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Topic 1: Tools of Geometry
Topic 2: Reasoning and Proof
Topic 3: Parallel and Perpendicular Lines
Topic 4: Congruent Triangles
Topic 5: Relationships Within Triangles
Topic 6: Polygons and Quadrilaterals
Topic 7: Coordinate Geometry
Topic 8: Transformational Geometry
Topic 9: Similarity
Topic 10: Right Triangles and Trigonometry
Topic 11: Circle Measurement
Topic 12: Theorems About Circles
Topic 13: Area
Topic 14: Surface Area and Volume
Topic 15: Probability
Topic 12: Circle Theorems
Algebra I — Topic 1: Solving Equations & Inequalities
Algebra I — Topics 2/3: Functions & Linear Functions (taught mixed)
Algebra I — Topic 4: Systems
Algebra I — Topic 5: Exponents & Radicals
Algebra I — Topic 6: Sequences
Algebra I — Topic 7: Polynomials & Factoring
Algebra I — Topic 8: Quadratics
Algebra I — Topic 9: Exponentials
Topic 2: Absolute Value
Topic 3: Systems
Topic 4: Matrices
Topic 5: Quadratics
Topic 6: Square Root Functions
Topic 7: Exponential & Logarithmic Functions
Topic 8: Polynomials
Topic 9: Radical Expressions
Topic 10: Cubic & Cube Root Functions
Topic 11: Rational Functions & Equations
Topic 12: Data & Regression
Algebra 2 Proofs
Supplementary Topics
Grade 6 Math · T1 Numbers & Operations
Grade 6 Math · T2 Integers & Rational Numbers
Grade 6 Math · T3 Expressions, Equations & Relationships
Grade 6 Math · T4 Proportionality
Grade 6 Math · T5 Geometry
Grade 6 Math · T6 Measurement & Data
Grade 6 Math · T7 Personal Financial Literacy
Grade 7 Math · T1 Numbers & Operations
Grade 7 Math · T2 Expressions, Equations & Relationships
Grade 7 Math · T3 Measurement & Geometry
Grade 7 Math · T4 Proportionality
Grade 7 Math · T5 Data
Grade 7 Math · T6 Financial Literacy
Grade 7 Math · T7 Step-up
Grade 8 Math · Equations
Grade 8 Math · Functions
Grade 8 Math · Systems
Grade 8 Math · Geometry
Grade 8 Math · Number System
Grade 8 Math · Statistics
SAT Math: Full Practice Module
SAT Math: Heart of Algebra
SAT Math: Problem Solving & Data Analysis
SAT Math: Passport to Advanced Math
SAT Math: Additional Topics in Math
Topic 16: Precalculus (AP Style)
Topic 21: AP Calculus AB
Topic 21: AP Calculus AB · BC
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Problem Set Seed (reproducibility)

3 problems in this set
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Trigonometry: Introduction to Ratios — Notes

Guided Notes

Name:  
Date:  
Period:  
Directions: Fill in each blank as we work through the problems together. Use the diagrams to guide your thinking.
G.9(A) — Right Triangles & Trigonometry
1

Identify the ratio for cos(θ) given the right triangle.

θ452451

Step 1.Identify the definition of cos: Numerator Denominator

Step 2.Substitute the known values based on angle θ: Value

2

Identify the ratio for sin(θ) given the right triangle.

θ361539

Step 1.Identify the definition of sin: Numerator Denominator

Step 2.Substitute the known values based on angle θ: Value

3

Identify the ratio for tan(θ) given the right triangle.

θ81517

Step 1.Identify the definition of tan: Numerator Denominator

Step 2.Substitute the known values based on angle θ: Value

TEKSG.9(A)
Euclid Engine—October 11, 2026