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.

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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.

1.4.a: Knowing that mathematics is essentially abstract and can be used to model, interpret or represent situations.

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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 a situation or problem

Estimating Population Size

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2.1.d: select mathematical information, methods and tools to use.

2.2.a: make connections within mathematics

2.2.d: identify and classify patterns

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Function Machines 2 (Functions, Tables, and Graphs)

Geometric Sequences

Pattern Finder

2.2.e: make and begin to 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

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2.2.i: appreciate that there are a number of different techniques that can be used to analyse a situation

2.2.o: record methods, solutions and conclusions

Biconditional Statements

Reaction Time 1 (Graphs and Statistics)

2.2.p: estimate, approximate and check working.

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Estimating Sums and Differences

Multiplying Decimals (Area Model)

2.3.a: form convincing arguments based on findings and make general statements

2.3.b: consider the assumptions made and the appropriateness and accuracy of results and conclusions

2.3.c: be aware of the strength of empirical evidence and appreciate the difference between evidence and proof

Biconditional Statements

Conditional Statements

2.3.e: relate findings to the original context, identifying whether they support or refute conjectures

2.3.g: consider the effectiveness of alternative strategies.

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

2.4.e: make connections between the current situation and outcomes, and situations and outcomes they have already encountered.

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3.1.a: rational numbers, their properties and their different representations

Modeling Decimals (Area and Grid Models)

Modeling Whole Numbers and Decimals (Base-10 Blocks)

Rational Numbers, Opposites, and Absolute Values

Solving Algebraic Equations II

3.1.b: rules of arithmetic applied to calculations and manipulations with rational numbers

3.1.c: applications of ratio and proportion

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

Estimating Population Size

Geometric Probability

Part-to-part and Part-to-whole Ratios

Proportions and Common Multipliers

Road Trip (Problem Solving)

3.1.d: accuracy and rounding

3.1.f: linear equations, formulae, expressions and identities

3.1.g: analytical, graphical and numerical methods for solving equations

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

Circles

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Order of Operations

Parabolas

Point-Slope Form of a Line

Points, Lines, and Equations

Quadratics in Polynomial Form

Radical Functions

Solving Algebraic Equations II

Solving Equations on the Number Line

Standard Form of a Line

3.1.h: polynomial graphs, sequences and functions

Graphs of Polynomial Functions

Polynomials and Linear Factors

Quadratics in Factored Form

3.2.a: properties of 2D and 3D shapes

3.2.b: constructions, loci and bearings

3.2.c: Pythagoras' theorem

Circles

Surface and Lateral Areas of Pyramids and Cones

3.2.d: transformations

Circles

Dilations

Reflections

Rotations, Reflections, and Translations

Translations

3.2.e: similarity, including the use of scale

Perimeters and Areas of Similar Figures

3.2.f: points, lines and shapes in 2D coordinate systems

Points in the Coordinate Plane

3.2.h: perimeters, areas, surface areas and volumes

Chocomatic (Multiplication, Arrays, and Area)

Perimeters and Areas of Similar Figures

3.3.a: the handling data cycle

Box-and-Whisker Plots

Correlation

Describing Data Using Statistics

Graphing Skills

Movie Reviewer (Mean and Median)

Polling: City

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

3.3.b: presentation and analysis of grouped and ungrouped data, including time series and lines of best fit

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

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

Movie Reviewer (Mean and Median)

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

3.3.d: experimental and theoretical probabilities, including those based on equally likely outcomes.

Estimating Population Size

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Estimating Population Size

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Correlation last revised: 9/16/2020

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