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2 - Numeracy - Multiplying

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Summary – Examples Covered

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2.1  – Numeracy – Multiplying - Positive Numbers - Intro

 

Video Link 2.1

 

 

Downloads:

 

Smart Notebook Lesson 2.1

 

Task 2.1 – Word

 

Task 2.1 - Pdf

Learning Goal: 

 

By the end of this lesson I should be able to MULTIPLY single digit positive numbers together WITHOUT the use of a calculator (technology).

 

Techniques:    Area Model (intro),             Number Model

 

Examples:

 

(a)                8 x 3                           

(b)               4 x 6                                

(c)                9 x 7             

2.1

2.2  – Numeracy – Multiplying - Area Model

 

Video Link 2.2

 

 

Downloads:

 

Smart Notebook Lesson 2.2

 

Task 2.2 – Word

 

Task 2.2 - Pdf

Learning Goal: 

 

By the end of this lesson I should be able to MULTIPLY single and double digit positive numbers together using an AREA MODEL; WITHOUT the use of a calculator (technology).

 

Techniques:    Area Model

 

Examples:

 

(a)                8 x 3                           

(b)               4 x 13                                

(c)                14 x 21

(d)               64 x 25                           

 

2.2

2.3  – Numeracy – Multiplying - Area Model 2

 

Video Link 2.3

 

 

Downloads:

 

Smart Notebook Lesson 2.3

 

Task 2.3 – Word

 

Task 2.3 - Pdf

Learning Goal: 

 

By the end of this lesson I should be able to MULTIPLY double and triple digit positive numbers together using an AREA MODEL; WITHOUT the use of a calculator (technology).

 

Techniques:    Area Model

 

Examples:

 

(a)               4 x 13                          

(b)               38 x 25                                  

(c)                274 x 46        

 

2.3

2.4  – Numeracy – Multiplying - Distributive Property

 

Video Link 2.4

 

 

Downloads:

 

Smart Notebook Lesson 2.4

 

Task 2.4 – Word

 

Task 2.4 - Pdf

Learning Goal: 

 

By the end of this lesson I should be able to MULTIPLY single and double digit positive numbers together using the DISTRIBUTIVE PROPERTY of MULTIPLICATION; WITHOUT the use of a calculator (technology).

 

Techniques:    Area Model and Distributive Property

 

Examples:

 

(a)                4 x 13                           

(b)               8 x 21            

(c)                6 x 75

2.4

2.5  – Numeracy – Multiplying - Distributive Property 2

 

Video Link 2.5

 

 

Downloads:

 

Smart Notebook Lesson 2.5

 

Task 2.5 – Word

 

Task 2.5 - Pdf

Learning Goal: 

 

By the end of this lesson I should be able to MULTIPLY double and triple digit positive numbers together using the DISTRIBUTIVE PROPERTY of MULTIPLICATION; WITHOUT the use of a calculator (technology).

 

Techniques:   Area Model and Distributive Property

 

Examples:

 

(a)                18 x 25                        

(b)               28 x 85                                   

(c)                24 x 15

 

2.5

2.6  – Numeracy – Multiplying - Column Model

 

Video Link 2.6

 

 

Downloads:

 

Smart Notebook Lesson 2.6

 

Task 2.6 – Word

 

Task 2.6 - Pdf

Learning Goal: 

 

By the end of this lesson I should be able to MULTIPLY double and triple digit positive numbers together using a COLUMN MODEL; WITHOUT the use of a calculator (technology).

 

Techniques:   Area Model and Column Model

 

Examples:

 

(a)                13 x 4                        

(b)               25 x 18                                   

(c)                85 x 28

2.6

2.7  – Numeracy – Multiplying - Column Model 2

 

Video Link 2.7

 

 

Downloads:

 

Smart Notebook Lesson 2.7

 

Task 2.7 – Word

 

Task 2.7 - Pdf

Learning Goal: 

 

By the end of this lesson I should be able to MULTIPLY double and triple digit positive numbers together using a COLUMN MODEL; WITHOUT the use of a calculator (technology).

 

Techniques:   Area Model and Column Model

 

Examples:

 

(a)                12 x 45                        

(b)               125 x 24                                   

(c)                435 x 124

 

 

2.7

2.8  – Numeracy – Multiplying - One Decimal Place

 

Video Link 2.8

 

 

Downloads:

 

Smart Notebook Lesson 2.8

 

Task 2.8 – Word

 

Task 2.8 - Pdf

Learning Goal:


By the end of this lesson I should be able to MULTIPLY together a positive number and a number with ONE or TWO decimal places, WITHOUT the use of a calculator (technology).

 

  • Multiplying by a decimal that is less than one, product should get smaller. (6)(0.2) = 1.2

 

Techniques:   Area Model and Column Model

 

Examples:

 

(a)                (7)(0.1)                        

(b)               (4)(0.6)                                 

(c)                (5)(0.9)  

(d)                (3)(0.75)

2.8

2.9  – Numeracy – Multiplying - Two Decimal Places

 

Video Link 2.9

 

 

Downloads:

 

Smart Notebook Lesson 2.9

 

Task 2.9 – Word

 

Task 2.9 - Pdf

Learning Goal:

 

By the end of this lesson I should be able to MULTIPLY together two decimal numbers (tenths), WITHOUT the use of a calculator (technology).

• Multiplying by a decimal that is less than one, product should get smaller. (6)(0.2) = 1.2

 

• Multiplying by a decimal that is larger than one, product should get larger. (6)(1.2) = 7.2

 

Techniques:   Area Model and Column Model

 

Examples:

 

(a)                (3)(4.1)                        

(b)               (4.5)(1.5)                                 

(c)                (6.2)(1.5)

2.9

2.10  – Numeracy – Multiplying - Two Decimal Places 2

 

Video Link 2.10

 

 

Downloads:

 

Smart Notebook Lesson 2.10

 

Task 2.10 – Word

 

Task 2.10 - Pdf

 Learning Goal:

 

By the end of this lesson I should be able to MULTIPLY together two decimal numbers (hundredths), WITHOUT the use of a calculator (technology).

 

Techniques:   Column Model

 

Examples:

 

(a)                (6.5)(1.5)                        

(b)               (3.52)(2.4)                                 

(c)                (6.78)(3.45)

 

2.10

 

2.11  – Numeracy – Multiplying - Positive number times a negative number

 

Video Link 2.11

 

 

Downloads:

 

Smart Notebook Lesson 2.11

 

Task 2.11 – Word

 

Task 2.11 - Pdf

 Learning Goal:

 

By the end of this lesson I should be able to Multiply a positive number and a negative number together, WITHOUT the use of a calculator (technology).

  • When we multiply a positive number and a negative number together, the final product (result) ends up being a negative value.
  • (+) x (-) = (-)

 

Techniques:   Number Model and Area Model

 

Examples:

 

(a)                (3)(-4)                        

(b)               (9)(-8)                                 

(c)                (48)(-125)

2.11

 

2.12  – Numeracy – Multiplying - Negative number times a negative number

 

Video Link 2.12

 

 

Downloads:

 

Smart Notebook Lesson 2.12

 

Task 2.12 – Word

 

Task 2.12 - Pdf

 Learning Goal:

 

By the end of this lesson I should be able to Multiply a negative number and a negative number together, WITHOUT the use of a calculator (technology).

  • When we multiply a positive number and a negative number together, the final product (result) ends up being a negative value.
  • (+) x (-) = (-)
  • When we multiply a negative number and a negative number together, the final product (result) ends up being a negative value.
  • (-) x (-) = (+)
  • An ''odd'' number of negative signs in a multiplication or division problem leads to a negative answer.
  • An ''even'' number of negative signs in a multiplication or division problem lead to a positive answer.

 

Techniques:   Number Model and Area Model

 

Examples:

 

(a)                (-9)(-8)                        

(b)               (4)(-9)(-3)                                 

2.12

 

2.13  – Numeracy – Multiplying - Area Model revisited

 

Video Link 2.13

 

 

Downloads:

 

Smart Notebook Lesson 2.13

 

Task 2.13 – Word

 

Task 2.13 - Pdf

 Learning Goal:

 

By the end of this lesson I should be able to Multiply positive and negative numbers together using an Area Model, WITHOUT the use of a calculator (technology).

 

Techniques:  Area Model

 

Examples:

 

(a)                (-9)(-8)                        

(b)               (98)(18)                                 

(c)                (66)(-25)                           

 

2.13

 

2.14  – 2.15 - Numeracy – Multiplying - Review and Final Assessment

 

 

Downloads:

   

Task 2.14 – Review - Word

 

Task 2.14 - Review - Pdf

 

Final Assessment 2.15 - Word

 

Final Assessment 2.15 - Pdf

  Summative Activities for the Multiplying Unit