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TOPIC A: Multiplication and Division with Fractions
TOPIC A: Multiplication and Division with Fractions
Dear Family,
Your student is learning that fractions can represent parts of a set or a number, such as 1 sixth of a group of 18 items. Previously they worked with fractions from parts of a whole such as 1 third of a shape. They discover that knowing the unit fraction of a set can be helpful to find other fractions of the set when the denominator and whole number of the set remain the same. For example, if students know 1/5 of 10 then finding 3/5 of 10 is simpler because 3/5 of 10 is 3 times as much as 1/5 of 10. Students find fractions of a set and multiply whole numbers by fractions. They use arrays, number lines, and tape diagrams to represent problems. Students realize that when they find a fraction of a whole number, they are multiplying. For example, 3/5 of 10 has the same value as 3/5 x 10. They use their understanding of multiplying fractions and whole numbers to convert between customary units such as pounds and ounces.
KEY TERMS
convert
cup
denominator
gallon
mixed number
numerator
ounce
pint
pound
product
quart
quotient
whole number
AT HOME ACTIVITY
Find a sample of our lessons below to help support MATH TALK at home.
Students also have these in their APPLY workbook.
Lesson 1
Find fractions of a set with arrays.
I can use an array to represent a whole number and then partition the array into equal groups to find a fraction of a set.
EM2_G5_M3_TA_L01_PracticePartner.pdfEM2_G5_M3_TA_L01_PracticeSolutions.pdfLesson 2
Interpret fractions as division to find fractions of a set with tape diagrams and number lines.
When I find a fraction of a set, I can use a number lines or tape diagrams to represent the problem. I can use what i know about finding a unit fraction of a whole number to find other fractions of a whole number.
EM2_G5_M3_TA_L02_PracticePartner.pdfEM2_G5_M3_TA_L02_PracticeSolutions.pdfLesson 3
Multiply a whole number by a fraction less than 1.
I know I can use multiplication to find a fraction of a whole number. I can multiply a whole number of a fraction by using number lines and tape diagrams.
EM2_G5_M3_TA_L03_PracticePartner.pdfEM2_G5_M3_TA_L03_PracticeSolutions.pdfLesson 4
Multiply a whole number by a fraction.
I can multiply whole numbers by fractions less than 1 and by fractions greater than 1 by using tape diagrams.
EM2_G5_M3_TA_L04_PracticePartner.pdfEM2_G5_M3_TA_L04_PracticeSolutions.pdfLesson 5
Convert larger customary measurement units to smaller measurement units.
I can use what I know about how to multiply fractions to convert from larger measurements units to smaller measurement units. I can use tape diagrams to understand the relationship between the units. I can draw tape diagrams to solve real-world problems.
EM2_G5_M3_TA_L05_PracticePartner.pdfEM2_G5_M3_TA_L05_PracticeSolutions.pdfLesson 6
Convert smaller customary measurement units to larger measurement units.
I can multiply a fraction by a whole number to convert from smaller units to larger units. I can use tape diagrams to understand the relationship between the units.
EM2_G5_M3_TA_L06_PracticePartner.pdfEM2_G5_M3_TA_L06_PracticeSolutions.pdfReport abuse