Interactive Multiplication of Binomials

Learning Resource Type

Learning Activity

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

This activity allows the student to reinforce a lesson for multiplying binomials. The students will be visualizing the multiplication of binomials by manipulating tiles on a digital diagram.

This activity was created as a result of the GAP Resource Summit.

Phase

After/Explain/Elaborate

Mathematics (2019) Grade(s): 09-12 - Algebra I with Probability

MA19.A1.7
Add, subtract, and multiply polynomials, showing that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication.

Vocabulary

Polynomials
Closure
Analogous system

Knowledge

Students know:

Corresponding rules of arithmetic of integers, specifically what it means for the integers to be closed under addition, subtraction, and multiplication, and not under division.
Procedures for performing addition, subtraction, and multiplication on polynomials.

Skills

Students are able to:

Communicate the connection between the rules for arithmetic on integers and the corresponding rules for arithmetic on polynomials.
Accurately perform combinations of operations on various polynomials.

Understanding

Students understand that:

There is an operational connection between the arithmetic on integers and the arithmetic on polynomials.

Learning Objectives

The students will use numerical and tile models to find the product of two binomials.

Activity Details

The students will have their own electronic device with internet access.

The teacher will work examples on the board.

The teacher will use the FOIL method with the following examples:

a. (x + 3) (x - 4)

First x(x) Outside -4(x) Inside 3(x) Last 3(-4)

x² - 4x + 3x - 12

x² - 1x - 12

b. (2x + 1) (4x + 3)

First 2x(4x) Outside 2x(3) Inside 4x(1) Last 1(3)

8x² + 6x + 4x + 3

8x² + 10x + 3

The teacher will assign the next two problems. The teacher can place the students in groups of two.

1. (x +7) ( 2x - 3) 2. (5x - 2) (3x - 4)

2x² + 11x - 21 15x² -26x + 8

The teacher will do an informal assessment at this time to see if the students understand the concept.

The teacher will show the website, Binomial Multiplication (https://geometricfunctions.org/curriculum/algebra/binomial-multiplication/binomial-multiplication.shtml), and discuss how to use the site. The teacher will hand out the worksheets. The student worksheet is located on the website under the algebra tiles box for both page 1 and 2. It reads: "Download the student worksheet". The students will use the website to complete the worksheet.

Assessment Strategies

While students are completing the examples, the teacher will walk around and check their work. The teacher will ask students to answer the questions on the board.

The summative assessment will be the worksheet.

Variation Tips

The website recommends that the students work in pairs. However, the teacher can group students in larger numbers or they can work individually as well. The teacher can have students make a problem and have another student solve it.

Background / Preparation

The teacher will need to copy the worksheet for the students.

The teacher will need to be familiar with the website. A video is provided that instructs the user on how to operate the site.

The teacher will need to make sure internet access is available for all students.

The teacher will need to have the website and interactive whiteboard ready for activity.

https://geometricfunctions.org/curriculum/algebra/binomial-multiplication/binom…

Approved Date

2018-07-05

Owner (Author)

morganboyd

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