Topic E multiplying decimals STANDARD - 5.NBT.2, 5.NBT.3, 5.NBT.7

Objective: M ultiply a decimal fraction by single-digit whole numbers, relate to a written method through application of the area and place value understanding, and explain the reasoning used. Grade 5 Module 1 Lesson 11

MATERIALS NEEDED FOR THIS LESSON Place Value Chart Personal White Boards Teacher Student Teacher Pages Student Pages P roblem Set Exit Ticket Homework

Fluency Practice (10 minutes)

Take Out the Unit 5.NBT.1 4 minutes = _________ thousandths Say the number: = 7 tens _____ thousandths

= 736 tenths _________ thousandths = _________ hundredths 8 thousandths

Add and Subtract Decimals 5.NBT.7 6 minutes 7258 thousandths + 1 thousandth = 7 ones 258 thousandths + 3 hundredths = 7258 thousandths + 1 thousandth =

7 ones 258 thousandths + 4 tenths = 6 ones 435 thousandths + 4 hundredth =

6 ones 35 hundredths + 7 thousandths = 2 ones 37 thousandths + 5 tenths =

9 tenths - 7 thousandths - 4 thousandths = 4 ones 8 hundredths - 2 ones = ___ ones ___ hundredths

9 ones 708 thousandths - 4 tenths = 4 ones 582 thousandths - 3 hundredths =

4 ones 73 thousandths - 4 hundredths =

Application Problem (5 minutes) After school, Marcus ran 3.2km and Cindy ran 1.95km. Who ran farther? How much farther?

Concept Development (35 minutes)

Problem 1 Multiplying decimals 3 x 0.2 ones tenths

Problem 2 Multiplying decimals 3 x 0.3 ones tenths

Problem 3 Multiplying decimals 4 x 0.3 ones tenths

Problem 4 Multiplying decimals 2 x 0.43 ones tenths hundredths 4 tenths + 3 hundredths = 0.86

Problem 5 Multiplying decimals 2 x ones tenths hundredthsthousandths 4 tenths + 2 hundredths + 3 thousandths = tenths 4 hundredths 6 thousandths

Problem 6 Multiplying decimals 4 x ones tenths hundredthsthousandths 4 tenths + 2 hundredths + 3 thousandths = tenths 8 hundredths 12 thousandths

Problem 7 Multiplying decimals 6 x one + 2 tenths + 1 hundredth = tenths 6 hundredths6 ones

2 one + 4 tenths + 1 hundredth = tenths 7 hundredths14 ones Problem 7 Multiplying decimals 7 x 2.41

2 one + 3 tenths + 4 hundredth = tenths 32 hundredths16 ones Problem 7 Multiplying decimals 8 x 2.34

Problem Set (10 minutes) Do Your Personal Best (Complete independently!)

Student Debrief (10 minutes) #3 students share work and articulate which units are being multiplied and composed into larger ones. Compare #1c and 1d.

EXIT TICKET (3 minutes) Complete the exit ticket and turn in...

HOMEWORK