Common Core Curriculum Map 2012-2013

Common Core Curriculum Map 2012-2013 Foundations of CCM2

Common Core Unit Name: Basic Vocabulary / CCM1 Review Unit Number: 1

Enduring Understanding: Students will review topics from CCM1 that will be used in CCM2. Students will be able to solve an equation for one variable and also solve and equation with the variable on both sides. Review of midpoint and distance formulas along with Pythagorean theorem. They will also review finding the area and perimeter of triangles, rectangles, and squares.

Students need to know the geometric vocabulary and the appropriate symbol :point, line, plane, segment, ray, vertical angles, adjacent angles, supplementary & complementary angles, linear pair, vertex, perpendicular lines, parallel lines, difference between equal & congruent, skew lines, angle bisect, midpoint & all symbols in order to make sense of problems & persevere in solving them. Students need to attend to precision when using & discussing midpoint & distance formulas.

Standard Essential Questions P Key Academic Vocabulary A-CED.4 A-REI.1 Can I use mathematical properties to justify my 5 A-REI.1 Explain each step in solving a simple equation solution? Point as following from the equality of numbers asserted at the collinear points previous step, starting from the A-CED.4. Can I solve literal equations for any given line assumption that the original equation has a solution. variable? plane Construct a viable argument to justify a solution method. coplanar points What is the basic vocabulary for geometry? segment How am I going to use the vocabulary correctly? endpoints G.CO.1 Know precise definitions of angle, circle, What are the symbols for geometry that I need to know? ray perpendicular line, parallel line, and line segment, based How will I use these symbols? initial point on the undefined notions of point, line, distance along a How will I construct different geometric shapes, copy a opposite rays line, and distance around a circular arc. segment, bisect a segment, copy an angle & bisect an intersect angle? angle acute angle G.GPE.7 Use coordinates to compute perimeters of right angle polygons and areas of triangles and rectangles, e.g., obtuse angle using the distance formula.★ vertical angles adjacent angles, supplementary & complementary angles linear pair vertex perpendicular lines parallel lines,

1 Common Core Curriculum Map 2012-2013 Foundations of CCM2

between equal & congruent, skew lines angle bisector midpoint all symbols distance & midpoint formulas bisects compass straightedge, rectangle square triangle circle trapezoid Unit 1 Basic Vocabulary

Suggested Resources by Unit Location of these resources

1. Use www.classzone.com (must create free account) to assess section quizzes & tests

2. Quizlet Flashcards- www.Quizlet.com 3. KUTA SOFTWARE for Alg 1- www.kutasoftware.com 4. Infinite Geometry- www.kutasoftware.com 5. Glencoe Geometry Concepts and Applications, Glencoe 2004 6. SAS Curriculum Pathways 7. Use www.mathisfun.com

Common Core Unit Name: Constructions and Using Formulas Unit Number: 2

Enduring Understanding:

Students will model mathematics & attend to basic precision when doing basic constructions such as : using a compass, ruler & pencil to construct different geometric shapes: copy a segment, bisect a segment, copy an angle & bisect an angle. Students will attend to precision when finding the area of rectangles, squares, circles, triangles, & trapezoids. Students will also be able to solve any formula for the missing variable. (ex- given the radius, students should be able to plug in for circumference or area. Or given the base and height, find the area of a triangle. )

Standard Essential Questions Pacing Key Academic Guideline Vocabulary Bisector G.CO.12 Make formal geometric constructions with a How will I construct different geometric shapes, copy a Compass variety of tools and methods (compass and straightedge, segment, bisect a segment, copy an angle & bisect an 6 Include day Ruler string, reflective devices, paper folding, dynamic angle? for review & Segment geometric software, etc.). Copying a segment; copying an Angle angle; bisecting a segment; bisecting an angle; day for test Area constructing perpendicular lines, including the G-GPE.7 Can I find the perimeter of a polygon and the Perimeter perpendicular bisector of a line segment; and areas of triangles and rectangles? constructing a line parallel to a given line through a point not on the line. NQ.2 Define appropriate quantities for the G-GMD.1 Can I describe the parts of formulas for area and purpose of descriptive modeling.NQ. 3 Choose a level of circumference of circles, and volume of cylinders, pyramids accuracy appropriate to limitations on measurement and cones? when reporting quantities. G-GMD.3 Can I use the volume formulas for cylinders, G-GPE.7 Use coordinates to compute perimeters of pyramids, cones and spheres? polygons and areas of triangles and rectangles, e.g., using the distance formula.

G-GMD.1 Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a 3 Common Core Curriculum Map 2012-2013 Foundations of CCM2 cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.

G-GMD.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

Unit 2 Constructions and Using Formulas Suggested Resources by Unit Location of these resources

2. Glencoe Geometry Concepts and Applications, Glencoe 2004

3. www.quizlet.com vocabulary flashcards

4. Geometer’s Sketchpad

5. SAS Curriculum Pathways

6. Daisy Design Construction – www. Ehow.com – step by step

Common Core Unit Name: Points, Lines, Planes and Segments Unit Number: 3

Students will learn how to distinguish a point, line, ray, segment or a plane. Understand postulates that are described for lines and planes. Use a number line to measure a segment, know what betweenness is and how to determine which point is between the other two. Students must understand the properties of equality for real numbers. Use definition of congruent segments and midpoint to apply appropriate equality theorems. Students will use midpoint for a number line and also to find the midpoint of a segment on the coordinate plane using the Midpoint formula.

Standard Essential Questions Pacing Key Academic Guideline Vocabulary G.CO.1 Know precise definitions of Can I find the distance between two points on a number line? 6 Include day angle, circle, perpendicular line, parallel of review & Point line, and line segment, based on the Can I apply the properties of real numbers to the measure of segments? day of test Line undefined notions of point, line, distance Plane along a line, and distance around a How do I identify congruent segments and find the midpoints of the segments? Ray circular arc. Segment Given three points and the length of the segment, can I find which one is Postulate G.GPE.6 Find the point on a directed between the other two? Theorem line segment between two given points Betweenness that partitions the segment in a given Can I name and graph ordered pairs on a coordinate plane, then find the length Congruent ratio. or midpoint? Congruent segments Midpoint G.GPE.7 Use coordinates to compute Can I find the midpoint of any given segment? Coordinate plane perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. 5 Common Core Curriculum Map 2012-2013 Foundations of CCM2

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.

Location of these resources Suggested Resources by Unit

2. www.Quizlet.com (flashcards for symbols and terms)

3. Infinite Geometry- www.kutasoftware. Com

4. Glencoe Geometry Concepts and 6 Common Core Curriculum Map 2012-2013 Foundations of CCM2 Applications, Glencoe 2004

Common Core Unit Name: Angles Unit Number: 4

Enduring Understanding

Students will define what an angle is, parts of an angle, types of angles, angle measures. Students will also use the angle addition postulate and bisect an angle. They will also know what adjacent angles are, linear pairs, complementary and supplementary angles, vertical angles and relationships of angles or perpendicular lines. Standard Essential Questions P Key Academic Vocabulary G.CO.1 Know precise definitions of angle, circle, Can I name and identify parts of an angle? 9 perpendicular line, parallel line, and line segment, based Can I measure, draw, and classify angles? Angle on the undefined notions of point, line, distance along a Can I find the measure of an angle and the bisector of an Opposite rays

7 Common Core Curriculum Map 2012-2013 Foundations of CCM2 line, and distance around a circular arc. angle? Straight angle Vertex G.CO.12 Make formal geometric constructions with a What are adjacent angles and linear pairs? Sides variety of tools and methods (compass and straightedge, Interior string, reflective devices, paper folding, dynamic What are complementary and supplementary angles? How Exterior geometric software, etc.). Copying a segment; copying an do I find the complement or supplement of an angle? Protractor angle; bisecting a segment; bisecting an angle; Degrees constructing perpendicular lines, including the Can I identify vertical angles, what is the relationship? Angle bisector perpendicular bisector of a line segment; and Adjacent angles constructing a line parallel to a given line through a point Can I construct perpendicular lines and identify the Linear pair not on the line. NQ.2 Define appropriate quantities for the properties? Complementary purpose of descriptive modeling.NQ. 3 Choose a level of Supplementary accuracy appropriate to limitations on measurement Vertical when reporting quantities. Congruent Perpendicular G.CO.9 Prove theorems about lines and angles. Right angle Theorems include: vertical angles are congruent; when a Obtuse angle transversal crosses parallel lines, alternate Acute angle 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.

Common Core Unit Name: Angles Unit Number: 4

Suggested Resources by Unit Location of these resources

Use www.classzone.com (must create free account) to assess section quizzes & tests

8 Common Core Curriculum Map 2012-2013 Foundations of CCM2 Glencoe Geometry Concepts and Applications, Glencoe 2004

Infinite Geometry – www.kutasoftware.com www.quizlet.com – vocabulary

SAS Curriculum pathways- www.sascurriculumpathways.com

Common Core Unit Name: Parallel/PerpendicularLines Unit Number: 5

9 Common Core Curriculum Map 2012-2013 Foundations of CCM2 Enduring Understanding: Students will be able to determine the relationship between corresponding, consecutive interior, alternate interior, alternate exterior, vertical, and consecutive interior angles when given parallel lines that are cut by a transversal. They will be able to identify those relationships and determine angle measures accordingly. Students will write the equation of line that is parallel or perpendicular to another line after exploring/reviewing the relationships between slopes of parallel and perpendicular lines.

Standard Essential Questions Pa Key Academic Vocabulary cin g Gui del ine G.GMD.3 Use volume formulas for cylinders, Can I describe relationships among lines, parts of lines, 7 Alternate interior angles pyramids, cones, and spheres to solve problems.★ and planes? Day Alternate exterior angles G.CO.12 Make formal geometric constructions with a s to Consecutive interior angles variety of tools and methods (compass and Can I identify the relationships among pairs of interior and incl Corresponding angles straightedge, string, reflective devices, paper folding, exterior angles formed by two parallel lines and a ude Exterior angles dynamic geometric software, etc.). Copying a transversal? revi Exterior angles segment; copying an angle; bisecting a segment; ew Interior angles bisecting an angle; constructing perpendicular lines, What is the relationship among corresponding angles? and Line including the perpendicular bisector of a line segment; test. Parallel lines and constructing a line parallel to a given line through Can I prove two lines are parallel or perpendicular using Perpendicular lines a point not on the line. NQ.2 Define appropriate the slope? Skew lines quantities for the purpose of descriptive modeling.NQ. Transversal 3 Choose a level of accuracy appropriate to limitations Can I write the equation of a line that is parallel or Slope on measurement when reporting quantities. perpendicular to a given line? Slope intercept

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.

G.PE.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). Unit 5 Parallel Lines 10 Common Core Curriculum Map 2012-2013 Foundations of CCM2 Suggested Resources by Unit Location of these resources

Glencoe Geometry Concepts and Applications, Glencoe 2004 www.mathisfun.com www.sascurriculumpathways.com

Infinite Geometry- www.kutasoftwar.com - free worksheets

Common Core Unit Name: Triangles and Congruency Unit Number: 6

Students will be able to classify triangles by the angles and sides and find missing angle measures. Solve for a variable or missing angle measure using algebraic equations. Students will be able to identify types of motion in geometry: reflections, translations, and rotations. Students will understand what congruent triangles are and use corresponding parts to write congruent statements. Use applications from theorems to prove triangle congruency by SAS, SSS, ASA, and AAS.

Standard Essential Questions P Key Academic Vocabulary Can I identify the parts of a triangle and classify by its sides Vertex G.CO.5 Given a geometric figure and a rotation, or angle measures? 6 Sides reflection, or translation, draw the transformed figure Angle using, e.g., graph paper, tracing paper, or geometry Can I use the Angle Sum Theorem? Acute software. Specify a sequence of transformations that will Obtuse carry a given figure onto another. What is the difference in a rotation, reflection, or translation? Right Equilateral G.CO. 6 Use geometric descriptions of rigid motions to Can I identify congruent triangles by the labels? Scalene transform figures and to predict the effect of a given rigid Isosceles motion on a given figure; given two figures, use the Can I properly identify congruent triangles by SSS, SAS, Legs definition of congruence in terms of rigid motions to ASA, or AAS? Base decide if they are congruent. Equilangular Translation G.CO.7 Use the definition of congruence in terms of rigid Reflection motions to show that two triangles are congruent if and Rotation only if corresponding pairs of sides and corresponding Preimage pairs of angles are congruent. Image Congruent triangle G.CO.8 Explain how the criteria for triangle congruence Corresponding parts (ASA, SAS, and SSS) follow from the definition of Included angle congruence in terms of rigid motions. Included side

Unit 6 Triangles and Congruency Suggested Resources by Unit Location of these resources

Use www.classzone.com (must create . free account) to assess section quizzes & tests Infinite Geometry www.mathisfun.com

SAS Curriculum Pathways

Infinite Geometry – www.kutasoftware.com http://www.insidemathematics.org/i ndex.php/tools-for-teachers (Problems of the month are excellent modeling problems.)

Glencoe Geometry Concepts and Applications, Glencoe 2004

Common Core Unit Name: Triangles Unit Number: 7

Enduring Understanding: Students will be able to identify segments as medians, altitudes, perpendicular bisectors, angle bisectors, or midsegments by applying the definition of each in a triangle. Students will be able to label the parts of isosceles and right triangles and apply the theorems for each to find angle measures or side lengths of the appropriate triangle.

Standard Essential Questions P Key Academic Vocabulary G.CO.10 Prove theorems about triangles. Theorems Can I use the properties of median, altitude, and 7 include: measures of interior angles of a triangle sum to midsegments to distinguish between types of segments and Median 180°; base angles of isosceles triangles are congruent; find missing parts? Centriod the segment joining midpoints of two sides of a triangle is Concurrent parallel to the third side and half the length; the medians Can I verify that the medians of a triangle meet at a point in Altitude of a triangle meet at a point. the middle and solve appropriate problems? Perpendicular bisector Angle bisector G.CO.12 Make formal geometric constructions with a Can I construct a perpendicular bisector, altitude, median or Orthocenter variety of tools and methods (compass and straightedge, midsegment for any given triangle? Legs string, reflective devices, paper folding, dynamic Base geometric software, etc.). Copying a segment; copying an Can I identify an angle bisector and use it to find angle Hypotenuse angle; bisecting a segment; bisecting an angle; measures in a triangle? Pythagorean theorem constructing perpendicular lines, including the perpendicular bisector of a line segment; and Can I apply the Pythagorean theorem to find missing constructing a line parallel to a given line through a point measures in a right triangle? not on the line. NQ.2 Define appropriate quantities for the purpose of descriptive modeling.NQ. 3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. 14 Common Core Curriculum Map 2012-2013 Foundations of CCM2

G.CO.13 Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

Unit 7 Triangles Suggested Resources by Unit Location of these resources

Infinite Geometry

Glencoe Geometry Concepts and Applications, Glencoe 2004 www.quizlet.com for flashcards and vocabulary quizzes

Common Core Unit Name: Parallelograms Unit Number: 8

Enduring Understanding: Students will be able to identify the parts of a quadrilateral and find the sum of the measures of the interior angles for any given quadrilateral. They will also be able to show and test to determine if a quadrilateral is a parallelogram. Students will be able to use properties of rectangles, rhombi, squares and trapezoids.

Standard Essential Questions P Key Academic Vocabulary G. CO. 3 Describe the rotations and reflections of a rectangle, parallelogram, What is a quadrilateral and how do I trapezoid, or regular polygon that maps each figure to itself. name it? 7 Quadrilateral Consecutive side G.CO. 11 Prove theorems about parallelograms. Theorems include: opposite What are the properties of a Nonconsecutive sides are congruent, opposite angles are congruent, the diagonals of a parallelogram? Diagonal parallelogram bisect each other, and conversely, rectangles are Parallelogram parallelograms with congruent diagonals How do I determine if a quadrilateral is a Rectangle parallelogram? Rhombus Square What are the properties used to identify Trapezoid a square, rhombus, or rectangle? Base Legs What are the parts of a trapezoid? Base angles Median of a trapezoid Isosceles trapezoid Midsegment

Unit 8 Parallelograms Suggested Resources by Unit Location of these resources

Use www.classzone.com (must create free account) to assess section quizzes & tests www.kutasoftware.com www.sascurriculumpathways.com

Infinite Geometry

Common Core Unit Name: Polygons Unit Number: 9

Students will be able to name a polygon by determining the number of sides and angle. They will be able to find interior and exterior angles in any given polygon. Students will also be able to find the area of triangles, trapezoids, and regular polygons. Explore ratios of perimeters and areas in similar polygons. Students will be able to identify figures with line symmetry and rotational symmetry. Create tessellations using transformations.

Standard Essential Questions P Key Academic Vocabulary G.CO.12 Make formal geometric constructions with a variety What is a polygon? How do I name a polygon? What of tools and methods (compass and straightedge, string, makes a polygon regular? 8 Polygon reflective devices, paper folding, dynamic geometric Regular polygon software, etc.). Copying a segment; copying an angle; What equation do I use to find the sum of the measures Convex bisecting a segment; bisecting an angle; constructing of the interior angles of any polygon? Concave perpendicular lines, including the perpendicular bisector of a Pentagon line segment; and constructing a line parallel to a given line What is the sum of the measure of all exterior angles of Square through a point not on the line. NQ.2 Define appropriate any polygon? Hexagon quantities for the purpose of descriptive modeling.NQ. 3 Heptagon Choose a level of accuracy appropriate to limitations on What is the relationship between congruent polygons and Octagon measurement when reporting quantities. their area? Nonagon n-gon

18 Common Core Curriculum Map 2012-2013 Foundations of CCM2 G.GPE.7 Use coordinates to compute perimeters of Do I know the formulas used to find the area of a triangle, apothem polygons and areas of triangles and rectangles, e.g., using trapezoid, or a regular polygon? symmetry the distance formula. line of symmetry G.CO.2 2. Represent transformations in the plane using, What is a line of symmetry? Can I draw lines of symmetry tessellation e.g., transparencies and geometry software; describe if given a polygon? rotational turn transformations as functions that take points in the plane as inputs and give other points as outputs. Compare What is a tessellation and can I create one using regular transformations that preserve distance and angle to those polygons? that do not (e.g., translation versus horizontal stretch).

G.CO.3,3. Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.

G.CO.5 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.

Suggested Resources by Unit Location of these resources 9 Polygons

SAS Curriculum Pathways www.mathisfun.com www.quizlet.com

Common Core Unit Name: Circles Unit Number: 10

Enduring Understanding: Students will be able to identify and describe relationships among angles, radii and chords. Also, they will identify and use relationships among arcs, chords, and diameters of a circle. Use area formula to find area or sectors of a circle.

G.C.2 Identify and describe relationships among Essential Questions Pacing Key Academic inscribed angles, radii, and chords. Include the Guideline Vocabulary relationship between central, inscribed, and Can I identify the parts of a circle? circumscribed angles; inscribed angles on a diameter are 7 Includes day for Circle right angles; the radius of a circle is perpendicular to the Can I distinguish between a radius, chord, and a diameter? tangent where the radius intersects the circle. test Radius Chord Can I find the radius given the diameter? What is the Diameter G.C.5 Derive using similarity the fact that the length of relationship between all radii in a circle? the arc intercepted by an angle is proportional to the Central angle radius, and define the radian measure of the angle as the Arc What is an arc? Central angle? How do I find the degree Minor arc constant of proportionality; derive the formula for the area measure of a minor arc? Major arc? Semicircle? of a sector. Major arc Semicircle What is the arc addition postulate? How can I use it to find Adjacent arcs missing arc lengths? Circumscribed G.GMD.1 Give an informal argument for the formulas for Inscribed the circumference of a circle, area of a circle, volume of a How do I show minor arcs are congruent using two chords? Circumference cylinder, pyramid, and cone. Use dissection arguments, 20 Common Core Curriculum Map 2012-2013 Foundations of CCM2 Pi What is an inscribed polygon? Sector

How do I find the circumference of a circle?

How do I find the area of a circle, or the area of a sector?

Cavalieri’s principle, and informal limit arguments.

Suggested Resources by Location of these resources Unit- Circles

3. Infinite Geometry- www.kutasoftware.com

Common Core Unit Name: Surface Area and Volume Unit Number: 11

Enduring Understandings: Students will explore different solids and be able to tell likes and differences. Find the lateral area and surface areas of prisms and cylinders, along with finding the volume. Explore regular pyramids and cones and find the lateral and surface areas. Students will find the volume of pyramids, cones, and spheres. Identify relationships between similar solid figures.

Standard Essential Questions Pacing Key Academic A.CED. 4 Rearrange formulas to highlight a quantity of interest, using the How do I classify prisms and pyramids? Guideline Vocabulary same reasoning as in solving equations. For example, rearrange Ohm’s 7 days to law V =IR to highlight resistance. What is the difference in a cylinder and a include test and cone? review 22 Common Core Curriculum Map 2012-2013 Foundations of CCM2 G.GMD.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.★ Can I identify the parts of a prism or cone to accurately find the surface area? G. MG. 2 Use the concept of density when referring to situations involving area and volume models, such as persons per square mile. Can I identify the base of a figure to find the area?

Can I use the formula to accurately find the volume of prism or cylinder?

Can I find the surface area of a pyramid or cone?

What are the formulas used to find the volume of a cone or pyramid?

What is a sphere? Can I find the surface area or volume? Given the volume, can I find the length of the radius?

What are the characteristics of similar solid figures?

Suggested Resources by Location of these resources Unit- Surface area and volume

2. http://www.insidemathematics.org/i ndex.php/tools-for-teachers (Problems of the month are excellent modeling problems.) 23 Common Core Curriculum Map 2012-2013 Foundations of CCM2

3. www.sascurriculumpathways.com

4. www.quizlet.com

Common Core Unit Name: Types of Proofs and Writing Proofs Unit Number: 12

Students will learn what a proof is, the types of proofs, and how to write a two column proof. Students will use properties of equality in algebraic and geometric 24 Common Core Curriculum Map 2012-2013 Foundations of CCM2 proofs. Show how logic reasoning can be used to analyze and prove a geometric theorem. Students will begin to write basic proofs to prove the vertical angle theorem, prove two triangles are congruent, and prove two segments are congruent given a figure.

Standard Essential Questions Pacing Key Academic Guideline Vocabulary

G.CO.9 Prove theorems about lines and angles. Theorems Can I write a two column proof for any given 6 days to Paragraph proof include: vertical angles are congruent; when a transversal conjecture? include test and Two column proof crosses parallel lines, alternate review Indirect reasoning interior angles are congruent and corresponding angles are What is a paragraph proof? Deductive reasoning congruent; points on a perpendicular bisector of a line Negation segment are exactly those Can I write a proof proving the vertical angle theorem? Statement equidistant from the segment’s endpoints. Inverse Given a two column proof, can I identify the reasons Converse G.CO.10 Prove theorems about triangles. Theorems for each step? contrapositive include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the Can I write an algebraic proof, showing how to solve segment joining midpoints of two sides of a triangle is any given equation? parallel to the third side and half the length; the medians of a triangle meet at a point. Given a reason, can I indentify the appropriate statement in a two column proof? G.CO. 11 Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals

Unit 12 Types of Proofs and Writing Proofs Suggested Resources by Unit Location of these resources

25 Common Core Curriculum Map 2012-2013 Foundations of CCM2 Access for Windows- GEO unit