Davis Waldorf School


Mathematics Curriculum
In sixth grade, the students are introduced to the relationship of percentage to fractions and decimals. The student converts word problems from one form to another. Ratios and proportions are also explored. In economics, business math concepts are used to compute simple and compound interest, profit, loss, cost, discounted pricing, and balancing a checking account. In addition to new material, the students review the four operations and their use with fractions and decimals. In geometry, the students are introduced to the use of a compass. From the years of drawing free artistic forms, students are now ready to prove things geometrically using tools.[2] Artistic constructions of circles and the definitions of parts of a circle such as diameter, radius, and circumference are explored using the compass. Triangles and squares are circumscribed in the circle. Constructions and calculations of polygons are performed. A protractor is used to measure angles. The relationship of lines, polygons and angles are calculated.

In seventh grade, the concepts of business math are reviewed and deepened using formulas. Pre-algebraic computations such as with fractions, decimals, and exponents are performed. Geometry is further explored with polygons and calculations for perimeter and area. Given practice with simple equations, the student is introduced to the concepts of the variable and simple algebraic relationships.

In eighth grade, students further develop previous skills in all phases of arithmetic. The students apply previous knowledge of geometry to explore platonic solids such as the tetrahedron and dodecahedron, more complex polygons, different triangles such as scalene, isosceles, and right triangles. Calculations with area and volume are performed. In addition, the Pythagorean Theorem is explored. The task of education, at this time, is to provide learning opportunities in which the objective laws that are accessible to thought can be experienced and made conscious. The children develop a capacity for judgment, which can only be based on recognition of the true nature of phenomena.[3] Algebra is the focus of the year with computations developed from an understanding of real, natural, and rational numbers, graphs, linear equations, inequalities, polynomials, multiple variable operations, and parabolas.

[1] Rawson, Martyn, and Tobias Richter. The Educational Tasks and Content of the Steiner Waldorf Curriculum. England: Steiner Schools Fellowship Publications, 2000. Pg. 42.
[2] Rawson and Richter 43
[3] Rawson and Richter 51


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