Carden Academy uses the Saxon Math Program in grades JP through Sixth and employs the curriculum that is one year ahead. Throughout our program we stress logical thinking, order, and a clear mental image.

Our Junior Primary through Third Grade includes daily fact drills, mental math, and problem solving taught in small groups as well as an all class morning math meeting. We employ a hands-on approach with the use of manipulatives which engages the students in an interactive environment that makes learning math exciting. The concrete examples help children develop abstract and higher order thinking skills.

In grades Four through Six we meet and exceed California State Standards for each grade level because we work one year ahead of most public and private schools. Mastery is built through daily practice of skills and concepts taught in earlier lessons. No concept is taught and dropped, as in traditional texts.

Concepts are divided into small pieces. A new increment is presented each day and students work a few problems each day involving the new concept. The remaining work covers previously introduced problems. Because of this method every assignment and test (every 5 lessons) is a review of material covered up to that point.

In Grades 6-8 the CardenAcademy math program thoroughly prepares the students for a complete algebra or geometry course in eighth grade. A Math Majors section, which will begin in the second semester of sixth grade, prepares the students for a comprehensive study of Algebra I in Seventh or Eighth grade. Due to the volume of new material introduced at each of the following levels, only major new subject areas have been listed.

GRADE 6 Text: Saxon Math 8/7

• Number Sense (decimals, fractions, estimates, graphs, statistics, word problems, etc.)
• Algebra Functions (real numbers, order of operations, exponents, etc.)
• Geometry (polygons, angles, perimeter, circumferences, area, volume, etc.)
• Mathematics’ vocabulary is emphasized in every area.

GRADE 7 - Algebra 1, Algebra 1A and Algebra 1B Text: McDougal Littell, Algebra

Algebra 1A:Algebra in a two-year course
OR
Algebra 1: Algebra in a one-year course

• Introduction to Algebra (variables, equations, applications, problem solving. ect.)
• Working with real numbers (addition , subtraction, multiplication, division, properties)
• Solving equations and word problems (application of charts, formulas, proofs, etc.)
• Polynomials (factoring, quotients, products, factor patterns, etc.)
• Fractions (algebraic fractions, adding, subtraction, polynomial division)

*Algebra 1A ends here. Algebra 1 continues. Algebra 1B begins here. (Grade 8)

• Applying Fractions (Ratios, proportions, fractional equations, percent, exponents, etc.)
• Introduction to functions (variables, linear equations, variations, etc.)
• Systems of linear equations
• Inequalities (inequalities in one and two variables, combining sentences, graphing, etc.)
• Rational and irrational numbers (radical expressions, pythagorean theorem, distance formul, etc.)
• Quadratic Functions (quadratic equations, graphing, variations, imaginary numbers, etc.)

GRADE 8 - Algebra 1B or Geometry

Algebra 1B – second semester of a complete course in algebra.It is intended that the student who successfully completes this course, who fulfills any additional high school requirements, and who has the recommendation of the teacher, be given credit for one year of high school math and be fully qualified to enter geometry in the freshman year.

Geometry (Text: Holt - California Addition) – a complete course in high school geometry. It is intended that the student who successfully completes this course, who fulfills any additional high school requirements, and who has the recommendation of the teacher, be given credit for one year of high school math and be fully qualified to enter advanced placement math in the freshman year.

Geometry:

• Foundation for Geometry
• Euclidean and Construction Tools
• Coordinate and Transformation Tools
• Geometric Reasoning
• Inductive and Deductive Reasoning
• Mathematical Proof
• Parallel and Perpendicular Lines
• Lines with Transversals
• Coordinate Geometry
• Triangles and Congruence
• Proving Triangle Congruence
• Properties and Attributes of Triangles
• Segments in Triangles
• Relationships in Triangles
• Polygons and Quadrilaterals
• Polygons and Parallelograms
• Other Special Quadrilaterals
• Similarity
• Similarity Relationships and Application
• Right Triangles and Trigonometry
• Trigonometric Ratios and Application
• Extending Perimeter, Circumference, and Area
• Developing and Applying Geometric Formulas
• Spatial Reasoning
• Three-Dimensional Figures
• Surface Area and Volume
• Circles
• Lines and Arcs in Circles
• Angles and Segments in Circles
• Extending Transformational Geometry
• Congruence Transformation
• Patterns

Carden Academy uses the Saxon Math Program in grades JP through Sixth and employs the curriculum that is one year ahead. Throughout our program we stress logical thinking, order, and a clear mental image.

Our Junior Primary through Third Grade includes daily fact drills, mental math, and problem solving taught in small groups as well as an all class morning math meeting. We employ a hands-on approach with the use of manipulatives which engages the students in an interactive environment that makes learning math exciting. The concrete examples help children develop abstract and higher order thinking skills.

In grades Four through Six we meet and exceed California State Standards for each grade level because we work one year ahead of most public and private schools. Mastery is built through daily practice of skills and concepts taught in earlier lessons. No concept is taught and dropped, as in traditional texts.

Concepts are divided into small pieces. A new increment is presented each day and students work a few problems each day involving the new concept. The remaining work covers previously introduced problems. Because of this method every assignment and test (every 5 lessons) is a review of material covered up to that point.

In Grades 6-8 the CardenAcademy math program thoroughly prepares the students for a complete algebra or geometry course in eighth grade. A Math Majors section, which will begin in the second semester of sixth grade, prepares the students for a comprehensive study of Algebra I in Seventh or Eighth grade. Due to the volume of new material introduced at each of the following levels, only major new subject areas have been listed.

GRADE 6 Text: Saxon Math 8/7

• Number Sense (decimals, fractions, estimates, graphs, statistics, word problems, etc.)
• Algebra Functions (real numbers, order of operations, exponents, etc.)
• Geometry (polygons, angles, perimeter, circumferences, area, volume, etc.)
• Mathematics’ vocabulary is emphasized in every area.

GRADE 7 - Algebra 1, Algebra 1A and Algebra 1B Text: McDougal Littell, Algebra

Algebra 1A:Algebra in a two-year course
OR
Algebra 1: Algebra in a one-year course

• Introduction to Algebra (variables, equations, applications, problem solving. ect.)
• Working with real numbers (addition , subtraction, multiplication, division, properties)
• Solving equations and word problems (application of charts, formulas, proofs, etc.)
• Polynomials (factoring, quotients, products, factor patterns, etc.)
• Fractions (algebraic fractions, adding, subtraction, polynomial division)

*Algebra 1A ends here. Algebra 1 continues. Algebra 1B begins here. (Grade 8)

• Applying Fractions (Ratios, proportions, fractional equations, percent, exponents, etc.)
• Introduction to functions (variables, linear equations, variations, etc.)
• Systems of linear equations
• Inequalities (inequalities in one and two variables, combining sentences, graphing, etc.)
• Rational and irrational numbers (radical expressions, pythagorean theorem, distance formul, etc.)
• Quadratic Functions (quadratic equations, graphing, variations, imaginary numbers, etc.)

GRADE 8 - Algebra 1B or Geometry

Algebra 1B – second semester of a complete course in algebra.It is intended that the student who successfully completes this course, who fulfills any additional high school requirements, and who has the recommendation of the teacher, be given credit for one year of high school math and be fully qualified to enter geometry in the freshman year.

Geometry (Text: Holt - California Addition) – a complete course in high school geometry. It is intended that the student who successfully completes this course, who fulfills any additional high school requirements, and who has the recommendation of the teacher, be given credit for one year of high school math and be fully qualified to enter advanced placement math in the freshman year.

Geometry:

• Foundation for Geometry
• Euclidean and Construction Tools
• Coordinate and Transformation Tools
• Geometric Reasoning
• Inductive and Deductive Reasoning
• Mathematical Proof
• Parallel and Perpendicular Lines
• Lines with Transversals
• Coordinate Geometry
• Triangles and Congruence
• Proving Triangle Congruence
• Properties and Attributes of Triangles
• Segments in Triangles
• Relationships in Triangles
• Polygons and Quadrilaterals
• Polygons and Parallelograms
• Other Special Quadrilaterals
• Similarity
• Similarity Relationships and Application
• Right Triangles and Trigonometry
• Trigonometric Ratios and Application
• Extending Perimeter, Circumference, and Area
• Developing and Applying Geometric Formulas
• Spatial Reasoning
• Three-Dimensional Figures
• Surface Area and Volume
• Circles
• Lines and Arcs in Circles
• Angles and Segments in Circles
• Extending Transformational Geometry
• Congruence Transformation
• Patterns