GRADE LEVEL STANDARD · Chapter Test Week 9 Second Quarter Examination . SYLLABUS IN MATHEMATICS 8...
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SYLLABUS IN MATHEMATICS 8 FIRST QUARTER PROGRAM STANDARD The learner demonstrates understanding and appreciation of key concepts and principles of mathematics as applied - using appropriate technology - in problem solving, critical thinking, communicating, reasoning, making connections, representations, and decisions in real life. GRADE LEVEL STANDARD The learner demonstrates understanding of key concepts and principles of patterns and algebra (factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables, systems of linear equations and inequalities in two variables); geometry (axiomatic structure of geometry, triangle congruence, inequalities in a triangle, and parallel and perpendicular lines) as applied - using appropriate technology - in critical thinking, problem solving, reasoning, communicating, making connections, representations, and decisions in real life. CONTENT STANDARD The learner demonstrates understanding of the key concepts of polynomial, special products, fundamental operations of polynomials and factoring of polynomials. PERFORMANCE STANDARD The learner is able to formulate real-life problems involving polynomial, special products, fundamental operations of polynomials and factoring of polynomials and solve these with utmost accuracy using variety of strategies. TIME FRAME TOPICS LEARNING COMPETENCIES ASSESSMENT Week 1 Student’s General Orientation Week 2 Integral Exponents Positive Integral Exponents and Laws of Exponents Zero and Negative Integral Exponents The learner... reviews the laws of exponent. states the laws of positive integral exponents. defines x where x is a positive Formative: Board work Recitations Group Activity Think-Pair-Share Self-Assessment Lap– Clap- Click
Transcript of GRADE LEVEL STANDARD · Chapter Test Week 9 Second Quarter Examination . SYLLABUS IN MATHEMATICS 8...
SYLLABUS IN MATHEMATICS 8
FIRST QUARTER
PROGRAM STANDARD The learner demonstrates understanding and appreciation of key concepts and principles of mathematics as applied - using appropriate technology - in problem solving, critical thinking, communicating, reasoning, making connections, representations, and decisions in real life.
GRADE LEVEL STANDARD The learner demonstrates understanding of key concepts and principles of patterns and algebra (factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables, systems of linear equations and inequalities in two variables); geometry (axiomatic structure of geometry, triangle congruence, inequalities in a triangle, and parallel and perpendicular lines) as applied - using appropriate technology - in critical thinking, problem solving, reasoning, communicating, making connections, representations, and decisions in real life.
CONTENT STANDARD The learner demonstrates understanding of the key concepts of polynomial, special products, fundamental operations of polynomials and factoring of polynomials.
PERFORMANCE STANDARD The learner is able to formulate real-life problems involving polynomial, special products, fundamental operations of polynomials and factoring of polynomials and solve these with utmost accuracy using variety of strategies.
TIME FRAME
TOPICS LEARNING COMPETENCIES ASSESSMENT
Week 1 Student’s General Orientation
Week 2
Integral Exponents
Positive Integral Exponents and Laws of Exponents
Zero and Negative Integral Exponents
The learner...
reviews the laws of exponent.
states the laws of positive integral
exponents.
defines x where x is a positive
Formative:
Board work
Recitations
Group Activity
Think-Pair-Share
Self-Assessment
Lap– Clap- Click
Values on Focus:
Honesty and accuracy
integer.
M7AL-IId-e-1: derives the laws of exponent.
evaluates algebraic expressions with integral exponents.
simplifies algebraic expressions with integral exponents. evaluates numerical expressions .
defines zero and negative exponents.
explains the derivation of the zero and negative exponents.
simplifies algebraic expressions involving zero and negative exponents.
LAS 1: “Laws of
Exponents”
Summative
Reflection
Long Test 1
Week 3 Polynomials
Idea of Polynomials
Understanding
Polynomial Addition and
Subtraction
Multiplication of
Polynomials
Synthetic Division
Values on Focus: Honesty and accuracy
The learner...
M7AL-IId-2: adds and subtracts
polynomials.
M7AL-IIe-2: multiplies and divides polynomials.
Formative:
Board work
Recitations
Group Activity
Mixed-Pair-Discuss
LAS 2: “Polynomials”
Summative
Reflection
Long Test 2
Week 4 Problems Involving Operations of Polynomials
The learner...
M7AL-IIg-2: solves problems involving algebraic expressions.
applies algebraic expression in
Formative:
Board work
Recitations
Group Activity
real life situation. Mixed-Pair-Discuss
LAS 3: “Problems
Involving Operations of
Polynomials”
Summative
Reflection
Chapter Test
Week 5 First Mid Quarter Examination
Week 6 Special Products
Multiplying a Polynomial by a monomial
Multiplying Binomials
Multiplying Polynomials
Multiplying Conjugates
Squaring a binomial
Sum and difference of two
cubes
Cube of a binomial
Square of a trinomial
Values on Focus:
Honesty, perseverance and patience
The learner...
reviews multiplication of polynomials using the distributive property and FOIL method.
M7AL-IIe-g-1: uses models and algebraic methods to find the: (a) product of two binomials; (b) product of the sum and difference of two terms; (c) square of a binomial; (d) cube of a binomial; (e) product of a binomial and a trinomial.
Formative:
Board work
Recitations
Group Activity
Think-Pair-Share
“PAIRMOKONYAN”
LAS 4: Gallery Walk Summative
Journal Writing
Long Test 4
Performance Task
Week 7 Factorization of Algebraic Expressions
Introduction to Factoring
Factorization using Identities
The learner...
identifies the common factor of a polynomial.
factors polynomials whose terms have a common monomial factor.
Formative:
Board work
Recitations
Lap- Clap- Click
LAS 5: “Factogon”
Triad groups:
Values on Focus:
Honesty, perseverance and patience
factors polynomials with groupings.
M8AL-Ia-b-1: 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).
Famous Four Words
Summative
Reflection
Long Test 5
Week 8 Factoring General Trinomials
Factoring Trinomials of the Form x2+bx+c
Factoring Trinomials of the Form ax2+bx+c where a ≠ 1
Special Cases of Factoring
Factorization using the
Difference and Sum of
Two Cubes Identities
The learner...
M8AL-Ia-b-1: 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).
factors Trinomials of the Form x2 + bx + c or ax2 + bx + c.
factors general trinomials using algebra tiles.
factors binomials which are sums
or differences of two cubes.
Formative:
Board work
Recitations
Perfect Hunt
Game using algebra tiles
Summative
Reflection
Long Test6
Week 9 Factorization of Algebraic Expressions
Solving Quadratic Equation by Factorization
Values on Focus:
The learner...
M8AL-Ia-b-1: factors completely different types of polynomials (polynomials with common monomial factor, difference of
Formative:
Board work
Recitations
LAS 7: “Solving Quadratic Equation by Factorization”
Honesty, accuracy and perseverance.
two squares, sum and difference of two cubes, perfect square trinomials, and general trinomials).
M8AL-Ib-2: solves problems involving factors of polynomials.
LAS 8: “Message From the King”
Summative
Journal Writing
Chapter Test
Week 10 First Quarter Examination
SYLLABUS IN MATHEMATICS 8 SECOND QUARTER
PROGRAM STANDARD The learner demonstrates understanding and appreciation of key concepts and principles of mathematics as applied - using appropriate technology - in problem solving, critical thinking, communicating, reasoning, making connections, representations, and decisions in real life.
GRADE LEVEL STANDARD The learner demonstrates understanding of key concepts and principles of patterns and algebra (factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables, systems of linear equations and inequalities in two variables); geometry (axiomatic structure of geometry, triangle congruence, inequalities in a triangle, and parallel and perpendicular lines) as applied - using appropriate technology - in critical thinking, problem solving, reasoning, communicating, making connections, representations, and decisions in real life.
CONTENT STANDARD The learner demonstrates understanding of the key concepts and principles of rational algebraic expressions, zero and negative integer exponents, radical expressions and functions and rational exponents.
PERFORMANCE STANDARD The learner is able to formulate real-life problems involving rational algebraic expressions, zero and negative integer exponents, radical expressions and functions and rational exponents and solve these with utmost accuracy using variety of strategies.
TIME FRAME
TOPICS LEARNING COMPETENCIES ASSESSMENT
Week 1 Manipulation of Rational Expression
Defining a Rational Expressions
Simplifying Fractions
Simplifying Rational Expressions
Multiplication and Division of Rational Expression
The learner...
recalls the basic rule of fractions.
M8AL-Ic-1: illustrates rational algebraic expressions.
M8AL-Ic-2: simplifies rational algebraic expressions.
M8AL-Ic-d-1: performs operations on rational algebraic
Formative:
Board work
Recitations
“MATCHITTOME”
LAS 1: “Multiplication of Rational Expression”
LAS 2: “Division of Rational Expression”
Values on Focus:
Honesty, accuracy andbeing careful
expressions.
Summative
Reflection
Long Test 1
Week 2 Rational Expressions
Adding and Subtracting with Like Denominators
Adding and subtracting
with Unlike Denominators
(Finding the LCD)
Values on Focus:
Honesty, accuracy and being careful
The learner...
M8AL-Ic-d-1: performs operations on rational algebraic expressions.
recalls addition and subtraction of fractions.
adds and subtracts rational expressions with like denominators.
finds the LCD.
Formative:
Board work
Recitations
My Value
LAS 3: “Addition and Subtraction of Rational Expression”
Summative
Reflection
Long Test 2
Performance Task
Week 3 Equations involving Rational Expressions
Solving Rational
Equations
The learner...
defines a rational equation.
solves a rational equation.
solves equations involving
rational expressions.
thinks critically and divergently.
Formative:
Board work
Recitations
Think -Pair- Share
LAS 4: “Solving Rational Equations”
Summative
Reflection
Long Test 3
Week 4 Problem Solving involving Rational Equations
Values on Focus:
The learner...
M8AL-Id-2: solves problems
involving rational algebraic
Formative:
Board work
Recitations
Mixed-Pair-Discuss
Honesty, accuracy and being careful
expressions.
discusses ideas related to
problem solving.
LAS 5: “Problem Solving involving Rational Equations”
Summative
Journal Writing
Chapter Test
Week 5 Second Mid-Quarter Examination
Week 6 The Cartesian Coordinate Plane
Plotting a point
Determining the coordinates of a point
Patterns, Equations, and Graphs Values on Focus: Honesty, accuracy and being careful
The learner...
M8AL-Ie-1: illustrates the rectangular coordinate system and its uses.
describes the Cartesian coordinate plane (x – axis, y – axis, quadrant and origin).
gives the coordinates of a point.
plots the point on the Cartesian plane.
identifies the location of the point without plotting.
represents the relationship between two quantities using patterns, tables, equations and graphs.
Formative:
Board work
Recitations
“Spotting Erroneous Coordinates”
LAS 6: “Cartesian Coordinate Plane”
LAS 7: “Patterns, Equations, and Graphs”
Summative
Reflection
Long Test 5
Week 7 Problem Solving involving Plotting of points Formalizing Relations and Functions
Relations and functions
The vertical line test
The learner…
solves problems involving plotting of points.
defines a relation.
identifies the kind of relation.
determines whether a relation is a function through the vertical line
Formative:
Board work
Recitations
Mixed-Pair-Discuss
“CLASSIFY”
LAS 8: “Relations and Functions”
test.
describes a function by graphing.
Summative
Reflection
Long Test 6
Week 8 Basic Idea of Function
Understanding function
Representation of a
Function
Domain and range
Understanding function
notation and its evaluation
The Learner…
defines a function
differentiates a function from a
mere relation
represents a relation in three
ways; a table, a mapping, and a
graph
lists the domain and range of a
relation
uses function notation in
expressing information
Formative:
Board work
Recitations
Think – Pair –Share
“PLOT IT!”
LAS 9: “Functions”
Summative
Reflection
Chapter Test
Week 9 Second Quarter Examination
SYLLABUS IN MATHEMATICS 8
THIRD QUARTER
PROGRAM STANDARD The learner demonstrates understanding and appreciation of key concepts and principles of mathematics as applied - using appropriate technology - in problem solving, critical thinking, communicating, reasoning, making connections, representations, and decisions in real life.
GRADE LEVEL STANDARD The learner demonstrates understanding of key concepts and principles of patterns and algebra (factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables, systems of linear equations and inequalities in two variables); geometry (axiomatic structure of geometry, triangle congruence, inequalities in a triangle, and parallel and perpendicular lines) as applied - using appropriate technology - in critical thinking, problem solving, reasoning, communicating, making connections, representations, and decisions in real life.
CONTENT STANDARD The learner demonstrates understanding of the key concepts and principles of linear equations and inequalities in two variables, systems of linear equation and inequalities in two variables and linear functions.
PERFORMANCE STANDARD The learner is able to formulate real-life problems involving linear equations and inequalities in two variables, systems of linear equation and inequalities in two variables and linear functions and solve these with utmost accuracy using variety of strategies.
TIME FRAME TOPICS LEARNING COMPETENCIES ASSESSMENT
Week 1 Graphs of Linear Equations in Two Variables
Defining a linear equation in two variables
Graphing a linear equation using a table of values
Using the intercept method
The learner...
M8AL-Ie-3 : illustrates linear equations in two variables.
defines a linear equation in two variables ax + by = c
constructs a table of values for x and y given a linear equation
draws the graph of ax + by = c based on a table of values for x and
Formative:
Board work
Recitations
Mixed-Pair-
Discuss
“DESCRIBE
ME!”
LAS 1: “Graphs
of Linear
y
defines x and y intercepts
graphs the linear equation ax + by = c using the intercept method
Equations in Two
Variables”
Summative
Reflection “Writing the Steps of Graphing the Linear Equation”
Long Test 1
Week 2 Slope of a Line
Defining the slope of a line
Finding the slope of a line, given two points on the line
Graphing a line using the slope and a point on the line
Parallel and Perpendicular Lines
The slope – intercept form of an equation of a line
The learner...
M8AL-Ie-4: illustrates the slope of a line.
M8AL-Ie-5: finds the slope of a line given two points, equation, and graph.
M8AL-If-1: writes the linear equation ax + by = c in the form y = mx + b and vice versa.
Formative:
Board work
Recitations
“Think-Pair-Share”
“STEEP ME”
LAS 2: “Slope of a Line”
Summative
Journal Writing
Long Test 2
Week 3 The Equation of a Line
Obtaining the equation of
a line, given a point and
the slope
Obtaining the equation of
a line given two points
Finding the equations of
vertical and horizontal
lines
The learner…
M8AL-If-2: graphs a linear equation
given (a) any two points; (b) the x –
and y – intercepts; (c) the slope and
a point on the line.
M8AL-If-3: describes the graph of a
linear equation in terms of its
intercepts and slope.
M8AL-Ig-1: finds the equation of a
line given (a) two points; (b) the
slope and a point; (c) the slope and
its intercepts.
Formative:
Board work
Recitations
Think-Pair-Share
“FILL IN THE
BOX”
“1-4-3 List”
LAS 3: “Slope of
a Line”
Summative
Journal Writing
“ Expressing
understanding of
the equation of a
line"
Long Test 3
Week 4 Problem Solving involving linear equations in two variables
The learner…
M8AL-Ig-2: solves problems involving linear equations in two variables
Formative:
Board work
Recitations
“Mixed-Pair-
Share”
“WORD
PROBLEMS”
Group Activity
LAS 4: “Slope of
a Line”
Summative
Journal Writing
Chapter Test
Week 5 Third Mid Quarter Examination
Week 6 Solving Systems of Linear Equation using Graphical Method
Writing a system of linear equations
Graphing a system of equations that has unique solution
Graphing a system of equations that has no solution
Graphing a system of equations that has an infinite number of solutions
The learner...
M8AL-Ih-1: illustrates a system of linear equations in two variables.
M8AL-Ih-2: graphs a system of linear equations in two variables.
M8AL-Ih-3: categorizes when a given system of linear equations in two variables has graphs that are parallel, intersecting, and coinciding.
M8AL-Ii-j-1: solves a system of linear equations in two variables by (a) graphing; (b) substitution; (c) elimination.
defines and describes systems of linear equations and inequalities using practical situations and mathematical expressions
Formative:
Board work
Recitations
“Mixed-Pair-
Share”
“MEET ME AT
THIS POINT IF
POSIBLE…”
LAS 5: “Solving Systems of Linear Equation using Graphical Method”
Summative
Journal Writing “Expressing understanding in solving systems of linear equation using graphical method”
Long Test 5
Performance Task
Week 7 Solving Systems of Equation by Substitution Solving Systems by Linear
The learner...
M8AL-Ii-j-1: solves a system of linear equations in two variables by
Formative:
Board work
Recitations
Combination (a) graphing ;(b) substitution; (c) elimination.
solves a system of linear equations in two variables in linear combinations and simultaneous equations.
Mixed-Pair-
Discuss
‘ELIMINATE
ONE TO FIND
THE OTHER
ONE”
LAS 6: “Solving
Systems of
Equation by
Substitution”
LAS 7: “Solving Systems by Linear Combination”
Summative
Reflection
Long Test 6
Week 8 Problem Solving Involving Simultaneous Equations
Number and geometric relations problems
Investment and mixture problems
Uniform motion and work problems
The learner...
translates word problems into systems of linear equations in two variables
solves problems involving systems of linear equations (e.g. number relations, uniform motion, geometric relations, mixture, investment, work)
Formative:
Board work
Recitations
“Mixed-Pair-
Share”
“SOLVE THEN
DECIDE”
LAS 8: “Problem Solving Involving Simultaneous Equations”
Summative
Reflection
Long Test 7
Week 9 Systems of Linear Inequalities
Defining a linear inequality in two variables
Graphing a linear inequality in two variables
Graphing a system of linear inequalities
The learner...
M8AL-IIa-1 22: illustrates linear inequalities in two variables.
M8AL-IIa-2: differentiates linear inequalities in two variables from linear equations in two variables.
M8AL-IIa-3 24: graphs linear inequalities in two variables.
M8AL-IIa-4: solves problems involving linear inequalities in two variables.
M8AL-IIb-1: solves a system of linear inequalities in two variables.
M8AL-IIb-2: solves problems involving systems of linear inequalities in two variables.
translates real – life situations to linear inequalities.
Formative:
Board work
Recitations
“Think-Pair-Share”
“A LINE OR HALF OF A PLANE?”
LAS 9: “Systems of Linear Inequalities”
Summative
Journal Writing “Expressing understanding of finding solutions of linear inequalities in two variables graphically and algebraically.”
Chapter Test
Week 10 Third Quarter Examination
SYLLABUS IN MATHEMATICS 8
FOURTH QUARTER
PROGRAM STANDARD The learner demonstrates understanding and appreciation of key concepts and principles of mathematics as applied - using appropriate technology - in problem solving, critical thinking, communicating, reasoning, making connections, representations, and decisions in real life.
GRADE LEVEL STANDARD The learner demonstrates understanding of key concepts and principles of patterns and algebra (factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables, systems of linear equations and inequalities in two variables); geometry (axiomatic structure of geometry, triangle congruence, inequalities in a triangle, and parallel and perpendicular lines) as applied - using appropriate technology - in critical thinking, problem solving, reasoning, communicating, making connections, representations, and decisions in real life.
CONTENT STANDARD The learner demonstrates understanding of the key concepts and principles of logic and reasoning, axiomatic structure of geometry, triangle congruence, inequalities in a triangle, and parallel and perpendicular lines.
PERFORMANCE STANDARD The learner is able to:
formulate an organized plan to handle a real-life situation.
communicate mathematical thinking with coherence and clarity in formulating, investigating, analyzing arguments, and solving real-life problems involving congruent triangles, triangle inequalities, and parallelism and perpendicularity of lines using appropriate and accurate representations.
TIME FRAME TOPICS LEARNING COMPETENCIES ASSESSMENT
Week 1 Introduction to Reasoning Euclid and Deductive Reasoning Preparing for a Proof
The learner...
M8GE-IIf-1: determines the relationship between the hypothesis and the conclusion of an if-then statement.
M8GE-IIf-2: transforms a statement
Formative:
Board work
“Think-Pair-Share”
LAS 1: ”Inductive and Deductive Reasoning”
LAS 2: “Conditional
into an equivalent if-then statement.
M8GE-IIg-1: determines the inverse, converse, and contrapositive of an if-then statement.
M8GE-IIg-2: illustrates the equivalences of: the statement and its contrapositive; and the converse and inverse of a statement.
distinguishes between inductive and deductive reasoning.
M8GE-IIh-1: uses inductive or deductive reasoning in an argument.
M8GE-IIi-j-1: writes a proof (both direct and indirect).
M8GE-IIIa-1: describes a mathematical system.
M8GE-IIIa-c-1: 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.
Statements”
LAS 3: “Properties of Equalities”
Summative
Reflection
Long Test 1
Week 2 Introduction to Geometric Proof Proving Angle Pair Relationships
The learner...
M8GE-IIi-j-1: writes a proof (both direct and indirect).
will be organized in writing proofs.
draws conclusion using the proven theorems
exercises logical reasoning
proves angle pair relationship.
Formative:
Board work
Recitations
Mixed-Pair-Discuss
LAS 4: “Geometric
Proofs”
LAS 5: “Angle Pair
develops critical thinking. Relationships” Summative
Reflection
Long Test 2
Week 3 Congruence and Congruent Triangles
The Idea of Congruence
Properties of Congruence
Angles and Sides of a Triangle
The angles of a Triangle
The Exterior angle of a Triangle
Congruence and Congruent Triangles
Side-Side-Side (SSS)
Postulate
Side-Angle-Side (SAS)
Postulate
The learner...
defines congruent triangles.
M8GE-IIId-1: states and illustrates
triangle congruence.
enumerates the corresponding
parts of two triangles.
exercises care in pairing the sides
and angle of two triangles.
identifies the included angle between two sides and included side between two angles of a triangle.
states the congruence postulates.
exercises care in pairing the sides
and angle of two triangles.
develops the conditions that
guarantee the congruence of
triangles.
M8GE-IIId-e-1: illustrates the SAS,
ASA and SSS congruence
postulates.
M8GE-IIIg-1: proves two triangles
are congruent.
uses triangle congruence
Formative:
Board work
Recitations
“Think-Pair-Share”
“PICTURE ANALYSIS”
LAS 6:“Congruent Figures”
LAS 7: “SSS Postulate”
LAS 8: “SAS Postulate”
Summative
Reflection
Long Test 3
Performance Task
conditions to prove congruence of
triangles.
Week 4: Congruence and Congruent Triangles
Angle-Side-Angle (ASA) Postulate
Side-Angle-Angle (SAA) Postulate
Problem Solving Involving Congruent Triangles
The learner…
states the congruence postulates.
exercises care in pairing the sides and angle of two triangles.
develops the conditions that guarantee the congruence of triangles.
M8GE-IIId-e-1: illustrates the SAS,
ASA and SSS congruence
postulates.
M8GE-IIIg-1: proves two triangles
are congruent.
uses triangle congruence
conditions to prove congruence of
triangles.
applies SSS, SAS, ASA and AAS
theorem in real life problems.
Formative:
Board work
Recitations
“Think-Pair-Share”
“KEEP RIGHT”
LAS 9: “ASA
Postulate”
LAS 10: “SAA
Postulate”
Summative
Reflection
“Expressing understanding of congruence and congruent triangles”
Chapter Test
Week 5 Fourth Mid Quarter Examination
Week 6 Corresponding Parts of Congruent Triangles Congruence in Right Triangles
Leg-Leg (LL) Theorem
Leg-Angle (LA) Theorem
Hypotenuse –Angle (HA) Theorem
Hypotenuse-Leg (HL)
The learner...
enumerates the corresponding parts of two triangle.
M8GE-IIIf-1: solves corresponding parts of congruent triangles
M8GE-IIIh-1 47: proves statements on triangle congruence.
identifies the parts of a right
Formative:
Board work
Recitations
Mixed-Pair-Discuss
“ITS MY TURN”
LAS 11: “Corresponding Parts of Congruent Triangles”
Theorem
triangle.
states the definition of congruent triangles.
applies deductive skills to show congruence between right triangles: a. LL Congruence b. LA Congruence c. HA Theorem d. HL Theorem
develops the skill of deductive logical reasoning in order to successfully prove triangles congruent.
LAS 12: “Using Isosceles and Equilateral Triangles”
Summative
Reflection
Long Test 5
Week 7 Using Isosceles and Equilateral Triangles A. Isosceles Triangles
Base Angles Triangles
Converse of Base Angles Theorem
B. Equilateral Triangles
Corollary to the Base Angles Theorem
Corollary to the Converse of Base Angles Theorem
Congruence in Overlapping Triangles Inequalities in a Triangle
Inequality Relationship in Triangle Theorem (IRT Theorem) /Angle-Side Inequality Theorem
The learner...
proves that a triangle is isosceles
proves that a triangle is equilateral
proves that overlapping triangles are congruent
applies the postulates and theorems on triangle congruence to prove statement on congruence involving overlapping triangles.
Formative:
Board work
Recitations
“Think-Pair-Share”
“WHAT ELSE”
LAS 13:“Congruence in Overlapping Triangles”
LAS 14: “Inequalities in a Triangle”
Summative
Reflection “Expressing understanding of using isosceles and equilateraltriangles”
Side-Angle Inequality Theorem
Long Test 6
Week 8 Parallelograms
Properties o f a Parallelogram
Using Properties of Parallelograms
Determining Parallelograms
The learner...
identifies the parts of a quadrilateral
recalls the different kinds of
quadrilaterals and identify those
that are parallelograms.
identifies the special types of quadrilaterals.
applies the properties of parallelograms to solve problems.
use properties to find measures of angles, sides, and other quantities involving parallelogram.
Formative:
Board work
Recitations
HIDE AND SEEK”
“Think-Pair-Share”
LAS 9: “Parallelograms”
Summative
Reflection
Long Test 6
Week 9 Properties of Rhombuses, Rectangles and Squares Using Properties of Trapezoids and Kites Midpoint Theorem and Intercept Theorem Problem Solving Involving Rhombuses, Rectangles and Squares
The learner...
identifies properties of rhombuses, rectangles and squares.
recognizes the parts and properties
of trapezoids and kites
uses the mid segment theorem and the. intercept theorem.
solves problems Involving Rhombuses, Rectangles and Squares
Formative:
Board work
Recitations
Mixed-Pair-Discuss
“PROVE SOME MORE… OKAY!”
LAS 15: “Properties of Rhombuses, Rectangles and Squares”
LAS 16:“Using
Properties of
Trapezoids and
Kites”
LAS 17: “Midpoint
Theorem and
Intercept Theorem”
Summative
Reflection: “Expressing understanding of properties of rhombuses, rectangles and square.”
Chapter Test
Week 10 Fourth Quarter Examination
