Chapter 13 of Class 5 Maths, Animal Jumps, uses the lengths different animals can jump to explore measurement, comparison, “how many times further” reasoning, and multiplication and division word problems built around jump distances.
Key Concepts
Comparing Jump Lengths
Different animals jump very different distances relative to their own body size – a flea can jump many times its own body length, while a human’s best jump is usually only a few times their height. Comparing jump length to body length gives a fair, scaled comparison rather than just comparing raw distances.
“How Many Times” Comparisons
To find how many times one length is compared to another, divide the bigger length by the smaller one. If a kangaroo jumps 8 m and a person jumps 2 m, the kangaroo jumps 8 ÷ 2 = 4 times as far.
Using Multiplication for Repeated Jumps
If an animal makes the same jump length repeatedly, the total distance covered after several jumps is found by multiplying the jump length by the number of jumps: a 3 m jump repeated 5 times covers 3 × 5 = 15 m total.
Using Division to Find Jump Length or Count
If the total distance covered and the number of jumps are known, the jump length is found by dividing total distance by number of jumps. If the total distance and jump length are known, the number of jumps is found by dividing total distance by jump length.
Estimating and Rounding Jump Distances
Since real animal jump lengths vary jump to jump, problems often use rounded or average distances, and estimating a reasonable answer before calculating helps check whether a final answer makes sense.
Worked Examples
Example 1: Times-As-Far Comparison
A grasshopper jumps 60 cm and an ant jumps 5 cm. How many times as far does the grasshopper jump compared to the ant?
60 ÷ 5 = 12 times as far.
Example 2: Total Distance From Repeated Jumps
A frog makes 6 jumps of 45 cm each. What total distance does it cover?
45 × 6 = 270 cm.
Example 3: Finding Number of Jumps
A kangaroo covers 56 m in jumps of 7 m each. How many jumps did it make?
56 ÷ 7 = 8 jumps.
Quick Recap
- “How many times” comparisons are found by dividing the larger length by the smaller one.
- Total distance from repeated equal jumps = jump length × number of jumps.
- Number of jumps = total distance ÷ jump length; jump length = total distance ÷ number of jumps.
- Comparing jump length to body length gives a fairer sense of an animal’s jumping ability than raw distance alone.
- Estimating before calculating helps catch unreasonable answers in jump-distance word problems.
Common Mistakes to Avoid
- Dividing the smaller length by the bigger one when finding “how many times as far,” which gives a fraction instead of the intended whole-number comparison.
- Confusing when to multiply (total from repeated equal jumps) with when to divide (finding jump length or count from a total).
- Comparing raw jump distances between very different-sized animals without considering their body length for a fair comparison.
- Forgetting to keep units consistent (cm vs m) before comparing or calculating.
- Rounding jump lengths too early in a multi-step problem, which can throw off the final answer.
Home Practice Tips
- Measure how far a family member can jump (a standing broad jump) and compare it to their own height as a “times as tall” ratio.
- Look up real jump distances of animals like frogs, kangaroos, and fleas, and calculate how many times further one jumps than another.
- Mark out a repeated-jump distance with chalk or tape and calculate the total distance after a set number of jumps.
- Create a simple word problem: if a toy frog jumps a fixed distance each time, how many jumps are needed to cross a measured length of floor?
- Practise switching between multiplication and division by working both “find the total” and “find the count” versions of the same jump scenario.
Frequently Asked Questions
Q1. Why do we compare an animal’s jump to its own body length instead of just the raw distance?
Because a small animal jumping 30 cm may be jumping many times its own body length (an impressive feat), while a much larger animal jumping the same 30 cm may barely be moving relative to its size, so scaling to body length gives a fairer measure of jumping ability.
Q2. How do I know whether to multiply or divide in a jump-distance word problem?
If the jump length and number of jumps are known and the total distance is being asked, multiply; if the total distance is known and either the jump length or number of jumps is missing, divide the total by the known value.
Q3. What does it mean when we say one animal jumps “3 times as far” as another?
It means the first animal’s jump distance, when divided by the second animal’s jump distance, equals 3 – the first jump could exactly cover the same length as three of the second animal’s jumps placed end to end.
Q4. Why is it important to keep units the same before comparing two jump lengths?
Because comparing a distance in centimetres directly with one in metres without converting would give a wildly incorrect and meaningless comparison.
Q5. Can “how many times as far” ever give an answer that is not a whole number?
Yes – if one distance does not divide evenly into the other, the answer can be a fraction or decimal, showing the first distance is, for example, 2.5 times the second rather than an exact whole-number multiple.
Full walkthrough: Chapter 13 Solutions · Extra Questions.
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