JHS1 Mathematics · Term 1 Week 1: Number and Numeration Systems

Lesson notes

Learning Objectives

Indicator: B7.1.1.1.1

By the end of the lesson, learners can:

Model numbers greater than 1,000,000,000 using multi-base blocks, stating the value of each block type (cube, rod, flat, block).
Determine how many multi-base blocks of each size make one billion.
Represent given amounts using combinations of GH₵50, GH₵100 and GH₵200 notes, ensuring every denomination is used at least once.
Work out how many notes of a single denomination (GH₵50, GH₵100 or GH₵200) are needed to model large amounts such as GH₵185,000,000 and GH₵1,890,750,000.
Use multiples of 10, 50, 100 and 200 to express a given number in at least two different ways.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Number and Numeration Systems (1.1)
Content standard: B7.1.1.1 - Demonstrate understanding and the use of place value for expressing quantities recorded as base ten numerals as well as rounding these to given decimal places and significant figures.
Indicator: B7.1.1.1.1 - Model number quantities more than 1,000,000,000 using graph sheets, isometric papers and multi-base blocks
Suggested placement: Term 1, Week 1 (Week 1 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. 2
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g.,1. Model number quantities up to 1,000,000,000 (one billion) using graph sheets or multi-base ten materials. For instance, with multi-base blocks one cube = 100,000, one rod = ten of the cubes (1,000,000) and a flat =10,000,000, and a block =100,000,000 as shown below.

Figure from the jhs1 mathematics curriculum, printed page 2

i. Determine how many blocks will make a billion.
E.g.2. Use multiples of 10s, 50s, 100s and 200s to represent numbers in multiples of ways (make sure each figure is used)
i. 5,560 = 20×200 + 10×100 +11×50 + 1×10; or = 15×200 + 20×100 +10×50 + 6×10; etc.
E.g.3. Use tokens (or paper-made currency notes) such as GH₵20, GH₵50, GH₵100 and GH₵200 to work out how many of each denomination would be required to model given amount up to one billion.
i. Workout how many GH₵200 will make GH₵185, 000,000, GH₵1,890,750,000, etc.
ii. Determine combinations of GH₵50, GH₵100 or GH₵200 notes that make GH₵1,000,000 (make sure each denomination is used);