Division with Fractions Students are currently learning how to divide whole numbers by unit fractions (fractions with 1 in the numerator) and unit fractions by whole numbers. In fifth grade, this learning is developed by guiding students to use their understanding of the relationship between multiplication and division to solve fraction division problems. For example, students might solve the problem 6 divided by 1/3 by thinking, “I know 6 divided by 1/3 is 18 because 18 times 1/3 equals 18/3, which is the same as 6.” Students are also expected to model their solutions with visual fraction models, which is demonstrated in the videos below. Please note, students will not be learning to divide fractions by multiplying by the reciprocal since that reasoning is not introduced until sixth grade.
Video "Howto's"
 Divide unit fractions by whole numbers using pictures
 Go to Learnzillion.com and enter the quick code, LZ130, in the search field at the top of the screen.
 Divide whole numbers by unit fractions using pictures
 Go to Learnzillion.com and enter the quick code, LZ3767, in the search field at the top of the screen.
 Use multiplication to solve fraction division problems
 Go to Learnzillion.com and enter the quick code, LZ3769, in the search field at the top of the screen.
 Interpret fractions as division
 Go to Learnzillion.com and enter the quick code, GY4D3BK, in the search field at the top of the screen.
Practice with IXL
5.NF.7a Interpret division of a unit fraction by a nonzero whole number, and compute such quotients.
5.NF.7b Interpret division of a whole number by a unit fraction, and compute such quotients.
5.NF.7c Solve real world problems involving division of unit fractions by nonzero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem.
Multiplication with Fractions Students have been working hard on solving multiplication problems with fractions and mixed numbers. See below for review and practice resources aligned to the focus standards for this part of our unit.
Video "Howto's"
 Multiply fractions by mixed numbers using visual representations
 Go to Learnzillion.com and enter the quick code, LZ3358, in the search field at the top of the screen.
 Multiply mixed numbers by mixed numbers using visual representations
 Go to Learnzillion.com and enter the quick code, LZ3362, in the search field at the top of the screen.
 Write equations to multiply fractions and mixed numbers
 Go to Learnzillion.com and enter the quick code, LZ3471, in the search field at the top of the screen.
 Multiplying mixed numbers by converting to improper fractions at Khan Academy
Front Row
 Domain: Numbers & Operations  Fractions ► Adaptive Practice
Practice with IXL

5.NF.4a Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b.

5.NF.4b Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
5.NF.6 Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
Unit 3: Fractions We have recently begun our third unit in math on fractions. This first part of the unit will focus on addition and subtraction with fractions and mixed numbers, based on the learning standards listed below.
5.NF.1 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.
5.NF.2 Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
Video "Howto's"
 Add and subtract fractions with unlike denominators
 Go to Learnzillion.com and enter the quick code, LZ121, in the search field at the top of the screen.
 Adding mixed numbers with unlike denominators: Khan Academy Video
 Subtracting mixed numbers with unlike denominators: Khan Academy Video
 Subtracting mixed numbers with unlike denominators by making improper fractions: Khan Academy Video
Practice with Front Row:
 Domain: Numbers & Operations  Fractions ► Adaptive Practice
Practice with IXL:
 Equivalent fractions (Fifth grade  K.3)
 Add fractions with unlike denominators using models (Fifth grade  L.6)
 Add fractions with unlike denominators (Fifth grade  L.8)
 Subtract fractions with unlike denominators using models (Fifth grade  L.9)
 Subtract fractions with unlike denominators (Fifth grade  L.10)
 Add and subtract fractions with like denominators: word problems (Fifth grade  L.4)
 Add and subtract fractions with unlike denominators: word problems (Fifth grade  L.11)
 Add mixed numbers with unlike denominators (Fifth grade  L.18)
 Subtract mixed numbers with unlike denominators (Fifth grade  L.19)
 Add and subtract fractions with like denominators: word problems (Fifth grade  L.4)
 Add and subtract fractions with unlike denominators: word problems (Fifth grade  L.11)
 Add and subtract mixed numbers: word problems (Fifth grade  L.20)
Unit 2 Part 2 We have begun the second part of Unit 2. Students are learning to solve problems with decimal numbers in all four operations. When adding or subtracting decimal numbers, we focus on precision in aligning the digits of each number by place value. In addition to written methods for computation, students will have experience utilizing visual and mental strategies for solving these types of problems. When multiplying and dividing decimal numbers, students will be expected to explain the strategy they use and why it works. Review videos and online practice ideas will be posted below as we cover new concepts in class.
Video "Howto's"
Practice with Front Row:
 Domain: Base 10 ► Adaptive Practice
Practice with IXL:
(usually best to practice in the order listed)
Unit 2: Multiplication, Division, and Operations with Decimals
Unit 1: Understanding Place Value As students have adjusted to the new routine of starting each day with math, we have utilized the first few days of class to engage in some fun problem solving activities! Furthermore, we have had multiple class discussions on what it looks like in math to have a "growth mindset." Students with a growth mindset believe their intelligence and ability is malleable rather than fixed, and learning happens when we are challenged, make mistakes, and learn from those mistakes. With future conversations and activities, we will continue to explore how this way of thinking applies to problem solving, perseverance, effort, and attitude in math.
Our first unit in math began today with a pretest to gauge students' readiness for the upcoming material. Please see the letter under "Files" titled "Unit 1 Family Letter" for more information regarding the specific Common Core State Standards we will cover and ideas for how to support this learning at home with vocabulary reinforcement and webbased skill practice.
Video "Howto's"
 Powers of 10: Patterns in multiplication and division (Khan Academy)
 Read and write decimals using a place value chart
 Round decimals to any place
 Compare and order decimals to the thousandths (begin video at 3:00)
Practice with Front Row:
 Domain: Base 10 ► Adaptive Practice
 Domain: Base 10 ► Assigned Practice ► Levels 3034
Practice with IXL:
(usually best to practice in the order listed)

Links for Mr. Meyers's ELA group PARCC practice links will only work in Internet Explorer. Fraction ModelsOnline interactive tool to model fractions from National Council of Teachers of Mathematics Front RowAdaptive math practice at home. Front Row works best in Google Chrome or downloaded on an iPad or Android tablet. Log in using your first and last name and the class code, "henqcj". IXLLog in using your district username and password ending in "i@5" Virtual ManipulativesVirtual fraction, decimal, and percent bars to model operations with these numbers. XtraMathIndividualized facts practice. See Mr. Meyers for your login information.
Use as needed for homework or other athome practice.
