NSA.2a Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
A.2b Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world contexts
A.2c Apply properties of operations as strategies to multiply and divide rational numbers.
A.2d Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats
A.2b Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world contexts
A.2c Apply properties of operations as strategies to multiply and divide rational numbers.
A.2d Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats
Multiplying and Dividing Integers & Rational Numbers
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Begin 7.N.S.2 by reviewing multiplying and dividing decimals.
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Complete page 1 in packet and show teacher the long division the next time you see her.
Watch this video if you need a reminder on how to divide with decimals!
click picture link
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Multiplication and Division Algorithms Investigation
Read through and answer questions on page 2 and 3 in your packet.
Define algorithm in the "vocabulary" section of your notebook (picture link).
Work alone or with a partner.
Define algorithm in the "vocabulary" section of your notebook (picture link).
Work alone or with a partner.
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Distributive Property
6(3k + 4)= try it
6(3k + 4)= try it
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GCF Method of Multiplication of Fractions
Read through this explanation and fill in page 4.
The top of page 4 is separated in half.
The left side (problem) you must show all the parts of the math problem below.
The right side (steps) write the 4 worded steps for solving the same math problem
The left side (problem) you must show all the parts of the math problem below.
The right side (steps) write the 4 worded steps for solving the same math problem
Do the next 3 problems on page 4 using this new method. Do letter "d" if you are confident with the method! You do not have to write the worded steps again.
Read the paragraph on the left. Finish filling in page 4 of packet. Use the solution on the right to check your work for a & b from above.
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Do page 6 in the packet on simplifying numerators and denominators before you do this skill. If you are struggling to complete this worksheet, watch the next video first.
You must show ALL simplifying before multiplying!
When finished with pg.4 WS show to teacher.
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Multiply fractions
G.9 to 80
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Multiplying fractions, wholes and mixed number
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Khan Academy- Inverse Property of Multiplication
Multiplicative Inverse (That is a mouthful!)
Watch this video and take notes on page 5 while you watch.
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Dividing Fractions Video
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1) Remember to change mixed numbers into improper fractions
2) Change into related multiplication problem
3) Simplify
4) Multipy
If you need additional practice use the practice link before the "Math I can..." statements.
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Multiplying Mixed Numbers
Dividing Mixed Numbers
Page 7
Check worksheet answers here, be sure to mark wrong on WS and correct.
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Binder & Checklist
Show Mrs. Johnson or Mrs. Wallen & DO REVIEW!
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N.S.2 Multiply & Divide Integers & Rational Numbers
Review ET
Take this quiz to review for your final check for understanding.
Ask to re-take (if you wish).
Ask to re-take (if you wish).
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Study for your assessment
Math "I Can..."
Multiplying and Dividing Integers & Rational Integers
- Define algorithm
- Multiply decimals
- Divide decimals using long division
- Know the algorithms for x /
- Understand the distributive property and find missing terms
- Simplify using the GCF method
- Multiply fractions (including wholes and mixed numbers)
- Find the reciprocal and Inverse Property of multiplication
(multiplicative inverse) be able to give examples
- Divide fractions (including wholes and mixed numbers)
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In regards to this goal...
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Multiply Mixed Numbers
Watch this video.
Take notes in notebook.
Watch this video.
Take notes in notebook.
Divide Fractions
Watch this video and take notes in notebook.
Watch this video and take notes in notebook.