Unit
Multiplying Whole Numbers
Local Objective
At the completion of this unit, students will be able to:
- Identify and apply the Commutative, Associative, Identity, and Zero Properties of Multiplication.
- Mentally compute products of whole numbers using place-value patterns and the properties of multiplication.
- Use rounding to estimate products of whole numbers.
- Multiply two-digit numbers, or greater, by two-digit numbers.
- Use exponential notation.
-
Use diagrams and write equations to solve problems.
Objective used to evaluate students
Yes
Assessment Activity
Students will be assessed:
- Using the 3-1 Multiplication Properties Quick Check and Practice worksheets to show the student can identify and apply the Commutative, Associative, Identity, and Zero Properties of Multiplication.
- Using the 3--2 Using Mental Math to Multiply Quick Check and Practice worksheets to show the student can mentally compute products of whole numbers using place-value patterns and the properties of multiplication.
- Using the 3-3 Estimating Products Quick Check and Practice worksheets to show that the student can use rounding to estimate products of whole numbers.
- Using the 3-4, 3-5, and 3-6 Multiplication Quick Check and Practice worksheets to show the student can multiply two-digit numbers by factors with one, two, three, or more digits.
- Using the 3-7 Exponential Notation Quick Check and Practice worksheets to show the student can use exponential notation.
- Using the 3-8 Using Diagrams and Writing Equations to Solve Problems Quick Check and Practice worksheets to show the student can use diagrams and write equations to solve problems.
- Using the Topic 3 Multiplying Whole Numbers Multiple Choice Exam to show students can:
- Identify and apply the Commutative, Associative, Identity, and Zero
Properties of Multiplication.
(Questions 3, 14)
- Mentally compute products of whole numbers using place-value patterns and the properties of multiplication. (Questions 7,9)
- Use rounding to estimate products of whole numbers. (Questions 1, 11)
- Multiply two-digit numbers, or greater, by two-digit numbers. (Questions 2, 5, 6, 8, 10)
- Use exponential notation. (Questions 4, 12)
- Use diagrams and write equations to solve problems. (Question 13)
Using the Topic 3 Multiplying Whole Numbers Free Response Exam:
-
Identify and apply the Commutative, Associative,
Identity, and Zero Properties of
Multiplication. (Questions 1-8)
- Mentally compute products of whole numbers using place-value patterns and the properties of multiplication. (Questions 9-12)
- Use rounding to estimate products of whole numbers. (Questions 13-16)
- Multiply two-digit numbers, or greater, by two-digit numbers. (Questions 17-28)
- Use exponential notation. (Questions 29-31)
- Use diagrams and write equations to solve problems. (Questions 32-34)
Level of Expectation
80%
List of concepts and Evaluation Types
Concept | Evaluation Type |
Use diagrams and write equations to solve problems | CR |
Use diagrams and write equations to solve problems | SR |
Use exponential notation | CR |
Use exponential notation | SR |
Multiply two-digit, or greater numbers | CR |
Multiply two-digit, or greater numbers | SR |
Use rounding to estimate products of whole numbers | CR |
Use rounding to estimate products of whole numbers | SR |
Mentally compute products of whole numbers | CR |
Mentally compute products of whole numbers | SR |
Identify and apply the properties of multiplicatio | CR |
Identify and apply the properties of multiplicatio | SR |
Learning Activity
During whole group instruction, students will:
- Take notes from the SMART Board, follow along as the teacher works
example problems, working out the problems on their slates, and then work guided practice questions
on Multiplication Properties.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions on Mental Multiplication of Whole Numbers, using place-value patterns and properties of multiplication to help them find products.
- Take notes from the SMART Board, follow along as the teacher works
example problems, working out the problems on their slates, and then work guided practice questions
on Rounding/Estimating Products of Whole Numbers.
- Take notes from the SMART Board, follow along as the teacher works
example problems, working out the problems on their slates, and then work guided practice questions
on Multiplying Two-Digit Factors by One, Two, Three, or Greater Digits.
- Take notes from the SMART Board, follow along as the teacher works
example problems, working out the problems on their slates, and then work guided practice questions
on Using Exponential Notation.
- Take notes from the SMART Board, follow along as the teacher works
example problems, working out the problems on their slates, participate in discussion, and then work guided practice questions
on Using Diagrams and Writing Equations to Solve Problems.
During independent work time, students will complete the:
- 3-1 Multiplication Properties Quick Check and Practice worksheet.
- 3-2 Using Mental Math to Multiply Quick Check and Practice worksheet.
- 3-3 Estimating Products Quick Check and Practice worksheet.
- 3-4, 3-5, and 3-6 Multiplication Quick Check and Practice worksheet.
- 3-7 Exponential Notation Quick Check and Practice worksheet.
- 3-8 Using Diagrams and Writing Equations to Solve Problems Quick Check and Practice worksheet.
Instructional Method
During whole group instruction, the teacher will:
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on Multiplication Properties.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use
prepared lesson materials to discuss, model examples and provide guided
practice problems, providing assistance and feedback as needed on Mental Computation of Products.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use
prepared lesson materials to discuss, model examples and provide guided
practice problems, providing assistance and feedback as needed on Using Rounding to Estimate.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use
prepared lesson materials to discuss, model examples and provide guided
practice problems, providing assistance and feedback as needed on Multiplying Two-Digit Factors by One, Two, Three, or Greater Digits.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use
prepared lesson materials to discuss, model examples and provide guided
practice problems, providing assistance and feedback as needed on Using Exponential Notation.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use
prepared lesson materials to discuss, model examples and provide guided
practice problems, providing assistance and feedback as needed on Using Diagrams and Writing Equations to Solve Problems.
While students are completing independent practice problems, the teacher will observe and assist students that are having difficulties.
Content Standards
MA 1
Process Standards
1.10, 1.8, 3.2, 3.3
Resources
Scott Foresman EnVision Math Series Materials
www.pearsonsuccessnet.com
SMART Board
Correction Exercise
Scott Foresman EnVision Math Topic 3 Reteaching Materials
Enrichment Exercise
Scott Foresman EnVision Math Enrichment Materials
Center Activities and/or manipulatives
GLEs v2.0 and CLEs
GLE Code | Discipline | Strand | Big Idea | Concept | Grade Level/Course | GLE |
MA/N/3/D/5/a. | Mathematics | Numbers and Operations | Compute fluently and make reasonable estimates | Estimate and justify solutions | 5th Grade | estimate and justify products and quotients of whole numbers and sums of differences of decimals and fractions |
MA/A/2/A/5/a. | Mathematics | Algebraic Relationships | Represent and analyze mathematical situations and structures using algebraic symbols | Represent mathematical situations | 5th Grade | using all operations, represent a mathematical situation as an expression or number sentence using a letter or symbol |
MA/A/3/A/5/a. | Mathematics | Algebraic Relationships | Use mathematical models to represent and understand quantitative relationships | Use mathematical models | 5th Grade | model problem situations and draw conclusions, using representations such as graphs, tables or number sentence |