COURSE OVERVIEW

Order of the units

Unit 1: Exponents and Scientific Notation

Students:

• Study patterns and structure, using this structure to formalize properties of exponents.
• Simplify complex exponential expressions and to represent and operate with very large and very small numbers.

Unit 2: Solving One-Variable Equations

Students

• Continue to hone their skill of solving equations.
• Become more efficient and more strategic in how they approach and solve equations in one variable.

Unit 3: Transformations and Angle Relationships

Students

• Formalize their understanding of congruence and similarity as defined by specific movements of figures in the coordinate plane.
• Experiment with, manipulate, and verify hypotheses around how shapes move under different transformations.
• observe how ratios between similar triangles stay the same, which sets them up for understanding slope in Unit 5.
• Make informal arguments, which prepares them for more formal proofs in high school geometry.

Unit 4: Functions

Students:

• Get introduced to the concept of a function, which relates inputs and outputs.
• Analyze and compare functions, developing appropriate vocabulary to use to describe these relationships.
• Investigate real-world examples of functions that are both linear and nonlinear, and use functions to model relationships between quantities. This introductory study of functions prepares students for Unit 5, in which they focus on a particular kind of function—linear equations.

Unit 5: Linear Relationships, and Unit 6, Systems of Linear Equations

Students:

• Make the connection between proportional relationships, functions, and linear equations.
• Deepen their understanding of slope, making the connection back to similar triangles in Unit 3.
• Think critically about relationships between two quantities: how they are represented, how they compare to other relationships, and what happens when you consider more than one linear equation at a time. Throughout these two units, students utilize their skills from Unit 2 as they manipulate algebraic equations and expressions with precision.

Unit 7: Pythagorean Theorem and Volume Applications

Students

• Discover the Pythagorean Theorem, which is supported by a study of irrational numbers. Students now have a full picture of the real number system.

Unit 8: Bivariate Data

Students

• Analyze data in two variables using linear equations and two-way tables.
• Use these structures to make sense of the data and to make justifiable predictions.

To learn more, click the button below to join the Grade 6 Math Virtual class

Use Class code: pwkc2ug