Mathematics
Grade 10
15 min
Conversion tables - metric units
Conversion tables - metric units
What you'll learn
- Identify the correct conversion factor (e.g., 1000 meters = 1 kilometer) between common metric units of length (millimeters, centimeters, meters, kilometers) with 80% accuracy on a worksheet.
- Solve conversion problems involving metric units of length, mass (grams, kilograms), and volume (milliliters, liters) by using conversion tables to accurately convert between units in at least 4 out of 5 problems.
- Explain the relationship between different metric units (e.g., "A kilometer is 1000 times larger than a meter") in their own words, demonstrating understanding on an exit ticket.
- Apply knowledge of metric conversions to solve real-world problems (e.g., calculating the total length of a race in meters given distances in kilometers) with 75% accuracy.
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Recall and apply the primary metric prefixes for length (kilo-, centi-, milli-).
Use a conversion table or rule to convert any given metric length to a consistent base unit for calculations.
Convert all side lengths of a right triangle to a single, consistent metric unit before performing calculations.
Accurately apply the Pythagorean theorem to solve for unknown side lengths in right triangles presented with mixed metric units.
Use trigonometric ratios (sine, cosine, tangent) to solve for unknown sides or angles after standardizing all units.
Solve multi-step word problems involving right triangles where metric unit conversion is a necessary first step.
An engineer's blueprint shows a right-angled ramp with a base of 3 meters and a height of 120 cen...
2
Key Concepts & Vocabulary
TermDefinitionExample
Metric SystemA system of measurement based on the decimal system, where units are related by powers of 10. The base unit for length is the meter (m).Kilometer (km), meter (m), centimeter (cm), and millimeter (mm) are all metric units of length.
Metric PrefixesSyllables attached to the beginning of a base unit to indicate a multiple or fraction of that unit.In 'kilometer', 'kilo-' is the prefix meaning 1000. In 'centimeter', 'centi-' is the prefix meaning 1/100th.
Conversion TableA chart that shows the relationship between different units, allowing for systematic conversion by moving a decimal point or multiplying/dividing by powers of 10.km | hm | dam | m | dm | cm | mm. Moving from meters to centimeters is two steps to the rig...
3
Core Formulas
Metric Conversion: Decimal Shift Rule
King Henry Died By Drinking Chocolate Milk (km, hm, dam, base unit, dm, cm, mm)
This mnemonic helps remember the order of metric prefixes. To convert, count the number of 'jumps' between the starting unit and the target unit. Move the decimal point that many places in the same direction.
Pythagorean Theorem
a^2 + b^2 = c^2
Used in a right triangle to find the length of a third side when two sides are known. Before applying, ensure lengths 'a', 'b', and 'c' are all in the exact same metric unit (e.g., all in meters or all in centimeters).
Trigonometric Ratios
\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}, \cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}, \tan(\theta) = \frac...
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Challenging
A rectangular box has a length of 1.2 m, a width of 80 cm, and a height of 600 mm. What is the length of the space diagonal (the longest interior diagonal connecting opposite corners) in centimeters?
A.260 cm
B.140 cm
C.156.2 cm
D.100 cm
Challenging
A 10-meter ladder leans against a vertical wall, reaching a height of 800 cm. The ladder then slips, and its top slides 2000 mm down the wall. How far, in meters, did the base of the ladder slide away from the wall? Round to one decimal place.
A.2.0 m
B.8.0 m
C.6.0 m
D.2.9 m
Easy
What is the essential first step before applying the Pythagorean theorem to a right triangle with side lengths given as 800 mm and 1.2 m?
A.Square the numbers as they are given.
B.Convert both measurements to a single, consistent unit.
C.Find the average of the two numbers.
D.Divide the larger number by the smaller number.
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Frequently asked questions
What grade level is "Conversion tables - metric units"?
Conversion tables - metric units is a Grade 10 Mathematics lesson on ExcelOS.
What will I learn in Conversion tables - metric units?
You'll be able to: Identify the correct conversion factor (e.g., 1000 meters = 1 kilometer) between common metric units of length (millimeters, centimeters, meters, kilometers) with 80% accuracy on a worksheet; Solve conversion problems involving….
Is "Conversion tables - metric units" free to practice?
Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.
How many practice questions are included with Conversion tables - metric units?
This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.