 James L. Day Middle School
 Math 8
Triggs, Michelle
Page Navigation
Math 8

Math 8 Information
Math 8 Class Information Letter
Semester 1 Topics
Unit 1: Rigid Transformations and Congruence
Big Ideas

 Describe and perform translations, rotations, and reflections on a grid
 Determine whether two figures are congruent using rigid transformations
 Use transformations and angle relationships created by a transversal with parallel lines to determine unknown measurements
Required Skills

 Perform rotations, reflections, & translations on a grid and using coordinate rule
 Determine whether a transformation on a given twodimensional figure results in a congruent figure
 Describe a sequence of rigid transformations that would take one given figure to another
 Understand and use facts about angle sum and exterior angles of triangles, corresponding angles, alternate & sameside interior and exterior angles
Unit 2 – Dilation, Similarity, and Introducing Slope
Big Ideas

 Describe dilations in terms of their center and scale factor
 Dilate figures on and off coordinate plane
 Identify similar figures and properties of similar figures using transformations
 Explain slope in terms of similar triangles on same line and determine slopes of given lines
Required Skills

 Perform dilations
 Describe the effect of a transformation on a given twodimensional figure that creates a similar figure
 Describe the sequence of transformations that would take one given figure to another
 Understand and use facts about the angleangle criterion for similarity of triangles
Unit 3 – Proportional and Linear Relationships
Big Ideas

 Compare proportional relationships using their equations, tables, and graphs
 Interpret the intercepts and slope of a graph or equation of a linear relationship
 Use the concept that a graph represents all solutions of an equation to solve problems
Required Skills

 Identify and graph linear equations using table of values and using slope and yintercept
 Interpret rate of change and initial value of a linear relationship in terms of a situation it models

 Describe key elements of a graph (linear vs. nonlinear; increasing, decreasing, or constant intervals)
 Examine rates, ratios, and slope relationships
Unit 4 – Linear Equations and Linear Systems
Big Ideas

 Write and solve linear equations
 Use graphs and algebraic methods to solve systems of linear equations in two variables
Required Skills

 Review how to perform operations on rational numbers (add, subtract, multiply, & divide)
 Solve multistep linear equations with rational coefficients
 Identify whether a given linear equation will have one solution, no solution, or infinitely many solutions
 Model situations using linear equations
 Solve linear systems of equation by graphing, substitution, & elimination
Semester 2 Topics
Unit 5 – Functions and Volume
Big Ideas

 Determine whether or not graphs, tables, or rules represent functions
 Create and interpret graphs of functions that represent stories
 Calculate and compare volume of cylinders, cones, and spheres
 Use the relationships between height, radius, and volume to calculate missing dimensions
Required Skills

 Determine whether given relations are functions
 Interpret and compare functions described using different models: verbal descriptions, tables, algebraic expressions/equations, graphs
 Construct functions to model relationship between two quantities
 Use formulas for volumes of cones, cylinders, and spheres to solve problems
Unit 6 – Exponents and Scientific Notation
Big Ideas

 Identify and create equivalent expressions involving positive, negative, and zero exponents
 Express and perform operations with very large or very small quantities using powers of 10 and scientific notation
Required Skills

 Use rational exponents & rules of exponents to simplify expressions
 Convert numbers between standard form and scientific notation
 Perform operations (add, subtract, multiply, & divide) numbers written in scientific notation
Unit 7 – The Pythagorean Theorem and Irrational Numbers
Big Ideas

 Understand that square roots and cube roots represent the edge lengths of squares and cubes, and approximate their values
 Use the Pythagorean theorem and its converse to reason about right triangles and find unknown measurements
 Determine fractions and decimal approximations for rational and irrational numbers
Required Skills

 Convert terminating and repeating decimals to fractions and viceversa
 Identify whether real numbers are rational or irrational, locate on number line, and compare
 Take the square root and cube root of a given number, estimate roots if not perfect
 Solve simple equations involving square roots and cube roots
 Prove the Pythagorean Theorem using visual proof
 Use Pythagorean Theorem to solve problems, such as finding distance between two points and unknown side lengths of a right triangle
Unit 8 – Association in Data
Big Ideas

 Examine different ways to organize bivariate data (scatter plots & twoway tables)
 Use scatter plots and fitted lines to analyze numerical data and identify associations
 Use twoway tables and bar graphs to identify associations in categorical data
Required Skills

 Construct and interpret scatter plots
 Discuss patterns (clustering, outliers, and association)
 Draw lines of best fit, find their equations, and use to make interpolations/extrapolations
 Construct and investigate patterns of associations that occur in twoway frequency tables


Links to Other Web Sites
Please be advised that following these links will take you off the school web site.
The school is not responsible for the content.
Signin to CLEVER app to access
 the California Math CCSS Course 3 online textbook
 iReady
Students will receive initial log on instructions in class for Delta Math and Desmos.
The sites below do not need a code.