Measurement · JHS2 Mathematics

Lesson notes

Learning Objectives

Indicator: B8.3.2.2.2 - Demonstrate understanding of vector equality.

By the end of the lesson, learners can:

State the condition for two vectors to be equal (same magnitude and same direction).
Determine whether two given vectors are equal by comparing their components.
Use the equality of vectors to find unknown values in vector components, such as x and y.
Explain, with examples, why two vectors with the same magnitude but different directions are not equal.
Apply the concept of equal vectors to solve simple problems involving displacements or translations.

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Curriculum details

Strand: Geometry and Measurement (Strand 3)
Sub-strand: Measurement (3.2)
Content standard: B8.3.2.2 - Demonstrate understanding of addition and subtraction of vectors and their applications in solving basic problems
Indicator: B8.3.2.2.2 - Demonstrate understanding of vector equality.
Suggested placement: Term 3, Week 6 (Week 30 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
Curriculum reference: Mathematics, Common Core Programme (JHS1-JHS3), 2023, p. 150
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

Wide black-and-white mathematical teaching visual is organised as a table with horizontal divisions, vertical... — A wide black-and-white mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions. Visible labels, values, and notation include: E.g.1 Investigate the properties of equal vectors.; i.; If a=(3),b=(½) and c=(-3), Caculate Ipl, if p=a+ ½(b-c); il.; If M = N, find the value of x and y given that M=(X-Z) and N=(zx-1).

E.g.1 Investigate the properties of equal vectors.
i. If a=( 35 ) ,b=( 72 ) and c=( -3 ), Caculate |p|, if p=a+ ½(b-c)
-4
ii. If M = N, find the value of x and y given that M=( x-2 ) and N=( 1 ) x-y 2x-1