PENNSYLVANIA. Page 1 of 4. A Essential Create, interpret, and/or use the equation, graph, or table of a linear function.

Transcription

1 Know: Understand: Do: A Essential Create, interpret, and/or use the equation, graph, or table of a linear function. A Essential Translate from one representation of a linear function to another (i.e., graph, table, and equation). A Essential Identify, describe, and/or use constant rates of change. Students will understand that linear functions can be expressed with equations, tables, mappings, graphs, and applied to real life situations. A Essential Create, interpret, and/or use the equation, graph, or table of a linear function. A Essential Translate from one representation of a linear function to another (i.e., graph, table, and equation). A Essential Identify, describe, and/or use constant rates of change. A Essential Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically.identify, describe, and/or use constant rates of change. A Essential Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically. A Essential Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table). CC.2.2.HS.D.7 Essential Create and graph equations or inequalities to describe numbers or relationships. CC.2.2.HS.D.10 Essential Represent, solve and interpret equations/ inequalities and systems of equations/inequalities algebraically and graphically. A Essential Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table). CC.2.2.HS.D.7 Essential Create and graph equations or inequalities to describe numbers or relationships. CC.2.2.HS.D.10 Essential Represent, solve and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically. 1 Essential Make sense of problems and persevere in solving them. 2 Essential Reason abstractly and quantitatively. 3 Essential Construct viable arguments and critique the reasoning of others. 4 Essential Model with mathematics. Page 1 of 4

2 Know: Understand: Do: 1 Essential Make sense of problems and persevere in solving them. 2 Essential Reason abstractly and quantitatively. 3 Essential Construct viable arguments and critique the reasoning of others. 4 Essential Model with mathematics. 5 Essential Use appropriate tools strategically. 6 Essential Attend to precision. 5 Essential Use appropriate tools strategically. 6 Essential Attend to precision. 7 Essential Look for and make use of structure. 8 Essential Look for and express regularity in repeated reasoning. A Essential Write, solve, and/or apply a linear equation (including problem situations). A Essential Make predictions using the equations or graphs of bestfit lines of scatter plots. A Essential Determine whether a relation is a function, given a set of points or a graph. 7 Essential Look for and make use of structure. 8 Essential Look for and express regularity in repeated reasoning. A Essential Write, solve, and/or apply a linear equation (including problem situations). A Essential Determine whether a relation is a function, given a set of points or a graph. Page 2 of 4

3 Which standards are students learning in this unit? A Essential Create, interpret, and/or use the equation, graph, or table of a linear function. A Essential Translate from one representation of a linear function to another (i.e., graph, table, and equation). A Essential Identify, describe, and/or use constant rates of change. A Essential Apply the concept of linear rate of change (slope) to solve problems. A a Essential Write or identify a linear equation when given: the graph of the line. A b Essential Write or identify a linear equation when given: two points on the line. A c Essential Write or identify a linear equation when given: the slope and a point on the line. A Essential Determine the slope and/or yintercept represented by a linear equation or graph. A Essential Draw, identify, find, and/or write an equation for a line of best fit for a scatter plot. A Essential Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically. A Essential Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table). CC.2.2.HS.D.7 Essential Create and graph equations or inequalities to describe numbers or relationships. CC.2.2.HS.D.10 Essential Represent, solve and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically. 1 Essential Make sense of problems and persevere in solving them. Page 3 of 4

4 2 Essential Reason abstractly and quantitatively. 3 Essential Construct viable arguments and critique the reasoning of others. 4 Essential Model with mathematics. 5 Essential Use appropriate tools strategically. 6 Essential Attend to precision. 7 Essential Look for and make use of structure. 8 Essential Look for and express regularity in repeated reasoning. A Essential Write, solve, and/or apply a linear equation (including problem situations). A Essential Make predictions using the equations or graphs of bestfit lines of scatter plots. A Essential Determine whether a relation is a function, given a set of points or a graph. Page 4 of 4

5 Key Learning: Students will understand that linear functions can be expressed with equations, tables, mappings, graphs, and applied to real life situations. Unit Essential Question(s): How can linear equations be graphed to represent reallife situations? Concept: Concept: Concept: Coordinate Plane Graph linear equations Graphing using intercepts A , 4 A , A , A , 5, 4 A , A , 4, 5 How do you plot points in the coordinate plane? How do you graph linear equations? How do you use intercepts to graph equations? (A) (A) (A) quadrants, coordinate plane standard form of a linear equation xintercept, yintercept, ordered pair, linear function Concept: Concept: Concept: Slope and Rate of Change SlopeIntercept Form Direct Variation A , 1, 4, 7 A , A , A , A a, A b, A , 4 A , 7, 4 How do you find the slope of a line and How do you graph linear equations given in How do you write and graph direct variation interpret slope as a rate of change? (A) slopeintercept form? (A) equations? (A) slope, rate of change slopeintercept form direct variation, parallel, constant of variation Page 1 of 2

6 Concept: Concept: Concept: graph linear functions What is function notation? (A) function notation, family of functions, parent linear function Additional Information: Attached Document(s): Page 2 of 2

7 Vocab Report for Concept: Coordinate Plane quadrants coordinate plane ordered pair Concept: Graph linear equations standard form of a linear equation linear function Concept: Graphing using intercepts xintercept yintercept Concept: Slope and Rate of Change slope rate of change Concept: SlopeIntercept Form slopeintercept form parallel Concept: Direct Variation direct variation constant of variation Concept: graph linear functions function notation family of functions Page 1 of 2

8 Vocab Report for parent linear function Page 2 of 2