Explanation:
Let’s go through each problem one by one and fill in the missing numbers.
1.
Rachel has 16 candies. Mike has 4 more candies than Rachel.
- Rachel = 16
- Mike = Rachel + 4 = 16 + 4 =
20
So the top bar (Mike) should be 20. The bar model shows two parts: one unknown (the full bar), and below it, 16 + 4 = 20. So the missing number in the top bar is
20.
2.
Jacob has 18 crayons. Mia has 5 fewer crayons than Jacob.
- Jacob = 18
- Mia = Jacob − 5 = 18 − 5 =
13
The bottom bar (Mia) is shown as ? and 5, meaning ? + 5 = 18 → ? = 13. So the missing number is
13.
3.
Maria has 6 fewer toys than Oliver. Maria has 12 toys.
- Maria = 12
- Maria = Oliver − 6 → Oliver = Maria + 6 = 12 + 6 =
18
The top bar (Oliver) is shown as 12 + 6 = 18, so that’s correct. The bottom bar (Maria) is just 12 — but in the diagram, the bottom bar has a blank space and then “?” on the right. Wait — let's read carefully:
The diagram shows:
- Top bar: [blank] [12] [6] → this likely means Oliver = 12 + 6 = 18
- Bottom bar: [blank] [?]
But the text says Maria has 12 toys, so the bottom bar should represent Maria = 12. Since it's shown as a single bar with a “?” inside, and the top bar is split into 12 and 6, the bottom bar (Maria) is just 12 — so the “?” is
12.
However, looking again: the layout for this part shows:
```
[blank] [12] [6]
[blank] [?]
```
That suggests the top bar is Oliver = 12 + 6 = 18, and the bottom bar is Maria = ?, which we know is 12. So yes, ? =
12.
4.
Mia bought 7 fewer items than Daniel. Daniel bought 15 items.
- Daniel = 15
- Mia = Daniel − 7 = 15 − 7 =
8
The diagram shows:
- Top bar: ? and 7 → meaning ? + 7 = 15 → ? = 8
- Bottom bar: 15
So the missing number (Mia’s count) is
8.
Now let’s list all the missing values in order as they appear in the bars:
- First problem: Mike’s total =
20
- Second problem: Mia’s crayons =
13
- Third problem: Maria’s toys =
12
- Fourth problem: Mia’s items =
8
But looking at the bar models more precisely:
1. First model:
Top bar: [ ] [ ? ] → actually, the top bar has a blank and then a box with “?” — but the lower bar is split into 16 and 4, summing to 20. So the top bar (Mike) is 20, and the “?” is the whole top bar →
20
2. Second model:
Top bar: [ ] [18]
Bottom bar: [ ] [ ? ] [5] → so ? + 5 = 18 → ? =
13
3. Third model:
Top bar: [ ] [12] [6] → total = 18 (Oliver)
Bottom bar: [ ] [ ? ] → Maria = 12 → ? =
12
4. Fourth model:
Top bar: [ ] [ ? ] [7] → ? + 7 = 15 → ? =
8
Bottom bar: [ ] [15]
So the four missing numbers are:
- First ?:
20
- Second ?:
13
- Third ?:
12
- Fourth ?:
8
Final Answer:
20, 13, 12, 8
Parent Tip: Review the logic above to help your child master the concept of bar modeling worksheet 2nd grade.
