Math 10C Module 3 Lesson 1

Module 3: Polynomials

 

Lesson 1: Multiplying Binomials

 

Focus
This shows a photo of light shining through stained glass on the side of a building.

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Algebra is a branch of mathematics that deals with statements of relations, often using letters and other symbols to represent values. These symbols are then combined and balanced according to the rules of arithmetic. In this lesson you will first recall what it means to multiply two-digit numbers in arithmetic. Then you will begin to work with the abstract operation of multiplying binomials using physical objects you can move with your hands or manipulate using your computer. The results you obtain when you multiply binomials may provide an inspiration for encoding and decoding secret messages.

m10c_know.jpg Did You Know?

 

The word algebra has its origins in an Arabic book written in the ninth century by a Persian mathematician named al-Khowarismi. The title of the book was al-jebr w’al-muqabalah, where al-jebr describes the “reunion of broken parts” and al-muqabalah refers to the process of “setting equal” or “balancing.”



Outcomes

At the end of this lesson, you will be able to

  • model the multiplication of two given binomials, concretely or pictorially, and record the process symbolically
  • relate the multiplication of two binomial expressions to an area model
  • explain, using examples, the relationship between the multiplication of binomials and the multiplication of two-digit numbers
Lesson Questions
  • How is multiplying binomials similar to multiplying two-digit numbers?
  • How is the process of multiplying binomials similar to encoding a message?
m10c_assess.jpg Lesson Completion and Assessment

As you work through each lesson, complete all the questions and learning activities in your binder using paper and pencil, clearly labeling your work (they refer to this as your course folder). These include the Are you Ready, Try This, Share and Self Check questions. Check your work if answers are provided. Remember that these questions provide you with the practice and feedback that you need to successfully complete this course.
Once you have completed all of the learning activities, take the Lesson Quiz. This is the assessment for each lesson and is located under the Assess tab or by using the Quizzes link under the Activities block.


** Note – Share questions may have to be done on your own depending on your learning situation**