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Catherine Inman Content Enhancement Final Project EDSP 404 Grade Level: Algebra 1 (9 th – 12 th grade) SOL: Remember to print: http://www.doe.virginia.gov/VDOE/Instruction/Math/curriculum_framework_2009/algebra1cf.pdf http://www.doe.virginia.gov/VDOE/Instruction/Math/curriculum_framework_2009/algebra1cf.pdf
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NAME DATE The Unit Organizer BIGGER PICTURE LAST UNIT/Experience CURRENT UNIT NEXT UNIT/Experience UNIT SELF-TEST QUESTIONS is about... UNIT RELATIONSHIPS UNIT SCHEDULEUNIT MAP CURRENT UNIT 1 32 4 5 6 7 8 Analyzing Linear Equations Graphing Relations and Functions Solving Linear Inequalities Slope Direct Variation Quiz Slope-intercept Exploring Activity Point-slope Exploring Activity Quiz Parallel lines Perpendicular lines Quiz Review Unit Test Describe what is slope? How would you relate slope to climbing a mountain? Compare and contrast point-slope and slope-intercept form. Compare and contrast parallel and perpendicular lines? Graphing and Writing Equations using formulas pp. 256 - 314 Slope Slope-Intercept formPoint-slope form Parallel and Perpendicular Lines By using By applying By exploring Linear Functions Identify Solve Graph Manipulate
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NAME DATE The Unit Organizer NEW UNIT SELF-TEST QUESTIONS Expanded Unit Map is about... 9 10 Graphing and Writing Equations using formulas pp. 256 - 314 Slope Slope-Intercept formPoint-slope form Parallel and Perpendicular Lines By using By applying By exploring Linear Functions Rise over run y 2 – y 1 =m x 2 – x 1 y = mx + b y – y 1 = m(x – x 1 ) m = m m = -1/m
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The FRAME Routine Key Topic Main idea is about… So What? (What’s important to understand about this?) Essential details Main idea Essential details Main idea Slope-Intercept Form A linear equation written in the form y = mx+b. Slope y - interceptVariables Change in y’s over change in x’s. Rise over run. Can find it by: y2 – y1 =m x2 – x1 What is it? Where in the equation Coordinate points Represented by “m” in the equation y = mx+b. Represented by “b” in the equation y = mx + b. Represented by “x” and “y” in the equation y = mx + b. Slope is constant only in a linear equation Always one constant number in a linear equation The coordinate points will change These numbers will vary. Can find only one if given the other. Where the graph crosses the y-axis. Find y where x = 0 Is it constant This will help make graphing and solving linear equations easier. Linear equations are used to model things over time such as distance over time or cost over time (speed and inflation).
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CONCEPT DIAGRAM Always PresentSometimes Present Never Present Examples: Nonexamples: TIE DOWN A DEFINITION EXPLORE EXAMPLES Key Words Å PRACTICE WITH NEW EXAMPLE CONVEY CONCEPT NOTE KEY WORDS OFFER OVERALL CONCEPT CLASSIFY CHARACTERISTICS Æ Ä À Á Â Ã À Á Â Slope Coordinate point Variables x, y Negative numbers Positive numbers Zero slope Undefined slope cubic (y-5)=6(x-2) y - intercept y = 5x+3 2x + 3y = 10 Slope (Known) Coordinate point Variables x, y Negative numbers Positive numbers Zero slope Undefined slope cubic (y-5)=6(x-2) y - intercept y = 5x+3 2x + 3y = 10 (y-7)=2(x-3) (y+4)=.5(x-2) (y-7)=2(x-3) (y+4)=.5(x-2) (y-2)=1(x+0) Point – Slope FormLinear Equations Point – Slope Form is a type of linear equation that uses a known coordinate, slope and variables x and y. y = 7 13,000
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LINCS Tables 1 3 4 52 Term Reminding Word LINCing Story LINCing Picture Definition 1 3 4 52 Term Reminding Word LINCing Story LINCing Picture Definition 1 3 4 52 Term Reminding Word LINCing Story LINCing Picture Definition 1 3 4 52 Term Reminding Word LINCing Story LINCing Picture Definition L ist the parts I dentify a remaining word N ote a LINCing story C reate a LINCing picture S elf-test Slope Direct Variation Constant of variation Family of graphs Hope Select Construct Famine Timmy had hope that his grade would change. Sarah had to select the correct form for her paper. Cindy had to construct the letter k a number of times. The group of farmers had a severe famine that year. Ratio of the change in y to the change in x. An equation of the form y = kx where k is a non-zero constant. The number k in equations of the form y = kx. A group of graphs or equations of graphs with at least one characteristic in common.
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