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MAT081C-2024

See also: teaching-implementation, teaching-mathematics

Implement planning and resources for MAT081C in 2024.

Term 1#

Foci#

  • solve problems involving the 4 operations with integers and positive rational numbers AC9M8N04
  • use mathematical modelling to solve practical problems involving percentages AC9M8N05
  • conduct statistical investigations AC9M8ST04
  • explain the implications of obtaining data through sampling AC9M8ST01
  • analyse and describe the distribution of data AC9M8ST02
  • compare the variation in distributions of random samples of the same and different size from a given population with respect to shape, measures of central tendency and range AC9M8ST03

Planning#

To do#

My approach

  • Know and do table

    • Figure out if/how to demonstrate accessibly the K&D table
    • Should the know be expanded?
  • Develop CK for statistical investigation

  • Develop PK for statistical investigation

    • misconceptions
    • mathshub

Questions and ideas#

For the Year 8 team

  • Is CODAP an allowed and useful tool?
  • Any common pretests being used - statistics and integers?
  • What exactly is a portfolio task?
  • What are the homework expectations in Year 8?
  • Pedantic question about lessons 2-3 and "various methods of collecting data"

    Two sets given:

    • (collecting data) survey, census, questionnaire; and,
    • (collecting primary data) observation, measurement and surveys

    Questions

    • Are we using survey to mean gathering data from a sample of a population, rather than a census?
    • Is a better distinction between who/what to gather data about and how to gather that data

Assessment#

Task Title Assessment Type Brief Assessment Description Handout Date DraftDate DueDate
AI1 Assignment Unit 1 Assignment -- Statistics Investigation 05/02/24
Start week 3
20/02/24
end of week 5
Integers and Percentages Portfolio Unit 1 Test -- Integers and Percentage 22/03/24
end of week 9

Delivery Plan#

Week Commencing Lesson 1 (Monday - Period 4) Lesson 2 (Tuesday - Period 3) Lesson 3 (Thursday - Period 1)
1 22/01/2024 MAT081C-2024-U1L1
Welcome, routines, expectations, overview of term
Pretest (Statistics)
Samples & Populations
- Understand the difference between a sample & a population
- Understand the various methods of collecting data (survey, census, questionnaire)
- Select an appropriate sample and know if it is biased or not
- Variations in distributions, effect of sample size
Primary & Secondary data
- Understand the difference between primary & secondary data
- Understand various methods of collecting primary data (observation, measurement & surveys)
- Understand the source and reliability of secondary data
Organising & displaying data
- Organise data into a frequency table
2 29/01/2024 Organising & displaying data
- Construct column graph / histogram from a frequency table
- Use technology to construct a histogram
Organising & displaying data
- Construct column graph / histogram from a frequency table
- Use technology to construct a histogram
Measures of centre & spread
- Determine the mean, median, mode & range of a set of data
3 05/02/2024 Assignment Hand out
- Decide their topic
- Design survey Q
Assignment lesson
- Collect data- Organise data into frequency table
Measures of centre & spread
- Identify possible outliers in a set of data and understand how they affect the mean, median & range
4 12/02/2024 Assignment lesson
- Collect data from other class
- Construct graph from frequency table
Assignment lesson
- Calculate measures of centre & spread for their data
Analysing data
- Analyse a data set using summary statistics
- Make predictions about a population from a sample- Variations in distributions, effect of sample size
5 19/02/2024 Assignment lesson
- Analyse data
- Write report
Assignment lesson (due date)
- Write report
Integers
- Pretest- Understand integers can be negative, zero, positive
- Understand the features of number line
6 26/02/2024 Adding & Subtracting integers
- Understand adding a negative integer is the same as subtracting a positive integer
- Understand subtracting a negative integer is the same as adding a positive integer
- Add & subtract integers
Multiplying & Dividing integers
- Understand the product/ quotient of two negative numbers is positive
- Understand the product of a positive & a negative number is negative
- Multiply & Divide integers
Applying order of operations to integers
- Apply the order of operations to evaluate mathematical expressions
7 05/03/2024 Practical problems applying the order of operations
- Apply the order of operations to evaluate mathematical expressions in real context
Reviewing percentage, fraction & decimal relationships
- Convert between percentages, fractions & decimals
Calculating percentages of quantities
- Calculate percentages of an amount
8 12/03/2024 Solving percentage problems involving mark-up, discount & GST
- Understand the concept of mark-up, discount & GST**
- Calculate the mark-up/discounted amount of an item**
- Calculate prices before & after GST**
- Calculate the selling price of an item after mark-up/discount
Solving percentage problems involving mark-up, discount & GST
- Understand the concept of mark-up, discount & GST\
- Calculate the mark-up/discounted amount of an item
- Calculate prices before & after GST
- Calculate the selling price of an item after mark-up/discount
Solving percentage problems involving mark-up, discount & GST
- Understand the concept of mark-up, discount & GST
- Calculate the mark-up/discounted amount of an item
- Calculate prices before & after GST
- Calculate the selling price of an item after mark-up/discount
9 19/03/2024 Revision Revision Portfolio
10 26/03/2024 Portfolio catch up Catch up/Maths skill Catch up/Maths skill