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

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