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Course Abstract
Sixth Grade Mathematics
The West Hills Middle School mathematics curriculum follows the State of Michigan Benchmarks. Mathematics in sixth grade at West Hills Middle School will focus on integrating math into our students’ daily lives. Students will apply their knowledge of mathematics to incorporate problem solving using real-world situations. This will promote higher-level thinking and oral/written communication skills.
Multiple teaching techniques will be incorporated into the classroom, including lecture and small group discussions. Students will participate in math investigations, math manipulations and simulations. Group and individual activities will include the creation of models, diagrams, projects and presentations. Students will design and present projects in front of their peers.
Students will be exposed to a variety of resources including worksheets, textbooks, overheads, web resources, computer programs (such as Geo Sketch Pad), and presentations. In mathematics, students will be communicating ideas in a variety of ways. Besides traditional paper and pencil work, students will need to communicate mathematical understanding by writing.
Students will be assessed by daily homework, class participation, notebook organization, projects/presentations, and tests and quizzes.
Units of study will be:
The areas of study will be covering the following:
Number and Operations
-Multiply and divide fractions
-Solve applied problems using fractions, decimals & percents
-Add, subtract, multiply, & divide decimals
-Add, subtract, multiply, & divide integers
Algebra
-Represent linear functions using tables, equations, graphs
-Solve linear equations
Geometry
-Two-Dimensional Geometry
-Angle measurement
Measurement
-Convert within measurement systems
-Surface area and volume
Data and Probability
-Probability
Course Abstract
Seventh Grade Mathematics
The West Hills Middle School mathematics curriculum follows the State of Michigan Benchmarks. Mathematics in seventh grade at West Hills Middle School will focus on integrating math into our students’ daily lives. Students will apply their knowledge of mathematics to incorporate problem solving using real-world situations. This will promote higher-level thinking and oral/written communication skills.
Multiple teaching techniques will be incorporated into the classroom, including lecture and small group discussions. Students will participate in math investigations, math manipulations and simulations. Group and individual activities will include the creation of models, diagrams, projects and power point presentations. Students will design and present projects in front of their peers.
Students will be exposed to a variety of resources including worksheets, textbooks, overheads, web resources, computer programs (such as spreadsheets), and presentations. In mathematics, students will be communicating ideas in a variety of ways. Besides traditional paper and pencil work, students will need to communicate understanding by writing.
Students will be assessed by daily homework, class participation, notebook organization, projects/presentations, and tests and quizzes.
Units of study
· Number and Operations
· Algebra
· Geometry
· Measurement
· Data and Probability
Eighth Grade Mathematics
Included below:
1) General 8 th grade mathematics statement
2) Units of study for Math 8 (the regular level 8 th grade class)
3) Units of study for Advanced 8 (Accelerated Algebra 1 – 1 st year high school course)
4) Units of study for Geometry Honors (Accelerated 2 nd year high school course)
The West Hills Middle School mathematics curriculum follows the State of Michigan Benchmarks. Mathematics in eighth grade at West Hills Middle School will focus on integrating math into our students? daily lives. Students will apply their knowledge of mathematics to incorporate problem solving using real-world situations. This will promote higher-level thinking and oral/written communication skills.
Multiple teaching techniques will be incorporated into the classroom, including lecture and small group discussions. Students will participate in math investigations, math manipulations and simulations. Group and individual activities will include the creation of models, diagrams, projects and power point presentations. Students will design and present projects in front of their peers.
Students will be exposed to a variety of resources including worksheets, textbooks, overheads, web resources, computer programs (such as spreadsheets), and presentations. In mathematics, students will be communicating ideas in a variety of ways. Besides traditional paper and pencil work, students will need to communicate understanding by writing.
Students will be assessed by daily homework, class participation, notebook organization, projects/presentations, and tests and quizzes.
The primary general topics include: Number and Operations, Algebra, Geometry, Measurement, and Data & Probability
Units of Study in Math 8
Unit 1: Data and Probability using samples to reason about populations and make predictions; comparing samples and sample distributions.
Unit 2: Linear relationships in tables, graphs, and equations; introduction to functions; slope, y-intercept, and finding the equation of a line; non-linear models and quadratic equations; use of the Graphing Calculator.
Unit 3: Investigation of the Pythagorean Theorem, area, irrational numbers, slope and distance.
Unit 4: Exponential growth through data tables, graphs, and symbolic forms.
Unit 5: Investigating quadratic growth and quadratic functions.
Unit 6: Investigating equivalent expressions; solving linear equations.
Examples of Symbolic Algebra Content for Math 8
· Operations with integers
· Solve single variable equations
· Write equations in slope intercept form
· Combining like terms
· Solving two step equations
· Operations with exponents
· Pythagorean Theorem and square roots.
Units of Study in Advanced Math – Algebra 1
Unit 1: Patterns in Data
Statistics & interpretation measures of center, standard deviation mean deviation, measures of variation, extensive use of graphing calculator and spreadsheets
Unit 2: Symbolic Algebra
Algebraic reasoning. equivalent expressions; Distributive property, combining like terms, linear and quadratic equations by symbolic solutions, zero product property. Polynomials and monomials (multiplying & simplifying)
Unit 3: Linear Models
Overview of functions, linear & nonlinear, recursive functions, linear functions in y=mx+b form, slope, equation-solving, inequalities, looking for patterns in graphs/tables
· Solving Linear Equations:
· Graphing Linear Equations:
· Writing Linear Equations:
Unit 4: Solving and Graphing Linear Inequalities
Inequalities in one and two variables. Compound inequalities. Graphing linear inequalities. Solving systems by graphing, substitution, addition (linear combinations).
Unit 5: Pythagorean Theorem and Square Roots
Square roots, radicals, and Pythagorean theorem.
Unit 6: Exponential Models
Powers and exponents, negative and zero exponents. Scientific Notation.
Unit 7: Quadratic Equations
Square roots and the Pythagorean Theorem, solving by finding square roots, quadratic formula, factoring quadratics
SYMBOLIC ALGEBRA CONTENT
ADVANCED MATH 8
· Operations with integers
· Solve single variable equations
· Solve systems of equations using linear combinations, graphing, and substitution
· Solve y = mx + b for values of x and y
· Derive y = mx + b from given information about line
· Explore slope with parallel and perpendicular lines
· Solve inequalities algebraically
· Laws of exponents (including negative exponents)
· Fractional exponents & roots
· Work with formulas (perimeter, area, volume)
· Pythagorean Theorem applications
· Radicals (simplifying, adding, and multiplying)
· Algebraic properties
· Polynomial operations
· Factoring monomials
· Factoring polynomials, difference of two squares, perfect square trinomial
· Solving quadratic equations
Geometry Honors
Units of Study:
Introducing Geometry
Reasoning In Geometry
Using Tools of Geometry (Constructions)
Discovering and Providing Triangle Properties
Discovering and Proving Polygon Properties
Discovering and Proving Circle Properties
Area
The Pythagorean Theorem
Volume
Similarity
Trigonometry
Geometry as a Mathematical System
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