SECTION TWO: CURRICULUM DESIGN
24 SCIENCE 5 CURRICULUM GUIDE 2017
How to Use the Four Column Curriculum Layout
Outcomes
Column one contains specic curriculum
outcomes (SCO) and accompanying
delineations where appropriate. The
delineations provide specicity in
relation to key ideas.
Outcomes are numbered in ascending
order
Delineations are indented and
numbered as a subset of the
originating SCO.
All outcomes are related to general
curriculum outcomes.
Focus for Learning
Column two is intended to assist
teachers with instructional planning. It
also provides context and elaboration of
the ideas identied in the rst column.
This may include:
• references to prior knowledge
• clarity in terms of scope
• depth of treatment
• common misconceptions
• cautionary notes
• knowledge required to scaffold and
challenge student’s learning
Sample Performance Indicator(s)
This provides a summative, higher order activity, where the
response would serve as a data source to help teachers assess
the degree to which the student has achieved the outcome.
Performance indicators are typically presented as a task, which
may include an introduction to establish a context. They would
be assigned at the end of the teaching period allocated for the
outcome.
Performance indicators would be assigned when students have
attained a level of competence, with suggestions for teaching and
assessment identied in column three.
32 GRADE 9 MATHEMATICS CURRICULUM GUIDE (INTERIM) 2010
Outcomes
SPECIFIC CURRICULUM OUTCOMES
Focus for Learning
Students will be expected to
1.2 model division of a given
polynomial expression
by a given monomial
concretely or pictorially
and record the process
symbolically.
Division of a polynomial by a monomial can be visualized using area
models with algebra tiles. The most commonly used symbolic method
of dividing a polynomial by a monomial at this level is to divide each
term of the polynomial by the monomial, and then use the exponent
laws to simplify. This method can also be easily modelled using tiles,
where students use the sharing model for division.
Because there are a variety of methods available to multiply or
divide a polynomial by a monomial, students should be given the
opportunity to apply their own personal strategies. They should be
encouraged to use algebra tiles, area models, rules of exponents, the
distributive property and repeated addition, or a combination of any
of these methods, to multiply or divide polynomials. Regardless of the
method used, students should be encouraged to record their work
symbolically. Understanding the different approaches helps students
develop exible thinking.
Sample Performance Indicator
Write an expression for the missing dimensions of each rectangle and
determine the area of the walkway in the following problem:
• The inside rectangle in the diagram below is a ower garden. The
shaded area is a concrete walkway around it. The area of the
ower garden is given by the expression 2x
2
+ 4x and the area of
the large rectangle, including the walkway and the ower garden,
is 3x
2
+ 6x.
x
3x
1.3 apply a personal
strategy for multiplication
and division of a given
polynomial expression
1.0 model, record and
explain the operations of
multiplication and division
of polynomial expressions
(limited to polynomials of
degree less than or equal to
2) by monomials, concretely,
pictorially and symbolically.
[GCO 1]
From previous work with number operations, students should be
aware that division is the inverse of multiplication. This can be
extended to divide polynomials by monomials. The study of division
should begin with division of a monomial by a monomial, progress to
a polynomial by a scalar, and then to division of a polynomial by any
monomial.
GCO 1: Represent algebraic expressions in multple ways