Geometry, Measurement and Finance 10

Unit 1: Algebra

Rearranging and applying formulas from geometry, measurement, and finance to solve problems.

• Perimeter, area, volume and capacity formulas
• Pythagorean and trigonometric formulas
• Income and currency-exchange formulas
• Interest and finance-charge formulas

Unit 2: Number

Unit pricing and currency exchange, income, financial institution services, compound interest, and credit options as consumer finance decisions.

• Unit pricing and currency exchange

• Wages, salary and contracts
• Commission and piecework
• Gross and net pay

• Banking accounts and transaction services
• Fees and managing an account

• Calculating compound interest
• Comparing simple and compound interest

• Credit cards and their cost
• Loans and comparing credit options

Unit 3: Geometry

Spatial reasoning puzzles, the Pythagorean theorem, primary trigonometric ratios, angle relationships between lines, and properties of angles.

• Analyzing spatial puzzles and games

• Recognizing and verifying the Pythagorean theorem
• Applying the Pythagorean theorem to solve problems

• Similarity and trig ratios in right triangles
• Applying the primary trigonometric ratios
• Solving problems with trigonometry

• Angles from parallel, perpendicular and transversal lines

• Drawing, replicating and bisecting angles
• Solving problems with angles

Unit 4: Measurement

The SI and Imperial measurement systems, and solving linear, area, and surface-area/volume measurement problems in both systems.

• SI units and their relationships

• Imperial units and their relationships

• Solving linear measurement problems

• Area of regular, composite and irregular shapes

• Surface area and volume of prisms
• Surface area and volume of cylinders
• Surface area and volume of cones and pyramids
• Surface area and volume of spheres