Math 9 Course Outline 2012

advertisement
Mathematics 9 Course Outline
2012-2013
Ms. Keddy
A major emphasis in this course will be to encourage and enable students to gain
confidence in their mathematical abilities, become better problem solvers,
communicate mathematically, and understand the value of mathematics in their
everyday lives. In Math 9 students will continue to develop skills and concepts
learned in grade 7 and grade 8, as well as discover and learn new outcomes for
grade 9.
Course Topics and Tentative Timeframe:
Topic
Number Sense
Related Outcomes
Solve problems involving square root and principal
square roots
Tentative
Timeframe
3 weeks
Graph, and write in symbols and in words, the solution
set for equations and inequalities involving integers
and other real numbers
Demonstrate an understanding of the meaning and
uses of irrational numbers
Demonstrate an understanding of the interrelationships of subsets of real numbers
Compare and order real numbers
Numerical
Operations
Model, solve, and create problems involving real
numbers
Add, subtract, multiply, and divide rational numbers in
fractional and decimal forms using the most
appropriate method
Apply the order of operations in rational number
computations
Demonstrate an understanding of and apply the
exponent laws for integral exponents
Model, solve, and create problems involving numbers
4 weeks
expressed in scientific notation
Determine the reasonableness of results in problem
situations involving square roots, rational numbers,
and numbers written in scientific notation
Select and use appropriate strategies in problem
situations
Algebraic
Operations
Add and subtract polynomial expressions symbolically
to solve problems
4 weeks
Factor algebraic expressions with common monomial
factors concretely, pictorially, and symbolically
Recognize that the dimensions of a rectangular area
model of a polynomial are its factors
Find products of two monomials, a monomial and a
polynomial, and two binomials
Concretely, pictorially, and symbolically
Find quotients of polynomials with monomial divisors
Evaluate polynomial expressions
Solving
Equations
Demonstrate an understanding of the applicability of
commutative, associative, distributive, identity, and
inverse properties to operations involving algebraic
expressions
Solve single-variable equations algebraically and verify
the solution
4 weeks
Solve first-degree single-variable inequalities
algebraically, verify the solutions, and display them on
number lines
Solve and create problems involving linear equations
and inequalities
Geometry I
Interpret, represent, and apply mapping notation for
transformations on the coordinate plane.
Make and apply informal deductions about the
minimum sufficient conditions to guarantee a
3 weeks
translation, reflection, and a 180 rotation.
Make and apply information deductions about the
minimum sufficient conditions to guarantee the
similarity of two triangles.
Relations
Represent patterns and relationships in a variety of
formats and use these representations to predict and
justify unknown values
4 weeks
Interpret graphs that represent linear and non-linear
data
Construct and analyse tables and graphs to describe
how changes in one quantity affect a related quantity
Determine the equations of lines by obtaining their
slopes and y-intercepts from graphs, and sketch
graphs of equations using y-intercepts and slopes
Solve indirect measurement problems by connecting
rates and slopes
Matrices
Represent problem situations using matrices
1 week
Model, solve, and create problems involving the matrix
operations of addition, subtraction, and scalar
multiplication
Volume and
Surface Area
Relate the volumes of pyramids and cones to the
volumes of corresponding prisms and cylinders
Estimate, measure, and calculate dimensions,
volumes, and surface areas of pyramids, cones, and
spheres in problem situations
Solve problems involving square root and principal
square root
4 weeks
Geometry II
Make and apply generalizations about the properties of 3 weeks
Platonic Solids.
Solve problems using 3-D shapes using visualization,
reasoning, and geometric modeling.
Recognize, name, describe, and represent arcs,
chords, tangents, central angles, inscribed angles and
circumscribed angles, and make generalizations about
their relationships in circles
Scatterplots
Describe characteristics of possible relationships
shown in scatterplots
2 weeks
Sketch lines of best fit and determine their equations
Sketch curves of best fit for relationships that appear
to be non-linear
Data Analysis
Select, defend, and use the most appropriate methods
for displaying data
1 week
Draw inferences and make predictions based on data
analysis and data displays
Demonstrate an understanding of the role of data
management in society
Probability
Make predictions of probabilities involving dependent
and independent events by designing and conducting
experiments and simulations
Determine theoretical probabilities of dependent and
independent events
Demonstrate an understanding of how experimental
and theoretical probabilities are related
Recognize and explain why decisions based on
probabilities may be combinations of theoretical
calculations, experimental results, and subjective
judgments
2 weeks
Required Materials:
Students are expected to come to each class prepared with:
π
π
π
π
π
π
binder
looseleaf
pencils and erasers
math set
scientific calculator
graph paper
Evaluation:
Observation/Discussion
Journal
Assignments/Projects
Quizzes
Tests
January Midterm
10%
10%
30%
10%
30%
10%
85% of final grade
June Final Exam
15%
15% of final grade
General Information
π
All math work must be completed in PENCIL. Work done in pen will NOT
be accepted.
π
Practice questions will be assigned on a regular basis. While these questions
will not always be collected and marked, the completion of these questions is
essential to the development of concepts taught in this course and must be
completed. Additional questions will often be provided for students who
need/wish to have more practice to solidify concepts and ensure
understanding.
π
If you miss a class it is very important that you find out what was covered
that day. Please see me beforehand if you know you will be absent the day
of a quiz or test. Assignments are due on the assigned day at the beginning
of class.
π
Homework, announcements, a class calendar, and course documents can all
be accessed via a classroom website. This will be updated on a daily basis.
Please feel free to access this site to remain up-to-date with class activities.
To get to the site, go to the ICS website
http://sharepoint.tcrsb.ca/ics/default.aspx and click on Classroom Links.
Extra Help!
π
Extra help sessions are available at the following times:

Mornings: 8:15 – 8:45 on Day 1 and Day 2 in the MPR

Afternoon: 3:15 – 3:45 on Day 1 in the MPR

Lunch: 12:15 – 12:40 on Day 2 in the classroom
Please feel free to contact me with questions or concerns at any time.
School: 839-6300
Email: juliekeddy@staff.ednet.ns.ca
Student Signature: ___________________________
Parent/Guardian Signature: ____________________________
Download
Study collections