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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

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:

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
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
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
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
(multi-step)
   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
   Max/Min                    complete square and
applications                                             to students. They will learn to
   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
   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.
roots: none, one or two       ELO1028560
   Graphing quadratics - an      equations.
easy method
ELO1028570
Description : understand

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

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

ELO1128270
Description : The properties of
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
   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
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
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,
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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