Number Operations · JHS1 Mathematics

Lesson notes

Learning Objectives

Indicator: B7.1.2.2.2 - Multiply or divide multi-digit numbers by 1- and 2- digit numbers

By the end of the lesson, learners can:

Multiply multi-digit whole numbers by 1-digit numbers using partitioning and the vertical place value method.
Multiply multi-digit whole numbers by 2-digit numbers using the vertical place value method and the distributive property.
Use divisibility tests for 2, 3, 4, 5, 6, 9 and 10 to determine whether a given number is divisible by another.
Divide multi-digit numbers by 1- and 2-digit numbers using long division, checking answers by multiplication.
Apply multiplication and division of multi-digit numbers to solve real-life problems involving quantities and money.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Number Operations (1.2)
Content standard: B7.1.2.2 - Demonstrate an understanding of addition, subtraction, multiplication and division of (i) whole numbers, and (ii) decimal numbers, to solve problems.
Indicator: B7.1.2.2.2 - Multiply or divide multi-digit numbers by 1- and 2- digit numbers
Suggested placement: Term 1, Week 5 (Week 5 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.
Source document note: The official curriculum document has a fault in this entry, so the curriculum text above is transcribed exactly as printed:

indicator text - p.10: the code is printed 'B71.2.2.2', with the stop after the grade token missing
Curriculum reference: Mathematics, Common Core Programme (JHS1-JHS3), 2023, p. 10
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g.1 Use partitioning/expanded form to multiply and divide efficiently
i) Multiply 584 by 8 584 = (500+ 80+4) × 8 = x8 4,000+640+32
4,672 = 4,672
E.g.2. Multiply whole numbers using the vertical place value method or lattice method:
i. Place value method: 345 x 27 = 345 x27 2,415
+ 6,900 9,315

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: 9; 2; 3; 6; 1; 4; 8; 5.

Lattice method: Draw a 2 by 3 lattice for solving 345 × 27.
E.g.3 Use the distributive property to multiply 325 by 15. =325 x (10 + 5) = (325 x 10) + (325 x 5) =3,250 + 1,625 =4,875
E.g.4 Investigate and determine basic division facts including divisibility test.
(i) determine how a given number is divisible by 2,3, 4, 5, 6, 7 8, 9,10, etc. For example, a number is divisible by 3 if the sum of its digits is divisible by 3. So, 72 is divisible by 3 because 7+2 = 9. Hence since 9 is divisible by 3, then 72 is divisible by 3. Also, to find out if a number is divisible by 7, take the last digit in the number then double it and subtract from the rest of the number. If the answer is 0 or a multiple of 7, then the number is divisible by 7. So, 595 is divisible by 7 because 5 x 2 =10. 59 - 10 = 49. Therefore, 595 is divisible by 7.