Educational music worksheet on time signatures and common time for learning rhythm and notation.

Problem Analysis:

The task involves understanding and applying common time signatures (4/4) in music notation. The goal is to:
1. Draw notes to make each measure add up to 4 beats.
2. Draw bar lines to ensure each measure equals 4 beats in common time.

#### Key Concepts:
- Time Signature (4/4):
- Top number (4): Indicates there are 4 beats per measure.
- Bottom number (4): Indicates the type of note that gets one beat (quarter note).
- Note Values:
- Whole note: 4 beats
- Half note: 2 beats
- Quarter note: 1 beat
- Eighth note: 0.5 beats
- Sixteenth note: 0.25 beats

Step-by-Step Solution:

#### Part 1: Draw Notes to Make Each Measure Add Up to 4 Beats
We need to fill in the measures with notes such that the total value of the notes in each measure equals 4 beats.

1. First Measure:
- We have a half note (2 beats) already present.
- To complete 4 beats, we need an additional 2 beats.
- A half note (2 beats) will complete the measure.
- Final measure: `Half Note + Half Note`

2. Second Measure:
- We have a whole note (4 beats) already present.
- No additional notes are needed since the whole note already equals 4 beats.
- Final measure: `Whole Note`

3. Third Measure:
- We have a quarter note (1 beat) already present.
- To complete 4 beats, we need an additional 3 beats.
- A half note (2 beats) and a quarter note (1 beat) will complete the measure.
- Final measure: `Quarter Note + Half Note + Quarter Note`

4. Fourth Measure:
- We have two quarter notes (1 beat each), totaling 2 beats.
- To complete 4 beats, we need an additional 2 beats.
- A half note (2 beats) will complete the measure.
- Final measure: `Quarter Note + Quarter Note + Half Note`

#### Part 2: Draw Bar Lines to Make Each Measure Equal 4 Beats for Common Time
We need to insert bar lines to divide the given sequence of notes into measures of 4 beats each.

1. Sequence: `G G G G G G G G`
- Each note is a quarter note (1 beat).
- Total beats: \(8\) (since there are 8 quarter notes).

2. Divide into Measures:
- Since each measure must have 4 beats, we can divide the sequence into two measures:
- First measure: `G G G G` (4 beats)
- Second measure: `G G G G` (4 beats)

3. Insert Bar Lines:
- Place a bar line after the fourth note to separate the first measure from the second measure.
- Final result: `| G G G G | G G G G |`

#### Part 3: Draw Bar Lines to Make Each Measure Equal 4 Beats for Common Time
We need to insert bar lines to divide the given sequence of notes into measures of 4 beats each.

1. Sequence: `C E F G C E G G`
- Each note is a quarter note (1 beat).
- Total beats: \(8\) (since there are 8 quarter notes).

2. Divide into Measures:
- Since each measure must have 4 beats, we can divide the sequence into two measures:
- First measure: `C E F G` (4 beats)
- Second measure: `C E G G` (4 beats)

3. Insert Bar Lines:
- Place a bar line after the fourth note to separate the first measure from the second measure.
- Final result: `| C E F G | C E G G |`

Final Answer:

1. Draw Notes to Make Each Measure Add Up to 4 Beats:
- Measure 1: `Half Note + Half Note`
- Measure 2: `Whole Note`
- Measure 3: `Quarter Note + Half Note + Quarter Note`
- Measure 4: `Quarter Note + Quarter Note + Half Note`

2. Draw Bar Lines to Make Each Measure Equal 4 Beats for Common Time:
- Sequence: `G G G G G G G G`
- Final result: `| G G G G | G G G G |`

3. Draw Bar Lines to Make Each Measure Equal 4 Beats for Common Time:
- Sequence: `C E F G C E G G`
- Final result: `| C E F G | C E G G |`

\boxed{
\text{See explanations above for detailed steps and final answers.}
}