Grade 10 Math.

Lesson 1: Oblique Triangles and Side-Angle CorrespondenceLesson 2: The Law of Sines Ratio and Triangle Information TypesLesson 3: Solving ASA and AAS Oblique Triangles Using the Law of SinesLesson 4: Solving SSA Triangles and the Ambiguous CaseLesson 5: Validity Checks and Indirect Measurement with the Law of SinesLesson 6: Chapter 1 review

Lesson 1: Oblique Triangles and Side-Angle Correspondence

Lesson 7: SSA Triangle Data and the Source of AmbiguityLesson 8: Height-Based Conditions for SSA TrianglesLesson 9: Finding the First Possible Angle with the Law of SinesLesson 10: Testing Supplementary Angles in Ambiguous SSA TrianglesLesson 11: Completing and Verifying All Valid SSA Triangle SolutionsLesson 12: Chapter 2 review

Lesson 7: SSA Triangle Data and the Source of Ambiguity

Lesson 13: Law of Cosines Formula and Its Connection to the Pythagorean TheoremLesson 14: SAS Triangles: Finding a Missing Side with an Included AngleLesson 15: SSS Triangles: Finding Missing Angles from Three Side LengthsLesson 16: Checking Triangle Validity and Accuracy in Law of Cosines SolutionsLesson 17: Modeling Distance Problems with the Law of CosinesLesson 18: Chapter 3 review

Lesson 13: Law of Cosines Formula and Its Connection to the Pythagorean Theorem

Lesson 19: Compass Bearings, Quadrantal Bearings, and AzimuthsLesson 20: Constructing Triangle Models from Bearing and Distance DataLesson 21: Navigation Routes Solved with the Law of CosinesLesson 22: Surveying Landmark Distances with the Law of SinesLesson 23: Finding Final Bearings and Directional Angles from Solved TrianglesLesson 24: Chapter 4 reviewLesson 25: Final review of the whole textbook

Lesson 19: Compass Bearings, Quadrantal Bearings, and Azimuths

Lesson 1: Structure of the Cartesian PlaneLesson 2: Ordered Pairs and Coordinate MeaningLesson 3: Quadrants and Sign Patterns of CoordinatesLesson 4: Plotting and Naming Points in the Coordinate PlaneLesson 5: Relative Position and Distance from the AxesLesson 6: Chapter 1 review

Lesson 1: Structure of the Cartesian Plane

Lesson 7: Translations as Horizontal and Vertical DisplacementLesson 8: Coordinate Rules for TranslationsLesson 9: Image and Preimage Points Under a TranslationLesson 10: Translating Polygons by Their VerticesLesson 11: Translation Vectors and Preserved Figure PropertiesLesson 12: Chapter 2 review

Lesson 7: Translations as Horizontal and Vertical Displacement

Lesson 13: Line of Reflection, Preimage, and Image PointsLesson 14: Reflection Across the x-AxisLesson 15: Reflection Across the y-AxisLesson 16: Reflections Across Lines Parallel to the AxesLesson 17: Reflection Across the Line y = xLesson 18: Chapter 3 review

Lesson 13: Line of Reflection, Preimage, and Image Points

Lesson 19: Rotation as a Turn Around a Fixed CenterLesson 20: Angle and Direction of RotationLesson 21: Coordinate Rules for Rotations About the OriginLesson 22: Rotating Points and Identifying Image CoordinatesLesson 23: Rotating Polygons and Describing Image-Preimage RelationshipsLesson 24: Chapter 4 reviewLesson 25: Final review of the whole textbook

Lesson 19: Rotation as a Turn Around a Fixed Center

Lesson 1: Quadratic Inequalities and Their Boundary EquationsLesson 2: Finding Critical Values by Factoring and the Quadratic FormulaLesson 3: Interval Sign Analysis for Quadratic ExpressionsLesson 4: Number-Line Graphs of Quadratic Inequality SolutionsLesson 5: Writing Solution Sets in Interval and Set-Builder NotationLesson 6: Chapter 1 review

Lesson 1: Quadratic Inequalities and Their Boundary Equations

Lesson 7: Translating Contextual Conditions into Quadratic InequalitiesLesson 8: Area and Dimension Constraints Modeled by Quadratic InequalitiesLesson 9: Profit, Revenue, and Cost Threshold ProblemsLesson 10: Projectile and Height Interval ProblemsLesson 11: Feasible Intervals and Contextual Interpretation of SolutionsLesson 12: Chapter 2 review

Lesson 7: Translating Contextual Conditions into Quadratic Inequalities

Lesson 13: Boundary Lines for Linear Inequalities in Two VariablesLesson 14: Solution Half-Planes of Linear InequalitiesLesson 15: Boundary Parabolas for Quadratic Inequalities in Two VariablesLesson 16: Interior and Exterior Regions of Quadratic InequalitiesLesson 17: Interpreting Coordinate-Plane Solution RegionsLesson 18: Chapter 3 review

Lesson 13: Boundary Lines for Linear Inequalities in Two Variables

Lesson 19: Absolute Value as Distance on the Number LineLesson 20: Solving Absolute Value Equations of the Form |x - a| = bLesson 21: Solving General Absolute Value Equations in One VariableLesson 22: Solving Absolute Value Inequalities with Less ThanLesson 23: Absolute Value Inequalities with Greater Than or Greater Than or Equal ToLesson 24: Chapter 4 reviewLesson 25: Final review of the whole textbook

Lesson 19: Absolute Value as Distance on the Number Line

Lesson 1: Ordered Data Sets and Positional LocationLesson 2: Quartiles as Four-Part Dividers of DataLesson 3: Deciles as Ten-Part Dividers of DataLesson 4: Percentiles as Hundred-Part Dividers of DataLesson 5: Relative Standing and Common Misinterpretations of Position MeasuresLesson 6: Chapter 1 review

Lesson 1: Ordered Data Sets and Positional Location

Lesson 7: Five-Number Summary of Ungrouped DataLesson 8: Constructing a Box-and-Whisker PlotLesson 9: Interpreting Center, Spread, and Distribution in Box PlotsLesson 10: Interquartile Range and the Middle 50% of DataLesson 11: Outlier Identification Using Interquartile RangeLesson 12: Chapter 2 review

Lesson 7: Five-Number Summary of Ungrouped Data

Lesson 13: Frequency, Class Intervals, and Cumulative FrequencyLesson 14: Constructing Cumulative Frequency TablesLesson 15: Cumulative Frequency HistogramsLesson 16: Cumulative Frequency Polygons and OgivesLesson 17: Reading Accumulation and Position from Cumulative GraphsLesson 18: Chapter 3 review

Lesson 13: Frequency, Class Intervals, and Cumulative Frequency

Lesson 19: Measures of Position in Ordered Ungrouped DataLesson 20: Percentile Rank of a Given ScoreLesson 21: Relative Standing of Scores Using PercentilesLesson 22: Comparing Data Values Using Quartiles, Deciles, and PercentilesLesson 23: Drawing Responsible Conclusions from Measures of PositionLesson 24: Chapter 4 reviewLesson 25: Final review of the whole textbook

Lesson 19: Measures of Position in Ordered Ungrouped Data

Lesson 1: Fractional Exponents as RootsLesson 2: Understanding General Rational Exponents a^(m/n)Lesson 3: Converting Between Radical Form and Exponential FormLesson 4: Product and Quotient Laws for Rational ExponentsLesson 5: Power Laws and Simplification with Rational ExponentsLesson 6: Chapter 1 review

Lesson 1: Fractional Exponents as Roots

Lesson 7: Radical Notation, Index, Radicand, and Simplest Radical FormLesson 8: Perfect Squares, Perfect Cubes, and nth-Power FactorsLesson 9: Simplifying Numerical Square Roots by Factoring RadicandsLesson 10: Simplifying Cube Roots and Higher-Index Numerical RadicalsLesson 11: Simplifying Variable Radicals Using Exponent GroupingLesson 12: Chapter 2 review

Lesson 7: Radical Notation, Index, Radicand, and Simplest Radical Form

Lesson 13: Like Radicals and Unlike RadicalsLesson 14: Adding and Subtracting Radical ExpressionsLesson 15: Multiplying Radical ExpressionsLesson 16: Distributive Property with Radical TermsLesson 17: Dividing Radical Expressions and Rationalizing DenominatorsLesson 18: Chapter 3 review

Lesson 13: Like Radicals and Unlike Radicals

Lesson 19: Equivalent Forms and the Purpose of Rationalizing DenominatorsLesson 20: Rationalizing Single Square-Root DenominatorsLesson 21: Rationalizing Higher-Index Radical DenominatorsLesson 22: Conjugates of Binomial Radical DenominatorsLesson 23: Simplifying and Checking Rationalized Radical ExpressionsLesson 24: Chapter 4 reviewLesson 25: Final review of the whole textbook

Lesson 19: Equivalent Forms and the Purpose of Rationalizing Denominators

Lesson 1: Quadratic Equations in Standard Form and Coefficient IdentificationLesson 2: The Discriminant as a Root ClassifierLesson 3: Positive Discriminant and Two Distinct Real RootsLesson 4: Zero Discriminant and One Repeated Real RootLesson 5: Negative Discriminant, Non-Real Roots, and the GraphLesson 6: Chapter 1 review

Lesson 1: Quadratic Equations in Standard Form and Coefficient Identification

Lesson 7: Recognizing Quadratic Functions in Tables Using First and Second DifferencesLesson 8: Reading Key Features from a Quadratic GraphLesson 9: Determining a Quadratic Function in Vertex Form from a Vertex and a PointLesson 10: Determining a Quadratic Function in Intercept Form from Zeros and a PointLesson 11: Determining a Quadratic Function in Standard Form from Three PointsLesson 12: Chapter 2 review

Lesson 7: Recognizing Quadratic Functions in Tables Using First and Second Differences

Lesson 13: Zeros, Linear Factors, and Intercept Form of a Quadratic FunctionLesson 14: Determining the Leading Coefficient from Additional InformationLesson 15: Constructing Quadratic Functions from Zeros, Graphs, and TablesLesson 16: Recognizing Equations in Quadratic FormLesson 17: Solving Biquadratic and Reducible Equations by SubstitutionLesson 18: Chapter 3 review

Lesson 13: Zeros, Linear Factors, and Intercept Form of a Quadratic Function

Lesson 19: Interpreting Key Features of Contextual Quadratic FunctionsLesson 20: Area and Dimension Optimization ProblemsLesson 21: Projectile Height and Vertical Motion ProblemsLesson 22: Revenue, Profit, and Break-Even Quadratic ModelsLesson 23: Choosing Feasible and Reasonable Answers in Quadratic Function ProblemsLesson 24: Chapter 4 reviewLesson 25: Final review of the whole textbook

Lesson 19: Interpreting Key Features of Contextual Quadratic Functions

Lesson 1: Domains and Admissible Values in Radical EquationsLesson 2: Single-Radical Equations Reducible to Linear EquationsLesson 3: Solving Radical Equations with Multiple Terms or RadicalsLesson 4: Radical Equations Reducible to Quadratic EquationsLesson 5: Extraneous Solutions and Verification in Radical EquationsLesson 6: Chapter 1 review

Lesson 1: Domains and Admissible Values in Radical Equations

Lesson 7: Center-Radius Form and the Meaning of h, k, and rLesson 8: Expanding Center-Radius Form into General FormLesson 9: Structure and Normalization of General Circle EquationsLesson 10: Completing the Square to Recover Center-Radius FormLesson 11: Radius-Squared Outcomes and Validity of a Circle EquationLesson 12: Chapter 2 review

Lesson 7: Center-Radius Form and the Meaning of h, k, and r

Lesson 13: Center-Radius Form and the Meaning of Its ParametersLesson 14: Radius from the Squared Radius and Validity of Circle EquationsLesson 15: Center and Radius from General Form by Completing the SquareLesson 16: Plotting the Center and Four Radius Points of a CircleLesson 17: Accurate Circle Sketches Using Scale, Symmetry, and Graph FeaturesLesson 18: Chapter 3 review

Lesson 13: Center-Radius Form and the Meaning of Its Parameters

Lesson 19: Circle Equations from a Given Center and a Point on the CircleLesson 20: Circle Equations from Endpoints of a DiameterLesson 21: Circle Equations from Points Lying on the CircleLesson 22: Writing Circle Equations from Tangency and Coordinate ConstraintsLesson 23: Solving Cartesian Geometry Problems with Circles and SegmentsLesson 24: Chapter 4 reviewLesson 25: Final review of the whole textbook

Lesson 19: Circle Equations from a Given Center and a Point on the Circle

Lesson 1: Identifying Statistical Claims, Variables, and ConclusionsLesson 2: Linking Claims to Graphs and Data DisplaysLesson 3: Misleading Features in Statistical DisplaysLesson 4: Using Summary Statistics as EvidenceLesson 5: Representative Data, Sampling Method, and BiasLesson 6: Chapter 1 review

Lesson 1: Identifying Statistical Claims, Variables, and Conclusions

Lesson 7: Events, Outcomes, and Sample SpacesLesson 8: Mutually Exclusive EventsLesson 9: Non-Mutually Exclusive Events and OverlapLesson 10: Complementary EventsLesson 11: Diagram Representations of Event RelationshipsLesson 12: Chapter 2 review

Lesson 7: Events, Outcomes, and Sample Spaces

Lesson 13: Event Sets, Sample Spaces, and the Meaning of A ∪ B and A ∩ BLesson 14: Intersection of Events and Joint OutcomesLesson 15: Union of Events and the Inclusive OrLesson 16: Mutually Exclusive Events and the Addition Rule without OverlapLesson 17: Non-Mutually Exclusive Events and Overlap CorrectionLesson 18: Chapter 3 review

Lesson 13: Event Sets, Sample Spaces, and the Meaning of A ∪ B and A ∩ B

Lesson 19: Dependent and Independent EventsLesson 20: Sequential Probability with Replacement and Without ReplacementLesson 21: Conditional Probability and the Given ConditionLesson 22: Conditional Probability from Contingency TablesLesson 23: Conditional and Complementary Event Reasoning with Venn DiagramsLesson 24: Chapter 4 reviewLesson 25: Final review of the whole textbook

Lesson 19: Dependent and Independent Events

Lesson 1: Principal, Interest Rate, Time, and Accumulated BalanceLesson 2: Simple Interest as Constant Interest on the Original PrincipalLesson 3: Compound Interest as Interest on a Changing BalanceLesson 4: Growth Tables for Comparing Simple and Compound InterestLesson 5: Short-Term and Long-Term Differences Between Simple and Compound GrowthLesson 6: Chapter 1 review

Lesson 1: Principal, Interest Rate, Time, and Accumulated Balance

Lesson 7: Simple Interest for One Compounding PeriodLesson 8: Updating the Balance After Each Interest PeriodLesson 9: Period-by-Period Compound Interest TablesLesson 10: Accumulated Amount and Total Compound Interest EarnedLesson 11: Solving Multi-Period Financial Problems by Repeated Simple InterestLesson 12: Chapter 2 review

Lesson 7: Simple Interest for One Compounding Period

Lesson 13: Repeated Percentage Growth and the Compound Interest PatternLesson 14: Deriving and Interpreting the Compound Interest FormulaLesson 15: Compounding Periods and the Rate-Period-Time RelationshipLesson 16: Repeated Percentage Decrease and the Depreciation PatternLesson 17: Depreciation Formulas and Their Financial InterpretationLesson 18: Chapter 3 review

Lesson 13: Repeated Percentage Growth and the Compound Interest Pattern

Lesson 19: Annual, Quarterly, and Monthly Compounding PeriodsLesson 20: Comparing Compound Interest Across Compounding FrequenciesLesson 21: Savings and Investment Growth ProblemsLesson 22: Depreciation of Assets Over TimeLesson 23: Choosing Between Financial Options Using Computed ResultsLesson 24: Chapter 4 reviewLesson 25: Final review of the whole textbook

Lesson 19: Annual, Quarterly, and Monthly Compounding Periods

Lesson 1: Central Angles and Intercepted Arc MeasuresLesson 2: Arc Notation, Minor Arcs, Major Arcs, and Semicircular ArcsLesson 3: Inscribed Angles and the Half-Arc RelationshipLesson 4: Diameters, Semicircles, and Right Inscribed AnglesLesson 5: Angles Subtending the Same ArcLesson 6: Chapter 1 review

Lesson 1: Central Angles and Intercepted Arc Measures

Lesson 7: Secants and Tangents in Circle Angle DiagramsLesson 8: Interior Angles Formed by Two Intersecting ChordsLesson 9: Exterior Angles Formed by Two SecantsLesson 10: Exterior Angles Formed by Two TangentsLesson 11: Exterior Angles Formed by a Secant and a TangentLesson 12: Chapter 2 review

Lesson 7: Secants and Tangents in Circle Angle Diagrams

Lesson 13: Intersecting Chord Length Products Inside a CircleLesson 14: Secant Segments from an Exterior PointLesson 15: Secant-Secant Product RelationshipLesson 16: Tangent Segments and Tangent-Tangent CongruenceLesson 17: Tangent-Secant Length RelationshipLesson 18: Chapter 3 review

Lesson 13: Intersecting Chord Length Products Inside a Circle

Lesson 19: Sectors of a Circle and Fractional Parts of Circle AreaLesson 20: Segments of a Circle and the Sector-minus-Triangle RelationshipLesson 21: Triangle Areas Inside SectorsLesson 22: Shaded Regions Involving Sectors and SegmentsLesson 23: Solving Composite Circle Area ProblemsLesson 24: Chapter 4 reviewLesson 25: Final review of the whole textbook

Lesson 19: Sectors of a Circle and Fractional Parts of Circle Area