Monday, September 22, 21014  I can apply decimals and find the GCF and LCM of a given set of numbers.
Bell Work  Apply decimals, find GCF and LCM.
Classwork
(1) Graded writing task was returned with rubric used. Text evidence will be weighted twice as much as the other categories, so multiply the points for that category by 2. Total possible points is 20. Below is a student sample shared with the class and given to students who scored 85% or below. All pieces were glued down on p.1415 of the foldables notebook.
(1) Graded writing task was returned with rubric used. Text evidence will be weighted twice as much as the other categories, so multiply the points for that category by 2. Total possible points is 20. Below is a student sample shared with the class and given to students who scored 85% or below. All pieces were glued down on p.1415 of the foldables notebook.
(2) 1st, 2nd, and 3rd period finished the Decimals Retest. 4th period will finish the retest tomorrow.
Homework: Summarizing Factors and Multiples Foldable was due today. All students were given the extension of Wednesday, September 24th. This is the final deadline. Extra credit for GCF and LCM due by Friday, September 26th. Please see Friday, September 19th for details. Test has been postponed until Monday, September 29th.
foldable_rubric.pdf  
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Tuesday, September, 23, 2014  I can multiply fractions by fractions using fraction models.
Bell Work  Review CCGPS M5.NF.4 and 6  multiplying fractions by fractions  Complete #19 (to the right of Activity 35)
Classwork  Examined fraction of a fraction through the "Brownie Pan Task". What does it mean to find 1/2 of 2/3? When you find 1/2 of 2/3, should you get something greater than or less than 2/3? As you work through each problem, think about the size of the answer (in this case, the brownie) when you are finding a part of a part. First, draw models of the brownie pan before the customer buys part of what is left. Mark the part the customer is buying and figure out how much is being bought. Then, figure out how much he/she is paying for this part.
A. 1/2 of 2/3 is 2/6. When you take half of the thirds, you break each third into two parts. This gives you six parts in the whole. 2/3 now equals 4/6. Half of four sixths is two sixths. So, Mr. Williams bought 2/6 of what was left in the brownie pan.
Multiplying the denominators gives the number of parts in the whole. Multiplying the numerators gives you how many parts of the whole are being bought. To figure out the cost, divide $12 into six equal parts. Each part, equals $2. If Mr. Williams bought two of these parts, he paid $4. 
B. 3/4 of 1/2 is 3/8. When you take fourths of a half, you break each half into four parts. This gives you eight parts in the whole. 1/2 now equals 4/8. Taking three of the four eights is three eights, 3/8. So, Aunt Serena buys 3/8 of the remaining brownie pan.
Divide $12 into 8 equal parts and the quotient is $1.50. Each brownie part costs $1.50. Therefore, three of these parts equals $4.50. You can use the multiplication algorithm to show that 3/8 of $12 is 36/8, which can be renamed as $4.5. 
Homework  Complete Activity 35  multiplying fractions by fractions. Work can be shown on worksheet. Don't forget to simplify your products. And as you solve, think about the size of the part you are taking a part of and what your answer means. Don't forget about your Factors and Multiples Summary. It's due tomorrow as well.
Wednesday, September 24, 2014  I can divide whole numbers by unit fractions and proper fractions using fraction models and the standard algorithm.
Bell Work  GCF, LCM, multiplying fractions.
#1 Finding the GCF

Prime Factorization  Break down numbers into their prime factor strings. Identify the common prime factors and multiply them by each other.

#2 Finding the LCM
#3 Multiplying Fractions
This problem is different from the ones you saw yesterday. Here, the first factor is a whole number. Think in a similar way as you did with the problems yesterday. 4 of these 1/5 parts would be fourfifths or 4/5. You aren't taking a fraction of a fraction. You are getting more of the given fraction.
In the situations yesterday, a fraction of a fraction resulted in a smaller fraction.
Classwork
(1) "Dividing by Unit Fractions"  Students translated division expressions involving whole numbers and unit fractions. They used fraction models to solve them and expressed the quotient as a number representing how many groups of the divisor fraction the dividend whole was being divided into.
(2) "42 Division"  Students translated division expressions involving whole numbers and proper fractions. Then, drew fraction models to solve them and expressed the solution in terms of groups of fractions. The algorithm "Keep, Change, Flip" was used to correspond with specific components of their fraction models.
(1) "Dividing by Unit Fractions"  Students translated division expressions involving whole numbers and unit fractions. They used fraction models to solve them and expressed the quotient as a number representing how many groups of the divisor fraction the dividend whole was being divided into.
(2) "42 Division"  Students translated division expressions involving whole numbers and proper fractions. Then, drew fraction models to solve them and expressed the solution in terms of groups of fractions. The algorithm "Keep, Change, Flip" was used to correspond with specific components of their fraction models.
2014.9.24_dividing_by_unit_fractions_42 division.pdf  
File Size:  92 kb 
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2014.9.24_42_division_example_fraction_model_to_algorithm.pdf  
File Size:  357 kb 
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Homework  Finish "42 Division" using the standard algorithm, "Keep, Change, Flip." We will continue to explore this algorithm using fraction models for the rest of this week. Summarizing Factors and Multiples Graphic Organizer/Foldable Note was due today. Test has been tentatively scheduled for next Monday.
2014.9.24_dividing_by_unit_fractions_42 division solutions.pdf  
File Size:  905 kb 
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Thursday, September 25, 2014  I can divide whole numbers and fractions by fractions using fraction models.
Classwork  Interpret expressions involving division of fractions with varying quotients  whole numbers, mixed numbers, fractions. Use fraction models to solve these problems. Explain what these solutions mean.
Homework  No new homework. Finish the following if you haven't already:
 Summarizing Factors and Multiples assigned Tuesday, 9/16. Was due Wednesday, 9/24.
 42 Division assigned 9/24. Was due Thursday 9/25
 Extra Credit for GCF/LCM Quiz assigned Friday, 9/19. Due Friday, 9/26: (1) Error Analysis  for each problem missed explain why you missed it and provide the correct work and solution; (2) GCF "owl" and 5 problem solving; (3) LCM "Activity 5" and 5 problem solving.
Friday, September 26, 2014  I can interpret division expressions involving fractions and use fraction models and the standard algorithm to divide and explain the quotient.
Jonathan solved a different expression. He solved 1/4 divided by 2. Onefourth divided into two equal groups would be two equal groups of oneeighth. In this expression, dividing 4 wholes into groups of onehalf is equal to 8 groups of onehalf. Using the algorithm, "Keep Change Flip," it appears that Jonathan "flipped" (used the reciprocal of) the first term, 4, instead of "flipping" (using the reciprocal of) the 2nd term, 1/2.
Classwork
(1) Finish foldable notes for "Dividing Fractions."
(1) Finish foldable notes for "Dividing Fractions."
(2) Variations of Division Expressions. Students worked in groups or through guided discussion on a second foldable involving variations of division expressions using the same terms, 2, 5, 1/5 and 1/2. Students examined similarities and differences between each of these expressions. They were asked to think about the values of what were being divided and what was doing the dividing. What kind of quotient should I expect? How large or small should it be? These questions will help you interpret the solution and what it means. We will finish examining these expressions on Monday.
Homework  None. Foldable notebooks remained in class for me to grade the "Summarizing Factors and Multiples" foldable. Test is tentatively scheduled for Tuesday, September 30. Have a wonderful weekend!!!