1: Develop spatial sense and proportional reasoning.
1.3: Demonstrate an understanding of the relationships among scale factors, areas, surface areas and volumes of similar 2-D shapes and 3-D objects.
Dilations
Perimeters and Areas of Similar Figures
Similar Figures
2: Develop spatial sense.
2.1: Derive proofs that involve the properties of angles and triangles.
Proving Triangles Congruent
Triangle Angle Sum
Triangle Inequalities
2.2: Solve problems that involve properties of angles and triangles.
Concurrent Lines, Medians, and Altitudes
Similarity in Right Triangles
Triangle Angle Sum
Triangle Inequalities
3: Develop number sense and logical reasoning.
3.3: Solve problems that involve operations on radicals and radical expressions with numerical and variable radicands (limited to square roots).
Simplifying Radical Expressions
3.4: Solve problems that involve radical equations (limited to square roots or cube roots).
Operations with Radical Expressions
Radical Functions
4: Develop statistical reasoning.
4.1: Demonstrate an understanding of normal distribution, including:
4.1.a: standard deviation
Polling: City
Populations and Samples
Real-Time Histogram
Sight vs. Sound Reactions
4.2: Interpret statistical data, using:
4.2.a: confidence intervals
Polling: City
4.2.b: confidence levels
Polling: City
4.2.c: margin of error.
Polling: City
Polling: Neighborhood
5: Develop algebraic and graphical reasoning through the study of relations.
5.1: Demonstrate an understanding of the characteristics of quadratic functions, including:
5.1.a: vertex
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Zap It! Game
5.1.b: intercepts
Graphs of Polynomial Functions
Polynomials and Linear Factors
Quadratics in Factored Form
Quadratics in Vertex Form
Zap It! Game
5.1.d: axis of symmetry.
Quadratics in Polynomial Form
Quadratics in Vertex Form
5.2: Solve problems that involve quadratic equations.
Quadratics in Polynomial Form
Roots of a Quadratic
6: Develop an appreciation of the role of mathematics in society.
6.1: Research and give a presentation on a historical event or an area of interest that involves mathematics.
Estimating Population Size
Correlation last revised: 11/14/2022