**Teacher Notes**

In this section, some of the bars are missing from the graph. Students use the FACTS to deduce the nature of the missing bars.

**Solutions**

Use the FACTS and the bar graph.

Draw the missing bars.

**FACTS:**

- Lily has twice as many markers as Jan.
- Bob has 10 fewer markers than Kyle.
- Eric has half as many markers as Lily.

1. Use the FACTS and the bar graph.

Draw the bars.

**FACTS:**

- Ella has 2 more pens than Abe.
- Dora has twice as many pens as Bea.
- Cal has half as many pens as Abe.

2. Use the FACTS and the bar graph.

Draw the bars.

**FACTS:**

- Mary has 10 more pencils than Neil.
- Lisa has half as many pencils as Mary.
- Owen and Patty have 45 pencils altogether.