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UNIT 1: UNDERSTAND SIMILARITY IN TERMS OFSIMILARITY TRANSFORMATIONS

1) Draw a triangle with vertices at A(0, 1), B(–3, 3), and C(1, 3). Dilate the triangle using a scale factor of 1.5 and a center of (0, 0). Name the dilated triangle A'B'C'.

2) Line segment CD is 5 inches long. If line segment CD is dilated to form line segment C 'D' with a scale factor of 0.6, what is the length of line segment C 'D'?

3) Figure A'B'C'D' is a dilation of figure ABCD.

a. Determine the center of dilation.b. Determine the scale factor of the dilation.c. What is the relationship between the sides of the pre-image and corresponding sides of the image?

UNIT 1: PROVE THEOREMS INVOLVING SIMILARITY

1) In the triangle shown, AC ∥ D́E.

Prove that D́E divides AB and CB proportionally.

UNIT 1: UNDERSTAND CONGRUENCE IN TERMSOF RIGID MOTIONS

2) Rectangle WXYZ has coordinates W(1, 2), X(3, 2), Y(3, –3), and Z(1, –3).a. Graph the image of rectangle WXYZ after a rotation of 90° clockwise about the origin.Label the image W ' X 'Y 'Z '.b. Translate rectangle W ' X 'Y 'Z ' 2 units left and 3 units up.c. Is rectangle WXYZ congruent to rectangle W '' X ''Y ''Z ''? Explain.

UNIT 1: PROVE GEOMETRIC THEOREMS

UNIT 1: MAKE GEOMETRIC CONSTRUCTIONS

UNIT 2: RIGHT TRIANGLE RELATIONSHIPS

UNIT 3: UNDERSTAND AND APPLY THEOREMS ABOUT CIRCLES

UNIT 3: FIND ARC LENGTHS AND AREAS OF SECTORS OF CIRCLES

UNIT 3: EXPLAIN VOLUME FORMULAS ANDUSE THEM TO SOLVE PROBLEMS

2) A sphere has a radius of 3 feet. What is the volume of the sphere?

3) A cylinder has a radius of 10 cm and a height of 9 cm. A cone has a radius of 10 cm and a height of 9 cm. Show that the volume of the cylinder is three times the volume of the cone.

UNIT 4: EXTEND THE PROPERTIES OF EXPONENTSTO RATIONAL EXPONENTS

UNIT 4: USE PROPERTIES OF RATIONAL AND IRRATIONAL NUMBERS

UNIT 4: PERFORM ARITHMETIC OPERATIONS ON POLYNOMIALS

UNIT 4: PERFORM ARITHMETIC OPERATIONS WITH COMPLEX NUMBERS

UNIT 4: USE COMPLEX NUMBERS IN POLYNOMIAL IDENTITIES AND EQUATIONS

UNIT 4: INTERPRET THE STRUCTURE OF EXPRESSIONS

UNIT 5: WRITE EXPRESSIONS IN EQUIVALENT FORMS

TO SOLVE PROBLEMS

UNIT 5: CREATE EQUATIONS THAT DESCRIBE NUMBERS OR RELATIONSHIPS

UNIT 5: SOLVE EQUATIONS AND INEQUALITIES IN ONE VARIABLE

UNIT 5: SOLVE SYSTEMS OF EQUATIONS

UNIT 5: INTERPRET FUNCTIONS THAT ARISE IN APPLICATIONS IN TERMS OF THE CONTEXT

UNIT 5: ANALYZE FUNCTIONS USINGDIFFERENT REPRESENTATIONS

UNIT 5: BUILD A FUNCTION THAT MODELS A RELATIONSHIP BETWEEN TWO QUANTITIES

UNIT 5: BUILD NEW FUNCTIONS FROM EXISTING FUNCTIONS

UNIT 5: CONSTRUCT AND COMPARE LINEAR, QUADRATIC, AND EXPONENTIAL MODELS TO SOLVE

PROBLEMS

UNIT 5: SUMMARIZE, REPRESENT, AND INTERPRET DATA ON TWO CATEGORICAL AND QUANTITATIVE

VARIABLES

UNIT 6: TRANSLATE BETWEEN THE GEOMETRIC DESCRIPTION AND THE EQUATION FOR A CONIC

SECTION

UNIT 6: SOLVE SYSTEMS OF EQUATIONS THAT INCLUDE CIRCLES

UNIT 6: USE COORDINATES TO PROVE SIMPLE GEOMETRIC THEOREMS ALGEBRAICALLY

UNIT 7: UNDERSTAND INDEPENDENCE AND CONDITIONAL PROBABILITY AND USE THEM TO

INTERPRET DATA

UNIT 7: USE THE RULES OF PROBABILITY TO COMPUTE PROBABILITIES OF COMPOUND EVENTS

IN A UNIFORM PROBABILITY MODEL