UNIT 2: GEOMETRY ON THE COORDINATE GRID.  Distance Formula  equation of a line  linear function  Midpoint Formula  point-slope form  rate of change.

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Presentation transcript:

UNIT 2: GEOMETRY ON THE COORDINATE GRID

 Distance Formula  equation of a line  linear function  Midpoint Formula  point-slope form  rate of change  slope  slope-intercept form  standard form  x-coordinate  x-intercept  y-coordinate  y-intercept TERMS TO KNOW (PT1)

 Angle of Rotation  Center of Dilation  Center of Rotation  Composition of Transformations  dilation  Enlargement  Image  Isometric Transformation  line of reflection  line of symmetry  Non-isometric transformation  Original Figure  Point of Dilation  Proportion  Ratio  Reduction  Reflection  Rotation  Rotational Symmetry  Scale Factor  Similarity  Tessellations  Translation TERMS TO KNOW (PT2)

Slope/Linear Functions UNIT 2: GEOMETRY ON THE COORDINATE GRID

WHAT IS SLOPE? WHAT IS A LINEAR FUNCTION? WARM-UP

Working in your group to do the following discovery. Everyone needs to answer questions on their own paper. EXPLORING LINEAR FUNCTIONS

WHAT IS SLOPE? WHAT IS A LINEAR FUNCTION? ANSWER TO WARM-UP

LINEAR EQUATIONS

1. For the given graph: a.Set up a table of values for at least four points. b. Find the slope. c. Determine the equation of the line. d. Identify the x- intercepts and y- intercept. USING GRAPHS

2. For the given table of values: a.Find the slope. b. Determine the equation of the line. c. Graph the function. d. Identify the x- intercepts and y- intercept. USING TABLES

Examples: 1.The slope of –1/2 and contains point (–2, 5) 2.Contains points (2, -3) and (-6, 1) 3.The slope of ¾ and contains point (4, -6) 4.Contains points (-2,-3) and (2,3) WRITE THE EQUATION (15MINS)

Examples: 1.Contains point (0, 4) and is parallel to y = 2x – 3 2.Contains point (-3, 5) and is perpendicular to 2x + 3y = 7 3.Contains (5, 1) and is perpendicular to y = 3 4.Contains (5, 1) and is parallel to y = 3 5.Contains (-2, -7) and is perpendicular to x = 4 y SPECIAL LINES

WHAT ARE THE EQUATIONS FOR BOTH LINEAR FUNCTIONS? A LINEAR FUNCTION THAT HAS A SLOPE OF -4 AND A Y-INTERCEPT OF (0, 3) AND FOR A LINE THAT GOES THROUGH THE POINT (0,-8) AND IS PARALLEL TO FIRST LINEAR FUNCTION WARM-UP

Midpoint and Distance Formula UNIT 2: GEOMETRY ON THE COORDINATE GRID

MIDPOINT FORMULA 15MINS

DISTANCE FORMULA 20MINS

WHAT IS THE DISTANCE AND MIDPOINT OF THE SEGMENT WITH END POINTS AT (-4,-2) AND (-6,2). WARM-UP

HOMEWORK QUIZ

Isometric Transformations UNIT 2: GEOMETRY ON THE COORDINATE GRID

 2 types of transformations  Isometric transformations  Non-isometric transformations TRANSFORMATIONS

 Transformations that are congruent  Same size  Same shape ISOMETRIC TRANSFORMATIONS

Non-isometric Transformations Tessellations UNIT 2: GEOMETRY ON THE COORDINATE GRID

 Transformations that are similar  Same shape  Different size NON-ISOMETRIC TRANSFORMATION