = 10, multiply the numerator by 2 as well. Since 2 2 = 4, the fraction is equivalent to 4 tenths, or 0.4. In Exercise 7, either paper and pencil or a calculator are appropriate since the denominator, 9, is not a factor of 100. Option 4: Logical Learners Have students find the decimal equivalents of. Have them predict the decimal equivalents for. Have students explain their predictions. Then based on those predictions, have students predict the decimal equivalent of. Ask: Printed by: Nicole Sladich Page 9 of 14 Printed on 11/04/ :13 PM

10 If any number divided by itself equals 1, why does seem to be equal to? As the digit 9 of repeats infinitely, gets closer to 1. The Enrich Worksheet provides students with valuable opportunities for extending this lesson. Resources Reteach: Terminating and Repeating Decimals Reteach Answers: Terminating and Repeating Decimals Enrich: Writing Repeating Decimals as Fractions Enrich Answers: Writing Repeating Decimals as Fractions Reteach: Terminating and Repeating Decimals Enrich: Writing Repeating Decimals as Fractions Printed by: Nicole Sladich Page 10 of 14 Printed on 11/04/ :13 PM

11 Additional Activities for English Learners Differentiated Instruction activities for English Learners can also be found at point-of-use in the Launch the Lesson and Teach the Concept sections. The following are additional activities that can be used with this lesson. Option 1: Use Chapter 4, from the Interactive Guide for English Learners. Option 2: Logical Learners Materials: index cards Make index cards with different representations of division problems. Have students identify the dividend and the divisor in each of the different representations. Word Wall Printable English/Spanish Word Wall cards are available for the following vocabulary words in this lesson: bar notation repeating decimal terminating decimal Resources Word Wall Cards Interactive Guide for English Learners, Student Edition, Course 2, Lesson 4-1: Terminating and Repeating Decimals Interactive Guide for English Learners, Teacher Edition, Course 2, Lesson 4-1: Terminating and Repeating Decimals Interactive Guide for English Learners, Course 2, Teacher Edition Interactive Guide for English Learners, Course 2, Student Edition Visual Kinesthetic Vocabulary, Course 2, Student Edition Visual Kinesthetic Vocabulary, Course 2, Teacher Edition Printed by: Nicole Sladich Page 11 of 14 Printed on 11/04/ :13 PM

12 Assessment Formative Assessment Use this activity as a closing formative assessment before dismissing students from your class. Tell students that the next lesson will be about comparing and ordering rational numbers. Have them write how they think what they learned in this lesson will connect with the next lesson. Give them the following writing prompts. In this lesson, I learned In this lesson, I learned What I learned in this lesson will help me in the next lesson because See students' work. The online Self-Check Quiz for this lesson allows students to review concepts from each lesson. Exercises 36 and 37 prepare students for more rigorous thinking needed when taking the CCSS assessment. 36. This test item requires students to explain and apply mathematical concepts and solve problems with precision, while making use of structure. Depth of Knowledge CCSS Content Standard Mathematical Practices Online Experience DOK1 7.NS.2d, 7.EE.3 MP1, MP6, MP7 Students select and drag the correct answers to the table. Scoring Rubric 2 points Students correctly identify each decimal equivalent. 1 point Students correctly identify 2-3 decimal equivalents. 37. This test item requires students to explain and apply mathematical concepts and solve problems with precision, while making use of structure. Depth of Knowledge CCSS Content Standard Mathematical Practices Online Experience DOK1 7.EE.3 MP1, MP6 Students will be required to click on the bubbles to select all answers that are correct. Scoring Rubric 1 point Students correctly answer the question. Printed by: Nicole Sladich Page 12 of 14 Printed on 11/04/ :13 PM

13 Quick Check Are students continuing to struggle with terminating and repeating decimals? If Yes Reteach Worksheet If No Differentiated Instruction Option 1 Skills Practice Worksheet Differentiated Instruction Options 2 and 3 Enrich Worksheet Differentiated Instruction Option 4 Resources Self-Check Quiz: Terminating and Repeating Decimals Printed by: Nicole Sladich Page 13 of 14 Printed on 11/04/ :13 PM

14 Printed by: Nicole Sladich Page 14 of 14 Printed on 11/04/ :13 PM

### , Seventh Grade Math, Quarter 2

2016.17, Seventh Grade Math, Quarter 2 The following practice standards will be used throughout the quarter: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively.

### Pre-Algebra Curriculum Map 8 th Grade Unit 1 Integers, Equations, and Inequalities

Key Skills and Concepts Common Core Math Standards Unit 1 Integers, Equations, and Inequalities Chapter 1 Variables, Expressions, and Integers 12 days Add, subtract, multiply, and divide integers. Make

### Unit 1 Number Sense. In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions.

Unit 1 Number Sense In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions. BLM Three Types of Percent Problems (p L-34) is a summary BLM for the material

### PETERS TOWNSHIP SCHOOL DISTRICT CORE BODY OF KNOWLEDGE MATH GRADE 5

PETERS TOWNSHIP SCHOOL DISTRICT CORE BODY OF KNOWLEDGE MATH GRADE 5 For each of the sections that follow, students may be required to understand, apply, analyze, evaluate or create the particular concepts

### Name Period Date MATHLINKS: GRADE 7 STUDENT PACKET 1 FRACTIONS AND DECIMALS

Name Period Date 7- STUDENT PACKET MATHLINKS: GRADE 7 STUDENT PACKET FRACTIONS AND DECIMALS. Terminating Decimals Convert between fractions and terminating decimals. Compute with simple fractions.. Repeating

### Overview. Essential Questions. Grade 5 Mathematics, Quarter 3, Unit 3.2 Multiplying and Dividing With Decimals

Multiplying and Dividing With Decimals Overview Number of instruction days: 9 11 (1 day = 90 minutes) Content to Be Learned Multiply decimals to hundredths. Divide decimals to hundredths. Use models, drawings,

### Vocabulary: Distributive property Simplify Like terms Solution Inverse operations

Targeted Content Standard(s): 8.EE.7 Solve linear equations in one variable. a) Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which

### Improper Fractions and Mixed Numbers

This assignment includes practice problems covering a variety of mathematical concepts. Do NOT use a calculator in this assignment. The assignment will be collected on the first full day of class. All

### Conceptual Understanding of Operations of Integers

Grade 7 Mathematics, Quarter 2, Unit 2.1 Conceptual Understanding of Operations of Integers Overview Number of instructional days: 10 (1 day = 45 60 minutes) Content to be learned Demonstrate conceptual

### *Converting Fractions to Decimals

*Converting Fractions to Decimals In this task, students will convert fractions to decimals. Back to task table STANDARDS FOR MATHEMATICAL CONTENT MGSE7.NS.2 Apply and extend previous understandings of

### Grade 7 Math The Number System Grade 7 Math Grade 7 Math Start Date: August 30, 2012 End Date : September 28, 2012

Unit Overview Students will be able to: describe real life situations for quantities that combine to make zero understand the distance between two on a number line show how opposites have a sum of zero

### 1-1. Solving Multi-Step Equations. UNPACKING the TEKS. content Student expectations. Objective. Preparing to Teach. Teacher Resources.

Solving Multi-Step Equations UNPACKING the TEKS IN this LESSON content Student expectations In this lesson you will focus on TEKS (5)(A) and (1)(A). (5)(A) Solve linear equations in one variable, including

### Operations on Decimals

Operations on Decimals Addition and subtraction of decimals To add decimals, write the numbers so that the decimal points are on a vertical line. Add as you would with whole numbers. Then write the decimal

### About Singapore Math. Fewer Topics; More Depth. Start with the Concrete. vii

About Singapore MATH About Singapore Math This math course is based on the textbook series Math in Focus, which was developed using the principles of the highly successful Singapore math program. Singapore

### Exponents, Factors, and Fractions. Chapter 3

Exponents, Factors, and Fractions Chapter 3 Exponents and Order of Operations Lesson 3-1 Terms An exponent tells you how many times a number is used as a factor A base is the number that is multiplied

### 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

### Saxon Math Home School Edition. September 2008

Saxon Math Home School Edition September 2008 Saxon Math Home School Edition Lesson 4: Comparing Whole Lesson 5: Naming Whole Through Hundreds, Dollars and Cent Lesson 7: Writing and Comparing Through

### 1-4. Solving Proportions. UNPACKING the TEKS. content Student expectations. Objective. Preparing to Teach. Teacher Resources.

UNPACKING the TEKS IN this LESSON ELPS content Student expectations In this lesson you will focus on TEKS (5)(A). Prepares for (2)(D). (5)(A) Solve linear equations in one variable, including those for

### ( ) 4, how many factors of 3 5

Exponents and Division LAUNCH (9 MIN) Before Why would you want more than one way to express the same value? During Should you begin by multiplying the factors in the numerator and the factors in the denominator?

### Fourth Grade Math Example SLO

Fourth Grade Math Example SLO A Student Learning Objective (SLO) is a detailed process used to organize evidence of student growth over a specified period of time. The SLO process is appropriate for use

### Numbers and Operations

Grade 7 MATH Unit Number 1 Numbers and Operations Title Big Ideas/Enduring Understandings Problems can be solved easier when using variety of equivalent forms. All numbers fall within the real number system.

### 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

### Section R.2. Fractions

Section R.2 Fractions Learning objectives Fraction properties of 0 and 1 Writing equivalent fractions Writing fractions in simplest form Multiplying and dividing fractions Adding and subtracting fractions

### RATIONAL NUMBER ADDITION AND SUBTRACTION

21 RATIONAL NUMBER ADDITION AND SUBTRACTION INSTRUCTIONAL ACTIVITY Lesson 4 LEARNING GOAL Students will extend their understanding of integer addition and subtraction to addition and subtraction of rational

### Unit 1: Place value and operations with whole numbers and decimals

Unit 1: Place value and operations with whole numbers and decimals Content Area: Mathematics Course(s): Generic Course Time Period: 1st Marking Period Length: 10 Weeks Status: Published Unit Overview Students

### Mathematics Success Grade 8

T68 Mathematics Success Grade 8 [OBJECTIVE] The student will determine the square roots of perfect squares, and categorize rational numbers in the real number system and apply this understanding to solve

### 6th Grade Mathematics Curriculum Guide

Unit 1: Fractions and Decimals (no calculators) Time Frame: Quarter 1 about 25 days Connections to Previous Learning: By the end of grade 4, students are expected to fluently add, subtract, multiply and

### Factor Trees. Objective To provide experiences with finding the greatest common factor and the least common multiple of two numbers.

Factor Trees Objective To provide experiences with finding the greatest common factor and the least common multiple of two numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

### 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.

### Mathematics Success Grade 8

T92 Mathematics Success Grade 8 [OBJECTIVE] The student will create rational approximations of irrational numbers in order to compare and order them on a number line. [PREREQUISITE SKILLS] rational numbers,

### Preview of Common Core State Standards Sample EAGLE Items Grade 7 Mathematics

Preview of Common Core State Standards Sample EAGLE Items Grade 7 Mathematics July 11, 2012 Grade 7 Technology enabled, multiple part, constructed response item types use a common context and contain several

### SIXTH GRADE MATH. Quarter 1

Quarter 1 SIXTH GRADE MATH Numeration - Place value - Comparing and ordering whole numbers - Place value of exponents - place value of decimals - multiplication and division by 10, 100, 1,000 - comparing

### Grade 7 Pre-AP Math Unit 1. Numbers and Operations *CISD Safety Net Standards: 7.3B. Suggested Time Frame. 1 st Six Weeks 15 Days

Numbers and Operations *CISD Safety Net Standards: 7.3B 7.3B Title Big Ideas/Enduring Understandings Problems can be solved easier when using variety of equivalent forms. All numbers fall within the real

### Roselle Math Curriculum Unit Title: 7 Multiplying and Dividing Decimals Grade: _5_. Common Core Standards, 2010

Essential Question(s) How do decimal numbers impact multiplication and division? Enduring Understanding(s) Decimals can be multiplied and divided in the same way as whole numbers. What strategies can be

### Lesson Research Proposal for 5 th Grade Multiplication of a Decimal Number by a Whole Number

Lesson Date: Instructor: Lesson plan developed by: 1. Title of the Lesson: Multiplication of a Decimal Number by a Whole Number 2. Brief description of the lesson Students will use previous understandings

### Paramedic Program Pre-Admission Mathematics Test Study Guide

Paramedic Program Pre-Admission Mathematics Test Study Guide 05/13 1 Table of Contents Page 1 Page 2 Page 3 Page 4 Page 5 Page 6 Page 7 Page 8 Page 9 Page 10 Page 11 Page 12 Page 13 Page 14 Page 15 Page

### Overview. Essential Questions. Grade 5 Mathematics, Quarter 3, Unit 3.1 Adding and Subtracting Decimals

Adding and Subtracting Decimals Overview Number of instruction days: 12 14 (1 day = 90 minutes) Content to Be Learned Add and subtract decimals to the hundredths. Use concrete models, drawings, and strategies

### Grade 9 Mathematics Unit #1 Number Sense Sub-Unit #1 Rational Numbers. with Integers Divide Integers

Page1 Grade 9 Mathematics Unit #1 Number Sense Sub-Unit #1 Rational Numbers Lesson Topic I Can 1 Ordering & Adding Create a number line to order integers Integers Identify integers Add integers 2 Subtracting

### New York State Testing Program Grade 5 Common Core Mathematics Test. Released Questions with Annotations

New York State Testing Program Grade 5 Common Core Mathematics Test Released Questions with Annotations August 2013 THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY

### GRADE 6 MATH: SHARE MY CANDY

GRADE 6 MATH: SHARE MY CANDY UNIT OVERVIEW The length of this unit is approximately 2-3 weeks. Students will develop an understanding of dividing fractions by fractions by building upon the conceptual

### Equivalent Fractions and Decimals

LESSON 9 Equivalent Fractions and Decimals FOCUS COHERENCE RIGOR LESSON AT A GLANCE F C R Focus: Common Core State Standards 4NFC5 Express a fraction with a denominator as an equivalent fraction with denominator,

### How Many Teams? Sample task from achievethecore.org Task by NC Department of Public Instruction, annotation by Student Achievement Partners

Sample task from achievethecore.org Task by NC Department of Public Instruction, annotation by Student Achievement Partners GRADE LEVEL Four IN THE STANDARDS 4.OA.A.3, (4.NBT.B.6) WHAT WE LIKE ABOUT THIS

### Unit Plan Components. Appropriate Length of Time. Unit Name: Addition and Subtraction to 20. Common Core Standards

Unit Plan Components Big Goal Standards Big Ideas Unpacked Standards Scaffolded Learning Resources Appropriate Length of Time Aligned Assessment Comments This unit plan identifies a big goal for the overall

### Rounding Decimal Numbers

Rounding Decimal Numbers Reteaching Math Course, Lesson To round decimal numbers: Circle the place value you are rounding to. Underline the digit to its right. If the underlined number is or more, add

### 6-12 ELA and Mathematics Guidelines address student rights to high quality literacy, including written expression, and mathematics instruction.

The Tennessee Department of Education supports a comprehensive and cohesive English Language Arts (ELA) and mathematics program of study for all 6-12 students. Programs should be consistent with the Common

### PROGRAM OVERVIEW. MHEonline.com/glencoemath

PROGRAM OVERVIEW MHEonline.com/glencoemath Glencoe Math Accelerated is a robust toolkit designed to support your unique teaching style, your ideas, and the needs of your students. Your imagination, creativity

### Number Talks. 1. Write an expression horizontally on the board (e.g., 16 x 25).

Number Talks Purposes: To develop computational fluency (accuracy, efficiency, flexibility) in order to focus students attention so they will move from: figuring out the answers any way they can to...

### COMMON CORE. DECONSTRUCTED for. State Standards 5TH GRADE ARTS 5MATHEMATICS

COMMON CORE State Standards DECONSTRUCTED for Classroom Impact 5MATHEMATICS 5TH GRADE ARTS 855.809.7018 www.commoncoreinstitute.com MathEMATICS OVERVIEW Introduction The Common Core Institute is pleased

### Q N R. Sep 5 7:55 AM THE NUMBER SYSTEM

Q W I TITLE: Q N R Sep 5 7:55 AM THE NUMBER SYSTEM N NATURAL NUMBERS All positive non zero numbers; in other words, all positive numbers. This does not include zero. These are the numbers we use to count.

### 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

### Available in Spanish For Grades K 5

Available in Spanish For Grades K 5 Components You choose the math topics, sequence, and book length. Pearson Custom School Suite lets you customize a program to support the needs of your struggling math

### Computation of Fractions

National Center on INTENSIVE INTERVENTION at American Institutes for Research Computation of Fractions 000 Thomas Jefferson Street, NW Washington, DC 0007 E-mail: NCII@air.org While permission to reprint

### Inequalities. Assessment Management. Dividing Decimals by Decimals: Part 1

Inequalities Objectives To find and represent all the values that make an inequality in one variable true; and to represent real-world situations with inequalities. www.everydaymathonline.com epresentations

### This lesson introduces students to decimals.

NATIONAL MATH + SCIENCE INITIATIVE Elementary Math Introduction to Decimals LEVEL Grade Five OBJECTIVES Students will compare fractions to decimals. explore and build decimal models. MATERIALS AND RESOURCES

### Smarter Balanced Assessment Consortium Claims, Targets, and Standard Alignment for Math

Smarter Balanced Assessment Consortium Claims, Targets, and Standard Alignment for Math The Smarter Balanced Assessment Consortium (SBAC) has created a hierarchy comprised of claims and targets that together

### Performance Assessment Task Cindy s Cats Grade 5. Common Core State Standards Math - Content Standards

Performance Assessment Task Cindy s Cats Grade 5 This task challenges a student to use knowledge of fractions to solve one- and multi-step problems with fractions. A student must show understanding of

### Upon successful completion of this course you should be able to

University of Massachusetts, Amherst Math 113 Math for Elementary School Teachers I Fall 2011 Syllabus of Objectives and Learning Outcomes Overview of the Course This is a mathematics content course which

### Foundations for Middle School 6 th Grade Syllabus

Unit 1:, and Percents (Lessons 0 19) and Percents (Lessons 0 19) Foundations for Middle School 6 th Grade Syllabus Solving for every variable Foundations for Middle School 6 th Grade Syllabus 1 Unit 1:

### Year Five Maths Notes

Year Five Maths Notes NUMBER AND PLACE VALUE I can count forwards in steps of powers of 10 for any given number up to 1,000,000. I can count backwards insteps of powers of 10 for any given number up to

### 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

### Consultant: Lynn T. Havens. Director of Project CRISS Kalispell, Montana

Teacher Annotated Edition Study Notebook Consultant: Lynn T. Havens SM Director of Project CRISS Kalispell, Montana i_sn_c1fmtwe_893629.indd i 3/16/09 9:17:03 PM Copyright by The McGraw-Hill Companies,

### AERO/Common Core Alignment 3-5

AERO/Common Core Alignment 3-5 Note: In yellow are the AERO Standards and inconsistencies between AERO and Common Core are noted by the strikethrough ( eeeeee) notation. AERO Common Core Mapping 1 Table

### 7 th Grade Math Foundations for Teaching Unit One: Numbers & Operations Module One: Rational Number s

Unit One: Numbers & Operations Module One: s Day/Date TEKS Activities and Resources Essential Question Aug 25 Aug 26 Aug 27 Aug 28 Aug 29 (SS) (SS) (SS) (SS) - First Day Procedures - Math Class Student

### 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

### Unit 3: Decimals. Learning Objectives 3.2

Unit 3 Table of Contents Unit 3: Decimals Learning Objectives 3.2 Instructor Notes The Mathematics of Decimals Teaching Tips: Challenges and Approaches Additional Resources Instructor Overview Tutor Simulation:

### Math6.org Activities for Whole Numbers

Math6.org Activities for Whole Numbers Vocabulary Studies 1) On-Line Word Search 2) 3 Column Notes 3) Flash Cards 4) Crossword Puzzle 5) Matching Practice 6) Vocabulary Millionaire! Tests and Games 52)

### Collegium Charter School Grade 5 Math Scope & Sequence. Global Vision. We Use Math in Our Everyday Lives

Collegium Charter School Grade 5 Math Scope & Sequence Global Vision We Use Math in Our Everyday Lives Updated August 2015 Standards of Mathematical Practice (Habits of Mind) in 5th grade: 1. Make sense

### Absolute Value of Reasoning

About Illustrations: Illustrations of the Standards for Mathematical Practice (SMP) consist of several pieces, including a mathematics task, student dialogue, mathematical overview, teacher reflection

### Fractions and Decimals

Fractions and Decimals Objectives To provide experience with renaming fractions as decimals and decimals as fractions; and to develop an understanding of the relationship between fractions and division.

### Quadratic Functions: Complex Numbers

Algebra II, Quarter 1, Unit 1.3 Quadratic Functions: Complex Numbers Overview Number of instruction days: 12-14 (1 day = 53 minutes) Content to Be Learned Mathematical Practices to Be Integrated Develop

### Master the Common Core State Standards for Math!

Program Overview RTI Grades K 5 Master the Common Core State Standards for Math! Aligned to the ommon Core STATE STANDARDS Built on Common Core Topic Progressions Designed to help K 5 students master the

### Blended Instructional Design

Blended Instructional Design Introduction Before We Get Started This guide explains how to teach lesson with Prentice Hall Algebra 1, Geometry, and Algebra 2 the new Prentice Hall High School Math series.

### Reteaching. Properties of Operations

- Properties of Operations The commutative properties state that changing the order of addends or factors in a multiplication or addition expression does not change the sum or the product. Examples: 5

### Appendix A: 20 Items and Their Associated 80 Solution Strategies, Proportion Correct Scores, Proportion of Students Selecting the Solution Strategies

Appendix A: 20 Items and Their Associated 80 Solution Strategies, Correct Scores, of Students Selecting the Solution Strategies Table A1. Math Test Items with Associated Strategies and Summaries of Student

### Understanding Place Value

Grade 5 Mathematics, Quarter 1, Unit 1.1 Understanding Place Value Overview Number of instructional days: 7 (1 day = 45 minutes) Content to be learned Explain that a digit represents a different value

### UNIT TITLE: Module 3 Multi-Digit Multiplication and Division Grade: 4th Time: 9 weeks

Common Core Standards: MAFS.4.OA.1.3, MAFS.4.OA.1.2, MAFS.4.OA.1.3, MAFS.4.OA.2.4, MAFS.4.NBT.2.4, MAFS.4.NBT.2.6, MAFS.4.MD.1.3 Mathematical Practice: Mp.2, MP.4, MP.5, MP.8 CCSS Unpacked Know (Level

### In the number 55.55, each digit is 5, but the value of the digits is different because of the placement.

FIFTH GRADE MATHEMATICS UNIT 2 STANDARDS Dear Parents, As we shift to Common Core Standards, we want to make sure that you have an understanding of the mathematics your child will be learning this year.

### FOURTH GRADE NUMBER SENSE

FOURTH GRADE NUMBER SENSE Number sense is a way of thinking about number and quantity that is flexible, intuitive, and very individualistic. It grows as students are exposed to activities that cause them

### 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

### #1 Make sense of problems and persevere in solving them.

#1 Make sense of problems and persevere in solving them. 1. Make sense of problems and persevere in solving them. Interpret and make meaning of the problem looking for starting points. Analyze what is

### Pre-Algebra Interactive Chalkboard Copyright by The McGraw-Hill Companies, Inc. Send all inquiries to:

Pre-Algebra Interactive Chalkboard Copyright by The McGraw-Hill Companies, Inc. Send all inquiries to: GLENCOE DIVISION Glencoe/McGraw-Hill 8787 Orion Place Columbus, Ohio 43240 Lesson 5-1 Lesson 5-2

### Objective To introduce the concept of square roots and the use of the square-root key on a calculator. Assessment Management

Unsquaring Numbers Objective To introduce the concept of square roots and the use of the square-root key on a calculator. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts

### Math Concepts and Skills 2 Reference Manual. SuccessMaker Enterprise

Math Concepts and Skills 2 Reference Manual SuccessMaker Enterprise Released June 2008 Copyright 2008 Pearson Education, Inc. and/or one or more of its direct or indirect affiliates. All rights reserved.

### Rational Number Project

Rational Number Project Fraction Operations and Initial Decimal Ideas Lesson 10: Overview Students develop an understanding of thousandths and begin to look at equivalence among tenths, hundredths, and

### Fourth Grade. Operations & Algebraic Thinking. Use the four operations with whole numbers to solve problems. (4.OA.A)

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

### Eureka Math Tips for Parents

Eureka Math Tips for Parents Place Value and Decimal Fractions In this first module of, we will extend 4 th grade place value work to multi-digit numbers with decimals to the thousandths place. Students

### Unit 1: Extending Whole Number Operations

Unit 1: Extending Whole Number Operations Learning Goals 13 Days 5.3A S 2 Estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, and division

### Reporting with Precision and Accuracy

COMMON CORE Locker LESSON Reporting with Precision and Accuracy Common Core Standards The student is expected to: COMMON CORE N-QA3 Choose a level of accuracy appropriate to limitations on measurement

### 5th Grade Unit 1: Whole Number and Decimal Fraction Place Value to the One Thousandths (4 Weeks)

5th Grade Unit : Whole Number and Decimal Fraction Place Value to the One Thousandths (4 Weeks) Stage Desired Results Established Goals Unit Description Students continue to extend and apply their understanding

### 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

### Addressing Misconceptions when Solving Multi-Step Linear Equations. Kathleen Fagan

Addressing Misconceptions when Solving Multi-Step Linear Equations Kathleen Fagan I have taught how to solve multi-step linear equations to 9 th graders several times as well as reinforced the concept

### Grade 7 Mathematics. Unit 3. Fractions, Decimals, and Percents. Estimated Time: 23 Hours

Grade 7 Mathematics Fractions, Decimals, and Percents Estimated Time: 23 Hours [C] Communication [CN] Connections [ME] Mental Mathematics and Estimation [PS] Problem Solving [R] Reasoning [T] Technology

### 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

### Maths Area Approximate Learning objectives. Additive Reasoning 3 weeks Addition and subtraction. Number Sense 2 weeks Multiplication and division

Maths Area Approximate Learning objectives weeks Additive Reasoning 3 weeks Addition and subtraction add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar

### Grade 7 Unit 1: Add, Subtract, Multiply and Divide Rational Numbers (6 Weeks)

Grade 7 Unit : Add, Subtract, Multiply and Divide Rational Numbers (6 Weeks) Stage Desired Results Established Goals Unit Description Apply and extend previous understandings of operations with fractions

### 2-7. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes Warm Up Write each mixed number as an improper fraction. 1. 1 3. 1 3 4 6 7 4 11 6 2. 2 7 8 23 8 4. 8 1 12 97 12 2-11 2-7 I will Learn to compare

### Common Core State Standards for Mathematics Accelerated 7th Grade

A Correlation of 2013 To the to the Introduction This document demonstrates how Mathematics Accelerated Grade 7, 2013, meets the. Correlation references are to the pages within the Student Edition. Meeting

### 4th Grade Topic 1 - Multiplication and Division: Meanings and Facts

4th Grade Topic 1 - Multiplication and Division: Meanings and Facts Approximately 9 days Standard Objective Notes 1-1 OA1 recognize multiplication as repeated addition G21, G22, G23, G35 1-2 OA5 use patterns