The Number System: Multiplication & Division of Fractions
Standard 7.NS.A. 2: Apply and extend previous understandings of multiplication and division
and of fractions to multiply and divide rational numbers.
Goal:
Students should be able to:
(1) define a rational number (Is a fraction a rational number?),
(2) relationships between positive and negative numbers
(3) know how to add and subtract fractions (including positive and negative numbers),
(4) multiply and divided fractions (including positive and negative numbers) and,
(5) identify and solve for fractions given a word problem.
Self Assessment of what my students should know before tackling the standard:
1. Do my students have a strong foundational knowledge of multiplication and division of numbers (without the calculator!).
2. Do my students have foundational knowledge of adding and subtracting fractions.
3. Can my students understand/identify the relationship between a numerator and denominator?
In conclusion, I want my students to have mastery in the basic application of fractions to then move onto multiplication and division of fractions.
For this standard, I'd involve a worksheet and a lot of skill drills. I particularly like this (attached) worksheet because it allows students to practice solving for all operations related to fractions. This worksheet will allow me to assess the strength and ability to solve (add and subtract) fractions and base my lesson on their abilities. As a Do Now, I would provide an addition and a subtraction word problem. Additionally, my first lesson will be a "feeler" and precursor before even officially tackling multiplication and division. If they do not succeed with addition and subtraction, I will provide additional practice (and include visual representations), and maybe even reteach said topic.
If they do succeed with addition and subtraction, I'd go through the process of multiplying and dividing simple fractions (positive and negative), then mixed fractions and then finally word problems. I'd have 3 stations of worksheets following the same order in which my mini lesson and guided practice would follow.
The following photos are examples problems that would be given:
Goal:
Students should be able to:
(1) define a rational number (Is a fraction a rational number?),
(2) relationships between positive and negative numbers
(3) know how to add and subtract fractions (including positive and negative numbers),
(4) multiply and divided fractions (including positive and negative numbers) and,
(5) identify and solve for fractions given a word problem.
Self Assessment of what my students should know before tackling the standard:
1. Do my students have a strong foundational knowledge of multiplication and division of numbers (without the calculator!).
2. Do my students have foundational knowledge of adding and subtracting fractions.
3. Can my students understand/identify the relationship between a numerator and denominator?
In conclusion, I want my students to have mastery in the basic application of fractions to then move onto multiplication and division of fractions.
For this standard, I'd involve a worksheet and a lot of skill drills. I particularly like this (attached) worksheet because it allows students to practice solving for all operations related to fractions. This worksheet will allow me to assess the strength and ability to solve (add and subtract) fractions and base my lesson on their abilities. As a Do Now, I would provide an addition and a subtraction word problem. Additionally, my first lesson will be a "feeler" and precursor before even officially tackling multiplication and division. If they do not succeed with addition and subtraction, I will provide additional practice (and include visual representations), and maybe even reteach said topic.
If they do succeed with addition and subtraction, I'd go through the process of multiplying and dividing simple fractions (positive and negative), then mixed fractions and then finally word problems. I'd have 3 stations of worksheets following the same order in which my mini lesson and guided practice would follow.
The following photos are examples problems that would be given:
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