Decimals Part II

Decimals Part 2

This page lists the Learning Objectives for all lessons in Unit 13.


Estimating Decimal Products

The student will be able to:

  • Define estimate, product, factors, estimation and compatible numbers.
  • Examine several strategies for estimating decimal products.
  • Examine examples using these strategies to estimate decimal products.
  • Recognize that estimates will vary depending on the strategy being used.
  • Determine if an estimated product is an overestimate or an underestimate.
  • Determine if an answer is reasonable using estimation.
  • 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 estimation strategies to solve problems.

Multiplying Decimals and Whole Numbers

The student will be able to:

  • Define powers, decimal digits and partial products.
  • Examine how a decimal number changes when it is multiplied by powers of ten.
  • Examine how a decimal number changes when it is divided by powers of ten.
  • Recognize, each time we multiply by a power of ten, the decimal point is moved one place to the right.
  • Recognize, each time we divide by a power of ten, the decimal point is moved one place to the left.
  • Examine examples in which a decimal is multiplied by a whole number.
  • Identify the number of decimal digits in a decimal.
  • Recognize that placement of the decimal point is very important
  • Examine detailed examples in which the product is estimated and computed.
  • Compare the estimate with the product to verify the answer makes sense.
  • Explain how (two) partial products are found.
  • Examine examples in which three partial products are found.
  • Describe the procedure for multiplying a decimal by a whole number.
  • Examine patterns of numbers being multiplied, and list each product using mental arithmetic.
  • Perform multiplication of a decimal and a whole number.
  • Identify where to place the decimal point in the product.
  • Apply multiplication procedures to complete five interactive exercises.

Multiplying Decimals

The student will be able to:

  • Recognize, when multiplying two decimals that are each less than one, the product will be less than each of the factors.
  • Examine detailed examples in which the product of two decimals is estimated and computed.
  • Compare the estimate with the product to verify the answer makes sense.
  • Connect decimal multiplication with place value.
  • Recognize that the sum of the number of decimal digits in each factor will yield the number of decimal digits in their product.
  • Describe the procedure for multiplying two decimals.
  • Perform multiplication of two decimals.
  • Evaluate a product by comparing it with an estimate.
  • Identify where to place the decimal point in the product.
  • Apply decimal multiplication procedure to complete five interactive exercises.

Estimating Decimal Quotients

The student will be able to:

  • Define quotient
  • Examine examples that use compatible numbers to estimate decimal quotients.
  • Recognize why compatible numbers is a good strategy for estimating decimal quotients.
  • Determine if an estimated quotient is an overestimate or an underestimate.
  • Determine if an answer is reasonable using estimation.
  • Connect overestimates and underestimates with the real world.
  • Estimate decimal quotients.
  • Apply estimation strategies to complete five interactive exercises.

Dividing Decimals by Whole Numbers

The student will be able to:

  • Identify the divisor, the dividend and the quotient in examples presented.
  • Examine detailed examples in which the quotient of a decimal by a whole number is estimated and computed.
  • Compare the estimate with the quotient to verify that the answer makes sense.
  • Describe the procedure for dividing a decimal by a whole number.
  • Recognize that the divisor can be greater than the dividend in a division problem.
  • Examine detailed examples in which the divisor is greater than the dividend.
  • Describe the procedure for dividing a decimal by a whole number when the divisor is greater than the dividend.
  • Examine patterns of numbers being divided, and list each quotient using mental arithmetic.
  • Perform division of a decimal by a whole number.
  • Identify where to place the decimal point in the quotient.
  • Apply division procedures to complete five interactive exercises.

Rounding Decimal Quotients

The student will be able to:

  • Examine detailed examples in which decimal is divided by a whole number.
  • Recognize when to round a decimal quotient.
  • Recognize, when rounding decimal quotients, we must divide to one more place than we are rounding to.
  • Describe the procedure for dividing a decimal by a whole number and then rounding the quotient.
  • Perform division of a decimal by a whole number and then rounding the quotient.
  • Apply decimal division strategies to complete five interactive exercises.

Dividing Decimals By Decimals

The student will be able to:

  • Recognize that multiplying both the divisor and dividend by the same power of ten maintains the equality of an expression.
  • Examine detailed examples in which two decimals are divided to find the quotient.
  • Examine detailed examples in which two decimals are divided, and the quotient is rounded.
  • Examine division problems that involve currency.
  • Describe the procedure for dividing two decimals.
  • Apply decimal division procedures to complete five interactive exercises.

Solving More 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 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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