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P. 138
08Beauty of Halves Unit
Material Ruler
Have students first draw a line connecting two ends of the boundary line. Using a ruler, they can 1. Have the students divide into teams to
solve the problems using the method shown
draw a parallel line that passes through the point in the middle of the rectangle. Connecting the sign in the previous activity.
post to the opposite end of the parallel line segment will create a boundary with a straight line. Have students first draw a line connecting
the two ends of the boundary line.
1 . Draw the boundaries so that the areas of the 2 lands do not change. Using a ruler, they can draw a parallel line
to the line from step 1. The line should go
Team through the point in the middle of the
Project rectangle created by the original boundary
line.
Let’s Play Connecting the sign post to the opposite
end of the parallel line segment will create
1. Divide into teams. What you need: a boundary with a straight line.
Ruler
2. Start at the sign post and draw a straight line After solving both problems, have the teams
to divide the area into 2 lands. The areas of both discuss how they solved each problem.
lands must remain the same.
3. Talk about how your team solved the problem.
a.
b.
8. The Beauty of Halves 77
DC A
When two lines are parallel, BA D
the distance between the Triangles ABC and ABD have If points A and D are
two lines is always the same. connected, the area of the
the same base and height, original lands do not change.
so they have the same area. 5A Unit 08 121
Material Ruler
Have students first draw a line connecting two ends of the boundary line. Using a ruler, they can 1. Have the students divide into teams to
solve the problems using the method shown
draw a parallel line that passes through the point in the middle of the rectangle. Connecting the sign in the previous activity.
post to the opposite end of the parallel line segment will create a boundary with a straight line. Have students first draw a line connecting
the two ends of the boundary line.
1 . Draw the boundaries so that the areas of the 2 lands do not change. Using a ruler, they can draw a parallel line
to the line from step 1. The line should go
Team through the point in the middle of the
Project rectangle created by the original boundary
line.
Let’s Play Connecting the sign post to the opposite
end of the parallel line segment will create
1. Divide into teams. What you need: a boundary with a straight line.
Ruler
2. Start at the sign post and draw a straight line After solving both problems, have the teams
to divide the area into 2 lands. The areas of both discuss how they solved each problem.
lands must remain the same.
3. Talk about how your team solved the problem.
a.
b.
8. The Beauty of Halves 77
DC A
When two lines are parallel, BA D
the distance between the Triangles ABC and ABD have If points A and D are
two lines is always the same. connected, the area of the
the same base and height, original lands do not change.
so they have the same area. 5A Unit 08 121
