TEKS 4.4C: Represent Products
Multiplication of Two Digit Numbers Using Models
About this lesson
Learning Target: I can represent the product of 2 two-digit numbers using arrays, area models, and equations.
Focuses On:
- Using arrays to multiply 2 two-digit numbers.
- Using area models to multiply 2 two-digit numbers.
Builds On:
3.4D:
Determine the total number of objects when equally sized groups of objects are combined or arranged in arrays up to 10 by 10
3.4E:
Represent multiplication facts by using a variety of approaches such as repeated addition, equal-sized groups, arrays, area models, equal jumps on a number line, and skip counting
Next Level:
4.4D:
Use strategies or algorithms, including the standard algorithm, to multiply up to a four-digit number by a one-digit number and to multiply a two-digit number by a two-digit number. Strategies may include mental math, partial products, and the commutative, associative, and distributive properties
Read More:
This lesson is designed to support conceptual understanding of multiplying multi-digit numbers. It solidifies a strategy prior to moving into the standard algorithm.
The two instructional blocks in this lesson are arrays and area models.
In the first instructional block students use arrays to solve two-digit multiplication problems. Students practice creating arrays to represent and solve problems. Additionally, students will determine an equation based on a given array.
In the second instructional block, students use area models similarly to how they used arrays in the first block.
Supports and scaffolds such as pictorial representations of arrays and area models are built into the lesson to support conceptual understanding.
Grade 4MathTEKS 4.4CPerfect Squares
About this lesson
Learning Target: I can represent perfect squares using arrays, area models, and equations.
Focuses On:
- Using arrays and area models to multiply perfect squares
Builds On:
3.4D:
Determine the total number of objects when equally sized groups of objects are combined or arranged in arrays up to 10 by 10
3.4E:
Represent multiplication facts by using a variety of approaches such as repeated addition, equal-sized groups, arrays, area models, equal jumps on a number line, and skip counting
Next Level:
This lesson builds the foundation to understand squared numbers in upper grade levels.
Read More:
This lesson is designed to build on multiplication using arrays and extend understanding into perfect squares to support exponents in later grade levels. The gradual release design of the lesson allows for initial visual representation using unit squares and builds into area models.
The two instructional blocks in this lesson are arrays and area models.
In the first instructional block students use arrays to represent perfect squares. Students practice creating arrays to represent perfect squares. Additionally, students will determine an equation based on a given array.
In the second instructional block, students use area models similarly to how they used arrays in the first block.
Supports and scaffolds such as pictorial representations of arrays and area models are built into the lesson to support conceptual understanding.
Grade 4MathTEKS 4.4C