10 Maths A – Term 1

Business Finance

Income

Measurement

Trigonometry

1 / UNIT LEARNING GOALS:
  • 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
/ Assessment
  • END OF TERM EXAM BASED ON FIRST 3 TOPICS
Success Criteria:
  • Accurate and successful completion of problems from textbook/s and/or worksheets
Key Verbs
Convert
Evaluate
Calculate
Express
Identify
Apply
Solve
Resources
SMQ 10 Chapters 4, 9 & 10
Maths Quest 3 Chapter 1 & 8
Glossary:
profit, loss, discount, gross, net, wage, salary, commission, piecework, overtime, deductions, additions, income, measurement, perimeter, circumference, area, surface area, volume, capacity, Pythagoras’ theorem, trigonometry.

10 Maths A – Term 2

Collecting & Displaying Data

Interest

1 / UNIT LEARNING GOALS:
  • 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.
/ Assessment
  • ASSIGNMENT BASED ON DATA
  • END OF TERM EXAM BASED ON ALL TOPICS
Success Criteria:
  • Accurate and successful completion of problems from textbook/s and/or worksheets
Key Verbs
Investigate
Display
Solve
Explore
Calculate
Collect
Classify
Construct
Resources
SMQ 10 Chapter 1
Maths Quest 3 Chapter 9
Finance Work Booklet
Glossary:
numerical, categorical, discrete, continuous, sampling, bias, survey, frequency distribution table, column, bar, line, sector, stem & leaf plot, scatterplot, misleading, simple interest, compound interest

10 Maths A – Term 3

Earth Geometry

Statistics

1 / UNIT LEARNING GOALS:
  • 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.
. / Assessment
  • ASSIGNMENT BASED ON EARTH GEOMETRY
  • END OF TERM EXAM BASED ON ALL TOPICS
Success Criteria:
  • Accurate and successful completion of problems from textbook/s and/or worksheets
Key Verbs
Calculate
Solve
Investigate
Apply
Manipulate
Explore
Resources
SMQ 10 Chapter 1 & 9
New Q Maths 11A Chapter 7 & 13
Glossary:
latitude, longitude, equator, Greenwich meridian, speed, distance, mean, median, mode, range, interquartile range, standard deviation, frequency, cumulative frequency, measure of spread, central tendency.

10 Maths A – Term 4

Construction

Navigation

1 / UNIT LEARNING GOALS:
  • 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
/ Assessment
  • 2 MATHS MATE TESTS
  • EXAM BASED ON FIRST ALL TOPICS
Success Criteria:
  • Accurate and successful completion of problems from textbook/s and/or worksheets
Key Verbs
Calculate
Measure
Identify
Reflect
Justify
Explore
Resources
SMQ 10 Chapter 9
New Q Maths 11A Chapter 9, 12 & 14
Maths Quest 10 Chapter 8
Glossary: Pythagoras, trigonometry, opposite, adjacent, hypotenuse, compass, true, level, bracing, squareness, construction, costs,