New York State Common Core
5
GRADE
Mathematics Curriculum
GRADE 5 MODULE 4
Answer Key
GRADE 5 MODULE 4
Multiplication and Division of Fractions and Decimal
Fractions
Module 4:
Date:
Multiplication and Division of Fractions and Decimal Fractions
10/4/14
2

New York State Common Core
5
GRADE
Mathematics Curriculum
GRADE 5 MODULE 2
Answer Key
GRADE 5 MODULE 2
Multi-Digit Whole Number and Decimal Fraction Operations
Module 2:
Date:
Multi-Digit Whole Number and Decimal Fraction Operations
8/1/14
2014 Common Co

Lesson 10 52
NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 10
Objective: Multiply decimal fractions with tenths by multi-digit whole
numbers using place value understanding to record partial products.
Suggested Lesson Structure
Fluency Practice
Applicatio

Find the indeﬁnite integral using the substitutiun Find the indeﬁnite integral using the Sllbﬁilltllllﬂn
x=53inﬂ _t=[at‘llrl.
_ 2
LEI JI‘I'I I + I? (it
.1-
|. Same substitutiun as in Exercise 5 I. L81 .1' = tan 5'.
a I J25 — .6 a, JESCoe-i mm 2. air = se

“30 inlcgmL and mam”! ﬂ and ﬂ “’th aIJ‘F'iI‘ﬂll‘l‘ialﬁ- the integral. and identify it and u when appropnaie.
I
[it — 3" Jr J— m-
J ﬁii — 2J3]
|.H=3.'t—2 |_u=1—2V.I':
3. (hr = 3 air I: ] I
3. r u = — (I
.i. n = 4 VG
(Eu
4. Use Jo“ du. .i. Llse I n.
Select