Mathematics Grade 8

SCUSD Curriculum Map ¨Clast updated 10/28/14

Curriculum

Map

DRAFT Last Updated October 28, 2014

Grade 8 Mathematics

Mathematics

Grade 8

Sacramento City Unified School District

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SCUSD Curriculum Map ¨Clast updated 10/28/14

Grade 8 Mathematics

Table of Contents

8th Grade Year-at-a-Glance .....................................................................................................................................................................................................................................................................................................3

Unit 1: Geometry and Transformations ..................................................................................................................................................................................................................................................................................4

Unit 2: Solving One-Variable Equations ..................................................................................................................................................................................................................................................................................9

Unit 3: Linear Relationships ................................................................................................................................................................................................................................................................................................. 12

Unit 4: Functions .................................................................................................................................................................................................................................................................................................................. 16

Unit 5: Systems of Equations ............................................................................................................................................................................................................................................................................................... 21

Unit 6: Irrational Numbers and the Pythagorean Theorem................................................................................................................................................................................................................................................. 27

Unit 7: Exponents ................................................................................................................................................................................................................................................................................................................. 34

Unit 8: Bivariate Data ........................................................................................................................................................................................................................................................................................................... 39

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Grade 8 Mathematics

SCUSD Curriculum Map ¨Clast updated 10/28/14

8th Grade Year-at-a-Glance

Month

October

Unit 2:

Solving One-Variable Equations

8.EE.7

November

Unit 3:

Linear Relationships

December

Unit 4:

Functions

January/February

Unit 5:

Systems of Equations

March/April

Unit 6:

Irrational Numbers and The Pythagorean Theorem

8.NS.1

8.NS.2

8.EE.2

April/May

Unit 7:

Exponents

8.EE.1

8.EE.3

8.EE.4

Ch. 10

May/June

Unit 8:

Bivariate Data

8.SP.1

8.SP.2

8.SP.3

8.SP.4

Ch. 9

District Benchmark 2

*Alignment TBD

*Alignment TBD

CAASPP

(Smarter Balanced Summative Test)

Textbook Chapters

Big Ideas MATH Course 3

8.G.1

8.G.2

8.G.3

District Benchmark 1

District Benchmark 3

Content

Standards

Unit 1:

Geometry and Transformations

September

*Alignment TBD

Unit

8.G.4

8.G.5

Ch. 2 and 3

Ch. 1

8.EE.5

8.EE.6

8.F.2

8.F.1

8.F.3

8.F.4

8.F.5

Ch. 4

includes 8.F.4

Does not include 8.F.2

Ch. 6

includes 8.F.2

8.EE.8

Ch. 5

8.G.6

8.G.7

8.G.8

8.G.9

Ch. 7 and 8

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Grade 8 Mathematics

SCUSD Curriculum Map ¨Clast updated 10/28/14

Unit 1: Geometry and Transformations

(Approx. 18 Days)

Content Standards: 8.G.1 ¨C 5

In this unit, students will be able to identify, describe, and draw geometric figures and the effects of transformations on them.

Common Core State Standards-Mathematics:

Geometry

8.G

Understand congruence and similarity using physical models, transparencies, or geometry software.

1 . Verify experimentally the properties of rotations, reflections, and translations:

a. Lines are taken to lines, and line segments to line segments of the same length.

b. Angles are taken to angles of the same measure.

c. Parallel lines are taken to parallel lines.

2 . Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures,

describe a sequence that exhibits the congruence between them.

3 . Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

4 . Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar

two-dimensional figures, describe a sequence that exhibits the similarity between them.

5 . Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for

similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.

Standards for Mathematical Practice:

SMP-1. Make Sense of Problems and Persevere in Solving Them

SMP-3. Construct Viable Arguments and Critique the Reasoning of Others

SMP-5. Use Appropriate Tools Strategically

SMP-6. Attend to Precision

SMP-7. Look For and Make Use of Structure

ELD Standards to Support Unit:

Part I: Interacting in Meaningful Ways:

A. Collaborative:

2. Interacting with others in written English in various communicative forms

4. Adapting language choices to various contexts

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Grade 8 Mathematics

SCUSD Curriculum Map ¨Clast updated 10/28/14

B. Interpretive:

5. Listening actively to spoken English in a range of social and academic contexts.

C. Productive:

11. Supporting own opinions and evaluating others¡¯ opinions in speaking and writing.

Part II: Learning About How English Works

A. Expanding and Enriching Ideas

5. Modifying to add details.

B. Connecting and Condensing Ideas

6. Connecting Ideas

7. Condensing Ideas

SEL Competencies:

Self-awareness

Self-management

Social awareness

Relationship skills

Responsible decision making

Unit #1 Geometry and Transformations

Essential Questions

Assessments for

Learning

Assessments/Tasks

aligned to learning

outcomes:

Sequence of Learning Outcomes

8.G.1, 8.G.2, 8.G.3, 8.G.4, 8.G.5

Strategies for Teaching and

Learning

Students will be able to¡­

Note: These Assessments

are suggested, not

required.

?

What conclusions For Learning Outcomes

1 ¨C 5 (click on links):

can you make

Representing and

about the

Combining

properties of

Transformations

rotations,

1) Use physical models, transparencies, the Sample Lesson (click on link):

coordinate plane, and geometry

Using Physical Models with

software to experiment with rotations,

Rotations, Reflections, and

reflections, and translations of

Translations

geometric figures, and make conjectures

Differentiation

e.g., EL, SpEd, GATE

Differentiation Support

for Unit:

Use of math journals for

differentiation and

formative assessment

(use link below)



videos/m

ath-journals

Flexible grouping:

? Content

? Interest

? Project/product

? Level

Resources

CCSS Support for Unit:

CA Mathematics Framework Gr. 8

p. 25 ¨C 30

North Carolina

8th Grade Math Unpacked Content:

p. 26 ¨C 32

8th Grade Common Core State Standards Flip

Book

Big Ideas Math TE:

Lesson 2.2

p. 50 ¨C introduces transformations in general

and focuses on translations

Lesson 2.3

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