Download VersaTiles (R) Geometry, High School Level

VersaTiles (R) Geometry, High School Level, Book 1, VersaTiles (R) Geometry, High School Level, Book 2, VersaTiles (R) Geometry, High
School Level, Book 3, VersaTiles (R) Geometry, High School Level, Book 4, VersaTiles (R) Geometry, High School Level, Book 5
Grades: 9, 10, 11, 12
State: Georgia Common Core Standards
Subject: Mathematics
Publisher: ETA hand2mind
Common Core Georgia Performance Standards
Mathematics
Grades 9 – 12 - Adopted 2011
STRAND /
DOMAIN
GA.CC.MP.
Mathematical Practices
The Standards for Mathematical Practice reflect various forms of expertise and
mathematical habits of mind that students develop throughout their mathematics
education. VersaTiles is designed to help students become more fluent and more efficient
in various mathematical skills (e.g., computational algorithms, applications of formulae,
mathematical vocabulary). While there will be opportunities for teachers to elicit evidence
of the Standards for Mathematical Practice if they extend VersaTiles activities into class
discussions, math journals, or other formats, the activities themselves are designed
primarily as skill practice. Thus, the correlation presented here shows coverage of the
mathematics content standards.
STRAND /
DOMAIN
GA.CC.9-12.N.
Number and Quantity
CATEGORY / MCC9-12.N.Q.
CLUSTER
Quantities
STANDARD
Reason quantitatively and use units to solve problems.
EXPECTATION MCC9‐12.N.Q.1.
Use units as a way to understand problems and to guide the solution of multi‐step problems; choose and
interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data
displays.
VersaTiles (R) Geometry, High School Level, Book 2
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 22-23
(Areas and Perimeter Formulas)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 24 (Those
Changing Dimensions)
STRAND /
DOMAIN
GA.CC.9-12.A.
Algebra
CATEGORY / MCC9-12.A.CED.
CLUSTER
Creating Equations
STANDARD
Create equations that describe numbers or relationships
EXPECTATION MCC9‐12.A.CED.1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising
from linear and quadratic functions, and simple rational and exponential functions.
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 06-07 (Using Algebra with Parallel
and Perpendicular Lines)
EXPECTATION MCC9‐12.A.CED.2. Create equations in two or more variables to represent relationships between quantities; graph equations on
coordinate axes with labels and scales.
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 06-07 (Using Algebra with Parallel
and Perpendicular Lines)
VersaTiles (R) Geometry, High School Level, Book 4
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 06-07 (Slope and
Equations)
EXPECTATION MCC9‐12.A.CED.3. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and
interpret solutions as viable or non‐viable options in a modeling context. For example, represent inequalities
describing nutritional and cost constraints on combinations of different foods.
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 06-07 (Using Algebra with Parallel
and Perpendicular Lines)
STRAND /
DOMAIN
GA.CC.9-12.A.
Algebra
CATEGORY / MCC9-12.A.REI.
CLUSTER
Reasoning with Equations and Inequalities
STANDARD
Understand solving equations as a process of reasoning and explain the reasoning
EXPECTATION MCC9‐12.A.REI.1.
Explain each step in solving a simple equation as following from the equality of numbers asserted at the
previous step, starting from the assumption that the original equation has a solution. Construct a viable
argument to justify a solution method.
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 06-07 (Using Algebra with Parallel
and Perpendicular Lines)
STRAND /
DOMAIN
GA.CC.9-12.A.
Algebra
CATEGORY / MCC9-12.A.REI.
CLUSTER
Reasoning with Equations and Inequalities
STANDARD
Solve equations and inequalities in one variable
EXPECTATION MCC9‐12.A.REI.3.
Solve linear equations and inequalities in one variable, including equations with coefficients represented by
letters.
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 06-07 (Using Algebra with Parallel
and Perpendicular Lines)
STRAND /
DOMAIN
GA.CC.9-12.F.
Functions
CATEGORY / MCC9‐12.F.IF.
CLUSTER
Interpreting Functions
STANDARD
Interpret functions that arise in applications in terms of the context
EXPECTATION MCC9‐12.F.IF.6.
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a
specified interval. Estimate the rate of change from a graph.
VersaTiles (R) Geometry, High School Level, Book 4
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 04 (Slippery Slopes)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 06-07 (Slope and
Equations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 21 (Quadrilateral
Query)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 22-23 (Polygon
Plot)
STRAND /
DOMAIN
GA.CC.9-12.F.
Functions
CATEGORY / MCC9‐12.F.IF.
CLUSTER
Interpreting Functions
STANDARD
Analyze functions using different representations
EXPECTATION MCC9‐12.F.IF.7.
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using
technology for more complicated cases.
GRADE
MCC9‐12.F.IF.7a.
EXPECTATION
Graph linear and quadratic functions and show intercepts, maxima, and minima.
VersaTiles (R) Geometry, High School Level, Book 4
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 24 (Parabolic
Equations)
STRAND /
DOMAIN
GA.CC.9-12.F.
Functions
CATEGORY / MCC9‐12.F.BF.
CLUSTER
Building Functions
STANDARD
Build a function that models a relationship between two quantities
EXPECTATION MCC9‐12.F.BF.1.
Write a function that describes a relationship between two quantities.
GRADE
MCC9‐12.F.BF.1a.
EXPECTATION
Determine an explicit expression, a recursive process, or steps for calculation from a context.
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 06-07 (Using Algebra with Parallel
and Perpendicular Lines)
STRAND /
DOMAIN
GA.CC.9-12.F.
Functions
CATEGORY / MCC9‐12.F.TF.
CLUSTER
Trigonometric Functions
STANDARD
Extend the domain of trigonometric functions using the unit circle
EXPECTATION MCC9‐12.F.TF.3.
(+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6,
and use the unit circle to express the values of sine, cosine, and tangent for π ‐ x, π + x, and 2π ‐ x in terms of
their values for x, where x is any real number.
VersaTiles (R) Geometry, High School Level, Book 2
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 12 (Sine,
Cosine, and Tangent Ratios)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 13
(Trigonometric Ratios)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 16-17
(Angles of Elevation and Depression)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 18 (Law of
Sines and Law of Cosines)
STRAND /
DOMAIN
GA.CC.9-12.G.
Geometry
CATEGORY / MCC9-12.G.CO.
CLUSTER
Congruence
STANDARD
Experiment with transformations in the plane
EXPECTATION MCC9‐12.G.CO.1.
Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the
undefined notions of point, line, distance along a line, and distance around a circular arc.
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 01 (Terms of Geometry)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 02 (What Kind of Lines?)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 03 (Angle Measures)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 04-05 (Aren't These Angle Pairs
Special?)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 06-07 (Using Algebra with Parallel
and Perpendicular Lines)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 08 (All About Angles)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 09 (Angle Pairs)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 10-11 (Moving Around)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 12-13 (Converse, Inverse, and
Contrapositive)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 14 (Let the Truth Be Told)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 15 (Conditionals and Logical
Equivalents)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 16-17 (Laws of Logic and Indirect
Proof)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 18 (Name That Triangle)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 19 (They're all 180 Degrees)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 20 (Altitudes, Bisectors, and
Medians)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 21 (Triangle Relationships)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 22-23 (Medians, Altitudes, and
Bisectors)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 24 (Special Quadrilaterals)
VersaTiles (R) Geometry, High School Level, Book 2
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 01 (To Be
or Not To Be a Triangle?)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 02-03
(Opposites Attract)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 04-05
(Proving Triangles Congruent)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 06 (CPCTC)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 07 (Oh, So
Similar)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 08 (The
Pythagorean Theorem)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 09
(Proportional Segments)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 10-11
(Geometric Mean)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 12 (Sine,
Cosine, and Tangent Ratios)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 13
(Trigonometric Ratios)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 14-15
(Special Right Triangles)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 16-17
(Angles of Elevation and Depression)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 18 (Law of
Sines and Law of Cosines)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 19 (Angles
in Polygons)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 20-21
(Congruent and Similar Polygons)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 22-23
(Areas and Perimeter Formulas)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 24 (Those
Changing Dimensions)
VersaTiles (R) Geometry, High School Level, Book 3
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 01 (Naming Three-Dimensional
Figures)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 02-03 (Nothing but Net)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 04-05 (Where Should We Meet?)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 06 (Euler's Formula)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 07 (Volume of Prisms)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 08-09 (Volume of Pyramids)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 10 (Volume of Cylinders)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 11 (Volume of Cones)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 12-13 (Surface Area of Prisms and
Cylinders)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 14-15 (Surface Area of Pyramids
and Cones)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 16 (On the Ball)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 17 (Surface Area and Volume of
Spheres)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 18-19 (Congruent and Similar
Solids)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 20-21 (Cavalieri's Principle)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 22-23 (Out and About)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 24 (Dynamic Dimensions)
VersaTiles (R) Geometry, High School Level, Book 4
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 01 (Point It Out)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 02 (Halfway There)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 03 (The End Is in
Sight)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 04 (Slippery Slopes)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 05 (Linear
Relationships)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 06-07 (Slope and
Equations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 08-09 (Distance
Formula)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 10-11 (Around the
Edge)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 12-13 (Areas of
Rectangles and Triangles)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 14 (Translations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 15 (Reflections)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 16-17 (Rotations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 18-19 (Dilations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 20 (Double
Transformations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 21 (Quadrilateral
Query)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 22-23 (Polygon
Plot)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 24 (Parabolic
Equations)
VersaTiles (R) Geometry, High School Level, Book 5
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 01 (Parts of Circles)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 02-03 (Circumference and Area
of Circles)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 04-05 (Around the Bend)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 06-07 (Segment Lengths)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 08-09 (Angle Properties)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 10-11 (Arc and Angle Measures)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 12-13 (Triangle Similarity)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 14-15 (A Round of Graphing)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 16 (Equations of Circles)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 17 (Circle Graphs and Central
Angles)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 18 (Independent Events)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 19 (That Depends)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 20-21 (Is That Fair?)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 22-23 (Geometric Probability)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 24 (Permutations and
Combinations)
EXPECTATION MCC9‐12.G.CO.2.
Represent transformations in the plane using, e.g., transparencies and geometry software; describe
transformations as functions that take points in the plane as inputs and give other points as outputs. Compare
transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal
stretch).
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 10-11 (Moving Around)
VersaTiles (R) Geometry, High School Level, Book 4
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 14 (Translations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 15 (Reflections)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 16-17 (Rotations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 18-19 (Dilations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 20 (Double
Transformations)
EXPECTATION MCC9‐12.G.CO.3.
Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that
carry it onto itself.
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 10-11 (Moving Around)
VersaTiles (R) Geometry, High School Level, Book 4
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 15 (Reflections)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 16-17 (Rotations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 20 (Double
Transformations)
EXPECTATION MCC9‐12.G.CO.4.
Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines,
parallel lines, and line segments.
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 10-11 (Moving Around)
VersaTiles (R) Geometry, High School Level, Book 4
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 14 (Translations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 15 (Reflections)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 16-17 (Rotations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 20 (Double
Transformations)
EXPECTATION MCC9‐12.G.CO.5.
Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g.,
graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given
figure onto another.
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 10-11 (Moving Around)
VersaTiles (R) Geometry, High School Level, Book 4
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 14 (Translations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 15 (Reflections)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 16-17 (Rotations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 20 (Double
Transformations)
STRAND /
DOMAIN
GA.CC.9-12.G.
Geometry
CATEGORY / MCC9-12.G.CO.
CLUSTER
Congruence
STANDARD
Understand congruence in terms of rigid motions
EXPECTATION MCC9‐12.G.CO.6.
Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid
motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to
decide if they are congruent.
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 10-11 (Moving Around)
VersaTiles (R) Geometry, High School Level, Book 4
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 14 (Translations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 15 (Reflections)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 16-17 (Rotations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 18-19 (Dilations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 20 (Double
Transformations)
EXPECTATION MCC9‐12.G.CO.7.
Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only
if corresponding pairs of sides and corresponding pairs of angles are congruent.
VersaTiles (R) Geometry, High School Level, Book 2
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 04-05
(Proving Triangles Congruent)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 06 (CPCTC)
VersaTiles (R) Geometry, High School Level, Book 4
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 22-23 (Polygon
Plot)
EXPECTATION MCC9‐12.G.CO.8.
Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in
terms of rigid motions.
VersaTiles (R) Geometry, High School Level, Book 2
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 04-05
(Proving Triangles Congruent)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 06 (CPCTC)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 20-21
(Congruent and Similar Polygons)
STRAND /
DOMAIN
GA.CC.9-12.G.
Geometry
CATEGORY / MCC9-12.G.CO.
CLUSTER
Congruence
STANDARD
Prove geometric theorems
EXPECTATION MCC9‐12.G.CO.9.
Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal
crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points
on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 04-05 (Aren't These Angle Pairs
Special?)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 06-07 (Using Algebra with Parallel
and Perpendicular Lines)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 08 (All About Angles)
VersaTiles (R) Geometry, High School Level, Book 2
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 09
(Proportional Segments)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 10-11
(Geometric Mean)
EXPECTATION MCC9‐12.G.CO.10. Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180
degrees; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a
triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 19 (They're all 180 Degrees)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 20 (Altitudes, Bisectors, and
Medians)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 21 (Triangle Relationships)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 22-23 (Medians, Altitudes, and
Bisectors)
VersaTiles (R) Geometry, High School Level, Book 2
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 01 (To Be
or Not To Be a Triangle?)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 02-03
(Opposites Attract)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 04-05
(Proving Triangles Congruent)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 06 (CPCTC)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 07 (Oh, So
Similar)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 10-11
(Geometric Mean)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 14-15
(Special Right Triangles)
STRAND /
DOMAIN
GA.CC.9-12.G.
Geometry
CATEGORY / MCC9-12.G.CO.
CLUSTER
Congruence
STANDARD
Make geometric constructions
EXPECTATION MCC9‐12.G.CO.12. Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string,
reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle;
bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector
of a line segment; and constructing a line parallel to a given line through a point not on the line.
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 20 (Altitudes, Bisectors, and
Medians)
STRAND /
DOMAIN
GA.CC.9-12.G.
Geometry
CATEGORY / MCC9-12.G.SRT.
CLUSTER
Similarity, Right Triangles, and Trigonometry
STANDARD
Understand similarity in terms of similarity transformations
EXPECTATION MCC9‐12.G.SRT.1. Verify experimentally the properties of dilations given by a center and a scale factor:
GRADE
MCC9‐12.G.SRT.1a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing
EXPECTATION
through the center unchanged.
VersaTiles (R) Geometry, High School Level, Book 4
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 18-19 (Dilations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 20 (Double
Transformations)
GRADE
MCC9‐12.G.SRT.1b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
EXPECTATION
VersaTiles (R) Geometry, High School Level, Book 4
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 18-19 (Dilations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 20 (Double
Transformations)
STRAND /
DOMAIN
GA.CC.9-12.G.
Geometry
CATEGORY / MCC9-12.G.SRT.
CLUSTER
Similarity, Right Triangles, and Trigonometry
STANDARD
Understand similarity in terms of similarity transformations
EXPECTATION MCC9‐12.G.SRT.2. Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are
similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all
corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 21 (Triangle Relationships)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 22-23 (Medians, Altitudes, and
Bisectors)
VersaTiles (R) Geometry, High School Level, Book 2
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 07 (Oh, So
Similar)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 10-11
(Geometric Mean)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 20-21
(Congruent and Similar Polygons)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 24 (Those
Changing Dimensions)
VersaTiles (R) Geometry, High School Level, Book 3
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 18-19 (Congruent and Similar
Solids)
VersaTiles (R) Geometry, High School Level, Book 4
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 22-23 (Polygon
Plot)
VersaTiles (R) Geometry, High School Level, Book 5
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 12-13 (Triangle Similarity)
STRAND /
DOMAIN
GA.CC.9-12.G.
Geometry
CATEGORY / MCC9-12.G.SRT.
CLUSTER
Similarity, Right Triangles, and Trigonometry
STANDARD
Prove theorems involving similarity
EXPECTATION MCC9‐12.G.SRT.4. Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other
two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 21 (Triangle Relationships)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 22-23 (Medians, Altitudes, and
Bisectors)
EXPECTATION MCC9‐12.G.SRT.5. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric
figures.
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 21 (Triangle Relationships)
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 22-23 (Medians, Altitudes, and
Bisectors)
VersaTiles (R) Geometry, High School Level, Book 2
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 04-05
(Proving Triangles Congruent)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 06 (CPCTC)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 07 (Oh, So
Similar)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 10-11
(Geometric Mean)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 20-21
(Congruent and Similar Polygons)
VersaTiles (R) Geometry, High School Level, Book 4
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 22-23 (Polygon
Plot)
VersaTiles (R) Geometry, High School Level, Book 5
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 12-13 (Triangle Similarity)
STRAND /
DOMAIN
GA.CC.9-12.G.
Geometry
CATEGORY / MCC9-12.G.SRT.
CLUSTER
Similarity, Right Triangles, and Trigonometry
STANDARD
Define trigonometric ratios and solve problems involving right triangles
EXPECTATION MCC9‐12.G.SRT.6. Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading
to definitions of trigonometric ratios for acute angles.
VersaTiles (R) Geometry, High School Level, Book 2
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 08 (The
Pythagorean Theorem)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 12 (Sine,
Cosine, and Tangent Ratios)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 13
(Trigonometric Ratios)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 14-15
(Special Right Triangles)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 16-17
(Angles of Elevation and Depression)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 18 (Law of
Sines and Law of Cosines)
EXPECTATION MCC9‐12.G.SRT.7. Explain and use the relationship between the sine and cosine of complementary angles.
VersaTiles (R) Geometry, High School Level, Book 2
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 12 (Sine,
Cosine, and Tangent Ratios)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 13
(Trigonometric Ratios)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 16-17
(Angles of Elevation and Depression)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 18 (Law of
Sines and Law of Cosines)
EXPECTATION MCC9‐12.G.SRT.8. Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
VersaTiles (R) Geometry, High School Level, Book 2
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 08 (The
Pythagorean Theorem)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 12 (Sine,
Cosine, and Tangent Ratios)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 13
(Trigonometric Ratios)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 14-15
(Special Right Triangles)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 16-17
(Angles of Elevation and Depression)
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 18 (Law of
Sines and Law of Cosines)
STRAND /
DOMAIN
GA.CC.9-12.G.
CATEGORY / MCC9-12.G.SRT.
CLUSTER
Geometry
Similarity, Right Triangles, and Trigonometry
Apply trigonometry to general triangles
STANDARD
EXPECTATION MCC9‐12.G.SRT.10. (+) Prove the Laws of Sines and Cosines and use them to solve problems.
VersaTiles (R) Geometry, High School Level, Book 2
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 18 (Law of
Sines and Law of Cosines)
EXPECTATION MCC9‐12.G.SRT.11. (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and
non‐right triangles (e.g., surveying problems, resultant forces).
VersaTiles (R) Geometry, High School Level, Book 2
VersaTiles (R) Geometry, High School Level, Book 2: Similarity, Congruence, and Trigonometry, page 18 (Law of
Sines and Law of Cosines)
STRAND /
DOMAIN
GA.CC.9-12.G.
Geometry
CATEGORY / MCC9-12.G.C.
CLUSTER
Circles
STANDARD
Understand and apply theorems about circles
EXPECTATION MCC9‐12.G.C.2.
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between
central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a
circle is perpendicular to the tangent where the radius intersects the circle.
VersaTiles (R) Geometry, High School Level, Book 5
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 06-07 (Segment Lengths)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 08-09 (Angle Properties)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 10-11 (Arc and Angle Measures)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 12-13 (Triangle Similarity)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 17 (Circle Graphs and Central
Angles)
EXPECTATION MCC9‐12.G.C.4.
(+) Construct a tangent line from a point outside a given circle to the circle.
VersaTiles (R) Geometry, High School Level, Book 3
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 16 (On the Ball)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 17 (Surface Area and Volume of
Spheres)
VersaTiles (R) Geometry, High School Level, Book 5
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 01 (Parts of Circles)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 06-07 (Segment Lengths)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 08-09 (Angle Properties)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 10-11 (Arc and Angle Measures)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 12-13 (Triangle Similarity)
STRAND /
DOMAIN
GA.CC.9-12.G.
Geometry
CATEGORY / MCC9-12.G.C.
CLUSTER
Circles
STANDARD
Find arc lengths and areas of sectors of circles
EXPECTATION MCC9‐12.G.C.5.
Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius,
and define the radian measure of the angle as the constant of proportionality; derive the formula for the area
of a sector.
VersaTiles (R) Geometry, High School Level, Book 5
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 04-05 (Around the Bend)
STRAND /
DOMAIN
GA.CC.9-12.G.
Geometry
CATEGORY / MCC9-12.G.GPE.
CLUSTER
Expressing Geometric Properties with Equations
STANDARD
Translate between the geometric description and the equation for a conic section
EXPECTATION MCC9‐12.G.GPE.1. Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square
to find the center and radius of a circle given by an equation.
VersaTiles (R) Geometry, High School Level, Book 5
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 14-15 (A Round of Graphing)
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 16 (Equations of Circles)
EXPECTATION MCC9‐12.G.GPE.2. Derive the equation of a parabola given a focus and directrix.
VersaTiles (R) Geometry, High School Level, Book 4
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 24 (Parabolic
Equations)
EXPECTATION MCC9‐12.G.GPE.3. (+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of
distances from the foci is constant.
VersaTiles (R) Geometry, High School Level, Book 3
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 04-05 (Where Should We Meet?)
STRAND /
DOMAIN
GA.CC.9-12.G.
Geometry
CATEGORY / MCC9-12.G.GPE.
CLUSTER
Expressing Geometric Properties with Equations
STANDARD
Use coordinates to prove simple geometric theorems algebraically
EXPECTATION MCC9‐12.G.GPE.5. Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g.,
find the equation of a line parallel or perpendicular to a given line that passes through a given point).
VersaTiles (R) Geometry, High School Level, Book 4
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 05 (Linear
Relationships)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 06-07 (Slope and
Equations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 21 (Quadrilateral
Query)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 22-23 (Polygon
Plot)
EXPECTATION MCC9‐12.G.GPE.6. Find the point on a directed line segment between two given points that partitions the segment in a given
ratio.
VersaTiles (R) Geometry, High School Level, Book 4
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 02 (Halfway There)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 03 (The End Is in
Sight)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 08-09 (Distance
Formula)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 10-11 (Around the
Edge)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 12-13 (Areas of
Rectangles and Triangles)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 21 (Quadrilateral
Query)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 22-23 (Polygon
Plot)
EXPECTATION MCC9‐12.G.GPE.7. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the
distance formula.
VersaTiles (R) Geometry, High School Level, Book 1
VersaTiles (R) Geometry, High School Level, Book 1: Structure & Proof, page 10-11 (Moving Around)
VersaTiles (R) Geometry, High School Level, Book 4
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 02 (Halfway There)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 03 (The End Is in
Sight)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 08-09 (Distance
Formula)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 10-11 (Around the
Edge)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 12-13 (Areas of
Rectangles and Triangles)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 14 (Translations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 15 (Reflections)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 16-17 (Rotations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 18-19 (Dilations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 20 (Double
Transformations)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 21 (Quadrilateral
Query)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 22-23 (Polygon
Plot)
VersaTiles (R) Geometry, High School Level, Book 4: Connecting Algebra & Geometry, page 24 (Parabolic
Equations)
STRAND /
DOMAIN
GA.CC.9-12.G.
Geometry
CATEGORY / MCC9-12.G.GMD.
CLUSTER
Geometric Measurement and Dimension
STANDARD
Explain volume formulas and use them to solve problems
EXPECTATION MCC9‐12.G.GMD.3. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
VersaTiles (R) Geometry, High School Level, Book 3
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 07 (Volume of Prisms)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 08-09 (Volume of Pyramids)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 10 (Volume of Cylinders)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 11 (Volume of Cones)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 17 (Surface Area and Volume of
Spheres)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 20-21 (Cavalieri's Principle)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 22-23 (Out and About)
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 24 (Dynamic Dimensions)
STRAND /
DOMAIN
GA.CC.9-12.G.
Geometry
CATEGORY / MCC9-12.G.GMD.
CLUSTER
Geometric Measurement and Dimension
STANDARD
Visualize relationships between two‐dimensional and three‐dimensional objects
EXPECTATION MCC9‐12.G.GMD.4. Identify the shapes of two‐dimensional cross‐sections of three‐dimensional objects, and identify
three‐dimensional objects generated by rotations of two‐dimensional objects.
VersaTiles (R) Geometry, High School Level, Book 3
VersaTiles (R) Geometry, High School Level, Book 3: Three-Dimensions, page 04-05 (Where Should We Meet?)
STRAND /
DOMAIN
GA.CC.9-12.S.
Statistics and Probability
CATEGORY / MCC9-12.S.CP.
CLUSTER
Conditional Probability and the Rules of Probability
STANDARD
Understand independence and conditional probability and use them to interpret data
EXPECTATION MCC9‐12.S.CP.2.
Understand that two events A and B are independent if the probability of A and B occurring together is the
product of their probabilities, and use this characterization to determine if they are independent.
VersaTiles (R) Geometry, High School Level, Book 5
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 18 (Independent Events)
STRAND /
DOMAIN
GA.CC.9-12.S.
Statistics and Probability
CATEGORY / MCC9-12.S.MD.
CLUSTER
Using Probability to Make Decisions
STANDARD
Use probability to evaluate outcomes of decisions
EXPECTATION MCC9‐12.S.MD.6.
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator).
VersaTiles (R) Geometry, High School Level, Book 5
VersaTiles (R) Geometry, High School Level, Book 5: Circles & Probability, page 20-21 (Is That Fair?)