MATH 10 Common
COURSE OUTLINE
Textbook: Foundations and Pre-calculus Pearson + Handouts Provided
Course Work = 70%
Final Exam = 30%
1. Measurement
11 classes
Linear Measurement
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the Metric System (SI) of measurement – mm, cm, m, km
the Imperial System of Measurement – inch, foot, yard, mile
develop estimation and measurement strategies for linear measurement
compare SI and imperial units
convert between and within SI and Imperial units of measure
solve linear measurement problems
• with instruments such as rulers, calipers or tape measures.
• that involve the conversion of units
Volume and Surface Area of 3-D Objects
• calculate the volume and surface area of
• prisms and cylinders
• pyramids and cones
• spheres
• describe the relationship between the volumes of prisms and pyramids with
the same base and height
• sketch diagrams to represent problems involving surface area or volume.
• determine an unknown dimension given the object’s surface area/volume and
the other dimensions.
• calculate surface area or volume of a composite 3-D object.
2. Polynomials
15 classes
Review of Number Concepts
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definitions and terminology related to factors and multiples
prime and composite numbers
• prime factors of a whole number
greatest common factor (GCF)
• least common multiple (LCM)
solve problems that involve prime factors, GCF, and LCM
Polynomial Review
• definitions and terminology related to polynomials
• adding and subtracting polynomials
• multiplying and dividing a monomial with a polynomial
Mutliplying Polynomials – concretely, pictorially, symbolically
• binomial × binomial
• polynomial × polynomial
Factoring Polynomials – concretely, pictorially, symbolically
• GCF factoring of polynomials
• factoring trinomials: a = 1, a ≠ 1, perfect square trinomials
• difference of squares factoring
LTCHS M10C Course Outline
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3. Exponents
and Radicals
13 classes
Perfect Squares and Perfect Cubes
• determine whether a whole number is a perfect square, a perfect cube or neither
• determine the square root of a perfect square
• determine the cube root of a perfect cube
• solve problems involving square roots or cube roots.
Rational and Irrational Numbers – The Real Number System
• definitions and terminology related to rational and irrational numbers
• classify numbers as rational or irrational
• determine the approximate value of a given irrational number
• order irrational numbers and approximate their locations on a number line
• classify numbers as natural, whole, integer, rational, or irrational
Working With Radicals
• definitions and terminology related to radicals
• convert between mixed and entire radicals
• use rational exponents
Working With Powers
• definitions and terminology related to powers
• work with negative exponents
• work with rational exponents - convert between radical form and powers
• understand and apply the exponent laws – rational and variable bases
• solve problems involving exponent laws and/or radicals
4. Relations and
Functions
8 classes
Understanding Relations and Functions
• definitions, terminology and properties related to relations and functions
• interpret the relationships among data, graphs and situations
• distinguish between discrete and continuous data on a graph
• determine the domain and range of functions and relations – graph, ordered
pairs, table of values
• graph with or without technology a set of data and state the restrictions on the
domain and range
• describe a possible situation for a graph and sketch a graph for a particular
situation
• understand, differentiate and classify functions and non-functions
• use function notation to evaluate functions
• determine the related range/domain value given a
domain/range value
LTCHS M10C Course Outline
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5. Linear Relations
13 classes
Properties of Linear Relations
• describe and represent linear relations in various ways
• identify independent and dependent variables
• recognize what represents a linear relation given the various forms
Slope of a Line
• definitions and terminology related to slope
• understand and apply the formula for determining slope
• positive and negative slopes
• parallel and perpendicular slopes
• slopes of horizontal and vertical lines
Characterisitcs of Linear Data
• determine the x- and y-intercepts of a line
• determine and recognize the slope and y-intercept of a line
• solve problems involving the characteristics of a line
Equations of Lines
• slope-intercept form (y = mx + b) of a line
• general form (Ax + By + C = 0) of a line
• slope-point form (y – y1 = m(x – x1) ) of a line
• graph linear relations given the various forms – with and without technology
• determine the equation of a line given different information about the line
• graph and solve problems involving the equation of a linear relation
6. Systems of
Equations
10 classes
7. Trigonometry
10 classes
Solving Systems of Equations
• solve a system of equations graphically – with and without technology
• solve a system of equations algebraically – substitution and elimination
• verify the solution to a system of equations graphically and algebraically
• recognize and understand when a system of equations has one, infinite or no
solution
• solve problems using a system of equations
Right Triangle Terminology
• definitions and terminology related to right triangles
• labelling right triangles
Review the Pythagorean Theorem
• solve for the missing side of a right triangle
• solve problems involving the Pythagorean Theorem
The Primary Trig Ratios
• definitions and terminology related to the primary trig ratios
• tangent ratio
• sine ratio
• cosine ratio
• use a calculator to solve for missing information in a right triangle
• solve right triangles
• solve problems applying the primary trig ratios and/or the Pythagorean
Theorem
• solve problems involving more than one right triangle
LTCHS M10C Course Outline
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