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UNIT 2: GEOMETRY ON THE
COORDINATE GRID
Distance Formulaequation of a linelinear functionMidpoint Formulapoint-slope formrate of changeslope
slope-intercept formstandard formx-coordinatex-intercepty-coordinatey-intercept
TERMS TO KNOW (PT1)
Angle of RotationCenter of DilationCenter of RotationComposition of
TransformationsdilationEnlargementImageIsometric
Transformation line of refl ection line of symmetryNon-isometric
transformation
Original FigurePoint of DilationProportionRatioReductionRefl ectionRotationRotational SymmetryScale FactorSimilarityTessellationsTranslation
TERMS TO KNOW (PT2)
DAY 1
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
Slope-intercept Form
Standard Form
Point-slope form
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 – 32. Contains point (-3, 5) and is perpendicular
to 2x + 3y = 73. Contains (5, 1) and is perpendicular to y = 34. Contains (5, 1) and is parallel to y = 35. 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
DAY 2
Midpoint and Distance Formula
UNIT 2: GEOMETRY ON THE
COORDINATE GRID
( 𝑥1+𝑥22 |𝑦1+𝑦22 )MIDPOINT FORMULA 15MINS
𝑑=√ (𝑥2−𝑥1 )2+( 𝑦2− 𝑦1 )2DISTANCE FORMULA 20MINS
WHAT IS THE DISTANCE AND MIDPOINT OF THE SEGMENT WITH
END POINTS AT (-4,-2) AND (-6,2).
WARM-UP
HOMEWORK QUIZ
DAY 3
Isometric Transformations
UNIT 2: GEOMETRY ON THE
COORDINATE GRID
2 types of transformationsIsometric transformationsNon-isometric transformations
TRANSFORMATIONS
Transformations that are congruentSame size Same shape
ISOMETRIC TRANSFORMATIONS
DAY 4
Non-isometric Transformations
Tessellations
UNIT 2: GEOMETRY ON THE
COORDINATE GRID
Transformations that are similarSame shapeDiff erent size
NON-ISOMETRIC TRANSFORMATION
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