WGU C880 Algebra for Secondary Mathematics Teaching
Task 1 |Latest Update with Complete Solution
Kelsi Offerman
Algebra for Secondary Mathematics Teaching – C880
April 14, 2025
Task 1: Assessing Algebra Concepts
A. Analyze..the..attached..“Student..Work..Sample”..and..respond..using..the..attached..“Feedback..Template”..t
o..do..the..following:
1. Demonstrate..how..to..find..the..correct..solution..for..each..problem..in..the..“Student..Work..Samp
le.”..Include..all..work..necessary..to..solve..the..problem.
2. Explain..the..misconceptions..that..led..to..the..error(s)..in..each..problem..in..the..“Student..Work..Sample.”
3. Provide..written..feedback..to..the..student..that..addresses..the..misconception..identified..in..part..A2.
.and..is..specific..for..each..problem,..including..both..positive..and..guiding..comments.
Solution..to..the..P Explanation..o
Question..Number Feedback..for..Student
roblem f..Misconcepti
on
1.. . Solve..for..x 𝑥.. +..5.. =.. −𝑥..+..9 This..student..did..not..co You..did..a..great..job..gettin
𝑥.. +..5.. =.. −𝑥..+..9 𝑥..+..𝑥..=..9..−..5.. mbine..like..terms..correctl g..the..variables..to..one..si
𝑥..+..𝑥. . =.. 9..−..5 2𝑥..=..4 y...They..multiplied..instea de..and..the..constants..on.
𝑥2. . =. . 4 𝑥.. =.. 2 d..of..adding..the..x’s...x+x .the..other...You..combined
𝑥.. =.. ±2 ..should..be..2x,..not..x2. ..the..constants..correctly...
Try..to..remember..that..we
..add..variables..just..like..
we..add..our..constants..(2x
+2x=4x)..and..that..there..
is..a..little
invisible..1..in..front..of..the.
.x..if..there..is..no..coefficie
nt.
2.. . Solve..for..x The..expansion..of..(𝑥..+..4)2 You..did..great..rememberin
(𝑥.. +..4)2. . =.. 36 (𝑥.. +..4)2. . =.. 36 ..was..done..incorrectly...Th g..the..±. . when..you..did..th
𝑥..+..4.. =.. ±6 e..student..should..have..s e..square..root...Be..careful..
𝑥2.. +..16. . =.. 36 𝑥.. =.. −4..±..6 quare..rooted..both..sides.. when..expanding..(𝑥..+..4)2. .
𝑥2. . =. . 20 𝑥.. =.. −10,..−2 or..expanded..(𝑥..+..4)2. . = =..(𝑥..+..4)(𝑥..+..4)...Let’s..go..b
𝑥.. =.. ±√20 𝑥2.. +..8𝑥.. +..16. ack..and..try..a..different..ap
Task 1 |Latest Update with Complete Solution
Kelsi Offerman
Algebra for Secondary Mathematics Teaching – C880
April 14, 2025
Task 1: Assessing Algebra Concepts
A. Analyze..the..attached..“Student..Work..Sample”..and..respond..using..the..attached..“Feedback..Template”..t
o..do..the..following:
1. Demonstrate..how..to..find..the..correct..solution..for..each..problem..in..the..“Student..Work..Samp
le.”..Include..all..work..necessary..to..solve..the..problem.
2. Explain..the..misconceptions..that..led..to..the..error(s)..in..each..problem..in..the..“Student..Work..Sample.”
3. Provide..written..feedback..to..the..student..that..addresses..the..misconception..identified..in..part..A2.
.and..is..specific..for..each..problem,..including..both..positive..and..guiding..comments.
Solution..to..the..P Explanation..o
Question..Number Feedback..for..Student
roblem f..Misconcepti
on
1.. . Solve..for..x 𝑥.. +..5.. =.. −𝑥..+..9 This..student..did..not..co You..did..a..great..job..gettin
𝑥.. +..5.. =.. −𝑥..+..9 𝑥..+..𝑥..=..9..−..5.. mbine..like..terms..correctl g..the..variables..to..one..si
𝑥..+..𝑥. . =.. 9..−..5 2𝑥..=..4 y...They..multiplied..instea de..and..the..constants..on.
𝑥2. . =. . 4 𝑥.. =.. 2 d..of..adding..the..x’s...x+x .the..other...You..combined
𝑥.. =.. ±2 ..should..be..2x,..not..x2. ..the..constants..correctly...
Try..to..remember..that..we
..add..variables..just..like..
we..add..our..constants..(2x
+2x=4x)..and..that..there..
is..a..little
invisible..1..in..front..of..the.
.x..if..there..is..no..coefficie
nt.
2.. . Solve..for..x The..expansion..of..(𝑥..+..4)2 You..did..great..rememberin
(𝑥.. +..4)2. . =.. 36 (𝑥.. +..4)2. . =.. 36 ..was..done..incorrectly...Th g..the..±. . when..you..did..th
𝑥..+..4.. =.. ±6 e..student..should..have..s e..square..root...Be..careful..
𝑥2.. +..16. . =.. 36 𝑥.. =.. −4..±..6 quare..rooted..both..sides.. when..expanding..(𝑥..+..4)2. .
𝑥2. . =. . 20 𝑥.. =.. −10,..−2 or..expanded..(𝑥..+..4)2. . = =..(𝑥..+..4)(𝑥..+..4)...Let’s..go..b
𝑥.. =.. ±√20 𝑥2.. +..8𝑥.. +..16. ack..and..try..a..different..ap
