Prioritized Categories All categories Not categorized A-APR A-CED A-REI A-SSE Modeling Prioritized

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#### MAT-HS.A-APR.01

 MAT-HS Targeted Standards(A) Concept: Algebra(SSE) Domain: Arithmetic with Polynomials and Rational ExpressionsCluster: Perform arithmetic operations on polynomials MAT-HS.A-APR.01 Add, subtract, and multiply polynomials. Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication.

## Student Learning Targets:

### Knowledge Targets

• I can identify polynomials.

### Reasoning Targets

• I can recognize how closure applies under these operations.
• I can

### Skills (Performance) Targets

• I can add, subtract, and multiply polynomials and recognize how closure applies under these operations.

• I can
• I can

## Proficiency Scale

 Score Description Sample Activity 4.0 (advanced) In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations. Shannon, a cabinetmaker, started out with a block of wood, and then she hollowed out the center of the block.  The dimensions of the block and the cutout is shown below. Write the volume of the original block, and the volume of the hole. (ignore units for this problem) Write the polynomial for the volume of the wood remaining. 3.5 In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. 3.0 (proficient) The student can: add, subtract, and multiply polynomials. recognize that when two polynomials are added, subtracted, or multiplied, a polynomial is the result. The student exhibits no major errors or omissions. Simplify the following: (2x2+3x+5)+(5x3-9x-8) (x4+3x3-x2)-(4x3+8) (x+2)(5x2-7x+10) 2.5 The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content). 2.0 (progressing) There are no major errors or omissions regarding the simpler details and processes as the student can: recognize and recall specific terminology, such as: polynomial trinomial binomial term combine like terms. However, the student exhibits major errors or omissions regarding the more complex ideas and processes. Simplify the following: 2x2+7x-9+3x2+5x-10 (2x+3)(4x-8) 1.5 The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content). 1.0 (beginning) With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content). 0.5 With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content). 0.0 Even with help, the student demonstrates no understanding or skill.

## Resources

 Web Vocab Polynomial

#### MAT-HS.A-CED.01

 MAT-HS Targeted Standards(A) Concept: Algebra(CED) Domain: Creating ExpressionsCluster: Create equations that describe numbers or relationships MAT-HS.A-CED.01 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

This standard is divided into parts.  Click on these links to see specific proficiency scales.

MAT-HS.A-CED.01.a

MAT-HS.A-CED.01.b

MAT-HS.A-CED.01.c

MAT-HS.A-CED.01.d

#### MAT-HS.A-CED.01.b

 MAT-HS Targeted Standards(A) Concept: Algebra(CED) Domain: Creating ExpressionsCluster: Create equations that describe numbers or relationships MAT-HS.A-CED.01.b Create and solve exponential equations in one variable

• I can

• I can

• I can

• I can

## Proficiency Scale

 Score Description Sample Activity 4.0 (advanced) In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations. 3.5 In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. 3.0 (proficient) The student can: The student exhibits no major errors or omissions. 2.5 The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content). 2.0 (progressing) There are no major errors or omissions regarding the simpler details and processes as the student:   However, the student exhibits major errors or omissions regarding the more complex ideas and processes. 1.5 The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content). 1.0 (beginning) With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content). - 0.5 With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content). 0.0 Even with help, the student demonstrates no understanding or skill. -

## Resources

 Web Vocab

#### MAT-HS.A-CED.01.c

 MAT-HS Targeted Standards(A) Concept: Algebra(CED) Domain: Creating ExpressionsCluster: Create equations that describe numbers or relationships MAT-HS.A-CED.01.c Create and solve linear inequalities in one variable.

## Student Learning Targets:

• I can

• I can
• I can

### Skills (Performance) Targets

• I can create a linear equation or inequality given a situation or set of data.

• I can

## Proficiency Scale

Score   Description Sample Activity
4.0 In addition to achieving level 3.0 content, the student makes in-depth inferences and applications that go beyond what was taught
• Write an equation of a parabola that has two x-intercepts and a minimum vertex.

• Create a rational equation given a situation or set or data
3.5 In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success.
3.0

Can create equations and inequalities in one variable and use them to solve problems (linear only)

The student exhibits no major errors or omissions.

## Alg II Create and Graph Quadratic Functions Proficiency Scale

 Score Description Sample Activity 4.0 (advanced) In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations. Given two parabolic graphs, create the equations for both functions, graph them, and describe the similarities and differences. Function 1:  the turning point is (2,-3) and another random point on the graph is (4,5)   Function 2:  the turning point is (2,-3) and another random point on the graph is (5,6) 3.5 In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. 3.0 (proficient) The student can: create quadratic equations in two variables given information about the function. The student exhibits no major errors or omissions. Given the x-intercepts of 6 and -2, write a quadratic function that would also pass through the point (1,5). 2.5 The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content). 2.0 (progressing) There are no major errors or omissions regarding the simpler details and processes as the student can: recognize and recall specific terminology such as: quadratic identify the graph and/or equation of quadratic functions two variables on a coordinate plane and label the axes and scales. However, the student exhibits major errors or omissions regarding the more complex ideas and processes. Given the graph below, write the quadratic function. 1.5 The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content). 1.0 (beginning) With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content). 0.5 With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content). 0.0 Even with help, the student demonstrates no understanding or skill.

## Alg II Create and Graph Exponential Functions Proficiency Scale

 Score Description Sample Activity 4.0 (advanced) In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations. Given two exponential graphs, create the equations for both functions, graph them, and describe the similarities and differences.Function 1:  contains the point (0, 4) and (1, 12)   Function 2:  contains the point (0, 4) and (1, 2) 3.5 In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. 3.0 (proficient) The student can: create exponential equations in two variables given information about the function. The student exhibits no major errors or omissions. Given the points (0, 3) and (-1, 6), create the exponential equation. 2.5 The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content). 2.0 (progressing) There are no major errors or omissions regarding the simpler details and processes as the student can: recognize and recall specific terminology such as: exponential identify the graph and/or equation of exponential functions in two variables on a coordinate plane and label the axes and scales. However, the student exhibits major errors or omissions regarding the more complex ideas and processes. Given the graph below, write the exponential function. 1.5 The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content). 1.0 (beginning) With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content). - 0.5 With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content). 0.0 Even with help, the student demonstrates no understanding or skill. -

## Alg II Create and Graph Polynomial Functions Proficiency Scale

 Score Description Sample Activity 4.0 (advanced) In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations. Given two polynomial graphs, create the equations for both functions, graph them, and describe the similarities and differences. Function 1:  the zeros are  1, 2, 3, and another random point on the graph is (0,-6)   Function 2:  the zeros are 1, 2,3, and another random point on the graph is (0,18) 3.5 In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. 3.0 (proficient) The student can: create polynomial equations in two variables on a coordinate plane and label the axes and scales. The student exhibits no major errors or omissions. Given the x-intercepts of -4, -1 and 2, write a polynomial function that would also pass through the point (0,-2). 2.5 The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content). 2.0 (progressing) There are no major errors or omissions regarding the simpler details and processes as the student can: recognize and recall specific terminology such as: polynomial identify the graph and/or equation of polynomial functions in two variables on a coordinate plane and label the axes and scales.    However, the student exhibits major errors or omissions regarding the more complex ideas and processes. Given the graph below, write the polynomial function. 1.5 The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content). 1.0 (beginning) With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content). - 0.5 With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content). 0.0 Even with help, the student demonstrates no understanding or skill. -

## Resources

 Web Vocab coordinate plane scale

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