Year 10A Unit Plans

10 Maths A – Term 1

Business Finance

Income

Measurement

Trigonometry

• Use percentages to calculate profit/loss/discount and sale price.
• Manipulate formulas to find original price of items
• Calculate the profit/loss/discount as a percentage of the original cost.

• Calculate gross and net wages
• Apply mathematical process to calculate various income types (eg. Wage, salary, commission, piecework, overtime etc.)
• Identify the key features of different income types.

• Use Pythagoras’ theorem to calculate length of unknown sides of a right-angled triangle.
• Convert measurements from one unit to another
• Apply appropriate formula to calculate the perimeter and area of 2D shapes
• Apply appropriate formula to calculate the surface area, volume and capacity of 3D shapes
• Manipulate formula to find various unknowns
• Apply measurement knowledge to solve real-life scenarios

• Identify sides of a right-angled triangle in relation to a given angle
• Apply Sin/Cos/Tan to find unknown sides of a right-angled triangle
• Apply Sin/Cos/Tan to find unknown angles in a right-angled triangle
• Use trigonometry and Pythagoras’ theorem to solve real-life scenarios

• END OF TERM EXAM BASED ON FIRST 3 TOPICS

• Accurate and successful completion of problems from textbook/s and/or worksheets

10 Maths A – Term 2

Collecting & Displaying Data

Interest

• Classify types of data as numerical, categorical, discrete and continuous data
• Sampling methods to ensure accurate representation of populations.
• Investigate methods of collecting data (questioning, observing & experimenting) and introduce bias
• Constructing Frequency Distribution Tables (grouped and non-grouped)
• Displaying data (column, bar, line, sector, stem & leaf plot, scatterplots)
• Investigating techniques to represent data in a misleading manner

• Apply appropriate formula to calculate simple interest (interest, total and periodic)
• Apply appropriate formula to calculate compound interest (interest, total and periodic)
• Manipulate formula to find principal, rate and time in simple and compound scenarios
• Compare interest rates in real-life scenarios.

• ASSIGNMENT BASED ON DATA
• END OF TERM EXAM BASED ON ALL TOPICS

• Accurate and successful completion of problems from textbook/s and/or worksheets

10 Maths A – Term 3

Earth Geometry

Statistics

• Understand and apply the concept of latitude, longitude and measurement of time.
• Calculate distances on the common lines of latitude or longitude
• Apply appropriate techniques to calculate speed and rotation of the earth.
• Apply earth geometry knowledge to manipulate formula and find unknowns in real-life scenarios.

• Understand and use sample means and medians as measures of central tendency from lists and tables
• Calculate sample standard deviations and interquartile range as descriptors of spread and use to make comparisons from lists and tables.
• Apply statistics knowledge to manipulate formula and find unknowns in real-life scenarios.

• ASSIGNMENT BASED ON EARTH GEOMETRY
• END OF TERM EXAM BASED ON ALL TOPICS

• Accurate and successful completion of problems from textbook/s and/or worksheets

10 Maths A – Term 4

Construction

Navigation

• Calculating appropriate levels for construction
• Identifying and ensuring squareness for construction
• Calculating lengths of wall braces to increase stability
• Measuring areas and volumes to calculate painting and flooring costs
• Manipulate formula to find various unknowns
• Reflect on strengths and limitations of models

• Apply appropriate formula to find unknowns in right-angled triangles (eg. Pythagoras’ theorem, Trigonometry)
• Measure angles
• Identify bearings as both True and Compass
• Calculate back bearings
• Draw and describe appropriate routes using bearings
• Investigate alternative procedures/solutions to scenarios
• Reflect on the strengths and limitations of models

• 2 MATHS MATE TESTS
• EXAM BASED ON FIRST ALL TOPICS

• Accurate and successful completion of problems from textbook/s and/or worksheets