Curriculum Guide of K to 12 Elementary – Math Gr.1-10
Objective
Curriculum Information
Education Type
K to 12
Grade Level
Grade 8
Learning Area
Mathematics
Content/Topic
Patterns and Algebra
Geometry
Statistics and probability
Curriculum Guide
Intended Users
Educators
Competencies
Gives the place value and the value of a digit of a given decimal number through ten thousandths
Factors completely different types of polynomials polynomials with common monomial factor difference of two squares sum and difference of two cubes perfect square trinomials and general trinomials
Solves problems involving factors of polynomials
Illustrates rational algebraic expressions
Simplifies rational algebraic expressions
Performs operations on rational algebraic expressions
Solves problems involving rational algebraic expressions
Illustrates the rectangular coordinate system and its uses
Illustrates linear equations in two variables
Illustrates the slope of a line
Finds the slope of a line given two points equation and graph
Writes the linear equationax plus by minus c in the formy minus mx plus b and vice versa
Graphs a linear equation given aany two points b the x and y intercepts c the slope and apoint on the line
Describes the graph of a linearequation in terms of its interceptsand slope
Finds the equation of a line givena two points b the slope and apoint c the slope and itsintercepts
Solves problems involving linearequations in two variables
Illustrates a system of linearequations in two variables
Graphs a system of linearequations in two variables
Categorizes when a given systemof linear equations in two variableshas graphs that are parallelintersecting and coinciding
Solves a system of linear equationsin two variables by a graphingb substitution celimination
Solves problems involving systems of linear equations in two variables
Illustrates linear inequalities in two variables
Differentiates linear inequalities in two variables from linear equations in two variables
Graphs linear inequalities in two variables
Solves problems involving linear inequalities in two variables
Solves a system of linear inequalities in two variables
Solves problems involving systems of linear inequalities in two variables
Illustrates a relation and a function
Verifies if a given relation is a function
Determines dependent and independent variables
Finds the domain and range of a function
Illustrates a linear function
Graphs a linear functions a domain b range c table of values d intercepts and e slope
Solves problems involving linear functions
Determines the relationship between the hypothesis and the conclusion of an ifthen statement
Transforms a statement into an equivalent ifthen statement
Determines the inverse converse and contrapositive of an ifthen statement
Illustrates the equivalences of a the statement and its contrapositive and b the converse and inverse of a statement
Uses inductive or deductive reasoning in an argument
Writes a proof both direct and indirect
Describes a mathematical system
Illustrates the need for an axiomatic structure of a mathematical system in general and in geometry in particular a defined terms b undefined terms c postulates and d theorems
Illustrates triangle congruence
Illustrates the sas asa and sss congruence postulates
Solves corresponding parts of congruent triangles
Proves two triangles are congruent
Proves statements on triangle congruence
Applies triangle congruence to construct perpendicular lines and angle bisectors
Illustrates theorems on triangle inequalities exterior angle inequality theorem triangle inequality theorem hinge theorem
Applies theorems on triangle inequalities
Proves inequalities in a triangle
Proves properties of parallel lines cut by a transversal
Determines the conditions under which lines and segments are parallel or perpendicular
Illustrates an experiment outcome sample space and event
Counts the number of occurrences of an outcome in an experiment a table b tree diagram c systematic listing and d fundamental counting principle
Finds the probability of a simple event
Illustrates an experimental probability and a theoretical probability
Solves problems involving probabilities of simple events
Gives the place value and the value of a digit of a given decimal number through ten thousandths.
Reads and writes decimal numbers through ten thousandths.
Rounds decimal numbers to the nearest hundredth and thousandth.
Compares and arranges decimal numbers.
