4.4.C

Math4th GradeNumber and operations

The Standard

represent the product of 2 two-digit numbers using arrays, area models, or equations, including perfect squares through 15 by 15

Texas Essential Knowledge and Skills for Mathematics

Teacher's field guide

What Students Need to Do: Students break each factor into tens and ones, then show the multiplication with a partitioned array or rectangle. They connect each section to a partial product and combine the parts in an equation.
What Mastery Looks Like: A student can model 23 × 14 by partitioning both factors into tens and ones. The student labels each region, finds every partial product, and shows that their sum equals 322.
Common Misconceptions: Students may treat tens as single units, so 20 × 10 becomes 2 instead of 200. They may skip a partial product, mislabel side lengths, or add the four parts incorrectly.
How to Assess It: Give this exit ticket: Draw and label an area model for 13 × 12, then write an equation showing all partial products and the total.

Lesson moves

Build 14 × 12 with base-ten blocks, arrange the pieces as a rectangle, and record the four partial products.
Ask students to explain in writing why a 15 × 15 area model can be split into 10s and 5s.
Have pairs draw two number cards, create a labeled area model on grid paper, and check each other’s product.
Plan a 24-by-18-foot garden, then use an area model to find the total square feet needed.

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