Each fits roughly 5–10 minutes and can be done with spoken explanation or scrap paper. It is not a prerequisite, reward tier or second assessment. A parent need not teach a new method, print a page, share expenses or make an account. For Days 15/20, use after the first check response only.
| Day | Extra task | Self-check |
|---|---|---|
| 11 | Invent two identical boxes with x+7 counters. Write total in two forms; test x=1. |
2(x+7)=2x+14; both 16 at 1. |
| 12 | Simplify 7a−2+3a+5; test a=0. |
10a+3; both 3 at 0. |
| 13 | Find two ways to factor 12b+24 and expand each. |
12(b+2) and 6(2b+4) both expand correctly. |
| 14 | In H=4+6r, can total H=23 describe whole refills? |
(23−4)/6=19/6, not a whole refill. The model needs review. |
| 15 | After check: explain why 7d+14=7(d+2) for any d. |
Seven groups of d+2; expansion recovers 7d+14. |
| 16 | Solve 3s−2=10 and check. |
s=4; 3×4−2=10. |
| 17 | With invented totals 4+2x and 10+x, find equality and check x=5/7. |
Equality x=6; at 5 second is 15 versus first 14, at 7 first 18 versus second 17. |
| 18 | For whole a≥0, solve 2a+3<11. |
a<4; allowed 0,1,2,3. At 4, 11 is not less than 11. |
| 19 | Solve 18−4v≤6 and test 3/2. |
v≥3; at 3 both sides 6, at 2 left 10, so false. |
| 20 | After check: give a graph/text explanation for 2x+8≤20 with whole x≥0. |
x≤6, integers 0–6; 6 reaches 20, 7 exceeds it. |
Original SubjectNest extras © NeuroForgeIO Pty Ltd 2026, CC BY 4.0.