New topics (not on previous exams):

Ratios, including:

• converting a description from a ratio form to a fraction form

• solving known sum and difference problems using a bar diagram

• solving problems where the ratios and amounts change over time

More ratio practice; solutions

Percents, using both algebraic and 100-grid solution strategies (see practice problems with solutions for examples)

Describing data, including:

• knowing appropriate graphs for category data and numerical/measurement data.

  • bar graphs and picture graphs are good for categorical data
  • dot plots, histograms and boxplots are all good for numerical/measurement data. All numerical/measurement data should be graphed on some kind of a number line (histograms, boxplots and dot plots are all made on number lines)
• finding measures of central tendency (averages) and spread (deviation), and knowing which to compare.
  • know how to find the mean and median (averages) and quartiles. Know how to find the interquartile range and the mean absolute deviation (spread). If the data is approximately symmetric in easy group being compared, then the mean average deviation is helpful. If any of the data sets are not symmetric, start by looking at the box-plots and interquartile range.
• comparing sets using data represented in a graphical form with average and deviation information included.
  • know how to compare the size of the groups (comparing averages using a boxplot or similar)
  • know how to compare the variation between groups (comparing IQR or MAD).

Data practice and solutions

Finding and representing probabilities using area and tree diagrams. Practice, answers

For previous topics, study your old exams and quizzes, keeping in mind that I will be looking for similar problems that may not have been included last time. I am intending to put a problem on the final exam where you will sketch a net for a pyramid or prism, given the base.

Calculators will not be allowed on the part of the test that assesses your knowledge of fractions, and will be allowed for the sections on measurement, data and probability.

You should expect at least one question about multiplication of fractions and/or mixed numbers. More fraction practice. Video answers to: problem 1 (represent a fraction), problem 2 (find a common denominator), problem 3 (explain fraction multiplication), problem 4 (multiplication and division word problems), problem 5 (identify fractions from a rectangular diagram). Just the visuals of the answers.