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Math
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Blended
Math
English Language Arts
Science
Blended Learning
Math
Kindergarten
Counting & Cardinality
Operations & Algebraic Thinking
Number & Operations in Base Ten
Measurement and Data
Geometry
First Grade
Operations & Algebraic Thinking
Number & Operations in Base Ten
Measurement and Data
Geometry
Second Grade
Operations & Algebraic Thinking
Number & Operations in Base Ten
Measurement and Data
Geometry
Third Grade
Operations & Algebraic Thinking
Number & Operations in Base Ten
Numbers & Operations-Fractions
Measurement and Data
Geometry
Fourth Grade
Operations & Algebraic Thinking
Number & Operations in Base Ten
Number & OperationsâFractions
Measurement and Data
Geometry
Fifth Grade
Operations & Algebraic Thinking
Number & Operations in Base Ten
Number & OperationsâFractions
Measurement & Data
Geometry
Sixth Grade
Ratios & Proportional Relationships
The Number System
Expressions & Equations
Geometry
Statistics & Probability
Seventh Grade
Ratios & Proportional Relationships
The Number System
Expressions & Equations
Geometry
Statistics & Probability
Eighth Grade
The Number System
Expressions & Equations
Functions
Geometry
Statistics & Probability
HS Number & Quantity
The Real Number System
Quantities
The Complex Number System
Vector & Matrix Quantities
HS Algebra
Seeing Structure in Expressions
Arithmetic with Polynomials & Rational Expressions
Creating Equations*
Reasoning with Equations & Inequalities
HS Functions
Interpreting Functions
Building Functions
Linear, Quadratic, & Exponential Models*
Trigonometric Functions
HS Geometry
Congruence
Similarity, Right Triangles, & Trigonometry
Circles
Expressing Geometric Properties with Equations
Geometric Measurement & Dimension
Modeling with Geometry
HS Statistics & Probability
Interpreting Categorical & Quantitative Data
Making Inferences & Justifying Conclusions
Conditional Probability & the Rules of Probability
Using Probability to Make Decisions
Back
Similarity, Right Triangles, & Trigonometry
HS Geometry
Similarity, Right Triangles, & Trigonometry
Congruence
Similarity, Right Triangles, & Trigonometry
Circles
Expressing Geometric Properties with Equations
Geometric Measurement & Dimension
Modeling with Geometry
Understand similarity in terms of similarity transformations.
HSG-SRT.A.1
Verify experimentally the properties of dilations given by a center and a scale factor:
20 Lessons
HSG-SRT.A.2
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
16 Lessons
HSG-SRT.A.3
Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.
16 Lessons
Prove theorems involving similarity.
HSG-SRT.B.4
Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
12 Lessons
HSG-SRT.B.5
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
41 Lessons
Define trigonometric ratios and solve problems involving right triangles.
HSG-SRT.C.6
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
29 Lessons
HSG-SRT.C.7
Explain and use the relationship between the sine and cosine of complementary angles.
17 Lessons
HSG-SRT.C.8
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.*
43 Lessons
(+) Apply trigonometry to general triangles.
HSG-SRT.D.9
(+) Derive the formula A = (1/2)ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
11 Lessons
HSG-SRT.D.10
(+) Prove the Laws of Sines and Cosines and use them to solve problems.
27 Lessons
HSG-SRT.D.11
(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).
27 Lessons