Chapter 14
Curriculum for Prealgebra (Grade 8)

 

 

          The following pages include two versions of the Curriculum for Grade 8. The primary version incorporates references to the Prentice-Hall Prealgebra textbook, which was recommended by the TEAM-Math Textbook Review Team. A second version incorporates references to the Glencoe Prealgebra textbook, which is being used in some schools which chose to align the Grade 8 textbook selection with the high school textbook recommendations. These two versions are the same, other than those references. The final section of the chapter is an appendix showing the alignment of the curriculum with assessments and textbook recommendations.


Eighth Grade

Quarter at a Glance (Incorporating Prentice-Hall)

 

1st SEMESTER

 

1st QUARTER

UNIT ON NUMBER

Team-Building Activities, Chapter 1:1-3 (or Say It With Symbols Inv. 1)                               Week 1 

Chapter 1:4,5,6,9 and pg 191,  Ch 1 TEST                                                                                    Week 2 

Investigation 1                                     Looking for Pythagoras                                                  Week 3 

Investigations 2 and 3                        Looking for Pythagoras, Inv 1-2 TEST                        Weeks 4,5,6     

Investigation 4                     Looking for Pythagoras (use 11-2 and 11-5 from text too)     Week 7

Investigation 3-4 TEST, Chapter 4:1-4                                                                                           Week 8

Ch 4:7 -9 and BENCHMARK TEST for 1st Quarter                                                                    Week 9

                (Additional investigations may be found in Looking for Pythagoras, Investigations 5-6)ญญญญญญญญญญญ

 

2ND QUARTER

UNIT ON RATIO, PROPORTION, PERCENT

               Chapter 6:2-3,5-9 and Chapter 9:5 and Chapter 11:4 ,  TEST                                                   Weeks 1,2 

               

UNIT ON SOLVING EQUATIONS    (Choose one option.)

 Option 1  (required for Cohort I schools, all other schools may also try)

 Investigation 2-3                Say it with Symbols and TEST                                                        Weeks 3-5 

 Chapter 2:5,6,8-10 and Chapter 7:1-3,5-6  and TEST                                                                               Weeks 6-7

 Investigation 4                    Say it with Symbols                                                                           Week 8  

SEMESTER REVIEW/ BENCHMARK TEST for 2nd Quarter and 1st Semester                    Week 9  

 

                                OR

 

Option 2

Chapter 2:1-10 and Chapter 3:5-6 and TEST                                                                                               Weeks 3-5  

Chapter 7:1-6 and TEST                                                                                                                   Weeks 6-8 

                SEMESTER REVIEW/ BENCHMARK TEST for 2nd Quarter and 1st Semester                    Week 9  

 

 

 


 

3RD QUARTER

UNIT ON GRAPHING  (Choose one option.)

 

Option 1 (required for Cohort I schools, all other schools may also try)

Moving Straight Ahead and TEST                                                                                                 Week 1-6 

(Additional Investigations may be found in Thinking with Mathematical Models, Growing Growing Growing, and Frogs Fleas and Painted Cubes )

  

                                OR

 

Option  2

                Chapter 8:1-4                                                                                                                                       Week 1-2

Chapter 13:1-2                                                                                                                                    Week 3

Ch 8 and Ch 13 Test,  Ch 8 Project on Rental Math pg 741                                                      Week 4-6

(Additional Investigations may be found in Moving Straight Ahead, Thinking with Mathematical Models, Growing Growing Growing, and Frogs Fleas and Painted Cubes )

  

UNIT ON GEOMETRY

Chapter 9:1-3,7                                                                                                                                   Week 7  

(Additional investigations may be found in Kaleidoscopes, Hubcaps, and Mirrors)

 

UNIT ON MEASUREMENT

Chapter 3:7,   5:5,   pg 292-293,   10:1-7,9,   and TEST                                                              Week 8-9 

                                And BENCHMARK TEST  for 3rd Quarter

 

 

4TH QUARTER

UNIT ON DATA AND PROBABILITY (choose one option)

Option 1: (required for Cohort I schools, all other schools may also try)

Investigation 1-4                                 Samples and Populations and TEST                                              Week 1-5  

Chapter 8:5-6 and Chapter 12:4-9   and TEST                                                                             Week 6-8

(Additional investigations may be found in Clever Counting)                                  

SEMESTER REVIEW/ BENCHMARK TEST for 4th Quarter and 2nd Semester                    Week 9

 

                OR

 

Option 2:

Chapter 12:1-2,Chapter 3:3, circle graphs pg 487-489, Ch 12 Project pg 743 and TEST    Week 1-5

                (Additional Investigations may be found in Samples and Populations)

                Chapter 8:5-6 and Chapter 12:4-9   and TEST                                                                             Week 6-8  

(Additional investigations may be found in Clever Counting)                                  

Semester Review and Benchmark Tests for 4th Quarter and 2nd Semester                               Week 9

 

                               


Eighth Grade

Topics at a Glance (Incorporating Prentice-Hall)

 

Unit on Number

 

Topic

COS

TEAM-Math

AHSGE

PH

CMP

Documentation

Identify variable and expressions.

Write variable expressions

3, 4c

 

I-1, VI-1, VII-5

Pgs. 4-5

 

 

Use order of operations.

Use grouping symbols

3

N1d

I-1

Pgs. 8-10

Say It with Symbols (Inv.1)

 

Evaluate variable expressions

Solve problems by evaluating expressions

3, 3a, 4c

N1

I-1

Pgs. 14-15

 

 

Represent, graph, and order integers.

Find opposites and absolute value

1f

N1e, N1f

 

Pgs. 18-19

 

 

To use models and rules to add integers.

1f

N1

I-2

Pgs. 24-25

 

 

To use models and rules to subtract integers.

1f

N1

I-2

Pgs. 30-31

 

 

To multiply and divide integers

1f

N1

I-2, I-3

Pgs. 44-46

 

 

To use Venn diagrams to find the GCF of two numbers.

1b

N1b, N2

I-4

Pg. 191

 

 

To use coordinates for specifying locations.

To use coordinates to specify direction and distance.

To connect properties of geometric shapes to coordinate representations.

4

N1f

 

Pg. 50-51

Looking for Pythagoras (Inv. 1)

 

To find areas of polygons drawn on dot grid.

To find the length of a line segment on a grid (as the side of a square)

To develop the concept of square root.

1e

N1

 

 

Looking for Pythagoras (Inv. 2)

 

To develop and use the Pythagorean Theorem

7, 7b, 7c, 7d

G2

VII-2

Pg. 584

Looking for Pythagoras (Inv. 3)

 

To use the relationships in 45-45-90 and 30-60-90 triangles

7d, 12

 

 

Pgs. 602-604

Looking for Pythagoras (Inv. 4)

 

To multiply powers with the same base.

To find the power of a power

2

N1a

 

Pgs. 205-206

 

 

To divide expressions with exponents.

To simplify expressions with integer exponents.

2

N1a

 

Pgs. 210-212

 

 

To write and evaluate scientific notation.

To calculate with scientific notation

2, 2a

N1a

 

Pgs. 215-216

 

 

 

Unit on Ratio, Proportion, Percent

 

Topic

COS

TEAM-Math

AHSGE

PH

CMP

Documentation

To solve proportions.

1c

N5

 

Pgs. 294-295

 

 

To solve problems with similar figures and scale drawings

12, 12a

N5, N5d, N5e, M6

VII-3, VII-7

Pgs. 299-300

 

 

Write percents as decimals and fractions.

Write decimals and fractions as percents

1a

N1

 

Pgs. 310-311

 

 

To find percentage, rate and base

1a, 1c

N4, N5

VII-7

Pgs. 315-317

 

 

To write and solve percent equations.

To use equations in solving percent problems.

1a, 1f

N4, N5

VI-1

Pgs. 320-321

 

 

To find percent of change

1a, 1c, 1f

N3

 

Pgs. 325-326

 

 

To find markups and discounts.

1a, 1f

N3, N4

VII-8

Pgs. 329-330

 

 

To solve problems with congruent triangles.

8, 8b, 12

G1b, M6

 

Pgs. 480-481

 

 

 

 

Unit on Solving Equations

 

Topic

COS

TEAM-Math

AHSGE

PH

CMP

Documentation

To identify properties of addition and multiplication.

3b

N1c

VI-1

Pgs. 66-67

Say It With Symbols (Inv.2-4)

 

To use the Distributive Property

3b

N1c

 

Pgs. 71-73

Say It With Symbols

(Inv 2-4)

 

To identify variable expressions.

To simplify expressions

3, 3b

N1c

I-2, I-3

Pg. 76

Say It With Symbols (Inv 2-4)

 

To classify types of equations.

To check equations using substitution.

3a, 4c

N1c, A3

VI-1, VII-8

Pgs. 80-81

Say It With Symbols (Inv 2-4)

 

To solve one-step equations

4c, 6

A3

VI-1, VII-8

Pgs. 86-93; 148-153

 

 

To graph and write inequalities