Mathematics I

Upon completion of this course students will be able to:

1. Identify, describe, and apply the basic operations and order of operations to the rational numbers:

1.1. Estimate answers
1.2. Write fractions as decimals and decimals as fractions
1.3. Add, subtract, multiply, and divide rational numbers
1.4. Use order of operations
1.5. Graph rational numbers on the number line
1.6. Define absolute value

2. Use geometric formulas to calculate perimeter, area, and volume:

2.1. Find perimeters, areas, and surface areas of cubes, rectangular solids, right cylinders and cones, spheres, and composite solids using formulas
2.2. Find the volumes of cubes, rectangular solids, right cylinders and cones, spheres, and composite solids using formulas
2.3. Distinguish between the concepts of perimeter and area and their respective units

3. Identify, calculate and apply ratios, proportion and percentages to geometric figures and word problems:

3.1. Read, write, interpret, and compare ratios
3.2. Read, write, and identify proportions and use them to solve problems
3.3. Use ratio and proportion to interpret and make scale drawings
3.4. Use ratio and proportion to solve problems involving similar triangles
3.5. Use ratios and proportions to solve problems involving:

3.5.1. Finding percent when part and whole are known
3.5.2. Finding part when percent and whole are known
3.5.3. Finding whole when part and percent are known

3.6. Use proportional reasoning for conversions between units of measure
3.7. Convert between and within metric and Imperial units using tables and/or calculators

4. Simplify algebraic expressions and solve first-degree equations and formulas: 

4.1. Explain the use of variables
4.2. Evaluate algebraic expressions using substitution
4.3. Combine like terms and remove parentheses
4.4. Solve first degree equations in one variable
4.5. Translate a problem into an equation
4.6. Use equations to solve problems
4.7. Solve simple formulas for one variable
4.8. Use formulas to solve problems 

5. Graph linear equations with two variables using multiple techniques and solve related problems:

5.1. Draw a Cartesian co-ordinate system
5.2. Plot and name points in a Cartesian co-ordinate system
5.3. Given an equation in two variables:

5.3.1. Determine if an ordered pair is a solution
5.3.2. Find ordered pairs which are solutions

5.4. Graph equations of the form x=a and y=b
5.5. Graph linear equations using:

5.5.1. Slope and y-intercept
5.5.2. Two intercepts
5.5.3. A table of values

5.6. Relate slope to grade and pitch
5.7. Find x- and y-intercepts
5.8. Determine the equation of a line, y=mx+b, given
5.8.1. Its graph
5.8.2. Its slope and a point on the line
5.8.3. Two points on the line
5.9. Solve problems using graphs of linear equations

6. Use, evaluate and solve problems involving integer exponents, roots and formulas:

6.1. Read and write numbers expressed as powers
6.2. Evaluate powers with integer exponents
6.3. Apply laws of exponents to simplify expressions
6.4. Express numbers using scientific notation
6.5. Convert between scientific and standard notation
6.6. Determine the square root of a perfect square
6.7. Express a square root as a mixed radical in simplest form (numerical radicals only)
6.8. Approximate square roots of real numbers using a calculator

7. Identify, describe, classify, evaluate, factor and perform operations and order of operations on polynomials:

7.1. Distinguish between monomials, binomials, trinomials and other polynomials (in one variable only)
7.2. Apply the laws of exponents to variable expressions with integral exponents
7.3. Evaluate polynomials by substitution
7.4. Add, subtract, and multiply polynomials in one variable
7.5. Factor polynomials by removing the largest common factor
7.6. Factor binomials of the form a²x²-b²y²
7.7. Factor trinomials of the form ax2+bx+c with a =1 only
7.8. Divide a polynomial by a monomial

8. Solve problems using right angle trigonometry:

8.1. Name the parts of a triangle
8.2. Find the missing side of a right triangle using Pythagorean Theorem
8.3. Find the measure of an unknown side or angle of a right triangle using sine, cosine, or tangent ratios
8.4. Solve problems using right angle trigonometry

To see details on these topics, refer to the (2016) ABE Articulation Handbook (Mathematics: Intermediate Level) located at: http://www.aved.gov.bc.ca/abe/

Additionally, a student who successfully completes the course will have been given opportunities to learn and demonstrate Essential Skills at an appropriate level such as: Creative thinking and problem solving skills, Oral skills, Interpersonal skills, Teamwork and leadership skills, Personal management and entrepreneurial skills, Writing skills, Reading & Information skills, Visual Literacy, Mathematical skills, Intercultural skills, Technological skills, Citizenship and global perspective.