Programme of Study
1.1.a: Applying suitable mathematics accurately within the classroom and beyond.
Estimating Population Size
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1.1.c: Selecting appropriate mathematical tools and methods, including ICT.
1.3.a: Knowing that mathematics is a rigorous, coherent discipline.
Estimating Population Size
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1.3.b: Understanding that mathematics is used as a tool in a wide range of contexts.
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1.3.c: Recognising the rich historical and cultural roots of mathematics.
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1.3.d: Engaging in mathematics as an interesting and worthwhile activity.
Determining a Spring Constant
Estimating Population Size
1.4.a: Knowing that mathematics is essentially abstract and can be used to model, interpret or represent situations.
Estimating Population Size
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1.4.b: Recognising the limitations and scope of a model or representation.
2.1.a: identify the mathematical aspects of the situation or problem
Estimating Population Size
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2.1.d: select mathematical information, methods, tools and models to use.
2.2.a: make connections within mathematics
2.2.d: identify and classify patterns
Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences
2.2.e: make and justify conjectures and generalisations, considering special cases and counter-examples
Biconditional Statements
Conditional Statements
Geometric Probability
Polling: Neighborhood
Reaction Time 1 (Graphs and Statistics)
2.2.h: work logically towards results and solutions, recognising the impact of constraints and assumptions
Biconditional Statements
Conditional Statements
Estimating Population Size
2.2.i: identify a range of techniques that could be used to tackle a problem, appreciating that more than one approach may be necessary
2.2.o: record methods, solutions and conclusions
Biconditional Statements
Reaction Time 1 (Graphs and Statistics)
2.2.p: estimate, approximate and check working.
2.3.a: form convincing arguments to justify findings and general statements
2.3.b: consider the assumptions made and the appropriateness and accuracy of results and conclusions
2.3.c: appreciate the strength of empirical evidence and distinguish between evidence and proof
Biconditional Statements
Conditional Statements
2.3.e: relate their findings to the original question or conjecture, and indicate reliability
2.3.g: critically examine strategies adopted.
2.4.c: consider the elegance and efficiency of alternative solutions
2.4.d: look for equivalence in relation to both the different approaches to the problem and different problems with similar structures
3.1.c: proportional reasoning, direct and inverse proportion, proportional change and exponential growth
3.1.e: linear, quadratic and other expressions and equations
3.1.f: graphs of exponential and trigonometric functions
Compound Interest
Cosine Function
Exponential Functions
Introduction to Exponential Functions
Logarithmic Functions
Sine Function
Tangent Function
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions
3.2.a: properties and mensuration of 2D and 3D shapes
3.2.b: circle theorems
Chords and Arcs
Inscribed Angles
3.2.c: trigonometrical relationships
Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function
3.2.d: properties and combinations of transformations
Circles
Dilations
Reflections
Rotations, Reflections, and Translations
Translations
3.2.f: vectors in two dimensions
3.2.g: conversions between measures and compound measures
3.3.a: the handling data cycle
Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Polling: City
Real-Time Histogram
Stem-and-Leaf Plots
3.3.b: presentation and analysis of large sets of grouped and ungrouped data, including box plots and histograms, lines of best fit and their interpretation
Box-and-Whisker Plots
Correlation
Histograms
Least-Squares Best Fit Lines
Mean, Median, and Mode
Polling: City
Real-Time Histogram
Sight vs. Sound Reactions
Solving Using Trend Lines
Stem-and-Leaf Plots
Trends in Scatter Plots
3.3.c: measures of central tendency and spread
Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots
3.3.d: experimental and theoretical probabilities of single and combined events.
Binomial Probabilities
Geometric Probability
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
Estimating Population Size
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Estimating Population Size
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Correlation last revised: 9/16/2020