Download CARNEGIE COURSE 3 RESOURCE.V2

 RESOURCE FOR THE COURSE 3 CARNEGIE TEXTBOOK
SECTION and PAGE NUMBER
TOPIC
INSTRUCTIONS:
Topic Titles and Numbers are Based on the Summaries at the End of Each Chapter Yellow Background = Most Relevant
White Background = Additional Lessons of possible interest
Numbers for Link Titles correspond to the numbers for Topic Titles 1.1 Pages 3 ‐ 12 Solving Problems Using Equations
1. Solving Two‐Step Equations
1. Solve linear equations by combining like terms (6:38)
http://learnzillion.com/lessons/1009-solve-linear-equations-by-combining-like-terms
1. Use inverse operations to solve equations (4:42)
http://learnzillion.com/lessons/147-use-inverse-operations-to-solve-equations
1. Compare two functions by analyzing an equation and a verbal xxxdescription (5:13)
http://learnzillion.com/lessons/1194-compare-two-functions-by-analyzing-an-equation-and-a-verbaldescription
1.2 Pages 13 ‐ 24 Equations with Infinite or No XXXXXXXXXXXXXXXXXXSolutions
1. Solving Equations that have Infinite Solutions 2. Solving Equations that have No Solutions 1. Understand a linear equation with infinite solutions (4:56)
http://learnzillion.com/lessons/1006-understand-a-linear-equation-with-infinite-solutions
2. Understand a linear equation that has no solutions (4:39)
http://learnzillion.com/lessons/1007-understand-a-linear-equation-that-has-no-solutions
1.3 Pages 25 ‐ 30 Solving Linear Equations
1. Writing and Solving Linear Equations
1. Age word problem #1 (5:20)
http://www.khanacademy.org/math/algebra/solving-linear-equations-andinequalities/age_word_problems_tut/v/ex-1-age-word-problem
1. Age word problem #2 (6:27)
http://www.khanacademy.org/math/algebra/solving-linear-equations-andinequalities/age_word_problems_tut/v/ex-3-age-word-problem
1. Solving percent problems (5:25)
http://www.khanacademy.org/math/arithmetic/decimals/percent_word_probs/v/solving-percent-problems3
1.4 Pages 31 ‐ 36 Solving More Linear Equations
1.Solving Linear Equations
1. Solve linear equations by using the distributive property (4:35)
http://learnzillion.com/lessons/1010-solve-linear-equations-by-using-the-distributive-property-of-equality
1. Solving linear equations by choosing from among different xxxstrategies (4:57)
http://learnzillion.com/lessons/1012-solving-linear-equations-by-choosing-from-among-differentstrategies
1. Solving Linear Equations (7:54)
http://www.youtube.com/watch?v=5GXfGnlzp9s
1. Art of Problem Solving: Linear Equations with Fractions (5:42)
http://www.youtube.com/watch?v=aW4fKupD0eQ
2.1 Pages 43 ‐ 54 Developing Sequences of 1. Writing Sequences of Numbers Generated From the SSSCreation of Diagrams and Written Contexts xxxxxxx Numbers from Diagrams and Contexts 2. Stating Varying Growth Patterns of Sequences
SKIP ‐ NOT A COMMON CORE STANDARD
2.2 Pages 55 ‐ 66 Describing Characteristics of Graphs
1. Describing Characteristics of Graphs Using Mathematical xxxTerminology 2. Describing a Real World Situation Represented by a Given xxxGraph
1. & 2. Discrete vs. Continuous graphs (10:59)
http://www.youtube.com/watch?v=H_PVhEeMHbM
2. Use Graphs and Tables to Represent Real World Situations and xxxSolve Problems ‐ CC.8.F.4 (5:25)
http://www.youtube.com/watch?v=0vIWYJ5x_cg
2.3 Pages 67 ‐ 84 Defining and Recognizing Functions
1. Determining Whether a Relation is a Function 2. Determining Whether a Graph or Scatterplot is a Function 3. Determining Whether an Equation is a Function 4. Determining Whether a Context Describes a Function 1. Defining Domain and Range (3:35)
http://www.khanacademy.org/math/algebra/algebra-functions/domain_and_range/v/domain-and-range-1
1. INTERACTIVE: What is a Relation http://2012.carnegielearning.com/2012.03.72/dlc/RelationTool.swf
1. & 4. Identify function properties (5:04)
http://learnzillion.com/lessons/1190-identify-function-properties
2. Functions ‐ Definition and Vertical Line Test (3:40)
http://www.youtube.com/watch?v=LkFMvqwbVb0
2. Vertical Line Test Examples (1:38)
http://www.youtube.com/watch?v=UnTgfPO-1Lw
3. Determining if an Equation is a Function (Show to 2:56)
http://www.youtube.com/watch?v=aPHU12SBVHo
1. Defining Domain and Range (1:52)
http://www.youtube.com/watch?v=i7I9B2reCDs
2. Is a graph a function? Use the vertical line test! (6:46)
http://www.youtube.com/watch?v=kw59VGSvvws
2. Vertical Line Test (4:21)
http://www.youtube.com/watch?annotation_id=annotation_1030464289&feature=iv&src_vid=-xvDn4FOJQ&v=y10mTZY3C1E
3. Determining Whether An Equation Describes a Function or Not zzz(8:08)
http://www.youtube.com/watch?v=MQOvM5qoBP0
2.4 Pages 85 ‐ 90 Linear Functions
1. Graphing Linear Functions
1.Recognize the characteristics of a linear function (4:48)
http://learnzillion.com/lessons/1316-recognize-the-charactertistics-of-a-linear-function
1. Graphing a linear functions from points (5:35)
http://www.khanacademy.org/math/algebra/algebra-functions/graphing_functions/v/graphing-a--basicfunction
2.5 Pages 91 ‐ 98 Using Tables, Graphs, and Equations, xxxxxxxxxxxxxxxxxxxxxxxPart 1
1. Using Tables, Graphs, and Equations to Represent the xxSame Problem
1. Words, Equations, Tables, and Graphs representing functions and xxxwriting equations (7:52)
http://www.youtube.com/watch?v=rkNzDe_uYD4
1. Equations, Tables and Graphs of Linear Equations (13:09)
http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/graphing_solutions2/v/graphs-of-linear-equations
2.6 Pages 99 ‐ 106 Using Tables, Graphs, and Equations xxxxxxxxxxxxxxxxxxxxxxxPart 2
1. Estimating Values of Expressions Involving Decimals 2. Using the Point of Intersection to Compare Two Models
1. Estimation with Decimals (3:00)
http://www.youtube.com/watch?v=BkwI6Uu0vi4
2. Determine the best deal by comparing equations (4:40)
http://learnzillion.com/lessons/1534-determine-the-best-deal-by-comparing-equations
2. Comparing Pizza cost using the intersection of two linear models
http://www.youtube.com/watch?v=LF6DFd1xrx8
2.7 Pages 107 ‐ 114 Introduction to Non‐linear XXXXXXXXXXXXXXXXXXXFunctions
1. Graphing Non‐Linear Functions
1. Graphing Linear and Non‐Linear Functions (5:48)
http://www.youtube.com/watch?v=AtA2zsdNSFw
1. Describe the rate of change of linear and non‐linear functions xx(6:05)
http://learnzillion.com/lessons/1840-describe-the-rate-of-change-of-linear-and-nonlinear-functions
1. A. Graphic Linear Functions (9:59)
http://www.youtube.com/watch?v=PO-S0OMmEqg
1. B. Graphic Quadratic Functions (10:01
http://www.youtube.com/watch?v=SMa1nrRQ0hs
1. C. Graphing Cubic Functions (8:19)
http://www.youtube.com/watch?v=NOi-LJahMbs
1. D. Graphing Absolute Functions (9:36)
http://www.youtube.com/watch?v=Pfv5zI23rI4
1. MANIPULATIVE ‐ To Explore Cubic, Quadratic and Linear zzzFunctions
http://www.mathopenref.com/cubicexplorer.html
3.1 Pages 129 ‐ 144 Determining Rate of Change from XXXXXXXXXXXXXXXXXXXXXa Graph
1. Using Rise Over Run to Calculate the Rate of Change of xxxa Linear Function
1.Describe positive and negative slopes using Rise Over Run (6:05)
http://learnzillion.com/lessons/1468-describe-positive-and-negative-slopes
1. Finding the Rate of Change (Slope) of a Line Using Rise Over Run xxx(3:27)
http://www.youtube.com/watch?v=lvAGcUyd5Dc
1. Slope and Unit Rate using Rise Over Run (4:55)
http://www.youtube.com/watch?v=BdrPs_rLiyQ
3.2 Pages 145 ‐ 162 Determining Rate of Change xxxxxxxxxxxxxxxxxxxxxxxxxfrom a Table
1. Determining Rate of Change from a Table
1. Rate of Change from a Table (2:13)
http://www.youtube.com/watch?v=Rpez02gILdU
3.3 Pages 163 ‐ 170 Determining Rate of Change from 1. Determining Rate of Change from a Context
XXXXXXXXXXXXXXXXXXX a Context
1. Interpret The Rate of Change/Slope in The Context of Everyday xxxLife Using a Table (7:58)
1. Interpret The Rate of Change (Slope) Within The Context of xxxEveryday Life (4:26)
http://www.youtube.com/watch?v=6p02XPwgIDk
http://www.youtube.com/watch?v=0Vpvhyf2EMk
3.4 Pages 171 ‐ 184 Determining Rate of Change from XXXXXXXXXXXXXXXXXXXan Equation
1. Determining Rate of Change from an Equation
1. Rate of Change and Slope (9:48)
http://www.youtube.com/watch?v=FiCfbyosuLE
1. A. Definition of Slope (2.59)
http://www.youtube.com/watch?v=n7di-3CYRBo
1. B. Slope‐Intercept Form (3:32)
http://www.youtube.com/watch?v=2DomGn4ZhiM
1. Determining a linear function by analyzing the rate of change. zzz(3:54)
http://learnzillion.com/lessons/1317-describe-the-rate-of-change-of-a-linear-function
1. Find the slope of a linear function (5:50)
http://learnzillion.com/lessons/2452-find-the-slope-of-a-linear-function
3.5 Pages 185 ‐ 194 Determining y ‐ intercepts from XXXXXXXXXXXXXXXXXXXVarious Representations
1. Determine the Y‐Intercept of a Linear Equation
1. Locating and describing the y‐intercept of a linear function (3:37)
http://learnzillion.com/lessons/1319-locating-and-describing-the-yintercept-of-a-linear-function
1. X and Y intercepts (4:04)
http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/graphing_with_intercepts/v/x--and-y-intercepts
3.6 Pages 195 ‐ 208 Determining the Rate of Change XXXXXXXXXXXXXXXXXXXand the y ‐ intercept
1. Using Slope‐Intercept Form to Graph a Line 2. Using the Point‐Slope form of a Linear Equation 3. Using the Standard Form of a Linear Equation
1. Graphing a line in slope ‐ intercept form (3:00)
http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/equation-of-aline/v/graphing-a-line-in-slope-intercept-form
2. Linear Equations in Point ‐ Slope Form (9:37 ‐ can stop at 3:43)
http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/v/linearequations-in-point-slope-form
3. Linear Equations in Standard Form (10:07 ‐ can stop at 2:36)
http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/v/linearequations-in-standard-form
4.1 Pages 217 ‐ 224 Analyzing Problem Situations xxxxxxxxxxxxxxxxxxxxxxxxUsing Multiple Representations
1. Analyzing Problem Situations Using Multiple xxxRepresentations
1. Multiple Representations (visual not great; long ‐ 13 min)
http://www.youtube.com/watch?v=_om8vAv6hzQ
4.2 Pages 225 ‐ 234 Interpreting the Standard Form xxxxxxxxxxxxxxxxxxxxxxxxof a Linear Equation
1. Interpreting the Standard Form of a Linear Equation
1. Using the Standard Form of a Line ‐ solves a money problem xxxxusing an equation written in standard form (5:09)
http://learnzillion.com/lessons/769-create-the-appropriate-linear-relationship-by-using-a-table-to-find-theintercepts
4.3 Pages 235 ‐ 245 Connecting the Standard Form xxxxxxxxxxxxxxxxxxxxxxxxwith the Slope‐Intercept
1. Determining the Slope and Intercept of a Linear xxxEquation in Standard Form. 2. Converting Linear Equations between Standard Form xxxand Slope‐Intercept Form
1. Converting to Slope‐Intercept Form and Graphing (2:40)
http://www.youtube.com/watch?v=Zj-9Zc9yKYU
2. Definition of the Standard Form of a Linear Equation (4:03)
http://www.youtube.com/watch?v=Is7h4uBjKDo
2. Converting From Standard Form to Slope Intercept Form (3:58)
http://www.youtube.com/watch?v=QH_9hsNjuk0
4.4 Pages 246 ‐ 254 Intervals of Increase, Decrease and xxxxxxxxxxxxxxxxxxxxxxxxNo Change
1. Identifying Functions as Increasing, Decreasing or xxxConstant. 2. Identifying Intervals of Increase, Decrease and Constant xxxValues of a Function
1. Increasing, Decreasing, or Constant Speed (9:13)
http://www.youtube.com/watch?v=4J-mUek-zGw
1. & 2. Increasing and decreasing linear functions (6:49)
http://learnzillion.com/lessons/1839-describe-the-rate-of-change-on-an-interval-using-a-graph
4.5 Pages 255 ‐ 270 Developing the Graph of a 1. Writing a Piecewise Function from a Table or Context xxxxxxxxxxxxxxxxxxxPiecewise Function 2. Graphing a Piecewise from a Table, Context, or Diagram
SKIP ‐ NOT A COMMON CORE STANDARD
5.1 Pages 283 ‐ 290 Rational Numbers
1. Comparing and Ordering Rational Numbers using a xxxNumber Line 2. Performing Operations with Rational Numbers
SKIP ‐ NOT A COMMON CORE STANDARD
5.2 Pages 291 ‐ 296 Irrational Numbers
1. Identifying Terminating and Repeating Decimals 2. Writing Repeating Decimals as Fraction 3. Identifying Irrational Numbers
1. Terminating and Repeating Decimals (4:29)
http://www.youtube.com/watch?v=pIDkl8OORak
2. How to Convert Repeating Decimals into Fractions (2.18)
http://www.youtube.com/watch?v=TPSspbs1oVs
3. Definition of an Irrational number (4:59)
http://learnzillion.com/lessons/220-understand-and-apply-the-definition-of-irrational-numbers
2. How to Convert a repeating Decimal into a Fraction (8:53 ‐‐ Can zzzStop at 3:44)
http://www.youtube.com/watch?v=6s8y08E1psk
5.3 Pages 297 ‐ 304 Real Numbers and Their xxxxxxxxxxxxxxxxxxxxxxxxxxxProperties
1. Classifying Numbers in the Real Number System 2. Understanding the Properties of Real Numbers
1. INTERACTIVE: Rational and Irrational Numbers http://2012.carnegielearning.com/2012.03.72/dlc/RealNumbersTool.swf
2. Properties of Real Numbers
http://www.cengage.com/resource_uploads/downloads/1439048479_222446.pdf.
2. The Distributive and Commutative Property
www.amphimath.com
2. Rewrite problems with rational numbers using different zzzproperties http://learnzillion.com/lessons/1420-rewrite-problems-with-rational-numbers-using-different-properties-ofmultiplication-and-division
of multiplication and division (2:48)
6.1 Pages 313 ‐ 334 The Pythagorean Theorem
1. Applying the Pythagorean Theorem
1. INTERACTIVE ‐ The Pythagorean Theorem (Excellent!)
http://2012.carnegielearning.com/2012.03.72/dlc/PythagoreanTheoremTool.swf
1. Find the length of the hypotenuse of a right triangle using the xxPythagorean Theorem (2:31)
http://learnzillion.com/lessons/1262-find-the-length-of-the-hypotenuse-of-a-right-triangle-using-thepythagorean-theorem
6.2 Pages 335 ‐ 342 The Converse of the Pythagorean xxxxxxxxxxxxxxxxxxxxxxxxxxTheorem 1. Applying the Converse of the Pythagorean Theorem 1. Use the Pythagorean Theorem to see if a triangle is a right triangle xx(4:35)
http://learnzillion.com/lessons/1260-use-the-pythagorean-theorem-to-see-if-a-triangle-is-a-right-triangle
6.3 Pages 343 ‐ 348 Solving for Unknown Lengths
1. Applying the Pythagorean Theorem to Solve Real‐World xxProblems
1. Using The Pythagorean Theorem to Calculation the Base of a xxxMonitor (5:34 ‐ Start at 3:00)
http://www.youtube.com/watch?v=ATKbXZsBnfI
1. Find the length of the hypotenuse of a right triangle using the xxxPythagorean Theorem (2:31)
http://learnzillion.com/lessons/1262-find-the-length-of-the-hypotenuse-of-a-right-triangle-using-thepythagorean-theorem
6.4 Pages 349 ‐ 356 The Distance between Two Points xxxxxxxxxxxxxxxxxxxxxxxxxxin a Coordinate System
1. Determining the Distance between Two Points in a xxxCoordinate System
1. Solve real‐world, mathematical problems involving coordinate xxxxplanes (5:55)
http://learnzillion.com/lessons/3461-solve-realworld-mathematical-problems-involving-coordinate-planes
1. Apply the Pythagorean Theorem to find the distance between xxxxtwo points in a coordinate system (4:10)
http://learnzillion.com/student/lessons/1311
1. Derive the Distance Formula using the Pythagorean Theorem zzz(9:38)
http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analyticgeometry/v/distance-formula
6.5 Pages 357 ‐ 364 Diagonals in Two Dimensionals
1. Determining the Lengths of Diagonal using the xxxPythagorean Theorem
1. Find the area of a two dimensional figure on the coordinate xxplane (3:53)
http://learnzillion.com/student/lessons/1312
1. How to Find the Length of a Diagonal Line Running Though a xxRectangle (2:02)
http://www.youtube.com/watch?v=sg8vuDQdTgM
6.6 Pages 365 ‐ 376 Diagonals in Three Dimensions
1. Determining the Lengths in 3‐Dimensional Solids
1. Apply the Pythagorean Theorem to three dimensional figures xxxusing right triangles (4:08)
http://learnzillion.com/lessons/1303-apply-the-pythagorean-theorem-to-three-dimensional-figures-usingright-triangles
1. Find the longest distance inside a rectangular box using the zzzPythagorean Theorem (10:21)
http://www.youtube.com/watch?v=oNRIYov2i-8
7.1 Pages 385 ‐ 394 Translations Using Geometric xxxxxxxxxxxxxxxxxxxxxxxxxFigures
1. Translating Geometric Figures
Introduction to Transformations: (Translations, Rotations,
Reflections). (10:13)
http://www.youtube.com/watch?v=r3lN_BADmPQ
1. Investigate translations (4:36)
http://learnzillion.com/lessons/3045-investigate-translations
1. Translating A Triangle On The Coordinate Plane http://www.youtube.com/watch?v=XdjH_EWhCZ0
1. INTERACTIVE ‐Translation
http://www.mathsisfun.com/geometry/translation.html
7.2 Pages 395 ‐ 406 Translations of Linear Functions
1. Translating Linear Functions
1. Translations of linear functions (3:25) http://www.youtube.com/watch?v=B4NJFnTxiQY
1. Horizontally translate linear equations (9:52)
http://learnzillion.com/lessons/3968-horizontally-translate-linear-equations
7.3 Pages 407 ‐ 414 Rotations of Geometric Figures on xxxxxxxxxxxxxxxxxxxxxxxxthe Coordinate Plane
1. Rotating Geometric Figures on a Coordinate Plane
1. Rotations in the Coordinate Plane (9:07)
http://www.youtube.com/watch?v=C1Z87L4WV8U
1. Graph a rotated image using coordinates (5:26)
http://learnzillion.com/lessons/3320-graph-a-rotated-image-using-coordinates
1. Rotation of Objects on the Coordinate Plane (10:36)
http://www.youtube.com/watch?v=on1l04J8A88
1. INTERACTIVE ‐ ROTATION
http://www.mathsisfun.com/geometry/rotation.html
1. Rotations ( 10:35)
http://www.youtube.com/watch?v=XEvpCmp6rhQ
7.4 Pages 415 ‐ 422 Reflections of Geometric Figures xxxxxxxxxxxxxxxxxxxxxxxxxxon the Coordinate Plane
1.Reflecting Geometric Figures on the Coordinate Plane
1. Graph a reflected image using coordinates (4:53)
http://learnzillion.com/lessons/3319-graph-a-reflected-image-using-coordinates
1. INTERACTIVE ‐ Reflection
http://www.mathsisfun.com/geometry/reflection.html
1. Reflections on the Coordinate Plane (9:05)
http://www.youtube.com/watch?v=EDlMOFfc4J0
8.1 Pages 429 ‐ 440 Translations, Rotations, and xxxxxxxxxxxxxxxxxxxxxxxxxReflections of Triangles
1. Translating Triangles in the Coordinate Plane 2. Rotating Triangles in the Coordinate Plane 3. Reflecting Triangles in the Coordinate Plane
1. Demonstrate congruence using a transformation sequence
http://learnzillion.com/lessons/3156-demonstrate-congruence-using-a-transformation-sequence
1. Translating A Triangle On The Coordinate Plane (3:58)
http://www.youtube.com/watch?v=XdjH_EWhCZ0
2. Rotation of Objects on the Coordinate Plane (10:36)
http://www.youtube.com/watch?v=on1l04J8A88
1. & 3. Transformations on a Coordinate Plane http://www.youtube.com/watch?v=nNbNaCeARMM
3. Graph a reflected image using coordinates (4:53)
http://learnzillion.com/lessons/3319-graph-a-reflected-image-using-coordinates
1., 2. & 3. INTERACTIVE ‐ Geometric Transformations (translation, xxxxxxxxxxreflection, rotation and dilation) http://2012.carnegielearning.com/2012.03.72/dlc/GeometricTransformationsTool.swf
8.2 Pages 441 ‐ 450 Congruent Triangles
1. Identifying Corresponding Sides and Angles of xxxCongruent Triangles
1. Finding Congruent Triangles (7:27)
http://www.youtube.com/watch?v=d5UCZ9hO8X4
1. Introduction to Congruent Triangles (6:15)
http://www.youtube.com/watch?v=CA1TvVRApkQ
1. Proving Triangles are Congruent http://www.youtube.com/watch?v=NAhcmPS5k9g
8.3 Pages 451 ‐ 460 SSS and SAS Congruence
1.Using SSS Congruence Theorem to Identify Congruent xxTriangles 2. Using SAS Congruence Theorem to Identify Congruent xxTriangles 1. Introduction to Congruent Triangles (6:15)
http://www.youtube.com/watch?v=CA1TvVRApkQ
1. Proving Triangles are Congruent http://www.youtube.com/watch?v=NAhcmPS5k9g
1. Congruent Triangles SSS, SAS (4:33)
http://www.youtube.com/watch?v=ZVtPNgthV_w
1. Finding Congruent Triangles (7:27)
http://www.youtube.com/watch?v=d5UCZ9hO8X4
8.4 Pages 461 ‐ 470 ASA and AAS Congruence
1. Using ASA Congruence Theorem to Identify Congruent xxTriangles 2. Using AAS Congruence Theorem to Identify Congruent xxTriangles 1. Introduction to Congruent Triangles (6:15)
http://www.youtube.com/watch?v=CA1TvVRApkQ
1. Proving Triangles are Congruent http://www.youtube.com/watch?v=NAhcmPS5k9g
1. Finding Congruent Triangles (7:27)
http://www.youtube.com/watch?v=d5UCZ9hO8X4
1. Finding Congruent Triangles (7:27)
http://www.youtube.com/watch?v=d5UCZ9hO8X4
1. Triangle Congruency: ASA and AAS
http://www.showme.com/sh/?h=M1PyIoC
9.1 Pages 479 ‐ 490 Dilations of Triangles
1. Dilating Triangles
1. Dilation Of Objects On The Coordinate Plane http://www.youtube.com/watch?v=mWrvZdxQ0_A
1. Dilation Transformation
http://www.youtube.com/watch?v=HjtQzgrlFnw
1. MANIPULATIVE ‐ Resizing http://www.mathsisfun.com/geometry/resizing.html
9.2 Pages 491 ‐ 498 Similar Triangles
1. Properties of Similar Triangles 2. Using Similar Triangles to Find Unknown Measures
1. Prove two figures are similar after a dilation (5:23)
http://learnzillion.com/lessons/1357-prove-two-figures-are-similar-after-a-dilation
1. Similar Triangle Basics http://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/v/similar-triangle-basics
2. Solving for Unknown Values Using the Properties of Similar xxxTriangles http://www.youtube.com/watch?v=ueYQII8Lous (unknown values)
1. INTERACTIVE ‐ Similar Triangles
http://www.mathopenref.com/similartriangles.html
9.3 Pages 499 ‐ 508 AA, SAS, and SSS Similarity xxxxxxxxxxxxxxxxxxxxxxxxxxTheorems
1. AA, SAS, and SSS Similarity Theorems
1. Similarity Postulates (12:13)
http://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/v/similarity-postulates
9.4 Pages 509 ‐ 516 Similar Triangles on the xxxxxxxxxxxxxxxxxxxxxxxxxxCoordinate Plane
1. Similar Triangles on the Coordinate Plane
1. Identifying similar triangles in the coordinate plane (10:20)
http://www.youtube.com/watch?v=e6sh8AXz41E
1. Line and Angle Relationships ‐ looks at parallel, perpendicular xxand intersecting lines; angles of lines through transversals xx(11:23)
http://www.youtube.com/watch?v=glH3svacKPI
1. Similarity in the Coordinate Plane (12:37)
http://www.youtube.com/watch?v=eoXmnUd5w-M
10.1 Pages 525 ‐ 534 Line Relationships
1. Defining the Relationship Between Two Lines
1. Line and Angle Relationships ‐ looks at parallel, perpendicular xxxand http://www.youtube.com/watch?v=glH3svacKPI
intersecting lines; angles of lines through transversals xxx(11:23)
10.2 Pages 535 ‐ 544 Angle Relationships Formed by xxxxxxxxxxxxxxxxxxxxxxxxxxTwo Intersecting Lines
1. Defining Angle Relationships formed by Two xxIntersecting lines.
1. Angles at the intersection of two lines (7:13)
http://www.youtube.com/watch?v=_7aUxFzTG5w
2. Line And Angle Relationships ‐ xxxAn excellent PowerPoint presentation that covers parallel and http://www.worldofteaching.com/powerpoints/maths/linesandangles2.ppt
xxxperpendicular lines and all angle relationships formed by a xxxtransversal through parallel lines.
10.3 Pages 545 ‐ 562 Angle Relationships Formed by xxxxxxxxxxxxxxxxxxxxxxxxxxTwo Lines Intersected
1. Exploring Angle Relationships Formed by Two Lines xxxIntersected
1. Line and Angle Relationships ‐ looks at parallel, perpendicular xxxand http://www.youtube.com/watch?v=glH3svacKPI
intersecting lines; angles of lines through transversals xxx(11:23)
10.4 Pages 563 ‐ 576 Slopes of Parallel and xxxxxxxxxxxxxxxxxxxxxxxx Perpendicular Lines
1. Determining Slopes of Parallel and Perpendicular Lines
1. Write the equations of perpendicular lines (3:59)
http://learnzillion.com/lessons/252-write-the-equations-of-perpendicular-lines
1. Slopes of Parallel and Perpendicular Lines (7:07)
http://www.youtube.com/watch?v=7eUdRomZyjY
1. Linear Equations ‐ Slopes of Perpendicular Lines (Negative xxxReciprocal), Proof (4:19)
http://www.youtube.com/watch?v=DAeXPJ3Jd2Y
10.5 Pages 577 ‐ 586 Line Transformations
1. Translating Lines 2. Rotating Lines 3. Reflecting Lines
1. Translations of linear functions (3:25) http://www.youtube.com/watch?v=B4NJFnTxiQY
1. & 2. Transforming Linear Functions (11:45)
http://www.youtube.com/watch?v=va3q_IRIgKQ
1. & 2. INTERACTIVE ‐ Translating and Rotating Lines
http://nrich.maths.org/6539
3. Line reflected in coordinate plane (STOP at 1:57)
http://www.youtube.com/watch?v=avKMlrp-Wyw
1., 2. & 3. INTERACTIVE ‐ Geometric Transformations (translation, xxxxxxxxxxxreflection, rotation and dilation) http://2012.carnegielearning.com/2012.03.72/dlc/GeometricTransformationsTool.swf
3. General Discussion of Reflection of figures and points (13:52)
http://www.youtube.com/watch?v=1JZrGr2FMsM
11.1 Pages 597 ‐ 606 Using a Graph ‐ Solve a Linear xxxxxxxxxxxxxxxxxxxxxxxxxxSystem
1. Writing a System of Equations 2. Evaluating Expressions in Systems 3. Graphing Systems of Equations 4. Solving Systems of Equations by Graphing
1. & 2. Find the solution to a pair of linear equations by using xxxxxxxxtables (4:46)
http://learnzillion.com/lessons/4038-find-the-solution-to-a-pair-of-linear-equations-by-using-tables
1. & 2. Decide whether a point is a solution to a pair of linear xxxxxxxxequations (4:56 ‐ can stop at 3:45)
http://learnzillion.com/lessons/4039-decide-whether-a-point-is-a-solution-to-a-pair-of-linear-equations
3. & 4. Find the solution to a pair of linear equations by looking at xxxxxxx their graphs (4:22)
http://learnzillion.com/lessons/4040-find-the-solution-to-a-pair-of-linear-equations-by-looking-at-theirgraphs
3. & 4. Solving Linear Systems by Graphing (8:29)
http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations/v/solvinglinear-systems-by-graphing
4. I can solve a system of linear equations using a graph (4:11)
http://www.youtube.com/watch?v=wxelTS_zuQk
4. INTERACTIVE ‐ Systems of Linear Equations a. Place the point at the intersection ‐ should be a solution to both xxxequations http://2012.carnegielearning.com/2012.03.72/dlc/LinSystemsTool.swf
b. Do not place the point at the intersection ‐ should not be a xxxsolution to both equations
1. , 2., 3. & 4. Simultaneous Equations that have No Solution, xxxxxxxxxxxxxxxInfinite Solutions or One Solution (6:30)
http://learnzillion.com/lessons/4041-find-the-number-of-solutions-to-a-pair-of-linear-equations-usingtables-and-graphs
11.2 Pages 607 ‐ 620 Graphs and Solutions of Linear xxxxxxxxxxxxxxxxxxxxxxxxxSystems
1. Writing a System of Equations and Interpreting the xxxSolutions 2. Solving a System of Equations Graphically 3. Using Slope to Determine Parallel and Perpendicular Lines
1. Model a real‐life situation using a system of linear equations xxx(6:51)
http://learnzillion.com/lessons/2381-model-a-reallife-situation-using-a-system-of-linear-equations
2. Graphing Systems of Equations (6:34)
http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/systems-throughexamples/v/graphings-systems-of-equations
1. & 2. Represent constraints on solutions using systems of linear xxxxxxxxequations (8.35)
http://learnzillion.com/lessons/3011-represent-constraints-on-solutions-using-systems-of-linearequations
3. Slopes of Perpendicular Lines (6:05)
http://www.youtube.com/watch?v=38QL-j-TKMM
3. Slopes of Parallel and Perpendicular Lines (7:07)
http://www.youtube.com/watch?v=7eUdRomZyjY
4. INTERACTIVE ‐ Systems of Linear Equations a. Place the point at the intersection ‐ should be a solution to both xxxequations http://2012.carnegielearning.com/2012.03.72/dlc/LinSystemsTool.swf
b. Do not place the point at the intersection ‐ should not be a xxxsolution to both equations
11.3 Pages 621 ‐ 630 1. Solving a System of Equations Using the Substitution x11.4 Pages 631 ‐ 636 zzzMethod
Using Substitution to Solve a Linear System, Part 1. & 2.
1. Solving Linear Systems Substitution Method (7:57)
http://www.youtube.com/watch?v=mDw2F2zvThs
1. Solving Systems of Linear Equations by Substitution (10:13 ‐‐can xxxstop at 7:42)
http://www.youtube.com/watch?v=-84vnmO7MtQ
12.1 Pages 647 ‐ 654 1. Solving a Linear System Using the Linear Combination x12.2 Pages 655 ‐ 662 x zzzMethod (also called the Process of Elimination or xSolving a Linear System Using the Linear Combination zzzAddition)
xMethod (also called the Process of Elimination or Addition)
1. Solving Systems by Elimination (10:40) NOTE: Preferred Lesson http://www.youtube.com/watch?v=cHsQHsoG-rU
1. Solving systems of equations by linear combination (elimination) xxx(5:02)
http://learnzillion.com/lessons/733-solving-systems-of-equations-by-linear-combination-elimination
1. A. Solve systems of equations: using elimination (4:51)
http://learnzillion.com/lessons/161-solve-systems-of-equations-using-elimination-3
1. B. Solve systems of equations: using elimination (5:01)
http://learnzillion.com/lessons/162-solve-systems-of-equations-using-elimination-4
1. Steps for Using Linear Combinations (Addition Method) ‐ http://www.algebra-class.com/systems-of-equations.html
xxxText only. Several different examples of solving by elimination
12.3 Pages 663 ‐ 668 Using the Best Method ‐ Solve a zzzzzzzzzzzzzzzzzzzzzzzzzLinear System
1. Writing a Linear System of Equations to Represent a zzzProblem Context 2. Choosing the Best Method ‐ Solve a Linear System 3. Writing and Solving an Inequality to Represent a Problem zzzContext
1. Model a real‐life situation using a system of linear equations xxx(6:51)
http://learnzillion.com/lessons/2381-model-a-reallife-situation-using-a-system-of-linear-equations
1. Represent constraints on solutions using systems of linear xxxequations (8.35)
http://learnzillion.com/lessons/3011-represent-constraints-on-solutions-using-systems-of-linearequations
2. Choosing the Best Method to Solve a Linear System (7:23)
http://www.youtube.com/watch?v=J9QcqBNJDP0
2. Choosing the best method for solving a system of equation (6:10)
http://www.youtube.com/watch?v=tB8ckwYgsaU
3. Solving Word Problems Involving Inequalities (3:36)
http://www.youtube.com/watch?v=cE22xKvi2fI
3. Solve inequalities with inverse operations (2:53)
http://learnzillion.com/lessons/1661-solve-inequalities-with-inverse-operations
2. Video Practice CW Solving Systems Linear Equations (15:25)
http://www.youtube.com/watch?v=Cmp281cQMpk
2. Solving Systems of Linear Equations‐‐All Methods (13:40)
http://www.youtube.com/watch?v=1ZUMH9QxHM8
3. Represent constraints on solutions using linear inequalities http://learnzillion.com/lessons/2908-represent-constraints-on-solutions-using-linear-inequalities
xxx((7:20)
12.4 Pages 669 ‐ 674 Using a Graphing Calculator XXXXXXXXX 1. Using a Graphing Calculator to Solve Linear Systems xxxxxxx To Solve Linear Systems SKIP ‐ NOT A COMMON CORE STANDARD
12.5 Pages 675 ‐ 678 xUsing the Graphing xxxxxxx XXXXXXXX 1. Using the Graphing Calculator to Analyze aathe System Calculator to Analyze the System
SKIP ‐ NOT A COMMON CORE STANDARD
13.1 Pages 687 ‐ 692 Powers and Exponents
1. Writing a Power as Product
1. Represent repeated multiplication using exponents (4:52)
http://learnzillion.com/lessons/1512-represent-repeated-multiplication-using-exponents
1. Exponents with a Negative Base (9:57)
http://www.youtube.com/watch?v=JUaSg_zyyHU
1. Powers of Negative Numbers (5:47)
http://www.youtube.com/watch?v=YLuLpmjOFYw
1. Negative numbers and exponents: xxxNegative number in parentheses raised to a power verses xxxnegative number NOT in parentheses raised to a power (2:37)
http://www.youtube.com/watch?v=nGI3hZv4ssw
13.2 Pages 693 ‐ 702 Multiplying and Dividing Powers
1. Writing a Product as a Power 2. Using Properties of Exponents to Operate with Powers
1. Exponent Laws I: Multiplying and Dividing Powers (5:27)
http://www.youtube.com/watch?v=AlmmIPSUwJo
1. Raise an exponential expression to a power (4:30)
http://learnzillion.com/lessons/1515-raise-an-exponential-expression-to-a-power
2. Simplify Exponential Expressions ‐ Positive Exponents Only (2:53)
http://www.youtube.com/watch?v=VBLPvkx5iDE
2. Simplifying Combined Properties of Exponents Expressions xxx(13:06)
http://www.youtube.com/watch?v=ihIn5UuOqoo
13.3 Pages 703 ‐ 710 Zero and Negative Exponents
1. Simplifying Expressions with Zero and Negative Exponents
1. A ‐ Zero and Negative Exponent Properties (5:37) http://www.youtube.com/watch?v=9svqGWwyN8Q
xxxxxxxxxShow this Lesson before Lesson B below.
1. B ‐ Exponent Rules ‐ Multiplication & Division (11:16) http://www.youtube.com/watch?v=Wn98T4yuWM8
xxxxxxxxShow this Lesson before Lesson C below.
1. C ‐ Simplify expressions with 0 and negative exponents (5:02) http://learnzillion.com/lessons/176-simplify-expressions-with-0-and-negative-exponents-part-1
xxxxxxx Show this Lesson before Lesson D below.
1. D ‐ Simplifying Expressions with Negative Exponents (3:50)
http://www.youtube.com/watch?v=7gTfmXhFOVo
1. Apply a negative exponent using patterns and rules (4:54)
http://learnzillion.com/lessons/1668-apply-a-negative-exponent-using-patterns-and-rules
1. Apply a zero exponent using patterns and rules (4:32)
http://learnzillion.com/lessons/1667-apply-a-zero-exponent-using-patterns-and-rules
13.4 Pages 711 ‐ 718 Scientific Notation
1. Expressing Large Numbers in Scientific Notation 2. Expressing Small Numbers in Scientific Notation 1. Write large numbers in scientific notation (4:13)
http://learnzillion.com/lessons/1177-write-large-numbers-in-scientific-notation
2. Write small numbers in scientific notation (4:20)
http://learnzillion.com/lessons/1255-write-small-numbers-in-scientific-notation
POWERS OF TEN This famous video that demonstrates very large and very small distances http://www.youtube.com/watch?v=0fKBhvDjuy0
in the form of exponents of positive and negative powers of 10. (9:01)
13.5 Pages 719 ‐ 728 Operations with Scientific Notation
1. Performing Operations on Numbers Written in Scientific zzzNotation
1. Multiply numbers in scientific notation (3:29)
http://learnzillion.com/lessons/1293-multiply-numbers-in-scientific-notation
1. Divide numbers in scientific notation (4:01)
http://learnzillion.com/lessons/1313-divide-numbers-in-scientific-notation
1. Scientific Notation: Multiplying and Dividing (4:36)
http://www.youtube.com/watch?v=quubYaD3fR8
1. Scientific Notation Real Life Problems (6:59)
http://www.youtube.com/watch?v=wxzXTRgZWFA
8.EE.2 Evaluate square roots of perfect squares and cube zzzzzzzxroots of perfect cubes.
Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Know that √2 is irra onal. zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz 1. Evaluate square roots of small perfect squares 2. Evaluate cube roots of small perfect cubes. 1. Find the square root of a perfect square
http://learnzillion.com/lessons/1810-find-the-square-root-of-a-perfect-square
1. Solve equations with squares and square roots
http://learnzillion.com/lessons/186-solve-equations-with-squares-and-square-roots
2. Identify perfect cubes and find cube roots
http://learnzillion.com/lessons/188-identify-perfect-cubes-and-find-cube-roots
2. Solve equations with cubes and cube roots
http://learnzillion.com/lessons/189-solve-equations-with-cubes-and-cube-roots
13.6 Pages 729 ‐ 740 Identifying the Properties of zzzzzzzzzzzzzzzzzzzzzzzzzPowers
1. Identifying the Properties of Powers
1. Properties of Powers (14:23 ‐ Can Stop at 3:43)
http://www.youtube.com/watch?v=nYqPAIUPZXc
1. Quotient Rule of Powers; Quotient Rule of Powers Raised to a xxxPower (6:46)
http://www.youtube.com/watch?v=1xae71b_WcU
1. Product Rule of Powers (i.e, multiplication of powers); Product xxxRule of Quotients (i.e., division of powers) (11:17)
http://www.youtube.com/watch?v=Wn98T4yuWM8
1. Power to a Power Rule (7:05)
http://www.youtube.com/watch?v=lsAGFuZWWDc
1. Zero and Negative Exponent Rules (5:37)
http://www.youtube.com/watch?v=9svqGWwyN8Q
1. Negative Numbers Raised to Powers; Negative of Numbers xxxRaised to Powers
http://www.youtube.com/watch?v=nGI3hZv4ssw
1. FURTHER EXAMPLES OF EACH PROPERTY ‐ KAHN ACADEMY Kahn Academy provides 7 lessons on the Properties of Powers, http://www.khanacademy.org/search?page_search_query=properties+of+powers
including: Multiplication, Division, Power to a power, Multiplied variables to a power, Divided variables to a power
14.1 Pages 747 ‐ 760 Volume of a Cylinder
1. Calculating the Volume of Right Circular Cylinders
1.Develop and apply the formula for volume of a cylinder (4:58)
http://learnzillion.com/lessons/1353-develop-and-apply-the-formula-for-volume-of-a-cylinder
2. Solve real world problems by finding volume of cylinders (4:38)
http://learnzillion.com/lessons/1663-solve-real-world-problems-by-finding-volume-of-cylinders
1. INTERACTIVE VIDEO ‐ Volume and Surface Area of Cylinders
http://2012.carnegielearning.com/2012.03.72/dlc/CylindersTool.swf
14.2 Pages 761 ‐ 774 Volume of a Cone
1. Calculating the Volume of Cones
1. Develop and apply the formula for volume of a cone (4:29)
http://learnzillion.com/lessons/1358-develop-and-apply-the-formula-for-volume-of-a-cone
1. Solve real world problems by finding volume of cones (4:48)
http://learnzillion.com/lessons/1664-solve-real-world-problems-by-finding-volume-of-cones
14.3 Pages 775 ‐ 782 Volume of a Sphere
1. Calculating the Volume of Spheres
1. Develop and apply the formula for volume of a sphere (4:48)
http://learnzillion.com/lessons/1361-develop-and-apply-the-formula-for-volume-of-a-sphere
14.4 Pages 783 ‐ 790 Volume Problems
1. Using the Volume of a Sphere to Solve Problems
1. Solve real world problems by finding volume of spheres (4:57)
http://learnzillion.com/lessons/1665-solve-real-world-problems-by-finding-volume-of-spheres
1. Solve real‐world problems involving spheres (3:22)
http://learnzillion.com/lessons/3012-solve-realworld-problems-involving-spheres
15.1 Pages 797 ‐ 806 Using Scatter Plots ‐ Display and zzzzzzzzzzzzzzzzzzzzzzzzAnalyze Two‐Variable Relationships
1. Creating Scatterplots
1. Construct a scatter plot (5:03)
http://learnzillion.com/lessons/1179-construct-a-scatter-plot
1. Interpret scatter plots by calculating the rate of change on a xxxgraph http://learnzillion.com/lessons/1034-interpret-scatter-plots-by-calculating-rate-of-change-on-a-graph
15.2 Pages 807 ‐ 816 Interpreting Patterns in Scatter zzzzzzzzzzzzzzzzzzzzzzzzzzPlots
1. Interpreting Patterns in Scatter Plots
1. Interpreting Scatter plots ‐ EXCELLENT LESSON (14:55)
http://www.youtube.com/watch?v=PE_BpXTyKCE
1. Outliers in a Scatter plot (4:23)
http://learnzillion.com/lessons/1188-interpret-a-scatter-plot-by-identifying-clusters-and-outliers
Video on Scatterplots: What a Scatterplot is; How to create a Scatterplot and How to interpret the data on a Scatterplot. NOTE: Click on button in the upper left corner of the page.
http://www.stattrek.com/statistics/charts/scatterplot.aspx?Tutorial=AP
15.3 Pages 817 ‐ 824 Connecting Tables and Scatter Plots zzzzzzzzzzzzzzzzzzzzzzzzzof Collected Data
1. Create two Sets of Points and Display Them as a Scatter zzzPlot Using a GraphingTool
NOTE: Performing an experiment is an 8th grade Common Core Standard. Instead of performing an experiment, use the Graphing Tool below to generate a scatter plot
Graphing Tool: 1. Select XY Graph 2. FOR XY TYPE: Select SCATTER http://nces.ed.gov/nceskids/createagraph/default.aspx?ID=7940ecda5bdf
3. Click on DATA tab: 4ed99241a157f0399bfe
x● Select Number of Points for Data Set x● Fill in x,y value for each point x● Fill in labels 16.3 Pages 853 ‐ 862 Performing an Experiment 1. Performing an Experiment
X SKIP ‐ NOT A COMMON CORE STANDARD
16.4 Pages 863 ‐ 872 Using Technology ‐ Determine a xxxxxxxxxxxxxxxxxxxxxxxxxxLinear Regression
1. Using Technology to Determine a Linear Regression
1. An Introduction to Linear Regression Analysis ‐ What is it? (5:17)
http://www.youtube.com/watch?v=zPG4NjIkCjc
1. INTERACTIVE: The least squares fit of a regression line to scatter plot data. (GOOD)
http://2012.carnegielearning.com/2012.03.72/dlc/LinesBestFitTool.swf
1. Using a Graphing Calculator to Determine the Correlation http://2012.carnegielearning.com/2012.03.72/dlc/LinesBestFitTool.swf
xxxCoefficent xInstead of using a graphing calculator, use the CORREL function xwith an Excel spreadsheet. Use this Video Lesson to learn how ‐ xcreates a Scatterplot and finds the Correlation Coefficient using xExcel (2:19)
https://www.youtube.com/watch?v=s2TVkYmmCAs
16.5 Pages 873 ‐ 880 Correlation
1. Determining the Correlation of Data
1. What is the correlation coefficient and what does it mean? (Good http://www.youtube.com/watch?v=372iaWfH-Dg
xxxbut long ‐ 13 min). 1. Meaning of the slope of the line of best fit (4:19)
http://www.youtube.com/watch?v=HdoOVLMoja4
17.1 Pages 889 ‐ 898 Scatter Plots and Non‐Linear Data
1. Creating Scatterplots of Linear and Non‐Linear Data
1. Introduction: Interpret and distinguish linear and non linear xxxxscatter plots (3:51)
http://learnzillion.com/lessons/1201-interpret-and-distinguish-linear-and-non-linear-scatter-plots
1. Interpret a scatter plot by identifying clusters and outliers
http://learnzillion.com/lessons/1188-interpret-a-scatter-plot-by-identifying-clusters-and-outliers
1. Determine if the trend is linear or nonlinear http://www.youtube.com/watch?v=GZ7YcEQ9GE8
17.2 Pages 899 ‐ 910 Using Two‐Way Tables ‐ Display zzzzzzzzzzzzzzzzzzzzzzzzzTwo‐Variable Data Sets
1. Using Two‐Way Tables to Display Two‐Variable Data Sets
1. Two‐Way Tables in Statistics NOTE: Click on VIEW VIDEO button
http://www.stattrek.com/statistics/two-way-table.aspx
1. How to Construct a two‐way table (4:43)
http://www.youtube.com/watch?v=aUwpxoaCV-w
1. Displaying and interpreting 2‐way tables
www.glencoe.com/sites/pdfs/impact_math/ls3_c3_two_way_tables.pdf
1. How to Construct a two‐way table (4:44)
http://learnzillion.com/lessons/1416-identify-bivariate-categorical-data-by-reading-a-twoway-table
17.3 Pages 911 ‐ 924 Using Bar Graphs to Display xxxxxxFrequencies and Relative Frequencies for Two‐
xxxxxxVariable Categorical Data
1. Using Bar Graphs to Display Frequencies and Relative
Frequencies for Two-Variable Categorical Data
SKIP ‐ NOT A COMMON CORE STANDARD