COURSE WORK
7th, Pre-Algebra, and Algebra
7th Grade Topics
Topic 1: Integers and Rational Numbers: Students will apply and extend previous understandings of operations with fractions.
Topic 2: Analyze and Use Proportional Relationships: Students will analyze proportional relationships and use them to solve real-world and mathematical problems.
Topic 3: Analyze and Solve Percent Problems: Students will analyze proportional relationships and use them to solve real-world and mathematical problems.
Topic 4: Generate Equivalent Expressions: Students will use properties of operations to generate equivalent expressions. Students will also solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Topic 5: Solve Problems Using Equations and Inequalities: Students will solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Topic 6: Use Sampling to Draw Inferences About Populations: Students will use random sampling to draw inferences about a population. Students will also draw informal comparative inferences about two populations.
Topic 7: Probability: Students will investigate chance processes and develop, use, and evaluate probability models.
Topic 8: Solve Problems Involving Geometry: Students will draw, construct, and describe geometrical figures and describe the relationships between them. Students will also solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
Topic 1: Integers and Rational Numbers: Students will apply and extend previous understandings of operations with fractions.
Topic 2: Analyze and Use Proportional Relationships: Students will analyze proportional relationships and use them to solve real-world and mathematical problems.
Topic 3: Analyze and Solve Percent Problems: Students will analyze proportional relationships and use them to solve real-world and mathematical problems.
Topic 4: Generate Equivalent Expressions: Students will use properties of operations to generate equivalent expressions. Students will also solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Topic 5: Solve Problems Using Equations and Inequalities: Students will solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Topic 6: Use Sampling to Draw Inferences About Populations: Students will use random sampling to draw inferences about a population. Students will also draw informal comparative inferences about two populations.
Topic 7: Probability: Students will investigate chance processes and develop, use, and evaluate probability models.
Topic 8: Solve Problems Involving Geometry: Students will draw, construct, and describe geometrical figures and describe the relationships between them. Students will also solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
Pre-Algebra Topics
Topic 1: The Real Numbers: Students will know that there are numbers that are not rational, and approximate them by rational numbers.
Topic 2: Algebraic Expressions: Students will work with radicals and integer exponents
Topic 3: Equations and Inequalities: Students will understand the connections between proportional relationships, lines, and linear equations.
Topic 4: Functions and Linear Relationships: Students will define, evaluate and compare functions. Students will use functions to model relationships between quantities.
Topic 5: Systems of Equations: Students will analyze and solve linear equations and pairs of simultaneous linear equations.
Topic 6: Geometry: Students will understand congruence and similarity using physical models, transparencies, or geometry software. Students will use the Pythagorean Theorem.
Topic 7: Measurement with Area and Volume: Students will solve real-world mathematical problems involving volume of cylinders, cones, and spheres.
Topic 8: Probability and Statistics: Students will investigate patterns of association in bi-variate data.
Topic 1: The Real Numbers: Students will know that there are numbers that are not rational, and approximate them by rational numbers.
Topic 2: Algebraic Expressions: Students will work with radicals and integer exponents
Topic 3: Equations and Inequalities: Students will understand the connections between proportional relationships, lines, and linear equations.
Topic 4: Functions and Linear Relationships: Students will define, evaluate and compare functions. Students will use functions to model relationships between quantities.
Topic 5: Systems of Equations: Students will analyze and solve linear equations and pairs of simultaneous linear equations.
Topic 6: Geometry: Students will understand congruence and similarity using physical models, transparencies, or geometry software. Students will use the Pythagorean Theorem.
Topic 7: Measurement with Area and Volume: Students will solve real-world mathematical problems involving volume of cylinders, cones, and spheres.
Topic 8: Probability and Statistics: Students will investigate patterns of association in bi-variate data.
Algebra Topics
Topic 1: Relationships Between Quantities and Reasoning with Equations: Students will analyze and explain the process of solving an equations, develop fluency writing, interpreting, and translating between various forms of linear equations and inequalities and using them to solve problems.
Topic 2: Linear and Exponential Relationships: Students will learn function notation and develop the concepts of domain and range, functions, and sequences.
Topic 3: Descriptive Statistics: Students will use regression techniques to describe the approximate linear relationships between quantities, graphical representations and make judgments about linear models.
Topic 4: Expressions and Equations: Students will extended the laws of exponents to rational exponents to rational exponents and will create quadratic and exponential expressions and solve equations, inequalities and systems of equations involving quadratic expressions.
Topic 5: Quadratic Functions and Modeling: Students will compare key characteristics of quadratic functions to those of linear and exponential functions. Students will graph a quadratic function by interpreting various forms of quadratic expressions.
Topic 1: Relationships Between Quantities and Reasoning with Equations: Students will analyze and explain the process of solving an equations, develop fluency writing, interpreting, and translating between various forms of linear equations and inequalities and using them to solve problems.
Topic 2: Linear and Exponential Relationships: Students will learn function notation and develop the concepts of domain and range, functions, and sequences.
Topic 3: Descriptive Statistics: Students will use regression techniques to describe the approximate linear relationships between quantities, graphical representations and make judgments about linear models.
Topic 4: Expressions and Equations: Students will extended the laws of exponents to rational exponents to rational exponents and will create quadratic and exponential expressions and solve equations, inequalities and systems of equations involving quadratic expressions.
Topic 5: Quadratic Functions and Modeling: Students will compare key characteristics of quadratic functions to those of linear and exponential functions. Students will graph a quadratic function by interpreting various forms of quadratic expressions.