Course Snapshot for MAT156 - Integrated Math II

Module 1 Learning Outcomes

1. Use principles of probability to determine probabilities in simple cases and multistage experiments.
2. Apply multiplication to count the total number of outcomes and probabilities, including those of multistage experiments and cases where the outcome at one stage depends on the outcome at previous stages.
3. Calculate an expected amount of earnings when probabilities are involved.
4. Use fraction arithmetic to determine certain probabilities, including the odds in favor of an event, and explain why the method of calculation makes sense.

Module 2 Learning Outcomes

Mapped to Course Competencies (above)

1. Formulate statistical questions, gather data, and use samples to make predictions.
2. Make data displays, and formulate and answer questions at the three levels of graph reading.
3. Recognize erroneous or misleading data displays. Use mean, median, and mode to solve problems.
4. Create data sets with different means and medians.
5. Discuss errors commonly made with mean and median.
6. Summarize, describe, and compare data distributions.
7. Make box plots and use box plots to discuss and compare data sets.
8. Determine the mean and mean absolute deviation (MAD) of a given set of data.
9. Use means and MADs to discuss and compare data sets.
10. Solve problems using facts about points, lines, and planes.
11. Use informal and formal methods to show that the sum of the angles in a triangle is 180º.
12. Apply facts about angles produced by configurations (using parallel and perpendicular lines) to find angles.
13. Solve problems using circles and spheres.
14. Construct geometric figures using a compass and folding and cutting paper.

Module 3 Learning Outcomes

Mapped to Course Competencies (above)

1. Apply proper notation for units of area and volume (e.g., square centimeters, cm2).
2. Explain how the metric system uses prefixes, and state the meaning of the common metric prefixes: kilo-, hector-, deka-, deci-, centi-, and milli-.
3. Describe how capacity, weight (mass), and volume are linked in the metric system.
4. Describe one-dimensional, two-dimensional, and three-dimensional parts or aspects of the object, and compare objects with respect to their attributes.
5. Explain how a reported measurement conveys how precisely the measurement is known.
6. Convert one unit of measurement to another.
7. Determine the area of a triangle in various ways.
8. Use the area formulas for triangles, parallelograms, and circles to solve problems.
9. Use strategies learned in class to approximate areas of irregular shapes.
10. Contrast and relate the perimeter and area of shapes.
11. State and prove the Pythagorean theorem; use the Pythagorean theorem to solve problems.

Module 4 Learning Outcomes

Mapped to Course Competencies (above)

1. Describe polyhedra and other solid shapes, and distinguish them from two-dimensional shapes.
2. Determine the surface area of prisms, cylinders, pyramids, and cones.
3. Apply the volume formulas for prisms, cylinders, pyramids, cones, and spheres to determine volume and solve problems.

Module 5 Learning Outcomes

Mapped to Course Competencies (above)

1. Determine the location of a shape after a translation, a reflection, or a rotation is applied.
2. Determine the symmetries of a given shape or design.
3. Create designs that have specific symmetries, including tessellations.
4. Explain what congruence means, and describe and use the SSS, ASA, and SAS criteria for congruence.
5. Using a straight-edge and compass, construct parallel lines, angle bisectors, and perpendicular bisectors.
6. Construct a regular polygon inscribed in a circle.
7. Use scale factor and other methods to solve problems about similar shapes.
8. Use similar shapes to solve problems.
9. Solve problems by applying the way that areas and volumes scale in similar objects.