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APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School ITSS:

APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

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Page 1: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

APPRENTICESHIP AND WORKPLACE MATHEMATICS

10“A few activities”

APPRENTICESHIP AND WORKPLACE MATHEMATICS

10“A few activities”

Tuesday November 30th, 2010Rollie Comeau

Watson Lake Secondary School

Tuesday November 30th, 2010Rollie Comeau

Watson Lake Secondary School

ITSS:ITSS:

Page 2: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

ACTIVITY 1 My foot!

ACTIVITY 1 My foot!

Page 3: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Specific Outcomes

A2 - 2.1 to 2.3 (all in part)

Specific Outcomes

A2 - 2.1 to 2.3 (all in part)

Page 4: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

My Foot!

Page 5: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot! (Part 1)

Activity 1 - My foot! (Part 1)

Form groups of three participants

Form groups of three participants

Material needed:

Activity 1 - My Foot data sheet

Pen/pencil Ruler Calculator

Material needed:

Activity 1 - My Foot data sheet

Pen/pencil Ruler Calculator

Page 6: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Place the Activity 1 - My Foot! data sheet on the floor next to your strong foot (i.e. left foot if you are left-handed)

Place the Activity 1 - My Foot! data sheet on the floor next to your strong foot (i.e. left foot if you are left-handed)

Page 7: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Place the Activity 1 - My Foot! data sheet on the floor next to your strong foot (i.e. left foot if you are left-handed)

Place the Activity 1 - My Foot! data sheet on the floor next to your strong foot (i.e. left foot if you are left-handed)

Remove your shoe and place foot on the page

Remove your shoe and place foot on the page

Page 8: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Remove your shoe and place foot on the page

Remove your shoe and place foot on the page

Trace the contour of your foot

Trace the contour of your foot

Page 9: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Trace the contour of your foot

Trace the contour of your foot

Put the shoe back on your foot and place the data sheet on your table

Put the shoe back on your foot and place the data sheet on your table

Page 10: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Put the shoe back on your foot and place the data sheet on your table

Put the shoe back on your foot and place the data sheet on your table

Place your strong thumb on the sheet of paper (thumbnail upward). DO NOT press firmly. Draw its outline.

Place your strong thumb on the sheet of paper (thumbnail upward). DO NOT press firmly. Draw its outline.

Page 11: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Place your strong thumb on the sheet of paper (thumbnail upward). DO NOT press firmly. Draw its outline.

Place your strong thumb on the sheet of paper (thumbnail upward). DO NOT press firmly. Draw its outline.

Write your name on top of the page

Write your name on top of the page

Page 12: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Write your name on top of the page

Write your name on top of the page

Determine the longest part of your foot on the sheet. Draw a line segment to show this.

Determine the longest part of your foot on the sheet. Draw a line segment to show this.

Page 13: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Determine the longest part of your foot on the sheet. Draw a line segment to show this.

Determine the longest part of your foot on the sheet. Draw a line segment to show this.

Determine the length of your foot in millimetres. Write this measurement above the line segment.

Determine the length of your foot in millimetres. Write this measurement above the line segment.

Page 14: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Determine the length of your foot in millimetres. Write this measurement above the line segment.

Determine the length of your foot in millimetres. Write this measurement above the line segment.

Determine the width of your thumb in millimetres.

Determine the width of your thumb in millimetres.

Page 15: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Determine the width of your thumb in millimetres.

Determine the width of your thumb in millimetres.

Write this measurement inside your thumb’s outline.

Write this measurement inside your thumb’s outline.

Page 16: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Write this measurement inside your thumb’s outline.

Write this measurement inside your thumb’s outline.

Exchange data sheet with your partners. Verify their measurements.

Exchange data sheet with your partners. Verify their measurements.

Page 17: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Exchange data sheet with your partners. Verify their measurements.

Exchange data sheet with your partners. Verify their measurements.

Place a checkmark next to their measurement(s), if you approve.

Place a checkmark next to their measurement(s), if you approve.

Page 18: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Place a checkmark next to their measurement(s) if you approve.

Place a checkmark next to their measurement(s) if you approve.

Place your correction(s) if you do not approve the original measurement(s). Place your initials next to the correction(s).

Place your correction(s) if you do not approve the original measurement(s). Place your initials next to the correction(s).

Page 19: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Place your correction(s) if you do not approve the original measurement(s). Place your initials next to the correction(s).

Place your correction(s) if you do not approve the original measurement(s). Place your initials next to the correction(s).

As a group, discuss possible corrections.

As a group, discuss possible corrections.

Page 20: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

As a group, discuss possible corrections.

As a group, discuss possible corrections.

Divide the “foot length” by the “thumb width”. Record this quotient as a ratio to the nearest unit (i.e. 11:1 or 12:1) on your data sheet.

Divide the “foot length” by the “thumb width”. Record this quotient as a ratio to the nearest unit (i.e. 11:1 or 12:1) on your data sheet.

Page 21: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Divide the “foot length” by the “thumb width”. Record this quotient as a ratio to the nearest unit (i.e. 11:1 or 12:1) on your data sheet.

Divide the “foot length” by the “thumb width”. Record this quotient as a ratio to the nearest unit (i.e. 11:1 or 12:1) on your data sheet.

Send a member of your team to record the findings on the main classroom chalkboard.

Send a member of your team to record the findings on the main classroom chalkboard.

Page 22: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Send a member of your team to record the findings on the main classroom chalkboard.

Send a member of your team to record the findings on the main classroom chalkboard.

Determine the mean ratio for the class.

Determine the mean ratio for the class.

Page 23: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Determine the mean ratio for the class.

Determine the mean ratio for the class.

Compare this ratio to the imperial “one foot ruler”.

What do you notice?

Compare this ratio to the imperial “one foot ruler”.

What do you notice?

Page 24: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

FACT!FACT!

The English word inch comes from Latin uncia

meaning "one twelfth part”

http://en.wikipedia.org/wiki/Inch

The English word inch comes from Latin uncia

meaning "one twelfth part”

http://en.wikipedia.org/wiki/Inch

Page 25: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot! (Part 2)

Activity 1 - My foot! (Part 2)

In the second part of this activity, you will start by measuring your arm span…

In the second part of this activity, you will start by measuring your arm span…

Page 26: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

In the second part of this activity, you will start by measuring your arm span…

In the second part of this activity, you will start by measuring your arm span…

Partner 1 holds the zero end of the measuring tape at the end of the middle finger of your left hand.

Partner 1 holds the zero end of the measuring tape at the end of the middle finger of your left hand.

Page 27: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Partner 1 holds the zero end of the measuring tape at the end of middle finger of your left hand.

Partner 1 holds the zero end of the measuring tape at the end of middle finger of your left hand.

Partner 2 extends the measuring tape to the middle finger of the right hand, behind your back, and determines the length of the arm span in millimetres.

Partner 2 extends the measuring tape to the middle finger of the right hand, behind your back, and determines the length of the arm span in millimetres.

Page 28: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Partner 2 extends the measuring tape to the middle finger of the right hand, behind your back, and determines the length of the arm span in millimetres.

Partner 2 extends the measuring tape to the middle finger of the right hand, behind your back, and determines the length of the arm span in millimetres.

Record the measurement. Repeat this procedure for every member of the group.

Record the measurement. Repeat this procedure for every member of the group.

Page 29: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Record the measurement. Repeat this procedure for every member of the group.

Record the measurement. Repeat this procedure for every member of the group.

Divide the arm span by 2. Record this new value as “Half of my arm span is ____ millimetres.”

Divide the arm span by 2. Record this new value as “Half of my arm span is ____ millimetres.”

Page 30: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Divide the arm span by 2. Record this new value as “Half of my arm span is ____ millimetres.”

Divide the arm span by 2. Record this new value as “Half of my arm span is ____ millimetres.”

Divide this new value by your “thumb” width. Record this quotient as: “My yard is ____ times my thumb’s width”

Divide this new value by your “thumb” width. Record this quotient as: “My yard is ____ times my thumb’s width”

Page 31: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Divide this new value by your “thumb” width. Record this quotient as: “My yard is ____ times my thumb’s width”

Divide this new value by your “thumb” width. Record this quotient as: “My yard is ____ times my thumb’s width”

Send a member of your team to record the findings on the main classroom chalkboard.

Send a member of your team to record the findings on the main classroom chalkboard.

Page 32: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Send a member of your team to record the findings on the main classroom chalkboard.

Send a member of your team to record the findings on the main classroom chalkboard.

Determine the mean ratio for “my yard: my thumb width” for the class (i.e. 35:1 or 36:1)

Determine the mean ratio for “my yard: my thumb width” for the class (i.e. 35:1 or 36:1)

Page 33: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Determine the mean ratio for “my yard: my thumb width” for the class (i.e. 35:1 or 36:1)

Determine the mean ratio for “my yard: my thumb width” for the class (i.e. 35:1 or 36:1)

What do you notice?

What do you notice?

Page 34: APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 “A few activities” Tuesday November 30th, 2010 Rollie Comeau Watson Lake Secondary School Tuesday November

Activity 1 - My foot!Activity 1 - My foot!

Imperial System Fact!

1 foot is 12 inches

Imperial System Fact!

1 foot is 12 inches

Imperial System Fact!

1 yard is 3 feet

Imperial System Fact!

1 yard is 3 feet