Standard Algorithm Tuesday, September 16 2014

Goal I will be able to connect our diagrams and the distributive property to partial products of the standard algorithm without renaming.

Multiply by Multiples of 100 21x 400 8400 312x300 93,600 2,314x200 462,800

Multiply using the Area Model 43x12 43 2x43= 86 2 10 430+86= 516 43x10= 430

Multiply using an area Model 200 40 3 243x12 2,000 400 80 30 + 6 2,916 2 10 200x 2= 400 40x2= 80 3x2=6 40x10= 400 10x3= 3- 10x200 2000

Word Problem of the Day Scientists are creating a material that may replace damaged cartilage in human joints. This hydrogel can stretch to 21 times its original length. If a strip of hydrogel measures 3.2 cm, what would its length be when stretched to capacity? 3.2x 21= 67.2 http://www.seas.Harvard.edu/news-events/press-release/tough-gel-stretches-to- 21-times-its-length

Journal Entry 9/16 Area Model and Standard Algorithm

64x73 We will solve these problems using both an area model and the standard algorithm 70 3 70x4= 280 65 X73 195 4550 4745 4 60 4x3= 12 60x70= 4200 6x3= 18

814x39 800 10 4 9 30 9x800=7200 9x10= 90 9x4= 36 31746 30x4= 120 800x30= 24000 30x10= 300

624x82 624 x 82 1248 49920 51168

Problem Set You may work with one person on the problem set I will be calling groups to my back table. Once you are finished please move your number to your new activity.

Exit Ticket Draw an are model and solve the problem using the standard algorithm 78x42= 3276 783x42= 32,886