Hi,
Here is what I consider the traditional sequence for algebra based introductory statistics class:
Introduction to Statistics to Motivate the Students
Either Exploratory Data Analysis and then How to collect data or vice versa
Exploratory Data Analysis would include (1) types of graphs, (2) types of measures (center, spread) or proportion, and (3) simple relationships (a) between two quantitative (regression) (b) between two categorical (two-way tables), and (c) between an independent (explanatory) categorical variable and a dependent (response) quantitative variable (e.g. sex versus height)
How to collect data would include sampling / surveys and experiments
Probability – how much depends upon client disciplines;
Move into sampling distribution either with mean or proportion first
Typically, if you do mean first, you have to cover the situation with sigma (population st. dev.) known then the t-test. Next cover two independent sample t-test, and the dependent t-test. Next is the proportion, one and two. Here is an alternative (1) mean, z-score, population st. dev. known, then (2 & 3) proportion, one and two sample, then (4 & 5) t-test, mean, one sample, two independent, and two dependent samples.
If you do proportion first, then you can usually skip the z-test situation.
Depending on your time, hypothesis testing regression, one-way ANOVA, chi-square.
I hope this helps.
Marjorie