1. Common Core State Standards
2. Math
3. Content

Grade 8

Outcomes

• The Number System
  • Know That There Are Numbers That Are Not Rational, And Approximate Them By Rational Numbers.
    • 8.NS.1
      Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
      Play Activities 11
      Examples
• Expressions And Equations
  • Work With Radicals And Integer Exponents.
    • 8.EE.1
      Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 x 3-5 = 3-3 = 1/33 = 1/27.
      Play Activities 4
      Examples
    • 8.EE.2
      Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that _2 is irrational.
      Play Activities 47
      Examples
    • 8.EE.3
      Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 x 108 and the population of the world as 7 x 109, and determine that the world population is more than 20 times larger.
      Play Activities 48
      Examples
  • Understand The Connections Between Proportional Relationships, Lines, And Linear Equations.
    • 8.EE.5
      Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
      Play Activities 2
      Examples
  • Analyze And Solve Linear Equations And Pairs Of Simultaneous Linear Equations.
    • 8.EE.7
      Solve linear equations in one variable.
      Play Activities 13
      Examples
    • 8.EE.7.b
      Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
      Play Activities 9
      Examples
    • 8.EE.8
      Analyze and solve pairs of simultaneous linear equations.
      Play Activities 6
      Examples
    • 8.EE.8.a
      Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
      Play Activities 6
      Examples
• Functions
  • Define, Evaluate, And Compare Functions.
    • 8.F.1
      Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.1
      Play Activities 32
      Examples
    • 8.F.2
      Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
      Play Activities 2
      Examples
    • 8.F.3
      Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
      Play Activities 2
      Examples
  • Use Functions To Model Relationships Between Quantities.
    • 8.F.4
      Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
      Play Activities 2
      Examples
• Geometry
  • Understand Congruence And Similarity Using Physical Models, Trans- Parencies, Or Geometry Software.
    • 8.G.1
      Verify experimentally the properties of rotations, reflections, and translations:
      Play Activities 33
      Examples
    • 8.G.3
      Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
      Play Activities 27
      Examples
    • 8.G.5
      Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.
      Play Activities 15
      Examples
  • Understand And Apply The Pythagorean Theorem.
    • 8.G.7
      Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
      Play Activities 4
      Examples
  • Solve Real-World And Mathematical Problems Involving Volume Of Cylinders, Cones, And Spheres.
    • 8.G.9
      Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
      Play Activities 14
      Examples
• Statistics And Probability
  • Investigate Patterns Of Association In Bivariate Data.
    • 8.SP.4
      Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. For example, collect data from students in your class on whether or not they have a curfew on school nights and whether or not they have assigned chores at home. Is there evidence that those who have a curfew also tend to have chores?
      Play Activities 5
      Examples