MPM1D: End of Term Course Review Using The
MPM1D: Course Review Package
What are you expected to learn? / ResourcesUnits / Key Learnings Focus / Homework Help
/ OERB
User id: hdsbstudent Pass: hdsb
MPM1D: End of Term Course Review Using the
Homework Help and OERB Sites
General Instructions for Using these Resources
- To use the Homework Help Resources
a) Login to:
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”.
- To use the OERB resources:
a) Login to:
Using User id: ocdsbstudent 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.
For more information on downloading Smart Board Resources see “Teacher Access OERB” on the Homework Help Chat conference under HDSB Math or (HDSB Conferences/Education/Secondary Education)
- Ministry (e-LO) course content often starts with a page of expectations. The content can be found by scrolling down to the bottom.
1
Numeracy / BEDMAS, Integers, Fractions, Ratio, Rate, Percents, Exponents / Best Sessions:
- EQAO Ratios: unit rate
- Rates: Mr. Costescu sold 42 calculators in 5 days. At this rate, how many could he sell in 19 days?
- EQAO Exponent rules: division
- BEDMAS: 4x16/2-10+4
- Percent = Find 25% of 500
- Square roots and exponents
- Simplify this fraction expression using order of operations: 1/4-(5/4divided by3/4)exponent 2
- Fractions: Add, subtract, multiply and divide using BEDMAS
- Order of Operations with Exponents and Integers
- Order of Operations (BEDMAS)
- Exponents and Square Roots
- Fractions - Addition and Subtraction
- Fractions - Multiplication and Division
- Integers - Adding and Subtracting
- Integers - Multiplying and Dividing
- Rate of Change
- Ratio
- Fractions
- Percentages
Description: They will learn the exponent laws, review percents, ratios, and rates.
ELO1093630
Description:This is a resource to aid students in visualizing and understanding addition and subtraction of integers.
ELO1093650
Description:This is a resource to help students in the addition and subtraction of integers, especially around the number zero.
2
Algebra and Polynomials / Operations with polynomials,
Exponent Laws / Best Sessions:
- Algebra: simplifying polynomials by collecting like terms
- Factor: x^2-8x+16-4y^2 (multi-step)
- EQAO Exponent rules: multiplication
- EQAO Exponent rules: a multi step problem
- EQAO Exponent rules: Power of a Power
- Patterns and Exponents - How do I find the 16th term of this pattern? 1,2,4,8,16
- Collecting Like Terms
- Expanding Expressions
- Identifying Like Terms
- Powers
- Simplifying Polynomials by Combining
Description:The second unit is meant to demonstrate that math is more than just numbers. It continues to reveal extra-curricular opportunities within the high school through the various clubs. Students learn algebra terminology which will prove useful throughout the rest of the course. They learn to recognize as well as manipulate different types of polynomials. Students delve into more complex problem-solving situations involving real-life scenarios. There is a quiz and an assignment to solidify their learning. Students are able to explore all of these concepts using Algebra tiles and various links. Opportunities for individual learning and group interaction through discussions are provided, so that by the end of the unit, the students are prepared to complete both a formative and Summative assessment on Algebra. This resource is best viewed with Internet Explorer.
3
Equations / Solving and checking equations,
solving word problems / Best Sessions:
- How to solve alebraic equations containing fractions
- Word Problem using algebra to solve for age: The ages of Kirsten and Victor total 27 years. When Victor's age plus twice Kirsten's age is 43, what will their ages be?
- Fractions word problem: addition and subtraction of fractions
- Simplify 3b-4-5b=-3b-2
- Solving One-Step Equations
- Solving Equations in the Form ax + b = c
- Solving Equations: Multiple-step solutions
- Making Equations from Real-Life Problems
- Solving Equations
- Word Problems: Finding a Pattern
- Word Problems: Using a Logic Box
- Word Problems: Using a Table
Description:The theme of this unit is community outreach extra-curricular activities in secondary school. Students gather, analyze, manipulate, and display data to model and communicate results. Students conduct investigations to verify or refute their own conjecture, using lines or curves of best fit, tables and pattern descriptions. They communicate their findings and describe trends. Students explore the characteristics of lines and their corresponding mathematical models. Students model realistic situations that involve constant rates of change. Students work with spreadsheets and graphing software. The performance task at the end of the unit asks students to submit to a drop box. Teachers should set up the class drop box beforehand or advise students to use alternative form of submission.
4
Measurement / Surface area and volume of polyhedra,
Pythagorean theorem / Best Sessions:
- Rectangle - Area and perimeter
- Area of a trapezoid
- Area of Composite shapes
- Surface area of a triangular prism
- Cone: volume and surface area
- Circles: Find the area when given the diameter
- Volume of 3D shapes
- EQAO Volume of a cone
- EQAO Maximum volume
- Pythagorean Theorem: Solving for c
- Pythagorean Theorem: solve for a or b
- Circle Measurement
- Calculating the Area of a Trapezoid
- Calculating the Surface Area of a Cylinder
- Pythagorean Theorem
- Measurement: Optimization
- Volume Calculation
- Pythagorean Theorem
Description:The theme of this unit is winter sport extra-curricular activities in secondary school. In this unit, students are reintroduced to area, perimeter, surface area, volume, and the Pythagorean Theorem. Students work through perimeter and area problems for different types of polygons. They will use these skills to solve problems with combinations of these polygons, called composite figures. Applications of finding perimeter and area will be a focus throughout the unit including minimizing perimeter and maximizing area. Students find surface area and volume of some polyhedral including prisms, pyramids, cones, cylinders and spheres. Applications of finding surface area and volume will be a focus throughout the unit, including minimizing surface area and maximizing volume.The unit will culminate with an assessment task of designing some packaging. This resource is best viewed with Internet Explorer.
ELO1099010
Description:This is a resource to aid in visualizing how to minimize surface area given a fixed volume and how to maximize volume given a fixed surface area.
5
Relationships / Scatter plots, line of best fit, graphing linear and non-linear relationships / Best Sessions:
- Line of best fit: How do you find a line of best fit?
- The Cartesian Grid
- The XY-Plane
Description:In this unit, students will continue work with linear relations. They will recognize how the degree of the equation relates to whether a relationship is linear or non-linear.
6
Slope and the Line / Slope of a line,
y=mx+b,
applications of linear relations, finding equations of lines / Best Sessions:
- EQAO Slope: Rise over run
- Equations of vertical lines
Interactive Tutorials:
- Slope Calculation
- Linear Relations
Description:The theme of this unit is fall sports as extra-curricular activities in secondary school. In this unit, students work with linear relations. They will recognize how the degree of the equation relates to linearity. Students find the slope by using two points and the slope formula, reading it off a graph, or simply using a rise and a run. Students explore both the slope-y-intercept and the standard form of the equation and make connections. And, they explore various ways to plot their equations. Students learn to interpret lines and graphs in order to make conclusions about the names of the lines, the properties of the lines, and relationships between sets of lines. Students explore the relationship between parallel and perpendicular lines. Students apply their knowledge of graphing and linear relationships to real-life situations. This resource is best viewed with Internet Explorer. There is known problem with FireFox.
7
Geometry / Angles in triangles; properties of quadrilaterals
Parallel and Perpendicular lines / Best Sessions:
- Interior Angles of concave polygons
- Angles: Find the missing angles using supplementary angle theorem
- Angles: Find the missing angles in a triangle
- Angles: Find the missing angles within a triangle
- Angle measurement: interior angles of polygons
- Determine the shortest distance from the point D(5,4) to the line represented by 3x+5y-4=0 (AUDIO)
- Orthocentre, circumcentre and centroid
- Orthocentre: find the orthocentre of p(0,-2) q(4,4) and r(-4,5) (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
- Linear Equations: Write an equation of the line parallel to 2x+y-2=0 and passing through the point (4,5)
- Analytic Geometry: Given the triangle A(-1,-2) B(6,0) C(2,10), determine the equation of the line through B, parallel to AC. (AUDIO)
Description:In this unit, students will investigate, discover and apply geometric relationships. Students will examine properties of triangles and quadrilaterals and look for patterns that can be generalized for all polygons. Students will use dynamic geometry software in their investigations
Culminating Activities / ELO1107050
Description:This course has the theme of extra-curricular activities running through it. This activity is a performance task based on this theme. Students are to arrange a banquet for an extra-curricular activity. They will make the arrangements for the banquet: caterer and hall, cost comparisons, cake, invitations and/or announcements, and summary report Users should be aware that expectations.html may contain some inaccuracies.
ELO1106340
Description:This activity is a culminating performance task. It incorporates and builds upon tasks that the students have been working on throughout the unit. Users should be aware that expectations.html may contain some inaccuracies.
ELO1316390
Description:This is a final culminating task for the grade 9 Academic Math course. The task is designed to allow students the opportunity to apply the concepts that they have learned throughout this course
ELO1106730
Description:This activity is a culminating or performance task. Throughout the unit, students working on a performance task. You will find components in activities 1, 2, 3, 4 of this unit. The final part of the task is found in the assignment area.
ELO1107360
Description:This unit is the summative assessment for MPM1D. This assessment is worth 30% 0f the final mark of the course. The assessment is divided into two parts: a performance task and a written examination.
General / ELO1079580
Description : practice, review, fractions, preparation, concepts, angles, circumference, midpoint, percent, Cartesian plane
EQAO / Best Sessions:
- EQAO prep: What do you need to know?
Description:This EQAO practice is the Winter 2007 Academic booklet. It is for use with the SENTEO system on a SMARTboard