NF-Use+equivalent+fractions+as+a+strategy+to+add+&+subtract+fractions

5.NF.1. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. //For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)// 5.NF.2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. //For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.// || ===‍‍‍‍‍‍‍‍‍‍**Anchor Standard**===
 * ===**Common Core Standards**===

**Mathematical Practice(s)**
4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 8. Look for and make use of structure. 1. Make sense of problems and persevere in solving them. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 6. Attend to precision. 8. Look for and make use of structure. || 5.TT.1 Use __technology__ tools and skills to reinforce and extend classroom concepts and activities. || ===‍‍‍‍‍‍‍‍‍‍**Revised Bloom's Level of thinking**===
 * 5.NF.1**
 * 5.NF.2**
 * ===‍‍‍‍‍‍‍‍‍‍**Information Technology Standard**===

**Evaluate**
|| 5.NF.1 I can add and subtract fractions with unlike denominators including mixed numbers.
 * Recall adding and subtracting of fractions including mixed numbers with like denominators.
 * Recall creating equivalent fraction.
 * Compare fractions with like and unlike denominators.
 * Create equivalent fractions with unlike denominator including mixed numbers.
 * Decompose mixed numbers into the sum of a whole number and a proper fraction in order to add and subtract more efficiently.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Add and subtract fractions with unlike denominators including mixed numbers.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Assess final fractional answers and convert into simplest form.

<span style="font-family: 'Times New Roman','serif'; font-size: 16px;">5.NF.2 I can solve word problems involving addition and subtraction of fractions including unlike denominators by using benchmark fractions and mental math.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Represent word problems with fraction models (eg number line, area models, and clock models).
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Represent word problems with equations.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Estimate solutions to problems using benchmark fractions and number sense. (eg. 5/6 is almost 1 whole, 2/5 is almost ½, so 5/6 + 2/5 is almost 1 1/2).
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Compare estimate to actual outcomes in order to determine reasonableness of solutions.
 * <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">When appropriate, convert between fractions and decimals to make problems easier to solve. (A student explains how he solved ¾ + 1/10. “I knew that ¾ is equal to .75 and 1/10 is equal to .1. I added .75 and .1. The answer was .85 which is 85/100 or 17/20)
 * <span style="color: black; font-family: 'Arial','sans-serif'; font-size: 13px;">Solve word problems involving addition and subtraction of fractions.

‍‍‍‍‍‍‍‍‍‍**Essential Vocabulary**
<span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Numerator <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Denominator <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Like denominator <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Unlike denominator <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Proper fraction <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Improper fraction <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Mixed fraction <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Common denominator <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Simplify <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Reduce <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Equivalent fractions <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Sum <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Difference || 5.NF.2 <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Fraction <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Numerator <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Denominator <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Like denominator <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Unlike denominator <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Proper fraction <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Improper fraction <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Mixed fraction <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Common denominator <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Simplify <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Reduce <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Equivalent fractions <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Sum <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Difference <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Benchmark <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Reasonableness <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Equation <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Decimal <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Estimate ||
 * 5.NF.1 <span style="font-family: 'Arial','sans-serif'; font-size: 13px;">Fraction

‍‍‍‍‍‍‍‍‍‍**Instructional Resources**
www.internet4classrooms.com/skill_builders/fractions_percent_math_fifth_5th_grade.htm www.math-play.com

===‍‍‍‍‍‍‍‍‍‍**Notes and Additional Information**===