TEKS 4.4H: Solve Multiplication and Division Problems
One-Step Multiplication Problem Solving
About this lesson
Learning Target: I can solve one-step multiplication word problems.
Focuses On:
- Using the standard algorithm to multiply multi-digit numbers
- Solving real-world multiplication problems
Builds On:
3.4K:
Solve one-step and two-step problems involving multiplication and division within 100 using strategies based on objects; pictorial models, including arrays, area models, and equal groups; properties of operations; or recall of facts
Next Level:
5.3B:
Multiply with fluency a three-digit number by a two-digit number using the standard algorithm
Read More:
This lesson is designed to solidify understand of and use of the standard algorithm to solve multiplication problems.
The two instructional blocks in this lesson are 4 digit x 1 digit word problems and 2 digit x 2 digit word problems.
In the first instructional block, students are encouraged to look at the strategies of partial product, area model and the algorithm to solve word problems.
The second instructional block has less scaffolding as students choose a strategy that works for them to solve 2 digit x 2 digit word problems.
Intentional scaffolds are built in to support student misconceptions such as misaligning place values when multiplying or missing the step to carry over.
Grade 4MathTEKS 4.4HOne-Step Division Problem Solving
About this lesson
Learning Target: I can solve one step division word problems and interpret remainders.
Focuses On:
- Utilizing the standard algorithm to divide
- Solving real-world problems with a remainder
- Interpreting a remainder as a left-over amount and deciding what to do with it in context of the problem
Builds On:
3.4K:
Solve one-step and two-step problems involving multiplication and division within 100 using strategies based on objects; pictorial models, including arrays, area models, and equal groups; properties of operations; or recall of facts
Next Level:
5.3C:
Solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm
Read More:
This lesson is designed to solidify student understanding of the standard algorithm. It builds upon conceptual understanding of division strategies in 3rd grade and builds toward larger division problems in 5th grade.
The two instructional blocks in this lesson are division word problems and interpreting remainders.
The first instructional block has students applying the standard algorithm to gain fluency in using this strategy to solve word problems.
The second instructional block has students interpreting remainders as it relates to the problem. Students are challenged to think about what strategy to use based on the context of the problem.
Partially completed equations are built into the lesson to scaffold student understanding.
Grade 4MathTEKS 4.4HMulti-Step Multiplication & Division Problem Solving
About this lesson
Learning Target: I can solve two-step problems involving multiplication and division.
Focuses On:
- Understanding the break down of a multi-step problem
- Performing operations (multiplication and division) to solve a multi-step problem
Builds On:
3.4K:
Solve one-step and two-step problems involving multiplication and division within 100 using strategies based on objects; pictorial models, including arrays, area models, and equal groups; properties of operations; or recall of facts
Next Level:
5.3B:
Multiply with fluency a three-digit number by a two-digit number using the standard algorithm
5.3C:
Solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm
Read More:
This lesson is designed to support student understanding to solve two-step problems involving multiplication and division.
The two instructional blocks in this lesson are two-step multiplication and multiply and divide.
In the first instructional block, students practice breaking down a multi-step multiplication problem before solving it.
The second instructional block progresses as students are exposed to two-step problems requiring both multiplication and division to solve them.
The lesson provides intentional scaffolding to understand both steps within a problem and determine which step happens first.
Grade 4MathTEKS 4.4H