Building expressions + Product notation
Good morning!
Schedule:
- Learning goals
- Starter
- Building expressions
- Vocabulary
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Slide 1: Slide
WiskundeMiddelbare schoolvwoLeerjaar 2
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"
