Teacher - Angelfire



Teacher |Powell- 6th grade Math |Subject |Fractions |Timeline |11/27/06- 1/19/07 | |Summative Assessment |Students will complete a multiple choice test and open response question. (attached) | |

|Demonstrators/ Exit Standards|Program of Studies Big Idea: Number Properties and Operations and Algebraic Ideas |

| |MA-06-1.1.1 |

| |Students will provide examples of and identify fractions, decimals and percents. DOK 1 |

| |MA-06-1.1.2 |

| |Students will describe and provide examples of representations of numbers (whole numbers, fractions in simplest form, mixed numbers, decimals, percents) and operations in a |

| |variety of equivalent forms using models, diagrams, and symbols (e.g., number lines, 10 by 10 grids, rectangular arrays, number sentences), based on real-world and mathematical |

| |problems. |

| |MA-06-1.1.3 |

| |Students will convert between any two of the following numbers: fractions, decimals, and percents (less than or equal to 100%); and will compare and order these numbers. DOK 2 |

| |MA-06-1.2.1 |

| |Students will estimate to solve real-world and mathematical problems with whole numbers, fractions, decimals and percents, checking for reasonable and appropriate computational |

| |results. DOK 2 |

| |MA-06-1.3.1 |

| |Students will add, subtract, multiply and divide whole numbers, fractions and decimals to solve real-world problems and apply order of operations to simplify numerical |

| |expressions. DOK 2 |

| |MA-06-1.3.2 |

| |Students will explain how operations (addition and subtraction; multiplication and division) are inversely related. |

| |MA-06-1.4.1 |

| |Students will describe and apply ratios to solve real-world problems. DOK 2 |

| |MA-06-1.5.1 |

| |Students will identify and apply prime numbers, composite numbers, prime factorization, factors, multiples and divisibility to solve real-world and mathematical problems (e.g., |

| |prime factorization to determine a least common multiple [LCM] or greatest common factor [GCF]). DOK 2 |

| |MA-06-1.5.2 |

| |Students will identify the use of properties (commutative properties of addition and multiplication, the associative properties of addition and multiplication and the identity |

| |properties for addition and multiplication) to simplify numerical expressions. DOK 1 |

| |MA-06-5.2.1 |

| |Students will substitute values for variables (up to two different variables) and evaluate algebraic expressions. DOK 2 |

|Essential Questions |How will you simplify numerical expressions using the commutative, associative, and identity properties? |

| |How do you explain that addition, subtraction, multiplication and division are inversely related? |

| |How do you add, subtract, multiply, and divide and apply the order of operations to solve real world problems? |

| |How will you describe and apply ratios to solve real-world problems? |

|Activities/Resources |Thought Education Strategies (memory box, word wall, fact storming, team game tournament, fist list, vocabulary notebook), Wireless Slate, PowerPoint (used to communicate |

| |information for all lessons), Smart Board, Multiplication Chart, Real-Life Problems, Videos, Internet Math Games, Fraction Bars, Accelerated Math |

|Unit Vocabulary | Least common multiple, greatest common factor, multiple, factor, numerator, denominator, simplify (reduce), reciprocal, inverse, ratio, proportion |

Daily Plans with Formative Assessment: Revised 12/8, due to Midterms

|Day 1 11/27 |Day 2 11/28 |Day 3 11/29 |Day 4 11/30 |Day 5 12/1 |

| |Mixed Numbers |Comparing Fractions |Fractions, Decimals, Percents |Review |

|Fractions/Simplest Form |Assessment: pg.165 #1-41 |Assessment: pg.167 #1-33 |Assessment: pg.171 #1-61 |Assessment: Worksheet |

|Assessment: Worksheet | | | | |

|Guiding Questions |

|What does a fraction represent? |Describe how write fractions as mixed |How do you compare and order fractions? |How do you convert between a fraction and|All guiding questions from this week. |

| |numbers and mixed numbers as fractions? | |a decimal, and vice versa? | |

|Vocabulary |

|Fraction, numerator, denominator, |Mixed numbers, improper fractions |Greater than, less than |Terminating decimal, repeating decimal | |

|simplest form, reduce | | | | |

|Student Activities |

|Begin With Daily Practice! |Begin With Daily Practice! |Begin With Daily Practice! |Begin With Daily Practice! |Begin With Daily Practice! |

| | | | | |

|Discuss fractions. |Review fractions. |Review fractions. |Review decimals, percents, and fractions.|A review will be conducted and students |

| | | | |will complete a worksheet. |

|Have students illustrate fractions. |Discuss mixed numbers. |Discuss how to cross multiply fractions |Review changing decimals to percents. | |

| | |to put them in order. | |Students can play Internet games for |

|Discuss simplifying or reducing |Discuss how to change mixed numbers to | |Discuss how to change decimals to |extra practice and to review for the |

|fractions. |fractions and vice versa. |Students will use fraction bars! |fractions and vice versa. |upcoming quiz! |

| | | | | |

|Students will use fraction bars! |Students will use fraction bars! |Provide students with examples. |Provide students with examples. | |

| | | | | |

|Provide students with examples. |Provide students with examples. |Assess students. |Show students the fraction/percent poster| |

| | | |they can use to solve problems! | |

|Assess students. |Assess students. | | | |

| | | |Assess students. | |

|IEP/Gifted Modifications |

|Peer Tutoring |Peer Tutoring |Peer Tutoring |Peer Tutoring |Peer Tutoring |

|One on One Instruction |One on One Instruction |One on One Instruction |One on One Instruction |One on One Instruction |

|Modified Assessment |Modified Assessment |Modified Assessment |Modified Assessment |Modified Assessment |

|Independent Study |Independent Study |Independent Study |Independent Study |Independent Study |

|Read/Write Gold |Read/Write Gold |Read/Write Gold |Read/Write Gold |Read/Write Gold |

|Day 6 12/4 |Day 7 12/5 |Day 8 12/6 |Day 9 12/7 |Day 10 12/8 |

| |Dividing Fractions |Adding/Subtracting Fractions (like |Quiz |Review |

|Multiplying Fractions |Assessment: pg.212 #1-33 |denominators) | |Assessment: Worksheet |

|Assessment: pg.205 #1-41 | |Assessment: Worksheet | | |

|Guiding Questions |

|Describe how to multiply fractions and |Describe how to divide fractions and |Describe how to add/subtract fractions |All guiding questions from this week. |All guiding questions from this week. |

|mixed numbers? |mixed numbers? |with like denominators? | | |

|Vocabulary |

| |reciprocal | | | |

|Student Activities |

|Begin With Daily Practice! |Begin With Daily Practice! |Begin With Daily Practice! |Thoughtful Ed Strategy: Fist List |A review will be conducted and students |

| | | | |will complete a worksheet. |

|Review fractions. |Review fractions. |Review fractions. |Students will recall five things they | |

| | | |learned this week. |Students can play Internet games for |

|Review mixed numbers. |Review mixed numbers. |Discuss how to add and subtract | |extra practice and to review for the |

| | |fractions. (Add/Subtract numerators |Students will complete a quiz over the |upcoming quiz! |

|Discuss how to multiply fractions. |Discuss how to divide fractions. (Keep, |only!) |material covered this week. | |

|(Multiply straight across!) |Change, and Flip (reciprocal)!) | | | |

| | |Students will use fraction bars! | | |

|Provide students with examples. |Provide students with examples. | | | |

| | |Provide students with examples. | | |

|Show students the fraction/percent poster|Show students the fraction/percent poster| | | |

|they can use to solve problems! |they can use to solve problems! |Show students the fraction/percent poster| | |

| | |they can use to solve problems! | | |

|Assess students. |Assess students. | | | |

| | |Assess students. | | |

|IEP/Gifted Modifications |

|Peer Tutoring |Peer Tutoring |Peer Tutoring |Peer Tutoring |Peer Tutoring |

|One on One Instruction |One on One Instruction |One on One Instruction |One on One Instruction |One on One Instruction |

|Modified Assessment |Modified Assessment |Modified Assessment |Modified Assessment |Modified Assessment |

|Independent Study |Independent Study |Independent Study |Independent Study |Independent Study |

|Read/Write Gold |Read/Write Gold |Read/Write Gold |Read/Write Gold |Read/Write Gold |

|Day 11 12/11 |Day 12 12/12 |Day 13 12/13 |Day 14 12/14 |Day 15 12/15 |

| |Adding/Subtracting Fractions (unlike |Mid-Terms |Mid-Terms |Mid-Terms |

|Adding/Subtracting Fractions (like |denominators) | | | |

|denominators) |Assessment: Worksheet | | | |

|Assessment: pg.184 #1-55 | | | | |

|Guiding Questions |

|Describe how to add/subtract fractions |Describe how to add/subtract fractions | | | |

|with like denominators? |with unlike denominators? | | | |

| | | | | |

| |Compare and contrast like and unlike | | | |

| |denominators? | | | |

|Vocabulary |

|Common denominator | | | | |

|Student Activities |

|Being With Daily Practice! |Being With Daily Practice! |Classes not taking midterms will review |Classes not taking midterms will review |Classes not taking midterms will review |

| | |by doing board races. |by doing board races. |by doing board races. |

|Review fractions. |Review fractions. | | | |

| | | | |Topic will be reviewed and continued |

|Review LCM. |Review LCM. | | |after Christmas Break! |

| | | | | |

|Discuss using LCM to find a common |Discuss using LCM to find a common | | | |

|denominator. |denominator. | | | |

| |Provide students with examples. | | | |

|Students will use fraction bars! | | | | |

| |Students will use fraction bars! | | | |

|Show students the fraction/percent poster| | | | |

|they can use to solve problems! |Show students the fraction/percent poster| | | |

| |they can use to solve problems! | | | |

|Assess students. | | | | |

| |Assess students. | | | |

|IEP/Gifted Modifications |

|Peer Tutoring |Peer Tutoring |Peer Tutoring |Peer Tutoring |Peer Tutoring |

|One on One Instruction |One on One Instruction |One on One Instruction |One on One Instruction |One on One Instruction |

|Modified Assessment |Modified Assessment |Modified Assessment |Modified Assessment |Modified Assessment |

|Independent Study |Independent Study |Independent Study |Independent Study |Independent Study |

|Read/Write Gold |Read/Write Gold |Read/Write Gold |Read/Write Gold |Read/Write Gold |

|Day 16 1/1 |Day 17 1/2 |Day 18 1/3 |Day 19 1/4 |Day 20 1/5 |

| |Adding Fractions |Multiplying/Dividing Fractions |Mixed Number Operations |Open Response |

|No School- New Year’s Day |Assessment: Fraction Bingo |Assessment: Fraction Bingo |Assessment: Fraction Bingo |Assessment: Open Response |

|Guiding Questions |

| |How do you add/subtract fractions? |How do you multiply/divide fractions? |How do you solve problems that involve |All guiding questions from this week. |

| | | |mixed numbers? | |

|Vocabulary |

| |Like and unlike denominators, least |Reciprocal |Mixed number, improper fraction | |

| |common denominator | | | |

|Student Activities |

| |Being With Daily Practice! |Begin With Daily Practice! |Begin With Daily Practice! |Being With Daily Practice! |

| | | | | |

| |Review fractions. |Discuss how to multiply/divide fractions.|Discuss operations involving mixed |Students will complete an open response |

| | | |numbers. |question about adding/subtracting |

| |Discuss how to add and subtract |Provide students with examples. | |fractions. |

| |fractions. (Add/Subtract numerators | |Provide students with examples. | |

| |only!) |Students will use wireless slate to | |Wireless Slate and Smart Board will be |

| | |complete examples. |Students will use wireless slate to |used to complete the graphic organizer. |

| |Provide students with examples. | |complete examples. | |

| | |Assess students by playing Fraction Bingo| | |

| |Students will use wireless slate to |and Internet game. |Assess students by playing Fraction Bingo| |

| |complete examples. | |and Internet game. | |

| | | | | |

| |Assess students by playing Fraction Bingo| | | |

| |and a review game. | | | |

|IEP/Gifted Modifications |

| |Peer Tutoring |Peer Tutoring |Peer Tutoring |Peer Tutoring |

| |One on One Instruction |One on One Instruction |One on One Instruction |One on One Instruction |

| |Modified Assessment |Modified Assessment |Modified Assessment |Modified Assessment |

| |Independent Study |Independent Study |Independent Study |Independent Study |

| |Read/Write Gold |Read/Write Gold |Read/Write Gold |Read/Write Gold |

|Day 21 1/8 |Day 22 1/9 |Day 23 1/10 |Day 24 1/11 |Day 25 1/12 |

| |Proportions |Percents |Review |Open Response |

|Ratio |Assessment: Worksheet |Assessment: Board Races |Assessment: Board Races |Assessment: Open Response |

|Assessment: Worksheet | | | | |

|Guiding Questions |

|What is a ratio? |What is a proportion? |How do you solve problems involving |All guiding questions from this unit. |How do you solve problems involving |

| | |percents? | |proportions? |

|How do you solve problems involving |How do you solve problems involving | | | |

|rations? |proportions? | | | |

|Vocabulary |

|ratio |Proportion, cross multiply | | | |

|Student Activities |

|Begin With CATS like multiple choice! |Begin With Daily Practice! |Begin With Daily Practice! |Begin With Daily Practice! |Begin With Daily Practice! |

|(Students will have 10 minutes to solve 8| | | | |

|computational problems!) |Review ratios. |Review fractions, ratios, and |Review fractions. |Students will complete an open response |

| | |proportions. | |about proportions. |

|Review fractions. |Discuss proportions. | |Assess students with board races. | |

| | |Discuss percentages and how to solve | |Wireless Slate and Smart Board will be |

|Discuss ratios. |Provide students with examples. |problems involving percentages. | |used to complete the graphic organizer. |

| | | | | |

|Provide students with examples. |Assess students. |Use real life examples. | |(Students will start completing the |

| | | | |graphic organizer on their own after this|

|Assess students. | |Assess students with board races. | |open response!) |

|IEP/Gifted Modifications |

|Peer Tutoring |Peer Tutoring |Peer Tutoring |Peer Tutoring |Peer Tutoring |

|One on One Instruction |One on One Instruction |One on One Instruction |One on One Instruction |One on One Instruction |

|Modified Assessment |Modified Assessment |Modified Assessment |Modified Assessment |Modified Assessment |

|Independent Study |Independent Study |Independent Study |Independent Study |Independent Study |

|Read/Write Gold |Read/Write Gold |Read/Write Gold |Read/Write Gold |Read/Write Gold |

|Day 26 1/15 |Day 27 1/16 |Day 28 1/17 |Day 29 1/18 |Day 30 1/19 |

| |Review |Review |SUMMATIVE ASSESSMENT |SUMMATIVE ASSESSMENT |

|No School |Assessment: Internet Game |Assessment: Internet Game | | |

|Guiding Questions |

| |All guiding questions from this unit. |All guiding questions from this unit. |All guiding questions from this unit. |All guiding questions from this unit. |

|Vocabulary |

| | | | | |

|Student Activities |

| |Being With Daily Practice! |Being With Daily Practice! |Students will complete an assessment. |Students will complete an open response |

| | | | |question as part of the unit assessment. |

| |Students will complete a review session |Students will complete a review session |Some students will use United Streaming | |

| |by playing an Internet game using the |by playing an Internet game using the |to complete the assessment! | |

| |wireless slate. |wireless slate. | | |

|IEP/Gifted Modifications |

| |Peer Tutoring |Peer Tutoring |Modified Assessment |Modified Assessment |

| |One on One Instruction |One on One Instruction |Read/Write Gold |Read/Write Gold |

| |Modified Assessment |Modified Assessment | | |

| |Independent Study |Independent Study | | |

| |Read/Write Gold |Read/Write Gold | | |

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