4.6.6Ma


 * Grade: 4 Unit: 6 Week: 6 Content: Math – Fractions/Decimals **
 * (Wk 12) Dates: May 13-17 **


 * 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 use the strategy //act it out// to solve problems?


 * 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.
 * 4.NF.2 Compare two fractions with different numerators and different denominators, e.g. by creating common denominators or numerators, or by comparing to a benchmark fraction such as ½. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols <, =. >, and justify the conclusions, e.g., by using a visual fraction model.
 * 4.NF.7 Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when two decimals refer to the same whole. Record the results of comparisons with the symbols <, = , or >, and justify the conclusions, e.g., by using a visual model.


 * Objectives **
 * I can use identify everyday uses of decimals.
 * I can I read and write tenths and hundredths.
 * 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 add decimal numbers that are multiples of 0.1 and 0.25 ( e.g., 2.3 + 3.25).
 * I can break the numbers into whole numbers, tenths and hundredths.


 * Assessment **
 * Students will find ¼ and 3/12 of 24 marbles and decide which portion is greater.
 * Students will order 5 fractions on a number line.
 * Students compare two decimal numbers.


 * Key Questions **
 * Can the student use 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)?
 * Can the student break the numbers into whole numbers, tenths and hundredths?


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


 * ** 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


 * Suggested Activities ** [see Legend to highlight MCO and HYS]

These lessons focus on representing and comparing decimals.
 * Math Investigations ** : Unit 6-__Fraction Cards and Decimal Squares (__Sessions 3.5 and 3.7)

__ On Core Mathematics __ pgs.103-108, 149, 150, 168-172


 * 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)
 * ||  ** Multicultural Concepts **


 * Resources **
 * Professional Texts **


 * Literary Texts **


 * Informational Texts **


 * Art, Music, and Media **


 * Manipulatives **
 * Library of Virtual Manipulatives []


 * Games **


 * Videos **


 * Sight Words **

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 **

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 **

Add and Subtract Fractions Develop fluency with addition and subtraction of non—negative rational numbers with unlike denominators.
 * AEGOM Lesson G4M014 **

Equivalent Fractions Use models and points of reference to find equivalent fractions.
 * AEGOM Lesson **** G4M012 **


 * Other Activities, etc. **
 * ** 4.NF.2, 4.NF.3b, 4.MD.4: Eggsactly with Fractions **
 * []
 * Developing the Set Model
 * ** 4.MD.1, 4.NF.1, 4.NF.2: Oil, Oil Everywhere **
 * []
 * Estimating area and learning about oil spills
 * ** 4.NF.1, 4.NF.2, 4.MD.4: A Meter of Candy **
 * []
 * Developing a sense of hundredths through the use of models
 * ** 4.NF.1, 4.NF.2: Fun With Fractions **
 * []
 * Developing the Length Model
 * ** 4.NF.1, 4.NF.2, 4.NF.3b: Fun With Pattern Block Fractions **
 * []
 * Developing the Region Model
 * ** 4.NBT.2, 4.NBT.1, 4.NF.1, 4.NF.2, 4.NF.5, 4.NF.6, 4.NF.7: Numbers and Language **
 * []
 * Discussing, Describing, Reading, and Writing Numbers to Help Develop Number Sense
 * Developing the Region Model
 * ** 4.NBT.2, 4.NBT.1, 4.NF.1, 4.NF.2, 4.NF.5, 4.NF.6, 4.NF.7: Numbers and Language **
 * []
 * Discussing, Describing, Reading, and Writing Numbers to Help Develop Number Sense
 * Discussing, Describing, Reading, and Writing Numbers to Help Develop Number Sense


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