5th Grade Math

5^th Grade Math

This post is about what 5^th grade students are expected to learn and know in math. 5th grade math is building on what the students were learning in 4th grade. The emphasis is on:
http://www.corestandards.org/Math/Content/5/introduction/

(1) developing fluency with addition and subtraction of fractions, and developing understanding of the multiplication of fractions and of division of fractions in limited cases (unit fractions divided by whole numbers and whole numbers divided by unit fractions)

links for further understanding:
https://www.youtube.com/watch?v=MHRAZ5Br49Y
https://www.cimt.org.uk/projects/mepres/book7/bk7i20/bk7_20i2.htm
https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-multiply-fractions/v/multiplying-a-fraction-by-a-fraction
https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-multiply-fractions/v/multiplying-a-fraction-by-a-fraction

(2) extending division to 2-digit divisors, integrating decimal fractions into the place value system and developing understanding of operations with decimals to hundredths, and developing fluency with whole number and decimal operations

links for further understanding:
https://www.youtube.com/watch?v=7QXMwftxx98
https://www.youtube.com/watch?v=vQN4-gNrF2g
https://www.artsintegration.net/place-value-art.html (place value and art, a lesson plan inspired by one of my favorites Wassily Kandinsky!)
developing fluency with whole number and decimal operations

(3) developing understanding of volume.

links for further understanding:
https://www.pbslearningmedia.org/resource/mwnet-math-md-babyblu/understanding-concepts-of-volume-and-measurement-biancas-babysitting-blues/
https://www.pbslearningmedia.org/resource/mgbh.math.md.rectprism/representing-volume-of-right-rectangular-prisms-with-unit-cubes/

More details:

Grade 5 Overview

Operations and Algebraic Thinking

• Write and interpret numerical expressions.
• Analyze patterns and relationships.

Number and Operations in Base Ten

• Understand the place value system.
• Perform operations with multi-digit whole numbers and with decimals to hundredths.

Number and Operations—Fractions

• Use equivalent fractions as a strategy to add and subtract fractions.
• Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Measurement and Data

• Convert like measurement units within a given measurement system.
• Represent and interpret data.
• Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

Geometry

• Graph points on the coordinate plane to solve real-world and mathematical problems.
• Classify two-dimensional figures into categories based on their properties.

http://www.corestandards.org/Math/Content/5/introduction/

Examples of 5th grade work:

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After the intensity of 4th grade math, 5th grade doesn't seem so bad. At this point the children should have the basics down making 5th grade a building year. As with all grades I think it is important to begin a new concept by reviewing what they already know. For example fractions, because I feel that they are one area that overwhelms most students. It would be good to begin with a review of what they are, the numerator, the denominator and how to reduce. Then I would go into how to build upon that knowledge, make the connections for them so they see it. Most of the confusion I have seen in students comes from a teachers assumption that the students will make the connections on their own. Some do, some don't, and the rest do sometimes. That's why it's best to help them see it, rather than assuming that they can.