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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