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Mathematics (Numeracy)

 

Manzanita School Curricula for Grades 3-8

Please click here for Kindergarten, 1st, and 2nd grade Curricular Overview


3rd Grade

Students continue to develop their number sense by exploring patterns, equivalency, and with the abacus. Additionally, they become well versed in the relationships between addition and subtraction; and multiplication and division.  Students learn to represent story problems using various models including arrays and pictures. Fact fluency in all operations is highly encouraged. 


4th Grade

Students become experts in whole number place value and all four operations through 100,000 and beyond. An emphasis is placed on building number sense, developing strategies for solving word problems, and demonstrating conceptual understanding of mathematical topics. 


5th Grade

Students become experts in whole number place value and all four operations through 100,000 and beyond. An emphasis is placed on building number sense, developing strategies for solving word problems, and demonstrating conceptual understanding of mathematical topics. 


6th Grade

Students dive deeply into fractions, decimals, percentages, and the equivalency between them.  Students engage with fraction and decimal operations, examining ratios, and solving word problems involving percents. Students consider patterns, equations, properties, and inequalities as a means to introduce algebraic thinking. 


7th Grade: Pre-algebra

Students review and solidify key foundational concepts about number relationships and operations. Topics covered include: types of numbers, understanding and using positive and

negative numbers, working with exponents, powers of ten, and scientific notation, graphing, variables, algebraic expressions, equations and formulae, and using the Pythagorean Theorem.


8th Grade: Algebra

Topics introduced in Algebra provide the foundation students require for future success in high school mathematics, critical thinking, and problem solving. The primary goal is to help students transfer their concrete mathematical knowledge to more abstract algebraic generalizations.

Topics include recognizing and developing patterns using tables, graphs and equations. In addition, students explore operations on algebraic expressions, apply mathematical properties to algebraic equations. Students solve problems using equations, graphs and tables to investigate linear relationships.

 

Upper School Grades 9-12
Courses Covered:


algebra 2

Topics of study include: linear equations, inequalities, graphs, matrices, polynomials and radical expressions, quadratic equations, functions, exponential and logarithmic expressions, sequences and series, probability and trigonometry.


geometry

This course is designed to emphasize the study of the properties and applications of common geometric figures in two and three dimensions. It includes the study of transformations and right triangle trigonometry.  Inductive and deductive thinking skills are used in problem solving situations, and applications to the real world are stressed. It also emphasizes writing proofs to solve (prove) properties of geometric figures. 


statistics

This course is designed to provide a basic understanding of descriptive and inferential statistics. Topics include the measures of central tendency, standard deviation, combinations and permutations, probability, sampling, and various distributions. Emphasis is on applications of statistical concepts.


Advanced Mathematical Skills and Concepts

In Advanced Math Skills and Concepts, students work on refining their algebra skills. They build on foundations from Algebra I & II including: number sense, fractions & their identities, complex fractions, factoring, radical expressions, exponents, functions, and graphing. They take these skills to the next level using polynomials and variables throughout these themes. This course is a good preparatory course for students wishing to take college level courses.