Grade 6 Math Curriculum

Course Description:

The goals of this course are to advance students’ understanding of pre-algebraic concepts.  The topics to be covered will include: operations and properties, variables and expressions, decimals, number theory and fractions, an introduction to geometry, data collection and analysis, proportions and graphing. The required text is Mathematics/Grade 6 by Holt McDougal. Students are expected to come to class prepared with a notebook, pencil, eraser and calculator.

Units:

  • Operations and Properties
  • Intro to Algebra
  • Decimals
  • Number theory
  • Fraction Operations
  • Proportions
  • Measurement and Geometry
  • Functions

Skills and Understandings:

  • Students will be able to estimate with whole numbers
  • Students will be able to learn the properties of exponents.
  • Students will learn the order of operations
  • Students will be able to convert decimals to percent to fractions.
  • Students will be able to find greatest common factors and least common multiples of two or more whole numbers.
  • Students will be able to multiply and divide fractions and mixed numbers
  • Students will learn about ordered pairs and graphing.
  • Students will be able to find area, surface area, and volume of prisms and cylinders.
  • Students will learn about the properties of functions.

This course upholds the KAS mission statement by:

  • Allowing students to explore through the means of technology (graphical calculators and computers) the world of mathematics.
  • Allowing students the opportunity to explore and experiment with mathematical concepts in order to develop solutions and generalizations
  • Teaching students that mathematical rigor is global and that mathematical communication is universal.
  • Encouraging students to develop a commitment to their own learning though mathematics.

 

Grade 7 Math Curriculum

Course Description:

The goals of this course are to advance students’ understanding of pre-algebraic concepts.  The topics to be covered will include: variables and integers, equations, fractions, exponents, rational numbers ratios and proportions percents, linear functions, real numbers, and probability. The required text is Mathematics/Grade 7 by Holt McDougal. Students are expected to come to class prepared with a notebook, pencil, eraser and calculator.

Units:

  • Variables, Expressions, and Integers.
  • Solving Equations
  • Multi-steps Equations
  • Factors, Fractions, and Exponents
  • Rational Numbers
  • Ratio, Proportion, and Probability
  • Percentage
  • Linear Functions and Graphing.
  • Real numbers and Right Triangles

Skills and Understandings:

  • Students will be able to use order of operations
  • Students will be able to add, subtract, multiply, and divide real numbers.
  • Students will be able to find unknowns in equations.
  • Students will be able to solve two-step equations.
  • Students will be able to solve inequalities.
  • Students will be able to prime factorize.
  • Students will be able to learn the rules of exponents.
  • Students will be able to multiply and divide all types of fractions.
  • Students will explore the concepts of probability.
  • Students will be able to understand the relationships between fractions, decimals, and fractions.
  • Students will be able to use the Pythagorean Theorem.

This course upholds the KAS mission statement by:

  • Allowing students to explore through the means of technology (graphical calculators and computers) the world of mathematics.
  • Allowing students the opportunity to explore and experiment with mathematical concepts in order to develop solutions and generalizations
  • Teaching students that mathematical rigor is global and that mathematical communication is universal.
  • Encouraging students to develop a commitment to their own learning though mathematics.


 

Algebra 1

Course Description:

The goal of this course is to advance students’ understanding of the concepts of Algebra I.  The topics to be covered will include: equations, inequalities, functions, systems of equations, exponents and polynomials, and factoring quadratics. The required text is Algebra I by Holt McDougal. Students are expected to come to class prepared with a notebook, pencil, eraser and calculator.

Units:

  • Solving equations for an unknown
  • Solving and graphing inequalities
  • Comparing relations and functions
  • Exploring arithmetic sequences.
  • Identifying linear functions
  • Studying Slope formula
  • Solving and graphing systems of equations
  • Review properties of exponents
  • Explore the world of polynomials
  • Factoring Quadratics.

Skills and Understandings:

  • Students will be able to solve multi-step equations
  • Students will be able to graph linear functions
  • Students will be able to use the Slope Formula.
  • Students will be able to use Slope-Intercept form
  • Students will be able to solve systems of equations by graphing, substitution, and elimination.
  • Students will be able to add, subtract, and multiply polynomials.
  • Students will be able to factor by GCF.
  • Students will be able to factor a wide variety of quadratic functions.

This course upholds the KAS mission statement by:

  • Allowing students to explore through the means of technology (graphical calculators and computers) the world of mathematics.
  • Allowing students the opportunity to explore and experiment with mathematical concepts in order to develop solutions and generalizations
  • Teaching students that mathematical rigor is global and that mathematical communication is universal.
  • Encouraging students to develop a commitment to their own learning though mathematics.