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Mathematics Grade 3
Strand: OPERATIONS AND ALGEBRAIC THINKING (3.OA) Standard 3.OA.3
The students will be able to take factors apart to make multiplication problems simpler.
Succession in teaching multiplication: Students learn best when starting with the concrete, moving to the pictorial, then continuing to the abstract. When teaching multiplication, give students opportunities to experience the following ways to learn ( stated from pictorial to abstract):
Repeated addition number sentence
Picture diagram ‐ row by column (array)
Rectangular region diagram array
Corner Piece or L piece ‐ array
Partitioning strategies = Partial products (number bonds)/Compensation (changing the numbers to get an estimate)
A beneficial way to teach math concepts is to let the Core Curriculum drive the instruction. Below are essential questions written from the core for multiplication, including vocabulary. Let the questions drive the instruction by placing lessons from the district adopted textbook where appropriate to find holes that need to be taught.
Multiplication Enduring Understanding: Students will model problems using multiplication and division.
Multiplying with 0 ,One of the most common mistakes involving zero is the failure by many students to realize that multiplying any number by zero yields zero. This is especially true when using the associative property of multiplication. Rees and Barr (1984) found that 52% of 8,613 people in a public examination wrote that 9 x 0 x 8 = 72.
Students should already have an understanding of things that come in groups before doing this lesson.
Before the lesson, copy What's My Array and L pieces on cardstock; laminate and cut out the L pieces. Have a dry erase marker and dice available.
2. Become effective problem solvers by selecting appropriate methods, employing a variety
of strategies, and exploring alternative approaches to solve problems.
4. Communicate mathematical ideas and arguments and coherently to peers, teachers, and others using the precise language and notation of mathematics.
Invitation to Learn:
What My Array?
Ask "What is the difference between 2x3 and 3x2?"
Tell students they will be creating arrays to prove multiplication problems. They will also learn what each number represents when multiplying and what it means to multiply.
Lesson and Activity Time Schedule:
Activity Connected to Lesson:
Simplify Multiplication: Number Bonds
If students can pull the numbers apart and then put them back together again, it would be easier than giving up and saying, "I can't do it." Students can also prove it by showing the arrays of the two problems and adding them together.
Here is an example of pulling the numbers apart to do a multiplication problem.
There is more than one way to complete the problem. If students have memorized the "doubles," it is another way to take the problem apart. At first it is necessary for students to prove their answers by showing arrays.
Retrieved from the World Wide Web on January 16, 2010, Research shows rote memory to be one of the least effective way of teaching the times tables. This site includes tips and tricks teachers and parents have shared to teach the times tables in the traditional method. http://www.multiplication.com/teach.htm.
Retrieved from the World Wide Web on January 16, 2010. Multiplication ‐ 2, 4, 6, 8 if you're looking to learn the basics of multiplication, this BrainPOP movie is really great! In the movie, Tim and Moby are at the zoo and need to use simple multiplication skills in order to feed the animals. You'll discover the difference between a factor and a product, what a multiple is, and why learning your multiplication table is so important. You'll also find out how multiplication is really just a shortcut for adding up lots of numbers, and how, when it comes to multiplication, practice makes perfect at this website: BrainPop Multiplication
Retrieved from the World Wide Web on January 16, 2010, My Learning Process. Multiplication is a very controversial topic as many feel strongly about how it should be taught. This blog explores recent research which shows successful methods available: Understanding Multiplication.