top of page

Lessons learned from the 2024 Algebra I STAAR EOC

Writer's picture: Aaron DaffernAaron Daffern

The 2024 Algebra I STAAR EOC continued both statewide online testing and several new item types. Using a modified version of the statewide item analysis report, I examined the readiness standards that had less than 60% mastery. Each standard has both an analysis of the items themselves to infer what made them so difficult and instructional implications for educators to ensure a more successful 2025 STAAR test.

Standard

# of items

% mastery

A.9C

2

39.5

A.6A

2

39.5

A.8A

2

42

A.7C

2

42.5

A.11B

2

45.5

A.5C

2

49

A.3D

2

50

A.5A

2

51

A.2I

2

52.5

A.10E

2

54

A.3B

2

55.5

A.3C

2

56.5

A.2A

2

56.5

 
 

Access the slide deck here.


A.9C - 39.5% overall mastery

write exponential functions in the form f(x) = ab^x (where b is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay


#19 - 59% correct


#43 - 20% correct

Analysis
  • For #19, students could have intuited correct answer without calculating by knowing it was a growth factor (>1) and that the initial position (x=0) wasn’t in the table

  • For #43, the most difficult item on the test, students had to not only interpret equation from real-world scenario but enter it into the equation editor, including ^x

Instructional Implications
  • Have students write equations, not simply select them, to generate analog practice opportunities for the equation editor

 

A.6A - 39.5% overall mastery

determine the domain and range of quadratic functions and represent the domain and range using inequalities


#9 - 34% correct


#32 - 45% correct

Analysis
  • Both items asked for descriptions of inequalities rather than using symbols, consistent with past STAAR items

  • For #9, more students chose B (44% - x-intercepts) than chose the correct answer (34%), confusing domain and range

  • For #32, 23% of students chose A (range) and 24% of students chose B (x-intercepts)

Instructional Implications
  • Ask students to find all three on every quadratic graph (domain, range, x-intercepts) to help promote discrimination

  • Give students range and direction of graph and have them sketch a graph

 

Watch the full walkthrough of all 50 items on the 2024 Algebra I STAAR EOC below.



A.8A - 42% overall mastery

solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula


#18 - 54% correct


#31 - 30% correct

Analysis
  • Students were fairly successful on #18, pretty straightforward

    #31 best solved by dividing both sides by 5 and taking square root of each

  • For #31, 27% of students chose A and 25% of students chose B, indicative of guessing

Instructional Implications
  • Students need extra practice with the less used methods for solving quadratics (i.e., square root)

  • #31 could have been solved by distributing out the expression, making one side equal to zero, and factoring using any method (e.g., quadratic formula)

 

A.7C - 42.5% overall mastery

determine the effects on the graph of the parent function f(x) = x^2 when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d


#21 - 44% correct


#29 - 41% correct

Analysis
  • For #21, 27% of students chose A (didn’t account for the graph narrowing)

  • For #29, 32% of students chose C (positive change on y-axis)

Instructional Implications
  • Horizontal movement is not intuitive f(x) = a(x - h)^2 + k

  • To graph the child function, they would have to square (x + 7.2)

  • Students need practice identifying the roles and constraints of each constant (a, h, and k)

  • Practice describing changes from equations before graphing them to check their answer

 

A.11B - 45.5% overall mastery

simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents


#6 - 39% correct


#33 - 52% correct

Analysis
  • For #6, 25% of students chose A (applied powers only to variables) and 23% of students chose C (multiplied exponents)

  • The confusion for #6 revolved around when and to what extent to apply the power of a power property and when to apply the product of powers property

  • #33 did not include product of powers

Instructional Implications
  • Focus on problems in which students have to apply the product of powers and power of powers for discrimination problems

  • Quotient of powers problems should result in negative exponent for extra rigor, especially in the denominator

 

A.5C - 49% overall mastery

solve systems of two linear equations with two variables for mathematical and real-world problems


#13 - 60% correct


#42 - 38% correct


Analysis
  • For #13, 22% of students chose B (price of a doughnut)

  • The answer to a system of solutions being infinite has only been an answer choice once (2022) but never the correct answer

  • Answer distribution for #42 indicative of guessing (A - 14%, B - 23%, C - 24%)

Instructional Implications
  • Students need a theoretical understanding of infinite solutions

  • Show students multiple methods for recognizing infinite solutions (eliminating everything when subtracting equations, generating equivalent equations, single line when graphed)

 

A.3D - 50% overall mastery

graph the solution set of linear inequalities in two variables on the coordinate plane


#12 - 34% full credit; 15% partial credit; 50% no credit


#41 - 64% correct

Analysis
  • The inequality for #12 was given in slope-intercept form while the inequality for #41 was given in standard form

  • Students struggled much more with the tech-enhanced item than the multiple choice item

  • Getting full credit on the tech-enhanced item required both graphing and clicking “Solution Set” to shade in the correct portion of the graph

Instructional Implications
  • Students should graph inequalities by hand to mimic tech-enhanced items

  • Students would also benefit from a review of the two-part nature of graphing inequalities on Cambium

 

A.5A - 51% overall mastery

solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides


#24 - 61% correct


#46 - 41% correct

Analysis
  • Both problems required the use of the distributive property

  • For #46, the answer distributions for A (17%), B (22%), and C (20%) were similar, hinting at general confusion

  • #24 required students to really think about the use of parentheses

Instructional Implications
  • Focus more on complex equations, like #46

  • Have students use substitution to check their work

 

A.2I - 52.5% overall mastery

write systems of two linear equations given a table of values, a graph, and a verbal description


#26 - 73% correct


#39 - 32% correct

Analysis
  • Students had a much more difficult time writing equations given a table or graph than a verbal description

  • For #39, more students chose B (34%) than chose A

  • Using two different forms (e.g., table and graph) to generate systems of equations has been asked once before (2022 - 59% correct)

Instructional Implications
  • Focus on mixed media for writing systems of linear equations

  • Rather than working with multiple choice problems, use generative items

 

A.10E - 54% overall mastery

factor, if possible, trinomials with real factors in the form ax^2 + bx + c, including perfect square trinomials of degree two


#16 - 68% correct


#37 - 40% correct

Analysis
  • For #16, students could solve without factoring but had to factor for #37

  • For #37, 26% of students chose B (correct factor but sign error)

Instructional Implications
  • When working with students, remove answer choices so that cannot simply use the distributive property to search for the answer

  • Show multiple methods (e.g., factoring, quadratic formula, completing the square) so students have flexibility

 

A.3B - 55.5% overall mastery

calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems


#7 - 43% correct


#30 - 43% full credit; 47% partial credit; 10% no credit

Analysis
  • #7 asked for the rate of change using formal mathematical language, which might have thrown some students off

  • For #7, 30% of students chose B (sign error)

  • Students have much less difficulty with inline choice (#30)

Instructional Implications
  • Reacquaint students with formal language for describing the rate of change

  • Extra practice converting from standard form to slope intercept form, paying close attention to the signs of coefficients

  • Continue opportunities for students to describe the rate of change with words rather than simply with an expression

 

A.3C - 56.5% overall mastery

graph linear functions on the coordinate plane and identify key features, including x- intercept, y- intercept, zeros, and slope, in mathematical and real-world problems


#22 - 35% correct


#50 - 78% correct

Analysis
  • Students have a much easier time identifying key features (#50) than graphing linear functions (#22)

  • Students had to convert the linear function in #22 from standard form to slope-intercept form to graph

  • Slope of #22 is a fraction (not an integer)

Instructional Implications
  • Graph, graph, graph!

  • Spend time converting from standard form to slope-intercept form

 

A.2A - 56.5% overall mastery

determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations, both continuous and discrete; and represent domain and range using inequalities


#23 - 46% correct


#49 - 67% correct

Analysis
  • For #23, almost as many students chose A (38%) as the correct answer (B - 46%)

  • The challenge for #23 was differentiating the domain and range, not in identifying whether they were discrete or continuous

  • Students struggled much less when the data were described graphically (#49)

Instructional Implications
  • Focus on real-world situations (verbal descriptions) in which the domain and range need to calculated

  • Build on prior knowledge of independent and dependent variables

2 views0 comments

Recent Posts

See All
bottom of page