The 6-8 grade mathematics curricula emphasizes problem solving and problem solving strategies through the use of word problems. Lessons are designed to give the students the opportunity to increase their understanding of fundamentals and to develop an understanding and appreciation of new concepts.
The level of complexity through the middle school years increases as the students develop their abstract reasoning skills. Short term and long term projects will be utilized to relate mathematical concepts to the real world.
Problem solving: Solve word problems utilizing the four operations with fractions, decimals, percents, ratios and proportions; identify needed information in problem situations; identify and appropriate number sentence to solve simple story problems.
Number Relationships: Convert fractions, decimals, and percents from one to another.
Number Sense: Identify, order, and compare integers on a number line; find the least common multiple; read, write, compare and order whole numbers, decimals, and fractions.
Computation: Add, subtract, multiply, and divide whole numbers, fractions, and decimals and check answers; know multiplication and division facts; estimate answers in the four operations; round decimals to nearest tenth, hundredth, or thousandth.
Patterns and Functions: Graph ordered pairs of integers and identify the various points on a grid.
Probability: Solve problems involving elementary notions of probability and fairness.
Geometry: Determine perimeter and area of rectangles and triangles by using formulas; determine volume, points, parallel and intersecting lines, and angles.
The major resource used in this class includes: Glencoe, Mathematics Applications and Connections, Course 1
Number theory and number sense - Analyze arithmetic number patterns; order decimals, fractions, and integers; compute greatest common factor and least common multiple; convert between decimals, fractions, and percents.
Estimation - Use and apply estimation.
Computation - Add, subtract, multiply, and divide decimals and fraction.
Problem Solving - Use strategies to solve problems with whole numbers, decimals and fractions; identify necessary and extra information in word problems; and write and solve appropriate number sentences to given word problems.
Ratio, Proportion, and Percent - Solve problems involving ratio, proportion, and percent word problems. Write and solve percent equations.
Pre-Algebra - Write expressions and equations from simple word sentences. Solve order of operation problems and one-step equations.
Geometry - Calculate perimeter, area, and volume using formulas. Draw items using symmetry and reflection.
Statistics and Probability - Solve averages and work in the coordinate plane; solve simple dependent probability problems.
The major resource used in this class includes: Glencoe, Mathematics Applications and Connections, Course 2
Number theory and number sense - Analyze arithmetic number patterns; order decimals, fractions, and integers; compute greatest common factor and least common multiple; convert between decimals, fractions, and percents.
Estimation - Use and apply estimation.
Computation - Add, subtract, multiply, and divide decimals and fraction.
Problem Solving - Use strategies to solve problems with whole numbers, decimals and fractions; identify necessary and extra information in word problems; and write and solve appropriate number sentences to given word problems.
Ratio, Proportion, and Percent - Solve problems involving ratio, proportion, and percent word problems. Write and solve percent equations.
Pre-Algebra - Write expressions and equations from simple word sentences. Solve order of operation problems and one-step equations.
Geometry - Calculate perimeter, area, and volume using formulas. Draw items using symmetry and reflection.
Statistics and Probability - Solve averages and work in the coordinate plane; solve simple dependent probability problems.
The major resource used in this class includes: Glencoe, Mathematics Applications and Connections, Course 2
Number theory and number sense - Analyze arithmetic and geometric number patterns and analyze patterns in word problems. Order integers and rational numbers. Compute greatest common factor and least common multiple; convert between decimals, fractions, and percents.
Estimation - Use and apply several estimation techniques.
Computation - Add, subtract, multiply, and divide integers, decimals, and fractions and apply rules to rational numbers.
Problem Solving - Use strategies to solve problems with whole numbers, decimals, and fractions; identify necessary and extra information in word problems; and write and solve appropriate number sentences to given word problems.
Ratio, Proportion, and Percent - Solve problems involving ratio, proportion, and percent word problems. Write and solve percent equations and percent change problems.
Pre-Algebra - Write expressions and equations from word sentences. Solve order of operation problems and one-step equations and two-step equations.
Geometry - Calculate perimeter, area, and volume using formulas. Draw items using symmetry and reflection, translations, and congruence.
Algebra - Use and apply the algebraic properties; solve multi-step equations and functions. Use and apply the Pythagorean Theorem.
Statistics and Probability - Solve averages; draw graphs in the coordinate plane and write equations of graphs; solve simple dependent probability problems.
The major resource used in this class includes: Glencoe, Mathematics Applications and Connections, Course 3
Number theory and number sense - Analyze arithmetic and geometric number patterns and analyze patterns in word problems. Order integers and rational numbers. Compute greatest common factor and least common multiple; convert between decimals, fractions, and percents.
Estimation - Use and apply several estimation techniques.
Computation - Add, subtract, multiply, and divide integers, decimals, and fractions and apply rules to rational numbers.
Problem Solving - Use strategies to solve problems with whole numbers, decimals, and fractions; identify necessary and extra information in word problems; and write and solve appropriate number sentences to given word problems.
Ratio, Proportion, and Percent - Solve problems involving ratio, proportion, and percent word problems. Write and solve percent equations and percent change problems.
Pre-Algebra - Write expressions and equations from word sentences. Solve order of operation problems and one-step equations and two-step equations.
Geometry - Calculate perimeter, area, and volume using formulas. Draw items using symmetry and reflection, translations, and congruence.
Algebra - Use and apply the algebraic properties; solve multi-step equations and functions. Use and apply the Pythagorean Theorem.
Statistics and Probability - Solve averages; draw graphs in the coordinate plane and write equations of graphs; solve simple dependent probability problems.
The major resource used in this class includes: Glencoe, Mathematics Applications and Connections, Course 3
Number theory and number sense - Analyze arithmetic and geometric number patterns and analyze patterns in word problems. Order integers and rational numbers. Compute greatest common factor and least common multiple; convert between decimals, fractions, and percents.
Estimation - Use and apply several estimation techniques.
Computation - Add, subtract, multiply, and divide integers, decimals, and fractions and apply rules to rational numbers.
Problem Solving - Use strategies to solve problems with whole numbers, decimals, and fractions; identify necessary and extra information in word problems; and write and solve appropriate number sentences to given word problems.
Ratio, Proportion, and Percent - Solve problems involving ratio, proportion, and percent word problems. Write and solve percent equations and percent change problems.
Pre-Algebra - Write expressions and equations from word sentences. Solve order of operation problems and one-step equations and two-step equations.
Geometry - Calculate perimeter, area, and volume using formulas. Use algebraic principles to solve geometric problems.
Algebra - Use and apply the algebraic properties; solve multi-step equations and functions. Use and apply the Pythagorean Theorem.
Statistics and Probability - Solve averages; draw graphs in the coordinate plane and write equations of graphs; solve simple dependent probability problems.
The major resource used in this class includes: Larson, Passport to Algebra and Geometry
In algebra, students study integers, algebraic properties, polynomials, linear equations and systems, functions and inequalities. Emphasis is placed on word problems, solving multi-step equations, and the quadratic function. This course is equivalent to the high school Algebra I course.
Areas of concentration include:
Expressions: Evaluating expressions and writing expressions from word sentences.
Equations: Writing equations, solving equations and inequalities from word problems. Solving systems of equations with two or more variables and applying functions.
Graphing: Graphing linear and exponential equations, calculating slope, and writing equations of line graphs.
Connection to Geometry: Applying ratio and proportion to solving word problems. Working with scale measurements and similarity.
Radicals: Applying the Pythagorean Theorem. Calculations with percent and with percent change. Solving and applying the Quadratic Function.
Polynomials: Operations with polynomials and explorations with factoring.
The primary resources used in this course include:
Algebra I: Explorations and Applications by McDougal Littell