5 th Grade Interactive Notebook: math Number & Operations- Fractions Based on the Common Core Standards www.mrsrojasteaches.blogspot.com
5 th Grade Interactive Math Notebook Fractions Thank you so much for purchasing my 5 th Grade Interactive Math Notebook, based on the Common Core Standards. I am so excited to be using the 4 th grade version of this product in my own classroom this year! Each of the pages in this Math Notebook can be used to introduce and/or wrap-up each math standard. These pages will also serve as an information guide for students to refer back to as they review these standards throughout the year. There is a double-page spread for each concept or skill. The first page gives an explanation of the concept or skill. It provides tips, procedures, definitions, examples, and/or illustrations. The second page gives students the opportunity to demonstrate their learning with a sample of practice exercises. To create an Interactive Math Notebook, your students will need the following o Spiral Notebook o Scissors o Glue Sticks o Pencils o Colored pens, pencils, and/or markers What s Included o Student Notebook Covers o Table of Contents (2 to 3 pages will be needed for each student) o Masters and Sample Pages for the following math concepts/skills: 1. Adding & Subtracting Fractions (5.NF.1) 2. Adding & Subtracting Mixed Numbers (5.NF.1) 3. Word Problems: Adding & Subtracting Fractions (5.NF.2) 4. Relating Fractions to Division (5.NF.3) 5. Word Problems: Relating Fractions to Division (5.NF.3) 6. Multiplying Fractions (5.NF.4) 7. Area & Fractions (5.NF.4) 8. Understanding Multiplication of Fractions by Whole Numbers (5.NF.5) 9. Word Problems: Multiplying Fractions (5.NF.6) 10. Dividing with Fractions (5.NF.7) 11. Word Problems: Dividing with Fractions (5.NF.7) Coming Soon: 5 th Grade Interactive Math Notebook pages for: Measurement & Data and Geometry. If you have any questions or comments, please feel free to email me at rjyoung23@gmail.com. EnjoyJ
My Math Notebook Name: My Math Notebook Name:
Table of Contents Standard: Title: Pages:
Adding & Subtracting Fractions (5.NF.1)
5.NF.1 Adding and Subtracting Fractions I can add and subtract fractions with unlike denominators. Steps for Adding & Subtracting Fractions 1 Do 2 If 3 Find 4 Find the fractions have like or unlike denominators? the fractions have unlike denominators, find a common denominator. the sum or difference. simplest form or convert to a mixed number. D H Q F + - S T Q N + - Unlike 17 12 1P Unlike N F
Do the fractions have like or unlike denominators? Find a common denominator. Find the sum or difference. Simplest form or mixed number. H C + + M u + + S C - - H O - -
Adding & Subtracting Mixed Numbers (5.NF.1)
5.NF.1 Adding and Subtracting Mixed Numbers I can add and subtract mixed numbers. 4H 2D 4T 2S + + 1 Find a common denominator for the fractions Then add. Adding Mixed Numbers 17 = 12 + 5 5 12 12 12 12 2 3 If necessary, decompose the improper fraction and carry the whole number. 1 4T 2S + 7 Add the whole numbers.
Subtracting Mixed Numbers 5D 2H 5S 2T - - 4 20 12 2T - 1 Find a common denominator for the fractions. 2 If necessary, borrow from the whole number, then subtract. 2 1 1 12 3 Subtract the whole numbers. 3D + 2A 2F + 2J 5A - 3K 4L - 2A
Word Problems: Adding & Subtracting Fractions (5.NF.2)
5.NF.2 Word Problems: Adding & Subtracting Fractions I can solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators. At a party, Andy and April shared a cherry pie. Andy ate of C the pie and April ate of the pie. What fraction of the pie did they eat altogether? Equation: K Solution: When Leslie arrived at the party a whole pumpkin pie was left. If Leslie ate of the pie, then how much was left? K Equation: Solution:
Donna has read of the books in her library. If she reads another of the books this summer, what fractions of her books will she have read by the end of the summer? d F Tom wrote in a journal over the L summer. If he wrote in of the pages, what fraction of pages were still blank at the end of the summer? Ron brought cupcakes to school to share with his classmates. By the f end of the day of the cupcakes were gone. What fractions of the cupcakes did Ron have to take home? Before recess Jerry put together K of his puzzle. After recess he C put together another of the puzzle. How much of the puzzle has he completed?
Relating Fractions to Division (5.NF.3)
5.NF.3 Relating Fractions to Division I can interpret a fraction as division of the numerator by the denominator. Fractions can be interpreted as the division of a numerator by a denominator... 5 3 Divisor 1 3 5-3 1 D 2 Numerator 7 3
6 5 8 3 5 2 7 2
Word Problems: Relating Fractions to Division (5.NF.3)
5.NF.3 Word Problems: Relating Fractions to Division I can solve word problems involving division of whole numbers leading to answers in the form of fractions. In math class, Bryan solved 6 word problems in 5 minutes. About how many problems can Bryan solve per minute? Equation: Solution: In computer class, Melissa completed 8 levels of the game Math Monsters in 5 minutes. About how many levels can Melissa complete per minute? Equation: Solution:
Last week Kaitlin played soccer for a total of 9 hours in 6 days. If she played for the same amount of time each day, how long did she play for each day? For the school s Read-a-Thon, Tim read 6 books in 4 days. About how many books did he read each day? If Vicky, Kelly, and Lisa bought five cookies to share, how much did each of them get to eat? In today s game, Jason s team shot 12 baskets in 8 minutes. About how many baskets did they shoot per minute?
Multiplying Fractions (5.NF.4)
c 5.NF.4 Multiplying Fractions I can apply and extend previous understanding of multiplication to multiply a fraction or whole number by a fraction. A C x =? What fraction of the figure is shaded yellow and blue? D H x =? What fraction of the figure is shaded yellow and blue?
1. Multiply the numerator 2. Multiply the denominator A C x = D H x = = 3. Then, find simplest form or convert to a mixed number. F K x = = C D x = H K x = = S C x = L D x = = H J x =
Area & Fractions (5.NF.4)
5.NF.4 Area & Fractions I can find the area of a rectangle with fractional side lengths. Formula for Area: A = x M in. H in. 4 in. Area = x Area = sq. in. 2 in. Area = x Area = sq. in.
H in. 3 in. Area: sq. in. H in. Area: A in. M in. sq. in. 2 in. 1A in. Area: sq. in. Area: M in. sq. in. L in. 3A in. Area: sq. in.
Understanding Multiplication of Fractions by Whole Numbers (5.NF.5)
5.NF.5 Understanding Multiplication of Fractions by Whole Numbers I can interpret multiplication as the scaling or resizing of a number. Find the product for each... Find the product for each... 2 x 1 3 = 2 x 4 3 = 3 x 1 4 = 3 x 5 2 = 4 x 2 3 = 4 x 3 2 = What effect do the fractions have on the whole numbers? What effect do the improper fractions have on the whole numbers? What conclusions can you make? What conclusions can you make?
Tell whether the whole number will increase or decrease. 5 4 2 x 5 x 1 4 3 x 5 3 4 x 1 3 2 x 1 5 3 x 7 2
Word Problems: Multiplying Fractions (5.NF.6)
5.NF.6 Word Problems: Multiplying Fractions I can solve real world problems involving multiplication of fractions and mixed numbers. Zoey s mom made a dozen pancakes on Saturday morning. F Zoey ate of the pancakes. How many pancakes did Zoey eat? Equation: Solution: When Justin came down for breakfast, there was a box of A cereal left. He ate of what was left. How much cereal did Justin have for breakfast? Equation: A Solution:
Mrs. Landry has 30 students in her class. She only has enough computers in her class for C of her students to use. How many students can work on the computers at one time? When Roger got to the party there 2A J were pies left. He ate of what was left. How much pie did Roger eat? Sophia made a dozen muffins over D the weekend. She brought of the muffins to give to her teacher. How many muffins did Sophia give to her teacher? H of the students in Mr. Mack s D class are buying lunch. of those students ordered a sandwich. What fraction of students in Mr. Mack s class are having sandwiches for lunch?
Dividing with Fractions (5.NF.7)
5.NF.7 Dividing with Fractions I can divide fractions by whole numbers and whole numbers by fractions. Dividing Fractions by Whole Numbers 1 2 3 4 5 Keep the fraction the same. Change the to a x Change the whole number to a fraction. Find the reciprocal of the second fraction. Find the product. Find simplest form. D 2 D D 2 D A = P = C 1 S 3 = H 2 =
Dividing Whole Numbers by Fractions 1 2 3 4 Change the whole number to a fraction. 2 A 2 1 A Change the to a x 2 1 A Find the reciprocal of the second fraction. 2 1 Find the product. 2 4 = 4 1 1 H 3 = J 5 =
Word Problems: Dividing with Fractions (5.NF.7)
5.NF.7 Word Problems: Dividing with Fractions I can solve and create real world problems involving division of fractions and whole numbers. Bailey has 2 hours of reading to complete over the weekend. She wants to break up her reading time A into hour blocks. How many times will she read this weekend? Laura and Leah want to equally share A of a piece of cake. How much cake will they each get to eat? 3 friends want to equally share of a bag of potato chips. What fraction of the bag will will each friend get to eat? H Isaac has 6 pages of homework to complete this week. If he completes C of a page at a time, how many times throughout the week will he work on his homework?
A H 2 =? 3 =? Create your own word problem to match each division problem. Then solve. 5 =? 3 =? J L
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