3.5.C
The Standard
describe a multiplication expression as a comparison such as 3 x 24 represents 3 times as much as 24
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students explain a multiplication expression as one quantity being a certain number of times another quantity. They identify which factor gives the multiplier and which gives the starting amount.
What Mastery Looks Like
- Students correctly identify the starting amount and the multiplier in an expression. They can draw a model, write a matching comparison, and explain each factor’s role.
Common Misconceptions
- Students may treat both factors as interchangeable because the product stays the same. They may also describe equal groups without stating which quantity is being compared to which.
How to Assess It
- Exit ticket: Explain 4 × 7 as a comparison, then draw a model showing which number is the starting amount.
Lesson moves
Ways to Teach It
Use linking cubes to build one train of 5 and another with 3 times that amount, then label the model 3 × 5.
Write how 4 × 6 and 6 × 4 tell different comparison stories even though their products match.
Deal two number cards, then have partners race to draw and explain a comparison represented by their multiplication expression.
Display a $3 pencil and a $12 notebook, then have students write and explain the multiplication comparison.
Keep exploring
Related Standards
- 1.2.G
represent the comparison of two numbers to 100 using the symbols >, <, or =
- 6.4.C
give examples of ratios as multiplicative comparisons of two quantities describing the same attribute
- 1.5.E
understand that the equal sign represents a relationship where expressions on each side of the equal sign represent the same value(s)
- 4.3.D
compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or <
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