Grade 10 Applied Exam Topic Areas

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Grade 10 Applied Exam Topic Areas

• Gary Greer

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Chapter 1- Functions

• Must be able to read, understand and create
  graphs
• Use a table of values

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Chapter 2 Linear Equations

• Use and understand the equation y mx b
• Use and understand the equation
• y m(x p) q
• Understand
• Point slope form
• Slope y-intercept form
• Standard form

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Chapter 2 Linear Equations

• Determine the equation of a line from
• A slope and y-intercept
• A slope and a point
• Two points
• Use linear equations in word questions
• Use piecewise linear relationships

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Chapter 3 Linear Systems

• Find the intersection of 2 linear functions
• Understand what the intersection means
• Solve and check linear equations using
• Elimination
• Substitution
• Solve linear systems in word problems

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Chapter 4 - Proportions

• Use proportional reasoning to solve problems
  involving
• Scale drawings
• Percents
• Relationships like price and mass
• Conversions (like grams to kilograms)
• Similar triangles

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Chapter 5 - Triangles

• Solve similar triangles
• Use Pythagoras theorem
• Use similar triangles in word problems
• Use trigonometry to solve triangles
• Use trigonometry to solve word problems and
  problems involving two triangles

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Chapter 6 Quadratic Equations

• Graph quadratic equations using a table of values
• Use the step pattern to recognize whether a
  function is a quadratic equation
• Understand how changes in the equation y ax²
  bx c change the appearance of the graph of
  the function (ex what happens when you increase
  a?)

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Chapter 7 Quadratic Algebra

• Be able to use the distributive law and FOIL to
  multiply monomials and binomials
• Be able to perform common factoring
• Be able to perform trinomial factoring

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Chapter 8 Analysing Quadratics

• Be able to graph equations in the form y
  a(x p)² - q
• Be able to predict the changes in the graph from
  changing the values of a, p and q
• Be able to use quadratic equations in word
  problems

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Exam Review Questions

• Functions Review
• Page 47 1, 2, 3, 5
• Linear Equations Review
• Page 108 2, 5, 7, 8, 9, 10, 11, 12Linear
  Systems Review
• Page 148 1, 2, 4, 6, 7
• Proportional Reasoning
• Page 211 1, 2, 3, 6, 7, 10, 16

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Exam Review Questions

• Similar Triangles Trigonometry
• Page 285 1, 3, 4, 5, 6, 7, 11, 12, 15
• Quadratic Equations
• Page 342 6, 7, 8, 14
• Quadratic Equations
• Page 391 1, 2, 3, 6, 7
• Quadratic Equations
• Page 436 2,3,4,5,6,10