Algebraic Expressions

Curriculum details

Strand

Algebra (Strand 2)

Sub-strand

Algebraic Expressions (2.2)

Content standard

B9.2.2.1 - Demonstrate an understanding of (i) change of subject (ii) substituting values to evaluate expressions, and (iii) factorize expressions that have simple binomial as a factor.

Indicator

B9.2.2.1.4 - Use the knowledge of simplifying and factorising expressions to solve real world problems.

Suggested placement

Term 2, Week 7 (Week 19 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. 187

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

Exemplars (from the NaCCA curriculum)

E.g.1 You purchased 10 items from a shopping plaza, and now you need plastic bags to carry them home. If each bag can hold only 3 items, how many plastic bags will you need to accommodate the10 items?
Solution: We use simple algebraic formula x to calculate the number of bags. y
x = Number of items purchased = 10 y = Capacity of 1 bag = 3

Hence, 10 = 3.333 bags 3 = 4 bags
So, we need 4 shopping bags to carry 10 items.
E.g.2 You have to buy two dozen of eggs priced at GH₵10, three loaves breads (each bread is GH₵5), and five bottles of juice (each bottle is GH₵8). How much money you will need to take to the grocery store? The prices are a = Price of two dozen eggs = GH₵10 b = Price of one bread = GH₵5 c = Price of one bottle of juice = GH₵8 => Money needed = a + 3b + 5c => Money needed = GH₵10 + 3(GH₵5) + 5(GH₵8) = GH₵10 + GH₵15 + GH₵40 = GH₵65

E.g.3 The area of a rectangle is 72 cm 2 . The length is twice its width. What is the length and width of the rectangle? Let "x" be the width and "2x" be the length. Length × Width = Area x × (2x) = 2x 2 = Area 2x 2 = Area 2x 2 = 72 2x 2 72 =
2 2
x 2 = 36 x = 6 width = 6cm 2x = 2 x 6 = 12 So, the length is 12 cm