# Decimals Part 1 This page lists the Learning Objectives for all lessons in Unit 12.

#### Introduction to Decimals

The student will be able to:

• Define decimal, mixed number, whole number, fraction, place value, expanded form, decimal digits and equivalent decimals.
• Identify the whole number and fractional parts of a decimal.
• Identify the purpose of using decimals.
• Recognize connections between decimal numbers and place value.
• Write decimals in expanded form.
• Write whole numbers as decimals.
• Recognize that writing a decimal with a zero in the one's place helps us remember that the number is less than one.
• Recognize that the decimal point is used to separate the whole number part from the fractional part.
• Apply decimal concepts to complete five interactive exercises.

#### Reading and Writing Decimals

The student will be able to:

• Define equivalent fractions.
• Write mixed numbers as decimal numbers.
• Write phrases as decimal numbers.
• Recognize that decimal places change by a factor of ten.
• Recite and write decimal numbers using words.
• Distinguish between the value of two hundred thousand, two hundred thousandths and two hundred-thousandths.
• Distinguish between the written phrases decimals such as for 0.110 and 0.0100.
• Apply reading and writing of decimals to complete five interactive exercises.

#### Comparing Decimals

The student will be able to:

• Identify the equality and the inequality symbols used to compare two decimals.
• Compare two decimals using a place-value chart.
• Express the comparison using the proper symbols.
• Recognize the importance of writing one decimal below the other when comparing two decimals.
• Recognize that writing one or more zeros to the right of the last digit of a decimal does not change its value.
• Compare two decimals without a place-value-chart.
• Describe the procedure for comparing two decimals.
• Apply the procedure for comparing two decimals to complete five interactive exercises.

#### Ordering Decimals

The student will be able to:

• List three or more decimals in order from least to greatest using a place-value chart.
• Recognize the need to compare decimals two at a time when ordering three or more decimals.
• List three or more decimals with varying places in order from least to greatest.
• Recognize the need to write one decimal beneath the other when ordering decimals.
• Recognize the need to place a number in a circle to the right of each decimal when ordering decimals.
• Solve non-routine and open-ended problems by comparing and ordering of decimals.
• Describe the procedure for ordering three or more decimals from least to greatest
• Apply the procedure for ordering three or more decimals to complete five interactive exercises.

#### Estimating Decimal Sums

The student will be able to:

• Define estimate, overestimate and underestimate.
• Describe the front-end and rounding strategies for estimating decimal sums.
• Apply these strategies to estimate decimal sums.
• Recognize that the use of different strategies can result in different estimates.
• Determine if an estimate is an overestimate or an underestimate by comparing it with the actual sum.
• Explain the difference between an overestimate and an underestimate.
• Apply estimation strategies to complete five interactive exercises.

The student will be able to:

• Examine examples of adding two decimals with varying places after the decimal point.
• Examine examples of adding three decimals with varying places after the decimal point.
• Examine examples of adding currency.
• Describe how to carry when adding decimals.
• Examine examples of adding decimals in which carrying is performed more than once.
• Describe the procedure for adding two or more decimals.
• Perform addition of two or more decimals to find the sum.
• Recognize the importance of lining up all the decimal points in a column before adding.
• Connect decimals and money.
• Apply decimal addition strategies to complete five interactive exercises.

#### Estimating Decimals Differences

The student will be able to:

• Recognize that estimation is an important tool in our daily lives.
• Estimate decimal differences by rounding to various places.
• Determine whether an estimate is reasonable or unreasonable.
• Develop a sense of which place to round to when estimating decimal differences.
• Recognize that estimates may vary for the same problem.
• Recognize, when estimating differences, the estimate should not exceed the original numbers.
• Apply estimation strategies to complete five interactive exercises.

#### Subtracting Decimals

The student will be able to:

• Examine simple examples of subtracting two decimals in which borrowing is performed.
• Examine examples of subtracting two decimals with varying places, and in which borrowing is performed.
• Recognize the importance of writing one or more extra zeros to the right so that both decimals have the same number of decimal digits.
• Describe the procedure for subtracting decimals.
• Examine examples of subtracting currency.
• Perform subtraction of decimals
• Connect decimals and money.
• Apply decimal subtraction strategies to complete five interactive exercises.

#### Solving Decimal Word Problems

The student will be able to:

• Examine examples of real-world problems involving decimals.
• Examine the solution presented for each problem.
• Examine five interactive exercises with real-world problems involving decimals.
• Analyze each problem to identify the given information.
• Formulate a strategy for solving each problem.
• Apply decimal strategies to solve problems.

#### Practice Exercises

The student will be able to:

• Examine ten interactive exercises for all topics in this unit.
• Determine which strategies and procedures are needed to complete each practice exercise.
• Compute answers by applying appropriate decimal strategies and procedures.
• Self-assess knowledge and skills acquired from this unit.

#### Challenge Exercises

The student will be able to:

• Evaluate ten interactive exercises with word problems for all topics in this unit.
• Determine which strategies and procedures are needed to complete each exercise.
• Apply decimal strategies and procedures to solve routine and non-routine word problems.
• Synthesize all information presented in this unit.
• Connect decimals to the real world.
• Develop problem-solving skills.

#### Solutions

The student will be able to:

• Examine the solution for each exercise presented in this unit.
• Identify which solutions need to be reviewed.
• Compare solutions to completed exercises.
• Identify and evaluate incorrect answers.
• Amend and label original answers.
• Identify areas of strength and weakness.
• Decide which strategies and procedures need to be reviewed from this unit.

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