Course Outline
Course Outline
Grade 7- Mathematics
UNIT I. Number and Number Sense
A. Sets
-Definition
-Elements of a Set
-Indicating a Set
-Number of Elements in a Set
-Methods of Describing or Writing a Set
-Correspondence of Sets
-Equality of Sets
-Disjoint Sets
-Subsets
-Universal Set
-Complimentary Sets
-Intersection of Sets
-Union of Sets
B. Real Numbers -Real Number System -Properties of Real Numbers -Whole Numbers and Their Operations -Integers:Opposites and Absolute Values -Adding Integers -Subtracting Integers -Multiplying and Dividing Integers -Fractions and Their Operations -Decimals and Their Operations -Square Root
UNIT II. Measurements and Algebra
A. Measurements
-Historical Development of Measurement
-Measuring Instruments
-Converting Measurements
-Ratio and Measurements
- Rounding Measurements
B. Algebra (Algebraic Expressions)
-Terminology
-Simplifying Numerical Expressions
-Evaluating Algebraic Expressions
-Verbal Phrases and Algebraic Expressions
-The Laws of Exponents
-Scientific Notation
-Addition and Subtraction of Polynomials
-Multiplication of Polynomials
-Division of Polynomials
UNIT III. Geometry
A. Points, Lines, Planes and Space
-Points on a Line
-Distance Between Two Points
-Postulates on Points and Lines
-Convex Sets
-Theorems on Points and Lines
B. Shapes
-Triangles
Properties of Triangles
Triangle Congruence
Isoscleles Triangle
Congruent Right Triangles
-Polygons
Polygon Sum
Parallelograms
Properties of Special Prallelograms
Properties of Trapezoid and Kites
Midsegments
-Circles
Arcs and Angles
Chord Properties
Properties of Chors, Secants, and Tangents
More properties of Secant and Tangent Lines
Circumference and Area of a Circle
Arc Length of a Circle
Areas of a Circle
C. Figures and Sizes
-Angle Relationships
-Parallel Lines Cut by a Transversal
-Areas of Trinagles and Quadrilaterals
-Volumes of Prisms, Cylinder, Cones, and Pyramids
UNIT IV.
Grade 7- Mathematics
UNIT I. Number and Number Sense
A. Sets
-Definition
-Elements of a Set
-Indicating a Set
-Number of Elements in a Set
-Methods of Describing or Writing a Set
-Correspondence of Sets
-Equality of Sets
-Disjoint Sets
-Subsets
-Universal Set
-Complimentary Sets
-Intersection of Sets
-Union of Sets
B. Real Numbers -Real Number System -Properties of Real Numbers -Whole Numbers and Their Operations -Integers:Opposites and Absolute Values -Adding Integers -Subtracting Integers -Multiplying and Dividing Integers -Fractions and Their Operations -Decimals and Their Operations -Square Root
UNIT II. Measurements and Algebra
A. Measurements
-Historical Development of Measurement
-Measuring Instruments
-Converting Measurements
-Ratio and Measurements
- Rounding Measurements
B. Algebra (Algebraic Expressions)
-Terminology
-Simplifying Numerical Expressions
-Evaluating Algebraic Expressions
-Verbal Phrases and Algebraic Expressions
-The Laws of Exponents
-Scientific Notation
-Addition and Subtraction of Polynomials
-Multiplication of Polynomials
-Division of Polynomials
UNIT III. Geometry
A. Points, Lines, Planes and Space
-Points on a Line
-Distance Between Two Points
-Postulates on Points and Lines
-Convex Sets
-Theorems on Points and Lines
B. Shapes
-Triangles
Properties of Triangles
Triangle Congruence
Isoscleles Triangle
Congruent Right Triangles
-Polygons
Polygon Sum
Parallelograms
Properties of Special Prallelograms
Properties of Trapezoid and Kites
Midsegments
-Circles
Arcs and Angles
Chord Properties
Properties of Chors, Secants, and Tangents
More properties of Secant and Tangent Lines
Circumference and Area of a Circle
Arc Length of a Circle
Areas of a Circle
C. Figures and Sizes
-Angle Relationships
-Parallel Lines Cut by a Transversal
-Areas of Trinagles and Quadrilaterals
-Volumes of Prisms, Cylinder, Cones, and Pyramids
UNIT IV.
References: Calderon, J. (2009) Basic Mathematics I. Cubao, Quezon City. Great Books Trading Manalo, C. and Orines, F. (2007) Elementary Algebra I. 2nd Ed. Quezon City. Phoenix Publishig House, Inc. Cabansay, Myrna, Bolster, L. Carey and Woodburn, H. Douglas. (1986) Fundamental Mathematics. 2nd Ed. Metro Manila. Academe Publishing House Benes, S. and Blanco, N. (1996) Fundamentals of Maths III. Quezon City. FNB Educational, Inc. Concepcion, M.J., Mutuc, S.A. and Sacluti, J. (2007) Geometry III. Quezon City. Phoenix Publishing House, Inc.