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Ballston Spa High School
An International Baccalaureate World School
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Algebra I
Forms and Reference Sheets
Cumulative Reviews
Midterm Review
Unit 1 Review
Unit 2 Review
Unit 3 Review
Unit 4 Review
Unit 5 Review
Unit 6 Review
Regents Review
Unit 1: Linear Equations and Properties
Unit 2: Introduction to Functions
Unit 3: Linear Functions
Unit 4: Exponential Functions
Unit 5: Square and Cube Root Functions
Unit 6: Polynomials
6.1 Adding and Subtracting Polynomials
6.2 Multiplying Monomials and Polynomials
6.3 Multiplying Binomials
6.4 Multiplying Polynomials
6.5 Factoring Out the GCF
6.6 Factoring Trinomials with a Lead Coefficient of 1
6.7 Factoring "Special" Polynomials
Farmer Bob Activity
6.8 Factoring Completely
6.9 Factoring Trinomials with a Lead Coefficient > 1 and No GCF
Unit 6 Review Packet
Unit 7: Quadratic Functions
7.1 Introduction to Quadratic Functions
7.2 Solve Quadratic Equations by Graphing
7.3 Solving Quadratic Equations by Factoring
7.4 Factors vs. Roots
7.1-7.4 Quiz Review
7.5 Rewriting Quadratic Equations in Vertex Form by Completing the Square
7.6 Solving Quadratic Equations by Completing the Square
7.7 Solving Quadratic Equations using the Quadratic Formula
7.8 Group Activity
7.9 Quadratic Word Problems
Unit 7 Review
Unit 8: Piecewise Functions
8.1 Relating Graphs to Events
8.2 Piecewise Linear Functions
8.3 Absolute Value Functions
8.4 Step Functions
8.5 Piecewise Functions (with various functions)
Unit 8 Review
Unit 9: Systems of Equations
9.1 Solving Linear Systems by Graphing
9.2 Solving Linear Systems by Substitution
9.3 Solving Linear Systems by Elimination
9.4 Solving Special Linear Systems
9.1-9.4 Quiz Review
9.6 Solving Quadratic Linear Systems
9.7 Solving Systems of Equations (with various functions)
9.8 Systems Word Problems
Unit 9 Review
Unit 10: Inequalities
10.1 Solving Inequalities (in 1 variable)
10.2 Solving Inequalities in 2 Variables
10.3 Solving Systems of Linear Inequalities
10.4 Solving Special Systems
10.5 Problem Solving
Unit 10 Review
Unit 11: Transformations
11.1 Translations
11.2 Scaling (Stretching and Compressing)
11.3 Reflections
11.4 Notes (Unit 11 Review)
Unit 12: Statistics
12.1 Measures of Central Tendency
12.2 Box and Whisker Plots (Box Plots)
12.3 Dot Plots and Histograms
12.4 Standard Deviation (Variance of Data)
12.5 Two-Way Frequency Tables
Quiz Review of 12.1-12.5
12.6 Quantifying Predictability (Scatter Plots and r-values)
12.7 Linear Regression (Best Fit Lines)
12.8 Exponential and Quadratic Regression
12.9 Residuals
Unit 12 Review Packet
Unit 13: Sequences
13.1 Recursive Formulas for Arithmetic Sequences
13.2 Recursive Formulas for Geometric Sequences
13.3 Recursive Formulas Review
13.4 Explicit Formulas for Arithmetic Sequences
13.5 Explicit Formulas for Geometric Sequences
13.6 Bring It All Together
Unit 13 Review Packet
Applied Geometry
Chapter 1: Foundations of Geometry
Day 1: Understanding Points, Lines, and Planes
Day 2: Measuring and Constructing Segments and Bi
Day 3: Midpoint and Distance Formulas on the Coordinate Plane
Quiz 1.1-1.3 Review
Day 4: Naming, Measuring & Constructing Angles and Angle Bisectors
Day 5: Angle Pairs
Day 6: Using Formulas
Quiz 1.4-1.6 Review
Day 7: Rigid Motion Transformations (Reflections and Translations)
Day 8: Rigid Motion Transformations (Rotations)
Unit 1 Review
Chapter 2: Geometric Reasoning
2.2 Definitions, Theories and Postulates (Making Conclusions)
2.3 Properties and Algebraic/Geometric Proofs
2.4 What Can You Assume About Diagrams?
2.5 Intro to Geometric Proofs
2.6 Geometric Proofs (Transitive vs. Substitution)
2.7 Geometric Proofs (Overlapping Segments and Angles)
Unit 2 Review
Chapter 3: Parallel and Perpendicular Lines
3.3 Proving Special Angle Pairs Congruent (Geometric Proofs)
3.4 Converse Theorems about Special Angle Pairs and Parallel Lines
3.5 Perpendicular Lines
3.6 Equations and Slopes of Lines (Slope-Intercept and Point-Slope Formula)
3.7 Slopes of Parallel and Perpendicular Lines
3.8 Tranformations of Lines
Chapter 3 Review
Chapter 4: Congruent Triangles
4.4 Triangle Congruence by SAS
4.5 Triangle Congruence by ASA and SSS
4.6 Triangle Congruence by AAS
4.8 Triangle Congruence by HL
4.9 CPCTC
Chapter 4 Review
Mid-Term Review
Chapter 5: Properties and Attributes of Triangles
5.1 Perpendicular and Angle Bisectors
5.2 Perpendicular Bisectors of Triangles and Circumcenters
5.3 Angle Bisectors and Incenters
5.4 Altitudes and Orthocenters
5.5 Medians and Centroids
5.6 Review Points of Concurrency
5.7 Midsegments
5.8 Angle-Side Relationships and Pythagorean's Theorem
5.9 Triangle Inequality Theorem
Unit 5 Review
Chapter 6: Quadrilaterals
6.1 Properties of Polygons
6.2 Properties of Parallelograms
6.3 Conditions of Parallelograms (Coordinate Plane Proofs)
6.4 Properties of Special Parallelograms
6.5 Conditions of Special Parallelograms (Coordinate Plane Proofs)
Factoring Review
6.6 Properties of Trapezoids
6.7 Summarizing Quadrilaterals
6.8 Quadrilateral Proofs
6.9 Coordinate Proofs
Unit 6 Review
Chapter 7: Similarity
7.1 Ratios and Proportions
7.2 Ratios in Similar Polygons
7.3 Triangle Similarity Theorems
Quiz Review on 7.1-7.3
7.4 Exploration of Perimeter and Area of Similar Figures
7.5 Applying Properties of Similar Triangles (Splitters)
7.6 Using Proportional Relationships (Scale Drawings, Perimeter and Area Ratios)
7.7 Dilations and Similarity in the Coordinate Plane
Unit 7 Review
Chapter 8: Right Triangles
8.1 Pythagorean Theorem
8.2 Construction of Right Triangles
8.3 Trigonometry Ratios
8.4 Trig. in Right Triangles: Find the Missing Side
8.5 Inverse Trig Functions: Find the Missing Angle
8.6 Angles of Depression and Elevation
Unit 8 Review
Ballston Spa High School
Elevation vs. Time Video 1
https://www.youtube.com/watch?v=y6yq2sSDS6k
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