Khaemenes Academy · Open-Age Mathematics

Unit 04 Foundation Practice

Guided review with smaller steps and reference formulas.

Directions: Show exact work before decimals, label domains or intervals, and explain calculator use.

1. {'id': 'u04-l01', 'number': 1, 'title': 'Angles in Standard Position & Coterminal Angles', 'family': 'unitcircle', 'week': 10, 'unit': 4, 'unit_title': 'Angles, Radians & the Unit Circle', 'essential': 'How does circular measure connect angles, coordinates, arc length, angular velocity, and exact trigonometric values?', 'project': 'Unit Circle Construction & Circular Motion Study'}

Convert 150° to radians.

2. {'id': 'u04-l01', 'number': 1, 'title': 'Angles in Standard Position & Coterminal Angles', 'family': 'unitcircle', 'week': 10, 'unit': 4, 'unit_title': 'Angles, Radians & the Unit Circle', 'essential': 'How does circular measure connect angles, coordinates, arc length, angular velocity, and exact trigonometric values?', 'project': 'Unit Circle Construction & Circular Motion Study'}

Convert 7π/4 to degrees.

3. {'id': 'u04-l01', 'number': 1, 'title': 'Angles in Standard Position & Coterminal Angles', 'family': 'unitcircle', 'week': 10, 'unit': 4, 'unit_title': 'Angles, Radians & the Unit Circle', 'essential': 'How does circular measure connect angles, coordinates, arc length, angular velocity, and exact trigonometric values?', 'project': 'Unit Circle Construction & Circular Motion Study'}

Find an angle coterminal with −π/3 in [0,2π).

4. {'id': 'u04-l01', 'number': 1, 'title': 'Angles in Standard Position & Coterminal Angles', 'family': 'unitcircle', 'week': 10, 'unit': 4, 'unit_title': 'Angles, Radians & the Unit Circle', 'essential': 'How does circular measure connect angles, coordinates, arc length, angular velocity, and exact trigonometric values?', 'project': 'Unit Circle Construction & Circular Motion Study'}

Find sin(5π/6).

5. {'id': 'u04-l01', 'number': 1, 'title': 'Angles in Standard Position & Coterminal Angles', 'family': 'unitcircle', 'week': 10, 'unit': 4, 'unit_title': 'Angles, Radians & the Unit Circle', 'essential': 'How does circular measure connect angles, coordinates, arc length, angular velocity, and exact trigonometric values?', 'project': 'Unit Circle Construction & Circular Motion Study'}

Find cos(7π/4).

6. {'id': 'u04-l01', 'number': 1, 'title': 'Angles in Standard Position & Coterminal Angles', 'family': 'unitcircle', 'week': 10, 'unit': 4, 'unit_title': 'Angles, Radians & the Unit Circle', 'essential': 'How does circular measure connect angles, coordinates, arc length, angular velocity, and exact trigonometric values?', 'project': 'Unit Circle Construction & Circular Motion Study'}

A wheel of radius 4 turns through 3π/2 radians. Find arc length.

7. {'id': 'u04-l02', 'number': 2, 'title': 'Degrees, Radians & Conversion', 'family': 'unitcircle', 'week': 10, 'unit': 4, 'unit_title': 'Angles, Radians & the Unit Circle', 'essential': 'How does circular measure connect angles, coordinates, arc length, angular velocity, and exact trigonometric values?', 'project': 'Unit Circle Construction & Circular Motion Study'}

Convert 150° to radians.

8. {'id': 'u04-l02', 'number': 2, 'title': 'Degrees, Radians & Conversion', 'family': 'unitcircle', 'week': 10, 'unit': 4, 'unit_title': 'Angles, Radians & the Unit Circle', 'essential': 'How does circular measure connect angles, coordinates, arc length, angular velocity, and exact trigonometric values?', 'project': 'Unit Circle Construction & Circular Motion Study'}

Convert 7π/4 to degrees.

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