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Math

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Mathematics Department

Welcome to the mathematics department!  Enjoy exploring our page and learning more about math at South Lake!

Mathematics Standards
Common Core Standards

 

Resources for Students

 

Course Descriptions

Math 7: Instructional time in this course focuses on:

* Analyzing proportional relationships and using them to solve real-world and mathematical problems.

* Applying and extending previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

* Using properties of operations to generate equivalent expressions.

* Solving real-life and mathematical problems using numerical and algebraic expressions and equations.

* Drawing, constructing and describing geometrical figures and describing the relationships between them.

* Solving real-life and mathematical problems involving angle measure, area, surface area, and volume.

* Using random sampling to draw inferences about a population.

* Drawing informal comparative inferences about two populations.

* Investigating chance processes and developing, using, and evaluating probability models.

 

Enhanced Math 7/8: This course differs from the grade-level Math 7 and Math 8 courses in that it contains content from both courses and is through multiple measures that students are recommended for this course by their 6th grade math teacher. This course is intended for the student who is able to move through the mathematics quickly and still master the full range of mathematical practices, content and skills. Instructional time in this course focuses on:

* Analyzing proportional relationships and using them to solve real-world and mathematical problems.

* Understanding the connections between proportional relationships, lines, and linear equations.

* Applying and extending previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

* Knowing that there are numbers that are not rational, and approximating them using rational numbers.

* Working with radicals and integer exponents.

* Using properties of operations to generate equivalent expressions.

* Solving real-life and mathematical problems using numerical and algebraic expressions and equations.

* Drawing, constructing and describing geometrical figures and describing the relationships between them.

* Understanding congruence and similarity using physical models, transparencies, or geometry software.

* Solving real-life and mathematical problems involving angle measure, area, surface area, and volume.

* Solving real-world and mathematical problems involving volume of cylinders, cones and spheres.

* Using random sampling to draw inferences about a population.

* Drawing informal comparative inferences about two populations.

* Investigating chance processes and developing, using, and evaluating probability models.

 

Math 8: Instructional time in this course focuses on:

* Knowing that there are numbers that are not rational, and approximating them using rational numbers.

* Working with radicals and integer exponents.

* Understanding the connections between proportional relationships, lines, and linear equations.

* Analyzing and solving linear equations and pairs of simultaneous linear equations.

* Defining, evaluating, and comparing functions.

* Using functions to model relationships between quantities.

* Understanding congruence and similarity using physical models, transparencies, or geometry software.

* Understanding and applying the Pythagorean Theorem.

* Solving real-world and mathematical problems involving volume of cylinders, cones and spheres.

* Investigating patterns of association in bivariate data

 

Enhanced Math I: In Enhanced Math I, students continue their work with expressions and modeling and analyzing situations. In Math I, students will:

* Learn function notation and develop the concepts of domain and range.

* Explore many examples of functions, including sequences.

* Interpret functions represented graphically, numerically, symbolically, and verbally, translate between representations, and understand the limitations of various representations.

* Work with functions given by graphs and tables, keeping in mind that, depending upon the context these representations are likely to be approximate and incomplete.

* Understanding of integer exponents to consider exponential functions.

* Compare and contrast linear and exponential functions, distinguishing between additive and multiplicative change.

* Interpret arithmetic sequences as linear functions and geometric sequences as exponential functions.

* Develop more formal means of assessing how a model fits data.

* Use regression techniques to describe approximately linear relationships between quantities.

* Use graphical representations and knowledge of the context to make judgments about the appropriateness of linear models. With linear models, they look at residuals to analyze the goodness of fit.

* Establish triangle congruence criteria, based on analyses of rigid motions and formal constructions.

* Solve problems about triangles, quadrilaterals, and other polygons.

* Apply reasoning to complete geometric constructions and explain why they work.

* Build on their work with the Pythagorean Theorem.