# H03S: Bivariate Data 2

\$4.00 each

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Stage/No: H03 Length: 3 weeks CF Outcomes: 13, 14, 17 Levels: 6, 7, 8 Due out: available now

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H03S: Bivariate Data 2 3 week module Old ISBN: 1876800615 New APN: 9781876800611

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This information is found in the wrap around pages of the teachers module. It details the Curriculum Framework Outcomes addressed in the module.

Outcomes 1 & 2 should be an inherent part of all mathematics lessons.

1. Show a disposition to use mathematics to assist with understanding new situations, solving problems and making decisions, showing initiative, flexibility and persistence when working mathematically and a positive attitude to their own continued involvement in learning and doing mathematics.

2. Appreciate that mathematics has its origins in many cultures, and its forms reflect specific social and historical contexts, and understand its significance in explaining and influencing aspects of our lives.

Outcomes 3, 4 & 5 "Working Mathematically" are an integral part in the design of every module. These outcomes determined the three stage learning process developed in each module.

3. Call on a repertoire of general problem-solving techniques, appropriate technology and personal and collaborative management strategies when working mathematically.

4. Choose mathematical ideas and tools to fit the constraints in a practical situation, interpret and make sense of the results within the context and evaluate the appropriateness of the methods used.

5. Investigate, generalise and reason about patterns in number, space and data, explaining and justifying conclusions reached.

Outcomes 13 and 14 from Ã¢â‚¬Å“Chance & DataÃ¢â‚¬Â and 17 from Ã¢â‚¬Å“AlgebraÃ¢â‚¬Â are specific to this module.

13. Plan and undertake data collection and organise, summarise and represent data for effective and valid interpretation and communication.

14. Locate, interpret, analyse and draw conclusions from data, taking into account data collection techniques and chance processes involved.

17. Recognise and describe the nature of the variation in situations, interpreting and using verbal, symbolic, tabular and graphical ways of representing variation.

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### Major Student Outcomes

This information is found in the wrap around pages of the teachers module. It details the major student outcomes that should have been developed during the module. (Student Outcome Statement numbering is first, e.g. SOS 5.1a, Progress Map numbering is bracketed e.g. [PM 15.5])

### Working Mathematically

Working mathematically outcomes at levels 6, 7 and 8 are interwoven with the structure of these modules.

### Chance and Data

C&D6.2 [CD13.6] Plans experiments, surveys and secondary data collection, collaboratively and independently, checking that data are recorded and organised correctly, including in databases.

C&D7.2 [C&D13.7] Plans experiments, simulations, surveys, secondary data collection and the construction of databases, considering the quality and appropriateness of observations and suitability of samples.

C&D6.3 [C&D13.6] Displays and summarises data to show location and variability (including when some grouping of data is required) in order to compare data sets and to show relationships in one data set.

C&D7.3 [C&D13.7] Displays and summarises data to show location, variability and association, and links displayed data with measures of location, variability and association.

C&D6.4 [C&D14.6] Interprets, makes comparisons and describes relationships in collected and published data from tables, diagrams, plots, graphs, prose, summary statistics and databases, distinguishing sample and population data.

C&D7.4 [C&D14.7] Selects and interprets information from a wide range of collected and published data including to construct arguments to support or refute a position taken.

C&D8 [C&D12.8, 13.8*, 14.8*] Comments on data in terms of what conclusions might reasonably be drawn from them, distinguishing between conclusions reached on the basis of evidence and those reached on other grounds, such as personal opinion or habit.

### Algebra

A6.2 [A17.6] Plots, sketches and interprets graphs, considering points, interval lengths, increases and decreases over an interval, and slope.

A7.2 [A17.7] Plots, sketches and interprets graphs in four quadrants considering local and global features including maxima and minima and cyclical changes.

A7.3 [A17.7] Recognises and represents at least linear, reciprocal, exponential and quadratic functions in tables, symbols and graphs and describes assumptions needed to use these functions as models.

A8 [A17.8*, A18.8*, A19.8*] Readily identifies algebraic form or structure in mathematical situations, recognising particular situations as instances of more general ones, and moving smoothly between the general case and specific instances.

### Other Strands

To a lesser degree some outcomes from other strands are also integrated into this module.

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This information is found in the wrap around pages of the teachers module. It gives details about the module.

### Module Length:

Approximately 3 weeks (12 hours). This may vary upward according to the ability and prior understandings of the students.

### Outcomes Levels:

Includes outcomes from levels 6, 7 & 8.

### Stage/Number:

Each Integrated Maths Module has been assigned a stage and number. The stage is designed to help teachers in their sequencing of modules. The number is for identification of each module.

This module is H03, that is stage H module 3.

The content of this module is:

Bivariate data
Line graphs
Moving Averages
Scatter graphs
Trend lines

### Language development:

The following terms (or derivations of them) are an essential part of this module:

bivariate data
time series data
line graph
scatter graph
correlation coefficient
trend
trend line
line of best fit
moving average
interpolation
extrapolation

These terms are in bold whenever they appear in this text.

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The structure of all modules is to present materials in three stages:

### Exploration - Formalisation - Application

The files available here for downloading are a Sample Activity from the Exploration Stage of this module and a Sample Application from the Application stage of this module.

These files are available as pdf files. To view and print these files you will need a program like Adobe Acrobat Reader which is available free here.

### Downloads

These links are to the sample files:

Sample Activity
Sample Application

{slider=Unit Curriculum Links}

This information is found in the wrap around pages of the teachers module produced for Western Australian schools. It details the links to the old Unit Curriculum objectives for schools trying to adapt programmes etc.

Unit Curriculum Objectives covered are:

From Maths Development 5.4

• F 5.2 Interpret and draw situations which can be represented by travel and other graphs.
• F 5.5 Describe situations represented by graphs.

From Maths Development 5.3

• I 5.2 Draw trend lines on graphs of time series data.
• I 5.5 Make inferences from time series data and make predictions, using trend lines.

From Maths Development 6.3

• I 6.2 Collect bivariate data in the form of facts and opinions.
• I 6.4 Organise bivariate data (in the form of facts and opinions) into tables and scattergraphs, and draw lines of best fit.
• I 6.8 Make inferences from tables, scattergraphs and lines of best fit.

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