Wonderscape Academy8th grade

September Β· Week 1 Β· Day 3 Β· School day 3

Day 3: Numbers That Never Repeat

Week 1 planDay 4 β†’

Play with your child: Root Words: Geo

Today’s goals

  • Word study: Build new words with prefixes and suffixes L.8.4b
  • Reading: Theme clues: what characters learn RL.8.2, RL.8.3
  • Math: Irrational numbers and the square root of 2 8.NS.1, 8.NS.2
  • Science: Reading the periodic table MS-PS1-1

Materials

  • The Call of the Wild by Jack London (or similar)
  • Periodic table (one per pair)
  • Grid paper and rulers
  • Calculators
  • Root cards and prefix/suffix cards (re-, auto-, -ology, -ic)
  • Sticky notes

Swaps in [brackets] are fine: a drawn 1-inch square on grid paper replaces a ruler for the square root of 2 demonstration.

The day, step by step

  1. 10–15 min Morning meeting SL.8.1

    1. Question of the day: Is a number like 0.333... messy or neat? Take a quick vote, then hear one reason from each side.
    2. Fluency warm-up: a student reads a paragraph from yesterday's short story aloud; the class listens for expression.
    3. Preview: today we meet numbers that never repeat, build bigger words, and read the periodic table like a map.
  2. 15–20 min Word study L.8.4b

    1. Review: a root carries the core meaning; prefixes come before and suffixes after. Show geo + logy = geology (study of the earth) and geo + graph + ic = geographic.
    2. Students combine cards to build and define six words: biology, geologic, autobiography, photographic, thermometer, geometric.
    3. Challenge: what does a word mean if it ends in -ology? Students list three -ology words they know (biology, geology, zoology) and guess two more.
    4. Write two sentences using a built word in each; share one aloud.
  3. 25–30 min Reading workshop RL.8.2, RL.8.3

    The Call of the Wild by Jack London (or similar)

    1. Mini-lesson: theme clues often appear when a character learns something. Ask: what has Buck learned so far about the rules of his new life?
    2. Read the next section aloud (about 8 pages). Students jot on sticky notes every moment Buck learns a lesson, such as the law of club and fang.
    3. Chart the lessons. Ask: what might the author want us to understand about survival or change?
    4. Students draft a possible theme for the novel so far, labeled as a working theme they can revise.
    5. Independent reading: 10 minutes, noting one thing their own main character learns.
  4. 35–45 min Math 8.NS.1, 8.NS.2

    1. Draw a square with 1-inch sides on grid paper and its diagonal. Ask: how long is the diagonal? Measure (about 1.4 inches) and explain that the exact length is the square root of 2.
    2. Use calculators to show √2 = 1.41421356... Explain that mathematicians have proved these digits never end and never repeat, so √2 cannot be written as a fraction. It is irrational.
    3. Sort: √4, √9, √16 are rational (2, 3, 4). √2, √3, √5 are irrational. Students test √25, √10, √49, √50 and decide.
    4. Introduce pi as another irrational number: 3.14159..., the ratio of circumference to diameter that never repeats.
    5. Exit ticket: name one rational and one irrational number and say how you know.

    Math center: perfect squares chart from 1Β² to 15Β², built by students on an index card.

  5. 25–30 min Science MS-PS1-1

    1. Periodic table scavenger hunt: in pairs, find the symbol and atomic number for oxygen, sodium, gold, neon and calcium. Note that symbols can come from Latin names (Au for gold).
    2. Explain the rows and columns: elements in a column share properties. Point out the noble gases on the far right and the metals on the left.
    3. Students pick one element and write three facts: symbol, atomic number, metal or nonmetal, and one place it is found or used.
    4. Discuss: why is the periodic table like a map? (It organizes by position and pattern.)
  6. 25–30 min Writing W.8.2, RL.8.2

    1. Teach the five-sentence objective summary: who or what, the main problem or idea, two key events or details, the outcome. No opinions.
    2. Model with yesterday's short story, writing the five sentences on the board and crossing out one opinion that sneaks in.
    3. Students write a five-sentence summary of the Call of the Wild chapters so far.
    4. Peer check: partners circle any opinion words (I think, boring, great) and the writer removes them.
  7. 20–30 min Centers and independent practice

    1. Perfect squares chart and estimating √20, √45 and √90 between two whole numbers.
    2. Element card: draw an atom model for your chosen element with the correct number of protons.
    3. Independent reading with a lesson-learned sticky note.
    4. Word building: make five words with -ology or -ic and define them.

    Device time (15 min): play Root Words: Geo.

    Today’s game: Root Words: Geo

  8. 5–10 min Closing circle SL.8.1

    1. Finish this sentence: An irrational number is a number that...
    2. What has Buck learned that you think will matter later?
    3. Preview tomorrow: latitude, longitude and turning repeating decimals back into fractions.
Support: Let students use a calculator to see the decimals for every root they sort, and provide the perfect squares chart already filled in.
Stretch: Ask students to estimate √2 to the hundredths place by squaring 1.41 and 1.42 and explaining which is closer.
Look for: Students can explain that irrational numbers have decimals that never end or repeat and can give √2 and pi as examples.

Short day? Keep the √2 lesson and the read-aloud with theme clues; move the periodic table hunt to tomorrow's centers.