Integer Numbers

• Positive or negative integer: mixed review
• Understanding opposite integers
• Identify the opposite integer
• Distance to zero for integer numbers
• Distance between two integers
• Properties of integer numbers

Operations with Integer numbers

• Mutiply integers by (-1)
• Add, subtract, mutiply and divide integer numbers
• Apply addition and subtraction rules
• Apply multiplication and division rules
• Complete the equations with integer numbers
• Simplify the addition and subtraction expressions
• Simplify the multiplication and division expressions
• Add and subtract three or more integers
• Mutiply three or more integers
• Complete addition sentences with integers
• Complete subtraction sentences with integers
• Complete mutiplication sentences with integers
• Complete division sentences with integers
• Simplify numerical expressions involving integers
• Evaluate numerical expressions involving integers

Rational numbers

• Understand rational numbers
• Identify rational numbers
• Read rational numbers on number lines
• Rational numbers that shown by number line
• Compare rational numbers

Operations with rational numbers

Number theory

• Identify Number sets (N, Z and Q)
• Determining the Number System
• Prime or composite number : mixed review

Exponent and roots

• Sing of square and cube of integer numbers

Percentage

• Compare fractions, decimals and percents

Ratio and proportions

• Identifying types of proportions
• Rate of change

Number sequences

Expressions and properties

• Evaluat numerical expressions involving fraction
• Evaluat numerical expressions involving exponent
• Evaluat numerical expressions involving root
• Write variable rational expressions :word problem
• Evaluate rational expressions
• Write multi-variable expressions:word problem
• Evaluate multi-variable expressions
• Standard algebraic identities (a + b)2
• Standard algebraic identities (a - b)2
• Standard algebraic identities a2 - b2
• Standard algebraic identities ( x + a)(x + b)
• Standard algebraic identities ( x + a)(x – b)
• Standard algebraic identities ( x – a)(x – b)
• Standard algebraic identities ( a + b)3
• Simplify algebraic expressions using algebraic identities
• Factoring algebraic expressions using algebraic identities
• Add and subtract like terms
• Linear and non linear expressions
• Factors of linear expressions
• Identify equivalent linear expressions

Polynomials

• Addition of monomials
• Subtraction of monomials
• Multiplying two binomials
• Multiplying a monomial and a binomial
• Multiplying a binomial and a trinomial
• Square of a binomial
• Cube of a binomial
• Common factors
• Difference of two squares
• Factoring by grouping
• Perfect square trinomial
• Dividing polynomials using long division
• Dividing polynomials using synthetic division
• Factors polynomials using any method
• Converting polynomials to lower-order binomials

One-variable equations

• Equations with Parentheses
• Solve one-step equations

One-variable inequalities

• Graphing solutions of linear inequalities

Two-variable equations

• Write two-variable equations from words

Linear equations

• Writing linear equations in standard form
• Writing linear equation in slope-intercept form
• Writing linear equations given slope and y-intercept
• Writing linear equations given two points
• Solving for values of x
• Solving for values of y
• Types of systems of linear equations
• Solving systems of linear equations by elimination method
• Solving systems of linear equations by substitution method

Quadratic equations

• Graphing Quadratic Equations

Math logic

• Illustrating propositions
• Identifying simple propositions
• Identifying compound propositions
• Identifying logical operators
• Identifying types of conditional propositions
• Determining converse of a conditional statement
• Determining inverse of a conditional statement
• Determining contrapositive of a conditional statement

Charts and Graphs

• Organizing data using contingency tables
• Organizing data using frequency tables
• Organizing data using line graphs
• Organizing data using bar graphs
• Organizing data using area graphs
• Organizing data using Pie Charts
• Organizing data using pictographs
• Organizing data using scatter plots

Introduction to functions

• Identifying Relations
• Identifying Functions
• Identifying if given relations are functions
• Identifying domain of a function
• Identifying range of a function
• Types of functions
• Identifying increasing functions
• Identifying decreasing functions

Coordinate plane System

• Characteristics of the Cartesian Plane
• Plotting Points on the Cartesian Plane

Set theory

• Defining sets
• Cardinality of sets
• Types of sets
• Illustrates union of events
• Illustrates intersection of events
• Illustrates mutually exclusive events
• Properties of complementary sets
• Computing probability of mutually exclusive events

Geometry

• Definition of terms (point, line, plane)
• Describing a point
• Describing a line
• Describing a plane
• Identifying line segments
• Identifying rays
• Defining postulates
• Defining theorems
• Identifying angles
• Find values of angles
• Pythagorean theorem
• Find values in a right triangle using pythagorean theorem

Quadrilaterals

• Properties of square
• Perimeter and area of square : word problem
• Problem solving Involving squares
• Properties of rectangles
• Perimeter and area of rectangles: word problem
• Problem solving Involving rectangle
• Properties of trapezoid
• Perimeter and area of trapezoid: word problem
• Problem solving involving trapezoid
• Properties of parallelogram
• Perimeter and area of parallelogram : word problem
• Problem solving involving parallelogram
• Properties of rhombus
• Perimeter and area of rhombus: word problem
• Properties of kite
• Perimeter and area of kite: word problem
• Problem solving involving kite

Circles

• Identifying properties of circles
• Illustrating tangents of a circle
• Find length of segments or sectors of a circle
• Circumference and area of circle: word problem

Triangles

• Properties of Triangle
• Perimeter and area of Triangle : word problem
• Problem Solving Involving Triangles
• Proving triangle congruence by RHS (right, hypotenuse, side)
• Proving triangle congruence by SSS (side,side, side)
• Proving triangle congruence by SAS (side,angle, side)
• Proving triangle congruence by AAS (angle, angle, side)
• Proving triangle similarity by AAA (angle, angle, angle)
• Proving triangle similarity by SSS (side, side, side)
• Solves corresponding parts of congruent triangles

Triangle Inequality

• Identifying Theorems of Triangle Inequality
• Proves Triangle Inequality

Introduction to trigonometry

• Unit Circle
• Identifying sine
• Identifying cosine
• Identifying tangent
• Identifying tangent 45-45-90 triangle

Parallel lines cut by a transversal

• Defining parallel and transversal lines
• Identifying Angles Lying on the Same Side of the Transversal
• Identifying pairs of alternate interior angles
• Identifying pairs of corresponding angles
• Identifying pairs of co-interior angles
• Find angle measurement

Three-dimensional Shapes

• Surface area of cube: word problem
• Volume of cube: word problem
• Problem Solving Involving Cube
• Surface Area of Rectangular Prism: word problem
• Volume of Rectangular Prism: word problem
• Problem Solving Involving Rectangular Prism
• Surface Area of Square Pyramid: word problem
• Volume of Square Pyramid: word problem
• Problem solving involving square pyramid
• Surface area of sphere: word problem
• Volume of sphere: word problem
• Problem solving involving sphere

Transformations

• Central symmetry
• Properties of Central symmetry
• Identify reflections, rotations and translations
• Translations: graph the image
• Translations: find the coordinates
• Reflections: graph the image
• Reflections: find the coordinates
• Rotations: graph the image
• Rotations: find the coordinates
• Dilations: graph the image
• Dilations: find the coordinates
• Dilations: scale factor and classification

Probability

• Illustrating Probability
• Counts the number of occurrences of an outcome in an experiment by Table
• Counts the number of occurrences of an outcome in an experiment byTree Diagram
• Counts the number of occurrences of an outcome in an experiment by Fundamental Principles of Counting
• Computes Fundamental Principle of Counting
• Solves problems involving Fundamental Principle of Counting
• Illustrates an experimental probability and a theoretical probability
• Solves problems involving probabilities of simple events
• Illustrates permutation
• Computes for permutations of n objects taken r at a time
• Solves problems involving permutation
• Illustrates combination
• Differentiates permutation from combination
• Computes for combinations of n objects taken r at a time
• Solves problems involving combination

Statistics

• Defining quantitative and qualitative data
• Defining the mean
• Defining the median
• Calculating the median
• Defining the mode
• Identifying outliers
• Solving problems involving mean
• Solving problems involving median
• Solving problems involving mode
• Defining the range
• Calculating the range
• Defining percentiles
• Calculating percentiles
• Defining quartiles
• Calculating quartiles
• Defining standard deviation
• Calculating standard deviation
• Defining variance
• Calculating variance
• Solving problems involving percentiles