ALEX Resources

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Lesson Plans (1) A detailed description of the instruction for teaching one or more concepts or skills. Learning Activities (1) Building blocks of a lesson plan that include before, during, and after strategies to actively engage students in learning a concept or skill. Classroom Resources (5)

ALEX Lesson Plans  
   View Standards     Standard(s): [MA2019] (5) 10 :
10. Add and subtract fractions and mixed numbers with unlike denominators, using fraction equivalence to calculate a sum or difference of fractions or mixed numbers with like denominators.
[MA2019] (5) 9 :
9. Model and solve real-word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, 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.

Example: Recognize an incorrect result 2/5+ 1/2= 3/7 by observing that 3/7 < 1/2.
Subject: Mathematics (5)
Title: Gallon Man Meets Fraction Friend: An Introductory Lesson on Adding Fractions with Unlike Denominators
Description:

This hands-on, minds-on activity helps students use what they already know about customary measurement (CCRS 2010 #18 [5.MD.1]: Convert among different-sized standard measurement units within a given measurement system.) to help them add and subtract fractions with like and unlike denominators.



ALEX Learning Activities  
   View Standards     Standard(s): [MA2019] (5) 10 :
10. Add and subtract fractions and mixed numbers with unlike denominators, using fraction equivalence to calculate a sum or difference of fractions or mixed numbers with like denominators.
[MA2019] (5) 12 :
12. Apply and extend previous understandings of multiplication to find the product of a fraction times a whole number or a fraction times a fraction.

a. Use a visual fraction model (area model, set model, or linear model) to show (a/b) x q and create a story context for this equation to interpret the product as a parts of a partition of q into b equal parts.

b. Use a visual fraction model (area model, set model, or linear model) to show (a/b) x (c/d) and create a story context for this equation to interpret the product.

c. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

d. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths to show that the area is the same as would be found by multiplying the side lengths.
Subject: Mathematics (5)
Title: Exploring Improper Fractions With Pattern Blocks
Description:

This activity is an exploration of mixed numbers, improper fractions, multiplying fractions by a whole number, and adding fractions with unlike denominators. The students will create a digital design using virtual pattern blocks. Counting the hexagon as one whole, the students will multiply the fractional pieces of their design and then use a blank pattern block template to add fractions with unlike denominators and find the total value for the picture.

This activity results from the ALEX Resource Development Summit.



ALEX Learning Activities: 1

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ALEX Classroom Resources  
   View Standards     Standard(s): [MA2019] (4) 15 :
15. Model and justify decompositions of fractions and explain addition and subtraction of fractions as joining or separating parts referring to the same whole.

a. Decompose a fraction as a sum of unit fractions and as a sum of fractions with the same denominator in more than one way using area models, length models, and equations.

b. Add and subtract fractions and mixed numbers with like denominators using fraction equivalence, properties of operations, and the relationship between addition and subtraction.

c. Solve word problems involving addition and subtraction of fractions and mixed numbers having like denominators, using drawings, visual fraction models, and equations to represent the problem.
[MA2019] (5) 10 :
10. Add and subtract fractions and mixed numbers with unlike denominators, using fraction equivalence to calculate a sum or difference of fractions or mixed numbers with like denominators.
[MA2019] (5) 14 :
14. Model and solve real-world problems involving multiplication of fractions and mixed numbers using visual fraction models, drawings, or equations to represent the problem.
Subject: Mathematics (4 - 5)
Title: Using Recipes to Add Fractions and Convert Improper Fractions to Proper Fractions or Mixed Numbers
URL: https://aptv.pbslearningmedia.org/resource/vtl07.math.number.fra.lpmixednum/using-recipes-to-add-fractions-and-convert-improper-fractions-to-proper-fractions-or-mixed-numbers/
Description:

While doubling a cupcake recipe, students practice three ways of doubling fractions using representations, addition, and multiplication. They also convert between improper fractions and mixed numbers.


   View Standards     Standard(s): [MA2019] (5) 9 :
9. Model and solve real-word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, 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.

Example: Recognize an incorrect result 2/5+ 1/2= 3/7 by observing that 3/7 < 1/2.
[MA2019] (5) 10 :
10. Add and subtract fractions and mixed numbers with unlike denominators, using fraction equivalence to calculate a sum or difference of fractions or mixed numbers with like denominators.
[MA2019] (5) 12 :
12. Apply and extend previous understandings of multiplication to find the product of a fraction times a whole number or a fraction times a fraction.

a. Use a visual fraction model (area model, set model, or linear model) to show (a/b) x q and create a story context for this equation to interpret the product as a parts of a partition of q into b equal parts.

b. Use a visual fraction model (area model, set model, or linear model) to show (a/b) x (c/d) and create a story context for this equation to interpret the product.

c. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

d. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths to show that the area is the same as would be found by multiplying the side lengths.
[MA2019] (5) 14 :
14. Model and solve real-world problems involving multiplication of fractions and mixed numbers using visual fraction models, drawings, or equations to represent the problem.
Subject: Mathematics (5)
Title: Solving Fraction Problems in Ecotopia
URL: https://aptv.pbslearningmedia.org/resource/mwnet-math-nf-ecotopia/solving-fraction-problems-in-ecotopia/
Description:

Students will solve problems using addition, subtraction, and multiplication of fractions in this interactive from WNET. In the accompanying classroom activity, students work in groups of two and watch a series of Cyberchase videos; answer associated discussion questions; and complete an activity that uses fraction knowledge, proportion, addition, and multiplication.


   View Standards     Standard(s): [MA2019] (5) 9 :
9. Model and solve real-word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, 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.

Example: Recognize an incorrect result 2/5+ 1/2= 3/7 by observing that 3/7 < 1/2.
[MA2019] (5) 10 :
10. Add and subtract fractions and mixed numbers with unlike denominators, using fraction equivalence to calculate a sum or difference of fractions or mixed numbers with like denominators.
Subject: Mathematics (5)
Title: Tune-up: Simplifying Fractions | Skills on Demand
URL: https://aptv.pbslearningmedia.org/resource/simplifying-fractions-interactive-lesson/skills-on-demand/
Description:

In this short practice, students review how to simplify fractions, or reduce fractions to their lowest terms, and practice with an interactive game.


   View Standards     Standard(s): [MA2019] (5) 9 :
9. Model and solve real-word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, 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.

Example: Recognize an incorrect result 2/5+ 1/2= 3/7 by observing that 3/7 < 1/2.
[MA2019] (5) 10 :
10. Add and subtract fractions and mixed numbers with unlike denominators, using fraction equivalence to calculate a sum or difference of fractions or mixed numbers with like denominators.
[MA2019] (6) 8 :
8. Find the greatest common factor (GCF) and least common multiple (LCM) of two or more whole numbers.

a. Use factors and multiples to determine prime factorization.
Subject: Mathematics (5 - 6)
Title: Add & Subtract With Unlike Denominators StudyJam
URL: https://studyjams.scholastic.com/studyjams/jams/math/fractions/add-sub-unlike-denom.htm
Description:

In this interactive activity, students will be led through steps to add and subtract fractions with unlike denominators. There are teaching activities as well as practice activities available. A handout that reviews the strategies taught in the activity can be printed. After utilizing this resource, the students can complete the short quiz to assess their understanding.


   View Standards     Standard(s): [MA2019] (5) 10 :
10. Add and subtract fractions and mixed numbers with unlike denominators, using fraction equivalence to calculate a sum or difference of fractions or mixed numbers with like denominators.
Subject: Mathematics (5)
Title: Cupcake Mix Meets Fractions
URL: https://aptv.pbslearningmedia.org/resource/vtl07.math.number.fra.cupcakemix/cupcake-mix-meets-fractions-cyberchase/
Description:

In this video segment from Cyberchase, Bianca helps a friend get ready for a school bake sale. They are making cupcakes but when they realize that the recipe only makes a dozen cupcakes, decide it is not enough. They want to make double that amount, so they decide to double the recipe, which includes doubling a fraction that results in an improper fraction.


ALEX Classroom Resources: 5

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