8th - I Can Statements

Unit: Linear Relationships

· I can state that the y-intercept of a proportional relationship is (0,0).

· I can graph a proportional relationship.

· I can state that the unit rate can be represented as the slope of a graph.

· I can find the unit rate from a table, graph, or equation.

· I can compare unit rates of various proportional relationships.

· I can find the slope using rise/run on a graph.

o I can draw right triangles on a graph to compute the slope.

o I can compare the slope of various sets of two points from the same line using rise/run.

o I can compare the ratios of rise/run for pairs of points on a line.

o I can show that all ratios of two points on a line are equal.

· I can state that y = mx means that m is the slope and the y-intercept is (0,0).

· I can state that y = mx + b means that m is the slope and the y-intercept is (0, b).

· I can look at a table and decide whether it is linear or not.

· I can look at an equation and decide whether it is linear or not.

· I can look at a graph and decide whether it is linear or not.

· I can tell if a real life situation is linear.

· I can compare two linear representations.

· I can solve a two-step equation and show my work algebraically.

· I can use the slope formula to find the slope.

· I can write a linear equation from two points (the two points can be given as two points, on a line, graph, table, or situation)

· I can find the y-intercept given two points.

· I can interpret the meaning of slope and the y-intercept from a situation or two points.

Unit: Number System

· I can use the exponent rules to simplify integer expressions

• 3⁴ x 3⁵

• 3^-5

• 3⁴/3⁵

• (3²)⁴

· I can write an estimate of a large and/or small quantity in scientific notation

· I can write numbers in scientific notation

· I can convert from standard form to scientific notation and vice versa

· I can add and subtract numbers in scientific notation

· I can multiply and divide numbers in scientific notation

· I can find a square root

· I can identify a perfect square

· I recognize that finding the square root is the opposite of squaring a number

· I can find a cube root

· I can find a perfect cube

· I can classify a number as rational or irrational

· I can convert a repeating decimal into a rational number

· I can estimate square roots

· I can locate an irrational number on a number line

· I can use estimates to compare two irrational numbers

· I can use visual models to demonstrate the Pythagorean Theorem

· I can use the Pythagorean Theorem to find missing side lengths

· I can use the Pythagorean Theorem to determine if a triangle is a right triangle

· I can solve real life problems using the Pythagorean Theorem

· I can draw a diagram to find right triangles in a 3 dimensional figure and use the Pythagorean Theorem to calculate various dimensions

· I can use the Pythagorean Theorem to find the distance between two points

Unit: Equations

· I can combine like terms

· I can use the distributive property and combine like terms

· I can solve equations with grouping symbols

· I can solve equations with variables on both sides

· I can determine if an equation has 1 solution, zero solutions, or an infinite number of solutions

· I can solve a system of linear equations by graphing (slope intercept and standard form).

· I can interpret my solution in the context of the problem

Unit: Systems

· I can solve a system of linear equations by graphing (slope intercept and standard form).

· I can solve a system of linear equations algebraically (substitution).

· I can determine if a system has 1 solution, zero solutions, or an infinite number of solutions

· I can interpret my solution in the context of the problem

Unit: Functions & Statistics

· I understand that for every input there is only one output.

· I can show the relationship between input and outputs of function by graphing

· I can evaluate a function and use the term f(x)

· I can compare two functions and describe their rates and y-intercepts

· I can compare the graphs of functions

· I can compare two functions that have different representations (graph, table, etc.)

· I can explain why the equation y=mx+b represents a linear function

· I can interpret slope and y-intercept of a linear function

· I can give examples of nonlinear functions

· I can analyze a table to determine if it is linear or nonlinear

· I can create a table of values that is nonlinear

· I can match a graph of a function to a given situation

· I can write a story that describes a graph

· I can create a graph for a story

· I can plot ordered pairs on a coordinate grid

· I can interpret a scatterplot

· I can determine if a scatterplot has a linear or nonlinear association

· I can draw a trend line for a scatterplot with a linear association

· I can determine if a trend is a good model for the data

· I can write the equation of the trend line

· I can make predictions based on the equation for the trend line

· I can construct a two way table to record the relative frequencies

· I can determine the relative frequencies for rows and/or columns of a two way table

· I can make predictions based on my relative frequencies

Unit: Geometry

· I can state that after a translation, the corresponding lines, line segments measurements, angle measurements, and parallel lines remain the same.

· I can state that after a reflection, the corresponding lines, line segments measurements, angle measurements, and parallel lines remain the same.

· I can state that after a rotation, the corresponding lines, line segments measurements, angle measurements, and parallel lines remain the same.

· I can prove that two figures are congruent based on transformations.

· I can use reflections, rotations, and/or translations to prove or disprove that two figures are congruent.

· I can use the coordinates to describe the results of a dilation

· I can use the coordinates to describe the results of a reflection

· I can use the coordinates to describe the results of a rotation

· I can use the coordinates to describe the results of a translation

· I can prove that two figures are similar using transformation

· I can identify a sequence of transformations that prove whether two figures are similar

· I can prove that the sum of a triangle’s interior angles is the same measure as a straight angle (tearing off angles of a triangle)

· I can state the relationships and measurements of the angles created when two parallel lines are cut by a transversal

· I can determine if two triangles are similar based on angle measurement

· I can find the volume of a cylinder

· I can find the volume of a cone

· I can find the volume of a sphere

· I can solve real world problems involving the volume of cylinders, cones, and spheres