# 4 th Grade. Interactive Notebook: math. Fractions Edition. Based on the Common Core Standards.

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1 4 th Grade Interactive Notebook: math Fractions Edition Based on the Common Core Standards

3 My Math Notebook Name: My Math Notebook Name:

5 Equivalent Fractions (4.NF.1)

6 4.NF.1 Equivalent Fractions I can explain equivalent fractions by using visual fraction models, and recognize and generate equivalent fractions. Equivalent Fractions: In the model below, fractions equivalent to A are shaded. Notice that although the fractions are different, they are the same size. These are equivalent fractions. Use the model to list fractions equivalent to A:

7 Use the fraction bars to find Equivalent Fractions... To find equivalent fractions, you can also multiply both the numerator and denominator by the same number... J t D O 2 = 3 = 4 =

8 Comparing Fractions (4.NF.2)

9 4.NF.2 Comparing Fractions I can compare two fractions with different numerators and different denominators, by creating common numerators or denominators or by comparing to a benchmark fraction. Compare & Strategies for Comparing Fractions: Use a fraction model: F D Compare the shaded models. Divide the bar into equal fourths and shade one bar. Divide the bar into equal thirds and shade two bars. Compare to a benchmark like A: Less than ½ F 0 D 1 C Find common denominators: To compare F and D, find common denominators by finding equivalent fractions with the same denominator. Then compare. A H F D 3 = 3 = 4 = 4 = N S S > N, so D > F

10 Compare f;h Use the following to compare fractions Use a fraction model 2. Compare to a benchmark 3. Find a common denominator. K;f u;d L;e D;R A;e

11 Decomposing Fractions (4.NF.3)

12 To decompose a fraction, break the fraction into smaller fractions with the same denominator. 4.NF.3 Decomposing Fractions I can decompose a fraction into the sum of fractions with the same denominator. R + O Q + P P + P + Q + + O + O + O + O + O

13 Find two ways to decompose each fraction. M h y

14 Adding & Subtracting Fractions (4.NF.3)

15 4.NF.3 Adding and Subtracting Fractions I can understand addition and subtraction of fractions as joining and separating parts referring to the same whole. Shade 3 parts with one color and 2 parts with another. How many total parts are shaded? d + c = R - Q = Shade 4 parts then X out 3 of the shaded parts. How many parts are left shaded?

16 f + c = R + O = d - b = S - R =

17 Adding & Subtracting Mixed Numbers (4.NF.3)

18 4.NF.3 Adding & Subtracting Mixed Numbers I can add and subtract mixed numbers with like denominators. Adding Mixed Numbers Subtracting Mixed Numbers 2 f + 1 c = 2 S - 1 O = Shade 2 wholes and 5 parts Shade 1 whole & 2 parts Shade 2 wholes and 5 parts Now, X out 1 whole &1 part How many total wholes and parts are shaded? How many wholes and parts are left shaded?

19 2 F + 2 G = 4 C + 3 C = 5 H - 3 G = 4 S - 3 R =

20 Word Problems: Adding & Subtracting Fractions (4.NF.3)

21 4.NF.3 Word Problems: Adding & Subtracting Fractions I can solve word problems involving addition and subtraction of fractions. At a party, Andy and April shared a cherry pie, cut into 10 pieces. Andy ate u of the pie and April ate t of the pie. What fraction of the pie did they eat altogether? Operation: Equation: Solution: When Leslie arrived at the party of a pumpkin pie was left. If Leslie ate of the pie, then how much was left? c Operation: Equation: h Solution:

22 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 c At the beginning of the summer of the pages in Tom s journal were t blank. If he wrote in of the pages over the summer, what fraction of pages were still empty at the end of the summer? y Ron brought cupcakes to school to share with his classmates. By Q lunchtime, of the cupcakes were O left. After lunch another were eaten. By the end of the day, what fraction of the cupcakes were left? Before recess Jerry put together K of his puzzle. After recess he J put together another of the puzzle. How much of the puzzle has he completed?

23 Multiplying Fractions by Whole Numbers (4.NF.4)

24 4.NF.4 Multiplying Fractions by Whole Numbers I can multiply a fraction by a whole number. Shade 5 parts 5 xf = How many fourths or are shaded? 4 4 Multiply the whole number, 3 by the numerator, 3 xk 2. Keep the denominator the same. = 5 Shade parts. How many wholes and fifths are shaded? 5

25 4 xd = 3 xl = 7 xc = 2 xh = 4 xk = 5 xp =

26 Word Problems: Multiplying Fractions (4.NF.4)

27 4.NF.4 Word Problems: Multiplying Fractions & Whole Numbers I can solve word problems involving multiplication of a fraction by a whole number. There are 6 students in Angela s book club. of the students in her group are boys. How many boys are in Angela s reading group? Equation: D Solution: There are 8 players on Stan s basketball team. of the players are able to make it to this weekend s game. How many of Stan s teammates will be there to play? Equation: H Solution:

28 Michael asks his 8 friends, what season of the year they prefer. f of his friends say summer. How many of Michael s friends prefer summer? Jim is having a barbecue with 10 K of his friends. of his friends want hot dogs. How many hot dogs should Jim make? Kelly is making ice C cream cones for her 6 friends. of her friends asked for sprinkles on their ice cream. How many ice cream cones should Kelly make with sprinkles? There are 10 girls on Pam s soccer team. L of her teammates scored a goal at last week s game. How many of the players on Pam s team scored a goal?

29 Fractions: Denominators of 10 & 100 (4.NF.5)

30 4.NF.5 Fractions: Denominators of 10 & 100 I can express a fraction with a denominator of 10 as an equivalent fraction with a denominator of 100, and use this technique to add two fractions with respective denominators of 10 and 100. Write a fraction for each of the following pictures: Notice how the fractions are different, but the values are the same. They are equivalent fractions. You can also multiply to find equivalent fractions with denominators of 10 and 100: 3 x 10 = x 10 = x 10 = x 10 = 100 You can use this technique to add fractions with two different denominators: 5 30 is the same as =

31 Find an equivalent fraction. Then find the sum = = = = 100

32 Relate Decimals & Fractions (4.NF.6)

33 4.NF.6 Relating Fractions & Decimals I can use decimal notation for fractions with denominators of 10 or A Decimal is another way of representing part of a whole. - Decimals relate to fractions with denominators of 10, 100, etc... - A decimal point is used to separate a whole and the part. The models below represent the equivalent fractions, 5/10 and 5/100 Decimal Place Value: ones tenths hundredths The models above can be interpreted as the decimals: five tenths (0.5) or 50 hundredths (0.50) 4 10 Write the following as decimals: = _._ = _. = _

34 Fraction: Decimal: Word Form: Fraction: Decimal: Word Form: Fraction: Decimal: Word Form: Fraction: Decimal: Word Form:

35 Comparing Decimals (4.NF.7)

36 4.NF.7 Comparing Decimals I can compare two decimals to the hundredths place by reasoning about their size. Quick Tip: When comparing decimals, sometimes it s helpful to think of the decimals like money. Use us to compare decimals. Compare: 0.5 & 0.45 You can think of 0.5 as 0.50 (or 50 ). Then compare it to 0.45 (or 45 ) 0.5 > 0.45

37 Compare 0.32 ; Use the following 0.3 to compare fractions Use a fraction model 2. Compare to a benchmark 3. Find a common denominator. 0.5 ; ; ; ; 0.9

38 Thank you so much for purchasing this product. If you have any questions or comments, please feel free to me! Copyright Rebecca Rojas 2013 All rights reserved by the author. Permission to copy for classroom use only. Credits for Graphics & Fonts:

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TYPES OF NUMBERS When two or more integers are multiplied together, each number is a factor of the product. Nonnegative integers that have exactly two factors, namely, one and itself, are called prime