Modeling Adding Subtracting Fractions Teaching math concepts using various models is key to building flexible math thinking in our students There are many different fractions models that could and should be used such as Fraction bars Cuisenaire rods Pattern Blocks Area models Number Lines Set Models Task 1 Modeling fraction addition and subtraction with Cuisenaire rods and pattern blocks Below are 3 different fraction equations Model each equation twice once using Cuisenaire rods and again using pattern blocks It is imperative that you first identify what represents your unit whole You should get the same answer using each model Problem A 2 3 1 9 Problem B 1 2 2 5 Problem C 1 5 1 2 5 6 Task 2 Modeling fraction addition and subtraction using other models Demonstrate how to model problem A and problem C using a number line Each tick mark on your number line should be equally spaced and the interval ( space in between marks ) must be equivalent Task 3 Solving application problems of addition and subtraction Solve each word problem Use a model ( your choice ) to justify each answer 1 ) A cornbread recipe calls for 3 4 cup of milk Rachel used the last 5 8 cup of milk in one carton She opens another carton and pours the remaining amount needed How much milk does Rachel use from the newly opened carton 2 ) Emilio rides 1 4 mile from his house to his friend Jake s house Together they ride 1 3 8 miles to school How far does Emilio ride to school that day 3 ) Jordan drives by Mark s house on his way home from school every day The school is 1 7 1 0 of a mile from Jordan s house and Mark s house is 1 2 a mile from the school How far is Jordan s house from Mark s 4 ) An elephant can drink all the water from a reservoir in 4 days The rhinoceros can drink all the water from the same reservoir in 1 2 days, if drinks alone How long will it take to empty the reservoir, if the elephant and the rhinoceros drink together ( Hint pattern blocks ) 5 ) 1 3 of a flagpole is painted red 1 2 of it is painted blue Three feet of the pole is painted green What is the height of the flag pole 6 ) Jill ran around 2 3 of the track Josh ran around 5 6 of the track How much farther did Josh run than Jill 7 ) Write a story problem that would be solved by subtracting 2 2 3 1 2

Question

Modeling Adding   Subtracting Fractions Teaching math concepts using various models is key to building flexible math thinking in our students  There are many different fractions models that could and should be used such as Fraction bars Cuisenaire rods Pattern Blocks Area models Number Lines Set Models Task   1   Modeling fraction addition and subtraction with Cuisenaire rods and pattern blocks  Below are 3 different fraction equations  Model each equation twice   once using Cuisenaire rods and again using pattern blocks  It is imperative that you first identify what represents your unit   whole   You should get the same answer using each model  Problem A  2 3   1 9 Problem B  1 2 2 5 Problem C  1 5 1 2 5 6 Task   2   Modeling fraction addition and subtraction using other models Demonstrate how to model problem A and problem C using a number line  Each tick mark on your number line should be equally spaced and the interval ( space in between marks ) must be equivalent  Task   3   Solving application problems of addition and subtraction Solve each word problem  Use a model ( your choice ) to justify each answer  1   ) A cornbread recipe calls for 3 4 cup of milk  Rachel used the last 5 8 cup of milk in one carton  She opens another carton and pours the remaining amount needed  How much milk does Rachel use from the newly opened carton  2   ) Emilio rides 1 4 mile from his house to his friend Jake s house  Together they ride 1 3 8 miles to school  How far does Emilio ride to school that day  3   ) Jordan drives by Mark s house on his way home from school every day  The school is 1 7 1 0 of a mile from Jordan s house and Mark s house is 1 2 a mile from the school  How far is Jordan s house from Mark s   4   ) An elephant can drink all the water from a reservoir in 4 days  The rhinoceros can drink all the water from the same reservoir in 1 2 days, if drinks alone  How long will it take to empty the reservoir, if the elephant and the rhinoceros drink together  ( Hint  pattern blocks ) 5   ) 1   3 of a flagpole is painted red  1   2 of it is painted blue  Three feet of the pole is painted green  What is the height of the flag pole  6   ) Jill ran around 2   3 of the track  Josh ran around 5   6 of the track  How much farther did Josh run than Jill  7   ) Write a story problem that would be solved by subtracting 2 2 3 1 2

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Modeling Adding & Subtracting Fractions Teaching math concepts using various models is key to building flexible math thinking in our students. There are many different

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