Chapter 3

Fractions & Mixed Numbers

Explain how adding, subtracting, multiplying and dividing fractions and mixed numbers relate to an everyday task.
How does the operation of multiplying and dividing whole numbers relate to multiplying and dividing fractions?

Students will know and understand:

Students Will:

Add and subtract two unlike fractions where one denominator is not a multiple of the other.
Estimate sums and differences of fractions and mixed numbers.
Understand and apply the relationship between fractions, mixed numbers and division fractions.
Express fractions, division expressions and mixed numbers as decimals.
Add and subtract mixed numbers with or without renaming.
Compare the size of a product to the size of its factors.

Formative Test: Common

Upon completion of Unit 3:

5.NF.A.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.
5.NF.A.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.
MP.1. Make sense of problems and persevere in solving them.
MP.2. Reason abstractly and quantitatively.
MP.3. Construct viable arguments and critique the reasoning of others.
MP.4. Model with mathematics.
MP.6. Attend to precision.
MP.7. Look for and make use of structure.