ALEX Learning Activity

  

Scalar Multiplication Lesson

A Learning Activity is a strategy a teacher chooses to actively engage students in learning a concept or skill using a digital tool/resource.

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  This learning activity provided by:  
Author: YVETTE AKRIDGE
System:Andalusia City
School:Andalusia City Board Of Education
  General Activity Information  
Activity ID: 2554
Title:
Scalar Multiplication Lesson
Digital Tool/Resource:
Scalar Multiplication Lesson Google Doc
Web Address – URL:
Overview:

This learning activity will be used during a lesson on Scalar Multiplication. Students will explore how to multiply a scalar into matrices in order to produce new matrices. The teacher will use the Scalar Multiplication Lesson to cover the “I Do” and “We Do” portions of the lesson.

This activity was created as a result of the ALEX Resource Development Summit.
  Associated Standards and Objectives  
Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 9-12
Algebra II with Statistics
3. Multiply matrices by scalars to produce new matrices.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Given a matrix, use scalar multiplication to produce a new matrix and interpret the value of the new entries.
Teacher Vocabulary:
  • Scalars
Knowledge:
Students know:
  • The aspects of a matrix with regard to entries, rows, columns, dimensions, elements, and subscript notations.
Skills:
Students are able to:
  • Write percents as decimals.
  • Increase or decrease an amount by multiplying by a percent (i.e., increase of 10% would multiply by 1.1).
Understanding:
Students understand:
  • Multiplying a matrix by a scalar affects every element in the matrix equally.
  • Scalar multiplication is a tool that allows all elements of a matrix to be changed in a simple manner.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
ALGII.3.1: Define scalar.
ALGII.3.2: Multiply a matrix by a scalar.

Prior Knowledge Skills:
  • Basic multiplication facts.
  • Identify a matrix.
  • Multiply each element by a given scalar.
Learning Objectives:

Students will be able to multiply matrices by scalars to produce new matrices. 
  Strategies, Preparations and Variations  
Phase:
During/Explore/Explain
Activity:

I Do:

  • The teacher will demonstrate how to multiply a scalar into matrices by providing examples visually and explaining verbally in detail using the Scalar Multiplication Lesson Google Doc. 

  • Students will observe, take notes, using their math journals or paper, and ask questions.

  • The teacher will have the students turn and talk about any misconceptions they may have at this point in the lesson. 

We Do:

    • The teacher will say, "We will now collaborate and discuss various types of scalar multiplication using the 'We Do' section of the Scalar Multiplication Lesson."

    • The teacher will issue whiteboards, pens, and erasers to the class. 

    • The teacher will ask students to work the “We Do” problems on their whiteboards holding them up as they find each answer for the teacher to check. (This will be used as a formative assessment to see if students understand the lesson.)

    • Important: The teacher will need to verbally discuss any problems and have students explain their thinking to ensure solidification of understanding.

You Do:

  • The teacher will hand out the Scalar Multiplication Lesson Worksheet.

  • The teacher will monitor students as they complete the worksheet.

  • The teacher will remind the students the worksheet will be graded for accuracy.
Assessment Strategies:

  • The teacher will monitor students as they complete the “You Do”  to provide timely feedback to help eliminate any misconceptions.

  • Upon completion, the teacher will take up the completed worksheet and ensure at least 80% mastery of the skill.
Advanced Preparation:

  • The teacher will need copies of the worksheet Scalar Multiplication Lesson Worksheet in advance. 

  • The teacher will provide each student with a copy of the worksheet, a whiteboard, a dry erase pen, and an eraser for the “We Do” section.

  • The students will need math journals if used for notes or paper if math journals are not used.

  • The teacher will need Internet access and the required equipment to display the Scalar Multiplication Lesson.
Variation Tips (optional):

The Scalar Multiplication Lesson and Scalar Multiplication Lesson Worksheet could be assigned through Google Classroom.
Notes or Recommendations (optional):

ALCOS 2019

  1. Multiply matrices by scalars to produce new matrices.
  Keywords and Search Tags  
Keywords and Search Tags: matrices, multiplication, scalar, scalar multiplication