# Math Department

Math Info & Syllabus

Learning Targets 2nd & 3rd Quarters

*Functions & Descriptive Graphs

I can identify the domain and range of a relation.

I can determine if a graph represents a function.

I can determine if a set of points represents a function.

I can calculate the y-value for an equation when given the x-value.

I can create a table for an equation.

I can determine if a table represents a function.

I can represent a function in the form of ordered pairs, mapping, graph, or listing.

I can graph functions in a coordinate plane.

I can read inputs and outputs from a graph of a function on a coordinate plane.

I can identify equations as linear or nonlinear.

I can explain how slope changes when given a graph.

I can sketch a graph when given the description of the slope.

I can evaluate and describe properties based on a given graph.

I can analyze the graph for a functional relationships.

I can create a graph for a functional relationships.

I can sketch a graph by analyzing a situation that has been described verbally.

Learning Targets 3rd Quarter

*Scatter Plots & Frequency Tables

I can graph a set of points.

I can interpret scatter plot as linear or nonlinear.

I can interpret the graph as strong correlation (clustering) or weak (outliers).

I can construct a scatter plot on a plane using two variables.

I can investigate the relationship between two quantities on a scatter plot.

I can analyze the trend of a scatter plot and determine whether there is a positive, negative(linear), or no relationship(non-linear).

I can predict future outcomes using a scatter plot.

I can use a straight line of best fit to model the relationships between two sets of data.

I can graph the equation to demonstrate how the data is related.

I can use the line of best fit to determine an equation in two variables for the data (y=mx + b).

I can use slope intercept form (y= mx + b) to determine the slope and y-intercept of the line of best fit.

I can interpret the meaning of the slope and y-intercept in the context of the data given.

I can determine relevant information from graph.

I can create a frequency table with collected data.

I can interpret a frequency table.

I can determine if there is a correlation between the information.

I can read a graph to determine a correlation Construct a graph based on information given.

I can make predictions and analyze the data between the variables in the frequency table.

I can justify and defend the accuracy of my predictions.

Learning Targets 2nd Quarter

*Linear Equations

I can compare graphs, tables, and equations of proportional relationships.

I can interpret unit rate as slope.

I can identify the unit rate (slope) in graphs.

I can identify the unit rate (slope) in tables.

I can identify the unit rate (slope) in equations.

I can compare two proportional relationships represented in different ways.

I can graph proportional relationships.

I can compare the rate of change of two functions in different representations

I can compare the starting point of two functions in different representations.

I can generate ordered pairs by substituting zero for the input or the output value.

I can categorize functions represented in tables, graphs and equations as linear or nonlinear.

I can define a linear equation as having a constant rate of change.

I can identify the rate of change (slope) from tables, graphs, equations or verbal descriptions.

I can identify the initial value (y-intercept) from tables, graphs, equations or verbal descriptions.

I can write a function (linear equation) using the rate of change and initial value.

I can relate the connection between the equation and the x -values and the y -values.

I can interpret the rate of change and initial value of a linear function in context.

I can identify zero slopes and no slopes.

I can write an equation if given a point and the slope.

I can write an equation if given two points.

I can explain any restrictions on the x--values of a function in context.

I can construct triangles between two points on a line.

I can compare the legs of triangles drawn on the same line to prove constant rate of change (slope).

I can prove that slope is rise over run.

I can graph a line when given an equation in slope -intercept form.

I can write an equation in slope-intercept form from a given line passing through the origin on a coordinate plane.(y=mx)

I can write an equation in slope-intercept form from a given line not passing through the origin on a coordinate plane.(y=mx+b)

I can interpret the meaning of the numbers in slope- intercept form.

Learning Targets 1st Quarter

*Conversions

I can convert between fractions, decimals and percents. (review)

I can convert repeating decimals to fractions. (new)

*Equations

I can solve two-step equations using inverse operations. (review)

I can solve one-variable equations involving the distributive property. (new)

I can solve one-variable equations involving combining like terms. (new)

I can solve one-variable equations having variables on both sides of the equation. (new)

I can translate verbal descriptions into equations. (review & new)

*Transversals

I can determine the value of a missing interior angle given the value of one interior angle & an exterior angle.

I can determine the value of a missing exterior angle given the value of interior angles.

I can determine missing angles within a set of similar triangles.

I can determine missing angles within a set of parallel lines cut by a transversal.

*Transformations

I can match the lengths of line segments, angle measures, and the parallel line characteristics of an image and its pre-image that has been translated, reflected, or rotated.

I can define a rigid transformation.

I can verify the congruency of an image and its pre-image that has been translated, reflected, or rotated.

I can describe a sequence of transformations that were used to create an image from its pre-image.

I can perform a series of transformations to prove or disprove that two given figures are congruent.

I can identify new coordinates after translating, reflecting, or rotating a figure.

I can identify new coordinates after dilating a figure.

I can describe the changes that happen to the x and y coordinates of a figure after a translation, reflection, rotation, or dilation.

I can define similarity.

I can dilate a figure.

I can identify the scale factor after a dilation.

I can define a scale factor.

I can explain how transformations can be used to prove that two figures are similar.

I can describe a sequence of transformations to prove or disprove two given figures are similar.

Major Works 40%

Minor Works 35%

Class/Homework 25%

1st Quarter

*Unit 0~Review~Conversions

*Unit 1~Equations

*Unit 2~Transversals

*Unit 3~Transformations

2nd Quarter

*Unit 4~Linear Equations

*Unit 5~Functions & Descriptive Graphs

3rd Quarter

*Unit 7~Systems of Equations

*Unit 8~Number Systems

*Unit 9~Exponents & Roots

*Unit 10~Scientific Notation

4th Quarter

*Unit 11~Pythagorean Theorem

*Unit 12~Volume and Formulas