UNIT: MEASUREMENT

ACT-Based Math: Scale Model & Measurement Calculations
OBJECTIVE:

Use rulers, digital calipers, and tape measures to create scaled-down models of real objects and apply measurement-related ACT math concepts.

Materials Needed:

Measurement tools: Ruler, digital caliper, tape measure

Objects to measure: A book, a phone, a shoebox, or a water bottle

Graph paper for scaled drawings

STEPS:

Measure the length, width, and height of a real-world object using all three tools (ruler, caliper, tape measure).

Create a scale drawing at half the size (1:2 scale) of the original.

Calculate the actual vs. scaled area and volume.

Application & Analysis Questions

How does changing the scale factor affect the area and volume of an object?

What challenges did you encounter when measuring with different tools, and how did they affect accuracy?

How do unit conversions impact real-world engineering and design applications?

Mathematical Thinking Challenge:

A book measures 21 cm × 15 cm × 3 cm. If a student creates a model at a 1:2 scale, what is the new volume? (ACT Math Score: 24-27)

A) 472.5 cm³

B) 236.25 cm³

C) 118.12 cm³

D) 59.06 cm³

If a room measures 12 ft × 10 ft and its dimensions increase by 20%, what is the new area? (ACT Math Score: 28-32)

A) 132 ft²

B) 144 ft²

C) 156 ft²

D) 172.8 ft²