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FriendlyFractionspt6.mp4
This podcast is part of the series: Friendly Fractions

Creator: Tynisa Williams
School/Organization: Auburn University Montgomery
Overview:
This podcast is part of a series on operations with fractions. Designed with the middle school student in mind, it is a refresher on the basics of fractions. The lesson proportions, equivalent proportions, and solving proportions. The podcast can be used as a lesson or as a supplement to a lesson. A suggestion would be to stop the lesson as it goes along and allow the students to work problems out themselves.
Length: 03:54
Content Areas: Math
Alabama Course of Study Alignments and/or Professional Development Standard Alignments:
MA2015 (6)  4. Interpret and compute quotients of fractions, and solve word problems involving division of fractions, e.g., by using visual fraction models and equations to represent the problem. [6NS1] Examples: Create a story context for (^{2}/_{3}) ÷ (^{3}/_{4}), and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (^{2}/_{3}) ÷ (^{3}/_{4}) = ^{8}/_{9} because ^{3}/_{4} of ^{8}/_{9} is ^{2}/_{3}. (In general, (^{a}/_{b}) ÷ (^{c}/_{d}) = ^{ad}/_{bc}.) How much chocolate will each person get if 3 people share ^{1}/_{2} lb of chocolate equally' How many ^{3}/_{4} cup servings are in ^{2}/_{3} of a cup of yogurt' How wide is a rectangular strip of land with length ^{3}/_{4} mi and area ^{1}/_{2} square mi'   MA2015 (6)  18. Solve realworld and mathematical problems by writing and solving equations of the form
x + p = q and px = q for cases in which p, q, and x are all nonnegative rational numbers. [6EE7]   MA2015 (7)  4. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. [7NS1] a. Describe situations in which opposite quantities combine to make 0. [7NS1a] Example: A hydrogen atom has 0 charge because its two constituents are oppositely charged. b. Understand p + q as the number located a distance q from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing realworld contexts. [7NS1b] c. Understand subtraction of rational numbers as adding the additive inverse, p  q = p + (q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in realworld contexts. [7NS1c] d. Apply properties of operations as strategies to add and subtract rational numbers. [7NS1d]   MA2015 (7)  5. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. [7NS2] a. 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 realworld contexts. [7NS2a] b. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with nonzero 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 realworld contexts. [7NS2b] c. Apply properties of operations as strategies to multiply and divide rational numbers. [7NS2c] d. 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. [7NS2d]   MA2015 (7)  6. Solve realworld and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.) [7NS3]   MA2015 (7)  7. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. [7EE1]   MA2015 (7)  9. Solve multistep reallife and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form, convert between forms as appropriate, and assess the reasonableness of answers using mental computation and estimation strategies. [7EE3] Examples: If a woman making $25 an hour gets a 10% raise, she will make an additional ^{1}/_{10} of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 ^{3}/_{4} inches long in the center of a door that is 27 ^{1}/_{2} inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.  
