# Teacher plan · Day 68 About 35–45 minutes, or several shorter visits. This is an unpiloted planning suggestion, not a QCAA condition or a required dose. ## Prepare and access Prepare scrap paper, suitable large counters and labels. Prices/fees/offers and transport capacities are fictional. Device use is optional. Hide models before individual work. - Keep the mathematical purpose when changing mode. Do not assume a diagnosis predicts a preferred way to learn. - Offer a quiet place, one instruction at a time, a preview of the steps, a pause card and a visible finish point. No countdown, flashing rewards or forced sound. - Provide large text, high contrast, plain borders and a complete text alternative to each visual. Colour must never carry the only meaning. - For motor access, use a selection-and-destination control rather than drag-only interaction, large physical pieces or an adult moving pieces as directed. - For language access, explain group, each, total, left, fee, estimate and budget using the current story. Home-language explanations and bilingual notes are welcome; mathematical reasoning is assessed separately from spelling or English fluency. - Reduce a number range or show part of a model when appropriate, then record the change. These supports do not certify the original task independently completed. - No translation is represented as verified without a fluent reviewer and a recorded version. No invented First Nations language words, stories or cultural designs; seek the appropriate community’s permission and language guidance before a local cultural adaptation. ## Complete day sequence ## Day68 · Compare the same amount **Purpose:** Compare two whole-pack offers for the same required quantity and explain a whole-dollar unit cost. **Materials:** scrap paper,labelled groups,suitable large counters; plain fictional price/fee cards when relevant. No bought kit,device or printer required. ### Demonstration · D68 Offer A is six blank pens for a pretend $18. Offer B is four blank pens for a pretend $16. Exactly 12 pens are required; whole packs only. Do not compare the ticket prices before reading the pack sizes. Draw the required 12 places. Use two six-packs and three four-packs, then calculate total costs. Find 18 ÷ 6 = 3 dollars per pen and 16 ÷ 4 = 4 dollars per pen as a second check. Label dollars per pen separately from dollars per pack. All divisions have no remainder; do not introduce recurring decimals or real pricing claims. Whole-pack prices are invented, and this is not a recommendation about a retailer. **Model:** 2 × $18 = $36; 3 × $16 = $48. Both plans provide exactly 12 pens. Offer A costs $36, which is $12 less. Its unit cost is $3 per pen; B is $4 per pen. **Transfer probe:** When a cheaper ticket price buys a smaller pack, it may cost more to buy the same quantity. Ask the learner to show the quantity and money totals side by side. **Watch for:** Choosing $16 because it is the smaller ticket price; using one pack of each rather than equal quantities; omitting 'per pen' from unit cost. ### Three complete learner briefs **A:** Exactly 15 paper cards are required. A has three cards for $9; B has five cards for $20. Whole packs only; all prices pretend. Teacher example: A:5packs/$45; B:3packs/$60. Both supply exactly15 items. Whole-dollar unit costs A$3/B$4 per item. **B:** Exactly 12 labels are required. A has four for $20; B has six for $24. Whole packs only; all prices pretend. Teacher example: A:3packs/$60; B:2packs/$48. Both supply exactly12 items. Whole-dollar unit costs A$5/B$4 per item. **C:** Exactly 24 game cards are required. A has eight for $24; B has six for $24. Whole packs only; all prices pretend. Teacher example: A:3packs/$72; B:4packs/$96. Both supply exactly24 items. Whole-dollar unit costs A$3/B$4 per item. ### Own, check and next Use W08's four empty spaces and a complete selected brief. Ask for known/unknown quantities, model, sentence/strategy, check and useful message. Use C15/C16 individually and record actual support; copied work is not independent evidence. If needed choose the corresponding V01–V08target/fullN01–N32fresh mini-lesson. H08/X08 are optional new settings, not compulsory extra workload. ## Complete class routine - Connect: 3–5 minutes. Read the purpose. Ask what the numbers count and which amount is missing. Permit quiet thinking before replies. - Model: 7–10 minutes. Use the day’s exact demonstration. Point to every term in the representation. Show the worked answer as a teacher example, then remove it before individual work. - Try: 10–15 minutes. Learner chooses A, B or C after the teacher checks number demand. Make, draw, explain, sign, point or type; adults may scribe exactly what is dictated. Ask for the contextual unit and one check. - Compare: 5–8 minutes. Share two strategies with consent. A learner may use an anonymous sample or work privately. Discuss the supplied work, not the person. - Exit: 3–5 minutes. Use a C item individually. Record mathematical reasoning and the support given. Revisit the matching next-teaching target when needed. ## Give the material [Learner day](../learner/day-68.html) · [Full worksheet/three briefs](../worksheets/W08.html) · [Supplied teacher model](../assets/aids/V15.svg) · [Full model alternative](../assets/aids/V15.alt.html) · [Complete written read-aloud](../narration/day-68.html) [First neutral exit](../ordinary/C15.html) · [Second neutral exit](../ordinary/C16.html) · [First staff exit](exits/C15.html) · [Second staff exit](exits/C16.html) ## Full worksheet staff note Use the complete Day68 plan and C15/C16 exit. Record route and supports. Accept clear equivalent models; drawing neatness and spelling are not maths criteria.