4.6.5Ma


 * Grade: 4 Unit: 6 Week: 5 Content: Math – Fractions/Decimals **
 * (Wk 11) Dates: May 6-10 **


 * Theme Essential Question **** : **
 * How can I use fractions and decimals to solve real world problems? **


 * Essential Questions: **
 * How can I use identify everyday uses of decimals?
 * How can I read and write tenths and hundredths?
 * How can I represent tenths and hundredths as part of an area?
 * How can I order decimals and justify their order through reasoning about representations and the meaning of the numbers?
 * How can I identify decimal and fraction equivalents?
 * How can I use representations to combine tenths and hundredths?
 * How can I estimate the sums of decimal numbers?
 * How can I add decimal numbers that are multiples of 0.1 and 0.25 ( e.g., 2.3 + 3.25)?
 * How can I break the numbers into whole numbers, tenths and hundredths?
 * How can I record tenths and hundredths as fractions and decimals?
 * How can I add fractions when the denominators are 10 and 100?
 * How can I relate fractions, decimals, and money?
 * How can I compare decimals?


 * Standards **
 * 4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements giving in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as a number line diagrams that feature a measurement scale.
 * 4NF.5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100*. For example, express 3/10 as 30/100 and add 3/10 + 4/100 = 34/100.
 * 4NF.6 Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100, describe a length as 0.62 meters; locate 0.62 on a number line diagram.
 * 4NF.7 Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, <, and justify the conclusions, e.g., by using a visual model.


 * Objectives **


 * I can read and write tenths and hundredths as fractions and decimals.
 * I can represent tenths and hundredths as part of an area.
 * I can order decimals and justify their order through reasoning about representations and the meaning of the numbers.
 * I can identify decimal and fraction equivalents.
 * I can use representations to combine tenths and hundredths.
 * I can estimate the sums of decimal numbers.
 * I can break the numbers into whole numbers, tenths and hundredths.
 * I can add decimal numbers that are multiples of 0.1 and 0.25 ( e.g., 2.3 + 3.25).
 * I can add when denominators are 10 and 100.
 * I can understand place value.
 * I can use the relationship a/b = (n x a)/(n x b) to generate equivalent fractions.
 * I can add fractions with like denominators.
 * I can represent and locate fractions on a number line.
 * I can write a fraction to represent a part of a whole that is divided into equal parts.
 * I can recall the values of a penny, a nickel, a dime, a quarter, and a dollar bill.
 * I understand the relationships among the values of coins and a dollar bill.
 * I can compare decimals to hundreds by reasoning about their size.
 * I can compare whole numbers.
 * I can use the symbols <, > , and = to represent a comparison.


 * Assessment **
 * Students are able to represent 0.2 on a 10 x 10 grid by filling in 20 squares.
 * Students are able to combine different fractions on a 10 x 10 grid.
 * Students can use the class, grade, or school population to find the fractional portions of ethnic groups, girls/boys, shirt colors, etc. They can convert fractional portions into decimals to determine the census of the class, grade, or school.


 * Key Questions ** (match Standard)
 * Can the student identify everyday uses of decimals?
 * Can the student read and write tenths and hundredths?
 * Can the student represent tenths and hundredths as part of an area?
 * Can the student order decimals and justify their order through reasoning about representations and the meaning of the numbers?
 * Can the student identify decimal and fraction equivalents?
 * Can the student use representations to combine tenths and hundredths?
 * Can the student estimate the sums of decimal numbers?
 * Can the student add decimal numbers that are multiples of 0.1 and 0.25 ( e.g., 2.3 + 3.25)

(e.g., 2.3 + 3.25).
 * Observable Student Behaviors ** (Performance)
 * The student will identify everyday uses of decimals.
 * The student will read and write tenths and hundredths.
 * The student will represent tenths and hundredths as part of an area.
 * The student will order decimals and justify their order through reasoning about representations and the meaning of the numbers.
 * The student will identify decimal and fraction equivalents.
 * The student will use representations to combine tenths and hundredths.
 * The student will estimate the sums of decimal numbers.
 * The student will add decimal numbers that are multiples of 0.1 and 0.25


 * ** Mathematical Practices **
 * Make sense of problems and persevere in solving them.
 * Reason abstractly and quantitatively.
 * 3. Construct viable arguments and critique the reasoning of others.
 * Model with mathematics.
 * Use appropriate tools strategically.
 * Attend to precision.
 * Look for and make use of structure.
 * 8. Look for and express regularity in repeated reasoning. ||

Word problems Distance Intervals of time Liquid volumes Mass Money Fractions Decimals Problems Measurement Unit Diagrams Number line Measurement scale Customary units Multiplication Whole number Fraction model Equation Mixed number Equivalent fraction Technique Decimal notation Tenths Hundredths Size Comparisons Whole Results Symbols Equivalent decimals ||
 * Vocabulary **
 * ** Math ** ||
 * Operations

These lessons focus on representing and comparing decimals.
 * Suggested Activities ** [see Legend to highlight MCO and HYS]
 * Math Investigations ** : Unit 6-__Fraction Cards and Decimal Squares (__Sessions 3.3 and3.4)

__ On Core Mathematics __ pg. 139-150

__ Harcourt __ pg. 560-563, 566, 567, 568-571, 572-575, mixed review (pgs. 578-579

__ Hands-On Standards __ (grades 3-4) pgs.56


 * Homework **


 * Terminology for Teachers **

** E ** thnicity/**C**ulture | **I**mmigration/**M**igration | **I**ntercultural **C**ompetence | **S**ocialization | **R**acism/**D**iscrimination ** High Yield Strategies ** ** S ** imilarities/**D**ifferences | **S**ummarizing/**N**otetaking | **R**einforcing/**R**ecognition | **H**omework/**P**ractice | ** N ** on-**L**inguistic representation | **C**ooperative **L**earning | **O**bjectives/**F**eedback | ** G ** enerating-**T**esting **H**ypothesis | **C**ues, **Q**uestions, **O**rganizers || || Lesson Plan in Word Format (Click Cancel if asked to Log In)
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Compare and Order Fractions Compare and order fractions by finding equivalent fractions with a common denominator using pictures, number lines, and by writing fractions as decimals.
 * SMART Board Lessons ****, Promethean Lessons **
 * AEGOM Lesson G6M005 **

Compare and Order Decimals Compare and order decimals. Order decimals on a number line. Use the greater than, less than or equal to symbols to compare decimals. Identify equivalent decimals. Order times, heights and times in a race.
 * AEGOM Lesson G6M010 **

Equivalent Fractions Use models, points of reference and equivalent forms to judge the size of fractions. Round fractions to the nearest half.
 * AEGOM Lesson G5M007 **

Decimals Read, name and write decimals between 0 and 1 up to the hundredths.
 * AEGOM Lesson G5M009 **

Problem Solving Strategies: patterns and tables Solve problems by extending the pattern, finding the rule and using tables.
 * AEGOM Lesson G4M010 **

Decimals Read and write decimals through thousandths. Compare decimals through thousandths. Fractions and Mixed Numbers Use and explain models to relate whole numbers and fractions.
 * AEGOM Lesson G4M011 **
 * AEGOM Lesson G4M013 **

Units of Measure Understand the need for measuring with standard units and become familiar with standard units in the customary system. Carry out simple unit conversions within the customary system.
 * AEGOM Lesson G4M019 **

Units of Measure Understand the need for measuring with standard units and become familiar with standard units in the customary and metric systems for length. Carry out simple unit conversions (for example cm to m) within a system
 * AEGOM Lesson G3M022 **

Time Solve problems involving elapsed time. Apply vocabulary with time (a.m., p.m. noon, midnight, etc.).
 * AEGOM Lesson G3M024 **


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