Fifth Grade Decimal Workshop Objective Teachers will have a deeper understanding of the Decimal Domain of the Common Core. They will demonstrate their understanding through their struggle of working through the given activities and through the use of precise language when sharing their thinking. Introducing Activity Put ( * ) next to what you are sure of Put ( ? ) next to what you are unsure Put an (X) next what you do not understand Congruent figures have the same area. The Focus is Area and not the Shape What fraction is represented by the following shaded area? National Library of Virtual Manipulatives Fractions Visualizing http://nlvm.usu.edu/en/nav/category_g_2_t_1.html The Fat Inch Directions Comparison Same Numerator Same Denominator Compare to a benchmark Counting with unit Fraction Foundation is still the unit .6 = .1 + .1 + .1 +.1 + .1 +.1 Decomposition of Number is still a Foundation 1 = .1 + .9 1 = .2 + .8 Equivalence by Subdividing Work with base 10 Blocks Spend time discussing and creating 2 activities you can use in your class with the Base 10 blocks. Creating a Number Inequality … Connect to the Numberline Prove using Base 10 Blocks Prove using the Number line If then .6 = .60 Addition Adjective Noun Connection 3 tenths + 25 hundredths 30 hundredths + 25 hundredths 55 hundredths Connect to Decimal Addition . 3 + .25 = .30 +.25 =.55 Decimal to Fraction Model and Solve Model and Solve Model and Solve Model and Solve 2.1 +4.39 Model and Solve 3.23 + 5.4 4.8 + 3.26 Model and Solve 5.NBT.7 1.Base 10 Blocks 2.Based on Place value 3.Properties of Operations 4.Equivalency Model with Base 10 blocks 3 X 4.2 4.2 + 4.2 + 4.2 Multiplication Area Model Whole Numbers Use graph paper and explain using the distributive property. 14 x 5 13 x 14 Multiplying (Area Model) What Numerical Expression is being modeled? What is the numerical Expression being modeled? How would you connect this model to the Distributive property? Build and simplify Your numerical expression. Using the Area Model Multiply 2.3 X 3.4 3.4 X 4.2 Connect the model to the property Base 10 to Distributive Property Connect to the Standard Algorithm Decimal Division Only to the hundredths Focus on measurement Division Focus on the unit when connecting to the number line