# Line Plots. Objective To provide experience creating and interpreting line plots with fractional units. Assessment Management

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1 Line Plots Objective To provide experience creating and interpreting line plots with fractional units. epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common Core State Standards Curriculum Focal Points Interactive Teacher s Lesson Guide Teaching the Lesson Ongoing Learning & Practice Differentiation Options Key Concepts and Skills Identify equivalent fractions. [ and Numeration Goal ] Identify fractions on a number line. [ and Numeration Goal 6] Add fractions and mixed numbers with like and unlike denominators. [Operations and Computation Goal ] Create a line plot. [Data and Chance Goal ] Analyze a data set. [Data and Chance Goal ] Key Activities Students make a line plot to display and analyze a data set measurements in fractions a unit. Students use equivalent fractions and operations fractions including addition and subtraction to solve problems involving information presented in line plots. Materials Math Journal, pp. and A Fraction Cards (Math Journal, Activity Sheets ) Student Reference Book, pp. 9 (optional) calculator Probability Meter Poster (optional) Operations with Multidigit Whole s and Decimals Math Journal, p. B Students practice solving problems involving operations with multidigit whole numbers and decimals. Math Boxes Math Journal, p. Students practice and maintain skills through Math Box problems. Ongoing Assessment: Recognizing Student Achievement Use Math Boxes, Problem. [ and Numeration Goal 6 and Operations and Computation Goal ] Study Link Math Masters, p. Students practice and maintain skills through Study Link activities. READINESS Identifying Fractions on a Line Math Masters, p. Students label fractions on number lines. ETRA PRACTICE Plotting Rain Gauge Data Math Master, p. Students read measures from pictures rain gauges, plot the data on a line plot, and then answer questions about data landmarks. Advance Preparation For Part, students need Fraction Cards (Math Journal, Activity Sheets ), which were cut out and used in Lesson -. 9 Unit Exponents and Negative s

5 Date Time Operations with Multidigit Whole s and Decimals. Use the standard algorithm to complete the multiplication problem shown at right.. \$, is shared equally among people. Student Page a. Write an open number sentence to show how much money each person gets., = m b. Will a reasonable estimate for the quotient be in the tens, hundreds, or thousands? In the hundreds c. Each person gets \$.. In a store, Denny picks out jeans for \$.9 and a shirt for \$6.9. He has \$ with him. a. Does he have enough money to buy the jeans and shirt? no b. If not, how much more money does he need? \$.. a. The correct digits for the product are given. Write the decimal point in the product without actually multiplying =.6 b. Explain how you decided where to place the decimal point. Sample answer:.9 is almost, so I knew that the product would be close to 9.. a. Explain how you could use the shading in the grid to find the quotient.6.. Sample answer: The shading shows groups. in.6. b. What whole number division problem has the same quotient? Sample answer: 6 + º,, º º Ongoing Learning & Practice Operations with Multidigit Whole s and Decimals (Math Journal, p. B) INDEPENDENT Students practice solving problems involving operations with multidigit whole numbers and decimals. Math Boxes (Math Journal, p. ) INDEPENDENT Mixed Practice Math Boxes in this lesson are paired with Math Boxes in Lesson -. The skills in Problem 6 previews Unit. Math Journal, p. B 9-_EMCS_S_MJ_G_U_6.indd B // : PM Ongoing Assessment Recognizing Student Achievement Math Boxes Problem Use Math Boxes, Problem to assess students ability to add fractions with unlike denominators and to use benchmarks to compare fractions. Students are making adequate progress if they can compare the fraction _ to _ and find the sum the two fractions. Some students may be able to compare the fraction to _. [ and Numeration Goal 6 and Operations and Computation Goal ] Date Math Boxes Student Page Time. Write the following number in standard notation. Nine billion, one hundred two million, three thousand, sixty-two 9,,,6. Shade _ the fraction stick. a. Is this more or less than _? b. Is this more or less than _? c. _ + _ = _ less more. Fill in the blanks. a. ( ) + ( ) = ( + ). b. ( ) = (.) ( ) 6 9 c. ( + ) = (6 ) + (6 ) d. (9 ) (9 ) = ( ). Write the next two numbers in each pattern. _ 9_ a. _, _, _,, b. 6,,,, 96 c. 6,,,, 6_ d. _, _, _,, _ A large jar drink mix holds. kg. How much drink mix will jars the same size hold? kg 6. 6 stamps per package. How many in... a. _ a package? b. _ 6 a package? c. _ 9 a package? d. _ a package? e. _ a package? stamps stamps stamps stamps stamps Math Journal, p. 9-_EMCS_S_MJ_G_U_6.indd // : PM 9 Unit Exponents and Negative s

6 Study Link (Math Masters, p. ) INDEPENDENT Home Connection Students practice making line plots with fractional increments using insect data. Differentiation Options Name Date Time STUDY LINK Scouting for Insects Some insects are harmful to farmers crops. The insects listed in this table are harmful to alfalfa crops. Farmers scout their crops and randomly collect sample plants. They regularly observe the plants and gather data to determine if the insect population is growing or remaining stable. The table shows the result one farmer s insect scouting. Plot and label the lengths the insects from the scouting sample on the line plot below. Use the line plot to find the following data landmarks:. Minimum insect length Study Link Master Type Insect Average Length Insect () Insects Alfalfa Weevil _ Larvae Fall Armyworm _ Meadow Spittlebug _ Pea Aphid _ 6 Potato Leafhopper _ 6. Maximum insect length. Range insect lengths. Median insect length _. Mean insect length READINESS Identifying Fractions on a Line (Math Masters, p. ) SMALL-GROUP Min Insects Insect Lengths Average Length () Students label fractions on number lines. Math Masters, p. ETRA PRACTICE Plotting Rain Gauge Data (Math Masters, p. ) SMALL-GROUP Min -_EMCS_B_MM_G_U_69.indd // 9: AM Students use rain gauge data to practice creating a line plot with fractional increments and then answer questions about the landmarks the data set. Name Date Time Identifying Fractions on a Line Label each number line with the correct fractions.. Teaching Master Name Date Time Plotting Rain Gauge Data Teaching Master Rainfall ().. 6 Example: Read the rain gauge pictured above and place an on the line plot to show how much rain has been collected.. Read each rain gauge to find out how much rain fell each day. Write the amount rain on the line below the gauge. Sun Mon Tue Wed Thu Fri Sat. Draw and label the following points on this number line. The first one is done for you. A: _ B: _ C: _ D: _ E: _ B C A D E. Jay, Kay, and Mae are in a -mile walk-a-thon. So far, Jay has walked _ mi, Kay has walked _ mi, and Mae has walked _ mi. Draw and label points on the number line below to show their approximate locations. Jay Kay Mae _. Use the number line to make a line plot recording daily rainfall for week. Label the tick marks on the number line. Place an to represent each rain amount. Days _ Daily Rainfall _ Rainfall (). Analyze the rain gauge data to answer the questions below. _ a. What is the mode amount rain that fell each day? _ Math Masters, p. b. What is the range the rainfall during the week? _ Math Masters, p. -_EMCS_B_MM_G_U_69.indd // 9: AM -_EMCS_B_MM_G_U_69.indd /6/ : PM Lesson 9

7 Name Date Time Identifying Fractions on a Line Label each number line with the correct fractions..... Draw and label the following points on this number line. The first one is done for you. A: _ B: _ C: _ D: _ E: _ A Copyright Wright Group/McGraw-Hill. Jay, Kay, and Mae are in a -mile walk-a-thon. So far, Jay has walked _ mi, Kay has walked _ mi, and Mae has walked _ mi. Draw and label points on the number line below to show their approximate locations.

8 Name Date Time STUDY LINK Scouting for Insects Some insects are harmful to farmers crops. The insects listed in this table are harmful to alfalfa crops. Farmers scout their crops and randomly collect sample plants. They regularly observe the plants and gather data to determine if the insect population is growing or remaining stable. The table shows the result one farmer s insect scouting. Type Insect Average Length Insect () Insects Alfalfa Weevil Larvae Fall Armyworm Meadow Spittlebug Pea Aphid Potato Leafhopper 6 _ 6 Plot and label the lengths the insects from the scouting sample on the line plot below. Use the line plot to find the following data landmarks:. Minimum insect length. Maximum insect length. Range insect lengths. Median insect length. Mean insect length Insect Lengths Insects Copyright Wright Group/McGraw-Hill Average Length ()

9 Name Date Time Plotting Rain Gauge Data Rainfall () Example: Read the rain gauge pictured above and place an on the line plot to show how much rain has been collected.. Read each rain gauge to find out how much rain fell each day. Write the amount rain on the line below the gauge. Sun Mon Tue Wed Thu Fri Sat Copyright Wright Group/McGraw-Hill. Use the number line to make a line plot recording daily rainfall for week. Label the tick marks on the number line. Place an to represent each rain amount. Days Daily Rainfall Rainfall (). Analyze the rain gauge data to answer the questions below. a. What is the mode amount rain that fell each day? b. What is the range the rainfall during the week?

### Comparing Fractions Objective To provide practice ordering sets of fractions.

Comparing Fractions Objective To provide practice ordering sets of fractions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management

### Objective To guide the development and use of a rule for generating equivalent fractions. Family Letters. Assessment Management

Equivalent Fractions Objective To guide the development and use of a rule for generating equivalent fractions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game

### Surface Area. Assessment Management

Surface Area Objective To introduce finding the surface area of prisms, cylinders, and pyramids. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

### 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.

### The Partial-Quotients Division Algorithm, Part 1

The Partial-Quotients Division Algorithm, Part 1 Objectives To introduce and provide practice with a low-stress division algorithm for 1-digit divisors. www.everydaymathonline.com epresentations etoolkit

### Comparing and Ordering Fractions

Comparing and Ordering Fractions Objectives To review equivalent fractions; and to provide experience with comparing and ordering fractions. www.everydaymathonline.com epresentations etoolkit Algorithms

### 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

### Subtracting Mixed Numbers

Subtracting Mixed Numbers Objective To develop subtraction concepts related to mixed numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

### Multiplying Fractions by Whole Numbers

Multiplying Fractions by Whole Numbers Objective To apply and extend previous understandings of multiplication to multiply a fraction by a whole number. www.everydaymathonline.com epresentations etoolkit

### Assessment Management

Areas of Rectangles Objective To reinforce students understanding of area concepts and units of area. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### Progress Check 6. Objective To assess students progress on mathematical content through the end of Unit 6. Looking Back: Cumulative Assessment

Progress Check 6 Objective To assess students progress on mathematical content through the end of Unit 6. Looking Back: Cumulative Assessment The Mid-Year Assessment in the Assessment Handbook is a written

### Reading and Writing Large Numbers

Reading and Writing Large Numbers Objective To read and write large numbers in standard, expanded, and number-and-word notations. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

### Volume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms.

Volume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts

### Exponential Notation for Powers of 10

Expntial Notation for Objective To introduce number-and-word notation for large numbers and expntial notation for powers of 10. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

### Calculator Practice: Computation with Fractions

Calculator Practice: Computation with Fractions Objectives To provide practice adding fractions with unlike denominators and using a calculator to solve fraction problems. www.everydaymathonline.com epresentations

### Review: Comparing Fractions Objectives To review the use of equivalent fractions

Review: Comparing Fractions Objectives To review the use of equivalent fractions in comparisons. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

### Parentheses in Number Sentences

Parentheses in Number Sentences Objective To review the use of parentheses. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management

### Objective To introduce a formula to calculate the area. Family Letters. Assessment Management

Area of a Circle Objective To introduce a formula to calculate the area of a circle. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

### Capacity. Assessment Management

Capacity Objective To review units of capacity. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common Core State Standards

### Review: Addition and Subtraction of Positive and Negative Numbers

Review: Addition and Subtraction of Positive and Negative Numbers Objective To practice adding and subtracting positive and negative numbers. www.everydaymathonline.com epresentations etoolkit Algorithms

### The Distributive Property

The Distributive Property Objectives To recognize the general patterns used to write the distributive property; and to mentally compute products using distributive strategies. www.everydaymathonline.com

### Change Number Stories Objective To guide children as they use change diagrams to help solve change number stories.

Number Stories Objective To guide children as they use change diagrams to help solve change number stories. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game

### The Length-of-Day Project

The Length-of-Day Project Objectives To review telling time and finding elapsed time; and to introduce the Length-of-Day project. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

### The Lattice Method of Multiplication

The Lattice Method of Multiplication Objective To review and provide practice with the lattice method for multiplication of whole numbers and decimals. www.everydaymathonline.com epresentations etoolkit

### Box Plots. Objectives To create, read, and interpret box plots; and to find the interquartile range of a data set. Family Letters

Bo Plots Objectives To create, read, and interpret bo plots; and to find the interquartile range of a data set. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

### Reading and Writing Small Numbers

Reading Writing Small Numbers Objective To read write small numbers in stard exped notations wwweverydaymathonlinecom epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

### 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

### Addition and Subtraction of Decimals Objective To add, subtract, and round decimals.

Addition and Subtraction of Decimals Objective To add, subtract, and round decimals. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

### Buying at the Stock-Up Sale

Buying at the Stock-Up Sale Objective To guide children as they multiply using mental math and the partial-products algorithm. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

### Multiplication and Division Fact Families

Multiplication and Division Fact Families Objectives To review fact families and the Multiplication/Division Facts Table; and to guide children as they practice multiplication and division facts. www.everydaymathonline.com

### A Coin-Toss Experiment

A Coin-Toss Experiment Objective To guide children as they develop intuition equally likely events. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### Multiplication Facts Practice

Multiplication Facts Practice Objectives To introduce the 5-facts test; and to provide practice with multiplication facts. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts

### 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

### Measuring with a Ruler

Measuring with a Ruler Objective To guide children as they measure line segments to the nearest inch, _ inch, _ inch, centimeter, _ centimeter, and millimeter. www.everydaymathonline.com epresentations

### Objective To review the partial-quotients division algorithm with whole numbers.

Objective To review the partial-quotients division algorithm with whole numbers. 1 Teaching the Lesson materials Key Activities Students review and practice the use of a friendly number paper-and-pencil

### Sunrise-Sunset Line Graphs

Sunrise-Sunset Line Graphs Objectives To guide children as they analyze data from the sunrise-sunset routine; and to demonstrate how to make and read a line graph. www.everydaymathonline.com epresentations

### The Mean and the Median

The Mean and the Median Objectives To introduce the mean of a set of data; and to review the median of a set of data. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

### 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

### Multiplication Facts Survey

Multiplication Facts Survey Objective To guide children as they determine which multiplication facts they still need to learn. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

### Common Core State Standards. Mathematical Practices SMP1, SMP5, SMP6, SMP8. Content Standards 3.OA.5, 3.OA.8

Project Objective To introduce the rules for order of operations. www.everydaymathonline.com etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common Core State Standards

Addition Number Stories Objective To guide children as they make up, represent, and solve addition number stories. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

### Review of Basic Fraction Concepts

Review of asic Fraction Concepts Objective To review fractions as parts of a whole (ONE), fractions on number lines, and uses of fractions. www.everydaymathonline.com epresentations etoolkit lgorithms

### Hidden Treasure: A Coordinate Game. Assessment Management. Matching Number Stories to Graphs

Hidden Treasure: A Coordinate Game Objective To reinforce students understanding of coordinate grid structures and vocabulary. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

### Multiplication Arrays

Multiplication Arrays Objective To provide opportunities to use arrays, multiplication/ division diagrams, and number models to represent multiplication number stories. www.everydaymathonline.com epresentations

### Middle Value (Median) of a Set of Data

Middle Value (Median) of a Set of Data Objectives To guide children as they sort numerical data and arrange data in ascending or descending order, and as they find the middle value (median) for a set of

### Solving Simple Equations Objective To use trial and error and a cover-up method to

Solving Simple Equations Objective To use trial and error and a cover-up method to solve equations. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### Assessment Management

Area Objectives To provide experiences with the concept of area, distinguishing between area and perimeter, and finding areas of rectangular figures by partitioning and counting squares. www.everydaymathonline.com

### Objective To guide exploration of the connection between reflections and line symmetry. Assessment Management

Line Symmetry Objective To guide exploration of the connection between reflections and line symmetry. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### Fractions and Decimals: Part 2

Fractions and Decimals: Part Objective To provide experience with several graphic models for renaming fractions as decimals. www.everydaymathonline.com epresentations etoolkit Algorithms Practice M Facts

The Addition/Subtraction Facts Table Objectives To provide experience exploring patterns in sums of two dice; and to introduce the Addition/Subtraction Facts Table. www.everydaymathonline.com epresentations

### Multiplication of Mixed Numbers

Multiplication of Mixed Numbers Objective To introduce multiplication with mixed numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

### Assessment Management

Facts Using Doubles Objective To provide opportunities for children to explore and practice doubles-plus-1 and doubles-plus-2 facts, as well as review strategies for solving other addition facts. www.everydaymathonline.com

### Volume of Pyramids and Cones

Volume of Pyramids and Cones Objective To provide experiences with investigating the relationships between the volumes of geometric solids. www.everydaymathonline.com epresentations etoolkit Algorithms

### Multiplication and Division of Positive and Negative Numbers

Multiplication and Division of Positive Objective o develop and apply rules for multiplying and dividing positive and www.everydaymathonline.com epresentations eoolkit Algorithms Practice EM Facts Workshop

### The Median. Objectives To review how to display a set of data with a line plot; and to review how to find the median of a set of data.

The Median Objectives To review how to display a set of data with a line plot; and to review how to find the median of a set of data. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

Subtraction from Addition Objectives To review the and 1 shortcuts; and to guide children to identify the subtraction facts related to given addition facts. www.everydaymathonline.com epresentations etoolkit

### Family Letters. Assessment Management. Playing Fraction Of

Formula for the Area of a Parallelogram Objectives To review the properties of parallelograms; and to guide the development and use of a formula for the area of a parallelogram. www.everydaymathonline.com

### Properties of Polygons Objective To explore the geometric properties of polygons.

Properties of Polygons Objective To explore the geometric properties of polygons. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

### Simplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms.

Simplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

### Family Letters. Assessment Management. Playing Target: 50

The Partial-Sums Algorithm Objectives To guide children as they make ballpark estimates; and to provide opportunities to model and practice the partialsums algorithm for - and -digit numbers. www.everydaymathonline.com

### Constructing Geometric Solids

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### Subtraction Strategies

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