Welcome to Ms. Alger's 4th Grade!
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    • Tools & Resources
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  • Math
    • Unit 1 >
      • Place Value & Operations
      • Multiplying Whole Numbers
      • Factors, Multiples, & Patterns
      • Multi-digit Multiplication
    • Unit 2 >
      • Operations and Algebraic Thinking Problem Solving
      • Division with Remainders
      • Area, Perimeter, and Measurement
      • Developing an Understanding of Fractions
    • Unit 3 >
      • Addition and Subtraction of Fractions
      • Understanding Mixed Fractions
      • Understanding Decimals
    • Unit 4 >
      • Representing and Interpreting Data
      • Identifying Lines, Angles, and Shapes
      • Understanding and Measuring Angles
      • Problem Solving with Measurement
    • Math Games & Resources
    • Math Blog
  • Science
    • Unit 1 >
      • Weather and the Water Cycle >
        • 1.1 Vocabulary
        • 1.1 Essential Questions
        • 1.1 Learning Resources
      • Earth Materials >
        • 1.2 Vocabulary
        • 1.2 Essential Questions
        • 1.2 Learning Resources
      • Changes in the Earth's Surface >
        • 1.3 Vocabulary
        • 1.3 Essential Questions
        • 1.3 Learning Resources
    • Unit 2 >
      • Matter >
        • 2.1 Vocabulary
        • 2.1 Essential Questions
        • 2.1 Learning Resources
      • Forms of Energy >
        • 2.2 Vocabulary
        • 2.2 Essential Questions
        • 2.2 Learning Resources
    • Unit 3 >
      • Force and Motion >
        • 3.1 Vocabulary
        • 3.1 Essential Questions
        • 3.1 Learning Resources
      • The Solar System >
        • 3.2 Vocabulary
        • 3.2 Essential Questions
        • 3.2 Learning Resources
      • Characteristics of Plants >
        • 3.3 Vocabulary
        • 3.3 Essential Questions
        • 3.3 Learning Resources
    • Unit 4 >
      • Characteristics of Animals >
        • 4.1 Vocabulary
        • 4.1 Essential Questions
        • 4.1 Learning Resources
      • Ecosystems and Change Over Time >
        • 4.2 Vocabulary
        • 4.2 Essential Questions
        • 4.2 Learning Resources
    • Science Games & Resources
    • Science Blog
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  • Student Work 2012-2013
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Unit 1.1 Understanding Place Value and 
Properties of Operations

Essential Questions
  •  How does the value of a place compare to the value of the place to its immediate right? (i.e.,
  •  What is the relationship between two adjacent place values in base 10?
  •  What are some ways you can represent the value of a digit in a multidigit whole number?
  • How is place value used to read and write numbers up to 1,000,000? How do the commas help you read a number? 
  • How is place value used to write a number in its expanded form?
  • How is place value used to compare two numbers?
  • What is the meaning of the symbols <, >,and =?
  • What are the strategies for rounding multidigit whole numbers to any place up to 1,000,000?
  • Why does that strategy make sense?
  • How can you explain the rounding process using a model such as a number line?
  • What role does place value play in the standard algorithm for addition and subtraction?

Unit 1.2 Multiplying with 
Whole Numbers to Solve Problems

Essential Questions
  • What information do the numbers in a multiplication equation represent? (e.g.,number of groups, size of the group, total number)
  • How could you make a multiplicative comparison statement about a set of numbers (e.g., 3, 6, and 18)?
  • How could you write your comparison statement as equation? (one possible
comparison of 18 is 3 times as many as 6;3 Å~ 6 = 18)
  • How do additive and multiplicative comparisons differ?
  • How can you draw a rectangular array or area model to illustrate a multiplicative comparison?
  • What equation represents your drawing?
• How is place value represented in your multiplication strategy?
• When did you use the properties of operations in your multiplication strategy?
• What information is given and what information are you trying to find? How could you record this as an equation or number sentence?
• Based on the given information, what do you expect would be a reasonable answer? How did you make that approximation?
• How did you decide what operation to use?
  • Why does that operation make sense?

Unit 1.3 Factors, Multiples, and Patterns

Essential Questions
• What are the factors of a number? How do you find them?
• How can you be certain you have found all the factor pairs for a given number?
• What are the multiples of a number? How doyou find them? How many multiples does a number have?
• How is a whole number related to its factors?
• How do you determine if a number (1–100) is a multiple of a given one-digit number?
• What is the difference between a prime and composite number?
• How do you determine if a number is prime or composite?
• Given a rule, how could you generate a pattern?
• What patterns do you notice?

Unit 1.4 Understanding Multidigit Multiplication

Essential Questions
• How can you multiply numbers using place value?
• How can you show multiplication of whole numbers by using a graphic representation?
• What strategies can be used to multiply a two-digit number by a two-digit number?

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