Mathematics
Mathematics: Intermediate Level—Developmental
Goal Statement
The goal of Intermediate Mathematics is to enable adult learners to acquire mathematical knowledge, skills, and strategies needed to enter appropriate higher level courses or to satisfy personal or career goals.
I. Core Learning Outcomes
1. Estimating Skills/Calculator Use
It is expected that learners will be able to:
- estimate answers to problems
- use a scientific calculator to calculate and solve problems involving adding, subtracting, multiplying and dividing whole numbers, fractions and decimals
- check that answers and solutions to problems are reasonable in the context of the given question
2. Measurement
It is expected that learners will be able to:
- use the common metric units for temperature, length, area, volume/capacity, and mass
- use the common Imperial or US customary units for temperature, length, area, volume/capacity, and force
- convert between and within metric and Imperial or US customary units using tables and/or calculators
- take and read measurements with common measuring tools (e.g. thermometer, ruler, measuring tape, triple beam balance, bathroom scale, stop watch, Vernier caliper, micrometer) (optional)
- describe and apply precision, accuracy and tolerance (optional)
- estimate in metric and Imperial or US customary units of measurement (optional)
3. Perimeter, Area, and Volume
It is expected that learners will be able to:
- find perimeters of triangles, squares, rectangles, parallelograms, trapezoids, circles and composite figures by measuring and using formulas
- find areas of the above shapes by measuring and using formulas
- find the surface areas of cubes, rectangular solids, cylinders, cones, spheres, and composite solids by using formulas
- find the volumes of cubes, rectangular solids, cylinders, cones, spheres, and composite solids by using formulas
- distinguish between concepts of perimeter and area and their respective units
4. Ratio and Proportion
It is expected that learners will be able to:
- read, write, interpret, and compare ratios
- read, write and identify proportions and use them to solve problems
- use ratio and proportion to interpret and make scale drawings
- use proportions to solve problems involving similar triangles
5. Percent
It is expected that learners will be able to:
- use ratios and proportions to solve problems involving:
- finding the percent when the part and whole are known
- finding the part when the percent and whole are known
- finding the whole when the part and percent are known
6. Geometry
It is expected that learners will be able to:
- name and draw points, lines, rays, segments, and angles
- name and draw triangles, quadrilaterals, other common polygons, and circles
- construct with a compass and straight edge:
- the perpendicular bisector of a line segment
- the bisector of an angle
- a copy of an angle (optional)
- parallel lines (optional)
- 30°, 45°, and 60° angles (optional)
- classify and dist