Course Descriptions for 7 th & 8 th Grade Mathematics

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1 Course Descriptions for 7 th & 8 th Grade Mathematics 7 th Grade Academic Math This course is based upon the 7 th grade PA core standards to prepare students for future algebra based understandings. The course begins with basic algebraic reasoning and rational numbers through solving equations and inequalities. Students will explore proportional relationships, graphing and analyzing data, percents, geometric figures, measurement, and probability. Students in this course typically move to pre-algebra in 8 th grade. 7 th Grade General Math/Math 7 This course is based upon the 7 th grade PA core standards to prepare students for future algebra based understandings. The course begins with basic algebraic reasoning and rational numbers through solving equations and inequalities. Students will explore proportional relationships, graphing and analyzing data, percents, geometric figures, measurement, and probability. Minimal non-calculator work will be done in this course. Students in this course typically move to an intro class in 8 th grade. 7 th Grade Pre-algebra Students will be continuing number reasoning skills, building into real numbers and exponential expressions. Algebraic concepts will build into using the Pythagorean Theorem, solving linear equations, and graphing functions. Geometry will cover transformations, formulas for space figures and cross sections. Data analysis work includes scatter plots and two-way tables. This class is an accelerated pace to review 7 th grade PA core concepts and cover 8 th grade PA core concepts in order to move to the Keystone Algebra I course. 8 th Grade Intro to Algebra/Intro to Pre-algebra Students will be continuing number reasoning skills, building into irrational numbers and exponential expressions. Algebraic concepts will build into using the Pythagorean Theorem, solving linear equations and systems of equations, and graphing functions. Geometry will cover transformations, formulas for space figures. Data analysis work includes scatter plots and two-way tables. Calculators will be permitted on most work. Most students will move to Practical Algebra A/I. 8 th Grade Pre-algebra Students will be continuing number reasoning skills, building into irrational numbers and exponential expressions. Algebraic concepts will build into using the Pythagorean Theorem, solving linear equations and systems of equations, and graphing functions. Geometry will cover transformations, formulas for space figures and cross sections. Data analysis work includes scatter plots and two-way tables. Students in this class are preparing to move to the Keystone Algebra I course.

2 8th Grade Algebra I Students will be preparing for the Algebra I Keystone Exam to be taken near the end of the course. Students will be focusing on solving linear equations, inequalities and systems of equations and inequalities; identifying and graphing functions; linear regression; basic factoring techniques; simplifying radical and polynomial expressions; laws of exponents; data analysis, and probability. Calculators are permitted, but graphing calculators are not permitted. Students will be at an accelerated pace and working to move to Algebra II.

3 Intro to Pre-algebra/Intro to Algebra (8 th Grade) Course Outline MAMS Textbook: Holt McDougal Larson Pre-algebra ISBN: CHS Textbook: Holt McDougal Mathematics Grade 8 ISBN: Number System a. Rational Number Operations b. Irrational Numbers 2. Exponents a. Integer Exponents b. Laws of Exponents c. Scientific Notation d. Pythagorean Theorem 3. Solving Equations a. Solving Linear Equations b. Solving Systems of Equations 4. Functions a. Identifying Functions b. Function Representations 5. Graphing Equations a. Slope b. Slope-Intercept Form c. Systems of Equations 6. Data Analysis a. Scatter Plots b. Graphing Data c. Measures of Central Tendency 7. Geometry a. Transformations of Shapes b. Volume Formulas: Pyramids, Cylinders, Spheres

4 Pre-Algebra (7 th & 8 th Grade) Course Outline MAMS Textbook: Holt McDougal Larson Pre-algebra ISBN: CHS Textbook: Holt McDougal Mathematics Course 3 ISBN: Number System a. Rational Number Operations b. Irrational Numbers 2. Exponents a. Integer Exponents b. Laws of Exponents c. Scientific Notation d. Pythagorean Theorem 3. Solving Equations a. Solving Linear Equations b. Solving Systems of Equations 4. Functions a. Identifying Functions b. Function Representations 5. Graphing Equations a. Slope b. Slope-Intercept Form c. Systems of Equations 6. Data Analysis a. Scatter Plots b. Graphing Data c. Measures of Central Tendency 7. Geometry a. Transformations of Shapes b. Volume Formulas: Pyramids, Cylinders, Spheres

5 7 th Grade Academic Math Course Outline MAMS Textbook: Holt McDougal Mathematics Grade 7 ISBN: CHS Textbook: Holt McDougal Mathematics Course 3 ISBN: Numbers and Operations a. Mathematical Properties b. Rational Number Operations c. Rational Number Representations 2. Ratios, Rates and Proportions a. Unit Rates b. Proportions c. Application to Equations and the Coordinate Plane 3. Proportions and Percents a. Percent Conversions b. Percent Applications c. Proportions in the Coordinate Plane 4. Expressions, Equations and Inequalities a. Simplifying Variable Expressions b. Solving Multi-Step Equations & Inequalities 5. Geometry: Lines and Shapes a. Basic Angle Relationships (Parallel Lines & Transversal) b. Properties of Triangles 6. Measurement a. Area of Various Two-Dimensional Shapes b. Volume & Surface Area of Prisms c. Cross Sections of Three-Dimensional Shapes d. Scale Drawings 7. Probability a. Independent Events (Simple and Compound) b. Tree Diagrams c. Experimental verses Theoretical 8. Statistics a. Random Sampling b. Inferences c. Line Plot and Box-and-Whisker Plots d. Predictions e. Measures of Center and Variability

6 7 th Grade Math/General Math 7 Course Outline MAMS Textbook: Holt McDougal Mathematics Grade 7 ISBN: CHS Textbook: Holt McDougal Mathematics Course 3 ISBN: Numbers and Operations a. Mathematical Properties b. Rational Number Operations c. Rational Number Representations 2. Ratios, Rates and Proportions a. Unit Rates b. Proportions c. Application to Equations and the Coordinate Plane 3. Proportions and Percents a. Percent Conversions b. Percent Applications c. Proportions in the Coordinate Plane 4. Expressions, Equations and Inequalities a. Simplifying Variable Expressions b. Solving Multi-Step Equations & Inequalities 5. Geometry: Lines and Shapes a. Basic Angle Relationships (Parallel Lines & Transversal) b. Properties of Triangles 6. Measurement a. Area of Various Two-Dimensional Shapes b. Volume & Surface Area of Prisms c. Cross Sections of Three-Dimensional Shapes d. Scale Drawings 7. Probability a. Independent Events (Simple and Compound) b. Tree Diagrams c. Experimental verses Theoretical 8. Statistics a. Random Sampling b. Inferences c. Line Plot and Box-and-Whisker Plots d. Predictions e. Measures of Center and Variability

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