Applied Mathematics

Unit 1: Number

Fractional parts, fractions and mixed numbers, renaming, and comparing and ordering fractions.

• Simple fractional parts
• Fractions and mixed numbers
• Renaming fractions
• Comparing and ordering fractions

Unit 2: Operations

Mental math and estimation, operations with integers, decimals and fractions, denominate numbers and conversions, ratio and percent, and trade calculations for lumber and voltage.

• Mental math and estimation strategies
• Applying estimation in problems
• Operations with integers and decimals

• Adding and subtracting fractions
• Fraction problems
• Common fractions to decimals
• Decimals to sixteenths

• Adding and subtracting denominate numbers
• Multiplying and dividing denominate numbers
• Converting measurements mentally
• Converting measurements using rate

• Ratio and rafter proportions
• Estimating materials and cost
• Percent in problems
• Lineal feet and board feet
• Dry cells in series and parallel

Unit 3: Patterns and Relations

The Pythagorean Theorem in trade situations, scale developments, Ohm's Law and electrical circuits, power and energy, and the pattern between perimeter and surface area.

• Identifying right angles
• Scale developments
• Rafter length with Pythagoras
• Solving for a side with Pythagoras

• Equivalent resistance
• Ohm's Law
• Analysing series and parallel circuits
• Electrical power
• Electrical energy
• Perimeter and surface area patterns

Unit 4: Measurement

Selecting and using measuring devices for metric, imperial, scale, and electrical measurement.

• Metric measuring devices
• Imperial measuring devices
• Scale measuring devices
• Electrical measuring devices

Unit 5: Geometry (Spatial Sense)

Orthographic and isometric drawings, hidden and missing lines, and perimeter, surface area, and volume of polygons, circles, and right prisms.

• Shapes from mat plans and orthographic drawings
• Orthographic drawings from mat plans
• Isometric drawings from mat plans
• Identifying composite isometric drawings
• Hidden and missing lines
• Isometric and orthographic conversion

• Perimeter of polygons and circles
• Surface areas of polygons, circles and prisms
• Volumes of right prisms
• Surface area and volume patterns
• Constructing right prisms

Unit 6: Data Management

Organizing and compiling data in appropriate formats to make it easy to work with.

• Organizing and compiling data