Grade 8 Standards
The Number System
• Know that there are numbers that are not rational, and approximate them by rational numbers.
• Use rational number approximations of irrational numbers to compare size and placement on a number line.
Expressions and Equations
• Know and apply the properties of integer exponents to generate equivalent numerical expressions
• Use square roots and cube roots to represent solutions to equations
• Use number expressed in scientific notation to estimate large and small numbers
• Perform operations with numbers expressed in scientific notation
• Graph proportional relationships, interpreting the unit rate as the slope of the graph
• Use similar triangles to explain slope: Parallel and perpendicular lines
• Solve linear equations in one variable:
a. One solution, no solution, infinite solutions
b. Rational number coefficients, expanding by using the distributive property
• Analyze and solve pairs of simultaneous equations
a. Understanding that solutions of the system of equations correspond to the points of intersection on a graph
b. Solve systems in two variables both algebraically and through estimation on a graph
c. Solve real world and mathematical problems using system of equations with two variables
Functions
• Define, evaluate, and compare functions.
• Compare properties of two functions in different ways: algebraically, graphically, numerically in tables, or using verbal descriptions
• Use functions to model relationships between quantities.
• Comparing linear and nonlinear functions
Geometry
• Verify experimentally the properties of rotation, reflection, translation
• Describe the effect of dilation, translations, rotations, and reflections
• Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of
transformations
• Use informal arguments to establish facts about the angle sum and exterior angle of triangles, angles created by a transversal
cutting parallel lines
• Understand and apply the Pythagorean Theorem.
• Apply the Pythagorean Theorem to the distance between two points in a coordinate system
• Solve real-world and mathematical problems involving volume of cylinders, cones and spheres.
Statistics and Probability
• Construct and interpret scatter plots
• Know that linear widely used to model relationships between two quantitative variables
• Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and
intercept
Standards for Mathematical Practices -
• Make sense of problems and persevere in solving them.
• Reason abstractly and quantitatively.
• Construct viable arguments and critique the reasoning of others.
• Model with mathematics
• Use appropriate tools strategically.
• Attend to precision.
• Look for and make use of structure.
• Look for and express regularity in repeated reasoning.
The Number System
• Know that there are numbers that are not rational, and approximate them by rational numbers.
• Use rational number approximations of irrational numbers to compare size and placement on a number line.
Expressions and Equations
• Know and apply the properties of integer exponents to generate equivalent numerical expressions
• Use square roots and cube roots to represent solutions to equations
• Use number expressed in scientific notation to estimate large and small numbers
• Perform operations with numbers expressed in scientific notation
• Graph proportional relationships, interpreting the unit rate as the slope of the graph
• Use similar triangles to explain slope: Parallel and perpendicular lines
• Solve linear equations in one variable:
a. One solution, no solution, infinite solutions
b. Rational number coefficients, expanding by using the distributive property
• Analyze and solve pairs of simultaneous equations
a. Understanding that solutions of the system of equations correspond to the points of intersection on a graph
b. Solve systems in two variables both algebraically and through estimation on a graph
c. Solve real world and mathematical problems using system of equations with two variables
Functions
• Define, evaluate, and compare functions.
• Compare properties of two functions in different ways: algebraically, graphically, numerically in tables, or using verbal descriptions
• Use functions to model relationships between quantities.
• Comparing linear and nonlinear functions
Geometry
• Verify experimentally the properties of rotation, reflection, translation
• Describe the effect of dilation, translations, rotations, and reflections
• Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of
transformations
• Use informal arguments to establish facts about the angle sum and exterior angle of triangles, angles created by a transversal
cutting parallel lines
• Understand and apply the Pythagorean Theorem.
• Apply the Pythagorean Theorem to the distance between two points in a coordinate system
• Solve real-world and mathematical problems involving volume of cylinders, cones and spheres.
Statistics and Probability
• Construct and interpret scatter plots
• Know that linear widely used to model relationships between two quantitative variables
• Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and
intercept
Standards for Mathematical Practices -
• Make sense of problems and persevere in solving them.
• Reason abstractly and quantitatively.
• Construct viable arguments and critique the reasoning of others.
• Model with mathematics
• Use appropriate tools strategically.
• Attend to precision.
• Look for and make use of structure.
• Look for and express regularity in repeated reasoning.
Textbooks -
Books will be used to assist the students to develop a greater understanding of the common core.
Big Ideas Math - Big Ideas Learning
Chapter 1 - Equations: one variable, multi-step equations, variable both sides, rewriting equations and formulas
Chapter 2 - Transformations: congruent figures, translations, reflections, rotations, similar figures, perimeter and area, dilations
Chapter 3 - Angles and triangles: parallel lines with transversal, angles of triangles, angles of polygons, similar triangles
Chapter 4 - Graphing and writing linear equations: slope of a line, graphing proportional relationships, slope-intercept form, standard form
Chapter 5 - Systems of linear equations: solving systems using substitution, elimination, graphing
Chapter 6 - Functions: relations, linear functions, comparing linear and nonlinear functions, analyzing and sketching graphs
Chapter 7 - Pythagorean Theorem: square roots, cube roots, approximating roots, using the Pythagorean Theorem
Chapter 8 - Volume and Similar Solids: Volume of cylinders, cones, spheres, surface area of similar solids
Chapter 9 - Data Analysis and Displays: Scatter plots, lines of fit, two way tables, choosing a data display
Chapter 10 - Exponents and scientific notation: Exponents, Properties of exponents, reading and writing scientific notation, operations with scientific notation
Chapter 2 - Transformations: congruent figures, translations, reflections, rotations, similar figures, perimeter and area, dilations
Chapter 3 - Angles and triangles: parallel lines with transversal, angles of triangles, angles of polygons, similar triangles
Chapter 4 - Graphing and writing linear equations: slope of a line, graphing proportional relationships, slope-intercept form, standard form
Chapter 5 - Systems of linear equations: solving systems using substitution, elimination, graphing
Chapter 6 - Functions: relations, linear functions, comparing linear and nonlinear functions, analyzing and sketching graphs
Chapter 7 - Pythagorean Theorem: square roots, cube roots, approximating roots, using the Pythagorean Theorem
Chapter 8 - Volume and Similar Solids: Volume of cylinders, cones, spheres, surface area of similar solids
Chapter 9 - Data Analysis and Displays: Scatter plots, lines of fit, two way tables, choosing a data display
Chapter 10 - Exponents and scientific notation: Exponents, Properties of exponents, reading and writing scientific notation, operations with scientific notation
Math in Focus: Course 3
Book A
Number System - exponents, exponential notation, exponential properties, negative exponents, squares and cubes, scientific notation
Expressions and equations - linear equations with one variable, linear equations with two variables, one solution, no solutions and infinite solutions, lines and linear equations, systems of equations using different methods Functions - relations, linear and nonlinear functions, |
Book B
Geometry - Pythagorean Theorem with distance and working with solids, geometric transformations: translations, reflections, rotations, dilations, congruence and similarity
Statistics - scatter plots, best line of fit, two way tables Probability - compound events, independent and dependent events |