Fractions: Relating Repeated Addition to Multiplication (Grade 4)

This lesson set provides an introduction to addition and subtraction with like denominators in the same whole, as well as the connection between repeated addition of a unit fraction and multiplication of that unit fraction by a whole number. Students will use representations (pictorial and symbolic) and mathematical reasoning. Students will: 

• understand non-unit fractions as a sum or product of unit fractions; 
• represent non-unit fractions; and 
• prove equivalency of multiplicative expressions involving one fractional factor. 

Standards: 4.NF.A.2, 4.NF.B.3, 4.NF.B.3.A, 4.NF.B.3.B, 4.NF.B.3.D, 4.NF.B.4, 4.NF.B.4.A, 4.NF.B.4.B, 4.NF.B.4.C