Counting, Representation… · B2 Mathematics

Lesson notes

Learning Objectives

Indicator: B2.1.1.1.4 - Demonstrate a conceptual understanding of place value of whole numbers between 0 and 100

By the end of the lesson, learners can:

Explain that a 2-digit number is made up of tens and ones, and identify the value of each digit based on its position.
Represent 2-digit numbers using bundles of 10s and loose 1s (and a tens frame), including numbers where both digits are the same, such as 33 or 44.
Partition or decompose 2-digit numbers into tens and ones in at least two different ways (e.g., 47 = 40 + 7, and 47 = 20 + 20 + 7).
Read a 2-digit number by stating the value of each digit (e.g., reading 43 as “forty-three” and explaining that the 4 means 4 tens or 40, and the 3 means 3 ones or 3).
Justify why the value of a digit changes when its position in the numeral changes (e.g., in 15 the 1 means 10, but in 51 the 1 means 1).

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Counting, Representation, Cardinality & Ordinality (1.1)
Content standard: B2.1.1.1 - Count and estimate quantities from 0 to 1000
Indicator: B2.1.1.1.4 - Demonstrate a conceptual understanding of place value of whole numbers between 0 and 100
Suggested placement: Term 1, Week 4 (Week 4 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 Curriculum for Primary Schools (Basic 1-3), 2019, p. 22
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1. Develop a conceptual understanding of place value of whole numbers between 0 and 1000 by:
- explain and show- with bundles of 10s and 1s and a tens frame - the meaning of each digit in a 2-digit number (when the two digits are different, as well as when the two digits are the same) and representing the number in a tens frame

Tens Frame (Hundred / Tens / Ones) table. The wide black-and-white table is arranged with horizontal divisions,... — The Tens Frame (Hundred / Tens / Ones) table. The wide black-and-white table is arranged with horizontal divisions, vertical divisions, open white space around the main marks.

(Use other possible representations of place value which include manipulatives such as threaded 100s, 10s, and loose bottle caps; and multi-base ten material (units, flats and squares) with numeral cards
- decompose or partition numbers to 1000 into hundreds, tens and ones (e.g.: 153 = 100 + 50 + 3, or 153 = 100 + 53)
- explain why the value of a digit depends upon its placement within a numeral.
- read a number by indicating the value of each digit (i.e., reading 43 as forty-three and not four three.
E.g. 2. Partition or decompose numbers to 100 and then to 1000 into equivalent expressions (e.g.: 47 = 20 + 20 + 7, or 30 + 10 + 7, etc.)