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:

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:

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 |