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Transcript
Lesson 70 1 of 9
Measuring angles
Learning the sum of the angles for triangles and rectangles
Learning division facts with remainders with dividends up to 50 and dividends with 5 as a factor
When two lines cross, an angle is formed.
Angles are measured in degrees using a protractor.
The two lines shown on the right are perpendicular.
Notice that this forms four 90° angles.
What do you think is the sum of the angles of a rectangle?
The sum of the angles of a triangle is always 180°.
© 2009 All Rights Reserved
Lesson 70 2 of 9
Measuring angles
Learning the sum of the angles for triangles and rectangles
Learning division facts with remainders with dividends up to 50 and dividends with 5 as a factor
When two lines cross, an angle is formed.
Angles are measured in degrees using a protractor.
The two lines shown on the right are perpendicular.
Notice that this forms four 90° angles.
What do you think is the sum of the angles of a rectangle?
Since the adjoining sides of a rectangle are perpendicular,
they form 4 right angles (square corners).
The sum of the angles of a rectangle is always 360°.
The sum of the angles of a triangle is always 180°.
© 2009 All Rights Reserved
Lesson 70 3 of 9
Measuring angles
Learning the sum of the angles for triangles and rectangles
Learning division facts with remainders with dividends up to 50 and dividends with 5 as a factor
Remember that a line continues in both directions
AB or
without end. The following notation is used.
BA
A line segment has two endpoints.
The following notation is used.
AB
BA
A
A ray is a line with only one endpoint.
The following notation is used.
AB or
BA
A
A
© 2009 All Rights Reserved
B
B
B
Lesson 70 4 of 9
Measuring angles
Learning the sum of the angles for triangles and rectangles
Learning division facts with remainders with dividends up to 50 and dividends with 5 as a factor
On the right, the two rays, AB and AC have the same endpoint
and therefore form an angle. It is called a vertex. AB and AC
are the sides of the angle. The small arrow indicates the angle
that is being measured. The following notations can be used
to refer to this angle.
A or
BAC or
CAB
Measure each of these angles with a protractor.
1
2
45°
3
© 2009 All Rights Reserved
B
A
C
Lesson 70 5 of 9
Measuring angles
Learning the sum of the angles for triangles and rectangles
Learning division facts with remainders with dividends up to 50 and dividends with 5 as a factor
On the right, the two rays, AB and AC have the same endpoint
and therefore form an angle. It is called a vertex. AB and AC
are the sides of the angle. The small arrow indicates the angle
that is being measured. The following notations can be used
to refer to this angle.
A or
BAC or
CAB
B
A
Measure each of these angles with a protractor.
1
2
45°
3
130°
© 2009 All Rights Reserved
20°
C
Lesson 70 6 of 9
Measuring angles
Learning the sum of the angles for triangles and rectangles
Learning division facts with remainders with dividends up to 50 and dividends with 5 as a factor
Measure each of these angles with a protractor.
4
5
6
Select the best estimate for each angle.
7
8
9
47°
38°
43°
94°
85°
88°
141°
11 0 °
125°
© 2009 All Rights Reserved
Lesson 70 7 of 9
Measuring angles
Learning the sum of the angles for triangles and rectangles
Learning division facts with remainders with dividends up to 50 and dividends with 5 as a factor
Measure each of these angles with a protractor.
4
5
180°
6
35°
160°
Select the best estimate for each angle.
7
8
9
47°
38°
43°
94°
85°
88°
141°
11 0 °
125°
© 2009 All Rights Reserved
Lesson 70 8 of 9
Measuring angles
Learning the sum of the angles for triangles and rectangles
Learning division facts with remainders with dividends up to 50 and dividends with 5 as a factor
10
4 r1
6 25
-24
1
11
7
12
26
3
13
28
4
14
26
5
© 2009 All Rights Reserved
15
36
8
46
Lesson 70 9 of 9
Measuring angles
Learning the sum of the angles for triangles and rectangles
Learning division facts with remainders with dividends up to 50 and dividends with 5 as a factor
10
4 r1
6 25
-24
1
11
3 r5
7 26
-21
5
12
9 r1
3 28
-27
1
13
6 r2
4 26
-24
2
14
7 r1
5 36
-35
1
© 2009 All Rights Reserved
15
5 r6
8 46
-40
6