Reshape herds into rectangles, water at the comparison hole, and hunt hidden pattern features.
REMEMBER: A number’s factor pairs are the rectangles you can make from that many
creatures. If a number makes only one rectangle (a single-file line), it is prime;
if it makes more than one, it is composite. “Times as many” is
multiplication, not addition — 15 is 3 times as many as 5, but only 10 more than
5. A rule generates a pattern; the pattern often has features the rule never spelled out.
Part 1 · Reshape the Herd
Pick a number of creatures. Its factor pairs are all the ways you can pack them into a
rectangle. Try each pair — the shape changes but the count never does.
Tap a factor pair below to reshape the herd. A single-file rectangle means the number is prime.
Herd size
24
All factor pairs
…
Prime or composite?
…
The Watering Hole — times as many vs. more than
A zebra drinks Z liters. An elephant drinks either k times as much as the zebra, or
k more than the zebra. Watch the tape diagrams and see how different those really are.
The Pattern Trail
Pick a rule. The trail generates the first ten terms — look for features that the rule never named:
even/odd flips, digits that repeat, sums that grow in a pattern of their own.
Part 2 · Expedition Challenges
Multistep story problems from the safari. Pick your answer, lock in, then see the reveal — including
how to interpret the remainder.
Part 3 · The Machines
Three step-by-step machines. Each step says what to do and why.
Find every factor pair and decide prime or composite
Turn a comparison sentence into an equation
Generate a pattern and hunt hidden features
Part 4 · Safari Ranger Quiz
Ten questions. Each wrong answer tells you which part to revisit.
Question 1 of 10Score: 0
Word Box
Factor
A whole number that divides another exactly, with no remainder. 3 is a factor of 12 because 12 ÷ 3 = 4.
Factor pair
Two factors that multiply to a target number. 3 × 4 = 12 makes (3, 4) a factor pair of 12.
Multiple
A number you reach by multiplying: 3, 6, 9, 12, 15 are multiples of 3. A number is a multiple of each of its factors.
Prime
A whole number greater than 1 with exactly two factors: 1 and itself. Only makes one rectangle: 1 × n.
Composite
A whole number greater than 1 with more than two factors. Makes more than one rectangle.
Multiplicative comparison
“A is k times as many as B” means A = k × B. Uses multiplication.
Additive comparison
“A is k more than B” means A = B + k. Uses addition.
Pattern rule
A recipe (like “add 5” or “multiply by 2”) that produces each next term.
Remainder
What is left after equal sharing. In a word problem, whether to round up, drop, or use it depends on the story.