Subject: Algebra 1



Subject: Algebra 1

Grade Level: 7th

Unit Title: What’s my line? |Timeframe Needed for Completion:

Grading Period: 2nd nine weeks | |

|Big Idea/Theme: Coordinate plane, functions, linear equations in standard, slope intercept and point slope form, developing regression lines, all areas involving linear inequalities, and solving systems of |

|equations and inequalities, using graphing, substitution and elimination. |

|7th grade topics: Histograms, Box and whisker plots, Central Tendencies |

|Understandings: Graphing linear equations and inequalities, solving systems of equations and inequalities, determing correlation and best-fit lines |

|Essential Questions: |Curriculum Goals/Objectives (to be assessed at the end of the unit/quarter) |

|How can scatterplots be used to predict information? |Find the lengths and midpoints of segments to solve problems (2.01) |

|In the equation y = 4x, what is the constant of variation |Use formulas and algebraic expressions to model and solve problems (1.02) |

|What are the advantages and disadvantages of using graphs, using equations, and using tables? |Model and solve problems using direct variation (1.03) |

|Describe situations where compound inequalities are used in life. |Create linear models for sets of data to solve problems: interpret constants and coefficients in the |

|List examples where parallel and perpendicular lines are found in everyday items. |context of the data, and check the model for best fit and use the model, where appropriate, to draw |

|Describe situations where systems of equations are applicable to real life situations. |conclusions or make predictions (3.03). |

|Describe some real life examples using direct variation |Use linear functions or inequalities to model and solve problems: a) solve using tables, graphs and |

| |algebraic properties, and b) interpret constants and coefficients in the context of the problem (4.01) |

| |Use systems of linear equations or inequalities in two variables to model or solve problems. Solve |

| |using tables, graphs and algebraic properties (4.03) |

| |Use the parallelism or perpendicularity of lines and segments to solve problems (2.02). |

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|Essential Skills/Vocabulary: |Assessment Tasks: |

|Vocabulary: arithmetic sequence, axes, best-fit line, boundary, common difference, compound inequality,| |

|constant of variation, coordinate plane, direct variation, elimination, function, function notation, |Quick writes |

|graph, half-plane, intersection, inverse, linear equation, linear extrapolation, linear interpolation, |Teacher made tests and quizzes |

|line of fit, mapping, negative correlation, origin, parallel lines, perpendicular lines, point-slope |Find the error |

|form, positive correlation, quadrant, rate of change, scatter plot, sequence, slope, slope-intercept |Foldables |

|form, standard form, substitution, system of equations, system of inequalities, terms, union, vertical |Cornell notes |

|line test, x-axis, x-coordinate, x-intercept, y-axis, y-coordinate, y-intercept |Groupwork |

| |Projects |

| |Graphic organizers |

|Essential skills: |Venn Diagrams |

|construct scatterplots from data |Anticipation/prediction guides |

|determine best fit lines | |

|use the best fit line to predict both inside and outside the data | |

|find the midpoint of a line segment | |

|find the endpoint of a line segment given the midpoint and one endpoint | |

|write, graph and solve problems involving direct variation. | |

|determine if a relation is a function, including using the vertical line test | |

|find the slope given two points, from a table, from a graph | |

|graph linear equations and inequalities from a table, from data contained in a problem | |

|write equations in point slope, slope-intercept and standard forms | |

|graph equations from point-slope, slope-intercept and standard forms | |

|solve compound inequalities (and/or) | |

|solve absolute value inequalities | |

|solve systems of equations using graphing, and elimination | |

|solve systems of inequalities, graph the solution | |

|understand parallelism and perpendicularity of lines | |

|find the distance between points on the coordinate plane | |

|find a point a given distance from another point in a plane | |

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|Guiding questions: | |

|What is a scatterplot and how is it helpful when making | |

|predictions. | |

|What is meant by a best fit line? | |

|How is a best fit line used to make predictions? | |

|How is a best fit line used to draw conclusions? | |

|How can the results of statistical investigations be used to support an argument? | |

|Why is the distance formula a direct variation? | |

|Given two points on a line, how do you find the slope? | |

|What is slope intercept form of a line and how can it be used to draw the line it represents? | |

|How can I write a linear equation with standard and slope intercept forms of equations? | |

|How can you tell if a given equation passes through a given point? | |

|How can I write an equation that models given data? | |

|How do you determine the y-intercept of an equation in slope-intercept form? In standard form? What do | |

|we know about lines that are parallel? Perpendicular? | |

|What is the relationship between the domain and range of a function? | |

|What is a linear equation? | |

|What is the vertical line test for a function? | |

|What are two examples of non-linear equations? | |

|Given a set of ordered pairs, a graph, or a table, how would you determine if these relations are | |

|functions? | |

|How can compound inequalities help describe real world situations? | |

|How are graphing equations similar, and different, from graphing inequalities? | |

|How can I solve and graph inequalities using the properties of inequality? | |

|How are patterns of change represented in functions? | |

|What methods can be used to solve systems of equations? | |

|How are systems of equations and inequalities useful? | |

|Materials Suggestions: |

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