PSHS NCE Measurement and Unit Conversion Reviewer

TEACHER ABI PSHS NCE · QUANTITATIVE ABILITY

Measurement and Unit Conversion

Convert length, mass, capacity, time, area, and volume units without getting lost in the zeros.

Metric conversionsTime + elapsed timeArea + volume unitsQuick Fire + Mastery

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Measurement and Unit Conversion

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Convert only after you identify the unit

Length: mm, cm, m, km
Mass: mg, g, kg
Capacity: mL, L
Time: seconds, minutes, hours
Area: cm², m²
Volume: cm³, m³

Important: Area and volume conversions are not the same as length conversions. Squared units and cubic units change faster.

CONVERSION GUIDE

Use the relationship, not memorized guessing

Length

1 km=1,000 m

1 m=100 cm

1 cm=10 mm

Mass

1 kg=1,000 g

1 g=1,000 mg

Capacity

1 L=1,000 mL

Time

1 hr=60 min

1 min=60 sec

Why area is different

Since 1 m = 100 cm:

1 m² = 100 cm × 100 cm = 10,000 cm²

Why volume is different

Since 1 m = 100 cm:

1 m³ = 100 × 100 × 100 = 1,000,000 cm³

WORKED EXAMPLES

Seven patterns you should recognize

1. Meters to centimeters

3.6 m × 100 = 360 cm

2. Meters to kilometers

2,500 m ÷ 1,000 = 2.5 km

3. Kilograms to grams

4.2 kg × 1,000 = 4,200 g

4. Liters to milliliters

1.75 L × 1,000 = 1,750 mL

5. Hours to minutes

2.5 hr × 60 = 150 min

6. Square meters to square centimeters

2 m² × 10,000 = 20,000 cm²

7. Elapsed time

Start: 2:35 PM. End: 4:10 PM.

1 hour 35 minutes

TRY WITH ME

Which way should the number move?

Convert 4.8 km to meters.

1. 1 km = 1,000 m.
2. Kilometers are larger units than meters.
3. Going to the smaller unit means the number gets larger.
4. 4.8 × 1,000 = 4,800.

4,800 m

COMMON TRAPS

Watch out for these

Moving the decimal without knowing why.
Use the unit relationship first.

Treating hours like base 100.
Time uses 60 minutes per hour, not 100.

Using 100 for m² to cm².
It is 10,000 because both dimensions are converted.

Forgetting the unit in the answer.
A number without a unit may not fully answer the question.

REGULAR PRACTICE

Build the skill

QUICK FIRE

Can you convert without hesitation?

Question 1 of 5

FRESH MASTERY CHECK

Can you do it without hints?

Score 5/5 to verify this competency.

NEED HELP?

Too many zeros?

Send Teacher Abi the exact conversion that confused you. I can help you decide whether to multiply or divide before you calculate.

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PSHS NCE REVIEW PATH

Choose your next step

Next competency: Patterns, Sequences, and Number Relationships

Previous: Solid Figures, Surface Area, and VolumePSHS NCE Student Hub

PSHS NCE Geometry and Measurement Reviewer

TEACHER ABI PSHS NCE · QUANTITATIVE ABILITY

Geometry and Measurement

Use perimeter, area, angle facts, and unit conversions quickly and accurately.

Grade 6–7 friendlyPerimeter + AreaAngles + UnitsQuick Fire + Mastery

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Geometry and Measurement

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Know what the question is measuring

Perimeter is the distance around a shape.

Area is the amount of space inside a flat shape.

Rectangle:
Perimeter = 2L + 2W
Area = L × W

DO IT FAST

Use IDENTIFY → FORMULA → UNIT

1. IDENTIFY: Is the problem asking for perimeter, area, angle, or measurement?
2. FORMULA: Use only the formula you need.
3. UNIT: Check cm vs cm², m vs m², minutes vs hours, and so on.
4. REASON: Ask whether your answer is the right size.

WORKED EXAMPLES

Six patterns you should recognize

1. Rectangle perimeter

Length 8 cm, width 5 cm.

2(8) + 2(5) = 26 cm

26 cm

2. Rectangle area

Length 9 m, width 4 m.

9 × 4 = 36 m²

36 m²

3. Triangle area

Base 10 cm, height 6 cm.

1/2 × 10 × 6 = 30 cm²

30 cm²

4. Angle fact

Angles on a straight line add to 180°. If one angle is 125°, the other is:

180 − 125 = 55°

55°

5. Unit conversion

3.5 m = ? cm

3.5 × 100 = 350 cm

350 cm

6. Time conversion

2.5 hours = ? minutes

2.5 × 60 = 150 minutes

150 minutes

TRY WITH ME

Perimeter or area?

A rectangular garden is 12 m long and 7 m wide. How much fencing is needed to go around it?

1. Fencing goes around the garden.
2. So we need perimeter.
3. 2(12)+2(7)=24+14.

38 m

COMMON TRAPS

Watch out for these

Using area when the question asks “around.”
Around means perimeter.

Forgetting square units.
Area uses cm², m², and so on.

Using a slanted side as triangle height.
The height must be perpendicular to the base.

Converting units in the wrong direction.
1 m = 100 cm, so meters to centimeters gets larger.

REGULAR PRACTICE

Build the skill

These mix perimeter, area, angles, and measurement conversions.

QUICK FIRE

Can you choose the right formula fast?

Five short questions. Decide what is being measured before calculating.

Question 1 of 5

FRESH MASTERY CHECK

Can you do it without hints?

Score 5/5 to verify this competency. If you miss one, a fresh set will be ready.

NEED HELP?

Geometry formulas getting mixed up?

Send Teacher Abi the problem that confused you and your result. I can help you identify what the question is actually measuring.

Message Teacher Abi

PSHS NCE REVIEW PATH

Choose your next step

Next competency: Patterns, Sequences, and Number Relationships

Previous: Rates, Work, and DistancePSHS NCE Student Hub