Unit 4

Multiplication and Division of Fractions and Decimal Fractions

Math

Unit Length and Description:

30 days

In Unit 4 students begin to explore multi-digit decimal multiplication and division. Students use models to multiply a fraction by a fraction.  Students explore what happens when they resize one of the factors and consider what happens to the size of the product.  Students begin to understand what happens to the size of the product when they multiply a fraction by a whole number, a whole number times a fraction, or a fraction by a fraction.  Throughout the unit, students solve real world problems involving multiplication of fractions and mixed numbers.  Students apply their understanding of whole number division to dividing whole numbers by fractions and fractions by whole numbers.

Throughout the unit students apply their knowledge of order of operations and writing expressions as they work with finding equivalent fractions and the fraction operations.

Standards:

Enduring Understandings:

·         Multiplication does not always make the product larger than the factors.

·         Division does not always make the quotient smaller than the factors.

·         A fraction is relative to the size of the whole or unit.

·         Creating visual models aids in multiplying and dividing fractions.

Essential Questions:

·         How do operations with fractions compare/relate to operations with whole numbers and decimals?

·         How is multiplying or dividing whole numbers similar to multiplying or dividing fractions?

·         How can multiplying and dividing fractions be modeled using area, a number line, or measurement models?