Tổng Quan Về Chương Trình
Các buổi họp nhóm
Học Toán cùng bạn bè đồng trang lứa
Các buổi học do giáo viên hướng dẫn
Tương tác và phản hồi theo thời gian thực với một giáo viên tận tâm
60 phút mỗi buổi
Đi sâu vào các chủ đề với các phiên tập trung kéo dài 60 phút
nhóm tuổi 13-14
Được thiết kế dành cho những người học tò mò trong nhóm tuổi 13-14
Chương Trình Bao Gồm Những Gì
120 bài học tương tác
hướng dẫn ngôn ngữ
Tiếng Anh
hướng dẫn ngôn ngữ
Truy cập trọn đời
tài liệu khóa học
Được xây dựng để thu hút
được trao khi hoàn thành
Tổng Quan Về Hoạt Động
Lớp 9
Nâng cao
Thanh thiếu niên giải phương trình, mô hình đa thức, phân tích dữ liệu và áp dụng lượng giác trong các dự án.
Mục Tiêu Học Tập
- Giải và vẽ đồ thị các phương trình bậc nhất, bậc hai và giá trị tuyệt đối
- Diễn giải và xây dựng các hàm cho mô hình hóa
- Phân tích và thực hiện phép toán với đa thức
- Phân tích dữ liệu và mối tương quan
Các Bài Học
Introduction to Variables and Expressions
Students will learn to identify variables and constants, write algebraic expressions, and interpret them in real-world contexts.
Writing Algebraic Expressions
Translate word phrases into algebraic expressions
Exploring Properties of Real Numbers
Students will explore and apply the commutative, associative, and distributive properties to simplify expressions and solve problems.
Solving Linear Equations
Solving One-Step Linear Equations
Students will learn to solve one-step linear equations using addition, subtraction, multiplication, or division, and justify their steps.
Create and solve equations from verbal problems
Students will learn to translate verbal descriptions into algebraic equations and solve them using appropriate strategies.
Cartesian Plane & Graphing Basics
Students will learn to locate, label, and plot points in the coordinate plane and understand quadrants and axes.
Solving Two-Step Linear Equations
Students will solve two-step linear equations by applying inverse operations in sequence.
Graphing Linear Equations
Explore rise/run, positive vs negative slope
Students will explore the concept of slope as a rate of change and determine slope from graphs or point pairs.
Graph equations using slope and intercept
Students will learn to graph linear equations using the slope-intercept form and analyze line characteristics.
Write equations from tables, graphs, or descriptions
Students will interpret data from graphs, tables, or contexts and write linear equations that model the data.
Systems of Equations
Solve two-variable linear systems graphically
Students will solve systems of equations by graphing both lines and identifying the point of intersection.
Use substitution to solve a system of equations
Students will solve systems of equations algebraically using the substitution method.
Add/subtract equations to eliminate variables
Students will learn to solve systems of linear equations using the elimination method by adding or subtracting equations.
Model and solve problems using systems
Students will apply systems of equations to model and solve real-life scenarios involving simultaneous unknowns.
Solving Linear Inequalities
Solving One- and Two-Step Inequalities
Students will solve one and two-step inequalities and graph the solution on a number line.
Solving Multi-Step Inequalities
Students will solve multi-step inequalities involving distribution, combining like terms, and inverse operations.
Understanding Compound Inequalities
Students will analyze and solve compound inequalities using “and” and “or” and graph their solution sets.
Solving Absolute Value Equations and Inequalities
Students will solve equations and inequalities involving absolute value and interpret solution cases.
Introduction to Functions
Identifying and Evaluating Functions
Students will identify relations and functions using graphs and mappings, and evaluate values using function notation in real-world contexts.
Domain, Range, and Variable Relationships
Students will determine the domain and range of functions and distinguish between dependent and independent variables in relationships.
Linear Functions
Calculating Slope and Graphing Linear
Students will calculate slope using various representations and graph linear functions using slope-intercept form.
Writing Linear Equations in Slope-Intercept Form
Students will write linear equations given slope and a point or two points, using slope-intercept form.
Exploring Parallel and Perpendicular Lines
Students will identify and write equations of lines that are parallel or perpendicular to a given line.
Analyzing Scatter Plots and Trend Lines
Students will interpret scatter plots, draw trend lines, and describe correlation.
Systems of Equations and Inequalities
Solving Systems by Graphing
Students will solve systems of linear equations graphically and interpret points of intersection.
Solving Systems Using Substitution
Students will solve systems of linear equations algebraically by isolating a variable and substituting into the other equation.
Solving Systems Using Elimination
Students will solve systems of equations by adding or subtracting equations to eliminate a variable.
Real-World Applications of Systems of Equations
Students will apply systems of linear equations to solve contextual problems involving cost, distance, or constraints.
Exponents and Exponential Functions
Understanding Laws of Exponents
Students will simplify expressions using exponent rules for multiplication, division, and powers.
Working with Scientific Notation
Students will write and operate with large and small numbers using scientific notation.
Exploring Exponential Growth and Decay
Students will model growth and decay situations using exponential functions and interpret parameters.
Polynomials and Factoring
Adding and Subtracting Polynomials
Students will add and subtract polynomials by combining like terms and simplifying expressions.
Multiplying Polynomials
Students will multiply monomials and polynomials using distributive property and area models, including special products like squares of binomials and differences of squares.
Factoring Trinomials
Students will factor trinomials of the form ax² + bx + c using trial and error or box method.
Solving Polynomial Equations
Students will solve polynomial equations by factoring and applying the zero product property.
Quadratic Functions and Equations
Graphing Quadratic Functions
Students will graph quadratic functions in standard form and identify vertex, axis of symmetry, and intercepts.
Solving Quadratics by Factoring
Students will solve quadratic equations by factoring expressions and applying the zero product property.
Solving Quadratics by Completing the Square
Students will learn to complete the square to rewrite and solve quadratic equations.
Using the Quadratic Formula
Students will use the quadratic formula to solve equations and interpret the discriminant for types of solution.
Radical Expressions and Equations
Operations with Radicals
Students will perform operations with radical expressions including addition, subtraction, multiplication, and simplification.
Solving Radical Equations
Students will solve equations involving radicals, check for extraneous solutions, and interpret real-world applications.
Rationalizing Denominators
Students will simplify radical expressions by rationalizing the denominator using conjugates or algebraic methods.
Introduction to Complex Numbers
Students will be introduced to imaginary numbers, learn the standard form of complex numbers, and perform basic operations.
Rational Expressions and Equations
Factoring Polynomials by GCF
Students will factor polynomial expressions by identifying and extracting the greatest common factor (GCF).
Factoring Trinomials and Grouping
Students will factor quadratic trinomials and use grouping techniques to factor four-term polynomials.
Factoring Special Cases
Students will factor special cases including perfect square trinomials and difference or sum of cubes using specific formulas.
Solving Polynomial Equations
Students will solve polynomial equations by factoring completely and applying the zero-product property.
Data Analysis and Probability
Representing and Organizing Data
Students will represent, organize, and interpret data using tables, graphs, and other visual displays.
Calculating Mean, Median, and Mode
Students will learn to calculate and interpret measures of central tendency: mean, median, and mode.
Understanding Range and Standard Deviation
Students will calculate the range and standard deviation to measure the spread of data.
Introduction to Probability
Students will explore probability as a measure of likelihood and calculate probabilities of single events.
Sequences and Series
Understanding Arithmetic Sequences
This lesson focuses on identifying and analyzing arithmetic sequences, helping students build fluency in finding common differences, writing general terms, and solving problems involving arithmetic patterns.
Understanding Geometric Sequences
This lesson emphasizes the recognition and manipulation of geometric sequences, including finding common ratios, general terms, and applications in exponential growth contexts.
Exploring Recursive Patterns in Sequences
Students will explore recursive rules in sequences, building their understanding of how previous terms define a sequence and how to generate terms using recursive definitions.
Summation Notation and Series
This lesson introduces summation notation and the concept of series, helping students calculate the sum of arithmetic and geometric series using formulas.
Advanced Topics
Introduction to Complex Numbers
Students will explore the definition of imaginary and complex numbers and represent them on the complex plane.
Operations with Complex Numbers
Students will perform addition, subtraction, multiplication, and division with complex numbers.
Quadratic Equations with Complex Solutions
Students will solve quadratic equations with non-real solutions and interpret complex roots.
Understanding Matrices
Students will learn the definition, dimensions, and structure of matrices and their applications.
Functions and Graphs
Understanding Functions and Their Representations
Students will explore functions through tables, graphs, and equations, distinguishing between functions and non-functions.
Introduction to Functions
Define a function and use various representations.
Function Notation and Evaluation
Students will write and evaluate functions using proper notation and input values, building fluency with expressions.
Domain and Range
Determine domain and range from graphs and equations.
Polynomials
Composing Functions
Students will explore function composition by evaluating and interpreting composite functions in context.
Function Operations
Students will perform arithmetic operations (add, subtract, multiply, divide) on functions and interpret effects.
Introduction to Polynomials
Students will explore polynomial expressions, identifying terms, degree, and classifying by number of terms.
Adding and Subtracting Polynomials
Students will practice combining polynomial expressions using addition and subtraction to simplify and solve.
Quadratic Functions
Identifying Features of Quadratic Graphs
This lesson introduces key features of quadratic functions such as the vertex, axis of symmetry, intercepts, and direction of opening using standard form.
Graphing Quadratics in Vertex Form
Students will graph quadratic functions given in vertex form and apply transformations such as shifts, reflections, and stretches to understand changes.
Solving Quadratics by Graphing
This lesson focuses on solving quadratic equations by graphing and identifying the x-intercepts (real roots) as solutions.
Real-World Applications of Quadratics
Students will explore how changes in quadratic coefficients affect the graph’s shape and interpret those changes in real-world scenarios like projectile motion.
Exponential and Logarithmic Functions
Exploring Exponential Growth and Decay
Students will explore real-world scenarios involving exponential growth and decay and model them using exponential functions.
Properties of Logarithms
Students will learn and apply the properties of logarithms, including product, quotient, and power rules to simplify expressions.
Solving Logarithmic Equations
Students will solve logarithmic equations using properties of logarithms and check for extraneous solutions.
Logarithmic and Exponential Applications
Students will apply exponential and logarithmic functions to solve real-life problems, including compound interest and population modeling.
Function Modeling and Applications
Modeling Real-World Situations with Functions
Students will build function models from real-world data and use them to make predictions and analyze relationships.
Complex Numbers
Understanding the Imaginary Unit
This lesson introduces the imaginary unit 'i', helping students understand how to simplify powers of i and represent imaginary numbers.
Adding and Subtracting Complex Numbers
This lesson helps students understand how to add and subtract complex numbers, using the concept of real and imaginary parts.
Multiplying and Dividing Complex Numbers
Students will multiply and divide complex numbers, applying the conjugate method for division and simplifying expressions.
Probability and Statistics
Introduction to Probability and Simple Events
Students will be introduced to basic probability concepts and learn how to calculate the probability of simple events using theoretical and experimental approaches.
Compound Probability and Sample Spaces
This lesson covers compound probability including dependent and independent events. Students will build sample spaces and apply the addition and multiplication rules.
Independent and Dependent Events
Students will explore how to differentiate between independent and dependent events and use formulas to calculate their respective probabilities.
Using Probability to Make Predictions
This lesson focuses on using probability to predict outcomes and inform decisions in real-world situations. Students will analyze the likelihood of events and refine models based on outcomes.
Trigonometry
Exploring Trigonometric Ratios and Graphs
This lesson introduces students to trigonometric functions and their graphs, exploring sine, cosine, and tangent ratios and their applications.
Inverse Trigonometric Functions
Students will explore the concept of inverse trigonometric functions and how they are used to determine angles given trigonometric values.
Trigonometric Identities and Equations
This lesson focuses on proving and applying trigonometric identities to simplify expressions and solve equations.
Solving Real-World Problems with Trigonometry
Students will apply trigonometric functions to solve real-world problems involving angles of elevation, depression, and harmonic motion.
Matrices
Introduction to Matrix Operations
Students are introduced to matrices and matrix operations including addition, subtraction, and scalar multiplication.
Multiplying Matrices and Applications
Students will multiply matrices and use the results to solve systems of equations and model real-world scenarios.
Inverses of Matrices
Students explore inverse matrices and their use in solving matrix equations and real-world problems.
Determinants and Cramer's Rule
Students calculate the determinant of 2x2 and 3x3 matrices and apply Cramer’s Rule to solve systems of equations.
Transformations and Inverses
Exploring Transformations of Functions
Students will explore the effects of various transformations (translations, reflections, stretches, compressions) on graphs of parent functions to develop a foundational understanding of function behavior.
Vertical and Horizontal Shifts
This lesson covers how vertical and horizontal shifts impact the graph of a function. Students analyze equations and predict how graphs will move.
Reflections and Stretching
Students will investigate how reflections over the x- and y-axes and vertical/horizontal stretches/compressions affect graphs of functions.
Introduction to Inverses of Functions
Students will be introduced to inverse functions and their graphical representation. They will learn the definition of an inverse and when a function has an inverse.
Foundations of Geometry
Points, Lines, and Planes
Introduction to geometric undefined terms.
Line Segments, Rays, and Angles
Defining and drawing segments, rays, angles.
Angle Types and Angle Measure
Acute, right, obtuse, straight angles and measuring them.
Segment Addition & Midpoint
Apply segment addition and find midpoints using formulas
Reasoning and Proof
Forming if-then statements, converses, contrapositives.
Logical statements
Structure of proofs with statements and reasons.
Proof structure, properties
Parallel and Perpendicular Lines
Alternate interior, corresponding, and other angle types.
Angle relationships
Understanding postulates and proving lines parallel.
Postulates, parallel lines
Use slope to prove perpendicularity.
Slope, perpendicular lines
Transformations
Translations
Introduction to translations on the coordinate plane.
Reflections
Reflecting figures over lines (x-axis, y-axis, and diagonals).
Rotations
Rotating figures about a point (90°, 180°, 270°).
Congruence through Transformations
Proving congruence using rigid motion sequences.
Congruent Triangles
Triangle Congruence: SSS and SAS
Use SSS and SAS postulates to prove triangle congruence.
Triangle Congruence: ASA, AAS, and HL
Use ASA, AAS, and HL theorems to prove triangle congruence.
Proving Parts of Congruent Triangles
Using CPCTC to justify congruent parts of congruent triangles.
Constructing Congruent Triangles
Draw congruent triangles using geometric tools and congruence conditions.
Similarity and Dilations
Introduction to Dilations
Explore dilations and scale factors on the coordinate plane.
Properties of Dilations
Understand how dilations affect figures and relationships between sides.
Define Similarity Using Transformations
Use rigid motions and dilations to define similarity.
AA Similarity Criterion
Prove triangle similarity using the AA criterion.
Similarity and Trigonometry
Properties of Similar Triangles
Apply proportionality to corresponding parts of similar triangles.
Triangle Proportionality Theorems
Understand and apply the Triangle Proportionality Theorem and its converse.
Introduction to Trigonometry
Define sine, cosine, and tangent in right triangles.
Trigonometric Ratios in Right Triangles
Solve right triangles using trigonometric ratios.
Circles
Basic Definitions and Parts of a Circle
Identify and describe parts of a circle such as radius, diameter, chord, and arc.
Tangents to a Circle
Explore the properties of tangents from a point outside the circle.
Arcs and Central Angles
Understand relationships between central angles and intercepted arcs.
Inscribed Angles and Their Properties
Investigate relationships between inscribed angles and arcs.
Circles and Coordinate Plane
Equation of a Circle
Write and graph the equation of a circle in the coordinate plane.
Completing the Square to Find the Equation
Use algebra to find circle equations from expanded forms.
Coordinate Geometry
Coordinate Proofs: Midpoints & Distance
Use coordinate geometry to prove segment relationships.
Coordinate Proofs: Triangles & Quadrilaterals
Use slope and distance formulas in triangle and quadrilateral proofs.
Distance and Midpoint Formulas
Use the coordinate plane to calculate distance and midpoint between points.
Slope and Line Relationships
Analyze slope to determine line parallelism and perpendicularity.
Polygons and Quadrilaterals
Classify Polygons and Their Angles
Explore types of polygons and interior/exterior angle sums.
Properties of Parallelograms
Study sides, angles, diagonals, and proofs related to parallelograms.
Properties of Rhombuses, Rectangles, Squares
Investigate properties of specific parallelograms.
Coordinate Proofs with Quadrilaterals
Use slope, distance, and midpoint to prove quad properties on a grid.
Area and Surface Area
Area of Triangles and Quadrilaterals
Calculate areas using standard and derived formulas.
Area of Composite Shapes
Break down complex figures into simple shapes to find area.
Area and Circumference of Circles
Use formulas to compute circle measurements.
Area of Sectors and Arc Lengths
Apply proportional reasoning to calculate arc length and sector area.
Surface Area and Volume
Surface Area of Prisms and Cylinders
Explore nets and surface area formulas for prisms and cylinders.
Volume of Prisms and Cylinders
Compute volumes using standard formulas.
Surface Area of Pyramids and Cones
Derive and use formulas for surface area of pyramids and cones.
Volume of Pyramids and Cones
Use volume formulas to solve problems involving pyramids and cones.
Modeling with Geometry
Apply Area and Volume in Modeling
Use geometry to solve real-world modeling problems.
Density and Geometry
Use area, volume, and density to solve real-world problems.
Geometry in Design Contexts
Explore how architects and engineers apply geometry in design.
Circles and Constructions
Constructing Circles and Tangents
Use compass and straightedge to construct circles and tangents.
Circle Theorems and Proofs
Prove theorems about angles and segments in circles.
Cyclic Quadrilaterals
Explore properties and angle relationships in cyclic quadrilaterals.
Transformations and Symmetry
Combining Rigid Transformations
Compose translations, reflections, and rotations.
Dilations and Similarity in the Plane
Analyze similarity transformations using dilation and rigid motions.
Using Similar Triangles in Proofs
Apply similarity criteria to justify side or angle relationships.
Circles in Algebra
Writing Equations of Circles
Find and write equations of circles in the coordinate plane.
Rewriting Circle Equations
Use completing the square to rewrite general equations in standard form.
Cumulative Applications
Geometry in Construction and Design
Apply concepts from geometry in practical contexts like architecture.
Polynomial & Rational Functions
Polynomial Functions Overview
Explore characteristics of polynomial functions.
Finding Zeros of Polynomials
Use factoring and synthetic division to find real zeros.
Graphing Polynomial Functions
Sketch graphs using end behavior, multiplicity, and turning points.
Polynomial Division
Perform long and synthetic division of polynomials.
Exponential & Logarithmic Functions
Introduction to Exponential Functions
Explore the form and properties of exponential functions.
Graphing Exponential Functions
Sketch exponential functions using transformations.
Applications of Exponential Growth
Apply exponential growth models to real-world contexts.
Introduction to Logarithms
Define logarithms as inverses of exponentials.
Trigonometric Functions
Radian and Degree Measure
Understand angles in both degrees and radians.
Unit Circle and Coordinate Values
Explore values of sine and cosine on the unit circle.
Sine, Cosine, and Tangent
Define and graph the primary trig functions.
Secant, Cosecant, and Cotangent
Define and graph the reciprocal trig functions.
Trig Identities & Equations
Proving Trigonometric Identities
Verify trig identities using algebraic manipulation.
Simplifying Trig Expressions
Simplify expressions using trig identities.
Double-Angle and Half-Angle Identities
Derive and use double-angle and half-angle formulas.
Solving Trig Equations Using Identities
Solve equations using identities and inverse functions.
Vectors and Complex Numbers
Introduction to Complex Numbers
Explore real, imaginary, and complex number operations.
Graphing on the Complex Plane
Represent complex numbers visually using vectors.
Polar Form of Complex Numbers
Convert between rectangular and polar forms.
De Moivre’s Theorem
Use De Moivre’s Theorem to find powers and roots of complex numbers.
Matrices and Systems
Introduction to Matrices
Learn basic matrix concepts and notation.
Matrix Addition and Scalar Multiplication
Perform operations with matrices.
Matrix Multiplication
Multiply matrices and understand conformability.
Determinants and Inverses
Calculate determinants and find matrix inverses.
Sequences, Series & Probability
Arithmetic Sequences
Define and analyze arithmetic sequences.
Geometric Sequences
Explore geometric sequences and growth patterns.
Series and Sigma Notation
Understand summation notation and evaluate series.
Arithmetic and Geometric Series
Explore formulas for sum of arithmetic and geometric series.
Chứng Chỉ
Foundations of Algebra
This Certificate of Achievement will be awarded on completion of Foundations of Algebra Module with high scores. All participants will be eligible for a Certificate of Participation.
Variables & Expressions
Algebraic Properties
Simplifying Expressions
Solving Linear Equations
This Certificate of Achievement will be awarded on completion of Solving Linear Equations Module with high scores. All participants will be eligible for a Certificate of Participation.
One-Step Equations
Multi-Step Equations
Word Equations
Graphing Linear Equations
This Certificate of Achievement will be awarded on completion of Graphing Linear Equations Module with high scores. All participants will be eligible for a Certificate of Participation.
Slope-Intercept Graphing
Tables to Graphs
Graph Interpretation
Systems of Equations
This Certificate of Achievement will be awarded on completion of Systems of Equations Module with high scores. All participants will be eligible for a Certificate of Participation.
Graphing Systems
Substitution Method
Elimination Method
Solving Linear Inequalities
This Certificate of Achievement will be awarded on completion of Solving Linear Inequalities Module with high scores. All participants will be eligible for a Certificate of Participation.
One-Step Inequalities
Multi-Step Inequalities
Compound Inequalities
Introduction to Functions
This Certificate of Achievement will be awarded on completion of Introduction to Functions Module with high scores. All participants will be eligible for a Certificate of Participation.
Function Identification
Function Notation
Domain & Range
Linear Functions
This Certificate of Achievement will be awarded on completion of Linear Functions Module with high scores. All participants will be eligible for a Certificate of Participation.
Slope & Rate of Change
Writing Linear Equations
Linear Models
Systems of Equations and Inequalities
This Certificate of Achievement will be awarded on completion of Systems of Equations and Inequalities Module with high scores. All participants will be eligible for a Certificate of Participation.
Systems Word Problems
Systems of Inequalities
Solution Regions
Exponents and Exponential Functions
This Certificate of Achievement will be awarded on completion of Exponents and Exponential Functions Module with high scores. All participants will be eligible for a Certificate of Participation.
Exponent Rules
Scientific Notation
Exponential Growth
Polynomials and Factoring
This Certificate of Achievement will be awarded on completion of Polynomials and Factoring Module with high scores. All participants will be eligible for a Certificate of Participation.
Polynomial Operations
Factoring Methods
Solving Polynomial Equations
Quadratic Functions and Equations
This Certificate of Achievement will be awarded on completion of Quadratic Functions and Equations Module with high scores. All participants will be eligible for a Certificate of Participation.
Quadratic Graphs
Factoring Quadratics
Quadratic Formula
Radical Expressions and Equations
This Certificate of Achievement will be awarded on completion of Radical Expressions and Equations Module with high scores. All participants will be eligible for a Certificate of Participation.
Simplifying Radicals
Rationalizing Denominators
Solving Radical Equations
Rational Expressions and Equations
This Certificate of Achievement will be awarded on completion of Rational Expressions and Equations Module with high scores. All participants will be eligible for a Certificate of Participation.
Simplifying Rationals
Rational Operations
Solving Rational Equations
Data Analysis and Probability
This Certificate of Achievement will be awarded on completion of Data Analysis and Probability Module with high scores. All participants will be eligible for a Certificate of Participation.
Data Displays
Measures of Center
Compound Probability
Sequences and Series
This Certificate of Achievement will be awarded on completion of Sequences and Series Module with high scores. All participants will be eligible for a Certificate of Participation.
Arithmetic Sequences
Geometric Sequences
Series Sums
Advanced Topics
This Certificate of Achievement will be awarded on completion of Advanced Topics Module with high scores. All participants will be eligible for a Certificate of Participation.
Complex Applications
Advanced Algebra
Mixed Review
Functions and Graphs
This Certificate of Achievement will be awarded on completion of Functions and Graphs Module with high scores. All participants will be eligible for a Certificate of Participation.
Function Transformations
Inverse Functions
Function Behavior
Polynomials
This Certificate of Achievement will be awarded on completion of Polynomials Module with high scores. All participants will be eligible for a Certificate of Participation.
Adding Polynomials
Multiplying Polynomials
Polynomial Division
Quadratic Functions
This Certificate of Achievement will be awarded on completion of Quadratic Functions Module with high scores. All participants will be eligible for a Certificate of Participation.
Vertex Form
Completing the Square
Quadratic Modeling
Exponential and Logarithmic Functions
This Certificate of Achievement will be awarded on completion of Exponential and Logarithmic Functions Module with high scores. All participants will be eligible for a Certificate of Participation.
Log Properties
Solving Exponentials
Solving Logarithms
Function Modeling and Applications
This Certificate of Achievement will be awarded on completion of Function Modeling and Applications Module with high scores. All participants will be eligible for a Certificate of Participation.
Model Selection
Real-World Functions
Interpreting Parameters
Complex Numbers
This Certificate of Achievement will be awarded on completion of Complex Numbers Module with high scores. All participants will be eligible for a Certificate of Participation.
Imaginary Unit
Complex Operations
Complex Plane
Probability and Statistics
This Certificate of Achievement will be awarded on completion of Probability and Statistics Module with high scores. All participants will be eligible for a Certificate of Participation.
Distributions
Expected Value
Statistical Inference
Trigonometry
This Certificate of Achievement will be awarded on completion of Trigonometry Module with high scores. All participants will be eligible for a Certificate of Participation.
Trig Ratios
Unit Circle
Trig Modeling
Matrices
This Certificate of Achievement will be awarded on completion of Matrices Module with high scores. All participants will be eligible for a Certificate of Participation.
Matrix Operations
Inverses & Determinants
Matrix Applications
Transformations and Inverses
This Certificate of Achievement will be awarded on completion of Transformations and Inverses Module with high scores. All participants will be eligible for a Certificate of Participation.
Function Shifts
Reflections & Stretches
Inverse Relations
Foundations of Geometry
This Certificate of Achievement will be awarded on completion of Foundations of Geometry Module with high scores. All participants will be eligible for a Certificate of Participation.
Points Lines Planes
Angle Relationships
Segment Properties
Reasoning and Proof
This Certificate of Achievement will be awarded on completion of Reasoning and Proof Module with high scores. All participants will be eligible for a Certificate of Participation.
Logical Statements
Proof Structure
Geometric Proofs
Parallel and Perpendicular Lines
This Certificate of Achievement will be awarded on completion of Parallel and Perpendicular Lines Module with high scores. All participants will be eligible for a Certificate of Participation.
Angle Pairs
Proving Parallel
Slope Perpendicularity
Transformations
This Certificate of Achievement will be awarded on completion of Transformations Module with high scores. All participants will be eligible for a Certificate of Participation.
Translations
Rotations
Reflections
Congruent Triangles
This Certificate of Achievement will be awarded on completion of Congruent Triangles Module with high scores. All participants will be eligible for a Certificate of Participation.
SSS & SAS
ASA & AAS
HL Congruence
Similarity and Dilations
This Certificate of Achievement will be awarded on completion of Similarity and Dilations Module with high scores. All participants will be eligible for a Certificate of Participation.
Dilations
Triangle Similarity
Scale Factors
Similarity and Trigonometry
This Certificate of Achievement will be awarded on completion of Similarity and Trigonometry Module with high scores. All participants will be eligible for a Certificate of Participation.
Similar Triangle Theorems
Right-Triangle Trig
Trig Word Problems
Circles
This Certificate of Achievement will be awarded on completion of Circles Module with high scores. All participants will be eligible for a Certificate of Participation.
Arcs & Angles
Tangents
Chords & Secants
Circles and Coordinate Plane
This Certificate of Achievement will be awarded on completion of Circles and Coordinate Plane Module with high scores. All participants will be eligible for a Certificate of Participation.
Circle Equation
Completing the Square
Center & Radius
Coordinate Geometry
This Certificate of Achievement will be awarded on completion of Coordinate Geometry Module with high scores. All participants will be eligible for a Certificate of Participation.
Distance Formula
Midpoint Formula
Coordinate Proofs
Polygons and Quadrilaterals
This Certificate of Achievement will be awarded on completion of Polygons and Quadrilaterals Module with high scores. All participants will be eligible for a Certificate of Participation.
Polygon Classification
Parallelogram Properties
Special Quadrilaterals
Area and Surface Area
This Certificate of Achievement will be awarded on completion of Area and Surface Area Module with high scores. All participants will be eligible for a Certificate of Participation.
Triangle & Quadrilateral Area
Circle Area
Composite Area
Surface Area and Volume
This Certificate of Achievement will be awarded on completion of Surface Area and Volume Module with high scores. All participants will be eligible for a Certificate of Participation.
Prism & Cylinder Volume
Pyramid & Cone Volume
Surface Area Formulas
Modeling with Geometry
This Certificate of Achievement will be awarded on completion of Modeling with Geometry Module with high scores. All participants will be eligible for a Certificate of Participation.
Geometry Applications
Measurement Modeling
Real-World Problems
Circles and Constructions
This Certificate of Achievement will be awarded on completion of Circles and Constructions Module with high scores. All participants will be eligible for a Certificate of Participation.
Constructions
Circle Proofs
Cyclic Quadrilaterals
Transformations and Symmetry
This Certificate of Achievement will be awarded on completion of Transformations and Symmetry Module with high scores. All participants will be eligible for a Certificate of Participation.
Rigid Motions
Symmetry
Similarity Transforms
Circles in Algebra
This Certificate of Achievement will be awarded on completion of Circles in Algebra Module with high scores. All participants will be eligible for a Certificate of Participation.
Rewriting Circle Forms
Equation Derivation
Algebraic Modeling
Cumulative Applications
This Certificate of Achievement will be awarded on completion of Cumulative Applications Module with high scores. All participants will be eligible for a Certificate of Participation.
Multi-Concept Problems
Modeling Scenarios
Strategy Selection
Polynomial & Rational Functions
This Certificate of Achievement will be awarded on completion of Polynomial & Rational Functions Module with high scores. All participants will be eligible for a Certificate of Participation.
Zeros & Factors
Rational Graphs
Discontinuities
Exponential & Logarithmic Functions
This Certificate of Achievement will be awarded on completion of Exponential & Logarithmic Functions Module with high scores. All participants will be eligible for a Certificate of Participation.
Growth & Decay
Logarithmic Models
Change of Base
Trigonometric Functions
This Certificate of Achievement will be awarded on completion of Trigonometric Functions Module with high scores. All participants will be eligible for a Certificate of Participation.
Trig Graphs
Inverse Trig
Radians & Degrees
Trig Identities & Equations
This Certificate of Achievement will be awarded on completion of Trig Identities & Equations Module with high scores. All participants will be eligible for a Certificate of Participation.
Identity Proofs
Solving Trig Equations
Sum & Difference
Vectors and Complex Numbers
This Certificate of Achievement will be awarded on completion of Vectors and Complex Numbers Module with high scores. All participants will be eligible for a Certificate of Participation.
Vector Operations
Dot Product
De Moivre’s Theorem
Matrices and Systems
This Certificate of Achievement will be awarded on completion of Matrices and Systems Module with high scores. All participants will be eligible for a Certificate of Participation.
Augmented Matrices
Row Reduction
Solving Systems
Sequences, Series & Probability
This Certificate of Achievement will be awarded on completion of Sequences, Series & Probability Module with high scores. All participants will be eligible for a Certificate of Participation.
Sigma Notation
Series Applications
Combinatorics
Hướng Dẫn Cho Phụ Huynh
Chương trình này phù hợp nhất cho trẻ em từ 7 tuổi trở lên. Trẻ nhỏ hơn sẽ cần sự hỗ trợ đáng kể của người lớn vì các bạn nhỏ làm quen với lập trình có thể sẽ gặp phải các vấn đề kỹ thuật phát sinh trong quá trình học.
Xếp hạng & Đánh giá
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Giúp người khác bằng cách viết đánh giá nhanh. ✏️
CB
My son has made great strides in math thanks to the Grade-9 Algebra I curriculum. The hands-on projects like the Start-Up Simulator keep him engaged and eager to learn.
MJ
My son has been learning Algebra I this year, and he loves the practical projects like the Start-Up Simulator. It's great to see him excited about math and using it in such creative ways!
HR
Grade-9 Algebra I pushed me to think outside the box. I loved working in groups to solve real-world problems using math concepts like graphing functions.
EY
The projects in Grade-9 Algebra I were engaging! Analyzing datasets for correlation made math feel relevant and exciting for my future.
EJ
My child thrived in the Grade-9 Algebra I course. The Start-Up Simulator project allowed him to develop both his math and communication skills effectively.
YA
In our Algebra I class, we tackled real-world math problems. The Start-Up Simulator allowed me to connect with the subject in a very engaging way.
RS
Grade-9 Algebra I has been an enlightening journey for me. I benefited from interactive learning through our project on linear and quadratic functions.
CH
I appreciate how my child is learning math through real-world projects like the Start-Up Simulator in Grade-9 Algebra I. It makes the subject more relatable.
GC
I enjoyed exploring quadratic functions in Grade-9 Algebra I. The combination of theory and projects made the subject come alive for me.
LT
The projects in my Grade-9 Algebra I class made learning enjoyable. I particularly liked graphing and analyzing quadratic functions in various activities.
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120
Group Các lớp học
₫61000000 per course
Chưa bao gồm thuế
Buổi học trực tiếp qua video
Dành cho độ tuổi 8-12 13-14
60 phút
Những Câu Hỏi Thường Gặp
Các khóa học của BrightCHAMPS dành cho độ tuổi nào?
Tất cả các chương trình học của BrightCHAMPS đều được thiết kế dành cho trẻ em từ 6 đến 16 tuổi, với lộ trình học rõ ràng, phù hợp với độ tuổi và trình độ của từng bé. Để đạt hiệu quả học tốt nhất, chúng tôi khuyến khích mỗi tuần nên học ít nhất 2 buổi (mỗi buổi khoảng 1 tiếng).
Cần thiết bị hoặc phần mềm gì để tham gia lớp học?
Một máy tính xách tay hoặc máy tính để bàn cơ bản có kết nối internet là đủ. Các buổi học thường diễn ra qua Zoom. Nếu cần cài đặt thêm nền tảng nào khác, chúng tôi sẽ hướng dẫn cụ thể trước khi khóa học bắt đầu.
Tôi có thể đổi lịch hoặc hủy buổi học nếu cần không?
Hoàn toàn có thể. Bạn có thể thay đổi hoặc hủy lớp học ít nhất 2 tiếng trước giờ học thông qua Bảng điều khiển Học sinh, tùy theo thời gian và nhu cầu học của con bạn.
Con tôi có cần biết trước kiến thức gì không?
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Tôi có thể nhận bản ghi hình các buổi học cho con mình không?
Để đảm bảo quyền riêng tư của học sinh, chúng tôi không cung cấp bản ghi hình. Tuy nhiên, sau mỗi buổi học, chúng tôi sẽ chia sẻ ghi chú chi tiết, dự án và các hoạt động để các em có thể ôn tập theo tốc độ riêng của mình.
Có bài tập về nhà hay yêu cầu luyện tập thêm bên ngoài không?
Mặc dù không bắt buộc phải làm bài tập về nhà, chúng tôi khuyến khích các nhiệm vụ luyện tập tùy chọn, dự án hoặc trò chơi nhằm củng cố kiến thức đã học, giúp trẻ áp dụng vào thực tế một cách vui vẻ và hấp dẫn.