In Grade 4, instructional time should focus on three critical areas: (1) developing understanding and fluency with multi-digit multiplication, and developing understanding of dividing to find quotients involving multi-digit dividends; (2) developing an understanding of fraction equivalence, addition and subtraction of fractions with like denominators, and multiplication of fractions by whole numbers; (3) understanding that geometric figures can be analyzed and classified based on their properties, such as having parallel sides, perpendicular sides, particular angle measures, and symmetry.
Generalize place value understanding for multi-digit whole numbers.
Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.
For example, recognize that 700 รท 70 = 10 by applying concepts of place value and division.
| Content | Skills | Learning Targets | Big Ideas | Essential Questions |
|---|---|---|---|---|
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1 - Recognize (in a multi-digit whole number the digit in one place represents ten times what it represents in the place to its right)
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1 - I can recognize in a multi-digit whole number the digit in one place represents ten times what it represents in the place to its right.
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A. Each place value in a whole number represents ten times the place value to its right.
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A.1 What is the relationship between place values?
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Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
| Content | Skills | Learning Targets | Big Ideas | Essential Questions |
|---|---|---|---|---|
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Multi-digit whole numbers
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1 - Read (multi-digit whole numbers using base-ten numerals)
1 - Read (multi-digit whole numerals using number names)
1 - Read (multi-digit whole numerals using expanded form)
1 - Write (multi-digit whole numbers using base-ten numerals)
1 - Write (multi-digit whole numerals using number names)
1 - Write (multi-digit whole numerals using expanded form)
2 - Compare (two multi-digit numbers based on meanings of the digits)
1 - Record (results of comparisons using >, =, and <)
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1 - I can read multi-digit whole numbers using base-ten numerals.
1 - I can read multi-digit whole numerals using number name.
1 - I can read multi-digit whole numerals using expanded form.
1 - I can write multi-digit whole numbers using base-ten numerals.
1 - I can write multi-digit whole numerals using number names.
1 - I can write multi-digit whole numerals using expanded form.
2 - I can compare two multi-digit numbers based on meanings of the digits.
1 - I can record results of comparisons using >, =, and <.
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A. Multi-digit numbers can be read and written in several ways.
B. Multi-digit numbers are compared by place value.
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A.1 How can I read and write multi-digit numbers?
B.1 How do I compare multi-digit numbers?
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Use place value understanding to round multi-digit whole numbers to any place.
| Content | Skills | Learning Targets | Big Ideas | Essential Questions |
|---|---|---|---|---|
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3 - Use (place value to round multi-digit whole numbers to any place)
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3 - I can use place value to round multi-digit whole numbers to any place.
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A. An understanding of place value is necessary to be able to round multi-digit whole numbers.
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A.1 What part does place value play in rounding numbers?
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Use place value understanding and properties of operations to perform multi-digit arithmetic.
Fluently add and subtract multi-digit whole numbers using the standard algorithm.
| Content | Skills | Learning Targets | Big Ideas | Essential Questions |
|---|---|---|---|---|
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2 - Add (multi-digit whole numbers with fluency)
2 - Add (using the standard algorithm)
2 - Subtract (multi-digit whole numbers with fluency)
2 - Subtract (using the standard algorithm)
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2 - I can add multi-digit whole numbers with fluency.
2 - I can add using the standard algorithm.
2 - I can subtract multi-digit whole numbers with fluency.
2 - I can subtract using the standard algorithm.
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A. Being able to add and subtract quickly makes solving math problems faster and easier.
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A.1 Why should I be able to add and subtract quickly?
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Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
| Content | Skills | Learning Targets | Big Ideas | Essential Questions |
|---|---|---|---|---|
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2 - Multiply (whole numbers up to four digits by a one-digit number)
1 - Multiply (2 two-digit numbers)
3 - Use (strategies based on place value, properties of operations)
3 - Illustrate (calculation by using equations)
3 - Illustrate (calculation using area models)
3 - Explain (calculation by using equations)
3 - Explain (calculation using area models)
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2 - I can multiply whole numbers up to four digits by a one-digit number.
1 - I can multiply 2 two-digit numbers.
3 - I can use strategies based on place value, properties of operations.
3 - I can illustrate calculation by using equations.
1 - I can illustrate calculation by using rectangular array..
3 - I can illustrate using area models.
3 - I can explain calculation by using equations.
1 - I can explain calculation by using rectangular arrays.
3 - I can explain calculation using area models.
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A. Numbers are multiplied together according to place value.
B. Several strategies can be used to aid in solving multiplication problems.
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A.1 Why do I use place value when I multiply?
B.1 What can I do if I need some help multiplying numbers?
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Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
| Content | Skills | Learning Targets | Big Ideas | Essential Questions |
|---|---|---|---|---|
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2 - Find (whole-number quotients and remainders with up to 4-digit dividends and 1-digit divisors)
3 - Use (strategies based on place value, properties of operations and/or relationship between multiplication and division)
3 - Illustrate (calculation by using equations)
3 - Illustrate (using area models)
3 - Explain (calculation by using equations)
3 - Explain (using area models)
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2 - I can find whole-number quotients and remainders with up to 4-digit dividends and 1-digit divisors.
3 - I can use strategies based on place value, properties of operations and/or relationship between multiplication and division.
3 - I can illustrate calculation by using equations.
3 - I can illustrate using area models.
3 - I can explain calculation by using equations.
3 - I can explain calculation using rectangular arrays.
3 - I can explain using area models.
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A. Numbers are divided according to place value.
B. Several strategies can be used to aid in solving division problem
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A.1 Why do I use place value when I divide?
B.1 What can I do if I need some help dividing numbers?
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