3.5.B
The Standard
represent and solve one- and two-step multiplication and division problems within 100 using arrays, strip diagrams, and equations
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students model and solve one-step and two-step situations involving equal groups, sharing, and grouping. They connect each situation to an array, strip diagram, and equation.
What Mastery Looks Like
- Students choose multiplication or division and solve accurately within 100. They use an array or strip diagram that matches the situation and write a correct equation for each step.
Common Misconceptions
- Students may add when equal groups call for multiplication, or divide when they should multiply. They may also reverse division equations or ignore the second step.
How to Assess It
- Give this exit ticket: “Six bags hold 8 apples each. Twelve apples are eaten. How many remain?” Require a strip diagram and equation.
Lesson moves
Ways to Teach It
Give pairs 36 counters and cups, then have them model equal groups, draw the model, and write matching multiplication and division equations.
Ask students to explain how they know whether a word problem needs multiplication, division, or both operations.
Play Problem Sort Relay with cards showing situations, arrays, strip diagrams, and equations that students match in teams.
Plan snack bags for 24 students, using equal groups and a fixed number of snacks per bag to find the total needed.
Keep exploring
Related Standards
- 3.4.K
solve one-step and two-step problems involving multiplication and division within 100 using strategies based on objects; pictorial models, including arrays, are...
- 4.4.H
solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders
- 3.5.A
represent one- and two-step problems involving addition and subtraction of whole numbers to 1,000 using pictorial models, number lines, and equations
- 4.5.A
represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantit...
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