Scope and Sequence Math Grade 8

Transcription

1 Scope and Sequence Math Grade 8 Trimester 1 Keeneyville Elementary School District 20 * Start year with calculator unit Book title Investigation/Lesson Content Standard Notes Say It With Symbols Solving Equations Unit 8.EE.C.7b Prior to Investigation 1, add in 2 days on simplifying expressions (identifying and combining like terms) 16 days Investigation 1 8.EE.C.7b OMIT Inv 1.3 does not Making Sense of Symbols: align with Unit Test or Equivalent Expressions specific 8 th Grade standards Make sure students are familiar with and able to use the Distributive Property Investigation 2 Combining Expressions (2 days) 8.G.C.9 (Not necessarily to factor) Inv 2.1 can be prefaced by Moving Straight Ahead Inv 1.3 if needed Inv 2.2 p.30 Did You Know? section deals with calculating NFL QB ratings (Some students may find this very interesting) (p.86 #57 too) OMIT Inv 2.3 & 2.4 deals with volumes of 3D solids, irrelevant to the rest of the investigation Assessment working towards Say It With Symbols Investigation 3 Solving Equations (4 days w/review and quiz) 8.EE.C.7a 8.EE.C.8b OMIT Inv 3.3 & 3.4 these deal exclusively with quadratics, not part of CCSS Say It With Symbols Investigation 2/3 Quiz (Custom made) Investigation is used as an exposure Say It With Symbols

2 Scope and Sequence Math Grade 8 Looking for Pythagoras: The Pythagorean Theorem 16 or 17 days including unit review days and unit test Looking Back At Functions (5 days w/2 review days and test) Investigation 5 Reasoning With Symbols (omitted) Investigation 1: Coordinate Grids (5 days including review and quiz days) Investigation 2: Squaring Off (5 days including review and quiz days) Keeneyville Elementary School District 20 lesson to nonlinear relationships (not entire Inv) OMIT Inv 4.3 & 4.4 these deal with quadratics and exponentials, not in CCSS 8.EE.C.7b OMIT whole investigation goes farther in-depth than necessary Leads to: 8.G.B.6 8.G.B.8 8.NS.A.2 8.EE.A.2-1.1: Map Of Euclid -1.2: Planning Parks -1.3: Finding Areas -2.1: Looking for Squares -2.2: Square Roots (Supplement with 2.4??) -2.3: Using Roots to find Length Unit Test (w/linear eq. only) Investigation 3: The Pythagorean Theorem (5 days including review and quiz days) Investigation 4: Using the Pythagorean Theorem: Understanding Real Numbers Investigation 5: Using the Pythagorean Theorem: Analyzing Triangles and Circles 8.G.B.6 8.G.B.7 8.G.B.8 8.NS.A.1 8.NS.A.2 8.G.B.7 8.G.A.4 8.G.B.7 8.G.B.8-3.1: Discovering the Pythagorean Theorem -3.2: Proof of the Pythagorean Theorem (OMIT this lesson) *Instead of Investigation 3.2, do Pythagorean Pictures - 3.3: Finding Distance between 2 points OMIT this investigation OMIT this investigation Looking for Pythagoras Unit Test

3 Scope and Sequence Math Grade 8 Trimester 2 Keeneyville Elementary School District 20 Book title Investigation/Lesson Content Standard Butterflies, Pinwheels, and Investigation 1: Symmetry and 8.G.A.1 Wallpaper: Symmetry and Transformations (5 days including a review 8.G.A.1a Transformations day) 8.G.A.1b 16 days including unit 8.G.A.1c review and unit test day Investigation 2: Transformations and Congruence (3 days including a review day) Investigation 3: Transforming Coordinates (6 days including review and quiz days) Investigation 4: Dilations and Similar Figures 8.G.A.1 8.G.A.1a 8.G.A.1b 8.G.A.2 8.G.A.2 8.G.A.3 8.G.A.5 8.EE.B.6 8.G.A.4 8.G.A.5 Additional resources Use Geometer s Sketchpad for this Investigation *Include dilations from Investigation 4 Use Geometer s Sketch POLYGON Polygon: Introducing Dilation -2.1: Connecting Congruent Polygons -2.2: Congruent Triangles -2.3 Minimum Measurement (OMIT this lesson) -3.1: Coordinate Rules for Reflection -3.2: Coordinate Rules for Translation -3.3: Coordinate Rules for Rotation -3.4: Translations and Half- Turns (Maybe omit this lesson??) -3.5: Parallel Lines, Transversals, and Angle Sums (cut down to just part A, will need supplemental work) -4.1: Focus on Dilations (Move this to Investigation 1 and use Geometer s Sketchpad) -4.2: Similarity Transformations (OMIT lesson) Assessment working towards partially on Geometer s Sketchpad Investigation 3 Quiz Butterflies, Pinwheels, and Wallpaper Unit Test

4 Keeneyville Elementary School District 20 Scope and Sequence Math Grade 8 Thinking with Mathematical Models: Linear and Inverse Variation (23 days) Investigation 1: Exploring Data Patterns Investigation 2: Linear Models and Equations (6 days w/review and quiz) Investigation 3: Inverse Variation Investigation 4: Variability and Associations in Numerical Data (7 days w/2 review days and test) Investigation 5: Variability and Associations in Categorical Data 8.EE.B.5 8.EE.C.7b 8.F.A.1 8.SP.A.1 8.SP.A.2 8.SP.A.3 8.SP.A.4 Have a paper bridge-building challenge for students to supplement Investigation 1.2 Inv 2.2 is EXACTLY the same as MSA Inv 4.2 OMIT Inv 2.5 introduces students to systems of equations, but is not relevant to this book Inv 3.4 will probably not take an entire day Replace Inv 4.4 with lesson on Measures of Central Tendency (mean, median, mode, range) SKIP THIS INVESTIGATION! Investigation 3 Quiz Thinking with Math Models Unit Test

5 Keeneyville Elementary School District 20 Scope and Sequence Math Grade 8 Trimester 3 Book title Investigation/Lesson Content Standard Growing, Growing, Investigation 1: Exponential Growth Growing: Exponential (3 days) Functions 8.EE.A.3 (15 days) Investigation 2: Examining Growth Patterns 8.F.A.1 Investigation 3: Growth Factors and Growth Rates (2 days) Investigation 4: Exponential Growth (5 days w/2 review and test) Investigation 5: Patterns with Exponents 8.EE.A.1 8.EE.A.2 8.EE.A.4 Additional resources Inv 1.2 & 1.3 would benefit from having students use manipulatives OMIT Inv 3.3 discusses compound growth, which is less 8 Math CCSS, more Alg OMIT Inv 4.3 exponential decay is covered well enough in the previous investigations to skip this experiment OMIT this investigation takes exponents to a level covered only in Algebra Assessment working towards Investigation 1/2 Quiz (Check Up) Growing, Growing, Growing Unit Test

6 Keeneyville Elementary School District 20 Scope and Sequence Math Grade 8 It s In the System (16 w reviews/quizzes) Investigation 1 Linear Equations with Two Variables Investigation 2 Solving Linear Systems Symbolically (3 days w/ quiz) Investigation 3 Systems of Functions and Inequalities (2 days) Investigation 4 Systems of Linear Inequalities (6 days w/ review and quiz) 8.EE.C.8 8.EE.C.8b 8.EE.C.8 8.EE.C.8b Skip Inv 3.3 Unit Test