2nd Nine weeks Overview

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Nine Week Overview for Algebra 1

State of Texas Assessments of Academic Readiness (STAAR™)

Performance Level Descriptors

Algebra 1

Mathematical process skills are not assessed in isolation but are incorporated into questions that assess Algebra 1 content. These process skills focus on applying mathematics to solve problems, communicating about mathematics, and using logical reasoning.

Students achieving Level III: Advanced Academic Performance can

• Evaluate the reasonableness of domains and ranges of linear and quadratic functions

• Apply the concept of slope as a rate of change in a variety of situations

• Generate representations of linear, quadratic, and other nonlinear functions

• Make predictions and critical judgments from functional relationships

Students achieving Level II: Satisfactory Academic Performance can

• Determine the domains and ranges of linear and quadratic functions

• Describe the concept of slope as a rate of change and use it to solve problems

• Determine solutions to linear and quadratic equations, linear inequalities, and systems of linear equations using a variety of methods

• Formulate linear and quadratic equations, linear inequalities, and systems of linear equations to solve problems

• Generate representations of linear and quadratic functions

• Analyze the effects of parameter changes on linear and quadratic functional relationships

• Interpret and draw conclusions from functional relationships

Students achieving Level I: Unsatisfactory Academic Performance can

• Identify slopes and y-intercepts of linear functions from tables, graphs, and equations given in slope-intercept form

• Simplify algebraic expressions and solve linear equations

• Formulate equations and systems of equations from simple linear situations

• Identify attributes of a quadratic function from its graph

2012

65%

Overall Performance 70% Passing

District

Category

2013

70%

2012

77%

State

2013 Blueprint Performance Snapshot

1

Functional Relationships

2

Properties and Attributes of

Functions

3

Linear Functions

4

Linear Equations and

Inequalities

5

Quadratics and other Nonlinear

Functions

Number of

Questions

8

12

15

10

9

% Performance

2012 2013

51%

46%

46%

44%

46%

2013

78%

51%

45%

47%

47%

45%

*2015-2016 The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:

A.

Apply mathematics to problems arising in everyday life, society, and the workplace;

B.

Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;

C.

Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and the techniques, including mental math, estimation, and number sense as appropriate, to solve problems;

D.

Communicate mathematical ideas, reasoning, and their symbols, diagrams, graphs, and language as the appropriate;

E.

Create and use representations to organize, record and communicate mathematical ideas;

F.

Analyze mathematical relationships to connect and communicate mathematical ideas; and

G.

Display, explain and justify mathematical ideas and arguments using precise mathematical language in written or oral communication

Pacing

Week 1

Week 2

A.5B

A.6B

A.6E

A.7C

A.2C

A.6A

A.6B

A.6C

TEK

A.2B

A.5C

A.6E

A.6F

A.6G

% Pass

62%

34%

48%

57%

44%

69%

25%

49%

34%

42%

36%

NA

NA

49%

34%

43%

47%

56%

42%

37%

57%

49%

44%

Nine Week Overview for Algebra 1

Nine Week at A-Glance

Description identify mathematical domains and ranges and determine reasonable domain and range values for given situations, both continuous and

discrete use, translate, and make connections among algebraic, tabular, graphical,

or verbal descriptions of linear functions

Vocabulary

Quadrants (1-IV)

Coordinate plane

Ordered Pair

Standard Form Linear Equation

Linear Function x- intercept y-intercept

determine the domain and range for linear functions in given situations interpret the meaning of slope and intercepts in situations using data,

symbolic representations, or graphs determine the intercepts of the graphs of linear functions and zeros of linear functions from graphs, tables, and algebraic representations interpret and determine the reasonableness of solutions to linear

equations and inequalities interpret situations in terms of given graphs or creates situations that fit

given graphs develop the concept of slope as rate of change and determine slopes

from graphs, tables, and algebraic representations interpret the meaning of slope and intercepts in situations using data,

symbolic representations, or graphs investigate, describe, and predict the effects of changes in m and b on the

graph of y = mx + b

Slope

Rate of change

 y

 x

Slope-intercept form

Parallel

Direct Variation

Constant of Variation

Function notation

Family of functions

Parent function determine the intercepts of the graphs of linear functions and zeros of linear functions from graphs, tables, and algebraic representations interpret and predict the effects of changing slope and y-intercept in

applied situations relate direct variation to linear functions and solve problems involving

proportional change

Week 3

A.2A

A.4C

A.2A

A.4C

A.6C

A.6F

A.1C

A.5C

Week 4

A.6D

A.7A

A.1C

A.4C

A.6D

A.6F

A.7A

64%

52%

34%

45%

37%

57%

49%

64%

43%

47%

56%

37%

57%

49%

52%

57%

44%

69%

45%

31%

34%

31%

34%

Nine Week Overview for Algebra 1 identify and sketch the general forms of linear (y = x) and quadratic (y = x 2 ) parent functions

Connect equation notation with function notation, such as y=x + 1 and f(x) = x + 1 identify and sketch the general forms of linear (y = x) and quadratic (y = x 2 ) parent functions

Connect equation notation with function notation, such as y=x + 1 and

f(x) = x + 1 investigate, describe, and predict the effects of changes in m and b on the

graph of y = mx + b y-intercept slope slope-intercept form interpret and predict the effects of changing slope and y-intercept in

applied situations describe functional relationships for given problem situations and write equations or inequalities to answer questions arising from the situations

Use, translate, and make connections among algebraic, tabular, graphical, or verbal descriptions of linear functions graph and write equations of lines given characteristics such as two

points, a point and a slope, or a slope and y-intercept analyze situations involving linear functions and formulate linear

equations or inequalities to solve problems describe functional relationships for given problem situations and write

equations or inequalities to answer questions arising from the situations

Connect equation notation with function notation, such as y=x + 1 and

f(x) = x + 1 graph and write equations of lines given characteristics such as two

points, a point and a slope, or a slope and y-intercept interpret and predict the effects of changing slope and y-intercept in

applied situations y-intercept slope slope-intercept form

Point-slope form

Standard form analyze situations involving linear functions and formulate linear

equations or inequalities to solve problems

A.5A

A.5C

A.1D

Week 5

A.1E

A.6C

A.6D

A.1E

A.2B

A.2D

Week 6

A.5A

A.1B

A.6E

A.7A

46%

51%

62%

34%

48%

67%

34%

NA

57%

44%

69%

76%

60%

49%

46%

51%

43%

47%

56%

45%

NA

32%

42%

64%

Nine Week Overview for Algebra 1 determine whether or not given situations can be represented by linear functions

Use, translate, and make connections among algebraic, tabular,

graphical, or verbal descriptions of linear functions represent relationships among quantities using concrete models, tables, graphs, diagrams, verbal descriptions, equations, and inequalities interpret and make decisions, predictions, and critical judgments from functional relationships investigate, describe, and predict the effects of changes in m and b on the

graph of y = mx + b graph and write equations of lines given characteristics such as two points, a point and a slope, or a slope and y-intercept interpret and make decisions, predictions, and critical judgments from

functional relationships identify mathematical domains and ranges and determine reasonable domain and range values for given situations, both continuous and

discrete collect and organize data, make and interpret scatterplots (including recognizing positive, negative, or no correlation for data approximating linear situations), and model, predict, and make decisions and critical

judgments in problem situations. determine whether or not given situations can be represented by linear functions gather and record data and use data sets to determine functional relationships between quantities determine the intercepts of the graphs of linear functions and zeros of

linear functions from graphs, tables, and algebraic representations analyze situations involving linear functions and formulate linear equations or inequalities to solve problems

Parallel lines

Perpendicular lines

Converse

Scatter plot

Correlation

Line of fit

Positive correlation

Negative correlation

No correlation

Best fitting line

Linear regression

Zero of a function

Inequality

One-Variable Inequalities

Week 7

A.1E

A.8A

A.8B

Week 8

A.8C

A.8A

A.8B

A.7B

A.7C

A.1C

A.1D

Week 9

A.8C

A.8A

A.8B

A.8C

50%

44%

37%

51%

46%

50%

44%

37%

51%

50%

44%

37%

51%

46%

75%

19%

44%

36%

52%

76%

60%

49%

46%

51%

46%

Nine Week Overview for Algebra 1 investigate methods for solving linear equations and inequalities using concrete models, graphs, and the properties of equality, select a method, and solve the equations and inequalities interpret and determine the reasonableness of solutions to linear equations and inequalities describe functional relationships for given problem situations and write equations or inequalities to answer questions arising from the situations represent relationships among quantities using concrete models, tables,

graphs, diagrams, verbal descriptions, equations, and inequalities

Solution of an inequality

Linear inequalities interpret and make decisions, predictions, and critical judgments from functional relationships analyze situations and formulate systems of linear equations in two

unknowns to solve problems solve systems of linear equations using concrete models, graphs, tables,

and algebraic methods

Formulate

System of equations

Solution of a system of linear equations

Inconsistent system

Consistent Dependent system interpret and determine the reasonableness of solutions to systems of

linear equations analyze situations and formulate systems of linear equations in two

unknowns to solve problems solve systems of linear equations using concrete models, graphs, tables,

and algebraic methods

Formulate

System of equations

Solution of a system of linear equations

Inconsistent system

Consistent Dependent system interpret and determine the reasonableness of solutions to systems of

linear equations analyze situations and formulate systems of linear equations in two

unknowns to solve problems solve systems of linear equations using concrete models, graphs, tables,

and algebraic methods

Formulate

System of equations

Solution of a system of linear equations

Inconsistent system

Consistent Dependent system

System of linear inequalities interpret and determine the reasonableness of solutions to systems of

linear equations

A.1D

A.1E

76%

60%

49%

46%

51%

Nine Week Overview for Algebra 1 represent relationships among quantities using concrete models, tables,

graphs, diagrams, verbal descriptions, equations, and inequalities interpret and make decisions, predictions, and critical judgments from

functional relationships

TEKS Deconstruction

Nine Week Overview for Algebra 1

Algebra I Section 4.7 Graph Linear Functions Days 10-11

TEK A.6(F) Interpret and predict the effects of changing slope and y-intercept in applied situations;

Readiness Standard

Effects of changing Slope

Interpret

Effects of changing

Y-intercept

Effects of changing Slope

Predict

Effects of changing

Y-intercept

Nine Week Overview for Algebra 1

A Closer Look at the TEKS: STAAR 2013 Release Items by TEKS

IQ Analysis │ Investigating the Question SE A.6F RC 3

TEK A.6(F) Interpret and predict the effects of changing slope and y-intercept in applied situations;

Analysis A.6F

14. Students at a school will sell hats to raise money. There are some hats left over from last year, and 20 boxes of hats will be ordered this year. When the order arrives, the total number of hats the students will have can be determined using the function f(x) = 48x + 37, where

x represents the number of boxes ordered. If the number of hats per box changes so that the situation is modeled by the function h(x) =

24x + 37, then how many fewer hats will the students have available to sell if they still order 20 boxes?

Record your answer and fill in the bubbles on your answer document.

Type

Data

Process Standard

A/F

%

B/G

C/H

D/J

Units:

Readiness

Error Type

Procedural

Application

Conceptual

Supporting

Guessing

Taught v. Learned Similar to examples (taught)

Requires application (learned)

Question Level

(Depth of

Knowledge)

Level 1

Level 2

Level 3

Level 4

37% Correct (A) Mode is B

What do students need to know to be able to solve this problem?

Nine Week Overview for Algebra 1

A Closer Look at the TEKS: STAAR 2013 Release Items by TEKS

IQ Analysis │ Investigating the Question SE A.6F RC 3

TEK A.6(F) Interpret and predict the effects of changing slope and y-intercept in applied situations;

A.6F Analysis

24. An airplane’s altitude in feet during its descent for landing can be found using the function f(x) = −300x + 30,000, where x represents the horizontal distance in miles from where the plane begins its descent. After new government regulations become law, the airplane’s descent will be modeled by the function

g(x) = −300x + 30,500. Which statement describes this change?

F The airplane starts its descent from an altitude 500 feet higher.

G The airplane starts its descent from an altitude 500 feet lower.

H The airplane descends 500 feet per horizontal mile faster.

J The airplane descends 500 feet per horizontal mile slower.

Units:

Type

Data

Process Standard

A/F

%

B/G

C/H

D/J

Readiness

Error Type

Procedural

Application

Conceptual

Supporting

Guessing

Taught v. Learned Similar to examples (taught)

Requires application (learned)

Question Level

(Depth of

Knowledge)

Level 1

Level 2

Level 3

Level 4

57% answered correctly(H) Mode is F

What do students need to know to be able to solve this problem?

Nine Week Overview for Algebra 1

A Closer Look at the TEKS: STAAR 2013 Release Items by TEKS

IQ Analysis │ Investigating the Question SE A.6F RC 3

TEK A.6(F) Interpret and predict the effects of changing slope and y-intercept in applied situations;

Analysis A.6F

44 The graph below shows the water level in a tank being drained at a constant rate.

If the rate at which the tank is drained is changed to 3 inches per hour and the initial water level stays the same, how would the time it takes to empty the tank be affected?

F It would take 4 fewer hours.

G It would take 1.5 more hours.

H It would take 2 fewer hours.

J It would take 2 more hours.

Type

Data

Process Standard

A/F

%

B/G

C/H

D/J

Units:

Readiness

Error Type

Procedural

Application

Conceptual

Supporting

Guessing

Taught v. Learned Similar to examples (taught)

Requires application (learned)

Question Level

(Depth of

Knowledge)

Level 1

Level 2

Level 3

Level 4

49% answered correctly(H) Mode is J

What do students need to know to be able to solve this problem?

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