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Words to Symbols. Thursday, January 30th. Words to symbols.

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words to symbols

Words to Symbols

Thursday, January 30th

words to symbols1
Words to symbols

Example: The tip of an iceberg is the part that you see sticking out of the water. Let’s call the height of that tip t. The height of the tip is just 1/7th of the height of the whole iceberg. Create an equation for the whole iceberg h.

words to symbols2
Words to symbols

Example: The tip of an iceberg is the part that you see sticking out of the water. Let’s call the height of that tip t. The height of the tip is just 1/7th of the height of the whole iceberg. Create an equation for the whole iceberg h.

1

7

t =

h

So h = …?

words to symbols3
Words to symbols

Example: The tip of an iceberg is the part that you see sticking out of the water. Let’s call the height of that tip t. The height of the tip is just 1/7th of the height of the whole iceberg. Create an equation for the whole iceberg h.

1

7

t =

h

So h = 7t

words to symbols4
Words to symbols

Which of the following equations represents this scenario:

The number of scorpions eaten by Ada has increased by 2.

  • 2n
  • 2 + n
  • 2 – n
  • n – 2
words to symbols5
Words to symbols

Which of the following equations represents this scenario:

The number of scorpions eaten by Ada has increased by 2.

  • 2n
  • 2 + n
  • 2 – n
  • n – 2
words to symbols6
Words to symbols

Which of the following equations represents this scenario:

Victoria lets in a third of the goals that most goalies would let in.

  • 3n
  • n – 3
  • n / 3
  • 3 - n
words to symbols7
Words to symbols

Which of the following equations represents this scenario:

Victoria lets in a third of the goals that most goalies would let in.

  • 3n
  • n – 3
  • n / 3
  • 3 - n
words to symbols8
Words to symbols

Which of the following equations represents this scenario:

Calvin decreases the number of opponents in his video game by 2.

  • 2n
  • 2 + n
  • 2 – n
  • n – 2
words to symbols9
Words to symbols

Which of the following equations represents this scenario:

Calvin decreases the number of opponents in his video game by 2.

  • 2n
  • 2 + n
  • 2 – n
  • n – 2
words to symbols10
Words to symbols

Which of the following equations represents this scenario:

Kate is running twice as fast as her previous speed.

  • 2n
  • 2 + n
  • 2 – n
  • n – 2
words to symbols11
Words to symbols

Which of the following equations represents this scenario:

Kate is running twice as fast as her previous speed.

  • 2n
  • 2 + n
  • 2 – n
  • n – 2
try it
Try it!

Academic class:

  • Page 8 #1 – 23 (odd numbered questions only),

#25 with a partner

  • Page 9 #1 – 5
  • Extra time: Page 2

Applied class: Geometry (page 5 – 7)

  • Page 8 #2 – 6
geometry
Geometry

The length of a rectangular field is 3 times longer than the width, w.

  • Write an algebraic expression for the length, l.
  • Write an algebraic expression for the perimeter of the field (length of a fence around the field)
  • Write an algebraic expression for the area of the field
slide16

z

2y

x

What might this represent?

slide17

z

2y

x

Example:

x + z = 2y

slide18

z

2y

x

x = …

slide19

z

2y

x

x = 2y – z

slide20

z

2y

x

y = …

slide21

z

2y

x + z

2

x

y =

slide22

3z =

z =

2y

3z

2x

y =

2y =

slide23

3z = 2x + 2y

z =

2y

3z

2x

y =

2y =

slide24

3z = 2x + 2y

z = (2x + 2y)

3

2y

3z

2x

y =

2y =

slide25

z = (2x + 2y)

3

3z = 2x + 2y

2y

3z

2x

y =

2y = 3z – 2x

slide26

z = (2x + 2y)

3

3z = 2x + 2y

2y

3z

2x

y = (3z – 2x)

2

2y = 3z – 2x

2y 3x 4z draw this
2y = 3x + 4z

Draw this!

3x z 2y draw this
3x – z = 2y

Draw this!

3x z 2y solve for 3x
3x – z = 2y

Solve for 3x!

3x z 2y solve for x
3x – z = 2y

Solve for x!

slide31

True or False?

z = x + 2y + g3

x + 2y = 3z - g

rearranging equations activity
Rearranging Equations Activity
  • In teams of two:
  • Cut out each of the equations and representative bars.
  • Glue 4 coloured bar graphs to a sheet of cardstock, leaving space underneath each.
  • Figure out which equations describe the bar graphs. Glue these underneath the correct graph.
  • Write one new equation using each each bar graph solving for a different variable.