GRADE 7
Table of
Competencies: Numbers and Number Sense
Performance Standard: The learners are
able to explore set concepts and set operations.
|
·
Describe
and illustrate well-defined sets, universal set, subsets and the null set
|
·
Define
and describe the union and intersection of sets and the complement of a set
|
Performance
Standard: The learners are able to apply various procedures and manipulations
on the different subsets of the set of real numbers.
|
·
Describe
and illustrate the absolute value of a number on a number line as the distance
of the number from 0
|
·
Perform
fundamental operations on integers: addition, subtraction, multiplication,
division
|
·
State
and illustrate the different properties of the operations on integers
(commutative, associative, distributive, identity, inverse)
|
·
Define
and illustrate rational numbers and arrange them on a number line
|
·
Express
rational numbers (both repeating and terminating/non-repeating and
non-terminating) from fraction form to decimal form and vice versa
|
·
Perform
operations on rational numbers and illustrate their properties
|
·
Describe
principal roots and tell whether they are rational or irrational
|
·
Determine between what two integers the square
root of a number is
|
·
Illustrate and graph irrational numbers
(square roots) on a number line without and with appropriate technology
|
·
Describe,
represent and compare the different subsets of real numbers
|
·
Find
the union, intersection and complement of the set of real numbers and its
subsets
|
·
Arrange real numbers in increasing or
decreasing order
|
·
Determine the significant digits in a given
situations
|
·
Write very large or very small numbers in
scientific notation
|
·
Describe and represent real-life situations
which involve integers, rational numbers, square roots of a rational numbers
and irrational numbers
|
·
Solve problems involving real numbers
|
Table of
Competencies: Measurement
Performance Standard: The learners are
able to extend concepts of measurements to include different types of
measures and all the subsets of the set of real numbers to solve measurement
problems.
|
·
Describe the development of measurement from
the primitive to the present international system of units
|
·
Describe what it means to measure
|
·
Estimate or approximate the measures of
quantities particularly length, weight/mass, volume, time, angle and
temperature
|
·
Use appropriate instruments to measure
quantities such as length, weight/mass, volume, time, angle and temperature
|
·
Convert measurements from one unit to another
for each type of measurement
|
·
Solve real-life problems involving
measurements such as perimeter, area, weight, time, speed, temperature,
volume/capacity and utilities usage (meter reading)
|
·
Derive inductively the areas for perimeter,
area and volume
|
Table of Competencies:
Algebra
Performance Standard: The learners are
able to simplify and evaluate algebraic expressions.
|
·
Translate
verbal phrases to mathematical phrases and vice-versa
|
·
Differentiate
between constants and variables in a given algebraic expression
|
·
Evaluate
algebraic expressions for given values of the variables
|
Performance
Standard: The learners are able to explore the concept of and manipulate
polynomials and multinomials.
|
·
Define
and give examples of polynomials, monomial, binomial, trinomial, multinomial
|
·
Identify
the base, coefficient, terms and exponents in a given polynomial
|
·
Illustrate
the laws of exponents
|
·
Add
and subtract polynomials
|
·
Multiply
and divide polynomials using the laws of exponents
|
·
Find inductively
by using models the (a) product of two binomials; (b) product of a sum and
difference of two terms; (c) square of a binomial; (d) cube of a binomial;
(e) product of a binomial and a trinomial
|
·
Derive
inductively the Laws of Exponents:
   |
Performance
Standard: The learners are able to solve equations and inequalities.
|
·
Differentiate
between mathematical expressions and mathematical equations
|
·
Translate
English sentences to mathematical sentences and vice versa
|
·
Differentiate
between equations and inequalities
|
·
Find
the solution of an equation or inequality involving one variable, including
one that involves absolute value (a) from a given replacement; (b)
intuitively by guess and check; (c) by algebraic procedures (applying the
properties of equalities and inequalities); (d) graphing
|
·
Solve
real-life problems that use equations and inequalities
|
·
Define
and illustrate the meaning of
 |
Performance Standard: The learners are
able to analyze and investigate in a more formal environment the basic
concepts in geometry.
|
·
Represent
a point, line and plane using concrete and pictorial models
|
·
Define,
identify and name the subsets of a line
|
·
Illustrate,
name, identify and define the different kinds of angles
|
·
Derive
relationships of geometric figures using measurements and by inductive
reasoning: supplementary angles, complementary angles, congruent/equal angles,
adjacent angles, linear pairs, perpendicular lines and parallel lines
|
·
Derive
relationships between vertical angles and among angles formed by parallel
lines cut by a transversal using measurement and by inductive reasoning
|
Performance
Standard: The learners are able to analyze and investigate the different
kinds of triangles, quadrilaterals convex polygons and circles.
|
·
Use a
compass and straightedge to bisect line segments and angles and
perpendiculars
|
·
Classify
triangles according to their angles and according to their sides
|
·
Illustrate,
name and identify different kinds of triangle and define the terms associated
with a triangle
|
·
Derive
relationships among the sides and angles of a triangle using measurement and
by inductive reasoning
|
·
Illustrate,
name and identify the different kinds of quadrilaterals
|
·
Derive
relationships among the angles and among the sides of a quadrilateral using
measurement and by inductive reasoning
|
·
Define
and illustrate convex polygons
|
·
Derive
the relationship of exterior and interior angles of any convex polygon using
measurement and by inductive reasoning
|
·
Illustrate
a circle and define the terms related to it: radius, diameter, center, arc
and central angle
|
Table of
Competencies: Probability and Statistics
Performance Standard: The learners are
able to engage in statistical investigations.
|
·
Explain
the basic concepts, uses and importance of Statistics
|
·
Pose
questions and problems that may be answered using Statistics
|
·
Collect
or gather statistical data and organize the data in a frequency table
according to some systematic considerations
|
·
Use
appropriate graphs to represent organized data: pie chart, bar graph, line
graph and a histogram
|
·
Find
the mean, median and mode of ungrouped statistical data
|
·
Describe
the data using information from the mean, median and mode
|
·
Analyze,
interpret accurately and draw conclusions from graphic and tabular
presentations of statistical data
|
