Page content follows

Learning activities by math concept

Grades 4 - 8

• Age: different units of time and estimation
  • Just how old are you?
• Bar graphs
  • What a Zoo!
  • You are what you eat
  • Circle and bar graphs
  • Canada recycles, do you?
• Bias: its effects on survey results
  • Bias or no bias?
• Circle graphs, pie charts
  • Circle and bar graphs
  • Travel to school
• Comparing data and drawing conclusions
  • How weird is our class?
  • Canada recycles, do you?
• Conclusions you can or cannot make from a survey
  • Survey says? Who says?
• Fractions, ratios, measurement
  • The Vitruvian theory – does it apply to you?
• Investigating a question or hypothesis, use of graphs
  • You are the researcher!
  • The Vitruvian theory – does it apply to you?
• Mean, median and mode
  • How many people live in a Canadian household?
  • Are you a “modal” student?
• Percentages, estimation and forecasting
  • How tall will you be?
• Scatter plots
  • The Vitruvian theory – does it apply to you?
• Stem and leaf plots
  • Travel to school

Grades 9 - 12

Analyzing data

• Comparing two datasets on a phenomenon using frequency tables and graphs; identifying variables that influence the phenomenon
  • Bullying: studying it to curb it
• Examining a hypothesis by comparing data from two groups of respondents; Histograms, quartiles, standard deviations
  • Math = GAMES?
• Analyzing Canadian data on recycling and household environmental responsibility
  • Recycling in Canada
• Analyzing a time-use dataset
  • Where does the time go?
• The effect of hidden variables on the analysis of different hypotheses; Outliers, maximum & minimum values, range, average, significant difference, contingency table, population, frequencies, anthropometric variable
  • Body and Mind
• Investigating a hypothesis
  • The Vitruvian theory – does it apply to you?
• Measures of central tendency; Frequency tables and graphs; Extrapolations
  • Worksheets for analysing class data – Activities 1 & 2

Exploring relationships between variables

• Scatter plots and lines of best fit; plotted manually
  • Do you have big feet?
  • Recycling in Canada
  • The Vitruvian theory – does it apply to you?
  • Worksheets for analysing class data – Activity 3
• Scatter plots and lines of best fit created manually, then using technology;
  Line of best fit; median-median line method; Least squares regression method
  • Talking feet
• Modelling data with linear functions using analytical software
  • Exploring linear functions
• How controlled variables and size of the sample affect whether or not a relationship exists between two variables
  • Relationships between variables

Sampling

1. Variations in samples

• Sample, population, mean, standard deviation, standard error of the mean
• Histograms and frequency polygons
• sample sizes

2. Confidence intervals

• normal distribution, central limit theorem
  • Investigating sampling

• Sample size: choosing enough cases to effectively compare different groups.
  • Data management activities using analytical software:
    The effect of sample size on data analysis