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.

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.

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.

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.

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.

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.