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ExamBank Chapter and Course Practice Questions
MATH 10 FOUNDATIONS & PRE-CALCULUS
COURSE OVERVIEW
Please Note: This course requires the completion of a Provincially Certified Final Exam worth 20% of the final course mark!
Practice Final Exam Questions
Textbook: Foundations & Pre-calculus 10, Pearson Canada 2010.
ebook: available online after registering access code found inside textbook.
Unit 1 – Measurement
Prescribed Learning Outcomes:
*Solve problems that involve linear measurement, using:
• SI and imperial units of measure
• estimation strategies
• measurement strategies.
*Apply proportional reasoning to problems that involve conversions between SI and imperial units of measure.
*Solve problems, using SI and imperial units, that involve the surface area and volume of 3-D objects, including:
• right cones, right cylinders, right prisms, right pyramids, and spheres.
*Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems that involve right triangles.
Please Note: This course requires the completion of a Provincially Certified Final Exam worth 20% of the final course mark!
Practice Final Exam Questions
Textbook: Foundations & Pre-calculus 10, Pearson Canada 2010.
ebook: available online after registering access code found inside textbook.
Unit 1 – Measurement
Prescribed Learning Outcomes:
*Solve problems that involve linear measurement, using:
• SI and imperial units of measure
• estimation strategies
• measurement strategies.
*Apply proportional reasoning to problems that involve conversions between SI and imperial units of measure.
*Solve problems, using SI and imperial units, that involve the surface area and volume of 3-D objects, including:
• right cones, right cylinders, right prisms, right pyramids, and spheres.
*Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems that involve right triangles.
Chapter 1: Measurement (Imperial Measures of Length, Measuring Length & Distance, Relating SI and Imperial Units, Surface Areas & Volume of Right Pyramids, Right Cones & Spheres, Solving Problems Involving Objects)
Ch.1 Area of Compound Shapes Online Practice
Ch.1 Area between 2 shapes Online Practice
Ch.1 Unit Conversion - Metric Online Practice
Ch.1 Unit Conversion - Metric Puzzle
Ch.1 Unit Conversions - Imperial Online Practice
Sec1.1 - Imperial Measures of Length (Convert Imperial Measures, Convert Mixed Imperial Measures)Metric Conversion of Lengths, Convert between Metric & Imperial)
Sec1.2 - Measuring Length & Distance
Sec1.4 - Surface Area of Right Pyramids & Cones
Sec1.5 - Volume of Right Pyramids & Right Cones
Sec1.6 - Surface Area & Volume of a Sphere
Surface Area of Prisms & Cylinders, Volume of Prisms & Cylinders
SURFACE AREA & VOLUME REVIEW
Sec1.7 - Solving Problems Involving Objects
Ch.1 Area of Compound Shapes Online Practice
Ch.1 Area between 2 shapes Online Practice
Ch.1 Unit Conversion - Metric Online Practice
Ch.1 Unit Conversion - Metric Puzzle
Ch.1 Unit Conversions - Imperial Online Practice
Sec1.1 - Imperial Measures of Length (Convert Imperial Measures, Convert Mixed Imperial Measures)Metric Conversion of Lengths, Convert between Metric & Imperial)
Sec1.2 - Measuring Length & Distance
Sec1.4 - Surface Area of Right Pyramids & Cones
Sec1.5 - Volume of Right Pyramids & Right Cones
Sec1.6 - Surface Area & Volume of a Sphere
Surface Area of Prisms & Cylinders, Volume of Prisms & Cylinders
SURFACE AREA & VOLUME REVIEW
Sec1.7 - Solving Problems Involving Objects
Chapter 2: Trigonometry (Tangent Ratio, Using the Tangent Ratio to Calculate Lengths, Measuring an Inaccessible Height, Sine & Cosine Ratios, Using the Sine & Cosine Ratios to Calculate Lengths, Applying the Trigonometric Ratios, Solving Problems involving more than one right triangle)
IXL PRACTICE
Ch.2 Trigonometry Ratios
Ch.2 Trigonometry Advanced Ratios
Ch.2 Trigonometry Solve for Missing Angle
Ch.2 Trigonometry Solve for Missing Side
Ch.2 Trigonometry Online Practice
Solve a Right Triangle
Sec2.1 - The Tangent Ratio
Sec2.2 - Using the Tangent Ratio to Calculate Lengths
Sec2.4 - The Sine & Cosine Ratios
Sec2.5 - Using the Sine & Cosine Ratios to Calculate Lengths
Sec2.6 - Applying the Trigonometric Ratios
Sec2.7 - Solving Problems involving more than 1 Triangle
IXL PRACTICE
Ch.2 Trigonometry Ratios
Ch.2 Trigonometry Advanced Ratios
Ch.2 Trigonometry Solve for Missing Angle
Ch.2 Trigonometry Solve for Missing Side
Ch.2 Trigonometry Online Practice
Solve a Right Triangle
Sec2.1 - The Tangent Ratio
Sec2.2 - Using the Tangent Ratio to Calculate Lengths
Sec2.4 - The Sine & Cosine Ratios
Sec2.5 - Using the Sine & Cosine Ratios to Calculate Lengths
Sec2.6 - Applying the Trigonometric Ratios
Sec2.7 - Solving Problems involving more than 1 Triangle
Unit 2 - Algebra & Number
Prescribed Learning Outcomes:
*Demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomials and trinomials), concretely, pictorially and symbolically
*Demonstrate an understanding of irrational numbers by:
• representing, identifying and simplifying irrational numbers
• ordering irrational numbers.
*Demonstrate an understanding of powers with integral and rational exponents.
Prescribed Learning Outcomes:
*Demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomials and trinomials), concretely, pictorially and symbolically
*Demonstrate an understanding of irrational numbers by:
• representing, identifying and simplifying irrational numbers
• ordering irrational numbers.
*Demonstrate an understanding of powers with integral and rational exponents.
Chapter 3: Factors & Products (Factors & Multiples of Whole Numbers, Perfect Squares, Perfect Cubes, & their Roots, Common Factors of a Polynomial, Modelling Trinomials as Binomial Products, Multiplying Polynomials, Factoring Special Polynomials)
Ch.3 All About Polynomials Practice
Ch.3 Polynomial Practice
Sec3.1 - Factors & Multiples of Whole Numbers
Sec3.2 - Perfect Squares, Perfect Cubes, & Their Roots (Square Roots, Cube Roots, GCF and LCM word problems)
Sec3.3 - Common Factors of a Polynomial (GCF of monomials, factor a polynomial)
Sec3.5 - Polynomials of the Form x2 + bx + c (Factoring quadratics)
Sec3.6 - Polynomials of the Form ax2 + bx + c (Factoring quadratics)
Sec3.7 - Multiplying Polynomials (O6. Multiply a polynomial by a monomial, Dividing Polynomials)
O8. Multiplying two binomials
O7. Multiplying two polynomials using algebra tiles
Sec3.8 - Factoring Special Polynomials O9. Multiply two Binomials: special cases
Sec3.8 - Factoring Special Polynomials P5. Factor quadratics: special cases
Ch.3 All About Polynomials Practice
Ch.3 Polynomial Practice
Sec3.1 - Factors & Multiples of Whole Numbers
Sec3.2 - Perfect Squares, Perfect Cubes, & Their Roots (Square Roots, Cube Roots, GCF and LCM word problems)
Sec3.3 - Common Factors of a Polynomial (GCF of monomials, factor a polynomial)
Sec3.5 - Polynomials of the Form x2 + bx + c (Factoring quadratics)
Sec3.6 - Polynomials of the Form ax2 + bx + c (Factoring quadratics)
Sec3.7 - Multiplying Polynomials (O6. Multiply a polynomial by a monomial, Dividing Polynomials)
O8. Multiplying two binomials
O7. Multiplying two polynomials using algebra tiles
Sec3.8 - Factoring Special Polynomials O9. Multiply two Binomials: special cases
Sec3.8 - Factoring Special Polynomials P5. Factor quadratics: special cases
Chapter 4: Roots & Powers (Estimating Roots, Irrational Numbers, Mixed and Entire Radicals, Fractional Exponents & Radicals, Negative Exponents and Reciprocals, Applying the Exponent Laws)
Ch.4 Radicals Online Practice
Ch.4 Radicals Practice
Sec4.1 - Estimating Roots
Sec4.2 - Irrational Numbers (Identify Rational or Irrational, Compare & Order Rational Numbers)
Sec4.3 - Mixed & Entire Radicals (Simplify radical expressions, Multiply Radicals, add or subtract Radicals, Distributive Property for Radicals, Mixed Review for Radicals)
Sec4.4 - Fractional Exponents & Radicals (Multiply Rational exponents, Division Rational exponents, Power Rule with Rational exponents)
Sec4.5 - Negative Exponents & Reciprocals
Sec4.6 - Applying the Exponent Laws (Multiply & Divide Monomials, Powers of Monomials, Simplify expressions involving exponents, Simplify expressions involving Radical exponents I, Simplify expressions involving Radical exponents II))
Ch.4 Radicals Online Practice
Ch.4 Radicals Practice
Sec4.1 - Estimating Roots
Sec4.2 - Irrational Numbers (Identify Rational or Irrational, Compare & Order Rational Numbers)
Sec4.3 - Mixed & Entire Radicals (Simplify radical expressions, Multiply Radicals, add or subtract Radicals, Distributive Property for Radicals, Mixed Review for Radicals)
Sec4.4 - Fractional Exponents & Radicals (Multiply Rational exponents, Division Rational exponents, Power Rule with Rational exponents)
Sec4.5 - Negative Exponents & Reciprocals
Sec4.6 - Applying the Exponent Laws (Multiply & Divide Monomials, Powers of Monomials, Simplify expressions involving exponents, Simplify expressions involving Radical exponents I, Simplify expressions involving Radical exponents II))
Unit 3 - Relations & Functions
Prescribed Learning Outcomes:
*Demonstrate an understanding of relations and functions.
*Interpret and explain the relationships among data, graphs and situations.
*Demonstrate an understanding of slope with respect to:
• rise and run, line segments and lines, rate of change, parallel lines, and perpendicular lines.
*Describe and represent linear relations, using:
• words, ordered pairs, tables of values, graphs, and equations.
*Determine the characteristics of the graphs of linear relations, including the:
• intercepts, slope, domain, and range.
*Relate linear relations expressed in:
• slope–intercept form (y = mx + b), general form (Ax + By + C = 0), and slope–point form (y – y1 = m(x – x1)) to their graphs.
*Determine the equation of a linear relation, given:
• a graph, a point and the slope, two points, and a point and the equation of a parallel or perpendicular line to solve problems.
*Represent a linear function, using function notation.
*Solve problems that involve systems of linear equations in two variables, graphically and algebraically.
Prescribed Learning Outcomes:
*Demonstrate an understanding of relations and functions.
*Interpret and explain the relationships among data, graphs and situations.
*Demonstrate an understanding of slope with respect to:
• rise and run, line segments and lines, rate of change, parallel lines, and perpendicular lines.
*Describe and represent linear relations, using:
• words, ordered pairs, tables of values, graphs, and equations.
*Determine the characteristics of the graphs of linear relations, including the:
• intercepts, slope, domain, and range.
*Relate linear relations expressed in:
• slope–intercept form (y = mx + b), general form (Ax + By + C = 0), and slope–point form (y – y1 = m(x – x1)) to their graphs.
*Determine the equation of a linear relation, given:
• a graph, a point and the slope, two points, and a point and the equation of a parallel or perpendicular line to solve problems.
*Represent a linear function, using function notation.
*Solve problems that involve systems of linear equations in two variables, graphically and algebraically.
Chapter 5: Relations & Functions (Representing Relations, Properties of Functions, Interpreting & Sketching Graphs, Graphing Data, Graphs of Relations & Functions, Properties of Linear Relations, Interpreting Graphs of Linear Functions)
Writing Linear Equations Review Notes
Solving 2 Step Linear Equations: Who want to be a millionaire?
Sec5.1 - Representing Relations (Identify Domain & Range, Identify Functions, Vertical Line Test)
Sec5.2 - Properties of Functions
Sec5.3 - Interpreting & Sketching Graphs (Complete a Function Table, Evaluate a Function I, Evaluate a Function II)
Sec5.4 - Graphing Data (Graph a Function)
Sec5.5 - Graphs of Relations & Functions (Find points on a function graph)
Sec5.6 - Properties of Linear Relations
Sec5.7 - Interpreting Graphs of Linear Functions
Writing Linear Equations Review Notes
Solving 2 Step Linear Equations: Who want to be a millionaire?
Sec5.1 - Representing Relations (Identify Domain & Range, Identify Functions, Vertical Line Test)
Sec5.2 - Properties of Functions
Sec5.3 - Interpreting & Sketching Graphs (Complete a Function Table, Evaluate a Function I, Evaluate a Function II)
Sec5.4 - Graphing Data (Graph a Function)
Sec5.5 - Graphs of Relations & Functions (Find points on a function graph)
Sec5.6 - Properties of Linear Relations
Sec5.7 - Interpreting Graphs of Linear Functions
Chapter 6: Linear Functions (Slope of a Line, Slopes of Parallel & Perpendicular Lines, Investigating Graphs of Linear Function, Slope-Intercept Form of the Equation for a Linear Function, Slope-Point Form of the Equation for a Linear Function, General Form of the Equation for a Linear Relation)
Ch. 6 Slope-Intercept Form Basketball Game
Ch.6 Find the Slope and y-intercept Online Practice
Ch.6 Writing Slope-Point Form Online Practice
Ch.6 Writing Slope-Point Form Online Practice
Sec6.1 - Slope of a Line (slope from a graph, slope from 2 points)
Sec6.2 - Slopes of Parallel & Perpendicular Lines (write an equation for a parallel or perpendicular line)
Sec6.3 - Investigating Graphs of Linear Functions (Graphing Slope-Intercept Form)
Sec6.4 - Slope-Intercept Form (find slope & y-intercept, graph an equation, write an equation from a graph, write an equation)
Sec6.5 - Slope-Point Form (graph an equation, write an equation from a graph, write an equation)
Sec6.6 - General Form
Ch. 6 Slope-Intercept Form Basketball Game
Ch.6 Find the Slope and y-intercept Online Practice
Ch.6 Writing Slope-Point Form Online Practice
Ch.6 Writing Slope-Point Form Online Practice
Sec6.1 - Slope of a Line (slope from a graph, slope from 2 points)
Sec6.2 - Slopes of Parallel & Perpendicular Lines (write an equation for a parallel or perpendicular line)
Sec6.3 - Investigating Graphs of Linear Functions (Graphing Slope-Intercept Form)
Sec6.4 - Slope-Intercept Form (find slope & y-intercept, graph an equation, write an equation from a graph, write an equation)
Sec6.5 - Slope-Point Form (graph an equation, write an equation from a graph, write an equation)
Sec6.6 - General Form
Chapter 7: Systems of Linear Equations (Developing Systems of Linear Equations, Solving a System of Linear Equations Graphically, Using Graphing Technology to solve a system of linear equations, Using a Substitution Strategy to Solve a System of Linear Equations, Using Elimination Strategy to Solve a System of Linear Equations, Properties of Systems of Linear Equations)
Ch.7 Solving Linear Equations by Substitution Online Practice
Ch.7 Solving Linear Equations by Elimination Online Practice
Sec7.1 - Developing Systems of Linear Equations
Sec7.2 - Solving a System of Linear Equations Graphically (Determining Solution, Determining Solution by Graphing)
Sec7.3 - Using Graphing Technology to solve a system of Linear Equations (Find the number of solutions by graphing, without graphing)
Sec7.4 - Using a Substitution strategy to solve a system of Linear Equations
Sec7.5 - Using an Elimination strategy to solve a system of Linear Equations
Sec7.6 - Properties of systems of Linear Equations
Solve a system of equations by ANY METHOD
Ch.7 Solving Linear Equations by Substitution Online Practice
Ch.7 Solving Linear Equations by Elimination Online Practice
Sec7.1 - Developing Systems of Linear Equations
Sec7.2 - Solving a System of Linear Equations Graphically (Determining Solution, Determining Solution by Graphing)
Sec7.3 - Using Graphing Technology to solve a system of Linear Equations (Find the number of solutions by graphing, without graphing)
Sec7.4 - Using a Substitution strategy to solve a system of Linear Equations
Sec7.5 - Using an Elimination strategy to solve a system of Linear Equations
Sec7.6 - Properties of systems of Linear Equations
Solve a system of equations by ANY METHOD
Expectations:
1) Students arrive on time and come prepared to each class with textbook, workbook, pencils, paper, and calculator.
2) Students abide by the NO CELL PHONE school policy and leave these at home, in their locker, or in the classroom holding box. If a student is caught with a cell phone the first offense is to have it taken away for the remainder of the class. Second offense the cell phone will be given to administration for the remainder of the day. Third offense the cell phone must be picked up by a parent/guardian.
3) Students are expected to complete homework daily. Students should be spending at least 1-hour daily reviewing assignments in order to be successful in the course.
1) Students arrive on time and come prepared to each class with textbook, workbook, pencils, paper, and calculator.
2) Students abide by the NO CELL PHONE school policy and leave these at home, in their locker, or in the classroom holding box. If a student is caught with a cell phone the first offense is to have it taken away for the remainder of the class. Second offense the cell phone will be given to administration for the remainder of the day. Third offense the cell phone must be picked up by a parent/guardian.
3) Students are expected to complete homework daily. Students should be spending at least 1-hour daily reviewing assignments in order to be successful in the course.