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									       MPM2D: End of Term Course Review Using the
            Homework Help and OERB Sites

              General Instructions for Using these Resources

1. To use the Homework Help Resources

     a) Login to:   www.homeworkhelp@ilc.org


     b) Using the “Search for” box at the top type or copy and paste the title of
        the resource from the list of “Best Sessions”, “Listen & Learn” or
        “Interactive Tutorials”.




2. To use the OERB resources:

a)    Login to: http://resources.elearningontario.ca/

     Using    User id: kpdsbstudent Password: oerbs

b)   Select “I Agree” on the Terms and Conditions page.

c)   Double click on the Search button

d)   In the “Simple Search” box paste or type the ELO number including the
     ELO example: ELO1093650




e)   Some resources may open by double clicking on the title, but many
     resources should be downloaded first and then opened to function properly.
     Smartboard-notebook resources needed to be downloaded and then can
     be opened using the explore option in the Smartboard program.



3. Ministry (e-LO) course content often starts with a page of expectations.
   The content can be found by scrolling down to the bottom.
MPM2D: Course Review Package

               What are you                                              Resources
               expected to learn?
    Units        Key Learnings                 Homework Help                                    OERB
                     Focus                www.homeworkhelp@ilc.org               http://resources.elearningontario.ca/
                                                                                 User id: kpdsbstudent Pass: oerbs




1                    Pythagorean         Best Sessions:                         ELO1087860
Trigonometry          theorem                                                    Description : This learning object
                                                 Pythagorean Theorem:
of Right             Similar triangles           Solving for c
                                                                                 will provide an opportunity for
Triangle             Sin, Cos Tan                                               students to name the sides of right
                      Ratios                     Pythagorean's Theorem -        triangles according to an angle.
                     Applications                solving right triangles        They will solidify their
                                                                                 understanding by naming a variety
                                                 Pythagorean Theorem: solve     of right triangles to prepare for
                                                  for a or b                     working with the primary
                                                                                 trigonometric ratios
                                                 Similar Triangles
                                                 Similar Triangles:             ELO1098950
                                                  comparing sides and area       Description : Students will use this
                                                 Similar Triangles -            object to obtain an understanding of
                                                  Determining similarity with    identifying corresponding sides and
                                                  angles                         angles of two triangles. The
                                                 Similar Triangles: determine   information will be used to verify the
                                                  the value of each unknown      corresponding angles are equal and
                                                 Triangles: trigonometry        the corresponding sides are in
                                                  using tan                      proportion as well as to solve for
                                                 Trigonometry - SOH CAH         unknown sides in similar triangles
                                                  TOA
                                                 Trig Ratios - SOH CAH          ELO1128100
                                                  TOA                            Description : Entire Unit on
                                                 Angles of depression: Word     Similar Traingles
                                                  problem
                                                                                 ELO1128200
                                          Listen & Learn:                        Description : Entire unit on
                                                                                 Trigonometry
                                                 Pythagorean Theorem

                                          Interactive Tutorials:

                                                 Pythagorean Theorem
MPM2D: Course Review Package

                What are you                                           Resources
                expected to learn?
   Units          Key Learnings               Homework Help                                 OERB
                      Focus              www.homeworkhelp@ilc.org            http://resources.elearningontario.ca/
                                                                             User id: kpdsbstudent Pass: oerbs




2                     Sine law          Best Sessions:                      ELO1090620
Trigonometery         Cosine Law                                            Description : The user is required
of Acute              Problem Solving         Cosine Law or Sine Law?      to determine whether the sine law
                                                Which one should I use?      or cosine law should be used to
Angles
                                               Cosine Law: Find the         solve for a missing quantity in a
                                                missing angle                triangle. Developed for use in
                                                                             MCR3U, MBF3C and MPM2D.
                                               Cosine Law: Find the
                                                missing side                 ELO1098350
                                                                             Description : Students will use this
                                               Sine Law: In triangle PQR,
                                                                             object to review the trigonometric
                                                Q=62 degrees, PQ=9 cm,
                                                                             concepts and to consolidate their
                                                and PR=10 cm, find angle R
                                                                             understanding of the trigonometric
                                                                             calculations
                                                                             ELO1098500

                                                                             Description : The object will
                                                                             provide an opportunity for students
                                                                             to decide when to use the various
                                                                             trigonometric formulas. Initially the
                                                                             students will work with triangles that
                                                                             are provided but then they will
                                                                             expand to working with real life
                                                                             situations.

                                                                             ELO1128200
                                                                             Description : Entire unit on
                                                                             Trigonometry

                                                                              ELO1194980
                                                                             Description : This interactive
                                                                             learning object takes the form of a
                                                                             game where players review and
                                                                             practice the skill of selecting the
                                                                             proper trigonometric tool (sine law,
                                                                             cosine law or primary trig ratio) in
                                                                             solving for the missing side or angle
                                                                             in a triangle. Presented as a
                                                                             challenging world-wide adventure,
                                                                             players are then challenged to
                                                                             actually solve for the missing sides
                                                                             and angles of triangles using the
                                                                             appropriate method.
MPM2D: Course Review Package

           What are you                                                Resources
           expected to learn?
   Units     Key Learnings                  Homework Help                                      OERB
                 Focus                 www.homeworkhelp@ilc.org                 http://resources.elearningontario.ca/
                                                                                User id: kpdsbstudent Pass: oerbs




3 Linear         Graphing lines       Best Sessions:                           ELO1028330
Systems           using y = mx +b                                               Description : This resource can be
                 Graphing using              Determine the shortest           used to help students learn and
                  intercepts                   distance from the point          practice skills with perfect squares
                 Solving systems              D(5,4) to the line represented   in the form of trinomials.
                  of equations using           by 3x+5y-4=0 (AUDIO)
                  Substitution &              Substitution: Find the point     ELO1084080
                  Elimination                  of intersection                  Description : This resource allows
                                                                                the user to determine the missing
                                              Substitution: Solve a system     tiles needed to complete the image
                                               of equations y=2-3x and          of a perfect square. It allows the
                                               2x+3y=13                         user to determine the factors of a
                                                                                perfect square.
                                              Substitution: Find the point
                                               of intersection
                                                                                ELO1127900
                                                                                Description : The process of
                                              Word Problem using algebra
                                                                                expanding and simplifying
                                               to solve for age: The ages of
                                                                                algebraic expressions is explored
                                               Kirsten and Victor total 27
                                                                                using polynomial tiles
                                               years. When Victor's age
                                               plus twice Kirsten's age is
                                                                                ELO1028070
                                               43, what will their ages be?
                                                                                Description : This resource can be
                                              Intersection of lines: Use a     used to introduce students to linear
                                               table of values to find the      systems. Students learn how to set
                                               graphical intersection of        up a linear system from a problem
                                               these two lines.                 and solve.

                                              Linear Equations: Find an        ELO1028080
                                               equation for a line with a       Description : This resource can be
                                               slope 6, passing through (-      used to help students learn and
                                               1,4)                             practice linear functions with
                                                                                applications.
                                              Linear Equations: Write an
                                               equation of the line parallel    ELO1127250
                                               to 2x+y-2=0 and passing          Description : Linear Systems
                                               through the point (4,5)          entire review



                                       Interactive Tutorials:

                                              The XY-Plane

                                              Linear Relations

                                              Slope Calculation
MPM2D: Course Review Package

              What are you                                               Resources
              expected to learn?
   Units        Key Learnings                 Homework Help                                   OERB
                    Focus                www.homeworkhelp@ilc.org              http://resources.elearningontario.ca/
                                                                               User id: kpdsbstudent Pass: oerbs




4 Quadratic         Non linear          Best Sessions:                        ELO1320540
Relations            relations                                                 Description : This game can be
                    Graphing                   Parabola: definition          used with a SMART Board. The
                                 2
                     y = a(x –h) + k                                           object of the game is to draw the
                    Applications                                              parabola given in any of the
                    Intercept form: y                                         following forms: standard, factored
                     = (x – r)(x – s)                                          or vertex. Students must give the
                                                                               quadratic function in its right form
                                                                               from clues drawn from their team
                                                                               mates. Their team mate must only
                                                                               draw the parabola and the colour of
                                                                               the card indicates the form it must
                                                                               be given.

                                                                               ELO1318980
                                                                               Description : This resource is an
                                                                               investigation of quadratic functions.
                                                                               Students perform an experiment
                                                                               that relates time vs. distance
                                                                               traveled for a falling object. They
                                                                               collect data, produce a scatter plot,
                                                                               draw a curve of best fit and relate
                                                                               the shape of the graph to the
                                                                               physics equation that describes the
                                                                               motion.

5 Quadratic         Negative and zero   Best Sessions:                        ELO1324680
Expressions          exponents                                                 Description : Negative and Zero
                    Multiplying and            Algebra: expanding            Exponents handout
                     factoring                   algebraic expressions
                     polynomials                                               ELO1319100
                    Common                     Expand using distributive     Description : This is a Factoring
                                                 property: 2/3 (6x-9)          Game written in Flash (ActionScript)
                     Factoring Review
                    Factoring                                                 that can be run in Internet Explorer.
                      2                         Simplifying Polynomials -     It is best suited for MPM2D.
                     x + bx + c
                                                 2a(a+3a-6)+5a(4a-1)-
                    Factoring                   a(2a+3)
                        2
                     ax + bx + c
                    Factoring                                                 ELO1324620
                      2     2
                                                Factor: 5pqr-pqs-10pqt        Description : This is a two-part
                     x – y and                   (common factoring)
                     (x +/- y)
                               2                                               lesson for identifying the key parts
                                                                               of a quadratic relation. This lesson
                                                Factor: x^2-8x+16-4y^2
                                                                               should follow a graphing calculator
                                                 (multi-step)
                                                                               exploration of quadratic relations.
                                                Factoring and graphing y= -
                                                                               ELO1324640
                                                 x^2+2x+24
                                                                               Description : This is a SMART
                                                Factor: x^3 + 11x^2 + 10x     Board lesson that practices using
                                                 (common factoring)            distributive property to expand
                                                                               binomials and then expand the
                                                Factoring Difference of       factored form of quadratic
                                                 Squares with two variables    equations.
                                                Factor: h^2-100 (difference
                                                 of squares)                   ELO1332750
                                                Factoring Quadratics: How     Description : Students will review
                                                 to determine which form of    the steps to choosing a factoring
                                                 factoring to use.             strategy and practice identifying
                                                                               which strategy to choose using
                                                                               interactive activities
                                         Interactive Tutorials:

                                                Powers
MPM2D: Course Review Package

              What are you                                             Resources
              expected to learn?
   Units        Key Learnings                 Homework Help                                  OERB
                    Focus                www.homeworkhelp@ilc.org             http://resources.elearningontario.ca/
                                                                              User id: kpdsbstudent Pass: oerbs




6 Quadratic         Completing          Best Sessions:                       ELO1313040
Equation             Square                                                   Description : This SMART lesson
                                               Quadratic word problem -
                    Max/Min                    complete square and
                                                                              introduces the topic of quadratics
                     applications                                             to students. They will learn to
                                                quadratic formula
                    Solving by                                               recognize a parabola given an
                     factoring                 Completing the square: 9y^2   equation, table of values or a graph.
                    Graphing                   +54y +4                       Students will also examine the 7
                     quadratics using                                         key concepts of a parabola
                     intercepts +              Factoring and graphing y= -   including: vertex, zeros, axis of
                     applications               x^2+2x+24                     symmetry, optimal value, finite
                    Quadratic formula                                        differences, maximum/minimum
                    Problem solving           Parabola: Determine an        and direction of opening. They will
                     with quadratics            equation, given the zeroes    learn to make connections between
                                                and y-intercept               key features and solve simple
                                                                              problems.
                                               Discriminate - Quadratic
                                                roots: none, one or two       ELO1028560
                                                                              Description : Basics of quadratic
                                               Graphing quadratics - an      equations.
                                                easy method
                                                                              ELO1028570
                                                                              Description : understand
                                                                              quadratic equations and factoring.

                                                                              ELO1028590
                                                                              Description : This resource can be
                                                                              used to help students learn and
                                                                              understand quadratic equations its
                                                                              applications and how to sovle for
                                                                              them using 3 methods: completing
                                                                              the square, factoring and using the
                                                                              quadratic formula.

                                                                              ELO1028600
                                                                              Description : Completing-the-
                                                                              square as a means of solving
                                                                              qudratic equations. Lesson followed
                                                                              by drills/exercises. Self-marking.
                                                                              Solutions appear at students'
                                                                              discretion. Replay function
                                                                              generates new question

                                                                              ELO1028620
                                                                              Description : This resource allows
                                                                              for students to practise skills in
                                                                              Quadratic Equations Quadratic
                                                                              Equations: Quadratic Formulas 2

                                                                              ELO1128270
                                                                              Description : The properties of
                                                                              quadratic and exponential relations
                                                                              are discovered through analysis of
                                                                              their graphs

                                                                              ELO1195080
                                                                              Description: A fishing game that
                                                                              challenges players to use the
                                                                              coordinates of the vertex and one
                                                                              other point on a parabola to
                                                                              determine the value of the "a"
                                                                              variable and ultimately the equation
                                                                              of the parabola in vertex form

                                                                              ELO1105590
                                                                              Description : a graphing tool,
                                                                              allowing students to visualize
                                                                              solutions to problems. Students use
                                                                              technology to generate graphs and
                                                                              arrive at graphical solutions to
                                                                              problems.
MPM2D: Course Review Package

             What are you                                               Resources
             expected to learn?
   Units       Key Learnings                  Homework Help                                      OERB
                   Focus                 www.homeworkhelp@ilc.org                 http://resources.elearningontario.ca/
                                                                                  User id: kpdsbstudent Pass: oerbs




7 Analytic         Slope, Equation      Best Sessions:                           ELO1096550
Geometry            and Midpoint of                                               Description : Students will use this
                                               Analytic Geometry: Given
                    line                                                          object to obtain a conceptual
                                                the triangle A(-1,-2) B(6,0)
                   Length of line              C(2,10), determine the
                                                                                  understanding of how to calculate
                    segment                                                       the midpoint of a line segment from
                                                equation of the line through
                   Distance from a             B, parallel to AC. (AUDIO)
                                                                                  two given points. A connection with
                    point                                                         their prior knowledge of calculating
                   Circle Equation            Linear Equations: Find an         the average of two numbers will be
                   Applications                equation for a line with a        made to solidify their understanding
                    involving lines or          slope 6, passing through (-       of the formula.
                    circles                     1,4)
                                                                                  ELO1098330
                                               Median: The vertices of a         Description : Students will use this
                                                triangle are A(-1,-1), B (8,3)    object to obtain a conceptual
                                                and C(4,7). What is the           understanding of how to calculate
                                                equation of the median            the length of a line segment from
                                                though the point (-1,-1)?         two given points. A connection with
                                                (AUDIO)                           their prior knowledge of the
                                                                                  Pythagorean Theorem will be made
                                               Centroid: A traditional           to solidify their understanding of the
                                                method for finding the            formula
                                                centroid of triangle using
                                                medians and equations of          ELO1099660
                                                lines                             Description : This LO will review
                                                                                  analytic geometry concepts. It will
                                               Centroid: A quick way to          be in the form of a quiz, and the
                                                find the centroid of a triangle   students have to answer questions
                                                                                  correctly to uncover a 3x3 array of
                                               Circles: State the radius and     tiles. Underneath the tiles will be a
                                                give the coordinates of one       polygon which they will have to
                                                point on the circle for the       identify.
                                                equation x2+y2=20

                                               Tangent of a line: A tangent
                                                is a line that touches a circle
                                                at exactly one point. For
                                                what values of k will the line
                                                y= x+k be tangent to the
                                                circle x^2+ y^2 = 25?

                                               Determine the shortest
                                                distance from the point
                                                D(5,4) to the line represented
                                                by 3x+5y-4=0 (AUDIO)

                                               Triangles: Finding the
                                                circumcenter a) Find the
                                                circumcentre of triangle
                                                JKL, the point of intersection
                                                of the right bisectors of the
                                                three sides B) Show that the
                                                circumcentre of triangle JKL
                                                is equidistant from its
                                                vertices

                                               Analytical Geometry:
                                                Determine what type of
                                                triangle is created by the
                                                points D(7,-8) E(10,-4) F(-
                                                2,5)
                                         Listen & Learn:
                                               Tangent of a line: A tangent
                                                is a line that touches a circle
                                                at exactly one point. For
                                                what values of k will the line
                                                y= x+k be tangent to the
                                                circle x^2+ y^2 = 25?
MPM2D: Course Review Package

              What are you                              Resources
              expected to learn?
   Units        Key Learnings           Homework Help                        OERB
                    Focus          www.homeworkhelp@ilc.org   http://resources.elearningontario.ca/
                                                              User id: kpdsbstudent Pass: oerbs




                                                              ELO1317460
Culminating                                                   Description : This is a summative
Activities                                                    task in both WordPerfect and pdf
                                                              formats for Grade 10 Academic. It
                                                              incorporates all of the strands.

                                                              ELO1317420
                                                              Description : This is a summative
                                                              project in which students create a
                                                              real-life application of the enduring
                                                              expectations of this course.

                                                              ELO1318150
                                                              Description : This is a real-life
                                                              summative assessment in both
                                                              Word and pdf formats that
                                                              incorporates all strands in MFM2P
                                                              and MPM2D mathematics.

                                                              ELO1127150
                                                              Description : This activity provides
                                                              a number of exercises that will
                                                              permit you to demonstrate your
                                                              knowledge of the concepts
                                                              discussed in course.

                                                              ELO1127160
                                                              Description : Final Exam

                                                              ELO1127170
                                                              Description : This unit contains the
                                                              summative evaluation for the
                                                              course. The Root of Fun activity
                                                              has a focus of the mathematics in a
                                                              theme park.

                                                              ELO1127890
                                                              Description : The concepts of
                                                              expanding, factoring, changing
                                                              between forms of quadratic
                                                              relations, sketching quadratic
                                                              relations, solving quadratic
                                                              equations as well as applying these
                                                              concepts to real-life situations are
                                                              reviewed.

                                                              ELO1128220
                                                              Description : A trip to a theme park
                                                              provides an opportunity to use a
                                                              variety of mathematical concepts to
                                                              solve problems. Similar triangles,
                                                              trigonometry, quadratic relations,
                                                              analytical geometry and systems of
                                                              equations are all included.

                                                              ELO1128240
                                                              Description : Summative
                                                              evaluations in the form of a
                                                              culminating activity and a final exam
                                                              make up the final evaluations for
                                                              the course

                                                              ELO1308340
                                                              Description : In this culminating
                                                              activity, students will apply the
                                                              concepts developed throughout the
                                                              course

								
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