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Grade 5
Instructor: Mr. Meyers   
Welcome to our website for 5th grade math and ELA with Mr. Meyers! Assignments, upcoming important dates, updates about our current learning, and ideas for extra practice will be frequently posted and updated here. Thanks for stopping by! 
 

 

Announcements
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 "How-to'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 non-zero 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 non-zero 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 "How-to'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.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 "How-to'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 "How-to's" Practice with Front Row:
  • Domain: Base 10 ► Adaptive Practice
Practice with IXL:
(usually best to practice in the order listed)

Operations with Decimals (NBT.7)
· Add decimal numbers (Fifth grade - H.1)
· Subtract decimal numbers (Fifth grade - H.2)
· Add and subtract decimal numbers (Fifth grade - H.3)
· Add and subtract decimals: word problems (Fifth grade - H.4)
· Choose decimals with a particular sum or difference (Fifth grade - H.5)
· Complete the addition or subtraction sentence (Fifth grade - H.6)
· Inequalities with decimal addition and subtraction (Fifth grade - H.7)
· Multiply a decimal by a one-digit whole number (Fifth grade - I.3)
· Multiply a decimal by a multi-digit whole number (Fifth grade - I.4)
· Multiply decimals and whole numbers: word problems (Fifth grade - I.5)
· Multiply money amounts: word problems (Fifth grade - I.6)
· Multiply three or more numbers, one of which is a decimal (Fifth grade - I.7)
· Multiply two decimals using grids (Fifth grade - I.8)
· Multiply two decimals (Fifth grade - I.9)
· Division with decimal quotients (Fifth grade - J.3)

Unit 2: Multiplication, Division, and Operations with Decimals
For the first part of this unit, students will focus on operations with whole numbers only. Students will build upon their past learning from 4th grade of multiplication using various strategies to efficiently multiply numbers (up to 3-digit by 2-digit) using the standard algorithm. Alternative strategies will be reviewed and practiced in class to develop students’ conceptual understanding of multiplication, though students will only be assessed on their computational fluency with the standard algorithm. Division strategies include partial quotients and standard long division. Students should be able to explain and represent their solutions in writing and with visual models. Please see the resources below for additional practice at home.

Video "How-to's" Practice with Front Row:
  • Domain: Base 10 ► Adaptive Practice
  • Domain: Base 10 ► Assigned Practice ► Level 35 - 36
Practice with IXL:
(usually best to practice in the order listed)

Multiplication with Whole Numbers (NBT.5)

· Multiply by 2-digit numbers: complete the missing steps (Fifth grade - C.12)
· Multiply 2-digit numbers by 2-digit numbers (Fifth grade - C.13)
· Multiply 2-digit numbers by 3-digit numbers (Fifth grade - C.14)
· Multiply 2-digit numbers by larger numbers (Fifth grade - C.15)
· Multiply by 2-digit numbers: word problems (Fifth grade - C.16)
· Multiply three or more numbers up to 2 digits each (Fifth grade - C.17)
· Multiply by 3-digit numbers (Fifth grade - C.18)
· Multiply three numbers up to 3 digits each (Fifth grade - C.19)
· Multiply three or more numbers: word problems (Fifth grade - C.20)

· Multiply three numbers up to 3 digits each (Fifth grade - C.19)
· Multiply three or more numbers: word problems (Fifth grade - C.20)


Division with Whole Numbers (NBT.6)

· Division facts to 12 (Fifth grade - D.1)
· Division facts to 12: word problems (Fifth grade - D.2)
· Divide multi-digit numbers by 1-digit numbers (Fifth grade - D.3)
· Divide multi-digit numbers by 1-digit numbers: word problems (Fifth grade - D.4)

· Divide 2-digit and 3-digit numbers by 2-digit numbers (Fifth grade - D.10)
· Divide 2-digit and 3-digit numbers by 2-digit numbers: word problems (Fifth grade - D.11)
· Divide larger numbers by 2-digit numbers (Fifth grade - D.12)
· Divide larger numbers by 2-digit numbers: word problems (Fifth grade - D.13)


Evaluate Expressions Using the Order of Operations (OA.1)

· Perform multiple operations with whole numbers (Fifth grade - O.4)



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 web-based skill practice.

Video "How-to's"
  • Powers of 10: Patterns in multiplication and division (Khan Academy)
  • ​Read and write decimals using a place value chart
    • ​Go to LearnZillion and enter the quick code, Q5U8STM
  • Round decimals to any place
    • ​Go to LearnZillion and enter the quick code, Y3BHJQ8​​
  • Compare and order decimals to the thousandths (begin video at 3:00)
    • ​Go to LearnZillion and enter the quick code, KWD527G​​
Practice with Front Row:
  • Domain: Base 10 Adaptive Practice
  • Domain: Base 10 Assigned Practice Levels 30-34

Practice with IXL:
(usually best to practice in the order listed)

Pictures
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