Multiplication
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Example of student work from this lesson

Lesson Plan

Title:  Multiplication Word Problems using Different Representations.

Name:  Nikki Bianca

Description:  To solve two by one digit multiplication word problems using concrete manipulatives, pictorial representations, and symbols.

Rationale:  It is important for students to explore different representations of numbers and become familiar with multiplication word problems because:

            1.         Mathematical word problems are examples of practical applications and  help to show   how mathematics and particularly multiplication is useful in everyday life, thus        bringing meaning to multiplication for the students. 

            2.         The New Jersey Department of Education’s Fifth Grade Core Curriculum Content        Standards for Mathematics (4.1-A) state that students will “Use real-life experiences, physical materials, and technology to construct meanings for numbers.” 

            3.         The New Jersey Department of Education’s Fourth Grade Core Curriculum Content     Standards for Mathematics (4.1-A) state that students will “Use concrete and             pictorial models to relate whole numbers…”

Objectives: 

§         Students will have a deeper understanding of the multiplication operation (why we regroup numbers).

§         Students will understand that multiplication is not simply repeated addition.

§         Students will be able to manipulate base-10 blocks in an useful educational way and relate them to actual numbers. 

§         Students will be able to draw pictorial representations of numbers and relate them to actual numbers.

Hook:  Ask students to give examples of word problems that require the use of multiplication (Activating prior knowledge).  Pass out Base-10 blocks and pose a question.  “If I wanted to get each of you a king size candy bar that cost 3 dollars, how much money would I need?”

Materials:  Base-10 blocks, overhead projector, base-10 transparencies, pencil and paper.

Activities and Procedures:

            1.         Ask students to think of examples of word problems that require the use of                                multiplication. 

            2.         Pose this question: “If I wanted to buy each student in this class a king size candy bar     that cost 3 dollars each, how much money would I need?”  Ask if there is any missing        information.  Students will need the number of students in the class to solve this                    problem.  Count the number of students in the class.

            3.         Write word problem on the board.  (I realize this problem is not difficult and most                      students in the class will be able to answer it with ease, but I want students to                                 understand how to break a multiplication problem apart).

            4.         Pass out Base-10 blocks and explain to students that they are going to use the                           manipulatives to break this multiplication problem apart so they can actually see the                    process of regrouping taking place.

            5.         Explain what a flat, long, and unit are (They should already be familiar with these                        terms).  Ask students to draw pictures representing the base-10 blocks.

            6.         Draw picture representations of base-10 blocks on the board.

            7.         Demonstrate, using the transparency base-10 blocks, how the 1 that we ‘carry’ is                                  actually a 10 in our word problem “How much money will I need to buy each student                in this    class a 3 dollar candy bar”

            8.         Pass out the Word Problem Worksheet #1 (attached)

            9.         Solve the word problems with students representing numbers with base-10 blocks and

                        pictures on board.

            10.      

            10.       Some students will understand this very well and need more  difficult word                                 problems.  Give these students Word Problem Worksheet #2 (attached)

            11.       Ask all students to represent the numbers in the word problems with their base-10                                 blocks and also to draw pictures on their worksheets.  

            12.       Ask students to flip over their worksheets and describe what they have learned about                multiplication word problems. 

            13.       Collect worksheets

            14.       Hand out word problem worksheet for homework.

Assessment:      The reflection I ask students to write on the back of their worksheet will help me assess                         whether they obtained a deeper understanding of the multiplication operation.  The                     answers that students give during class will help me to assess the way students view               multiplication. 

§         Students will be able to manipulate base-10 blocks in an useful educational way and relate them to actual numbers. 

§         Students will be able to draw pictorial representations of numbers and relate them to actual numbers.