Mathematics Curriculum

Textbooks

  • Math 6-Harcourt (6th)
  • Mathematics, Concepts, & Applications-Glencoe (7th-8th)
  • Algebra I-Glencoe, McGraw-Hill (Algebra)

Curriculum

Middle School Math— Note:  ILCA recognizes that students are in various stages of readiness and cognitive development in mathematics, and we strive to meet the needs of and challenge each student.  Students who are ready for higher math will be taught those courses by secondary certified math teachers.  Students are placed in the appropriate math class after previous records and grades have been examined or after taking a readiness assessment administered by the school.

Middle School Math I (Grades 6 & 7)

This course reinforces the concepts of number sense and operations of whole numbers, fractions, decimals, squares, and square roots.  Math I course introduces plane and solid geometric figures, symmetry, tessellations, measurements, statistics, graphing, probability, algebraic patterns and properties. Students will design and evaluate basic problem-solving techniques for real world application.

 Middle School Math II (Grades 6, 7 & 8)

This course allows students to demonstrate mastery of number sense of rational numbers, fractions, decimals, and percents.  Students will design and evaluate problem-solving techniques for real world application.  Math II course is designed to assist and strengthen the basic algebra and geometry skills to better prepare students for pre-algebra and Algebra 1, which are taught to those students who are ready for the challenges of accelerated math.

Prerequisite:  Math I or equivalent

 Pre-Algebra / Math III   (Grades 7 & 8)

This course introduces many new concepts that go beyond basic computation and build a foundation for Algebra I.  Students are given instruction that includes a balance among conceptual understanding, connections to prior knowledge, skill proficiency, and problem-solving experiences to develop mathematical literacy.  The core skills include real numbers, expressions, polynomials, equations, inequalities, similar and congruent figures, functions, statistics, probability, percentages, and Pythagorean property.

Prerequisite:  Math II or equivalent.

Algebra I (Grade 8)

Students will explore using variables to represent data.  They will learn to write, evaluate, simplify variable expressions, write and solve linear equations.  Students will explore data to determine whether a linear relationship exists, learn how to represent a linear relationship as points on a coordinate plane, and as an equation representing a line.  Students will analyze how the equation and the graph on a line are related and will extend their knowledge of linear graphing to inequalities and the systems of linear equations.

Students will be introduced to nonlinear functions, first learning about the polynomials and operations involving monomials and polynomials.  Students learn various methods of factoring, and are finally introduced to the quadratic and exponential functions.  Students will be introduced to additional nonlinear functions such as radical and rational equations, how to simplify radical and rational expressions, and how to solve equations involving these expressions.

Students explore triangles through the Pythagorean Theorem and basic trigonometric ratios.

Students will learn how to analyze data using statistical analysis.  This includes understanding sampling techniques, histograms, and box-and-whisker plots.  Students will then learn how to use probability to predict outcomes.

Successful completion of this course earns the student high school math credit.

Prerequisite:  Math III or equivalent pre-algebra course