Mathematical ProcessesGLE 0806.1.2

I can identify the operations needed to solve a real-world problem.

I can write an equation to solve a real-world multi-step problem.

I can execute the order of operations needed to solve a real-world problem.

I can recognize a reasonable answer to a real-world problem.

Mathematical ProcessesGLE 0806.1.5

SPI 0806.1.2

Recognize the formulas for area and volume as nonlinear.

Identify the use of exponents as a determining factor of nonlinear equations.

I can interpret and create a graph from a given equation.

I can identify the graph as nonlinear or linear.I can create an equation from a given graph.I can model the given equation using algebraic

aerobics to represent the graph of the equation.

Mathematical ProcessesGLE 0806.1.7

I can relate the importance of Pythagoras to the development of mathematics.

I can use scientific notation to organize extremely large or extremely small pieces of data.

0806.1.5 Use age-appropriate books, stories, and videos to convey ideas of mathematics.

I can relate stories and books to mathematical ideas and concepts.

Mathematical ProcessesGLE 0806.1.8 SPI 0806.1.1 SPI 0806.1.3

I can create foldables to organize data relating to angles, their relationships, and their measurements.

I can recognize visual representations of angles as well as contextual. I can compare and contrast angles and their measurements. I can recognize relationships between two or more types of data. I can plot the coordinates of two sets of data on the same plane to create a

scatterplot. I can approximate the best line of fit for a given scatterplot. I can recognize that the best line of fit separates my data into equal parts. I can identify the operations needed to solve a real-world problem. I can write an equation to solve a real-world multi-step problem. I can execute the order of operations needed to solve a real-world problem. I can recognize a reasonable answer to a real-world problem

Number and OperationsGLE 0806.2.1 SPI 0806.2.1 SPI 0806.2.2

I can generate the answer for squaring numbers. I can verbalize the meaning of squaring a number. I can evaluate the square root of a number by either memorization

of the first 12 perfect squares or by the use a calculator for larger perfect squares or imperfect squares.

I can draw a Venn diagram to display the real number system. I can recognize the correct category or categories that describe my real

number. I can categorize real numbers into the correct subset. I can recognize that real numbers may belong to more than one subset. I can recognize that subsets overlap one another.

Number and OperationsGLE 0806.2.2

SPI 0806.2.3 SPI 0806.2.4

I can transform a number from standard form into scientific notation.

I can evaluate a number that is in exponential and scientific notation.

I can verbalize the importance of being able to represent the same number in various forms.

0806.2.7 Add, subtract, multiply, and divide numbers expressed scientific notation.

I can perform basic addition, subtraction, multiplication and division of numbers expressed in scientific notation.

Number and OperationsGLE 0806.2.3

I can solve a real-world problem containing rational and irrational numbers.

I can understand and apply that real-world problems involve powers and roots.

Number and OperationsGLE 0806.2.4

I can simplify problems involving products of powers with the same base.

I can simplify problems involving division of powers with the same base.

I can simplify problems involving raising a power to a power.

I can verbalize and compare the difference in the laws of exponents.

AlgebraGLE 0806.3.1

I can identify the operations needed to solve a problem.

I can execute the order of operations needed to solve a real-world problem.

AlgebraGLE 0806.3.2 SPI 0806.3.2 SPI 0806.3.3

I can write and solve an equation or inequality for the given situation. I can represent the solution of an equation or inequality on a number line. I can graph the solution set of an inequality on a number line. I can explain why the solution set is a region on the number line as compared to a point on

the number line. I can verbalize the inequality symbol and identify possible values of the solution set. I can evaluate a linear inequality containing two variables. I can demonstrate my understanding by following the correct procedure to solve inequalities. I can execute the correct procedure when an inequality requires multiplication or division by

a negative number. I can verbalize the necessity of the sign reversal. I can choose a variable to represent an unknown. I can apply operations and variables to solve contextual problems.

AlgebraGLE 0806.3.3 SPI 0806.3.1

I can identify the slope and y-intercept of the line to generate the number of solutions to a system.

I can recognize that systems with the same slope and different y-intercept will have no solutions.

I can recognize that systems with the same slope and the same y-intercept will have infinitely many solutions.

I can recognize that systems with different slopes and different y-intercepts will only intersect one time and therefore have one solution.

I can use elimination, substitution, or graphing to solve my systems.

AlgebraGLE 0806.3.4 SPI 0806.3.4 SPI 0806.3.6

I can identify the x and y intercepts of a line graphed on the coordinate plane. I can identify the x and y intercepts from an equation. I can identify the x and y intercepts from a table. I can recognize the slope of a line from an equation. I can measure the slope of a line graphed on a coordinate grid. I can evaluate x and y values from a table vertically to find the slope of a line. I can use the slope formula to find the slope of the line. I can evaluate a given function rule into a table of values. I can recognize and identify the x values as input, domain, and independent variables. I can recognize and identify the y values as output, range, and dependent variables. I can identify the pattern in a table to represent a linear function. I can identify the pattern in a table to represent a nonlinear function. I can plot the points of a table. I can self-check that the points on my line formed the linear or nonlinear function that was

predicted.

AlgebraGLE 0806.3.5. SPI 0806.3.5

I can identify the slope and y-intercept of the line to generate the number of solutions to a system.

I can recognize that systems with the same slope and different y-intercept will have no solutions.

I can recognize that systems with the same slope and the same y-intercept will have infinitely many solutions.

I can recognize that systems with different slopes and different y-intercepts will only intersect one time and therefore have one solution. I can recognize the slope of a line from an equation.

I can measure the slope of a line graphed on a coordinate grid. I can evaluate x and y values from a table vertically to find the slope of a line. I can use the slope formula to find the slope of the line. 0806.3.7 Analyze situations and solve problems involving constant rate of change. I can recognize and apply the constant rate of change in a contextual problem.

AlgebraGLE 0806.3.6 SPI 0806.3.7

I can conclude that a graph is nonlinear by examining the graph on a coordinate plane.

I can evaluate a table of values and recognize the pattern that is an indicator of a nonlinear function.

I can recognize exponents as one of the indicators of quadratic functions.

I can use the coefficient of x to determine my slope. I can identify that a constant rate of change is linear. I can identify that a variable rate of change is nonlinear. I can differentiate between constant and variable rates of

change and how they apply to linear and nonlinear functions.

Geometry and Measurement. GLE 0806.4.1 SPI 0806.4.1 SPI 0806.4.2

I can model the Pythagorean Theorem by using graph paper and drawing perfect squares from each leg of the triangle.

I can prove on graph paper that the sum of the legs squared equal the hypotenuse squared.

I can create a foldable designed to demonstrate the process used to find missing sides of a right triangle.

I can use the converse of the Pythagorean Theorem to prove that a triangle is right.

Geometry and Measurement. GLE 0806.4.2

SPI 0806.4.3

I can create foldables to organize data relating to angles, their relationships, and their measurements.

I can recognize visual representations of angles as well as contextual.

I can compare and contrast angles and their measurements

I can find missing measurements of angles formed by two parallel lines cut by the transversal.

Geometry and Measurement. GLE 0806.4.3

I can determine the appropriate measurement instrument needed to solve a given problem.

I can recognize the appropriate label for a given situation. I can determine which level of precision of measurement

is the best representation of a given situation. 0806.4.4 Understand how the precision of measurement

influences accuracy of quantities derived from these measurements.

I can understand and relate how relative the precision of measurement is to a given problem.

Geometry and Measurement. GLE 0806.4.4 SPI 0806.4.4

I can convert a unit of measurement when given a formula. (e.g. Celsius to Fahrenheit)

I can convert between systems fluently. (e.g. inches to feet)

I can use dimensional analysis to convert measurements. (eg. Miles per hour to miles per minute)

Geometry and Measurement. GLE 0806.4.5 SPI 0806.4.5

I can identify the cross-section that results from an intersection of a plane and a 3 dimensional figure.

I can identify the cross-section as being the base of the 3-dimensional figure when the slice is parallel to the base.

I can draw 2 and 3 dimensional figures.I can visualize the different views of the 2 and 3

dimensional figures.I can draw a net from the given 3-dimensional figure.I can draw a 3-dimensional figure from a given net.

Data Analysis, Statistics, and ProbabilityGLE 0806.5.1 events.

SPI 0806.5.1 SPI 0806.5.2

I can find the probability of a given simple event. I can relate the probability of a given simple event in the

form of a fraction, decimal, or percent. I can find the probability of a compound event. I can recognize that the word and means to multiply when

probability is involved. I can differentiate between dependent and independent

events. I can differentiate between experimental and theoretical

probability.

Data Analysis, Statistics, and ProbabilityGLE 0806.5.2 SPI 0806.5.3

I can create various types of graphs from given data. I can determine which type of graph gives the most favorable view

of the data. I can determine which type of graph gives the most accurate view of

the data. I can create box and whisker plots and scatterplots from sets of data. I can interpret results from these graphs. I can predict future results from studying the graph of present data. I can make conjectures about the population that was polled for the

data. I can divide my data to estimate a best line of fit. I can use this line to predict future results from this data.

Data Analysis, Statistics, and ProbabilityGLE 0806.5.3. SPI 0806.5.4

I can differentiate between dependent and independent events.

I can recognize when data has been gathered from a biased group.

I can create a data driven graph.I can analyze a given graph.I can report my findings for a given graph.I can differentiate between appropriate graphs and

displays and misleading graphs and displays.