Wyoming Math 4.NBT.5c
The Standard
Use strategies based on place value and the properties of multiplication to: Use appropriate models to explain the calculation, such as by using equations, rectangular arrays, and/or area models.
2023 Wyoming Mathematics Content and Performance Standards · Use place value understanding and properties of operations to perform multi-digit arithmetic (limited to whole numbers less than or equal to 1,000,000).
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students break each factor into place-value parts and show the multiplication with a labeled area model or array. They write an equation that matches the model and add the partial products.
What Mastery Looks Like
- For 23 × 14, a student splits the sides into 20 + 3 and 10 + 4. They label the four regions 200, 80, 30, and 12, then add them to get 322.
Common Misconceptions
- Students may treat 20 × 10 as 2 × 1 and lose the place value. They may leave out a region when both factors have two digits, or add the side lengths instead of multiplying them.
How to Assess It
- Ask students to draw and label an area model for 23 × 14, write an equation with all four partial products, and find the total.
Lesson moves
Ways to Teach It
On grid paper, draw a 23-by-14 rectangle, split the sides at 20 and 10, and label each smaller rectangle.
Ask pairs, "Why does a 23-by-14 model include 20 × 10?" Have each student write a one-sentence explanation.
Give pairs factor cards marked 12, 15, 21, and 24; have them draw two, sketch a model, and check each other's partial products.
Show 16 rows of 24 chairs on a seating chart; have students split the rows and columns to find the chair count.
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Printable 4.NBT.5c Worksheet
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Related Standards
- 5.NF.6
Solve real-world problems involving multiplication of fractions and mixed numbers by using visual fraction models or equations to represent the problem.
- 1.NBT.4
Add within 100, using concrete models or drawings and strategies based on place value:
- 4.NBT.6
Use strategies based on place value, the properties of multiplication, and/or the relationship between multiplication and division to find quotients and remaind...
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