Building expressions + Product notation

Good morning!
Schedule: 
  • Learning goals
  • Starter
  • Building expressions
  • Vocabulary
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Slide 1: Slide
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This lesson contains 28 slides, with interactive quiz and text slides.

Items in this lesson

Good morning!
Schedule: 
  • Learning goals
  • Starter
  • Building expressions
  • Vocabulary

Slide 1 - Slide

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

Slide 2 - Slide

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



Slide 3 - Slide

What is the number?

Slide 4 - Open question

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

Slide 5 - Slide

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

Slide 6 - Slide

Vocabulary 
Increased = more than
Decreased = less than
Sum
Difference 
Double
Treble
Integer
Consecutive
The result is = equals

+

Slide 7 - Slide

Vocabulary 
Increased = more than
Decreased = less than
Sum
Difference 
Double
Treble
Integer
Consecutive
The result is = equals

+
-

Slide 8 - Slide

Vocabulary 
Increased = more than
Decreased = less than
Sum
Difference 
Double
Treble
Integer
Consecutive
The result is = equals

+
-
+

Slide 9 - Slide

Vocabulary 
Increased = more than
Decreased = less than
Sum
Difference 
Double
Treble
Integer
Consecutive
The result is = equals

+
-
+
-

Slide 10 - Slide

Vocabulary 
Increased = more than
Decreased = less than
Sum
Difference 
Double
Treble
Integer
Consecutive
The result is = equals

+
-
+
-
⋅ 2

Slide 11 - Slide

Vocabulary 
Increased = more than
Decreased = less than
Sum
Difference 
Double
Treble
Integer
Consecutive
The result is = equals

+
-
+
-
⋅ 2
⋅ 3

Slide 12 - Slide

Vocabulary 
Increased = more than
Decreased = less than
Sum
Difference 
Double
Treble
Integer
Consecutive
The result is = equals

+
-
+
-
⋅ 2
⋅ 3
Whole number

Slide 13 - Slide

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

Slide 14 - Slide

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
=

Slide 15 - Slide

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. 

Slide 16 - Slide

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 : 

Slide 17 - Slide

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 : 

Slide 18 - Slide

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
    

Slide 19 - Slide

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

Slide 20 - Slide

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

Slide 21 - Slide

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

Slide 22 - Slide

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

Slide 23 - Slide

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

Slide 24 - Slide

Extra practice
Click this link: Practice worksheet

If the link doesn't work:
Go to ManageBac - Files - Unit 3 - " Forming equations worksheet in between "

Slide 25 - Slide

Challenge
Click this link: Challenging worksheet 

If the link doesn't work: 
Go to ManageBac  -  Files - Unit 3 - " Forming equations worksheet in depth "

Slide 26 - Slide

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?

Slide 27 - Slide

Extra practice + help 
Click this link: Practice worksheet

If the link doesn't work:
Go to ManageBac - Files - Unit 3 - " Forming equations worksheet supporting"

Slide 28 - Slide