Building expressions + Product notation

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 2

Good morning!

Schedule: 

• Learning goals
• Starter
• Building expressions
• Vocabulary

Learning goals 

At the end of this lessons I can:

• Build an algebraic expression from a word problem
• Use the correct product notation in algebraic expressions

Starter

Do this exercise ALONE. Show your workings in your notebook.

Translate into equations, and solve.

When a number is decreased by 3 and the result is doubled, the answer is equal to the original number. Find the number

What is the number?

Build the expression

When a number is decreased by 3 and the result is doubled, the answer is equal to the original number. Find the number

Number = x

Equation: 

( x - 3 ) ⋅ 2 = x

Solve equation

When a number is decreased by 3 and the result is doubled, the answer is equal to the original number. Find the number

Equation: 

( x - 3 ) ⋅ 2 = x

2 (x - 3) = x 

2x - 6 = x

x - 6 = 0 

x = 6

Vocabulary 

Increased = more than

Decreased = less than

Sum

Difference 

Double

Treble

Integer

Consecutive

The result is = equals

+

Vocabulary 

Increased = more than

Decreased = less than

Sum

Difference 

Double

Treble

Integer

Consecutive

The result is = equals

+

-

Vocabulary 

Increased = more than

Decreased = less than

Sum

Difference 

Double

Treble

Integer

Consecutive

The result is = equals

+

-

+

Vocabulary 

Increased = more than

Decreased = less than

Sum

Difference 

Double

Treble

Integer

Consecutive

The result is = equals

+

-

+

-

Vocabulary 

Increased = more than

Decreased = less than

Sum

Difference 

Double

Treble

Integer

Consecutive

The result is = equals

+

-

+

-

⋅ 2

Vocabulary 

Increased = more than

Decreased = less than

Sum

Difference 

Double

Treble

Integer

Consecutive

The result is = equals

+

-

+

-

⋅ 2

⋅ 3

Vocabulary 

Increased = more than

Decreased = less than

Sum

Difference 

Double

Treble

Integer

Consecutive

The result is = equals

+

-

+

-

⋅ 2

⋅ 3

Whole number

Vocabulary 

Increased = more than

Decreased = less than

Sum

Difference 

Double

Treble

Integer

Consecutive

The result is = equals

+

-

+

-

⋅ 2

⋅ 3

Whole number

Sequence: 1, 2, 3,

50, 51, 52

Vocabulary 

Increased = more than

Decreased = less than

Sum

Difference 

Double

Treble

Integer

Consecutive

The result is = equals

+

-

+

-

⋅ 2

⋅ 3

Whole number

Sequence: 1, 2, 3,

50, 51, 52

=

What to do

Open this LessonUp on your device. 

Work on the slides with the appropriate color: 

- Got the question right                               I really want a challenge!

- Got the question right                               I think a bit more practice will help me!

- Got the question incorrect/correct     I think more practice will help me! I                                                                                         would like some more help. 

Extra practice 

Example 1:

Translate and solve

When a number is increased by 5, the answer is 7

Vocab: 

a number : 

increased : 

the answer is : 

Extra practice 

Example 1:

Translate and solve

When a number is increased by 5, the answer is 7

Vocab: 

a number : x

increased : adding (+) 

the answer is :  = 

Extra practice 

Example 1:

Translate and solve

When a number is increased by 5, the answer is 7

Vocab: 

a number : x

increased : adding (+) 

the answer is :  = 

Equation

x + 5 = 7

    

Extra practice 

Example 1:

Translate and solve

When a number is increased by 5, the answer is 7

Vocab: 

a number : x

increased : adding (+) 

the answer is :  = 

Equation

x + 5 = 7

     -5    -5

x + 0 = 2

x = 2

Extra practice 

Example 2:

Translate and solve

When a number is decreased by 3, the result is -1

Vocab: 

a number : 

decreased : 

the result is :  

Equation

Extra practice 

Example 2:

Translate and solve

When a number is decreased by 3, the result is -1

Vocab: 

a number : x

decreased : subtracting (-) 

the result is :  =

Equation

x - 3 = -1

    +3   +3

x - 0 = 2

x = 2

Extra practice 

Example 3:

Translate and solve

The sum of two consecutive even integers is 78

Vocab: 

an integer: x

sum : adding (+)

Two consecutive even :  2, 4

is : = 

Equation

Extra practice 

Example 3:

Translate and solve

The sum of two consecutive even integers is 78

Vocab: 

an integer: x

sum : adding (+)

Two consecutive even :  2, 4

is : = 

Equation

x + (x + 2) = 78

2x + 2        = 78

      - 2            - 2

2x               = 76

x                 = 38

Extra practice

Click this link: Practice worksheet

If the link doesn't work:

Go to ManageBac - Files - Unit 3 - " Forming equations worksheet in between "

Challenge

Click this link: Challenging worksheet 

If the link doesn't work: 

Go to ManageBac  -  Files - Unit 3 - " Forming equations worksheet in depth "

Extra challenge

 I am a number: I am smaller than my half and larger than my double.

If you add me to my square, the answer is 0.

Who am I?

Extra practice + help 

Click this link: Practice worksheet

If the link doesn't work:

Go to ManageBac - Files - Unit 3 - " Forming equations worksheet supporting"