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CONTENT STANDARDS
The learners should have knowledge and understanding of…
different quadrilaterals and their properties (continuation of T1)
congruence of triangles
congruence proofs
quadratic equations and graphs of quadratic functions
the solution of quadratic equations
PERFORMANCE STANDARDS
By the end of the term, the learners are able to…
use geometric properties to find unknown sides and angles of quadrilaterals.
apply the triangle congruence postulates and theorems.
construct and justify the construction of segments, angles, and triangles.
construct proofs of the congruence of triangles.
represent quadratic relationships.
interpret features of a parabola.
express quadratic functions in different forms.
sketch the graph of a quadratic function.
solve quadratic equations.
WEEKLY LESSONS
Derive the properties of trapezoids and kites by exploring the relationship between their parts and secondary parts.
TERM 2 | WEEK 2
Solve problems on trapezoids and kites by applying their properties.
Distinguish inductive and deductive reasoning for establishing proofs.
TERM 2 | WEEK 3
State postulates and theorems about defined and undefined terms in geometry, and formulates proofs involving them.
Use the triangle congruence postulates and theorems to illustrate congruence of triangles, including CPCTC (definition of congruent triangles).
TERM 2 | WEEK 4
Solve problems involving right triangle congruence theorems, isosceles triangle theorem, perpendicular bisector theorem, and midline theorem.
TERM 2 | WEEK 5
Construct and justify the construction of segments, angles and triangles, including, but not limited to, the triangle’s secondary parts and centers, using the triangle congruence postulates and theorems.
Construct congruence proofs involving triangles or corresponding parts of triangles using a two-column proof.
TERM 2 | WEEK 6
Represent real-life situations that can be modelled using quadratic relationships
Graph equations in two variables to represent quadratic relationships, such as y=ax² , y=ax²+b, y=a(x-b)².
TERM 2 | WEEK 7
Interpret features of a parabola such as vertex, axis of symmetry, x–intercepts, opening direction, minimum or maximum value, zeros, and increasing and decreasing intervals.
●Transform the quadratic functions y=ax² , y=ax²+b, y=a(x-b)² and y=ax²+bx+c into the form y=a(x-h)²+k and vice versa.
TERM 2 | WEEK 8
Sketch the graph of quadratic functions expressed in equation form.
Analyze the effect of changing the values of the parameters on the behavior of its graph and on the properties of the quadratic function y=a(x-h)²+k.
TERM 2 | WEEK 9
Find the zeros of quadratic functions in factored and standard form, graphically and algebraically.
Solve quadratic equations by: a. extracting square roots, b. factoring, and c. using the quadratic formula
TERM 2 | WEEK 10
Solve problems involving quadratic functions and equations.
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