Mathematics I

Upon successful completion of this course, students will be able to:

Operations with Rational Numbers

• write fractions as decimals and decimals as fractions;
• add, subtract, multiply, divide, and simplify rational numbers;
• use order of operations;
• graph rational numbers on the number line;
• define absolute value;

Measurement

• 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;
• use proportional reasoning for conversions;

Perimeter, Area, and Volume

• find perimeters of triangles, squares, rectangles, parallelograms, trapezoids, circles, and composite figures using formulas;
• find areas of the above shapes using formulas;
• find the surface areas of cubes, rectangular solids, right cylinders, spheres, and composite solids using formulas;
• find the volumes of cubes, rectangular solids, right cylinders and cones, spheres, and composite solids using formulas;
• distinguish between concepts of perimeter and area and their respective units;

Ratio, Proportion and Percent

• 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 ratio and proportion to solve problems involving similar triangles;
• use ratio and proportion to solve problems including:
• finding percent when part and whole are known;
• finding part when percent and whole are known;
• finding whole when part and percent are known;

Algebra

• explain the use of variables;
• evaluate algebraic expressions using substitution;
• combine like terms and remove parentheses;
• solve first degree equations in one variable;
• translate a problem into an equation;
• use equations to solve problems;
• solve simple formulas for a given variable;
• use formulas to solve problems;

Linear Equations and Graphing

• draw a Cartesian co-ordinate system;
• plot and name points in a Cartesian co-ordinate system;
• given an equation in two variables:
• determine if an ordered pair is a solution;
• find ordered pairs which are solutions;
• graph equations of the form x = a and y = b;
• define slope and relate to grade and pitch;
• graph linear equations using
• slope and y-intercept;
• two intercepts;
• a table of values;
• find x- and y-intercepts;
• determine the equation of a line, y = mx + b, given
• its graph;
• its slope and a point on the line;
• two points on the line;
• solve problems using graphs of linear equations;

Powers, Roots, and Scientific Notation

• read and write numbers expressed as powers;
• evaluate powers with integral exponents;
• apply laws of exponents to simplify expressions;
• express numbers using scientific notation;
• convert between scientific and standard notation;
• determine the square root of a perfect square;
• express a square root as a mixed radical in simplest form (numerical radicands only);
• approximate square roots of real numbers using a calculator;

Polynomials

• distinguish between monomials, binomials, trinomials, and other polynomials in one variable only;
• apply the laws of exponents to variable expressions with integral exponents;
• evaluate polynomials by substitution;
• add, subtract, and multiply polynomials in one variable;
• factor polynomials by removing the largest common factor;
• factor binomials of the form a²x² – b²y²;
• factor trinomials of the form ax² + bx + c with a = 1 ONLY;
• divide a polynomial by a monomial;

Trigonometry

• name parts of a triangle;
• find missing side of a right triangle using the Pythagorean Theorem;
• find the measure of an unknown side or angle of a right triangle using sine, cosine, or tangent ratios;
• solve problems using right angle trigonometry.

MATU 0310 meets the required outcomes for ABE Mathematics: Intermediated Level - Algebraic in the BC ABE Articulation Handbook 2023/2024 Edition.