MAT-HS.F-LE.02
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MAT-HS Targeted Standards
(F) Concept: Function
(LE) Domain: Linear, Quadratic and Exponential Models
Cluster: Construct and compare linear and exponential models and solve problems
MAT-HS.F-LE.02 Construct linear functions given a graph, table, a description or two input-output pairs given their relationship.
**Algebra will focus on point-slope and intercepts as relationships.
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Student Learning Targets:
Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
- I can write the equation of a line given a relationship given two characteristics.
Product Targets
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Proficiency Scale
| Score |
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Description |
Sample Activity
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4.0
(advanced)
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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. |
Suppose a 5-minute overseas call costs $5.91 and a 10-minute call costs $10.86. The cost of the call and the length of the call are related. The cost of each minute is constant.
A. What is the cost, c, of a call of m minutes duration?
B. How long can you talk on the phone if you have $12 to spend?
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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. |
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3.0
(proficient)
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The student can:
- Write linear functions given...
- point/slope
- 2 points
- parallel/perpendicular lines and a slope
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- Write an equation in point-slope form for the line that has the given slope and that passes through the given point.
- m = 3 (0, -2)
- m = -2 (5,1)
- Write an equation in slope-intercept form that passes through the given points.
- Write an equation in slope-intercept form for the line that passes through the given point and is PARALLEL to the given line.
- (4,5) y = -2x + 4
- (-7,3) x = 4
- Write an equation in slope-intercept form for the line that passes through the given point and is PERPENDICULAR to the given line.
- (5, -1) y = 4x - 7
- (4, -2) y = 3
- Write the equation of the function represented by the graph in slope-intercept form.
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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). |
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2.0
(progressing)
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The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content).
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Can find slope between 2 points
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Write the equation of a line given the slope and y-intercept
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Find parallel/perpendicular slopes from an equation
However, the student exhibits major errors or omissions regarding the more complex ideas and processes.
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Write the equation of the line given a slope of 4 and a y-intercept of -5.
Find the slope of the line that goes through (-2, 5) and (3, 8).
What is the slope of the line parallel to y=3x + 8
What is the slope of the line perpendicular to y=-4x - 6
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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). |
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1.0
(beginning)
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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). |
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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
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MAT-HS.F-LE.03
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MAT-HS Targeted Standards
(F) Concept: Function
(LE) Domain: Linear, Quadratic and Exponential Models
Cluster: Construct and compare linear and exponential models and solve problems
MAT-HS.F-LE.03 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
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Student Learning Targets:
Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
- I can use graphs and tables to make the connection that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or any other polynomial function.
Product Targets
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Proficiency Scale
| Score |
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Description |
Sample Activity
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| 4.0 |
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. |
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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 |
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. |
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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 |
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). |
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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 |
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). |
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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. |
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Resources
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MAT-HS.F-LE.04
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MAT-HS Targeted Standards
(F) Concept: Function
(LE) Domain: Linear, Quadratic and Exponential Models
Cluster: Construct and compare linear and exponential models and solve problems
MAT-HS.F-LE.04 Use logarithms to express the solution to abct=d where a, c, and d are real numbers and b is a positive real number. Evaluate the logarithm using technology when appropriate.
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Student Learning Targets:
Knowledge Targets
- I can define a logarithm.
- I can recall properties of logarithms and exponents.
- I can recognize common logarithms and natural logarithms.
- I can identify an asymptote.
- I can recall the change of base formula.
Reasoning Targets
- I can convert from a logarithm to exponential expressions.
- I can identify an asymptote.
- I can expand and condense logarithms.
- I can evaluate logarithms and exponential expressions.
- I can distinguish between a natural log and common log.
Skills (Performance) Targets
- I can apply basic properties of exponents and logarithms to rewrite algebraic expressions.
- I can graph logarithmic and exponential functions.
- I can solve logarithmic and exponential equations.
- I can graph and determine the equation of an asymptote.
- I can express the solution to an exponential function as a logarithm.
- I can evaluate logarithms using technology.
Product Targets
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Alg II Solve Exponential Equations Proficiency Scale
| Score |
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Description |
Sample Activity
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4.0
(advanced)
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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. |
Describe the error in the following work:
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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. |
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3.0
(proficient)
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The student can:
The student exhibits no major errors or omissions.
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Solve the following equation.
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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). |
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2.0
(progressing)
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There are no major errors or omissions regarding the simpler details and processes as the student can:
- recognize and recall specific terminology such as :
- exponent
- logarithm
- Euler number (e)
- base
- identify an exponential equation.
- use inverse operations.
- evaluate a logarithmic expression.
However, the student exhibits major errors or omissions regarding the more complex ideas and processes.
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Which of the following is an exponential equation?
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43x-2=1
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2x+1=8
3. 3x2-2=45
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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). |
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1.0
(beginning)
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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). |
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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. |
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Resources
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MAT-HS.F-LE.05
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MAT-HS Targeted Standards
(F) Concept: Function
(LE) Domain: Linear, Quadratic and Exponential Models
Cluster: Interpret expressions for functions in terms of the situation they model.
MAT-HS.F-LE.05 Interpret the parameters in a linear, quadratic, or exponential function in terms of a context.
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Student Learning Targets:
Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
- I can explain the meaning of the coefficients, constants, factors, exponents, and intercepts in a linear, quadratic or exponential function in terms of a context.
Product Targets
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Proficiency Scale
| Score |
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Description |
Sample Activity
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| 4.0 |
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. |
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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 |
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. |
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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 |
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). |
- |
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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 |
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). |
- |
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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. |
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Resources
| Web |
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Vocab
- coefficient
- constant
- parameter
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MAT-HS.F-TF.01
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MAT-HS Targeted Standards
(F) Concept: Function
(TF) Domain: Trigonometric Functions
Cluster: Extend the domain of trigonometric functions using the unit circle.
MAT-HS.F-TF.01 Understand that the radian measure of an angle is the length of the arc on the unit circle subtended by the angle.
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Student Learning Targets:
Knowledge Targets
- I can identify when the length of an arc subtended by an angle is the same length as the radius of the circle then the angle is 1 radian.
Reasoning Targets
Skills (Performance) Targets
- I can explain that the length of the arc of a subtended angle on the unit circle is the radian measure of the angle.
Product Targets
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Proficiency Scale
| Score |
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Description |
Sample Activity
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| 4.0 |
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. |
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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 |
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. |
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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 |
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). |
- |
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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 |
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). |
- |
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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. |
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Resources
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MAT-HS.F-TF.02
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MAT-HS Targeted Standards
(F) Concept: Function
(TF) Domain: Trigonometric Functions
Cluster: Extend the domain of trigonometric functions using the unit circle.
MAT-HS.F-TF.02 Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
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Student Learning Targets:
Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
- I can use the unit circle to extend the domain of the trigonometric functions beyond quadrant I and interpret the positive angles as counterclockwise rotations in radian form and negative angles as clockwise rotations in radian form.
- I can explain the connection between the corresponding trigonometric function values in quadrant I and all trigonometric function values resulting from any radian angle measures.
Product Targets
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Proficiency Scale
| Score |
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Description |
Sample Activity
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| 4.0 |
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. |
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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 |
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. |
- |
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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 |
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). |
- |
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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 |
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). |
- |
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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. |
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Resources
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MAT-HS.F-TF.03
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MAT-HS Targeted Standards
(F) Concept: Function
(TF) Domain: Trigonometric Functions
Cluster: Extend the domain of trigonometric functions using the unit circle.
MAT-HS.F-TF.03 Use special triangles to det ermine geometrically the values of sine, cosine, tangent for π /3, π /4 and π /6, and use the unit circle to expr ess the values of sine, cosine, and tangent for π-x, π+x, and 2 π-x in terms of their values for x, where x is any real number.
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Student Learning Targets:
Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
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Proficiency Scale
| Score |
|
Description |
Sample Activity
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| 4.0 |
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. |
- |
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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 |
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. |
- |
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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 |
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). |
- |
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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 |
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). |
- |
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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. |
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Resources
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MAT-HS.F-TF.04
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MAT-HS Targeted Standards
(F) Concept: Function
(TF) Domain: Trigonometric Functions
Cluster: Extend the domain of trigonometric functions using the unit circle.
MAT-HS.F-TF.04 Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
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Student Learning Targets:
Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
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Proficiency Scale
| Score |
|
Description |
Sample Activity
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| 4.0 |
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. |
- |
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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 |
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. |
- |
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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 |
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). |
- |
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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 |
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). |
- |
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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. |
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Resources
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MAT-HS.F-TF.05
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MAT-HS Targeted Standards
(F) Concept: Function
(TF) Domain: Trigonometric Functions
Cluster: Model periodic phenomena with trigonometric functions.
MAT-HS.F-TF.05 Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.
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Student Learning Targets:
Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
- I can choose a trigonometric function that models period phenomena given its amplitude, frequency and midline.
Product Targets
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Proficiency Scale
| Score |
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Description |
Sample Activity
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| 4.0 |
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. |
- |
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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 |
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. |
- |
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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 |
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). |
- |
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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 |
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). |
- |
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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. |
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Resources
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MAT-HS.F-TF.06
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MAT-HS Targeted Standards
(F) Concept: Function
(TF) Domain: Trigonometric Functions
Cluster: Model periodic phenomena with trigonometric functions.
MAT-HS.F-TF.06 Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.
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Student Learning Targets:
Knowledge Targets
Reasoning Targets
Skills (Performance) Targets
Product Targets
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Proficiency Scale
| Score |
|
Description |
Sample Activity
|
| 4.0 |
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. |
- |
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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 |
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations. |
- |
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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 |
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content). |
- |
| |
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 |
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). |
- |
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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. |
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Resources
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