LessonnotesGH

JHS1 Mathematics · Term 2, Week 8

Variables and Equations

Lesson notes

Learning Objectives

Indicator: B7.2.3.1.4 - Solve linear equations in one variable

By the end of the lesson, learners can:

  1. Solve linear equations of the form ax + b = c, where a, b and c are integers, using the balance method.
  2. Solve linear equations with variables on both sides, such as 4x + 1 = 3x + 7, by collecting like terms.
  3. Solve linear equations involving subtraction on both sides, such as 5r - 3 = r - 1, with accuracy.
  4. Verify solutions by substituting the value back into the original equation.
  5. Communicate the steps of solving an equation clearly, using the correct mathematical language such as “balance”, “inverse operation” and “like terms”.

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Curriculum details

Strand
Algebra (Strand 2)
Sub-strand
Variables and Equations (2.3)
Content standard
B7.2.3.1 - Demonstrate an understanding of linear equations of the form x + a = b (where a and b are integers) by modelling problems as a linear equation and solving the problems concretely, pictorially, and symbolically.
Indicator
B7.2.3.1.4 - Solve linear equations in one variable
Suggested placement
Term 2, Week 8 (Week 20 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. 46

Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

Nearly square colour mathematical teaching visual is organised as a table with horizontal divisions, vertical...
A nearly square colour mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions, coloured regions. Visible labels, values, and notation include: ШEEE; The tiles model the; equation. A green tile; represents X.; Add 2 to each side.; Simplify by removing; zero pairs.; Divide each side into; three equal groups.; Each green tile equals two; yellow tiles, so x = 2. 
E.g. 1 Using the idea of balance Solve the following simple linear solve simple linear equations. equations
Wide black-and-white mathematical teaching visual is organised as a worked calculation with vertical divisions, open...
A wide black-and-white mathematical teaching visual is organised as a worked calculation with vertical divisions, open white space around the main marks. Visible labels, values, and notation include: 3x + 5 = 20; 3x + 5-5 = 20- 5; 3x=15; x =5; i.; ii.; iii.; iv.; V.; 4x + 1 = 3x+7; 7w +3= 2w+18; 5r-3=r- 1; 20 - 3k = k + 12; 6z + 4 = 28. 
3x + 5 = 20 i. 4x + 1 = 3x + 7 3x + 5 - 5 = 20 - 5 ii. 7w + 3 = 2w + 18 3x =15 iii. 5r - 3 = r - 1 x = 5 iv. 20 - 3k = k + 12
v. 6z + 4 = 28
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