Study your factors and multiples (LCM and GCF). Bell Ringer Study your factors and multiples (LCM and GCF).

Homework Evaluate the sum 4.12 + 09.2 132.27 + 29

MCC6.NS3 The Number System Add & Subtract Decimals Standard: MCC6.NS3 The Number System Fluently add, subtract, multiply and divide multi-digit decimals using the standard algorithm for each operation. I Can: Estimate the sum and difference with decimals. Add and subtract decimals

TIPS for adding and subtracting decimals First, line up the decimals. 2. Add or subtract from right to left. Regroup if necessary. 3. Bring the decimal straight down in your answer.

You can add a zero to help keep everything lined up Put the first number on the top of the second number and line up the decimals. Adding Examples: 4.55 + 11.3 You can add a zero to help keep everything lined up When adding or subtracting you always start from the right and work left. 4.55 + 11.3 15 85 . Line up the decimals.

You can add a zero to help keep everything lined up Put the biggest number on the top of the second number and line up the decimals. Subtracting Examples: 15.55 - 4.3 You can add a zero to help keep everything lined up When adding or subtracting you always start from the right and work left. 15.55 - 4.3 . 11 25 Line up the decimals.

Adding and Subtracting Decimals 10.0 - 0.4 = 7.8 - 0.9 = 0.25 - 0.03= 3.3 - 0.05 = 4.3 - 0.03 = 0.3 + 0.05 = 7. 5 + 4 = 0.06 + 0.001 = 0.2 + 3 = 0.006 + 0.4 =

Bell Ringer Tuesday 23.4 + 1.46 12.32 - 1.5

Homework Solve the sum or difference 24.516 – 5.25 2.784 + 45. 2

Go back to Monday’s work period.

Bell Ringer Wednesday Some SCIS 6th graders went to a math competition. Devon completed 20 problems in 12.6 seconds. Trent completed 20 problems in 15.2 seconds. What is the difference in Devon and Trent’s time? What is Devon and Trent’s time collectively.

Homework Be sure you receive a handout. Glue it to your homework page for the week.

One event in competitive swimming is the women’s 100-meter butterfly One event in competitive swimming is the women’s 100-meter butterfly. The table shows the times of different swimmers at a recent Olympics. Swimmer’s Time (s) Brittany 56.73 Markayla ? Jasmine 58.10 It took Markayla 0.37 seconds longer to finish than Brittany. What was Markayla’s time , in seconds? At a SCIS meet, a swimmer swam the women’s 100-meter butterfly in 45.34 seconds. How many seconds faster did Jasmine swim her race?

Swimmer’s Time (s) Brittany 56.73 Markayla ? Jasmine 58.10 It took Markayla 0.37 seconds longer to finish than Brittany. What was Markayla’s time , in seconds? At a SCIS meet, a swimmer swam the women’s 100-meter butterfly in 45.34 seconds. How many seconds faster/ did Jasmine swim her race Tens Ones Tenths Hundredths 5 6 7 3    5 1 Tens Ones Tenths Hundredths 5 8 1 4 3  1 2 7 6 - +

You Try

Word problems and algorithm. Additional Practice With Word problems and algorithm. Make up problems

Bell Ringer Thursday 1. 42 x 8 2. 12 x 13

Homework 1. 54 x 4 2. 2.2 x 1.2

Multiply & Divide Decimals Standard: MCC6.NS3 The Number System Fluently add, subtract, multiply and divide multi-digit decimals using the standard algorithm for each operation. I Can: Multiply decimals by whole numbers. Multiply two decimals Estimate the product of decimals.

Multiplying Decimals When multiplying a decimal by a decimal, multiply as whole numbers. To place the decimal point, find the sum of the number of decimal places in each factor. The product has the same number of decimal places.

Multiplying Decimals For example: Find 4.2 x 6.7 4.2 x 6.7 294 252 28.14 One decimal place One decimal place Two decimal places The product is 28.14.

Example: 5.63 x 3.7 4 2 two 5.63 5.63 x 3.7 x 3.7 one 1 1 39 4 1 1 + 16 8 9 2 . 8 3 1 three

Dividing Decimals “Swingin’ Monkeys”

Swinging Monkeys! Monkey See; Monkey Do! Follow these steps and you will be great at dividing decimals! Remember: Whatever the OUTSIDE monkeys do – the INSIDE monkeys do also! Monkey See; Monkey Do!

Division Vocabulary “Roof” Quotient “Outside” Divisor “Inside” Dividend

Division Vocabulary 12.64 ÷ .2 12.64 divided by .2

Steps in Dividing Decimals Make the divisor (outside number) a whole number by moving (swingin’) the decimal to the right as many places as it takes to make it a WHOLE NUMBER. In MONKEY TERMS: Whatever the outside monkey does (how far it swings) the inside monkey does also. Then the monkey climbs up and sits on the roof!

Moved (swung) the decimal point 1 place to the right Swingin’ Monkeys Moved (swung) the decimal point 1 place to the right Divisor Swingin’ Monkey

Steps in Dividing Decimals 2. Move (swing) the decimal point in the dividend the same number of places as the divisor. Dividend Moved (swung) the decimal point 1 place to the right

Steps in Dividing Decimals – Swingin’ Monkeys 3. Place (swing) the decimal point in the answer (quotient) lined up with the decimal point in the dividend (on the roof).

Steps in Dividing Decimals 4. Now, divide as usual!

Steps in Dividing Decimals 4. Divide the numbers. Make sure the decimal point stays lined up. 6 3 2 12 6 6 4

Bell Ringer Friday 2.15 x 5.4 24 ÷ 0.12

Homework 1. Find the product 12.54 X 2.3 2. Find the quotient 1.530 ÷ 0.5    

Let’s Practice Remember: The more neatly you write and keep the numbers lined up, the BETTER!

Lets Practice Together 14.2 ÷ 0.2 = 25.5 ÷ 1.5 =

You Try 0.12 ÷ 24.12 = 0.9 ÷ .972 =

More Practice 42.0 ÷ 0.3 14.56 ÷ 2.8 5.28 ÷ 4.8

Practice 1.75 x 4.6 0.54 ÷ 0.03 45.246 + 15.4 74.154 – 6.54