# Math 8th

The major math strands for the eighth-grade curriculum are number sense and operations, data analysis and probability, geometry, measurement, and algebra.

Mathematics  8th  YAG

 Unit Topic Days Date Range 01 Value and Magnitude of Rational Numbers 7 Aug. 23-Sept 31 03 One-Variable Equations, Inequalities, and their Applications 12 Sept. 4 – 20 04 Developing an Understanding of Slope and Y-Intercept 11 Sept 24 – Oct 9 05 Proportional and Non-Proportional Functions 13 Oct. 10 – 26 02 Statistics with Univariate Data 6 Oct 30 – Nov. 6 06 Statistics with Bivariate Data 8 Nov. 7-16 07 Transformational Geometry 14 Nov. 27- Dec. 14 08 Angle and Triangle Relationships involving Real Numbers 16 Jan. 9-25 09 Measurement of Three-Dimensional Figures 13 Feb. 4-22 11 Financial Planning 8 Feb. 26 – March 7 10 Making Connections 12 March 18- April 4 12 Essential Understandings of Algebra 20 April 11-May 10

8th Grade Math students will be expected to:

• Use a calculator and other resources to solve real-world mathematical problems.
• Represent and use rational numbers in a variety of forms (ordering numbers, represent numbers using scientific notation, etc.).
• Use proportional relationships to describe dilations.
• Explain proportional and non-proportional relationships involving slope.
• Use proportional and non-proportional relationships to develop foundational concepts of functions.
• Develop mathematical relationships and make connections to geometric formulas.
• Use geometry to solve problems.
• use one-variable equations or inequalities in problem situations.
• Use multiple representations to develop foundational concepts of simultaneous linear equations.
• Identify and verify the values of x and y that simultaneously satisfy two linear equations in the form y = mx + b (from the intersections of the graphed equations).
• Develop transformational geometry concepts.
• use statistical procedures to describe data.
• Develop an economic way of thinking and problem to be a knowledgeable consumer and investor.

## Math 8th Syllabus

1st Six Weeks

Real Numbers

*Using visual representation to describe relationships between sets of real numbers

*Approximate the value of an irrational number, and locate on a number line

*Convert between standard decimal notation and scientific notation

*Order a set of real numbers arising from mathematical and real- world contexts

Vocabulary:

• Real Numbers, Rational Number, Irrational Number, Natural Numbers, Whole Numbers, Integers, Square, Square Root, Scientific Notation, Exponent, π,

Equations and Inequalities and their Applications

*Algebraic Expressions and Equations

*Write one-variable equations and inequalities and real-world problem to correspond with equation

Vocabulary:

Equation, Variable, Coefficient, Constant, Equivalent, Inverse, Sum, Difference, Product, Quotient, Distributive Property, Like Terms, Inequality, Less Than, Greater Than, Equal to

Coordinate Plane

*Graph points (ordered pairs) on a coordinate plane.

*Graph a linear equation

*Identify and verify the values of x and y that simultaneously satisfy two linear equations in the form y = mx + b from the intersections of the graphed equations

Vocabulary:

• coordinate plane, graph, integer, negative integer, opposites, ordered pair, origin, positive integer, quadrant, x-axis, x-coordinate, y-axis, y-coordinate

2nd Six Weeks

Proportionality Relationships

*Graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship

*represent linear proportional situations with tables, graphs, and equations in the form of y = kx

*Use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems

Developing an Understanding of Slope

* Determine the rate of change or slope and y-intercept from table or graph

*Write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations

*Solve problems involving direct variation

*Proportional and non-proportional functions that arise from mathematical and real-world problem

*distinguish between proportional and non-proportional situations using tables, graphs, and equations in the form y=kx or y=mx+b, where b≠0

Vocabulary:

Proportion, Constant of Proportionality, Ratio, Rate, Equivalent Ratios, Rate of change, Similar Figures, Scale Drawing, Scale Model, Scale factor, Indirect Measurement

3rd Six Weeks

Pythagorean Theorem

*Use models and diagrams to explain the Pythagorean theorem

*determine the distance between two points on a coordinate plane using the Pythagorean theorem *Use the Pythagorean theorem and its converse to solve problems

Vocabulary:

Right Triangle, Hypotenuse, Legs of triangle, Exponent, Square Root, Square Number, Perfect Square, Pythagorean Theorem

Transformations

*Generalize the properties of orientation and differentiate between congruence of transformations on a coordinate plane

Vocabulary:

Transformation, Reflection, Rotation, Dilation, Translation, Dilation Factor, Center of Dilation, Scale Factor, Corresponding Angles, Corresponding Sides, Reflection Line, Point of Rotation, Angle of Rotation, Isometry, Pre-Image, Image.

Measurement/Data

Statistics with Bivariate Data

*Construct a scatterplot and describe the observed data to address questions of association such as linear, non-linear, and no association between bivariate data

*Determine the mean absolute deviation using a data set of no more than 10 data points

*Contrast bivariate sets of data that suggest a linear relationship with bivariate sets of data that do not suggest a linear relationship from a graphical representation

*Use a trend line that approximates the linear relationship between bivariate sets of data to make predictions

Vocabulary:

Scatterplot, Correlation, Line of best fit, Linear Interpolation, Positive Correlation, Negative Correlation

4th Six Weeks

Angle and Triangle Relationships involving Real Numbers

*Use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles

Geometry

*Measurement of Three-Dimensional Figures

*model the effect of measurement with dilation

*Solve problems involving the volume of cylinder and describe it’s formula

*Use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders

Vocabulary:

Cube, Rectangular Prism, Triangular Prism, Sphere, Cone, Cylinder, Pyramid, Volume, Face, Edge,

5th Six Weeks

Making Connections

Financial Planning

Personal Financial Literacy

*Solve real-world problems comparing how interest rate (simple and compound) and loan length affect the cost of credit

*Explain how small amounts of money invested regularly grows over time

*Calculate the total cost of repay a loan

*Analyze situations to determine if they represent financially responsible decisions and identify the benefits of financial responsibility and the costs of financial irresponsibility

Vocabulary:

Budget, Credit, Credit Report, Credit Card, Debit Card, Checking Account, Savings Account, Direct Deposit, Overdraft, Annual Percentage Rate (APR), Annual Percentage Yield (APY), Principal, Interest, Variable Interest Rate, Fixed Interest Rate

6th Six Weeks

The Study of Functions

Statistics with Univariate Data

• Appropriate use of statistics, representations of data, and concepts of probability to draw conclusions

Vocabulary:

• Mean, Median, Mode, Range, Dependent Event, Independent Event