Five warm-ups for grades 6–8. Each takes three to five minutes. Answers and teacher notes are in the collapsed box under each prompt.
ELA
A verb must agree with its subject: a singular subject takes a singular verb, and a plural subject takes a plural verb. Choose the correct verb in each sentence. Then circle the subject that the verb agrees with.
- The box of crayons (is / are) on the shelf.
- The dogs in the yard (bark / barks) at the mail carrier.
- Each of the students (has / have) a locker.
- Neither the coach nor the players (was / were) late.
- Everyone in my family (like / likes) pancakes.
Answer and teacher notes
1. is (subject: box) 2. bark (subject: dogs) 3. has (subject: Each) 4. were (closest subject: players) 5. likes (subject: Everyone)
The trap in sentences 1 and 3 is a prepositional phrase (of crayons, of the students) sitting between the subject and the verb. Tip: cross out the phrase, then read the sentence again. In sentence 4, with neither…nor or either…or, the verb agrees with the subject closest to it. Compare: Neither the players nor the coach was late. Words like each, everyone, everybody, and nobody are singular.
Math
A trail mix recipe uses 3 cups of cereal, 2 cups of pretzels, and 1 cup of raisins.
- You need 18 cups of trail mix for a class event. How many cups of each ingredient do you need?
- What fraction of the mix is pretzels? Does that fraction change when you make a bigger batch?
- You only have 5 cups of raisins and want to use all of them. How much cereal and how many pretzels do you need?
Answer and teacher notes
1. One batch makes 3 + 2 + 1 = 6 cups. 18 ÷ 6 = 3 batches, so multiply each amount by 3: 9 cups cereal, 6 cups pretzels, 3 cups raisins. Check: 9 + 6 + 3 = 18. ✓
2. 2 out of 6 cups = 2/6 = 1/3. It does not change: in the big batch, 6 out of 18 cups is still 1/3. Scaling a recipe keeps the ratio the same.
3. Raisins go from 1 cup to 5 cups, a scale factor of 5. Cereal: 3 × 5 = 15 cups. Pretzels: 2 × 5 = 10 cups. Check: 15 : 10 : 5 simplifies to 3 : 2 : 1. ✓
A ratio table with columns for cereal, pretzels, raisins, and total helps students see the pattern. Common error: adding the same number to each ingredient (for example, +4 cups to each) instead of multiplying, which changes the ratio and the taste.
Science
Sunlight looks white, but it contains all the colors of the rainbow. Blue light travels in shorter, smaller waves than red light, and the gas molecules in air scatter blue light more than other colors. (a) Use this to explain why the daytime sky looks blue. (b) At sunset, sunlight passes through much more air to reach you. Why does the sky near the Sun turn orange and red? (c) Mars has a thin atmosphere full of fine dust, and its sunsets look blue-gray near the Sun. What does that tell you about the role of the atmosphere in sky color?
Answer and teacher notes
(a) Air molecules bounce blue light in every direction, so blue light reaches your eyes from all parts of the sky, not just from the Sun. (b) On the long path through the atmosphere at sunset, most of the blue light gets scattered away before it reaches you. The longer red, orange, and yellow waves make it through. Dust and other particles in the air can make sunsets even more colorful.
(c) Sky color depends on what the atmosphere is made of and what particles are in it. Mars’s dust scatters light differently than Earth’s air, which is why its daytime sky looks orange or reddish and its sunsets look bluish, the reverse of Earth. Follow-up: why is the sky black on the Moon? (There is almost no atmosphere to scatter light.)
Social Studies
On October 21, 1805, a British fleet led by Admiral Horatio Nelson fought a combined French and Spanish fleet off Cape Trafalgar, on the southwest coast of Spain between Cádiz and the Strait of Gibraltar. The French-Spanish fleet had 33 ships (18 French and 15 Spanish). The British had 27. The French-Spanish side lost 19 or 20 ships, and the British lost none. Nelson was fatally wounded during the battle. (a) How many more ships did the French-Spanish fleet have? (b) Write the ratio of French to Spanish ships in simplest form. (c) Britain is an island. Why would a big win at sea make it very hard for Napoleon to invade Britain?
Answer and teacher notes
(a) 33 − 27 = 6 more ships. (b) 18 : 15 = 6 : 5 (divide both by 3). (c) To invade an island, an army has to cross the water by ship. With so much of the French and Spanish fleet lost, Napoleon could not protect an invasion force crossing to Britain. Britannica notes that Trafalgar ended Napoleon’s plans to invade England and kept Britain’s navy dominant for more than a century.
Extension: the French-Spanish side lost 19 or 20 of its 33 ships. Is that more or less than half? (More: 19 ÷ 33 ≈ 58%.) The battle was 221 years ago today (2026 − 1805). Map tip: find Cádiz, the Strait of Gibraltar, and the English Channel to show how far the fleets were from Britain.
Source: Britannica: Battle of Trafalgar
Current Events
Bleached corals have lost most of the tiny algae that live inside them and help feed them. Stanford scientists reported last week on a lab experiment with 10 pairs of coral pieces. In each pair, both pieces came from the same coral, but one was healthy and one was badly bleached. In 5 pairs, the pieces touched. In the other 5 pairs, they were kept a few millimeters apart. Every bleached piece that touched its healthy partner fully recovered within seven weeks. The bleached pieces kept apart died. (a) Which group is the control group, and why does the experiment need one? (b) In the second week, the algae in recovering corals doubled about every four days. If a coral piece had 100 algae cells, about how many would it have after 16 days? (c) The scientists say this method can’t fix whole reefs yet. Why not?
Answer and teacher notes
(a) The 5 separated pairs are the control group. Without them, you couldn’t tell whether the bleached pieces got better because of the touching or would have recovered anyway. (b) 16 ÷ 4 = 4 doublings. 100 → 200 → 400 → 800 → 1,600 cells. (Equivalent: 100 × 24.)
(c) Each bleached coral needs a healthy partner that is genetically identical to it, and that isn’t practical across a whole reef. The study was also done in a lab, not in the ocean. The researchers’ next step is finding a way to deliver helpful algae without physical contact. Researchers said the algae spread about ten times faster than scientists have seen in wild corals. The study appears in Science Advances. Push for careful wording: the sample was small (5 pairs per group), so a good scientist would want to repeat it with more corals.
Source: ScienceDaily: A Simple Touch Can Bring Dying Corals Back to Life in Just 7 Weeks (Stanford University)
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