Fifth Grade Decimal Workshop

ObjectiveTeachers 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 ManipulativesFractions Visualizing

http://nlvm.usu.edu/en/nav/category_g_2_t_1.html

The Fat InchDirections

ComparisonSame 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 BlocksSpend 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 Blocks2.Based on Place value3.Properties of Operations4.Equivalency

Model with Base 10 blocks

3 X 4.2

4.2 + 4.2 + 4.2

Multiplication Area Model Whole Numbers

14 x 5

13 x 14

Use graph paper and explainusing the distributive property.

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 DivisionOnly to the hundredths

Focus on measurement Division

Focus on the unit when connecting to the number line