Chapter 1 Decimals Part 1

Day….. 1 – Adding and Subtracting Decimals 2 – Addition and Subtraction of Decimal Models 3 – Multiplying Decimals 4 - Multiplication of Decimal Models 5 – Quiz and Review

Day 1

Bell Work The Steven’s Family drove 258.5 miles a day for 3 days. How many miles did the drive in all? Justify your answer. If they continued to travel at this rate, how many miles would they drive in a week?

Vocabulary Addends- The numbers used to get a sum or total. (addition equation) Decimal - Part of a whole, represented by base ten and decimal notation. Difference- The answer to a subtraction equation. (always positive) Dividend- The number being divided in a division equation. (the first number) Divisor - The number doing the dividing. ( the second number) Equivalent- Equal or the same. Estimate- A reasonable guess made by rounding to compatible numbers. Factors- The numbers being multiplied in a multiplication equation. Product- The answer to a multiplication equation. Quotient- The answer to a division equation. Round-off Error- The difference between an estimate and accurate calculation. Sum- The answer to an addition equation.

I Can…. Identify place value.

Place Value

Add and subtract decimals. I Can…. Add and subtract decimals.

Adding and Subtracting Decimals Essential Understanding: To add and subtract decimals, Begin by writing the equation vertically, be sure to line the decimals up. Order is important when subtracting. (think what is being taken away from what?) When adding order does not matter. (think commutative property) Once you have your numbers in order and your decimals lined up, you can add zeros in front of any whole number or to the end of any decimal as needed. Next, add or subtract as you would with whole numbers. Don’t forget to borrow or carry as necessary. Finally, bring the decimal straight down into the sum or difference. Examples:

Exit Ticket On a post- it note, model and explain something you learned from today’s lesson.

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Day 2

Bell Work Louisa walked her dog 0.4 mile on Tuesday, 1.3 miles on Wednesday, 0.8 mile on Thursday and 1.7 miles on Friday. Find the total distance she walked all week. Justify your answer. If Louisa continued to walk her dog at this rate how far would she walk in 4 weeks?

Vocabulary Addends- The numbers used to get a sum or total. (addition equation) Decimal - Part of a whole, represented by base ten and decimal notation. Difference- The answer to a subtraction equation. (always positive) Dividend- The number being divided in a division equation. (the first number) Divisor - The number doing the dividing. ( the second number) Equivalent- Equal or the same. Estimate- A reasonable guess made by rounding to compatible numbers. Factors- The numbers being multiplied in a multiplication equation. Product- The answer to a multiplication equation. Quotient- The answer to a division equation. Round-off Error- The difference between an estimate and accurate calculation. Sum- The answer to an addition equation.

Model addition and subtraction equations involving decimals. I Can…… Model addition and subtraction equations involving decimals.

Modeling with Decimals Essential Understanding: Decimal + Decimal Mixed number + Mixed number Decimal – Decimal Mixed number – Mixed number.

Exit Ticket 32.4 + 2.36 = ________ 2) Write an equation for the following model.

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Day 3

Bell Work How much farther did Junnie Walk? Junnie walked for 2.5 hours at a speed of 2.3 miles per hour. Maurice walked for 1.8 hours at a speed of 4.1 miles per hour. Who walked farther? Justify your answer. (Hint: Distance = speed x time) How much farther did Junnie Walk?

Vocabulary Addends- The numbers used to get a sum or total. (addition equation) Decimal - Part of a whole, represented by base ten and decimal notation. Difference- The answer to a subtraction equation. (always positive) Dividend- The number being divided in a division equation. (the first number) Divisor - The number doing the dividing. ( the second number) Equivalent- Equal or the same. Estimate- A reasonable guess made by rounding to compatible numbers. Factors- The numbers being multiplied in a multiplication equation. Product- The answer to a multiplication equation. Quotient- The answer to a division equation. Round-off Error- The difference between an estimate and accurate calculation. Sum- The answer to an addition equation.

I Can…… Multiply decimals.

Multiplying Decimals Essential Understanding: Multiplying decimals is very similar to multiplying whole numbers: Begin by writing the equation vertically. The number with the most digits should be placed on top. Then, use the basic rules of multiplication to multiply every number on bottom by every number on top. Moving from the ones place to the tens place, and so on. Remember to drop down a line with every new digit, and don’t forget your place holders. Next, find the sum of all of all lines in the product, carrying as needed. Finally, to determine the position of the decimal in the product, count the number of decimals places in each factor. Example: 1 .5  There are two decimal places in the factors. x .5  .75  So, there will be two decimal places in the product. More Examples:

Exit Ticket The product of 3.5 and 0.8 is _______. True or False: 5.2 x 0.6 = 0.6 x 5.2

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Day 4

Bell Work True or False? 7.12 x 9.8 + 0.5 = 9.8 x 7.12 + 0.5 = 0.5( 2 + 5 ) = 1 + 2.5 b + 8.66 = 12.06 is equal to 12.06 – 8.66 = b 4.2 x d = 12.6 is equal to 12.6 ÷ 4.2 = d

Vocabulary Addends- The numbers used to get a sum or total. (addition equation) Decimal - Part of a whole, represented by base ten and decimal notation. Difference- The answer to a subtraction equation. (always positive) Dividend- The number being divided in a division equation. (the first number) Divisor - The number doing the dividing. ( the second number) Equivalent- Equal or the same. Estimate- A reasonable guess made by rounding to compatible numbers. Factors- The numbers being multiplied in a multiplication equation. Product- The answer to a multiplication equation. Quotient- The answer to a division equation. Round-off Error- The difference between an estimate and accurate calculation. Sum- The answer to an addition equation.

Model multiplication equations involving decimals. I Can…… Model multiplication equations involving decimals.

Modeling Decimals Essential Understandings: Decimal x whole number Mixed number x Whole number Mixed number x Decimal Decimal x Decimal Mixed number x Mixed number

Exit Ticket The product of 2.034 and 0.6 is ______ Without solving determine how many decimal place will be in the product of 534.8 x 9.012. Estimate the product of 5.89 x 2.12.

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Day 5

Bell Work Calculate and model the following equations 0.25 + 0.3 2.5 x 3 0.6 x 0.4

Vocabulary Addends- The numbers used to get a sum or total. (addition equation) Decimal - Part of a whole, represented by base ten and decimal notation. Difference- The answer to a subtraction equation. (always positive) Dividend- The number being divided in a division equation. (the first number) Divisor - The number doing the dividing. ( the second number) Equivalent- Equal or the same. Estimate- A reasonable guess made by rounding to compatible numbers. Factors- The numbers being multiplied in a multiplication equation. Product- The answer to a multiplication equation. Quotient- The answer to a division equation. Round-off Error- The difference between an estimate and accurate calculation. Sum- The answer to an addition equation.

Clear your desk of everything but a pencil and a blank piece of paper. Quick Quiz Clear your desk of everything but a pencil and a blank piece of paper.

Exit Ticket Create a KWL chart for dividing decimals. Know Want to Know Learned

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