Advanced Algebra days 80-83

7/23/2019 Advanced Algebra days 80-83

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STRUCTURED CURRICULUM LESSON PLAN

Day: 080 - 081 Subject: Advanced Algebra Grade Level: High School

Correlations (SG,CAS,CFS): 6B1; 8A2, D2; 9A1

TAP:

Perform arithmetic operations involving

integers, fractions, decimals and percents,

explicitly stated or within context

Understand number systems

Understand geometric properties and

relationships; apply geometric concepts and

formulas

Use variables, number sentences, and equations

to represent solutions and solve problems

Analyze and interpret data presented in charts,graphs, tables, and other displays

Demonstrate understanding of measurement

concepts and apply measurement skills

ISAT:

Solve problems requiring computations with

whole numbers, fractions, decimals, ratios,

percents, and proportions

Understand and apply geometric concepts and

relationships

Use mathematical skills to estimate,

approximate, and predict outcomes, and to

judge reasonableness of results

Identify, analyze, and solve problems using

equations, inequalities, functions, and theirgraphs

Understand and use methods of data collection

and analysis, including tables, charts, and

comparisons

Unit Focus

Reviewing Semester One

Instructional Focus

Reviewing Semester One

Materials

Educational Strategies/Instructional Procedures

Review Units One through Five for the Semester One Final Exam, using a review format from

Appendix C.


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Integration with Core Subject(s)

LA: Understand explicit, factual information

Understand the meaning of words in context

Draw conclusions, inferring meanings from the text

SC: Analyze and interpret dataApply scientific method to solve problems

SS: Read and interpret maps, charts, graphs, and cartoons

Connections

Enrichment:

Fine Arts:

Home:

Remediation:

Technology:

Assessment

Teacher observation

Homework

Assign appropriate review problems.

Teacher Notes

Prepare copies of the semester final exam.


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Day: 082 Subject: Advanced Algebra Grade Level: High School


TAP:







formulas

Use variables, number sentences, and equations

to represent solutions and solve problems

Analyze and interpret data presented in charts,graphs, tables, and other displays



ISAT:





relationships








comparisons

Unit Focus

Assessing Semester One

Instructional Focus


Materials

Copies of Semester One Final Exam (Part A)


Administer Semester One Final Exam (Part A).


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Connections

Enrichment:

Fine Arts:

Home:

Remediation:

Technology:

Assessment

Evaluate the Semester One Final Exam (Part A).

Homework

Have students study for the Semester One Final Exam (Part B).

Teacher Notes

Solutions to the Semester One Final Exam (Part A):

1. a

2. a

3. d

4. d

5. a

6. b

7. c

8. b

9. c

10. b

11. d

12. b

13. c

14. a

15. a

16. c

17. c

18. a

19. a

20. b


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Semester One Final Exam (Part A)

Find the slope of the line defined by each linear equation.

1. 6x + 7y = 12 2. 3x - 2y = 4(x-y) + 5

a. 6

7

b. .6

7

c.7

6

d. 7

6

a.1

2.

b. 1

2

c.5

2

d. 5

2

Write the equation of the line that passes through the given points.

3. (2,3) and (-1, 0) 4. (-2, 9) and (-4, 5)

a. y = 1x 1

b. y = -1x 1

c. y = -1x + 1

d. y = 1x + 1

a. y = -7x + 23

b. y = 7x + 23

c. y = 7x 23

d. y = -7x 23

Simplify. Use positive exponents in your answer.

5. (3 x y) 6. (6x 4 3y ) ( ) 4 8 2x y

a. 27x 6 6y

b. - 27x 6 6y

c.276 6

x y

d. 276 6

x y

a.24

12x

b. 24

12x

c. 24x 12

d. -24x12

7. If g (x) = 6x + 3, find g(2a + 1) 8. If f(x) = -3x + 5 and g(x)=6x +3 x 2,

find (f + g)(x)

a. 12a + 6+3

b. 24 a+ 24a+6

c. 24 a+ 24a +9

d. 24a + 24a +3

a. 6x 3 23 5 +x

b. 3x 3 23 3+ +x

c. 6x 3 3+

d. 3x 3 23 3+ x


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Find the inverse of each function.

9. f x xb g = 3 1 10. f x xb g = +2 5

a. f x x = 1 3 1( )

b. f x x = 1 3 1( )

c. f x x=

+1 1

3( )

d. f x x=

1 1

3( )

a. f x x=

+1 5

2b g

b. f x x=

1 5

2b g

c. f x x = +1 2 5b g

d. f x x

=

1 2 5b g

Let f(x) = 2x 2 + 1 and g(x) = -3x 2

11. Find fg 12. Find g f

a. 18x 2 -24x-9

b.

9x 2 +12x+5

c. 9x 2 +12x+4

d. 18x 2 -24x+9

a. 6x 2 9

b. 6 52x

c. +6 52x

d. 6 92x +

Find the inverse of each matrix.

13. A =4 5

3 1

L

NM

O

QP 14. B =

2 3 1

3 3 1

2 4 1

L

N

MM

M

O

Q

PP

P

.

a. A =

L

NM

O

QP

1 4 5

3 1

b. A =

L

NM

O

QP

1 4 5

3 1

c. A =

L

N

MMMM

O

Q

PPPP

1

1

11

5

11

3

11

4

11

d. A =

L

N

MMMM

O

Q

PPPP

1

111

511

3

11

4

11

a. B =

L

N

MMM

O

Q

PPP

1

1 1 0

1 0 1

6 2 3

b. B =

L

N

MMM

O

Q

PPP

1

1 1 0

1 0 1

6 2 3

c. B =

L

N

M

MM

O

Q

P

PP

1

2 3 1

3 3 1

2 4 1

d. B =

L

N

MMM

O

Q

PPP

1

2 3 1

3 3 1

2 4 1


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15. What are the x-intercepts of 3x 2 =-8x-5? 16. What are the x-intercepts of x24x + 5 = 0?

a. -1, -5

3

b.

1,

5

3

c. -5

3, -1

d.5

3, 1

a. 2

b. 2

c. 2 i

d.

-2 i

17. Determine the nature of the solutions to

x 2 -6x+9=0:

18. Determine the nature of the solution(s) to

4 7 02m m+ = :

a. two non-real

b. two real

c.

one reald. no solution

a. two non-real

b. two real

c.

one reald. no solution

19. Simplify: (1+ i g2 20. Simplify: (5i)

a. 2i

b. 2I

c. 1

2i

d.1

2

i

a. 25

b. 25

c. 25I

d. 25i


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Day: 083 Subject: Advanced Algebra Grade Level: High School


TAP:







formulas

Use variables, number sentences, and

equations to represent solutions and solve

problemsAnalyze and interpret data presented in

charts, graphs, tables, and other displays



ISAT:





relationships








comparisons

Unit Focus


Instructional Focus


Materials

Copies of Semester One Final Exam (Part B)


Administer Semester One Final Exam (Part B).


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Connections

Enrichment:

Fine Arts:

Home:

Remediation:

Technology:

Assessment

Evaluate the Semester One Final Exam (Part B) using the Structured Curriculum Scoring Rubric.

Homework

Relax.

Teacher Notes

Solutions to Semester One Final Exam (Part B):

1.

a. See student work.

b. Positive

c. y = 2.4x + -32 (approximately)

d. 16

2. x 4. 3

3. ( , )1

2

3

2


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4. ( , , )1

22 1

5. a. y =2

5110x +

b. $291.20

6. g(h(9)) = 35

7. f(g(-5)) = 36

8. g(f(x)) = x-1

9.

10. a. b. (-4, -5)

c. x = -4

d. x = 0

y = -101


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Semester One Final Exam (Part B)

1. Mark was given the following data about student age and the average number of dates they

have each month.

Age 13 14 15 16 17 18 19

# of dates 1 1 3 6 7 12 15

a. Graph a scatter plot for the data.

b. Is the correlation positive, negative, or zero?

c. Find the line of the best-fit.

d. How many dates would you predict a twenty-year-old would have in a month?

2. Solve and graph the following inequality.

x 3(x 8)-2 + 4x

3. Solve the system of equations by using matrices.

5x + 2 = 3y

4x + 2y 5 = 0

4. Solve the system of equations by using matrices.

4x + y 3z = 1

8x + y z = 5

2x + y + 2z = 5

Advanced Algebra days 80-83

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