MATHEMATICS - YEAR 11

Learning Objectives

By the end of these lessons, students will be able to:

• Use metric units of length, area, mass, volume, and energy.
• Convert between different units of measurement.
• Estimate and calculate perimeters, areas, and volumes of various objects.
• Understand the relationship between volume and capacity.
• Apply measurement concepts to real-world contexts, including energy consumption and food energy.

Learning Objectives

By the end of these lessons, students will be able to:

• Substitute numerical values into algebraic expressions.
• Evaluate algebraic expressions using substitution, including rational expressions.
• Apply substitution in mathematical formulas to solve real-world problems.
• Use substitution in functions, including quadratic and interest formulas.

Learning Objectives

By the end of these lessons, students will be able to:

• Interpret different types of graphs, including histograms, dot plots, line graphs, step graphs, and column graphs.
• Analyze information in two-way tables and calculate probabilities using them.
• Discuss and interpret graphs found in media and factual texts.
• Draw appropriate graphs for different datasets and use spreadsheets to graph data.
• Create and interpret scatter plots and determine the line of best fit.

Learning Objectives

By the end of these lessons, students will be able to:

• Classify categorical and numerical data.
• Display categorical and numerical data using various graphical methods (e.g., histograms, dot plots, frequency charts).
• Calculate measures of central tendency (mean, median, mode) and interpret measures of spread (range, interquartile range, standard deviation).
• Compare data sets using statistical measures and graphical representations.
• Investigate the effect of outliers on data analysis.
• Recognize inappropriate uses of data presentation and interpretation.

Learning Objectives

By the end of these lessons, students will be able to:

• Use and convert between different units of time.
• Represent time using 12-hour and 24-hour clocks.
• Calculate time intervals and interpret timetables.
• Compare travel times using various transportation modes.
• Use scales to calculate distances on maps and optimize routes.
• Calculate speed, distance, and time using the formula: speed = distance/time.
• Interpret and analyze distance-versus-time graphs.

Learning Objectives

By the end of these lessons, students will be able to:

• Review and apply conversions between metric units of length, area, mass, and volume.
• Calculate the perimeter of regular and composite shapes.
• Use formulas to calculate the area of regular and irregular figures.
• Find the surface area and volume of regular solids, including prisms, pyramids, spheres, and cylinders.
• Convert between volume and capacity units and recognize their relationships.

Learning Objectives

By the end of these lessons, students will be able to:

• Recognize and classify common two-dimensional shapes and three-dimensional solids.
• Interpret two-dimensional representations of three-dimensional objects, including nets and perspective diagrams.
• Use symbols and conventions for representing geometric information.
• Interpret, create, and solve problems using scale drawings.
• Apply Pythagoras' Theorem and trigonometric ratios to solve right-angled triangle problems.
• Understand and apply the concepts of angles of elevation, depression, and bearings.

Learning Objectives

By the end of these lessons, students will be able to:

• Recognize and classify common two-dimensional shapes and three-dimensional solids.
• Interpret two-dimensional representations of three-dimensional objects, including nets and perspective diagrams.
• Use symbols and conventions for representing geometric information.
• Interpret, create, and solve problems using scale drawings.
• Apply Pythagoras' Theorem and trigonometric ratios to solve right-angled triangle problems.
• Understand and apply the concepts of angles of elevation, depression, and bearings.

Learning Objectives

By the end of these lessons, students will be able to:

• Understand the procedures and advantages/disadvantages of conducting a census and surveys.
• Investigate different kinds of sampling methods and their potential biases.
• Design simple surveys and evaluate data collection methods.
• Interpret bivariate scatterplots and the relationships between two variables.
• Find and interpret the line of best fit using both manual and technological methods.
• Recognize the limitations and dangers of extrapolating data and distinguish between correlation and causality.

Learning Objectives

By the end of these lessons, students will be able to:

• Locate positions on Earth using latitude and longitude through various technologies (GPS, globes, atlas, digital tools).
• Calculate distances between two locations on the same longitude or using digital technology.
• Understand the relationship between longitude and time.
• Solve problems related to time zones, daylight saving, and the International Date Line.
• Address practical problems involving time zones, such as travel and communication across time zones.

Learning Objectives

By the end of these lessons, students will be able to:

• Locate positions on Earth using latitude and longitude through various technologies (GPS, globes, atlas, digital tools).
• Calculate distances between two locations on the same longitude or using digital technology.
• Understand the relationship between longitude and time.
• Solve problems related to time zones, daylight saving, and the International Date Line.
• Address practical problems involving time zones, such as travel and communication across time zones.

Learning Objectives

By the end of these lessons, students will be able to:

• Understand the principles of simple and compound interest.
• Solve problems involving compound interest and population growth using recurrence relations.
• Use technology to calculate and compare future values of loans or investments.
• Investigate how interest rates, compounding periods, and repayments affect loans.