Transcript Fifth grade fraction decimal

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