algebra 1st time

Teaching two topics per lesson for the first 2 lessons is recommended partly because

  • simplify +/- and write in algebra (episodes 1 and 2) go together well, and they are both short
  • inequality and simplify x/÷ (episodes 3 and 4) go together well, and they are both short

... also because it is easy to miss out the second topic for the super-low attaining learners.

Episode 1: simplify +/-

test for JD TESTA.pdf ANSWERS testA_ANSWERS.pdf; harder testAye.pdf, ANSWERS testAyeANSWERS.pdf

FAKE timely practice: easier A1.pdf ANSWERS A1ANSWERS.pdf; harder algebra1.pdf ANSWERS algebra1ANSWERS.pdf

FAKE timely practice FAST easier L11fast.pdf ANSWERS L11fastANSWERS.pdf ;  harder LelevenFast.pdf ANSWERS LelevenFastANSWERS.pdf .

level

lesson topic(s)

description

teach-learn Q

practise-learn resource

easy

hard

a

simplify +/-

simplify e.g. 3a + 5a

simplifySDTL1.pdf

simplifySD1.pdf

y

st

b

simplify +/-

simplify e.g. 5a - 3a or 2x - 6x etc

simplifySDTL2.pdf

simplifySD2.pdf

h

y

c

simplify +/-

simplify e.g. a + a + a + a + a

simplifySDTL3.pdf

simplifySD3.pdf


h

Episode 2: write in algebra

test for JD Test B.pdf ANSWERS testB_ANSWERS.pdf; harder testBee.pdf ANSWERS testBeeANSWERS.pdf

FAKE timely practice: easier A2.pdf ANSWERS A2ANSWERS.pdf; harder algebra2.pdf ANSWERS A1ANSWERS.pdf

FAKE timely practice FAST easier L12fast.pdf ANSWERS L12fastANSWERS.pdf; harder LtwelveFast.pdf ANSWERS LtwelveFastANSWERS.pdf.

level

lesson topic(s)

description

teach-learn Q

practise-learn resource

easy

hard

a

write in algebra

scaffolded word to algebra e.g. a + b + c

write algebra

write algebra

h

y

b

write in algebra

word to algebra expression e.g. a + b

writeAlgebra2.pdf


h


Episode 3: inequality

FAKE timely practice: easier A3.pdf ANSWERS A3ANSWERS.pdf; harder algebra3.pdf, ANSWERS algebra3ANSWERS.pdf

level

lesson topic(s)

description

teach-learn Q

practise-learn resource

easy

hard

a

inequality

list values from diagram e.g. -3 ≤ k ≤ 5

inequalityTL1.pdf

inequality1.pdf

y

y

b

inequality

list values from diagram e.g. -3 ≤ k < 5

inequalityTL2.pdf

inequality2.pdf


h

Episode 4: simplify x/÷

FAKE timely practice: easier A4.pdf ANSWERS A4ANSWERS.pdf; harder algebra4.pdf ANSWERS algebra4ANSWERS.pdf

FAST easier  A4fast.pdf, ANSWERS A4fastANSWERS.pdf, harder (but excluding hardest) algebra4fast.pdf, ANSWERS algebra4fastANSWERS.pdf,

FAST hardest (2nd half of harder) algebra4fastHARDER.pdf, ANSWERS algebra4fastHarderANSWERS.pdf

level

lesson topic(s)

description

teach-learn Q

practise-learn resource

easy

hard

a

simplify x/÷

simplify e.g. 3 x h (always in correct order)

simplifyPQTL1.pdf

simplifyPQ1.pdf

y

y

b

simplify x/÷

simplify e.g. h x 3 or h x h (scaffolded)

simplifyPQTL2.pdf

simplifyPQ2.pdf


y

csimplify x/÷simplify e.g. h x h x h x h x h **simplifyPQTL4.pdfsimplifyPQ4.pdf
h

** FYI  this didn't embed well learners muddled simplifySD3.pdf with simplifyPQ4.pdf suggest sticking to layers 1 and 2

Episode 5: value of: algebra

level

lesson topic(s)

description

teach-learn Q

practise-learn resource

easy

hard

a

value of

work out value of e.g. 3p given p = 10, diagram & example

value algebra

value algebra

h

y

b

value of

work out value of e.g. 3p given p = 20, diagram (no example a little harder multiply)

value algebra

value algebra


y


Episode 6: solve

FAKE timely practice FAST easier A6fast.pdf, harder AsixFast.pdf

leveltopicdescriptionteach-learn Qpractise-learn resourceeasyhard

a

solve

e.g. box + 7 = 10

10bond3.pdf and 10bond4.pdf 

10bond5.pdf **

y

st

b

solve

given input & 1 stage

numberMachineTL6.pdf

numberMachine6.pdf

h


c

solve

given input & 2 stage

numberMachineTL8.pdf

numberMachine8.pdf

h

st

d

solve

2 stage in reverse

numberMachineTL10.pdf

numberMachine10.pdf


y

e

solve

e.g. a + 12 = 21

solveTL1.pdf

solve1.pdf


y

fsolvee.g. 4a = 48 or c/3 = 9solveTL2.pdfsolve2.pdf
h

** FYI the 10 bond layers have been updated to include showing the boxes method - however the retrieval practice questions don't show the boxes method - teacher may have to draw on the boxes for a few lessons until the learner gets it



Episode 7: sequence arithmetic

FAKE timely practice FAST easier A7fast.pdf, harder AsevenFast.pdf

leveltopicdescriptionteach-learn Qpractise-learn resourceeasyhard

a

sequence Arithmetic

given term to term find next (scaffold)

sequenceArithmeticTL1.pdf

sequenceArithmetic1.pdf

st


b

sequence Arithmetic

find term to term rule and next term (scaffold)

this has been retired

this has been retired



c

sequence Arithmetic

find term to term rule and next term (scaffold)

sequenceArithmeticTL2.pdf

sequenceArithmetic2.pdf

y

st

d

sequence Arithmetic

find next 2 terms from “matchstick” pictures

sequenceArithmeticTL6.pdf

sequenceArithmetic6.pdf


y

e

sequence Arithmetic

find e.g. 10th /12th term

sequenceArithmeticTL10.pdf

sequenceArithmetic10.pdf


h

Episode 8: algebra graph

FAKE timely practice FAST easierA8fast.pdf, harder AeightFast.pdf

test for TS Test B.pdf ANSWERS testB_ANSWERS.pdf; harder testBee.pdf ANSWERS testBeeANSWERS.pdf

leveltopicdescriptionteach-learn Qpractise-learn resourceeasyhard

a

algebra graph

given plotted points draw the line and try to fill in last coordinate in the table (very supported)

algebraGraphTL2.pdf

algebraGraph2.pdf

y

st

b

algebra graph

plot several points (supported, to ignore the hard to plot points) easy scale

algebraGraphTL3.pdf

algebraGraph3.pdf

h

y

c

algebra graph

continue pattern, in table of values, draw y = c, x = c, y = x and  x + y = c

algebraGraphTL4.pdf

algebraGraph4.pdf


h

Alternatively use auto pre assess to review algebra 

Teach time + review algebra

FAKE timely practice FAST easier reviewAlgebra1.pdf, harder revALGone.pdf

Teach time + algebra test 1 

This should be the penultimate lesson - if necessary set this test in the last lesson

FAKE timely practice FAST easier ALGtest1.pdf, harder ALGtestONE.pdf

Teach time + algebra test 2 and 2nd G+M test

This should be the last lesson - if necessary join this with the lesson above.

FAKE timely practice FAST easier ALGtest2.pdf, harder ALGtestTWO.pdf

test for TS TESTA.pdf ANSWERS testA_ANSWERS.pdf; harder testAye.pdf, ANSWERS testAyeANSWERS.pdf

End of unit review

easiest: Y7AR.pdf and the answers Y7ARanswers.pdf

easy: Y7algebraReview.pdf and the answers Y7algebraReviewANSWERS.pdf

harder: YsevenAR.pdf and the answers YsevenARanswers.pdf

Next up number continued 2022