實作範例 · 教師
以舊代數考卷為基礎，製作全新練習卷
一位代數 I 老師上傳了去年 6 月的 Regents 考卷，要求製作針對相同技能的練習卷。 為每道書寫作答題編寫了新的情境和新的數字，重新繪製了對應的圖表，核對了每個答案，並交回一份 Word 檔案。老師要求調低難度後，它在同一份試卷上修改，並加上了解題步驟。
1閱讀舊考卷的第 25 題
Question 1[2]
A survey was taken to determine whether runners preferred morning runs or evening runs. Of the 150 runners surveyed, 68 were women. Of the 92 runners who preferred morning runs, 45 were men. Use this information to complete the frequency table below.
- y
Hours Tutoring→ Hours Delivering- x
Hours Babysitting→ Hours Stocking
- 按真實考卷複製而成11 道題逐項技能、逐項配分重新改寫，每份答案在交付前都已核對。
- 重新繪製配合新題的圖表3 張方格圖按新的軸標籤和刻度重新繪製，直接放進 Word 檔案，不用你自己動手畫。
- 一份你可以持續調整的試卷「改簡單一點」在原卷上直接修改了同樣的 11 道題，並加上解題步驟。同一場對話，第二份檔案。
01 · 要求 1
複製了十一道書寫作答題
Make me a new practice paper from Parts II, III and IV of this (Q25-35). Same topics and same credit values, but change the numbers and contexts so the kids can't google the answers. Keep the 'show your work' instructions.
閱讀考卷，並根據第二至第四部分編寫
一份 28 頁的 PDF。老師只要書寫作答的部分，所以新試卷保留原有結構：六道 2 分題、四道 4 分題和一道 6 分題，每題都有「請寫出解題過程」的提示行。
- Part II6 × [2]
- Part III4 × [4]
- Part IV1 × [6]
為每道舊題編寫了新題目
技能相同、配分相同，但情境和數字都不同。考卷第 25 題問的是高二和高三學生對影片和音樂的偏好；練習卷第 1 題問的是跑步者對晨跑和夜跑的偏好，同樣需要填寫雙向表。
考卷第 25 題
新試卷第 1 題
Question 1[2]
A survey was taken to determine whether runners preferred morning runs or evening runs. Of the 150 runners surveyed, 68 were women. Of the 92 runners who preferred morning runs, 45 were men. Use this information to complete the frequency table below. Show all work to receive full credit.
標示處為所有改動之處。表格、配分和「請寫出解題過程」提示行均沿用考卷原樣。 交付前已核對每個答案
每道新題都附有答案，之後再用第二輪從頭解出全部十一題並互相比對。對這份試卷的核對報告引述於右側。第 1 題的答案就是填好的表格。
All 11 keys correct, answerable, on-topic, no duplicates.
答案，第 1 題
Men Women Total Morning Runs 45 47 92 Evening Runs 37 21 58 Total 82 68 150 為新情境重新繪製了圖表
十一道題中有三道需要方格圖。新情境意味著新的軸標籤，所以每張方格圖都按各自的題目重新繪製，並放進 Word 檔案。最後一題把保姆和補習換成上架貨品和送雜貨；0 至 20 的刻度保持不變。
考卷第 35 題
新試卷第 11 題
- y 軸
Hours Tutoring→ Hours Delivering- x 軸
Hours Babysitting→ Hours Stocking
第 5 題：直線的座標軸
第 7 題：f(x) 與 g(x) 的方格圖
02 · 要求 2
老師要求簡單一點的版本， 修改了同一份試卷
Good. Now make that same paper a bit easier for my support class - smaller whole numbers, fewer steps where you can - and add an answer key with worked solutions at the end.
十一道題中有十道把數字改小了
試卷是在原卷上直接修改，沒有重新編寫：情境、各部分、配分和「請寫出解題過程」提示行都保留。第 7 題維持原樣，因為其中的函數本來就很簡單。
- Q1
150 runners→3068 women→1492 morning→1845 men→10 - Q2
6(2 − y) > −10y − 4→3(2 − y) > y − 10 - Q4
−14, _, _, 7→2, _, _, 11 - Q11
$10 / $15 an hour→$6 / $8at least $180→$8018 hours→14 hours
- Q1
為每道題編寫了解題步驟
第一份試卷的答案只有最終結果。較簡單的試卷在末尾為每道題附上逐步解題過程，並按新數字重新計算，讓輔導班的學生可以自行核對作答。
較簡單版本的第 2 題
Solve the inequality for : . Show all work to receive full credit.
要求 1：答案
.
要求 2：解題步驟
- Distribute: .
- Add to both sides: .
- Add 10: .
- Divide by 4: , so .
03 · 每一道題
查看全部十一題，新舊對照
每張卡片先顯示考卷上印出的原題，再顯示要求 1 的新題及答案，以及要求 2 的新題及解題步驟。可滑動或使用箭嘴切換。
考卷第 25 題
要求 1：新數字
Question 1[2]
A survey was taken to determine whether runners preferred morning runs or evening runs. Of the 150 runners surveyed, 68 were women. Of the 92 runners who preferred morning runs, 45 were men. Use this information to complete the frequency table below. Show all work to receive full credit.
| Men | Women | Total | |
|---|---|---|---|
| Morning Runs | |||
| Evening Runs | |||
| Total |
| Men | Women | Total | |
|---|---|---|---|
| Morning Runs | 45 | 47 | 92 |
| Evening Runs | 37 | 21 | 58 |
| Total | 82 | 68 | 150 |
要求 2：更簡單、附解題步驟
Question 1[2]
A survey was taken to determine whether runners preferred morning runs or evening runs. Of the 30 runners surveyed, 14 were women. Of the 18 runners who preferred morning runs, 10 were men. Use this information to complete the frequency table below. Show all work to receive full credit.
| Men | Women | Total | |
|---|---|---|---|
| Morning Runs | |||
| Evening Runs | |||
| Total |
詳細解答
Morning–Men 10, Morning–Women 8, Morning Total 18; Evening–Men 6, Evening–Women 6, Evening Total 12; Men Total 16, Women Total 14, Grand Total 30.
- Of the 18 morning runners, 10 were men, so morning women = 18 − 10 = 8.
- Total women = 14, so evening women = 14 − 8 = 6.
- Total runners = 30, so evening runners = 30 − 18 = 12, and evening men = 12 − 6 = 6.
- Men total = 10 + 6 = 16; check 16 + 14 = 30. ✓
檔案
檔案來源： NYSED Regents Examinations, Algebra I, 2025 年 6 月考卷，版權屬紐約州教育廳所有。本頁引用的節錄僅用於與 的作品作比較。
帶上你自己的考卷
上傳一份舊試卷，說明你的需要。 會針對相同技能編寫新題目、重新繪製圖表、核對答案，還會按你的要求不斷調整同一份試卷：更簡單、更困難，或附上解題步驟。
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