学习路径
📐
学习路径
Integrated Math I (Honors)
Math Academy official course import: Integrated Math I (Honors)
226 节课
课程大纲
- 1.Equations & Inequalities
- 1.1.1. Linear Equations
- 2.1.2. Modeling With Linear Equations
- 3.1.3. Linear Inequalities
- 1Solving Compound Inequalities
- 2Interval Notation
- 3Unbounded Intervals
- 4Unions of Intervals
- 5Intersections of Intervals
- 6Compound OR Inequalities
- 7Compound AND Inequalities
- 8Introduction to Modeling With Inequalities
- 9Modeling With One-Step Inequalities
- 10Modeling With Two-Step Inequalities
- 11Modeling With Compound Inequalities
- 1
- 4.1.4. Nonlinear Equations
- 2.Two-Variable Equations & Inequalities
- 1.2.1. Graphs of Linear Equations
- 2.2.2. Modeling With Two-Variable Linear Equations
- 1Modeling With Linear Equations in Two Variables
- 2Modeling Totals Using Two-Variable Linear Equations
- 3Analyzing and Interpreting Graphs of Linear Equations
- 4Further Modeling With Linear Equations in Two Variables
- 5Distance-Time Graphs
- 6Calculating Acceleration From a Speed-Time Graph
- 7Calculating Distance From a Speed-Time Graph
- 1
- 3.2.3. Systems of Equations
- 1Introduction to the Elimination Method
- 2Solving Systems of Linear Equations Using Elimination: One Transformation
- 3Solving Systems of Linear Equations Using Elimination: Two Transformations
- 4Systems of Linear Equations With Fractional Coefficients
- 5Systems of Linear Equations With Decimal Coefficients
- 6Systems of Equations With No Solutions and Infinitely Many Solutions
- 7Consistency and Dependency in Linear Systems
- 8Calculating the Intersection of Two Lines
- 9Modeling Using Systems of Linear Equations
- 10Modeling Coin Problems Using Systems of Linear Equations
- 11Solving Systems of Nonlinear Equations Using Graphs
- 12Approximating Solutions to Systems of Linear Equations
- 13Approximating Solutions to Systems of Nonlinear Equations
- 1
- 4.2.4. Two-Variable Linear Inequalities
- 1Graphing Strict Two-Variable Linear Inequalities
- 2Graphing Non-Strict Two-Variable Linear Inequalities
- 3Further Graphing of Two-Variable Linear Inequalities
- 4Systems of Linear Inequalities
- 5Modeling With Two-Variable Linear Inequalities
- 6Modeling With Systems of Linear Inequalities
- 7Modeling and Solving Systems of Linear Inequalities Using Technology
- 1
- 3.Units
- 1.3.1. Working With Units
- 1Unit Conversions Using Base Units of Mass
- 2Unit Conversions Using Base Units of Length
- 3Unit Conversions Using Units of Time
- 4Two-Step Unit Conversions
- 5Converting Units of Area to Smaller Units
- 6Converting Units of Area to Larger Units
- 7Converting Between Mixed Units
- 8Determining Units in Formulas
- 9Selecting Units for Rates of Change
- 10Degrees of Accuracy
- 1
- 2.3.2. Direct and Inverse Variation
- 4.Radicals and Rationals
- 1.4.1. Radical Expressions
- 1Writing Radical Expressions Using Fractional Exponents
- 2The Square Root of a Perfect Square With Algebraic Expressions
- 3The Square Root of a Perfect Square With Domain Restrictions
- 4The Cube Root of a Perfect Cube With Algebraic Expressions
- 5Simplifying Square Root Expressions Using the Product Rule
- 6Combining Radical Expressions Using the Product Rule
- 7Simplifying Square Root Expressions Using the Quotient Rule
- 8Evaluating Algebraic Radical Expressions
- 9Adding and Subtracting Radical Expressions
- 1
- 2.4.2. Rational Expressions
- 3.4.3. Rational Equations
- 5.Functions
- 1.5.1. Functions
- 1Introduction to Functions
- 2Visual Representations of Functions
- 3Graphs of Functions
- 4The Domain of a Function
- 5The Vertical Line Test
- 6Global Extrema of Functions
- 7End Behavior of Functions
- 8The Range of a Function
- 9The Range of a Function: Advanced Cases
- 10The Roots of a Function
- 11Increasing and Decreasing Functions
- 12Piecewise Functions
- 13Modeling With Linear Functions
- 14Constructing Linear Functions
- 1
- 6.Absolute Value
- 1.6.1. Absolute Value Expressions, Equations & Inequalities
- 7.Exponents
- 1.7.1. Rules of Exponents
- 1The Product Rule for Exponents With Algebraic Expressions
- 2The Quotient Rule for Exponents With Algebraic Expressions
- 3The Power Rule for Exponents With Algebraic Expressions
- 4The Power of Product Rule With Algebraic Expressions
- 5The Power of Quotient Rule With Algebraic Expressions
- 6Combining the Rules of Exponents With Algebraic Expressions
- 1
- 2.7.2. Exponential Expressions and Equations
- 3.7.3. Exponential Functions
- 1Exponential Functions
- 2Modeling Exponential Growth With Functions
- 3Interpreting Exponential Growth
- 4Solving Exponential Growth Problems
- 5Modeling Exponential Decay With Functions
- 6Interpreting Exponential Decay
- 7Solving Exponential Decay Problems
- 8Linear vs. Exponential Growth and Decay
- 9Linear vs. Exponential Growth and Decay Models
- 10Graphing Exponential Growth Functions
- 11Graphing Exponential Decay Functions
- 1
- 8.Polynomials
- 1.8.1. Polynomials
- 1Introduction to Polynomials
- 2The Degree of a Polynomial
- 3Simplifying Polynomials
- 4The Distributive Law for Polynomials
- 5Adding and Subtracting Polynomials
- 6Monomials, Binomials and Trinomials
- 7Multiplying Binomials
- 8Multiplying Polynomials
- 9Squaring Binomials
- 10Expanding Binomials Using Pascal's Triangle
- 11The Difference of Squares Formula
- 1
- 2.8.2. Factoring Polynomials
- 1The Greatest Common Factor of Two Monomials
- 2Factoring Polynomials Using GCFs
- 3Factoring Perfect Square Trinomials
- 4Factoring Perfect Square Trinomials With Leading Coefficients
- 5Factoring Differences of Squares
- 6Factoring Trinomials
- 7Factoring Trinomials Using Common Factors
- 8Factoring Trinomials With Leading Coefficients
- 9Further Factoring Trinomials With Leading Coefficients
- 1
- 9.Sequences
- 1.9.1. Introduction to Sequences
- 2.9.2. Arithmetic Sequences
- 1Arithmetic Sequences
- 2Recursive Formulas for Arithmetic Sequences
- 3The Nth Term of an Arithmetic Sequence
- 4Translating Between Explicit and Recursive Formulas for Arithmetic Sequences
- 5Finding the Common Difference of an Arithmetic Sequence
- 6Finding the Nth Term of an Arithmetic Sequence Given Two Terms
- 7Determining Indexes of Terms in Arithmetic Sequences
- 8Solving for Variables in Arithmetic Sequences
- 9Modeling With Arithmetic Sequences
- 1
- 10.Geometry
- 1.10.1. Geometric Proofs
- 2.10.2. Geometric Transformations
- 1Translations of Geometric Figures
- 2Rotations of Geometric Figures
- 3Rotating Objects in the Coordinate Plane Using Functions
- 4Reflections of Geometric Figures in the Cartesian Plane
- 5Reflections of Figures Across Arbitrary Lines
- 6Dilations of Geometric Figures
- 7Dilations of Figures in the Coordinate Plane
- 8Stretches of Geometric Figures
- 9Combining Stretches of Geometric Figures
- 10Combining Geometric Transformations
- 11Reflective Symmetry
- 12Rotational Symmetry
- 1
- 3.10.3. Congruence
- 4.10.4. Triangles
- 5.10.5. Circles
- 1Circles
- 2Arcs, Segments, and Sectors of Circles
- 3The Circumference of a Circle
- 4Areas of Circles
- 5Central Angles and Arcs
- 6Calculating Arc Lengths of Circular Sectors
- 7Calculating Areas of Circular Sectors
- 8Further Calculating Areas of Sectors
- 9Problem Solving With Circles
- 10Circles Inscribed in Squares
- 11Squares Inscribed in Circles
- 1
- 6.10.6. Coordinate Geometry
- 1Parallel Lines in the Coordinate Plane
- 2Finding Equations of Parallel Lines
- 3Perpendicular Lines in the Coordinate Plane
- 4Finding Equations of Perpendicular Lines
- 5Midpoints in the Coordinate Plane
- 6Partitioning Line Segments
- 7The Distance Formula
- 8The Shortest Distance Between a Point and a Line
- 9Calculating Perimeters in the Plane
- 10Calculating Areas of Rectangles in the Plane
- 11Calculating Areas of Triangles and Quadrilaterals in the Plane
- 1
- 11.Statistics