{
    "name": "Daily Bell Ringers Library",
    "description": "Free bell ringers (3–5 minute classroom warm-ups) for grades 6–12, with answers and teacher notes.",
    "url": "https://dailybellringers.org/bell-ringer-library/math/",
    "license": "https://creativecommons.org/licenses/by-nc/4.0/",
    "credit": "Daily Bell Ringers (dailybellringers.org)",
    "filters": {
        "subject": "Math",
        "grade": "All"
    },
    "generated": "2026-10-13T16:21:56+00:00",
    "count": 4,
    "items": [
        {
            "id": 85,
            "date": "2026-10-13",
            "grade": "Grades 9–12",
            "subject": "Math",
            "topic": "Comparing two-dice probabilities",
            "prompt": "You roll two fair six-sided dice and add the numbers. Which is more likely: a sum of 7 or a sum of 10? Give the probability of each as a fraction in lowest terms.",
            "answer": "There are 6 × 6 = 36 equally likely outcomes.\nSum of 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6 outcomes, so 6/36 = 1/6.\nSum of 10: (4,6), (5,5), (6,4) = 3 outcomes, so 3/36 = 1/12.\nA sum of 7 is twice as likely as a sum of 10. Check: 1/6 = 2/12. The most common error is counting (4,6) and (6,4) as the same outcome; on two separate dice they are different.",
            "sources": "",
            "url": "https://dailybellringers.org/bell-ringer/math-bell-ringer-grades-9-12-comparing-two-dice-probabilities/",
            "set_url": "https://dailybellringers.org/bell-ringers-grades-9-12-2026-10-13/",
            "pin": "https://dailybellringers.org/wp-content/uploads/pins/lib-math-bell-ringer-grades-9-12-comparing-two-dice-probabilities.png?v=324bea43"
        },
        {
            "id": 80,
            "date": "2026-10-13",
            "grade": "Grades 6–8",
            "subject": "Math",
            "topic": "Finding the better deal with unit prices",
            "prompt": "- Store A sells 6 granola bars for $4.50. Store B sells 8 granola bars for $5.60. Which store has the better price per bar?\n- How much would you save buying 24 bars at the better price instead of the other one?",
            "answer": "1. Store A: $4.50 ÷ 6 = $0.75 per bar. Store B: $5.60 ÷ 8 = $0.70 per bar. Store B is the better deal.\n2. Store A: 24 × $0.75 = $18.00. Store B: 24 × $0.70 = $16.80. You save $1.20. Check: 5 cents saved per bar × 24 bars = $1.20.\nCommon mistake: picking Store A because $4.50 is the smaller total. The unit price is what lets you compare packs of different sizes.",
            "sources": "",
            "url": "https://dailybellringers.org/bell-ringer/math-bell-ringer-grades-6-8-finding-the-better-deal-with-unit-prices/",
            "set_url": "https://dailybellringers.org/bell-ringers-grades-6-8-2026-10-13/",
            "pin": "https://dailybellringers.org/wp-content/uploads/pins/lib-math-bell-ringer-grades-6-8-finding-the-better-deal-with-unit-prices.png?v=845cf051"
        },
        {
            "id": 70,
            "date": "2026-10-12",
            "grade": "Grades 6–8",
            "subject": "Math",
            "topic": "Homework fractions and a sale price",
            "prompt": "- A class has 28 students. Three-fourths of them turned in their homework. How many students did NOT turn it in?\n- A $40 hoodie is on sale for 25% off. What is the sale price?",
            "answer": "1. 28 ÷ 4 = 7, so one-fourth is 7 students. Three-fourths (21) turned it in, which leaves 7 students who did not.\n2. 25% of $40 is $10. $40 − $10 = $30. Shortcut: 25% off means you pay 75%, and 0.75 × 40 = 30.",
            "sources": "",
            "url": "https://dailybellringers.org/bell-ringer/math-bell-ringer-grades-6-8-homework-fractions-and-a-sale-price/",
            "set_url": "https://dailybellringers.org/bell-ringers-grades-6-8-2026-10-12/",
            "pin": "https://dailybellringers.org/wp-content/uploads/pins/lib-math-bell-ringer-grades-6-8-homework-fractions-and-a-sale-price.png?v=90ba29d1"
        },
        {
            "id": 75,
            "date": "2026-10-12",
            "grade": "Grades 9–12",
            "subject": "Math",
            "topic": "Solving a linear equation",
            "prompt": "Solve for x, then check your answer: 3(x − 4) = 2x + 5",
            "answer": "3x − 12 = 2x + 5 → x − 12 = 5 → x = 17\nCheck: 3(17 − 4) = 3(13) = 39, and 2(17) + 5 = 39. Both sides match. The most common error is distributing the 3 to x only and writing 3x − 4.",
            "sources": "",
            "url": "https://dailybellringers.org/bell-ringer/math-bell-ringer-grades-9-12-solving-a-linear-equation/",
            "set_url": "https://dailybellringers.org/bell-ringers-grades-9-12-2026-10-12/",
            "pin": "https://dailybellringers.org/wp-content/uploads/pins/lib-math-bell-ringer-grades-9-12-solving-a-linear-equation.png?v=e6d89ed8"
        }
    ]
}