Question: GRADE 5, WEEK 1. SKILL FLUENCY
Daniel
MY SCORE: ____ / 8
MONDAY
1) What fraction would be located at point B
below?
0
A
B
C
1
2/3
2) Plot 1/3 on the number line below.
0
1
3) Plot the fraction 2/7 on the number line
below.
0
1
4) Find the difference.
693 - 124 = ?
571
5) Solve: 560 + 495 = ?
560
+ 495
955
6) Solve: 489 + ? = 600
221
7) [Insert data-driven problem]
[insert data-driven problem]
Without mistakes, there are no lessons. Without lessons, there is no progress. Without progress, there is no
achievement. 6Paul Irvine
top-left: number line from 0 to 1 with points A, B, and C evenly spaced; handwritten labels 1 above A, 2 above B, 3 above C, and the fraction 2/3 written below. top-right: a number line from 0 to 1 with 1/3 circled and plotted at the right endpoint area. center-left: a number line from 0 to 1 divided into 7 equal parts, with 2/7 plotted at the second tick mark. center-right: arithmetic problem 693 - 124 = 571, with 571 boxed. bottom-left: vertical addition 560 + 495 = 955. bottom-right: equation 489 + ? = 600 with 221 written as the answer.
User: Grade this student and explain his misconceptions if he got it wrong
1. **Problem 1: Identify the fraction at point B on the number line divided into three equal parts between 0 and 1.**
The points A, B, and C divide the segment from 0 to 1 into three equal parts, so:
$$\text{Fraction at A} = \frac{1}{3}, \quad \text{Fraction at B} = \frac{2}{3}, \quad \text{Fraction at C} = 1$$
The student answered $\frac{2}{3}$ for point B, which is correct.
2. **Problem 2: Plot $\frac{1}{3}$ on the number line from 0 to 1.**
The student circled and plotted $\frac{1}{3}$ near the right endpoint (close to 1), which is incorrect because $\frac{1}{3}$ is closer to 0 than to 1.
Correct placement is one-third of the distance from 0 to 1, closer to 0.
3. **Problem 3: Plot the fraction $\frac{2}{7}$ on the number line from 0 to 1 divided into 7 equal parts.**
The student plotted $\frac{2}{7}$ at the second tick mark, which is correct.
4. **Problem 4: Find the difference $693 - 124$.**
The student answered $571$, which is correct.
5. **Problem 5: Solve $560 + 495$.**
The student answered $955$, which is correct.
6. **Problem 6: Solve $489 + ? = 600$.**
The student answered $221$, but let's check:
$$600 - 489 = 111$$
The correct missing number is $111$, so the student's answer $221$ is incorrect.
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### Summary and Misconceptions:
- The student correctly identified the fraction at point B as $\frac{2}{3}$.
- The student correctly plotted $\frac{2}{7}$ and solved the arithmetic problems in questions 4 and 5 correctly.
- The student incorrectly plotted $\frac{1}{3}$ too close to 1 instead of near 0. This suggests a misunderstanding of fraction size and placement on a number line.
- The student incorrectly found the missing addend in question 6, giving $221$ instead of $111$. This may indicate a calculation error or misunderstanding of subtraction to find the missing number.
### Final Score:
Out of 6 graded problems (excluding the data-driven problem 7 which is missing), the student got 4 correct and 2 incorrect.
**Score: 4 / 6**