ProposalforMathinCambridgeUpperSchools
•‹†‡–‹ˆ‹‡†„›‘—”–‡ƒ…Š‡”•ǡ•–—†‡–•ǡƒ†–Š‡ƒ„”‹†‰‡…‘—‹–›ǡ’”‹‘”‹–›‡‡†•–‘„‡’—–‘
•—’’‘”–‹‰•–—†‡–•ƒ––Š‡‹”Ž‡˜‡Ž‹‘—”‡™’’‡”ƒ’—•‡•Ǥƒ–Šǡ–Š‹•‡ƒ•‡‡–‹‰–Š‡
ƒ…ƒ†‡‹…‡‡†•‘ˆƒ•–—†‡–’‘’—Žƒ–‹‘™Š‘•‡–ƒŽ‡–•ˆ‹–™‹–Š‹ƒ™‹†‡•’‡…–”—Ǥ
—””‡–Ž›ǡ‘—”‹††Ž‡•…Š‘‘Ž’”‘‰”ƒ’”‹ƒ”‹Ž›’Žƒ…‡••–—†‡–•‹Š‡–‡”‘‰‡‡‘—•ƒ–Š…Žƒ••”‘‘•Ǥ
‡ƒ…Š‡”•‡‡––Š‡™‹†‡”ƒ‰‡‘ˆ•–—†‡–ƒ…ƒ†‡‹…‡‡†•‹—Ž–‹’Ž‡™ƒ›•ǤŽ–Š‘—‰Š‘—”–‡ƒ…Š‡”•
Šƒ˜‡„‡‡•—……‡••ˆ—Ž™‹–Š‹–Š‹•‘†‡Žǡƒ›–‡ƒ…Š‡”•Šƒ˜‡‡š’”‡••‡†ƒ‡‡†–‘’Žƒ…‡•–”—…–—”‡•‹
‘—”’”‘‰”ƒ–‘„‡––‡”•—’’‘”–ƒŽŽ•–—†‡–•‹‡ƒ…Š…Žƒ••”‘‘Ǥ
•ƒ”‡•—Ž–ǡ–Š‡ˆ‘ŽŽ‘™‹‰’”‘’‘•ƒŽ…ƒŽŽ•ˆ‘”–Š‡‹…”‡ƒ•‹‰‹…‘”’‘”ƒ–‹‰‘ˆˆŽ‡š‹„Ž‡‰”‘—’‹‰‹–‘
‹††Ž‡•…Š‘‘Žƒ–Š…Žƒ••”‘‘•ǡ™‹–Š–Š‡‰‘ƒŽ‘ˆ…‘’Ž‡–‹‰ƒŽ‰‡„”ƒͳ…‘—”•‡‹ͺ–Š‰”ƒ†‡Ǥ
Grade8
Grade7
7FlexiblyGroupedUnits
4FlexiblyGroupedUnits
Grade6
”ƒ†‡ͺŽ‰‡„”ƒͳ
ExtendedMathBlock
ƒ–‹‘•ƒ†”‘’‘”–‹‘•
—…–‹‘•
—…–‹‘•
ȋͳ—‹–Ȍ
”ƒ†‡͸ƒ–Š
—„‡”•
—„‡”•
š’‘‡–•
š’‘‡–•
”ƒ†‡͹
”ƒ†‡ͺ
š–‡•‹‘Ž‘…
ƒ–Š
ƒ–Š
ƒ–ƒ
ƒ–ƒ
ȋͶ—‹–•Ȍ
ȋͶ—‹–•Ȍ
š–‡•‹‘
š–‡•‹‘
“—ƒ–‹‘•
“—ƒ–‹‘•
—’’‘”–
ŠƒŽŽ‡‰‡
›•–‡•
›•–‡•
‡‘‡–”›Ƭ”‘„ƒ„‹Ž‹–›
ȋ͵—‹–•Ȍ
—ƒ†”ƒ–‹…•
‹‹Žƒ”‹–›
Ž‰‡„”ƒͳ‘‘”•
Ž‰‡„”ƒͳ
or
‡‘‡–”›
ȋ‘ŽŽ‡‰‡”‡’‘”
‘‘”•
‘‘”•Ȍ
DetailsoftheProposal:
Grade6
ŽŽ•–—†‡–•‡–‡”‹‰–Š‡’’‡”ƒ’—•‹
”ƒ†‡͸™‹ŽŽ„‡‡”‘ŽŽ‡†‹ƒ‘Ǧ‰”ƒ†‡Ž‡˜‡Ž
”ƒ†‡͸
…Žƒ••ǤŠ‹•‘†‡Ž‹•”‡…‘‡†‡†ˆ‘”–™‘”‡ƒ•‘•Ǥ‹”•–ǡƒ••–—†‡–•™‹ŽŽ„‡ƒ””‹˜‹‰ƒ–‡ƒ…Š’’‡”
ƒ’—•ǡ‡š…‡’–ˆ‘”–Š‡‹‰‘•ǡˆ”‘–Š”‡‡†‹ˆˆ‡”‡–ˆ‡‡†‡”•…Š‘‘Ž•ǡ–Š‹•‘†‡Ž™‹ŽŽƒŽŽ‘™‡ƒ…Š
’’‡”ƒ’—•–‘†‡˜‡Ž‘’ƒ͸–Š‰”ƒ†‡…‘—‹–›ǡ…”‡ƒ–‹‰ƒ•‘‘–Š‡”–”ƒ•‹–‹‘ˆ‘”‡ƒ…Š•–—†‡–
ˆ”‘–Š‡‹”‡Ž‡‡–ƒ”›•…Š‘‘ŽǤ‡…‘†ǡ–Š‡
”ƒ†‡͸”ƒ•‹–‹‘ƒŽ”‘‰”ƒǡƒ•‹†‡–‹ˆ‹‡†‹‘˜ƒ–‹‘
‰‡†ƒ—’†ƒ–‡•ǡ™‹ŽŽ‹…Ž—†‡‡š–‡†‡†…Žƒ••’‡”‹‘†•ˆ‘”͸–Š‰”ƒ†‡ƒ–Š…Žƒ••‡•ǤŠ‹•‡š–‡†‡†–‹‡
™‹ŽŽŠ‡Ž’–‡ƒ…Š‡”•ˆ—ŽŽ›‡‡––Š‡•—’’‘”–ƒ†…ŠƒŽŽ‡‰‡…‘–‡–‡‡†•‘ˆ–Š‡‹”•–—†‡–•ǡ™Š‹Ž‡•–‹ŽŽ
ˆ‘…—•‹‰‘–Š‡‡‘–‹‘ƒŽƒ†•‘…‹ƒŽ‡‡†•‘ˆ•–—†‡–•ǤŠƒŽŽ‡‰‡…‘–‡–™‹ŽŽˆ‘…—•‘
‘’’‘”–—‹–‹‡•ǡ’”‘„Ž‡•‘Ž˜‹‰ǡƒ†Ž‘‰‹…’”‘„Ž‡•ǡƒ•™‡ŽŽƒ•”‡Žƒ–‡†͹–Š‰”ƒ†‡ƒ–‡”‹ƒŽˆ‘”‡ƒ…Š͸–Š
‰”ƒ†‡—‹–Ǥ
Grade7and8FlexibleGroupingModel
Ž–Š‘—‰Š–Š‹•‘†‡ŽŠ‡Ž’•‡‡–•–—†‡–…‘–‡–‡‡†•‹͸–Š‰”ƒ†‡ǡ–‡ƒ…Š‡”•Šƒ˜‡‹†‡–‹ˆ‹‡†‘”‡‹•
‡‡†‡†ˆ‘”‡‡–‹‰–Š‡‡‡†•‘ˆ‘—”͹–Šƒ†ͺ–Š‰”ƒ†‡•–—†‡–•Ǥ
ͳ
ProposalforMathinCambridgeUpperSchools
Grade7
͹–Š‰”ƒ†‡ǡ•–—†‡–•™‹ŽŽŠƒ˜‡–Š‡‘’’‘”–—‹–›–‘…‘’Ž‡–‡Ͷ—‹–•‘ˆͺ–Š‰”ƒ†‡ƒ–‡”‹ƒŽ™‹–Š‹–Š‡
›‡ƒ”Ǥ––Š‡•–ƒ”–‘ˆ–Š‡›‡ƒ”ǡ•–—†‡–•™‹ŽŽ‡‡–‹Š‡–‡”‘‰‡‡‘—•‰”‘—’‹‰•–‘…‘’Ž‡–‡™‘”‹
ƒ–‹‘•ƒ†”‘’‘”–‹‘•Ǥ‘”–Š‡‡š–Ͷ—‹–•ǡ•–—†‡–•™‹ŽŽ‡‡–‹Š‘‘‰‡‡‘—•‰”‘—’‹‰•ǤŠ‡•‡
‰”‘—’‹‰•™‹ŽŽ„‡†‡–‡”‹‡†—‹–Ǧ„›Ǧ—‹–„ƒ•‡†‘–Š‡”‡•—Ž–•‘ˆƒ’”‡Ǧƒ••‡••‡–ˆ‘”‡ƒ…Š—‹–Ǥ
–—†‡–••…‘”‹‰ͺͲΨ‘”Š‹‰Š‡”™‹ŽŽ„‡ƒ„Ž‡–‘…‘’Ž‡–‡”‡Žƒ–‡†ͺ–Š‰”ƒ†‡…‘–‡–ˆ‘”–Šƒ–•’‡…‹ˆ‹…
—‹–Ǥ–—†‡–•‘–•…‘”‹‰ͺͲΨ™‹ŽŽ™‘”‘͹–Š‰”ƒ†‡ƒ–‡”‹ƒŽǤˆ–‡”–Š‡Ͷ—‹–•ǡ•–—†‡–•™‹ŽŽ‡‡–
„ƒ…‹Š‡–‡”‘‰‡‡‘—•‰”‘—’•–‘…‘’Ž‡–‡͵—‹–•‘ˆ͹–Š‰”ƒ†‡ƒ–‡”‹ƒŽ‘
‡‘‡–”›ȋ™Š‹…Š™‹ŽŽ
…‘–ƒ‹͹–Šƒ†ͺ–Š‰”ƒ†‡ƒ–‡”‹ƒŽ–ƒ—‰Š––‘ƒŽŽ•–—†‡–•Ȍƒ†”‘„ƒ„‹Ž‹–›ȋ™Š‹…Š‹•—…Š‘”‡
”‘„—•–‹–Š‡‡™ˆ”ƒ‡™‘”ƒ†‘ˆˆ‡”•…ŠƒŽŽ‡‰‡–‘ƒŽŽ•–—†‡–•ȌǤ
ˆ–‡”–Š‡‹”͹–Š‰”ƒ†‡›‡ƒ”ǡ•–—†‡–•™‹ŽŽŠƒ˜‡–Š‡‘’’‘”–—‹–›–‘–ƒ‡•—‡”•…Š‘‘Ž…‘—”•‡•Ǥ
‘†—Ž‡•‘ˆ‹•–”—…–‹‘™‹ŽŽ„‡…”‡ƒ–‡†–‘•—’’‘”–•–”—‰‰Ž‹‰•–—†‡–•ƒ†•–—†‡–•™ƒ–‹‰ƒ‘–Š‡”
‘’’‘”–—‹–›–‘‡‰ƒ‰‡‹ͺ–Š‰”ƒ†‡ƒ–‡”‹ƒŽ‘–…‘’Ž‡–‡††—”‹‰–Š‡›‡ƒ”Ǥ
Grade8
ͺ–Š‰”ƒ†‡ǡ•–—†‡–•™‹ŽŽŠƒ˜‡–Š‡‘’’‘”–—‹–›–‘…‘’Ž‡–‡ͺ—‹–•‘ˆŽ‰‡„”ƒͳƒ–‡”‹ƒŽ™‹–Š‹–Š‡
›‡ƒ”Ǥ––Š‡•–ƒ”–‘ˆ–Š‡›‡ƒ”ǡ•–—†‡–•™‹ŽŽ‡‡–‹Š‘‘‰‡‡‘—•‰”‘—’‹‰•ǡ™Š‹…Š™‹ŽŽ„‡
†‡–‡”‹‡†—‹–Ǧ„›Ǧ—‹–ǡ„ƒ•‡†‘–Š‡”‡•—Ž–•‘ˆƒ’”‡Ǧƒ••‡••‡–ˆ‘”‡ƒ…Š—‹–Ǥ–—†‡–••…‘”‹‰
ͺͲΨ‘”Š‹‰Š‡”™‹ŽŽ„‡ƒ„Ž‡–‘…‘’Ž‡–‡”‡Žƒ–‡†Ž‰‡„”ƒͳ…‘–‡–ˆ‘”–Šƒ–•’‡…‹ˆ‹…—‹–Ǥ–—†‡–•‘–
•…‘”‹‰ͺͲΨ™‹ŽŽ™‘”‘ͺ–Š‰”ƒ†‡ƒ–‡”‹ƒŽǤ
ˆ–‡”–Š‡‹”ͺ–Š‰”ƒ†‡›‡ƒ”ǡ•–—†‡–•™‹ŽŽŠƒ˜‡–Š‡‘’’‘”–—‹–›–‘–ƒ‡•—‡”•…Š‘‘Ž…‘—”•‡•Ǥ
‘†—Ž‡•‘ˆ‹•–”—…–‹‘™‹ŽŽ„‡…”‡ƒ–‡†–‘•—’’‘”–•–”—‰‰Ž‹‰•–—†‡–•ƒ†•–—†‡–•™ƒ–‹‰ƒ‘–Š‡”
‘’’‘”–—‹–›–‘‡‰ƒ‰‡‹Ž‰‡„”ƒͳƒ–‡”‹ƒŽ‘–…‘’Ž‡–‡††—”‹‰–Š‡›‡ƒ”Ǥ
–—†‡–•™‹ŽŽ„‡”‡…‘‡†‡†ˆ‘”’Žƒ…‡‡–‹‡‹–Š‡”Ž‰‡„”ƒͳȋ‘ŽŽ‡‰‡”‡’Ž‡˜‡Ž‘”‘‘”•
Ž‡˜‡ŽȌ‘”
‡‘‡–”›ȋ‘‘”•Ž‡˜‡Ž‘Ž›Ȍ‹
”ƒ†‡ͻǤŽŽ•–—†‡–•…ƒƒ’’Ž›–‘–ƒ‡ƒƒ••‡••‡––‘
†‡–‡”‹‡–Š‡‹”ƒ•–‡”›‘ˆŽ‰‡„”ƒͳ…‘–‡–„‡ˆ‘”‡–Š‡‡’–‡„‡”‘ˆ–Š‡‹”ͻ–Š‰”ƒ†‡›‡ƒ”Ǥ–—†‡–•
•…‘”‹‰ͺͲΨ‘”Š‹‰Š‡”™‹ŽŽ„‡’Žƒ…‡†‹
‡‘‡–”›‘‘”•ȋͳͲ–Š‰”ƒ†‡ƒ–ŠȌǡ„›’ƒ••‹‰Ž‰‡„”ƒͳ
ȋͻ–Š‰”ƒ†‡ƒ–ŠȌ‹Š‹‰Š•…Š‘‘ŽǤ
SpecialEducation

”ƒ†‡͸ǡ‹†‡–‹ˆ‹‡†•–—†‡–•–Šƒ–ƒ›‡‡†•—’’‘”–‹ƒ–Š™‹ŽŽ”‡…‡‹˜‡–Š‡‹”•‡”˜‹…‡•‹–Š‡
”ƒ†‡͸ƒ–Š„Ž‘…ƒ†‹–Š‡š–‡•‹‘Ž‘…Ǥ—”‹‰–Š‡š–‡•‹‘Ž‘…ǡƒ‰‡‡”ƒŽ‡†—…ƒ–‹‘
–‡ƒ…Š‡”ƒ†ƒ•’‡…‹ƒŽ‡†—…ƒ–‹‘–‡ƒ…Š‡”™‹ŽŽ™‘”–‘‰‡–Š‡”–‘‹–”‘†—…‡ƒŽ‡••‘–‘–Š‡™Š‘Ž‡‰”‘—’Ǥ
—”‹‰–Šƒ–„Ž‘…ǡ–Š‡•’‡…‹ƒŽ‡†—…ƒ–‹‘–‡ƒ…Š‡”™‹ŽŽ™‘”™‹–Š‹†‡–‹ˆ‹‡†•–—†‡–•–‘ƒ††”‡••‡ƒ…Š
•–—†‡–ǯ•‰‘ƒŽ•ǤŠ‡–™‘–‡ƒ…Š‡”•™‹ŽŽ„‡‰‹˜‡…‘‘…‘ŽŽƒ„‘”ƒ–‹‘–‹‡–‘’Žƒ–Š‡•‡
‘’’‘”–—‹–‹‡•Ǥ

”ƒ†‡͹ƒ†ͺǡ‹†‡–‹ˆ‹‡†•–—†‡–•™‹ŽŽ”‡…‡‹˜‡–Š‡‹”•‡”˜‹…‡•™‹–Š‹–Š‡‹”ƒ–Š…Žƒ••”‘‘ǤŠ‡
•’‡…‹ƒŽ‡†—…ƒ–‹‘–‡ƒ…Š‡”™‹ŽŽ„‡‰‹˜‡…‘‘’Žƒ‹‰–‹‡–‘…‘ŽŽƒ„‘”ƒ–‡™‹–Š–Š‡
”ƒ†‡͹ƒ†ͺ
”‡‰—Žƒ”‡†—…ƒ–‹‘–‡ƒ…Š‡”–‘‡•—”‡–Šƒ––Š‡”‡“—‹”‡‡–•‘ˆ‡ƒ…Š•–—†‡–ǯ•‹•‡–Ǥ
ʹ
ProposalforMathinCambridgeUpperSchools
Staffing
ƒ…Š’’‡”ƒ’—•™‹ŽŽ„‡ƒŽŽ‘––‡†͵ƒ–Š–‡ƒ…Š‡”•Ǥƒ…Š–‡ƒ…Š‡”™‹ŽŽ„‡‡š’‡…–‡†–‘–‡ƒ…Š
ƒ’’”‘š‹ƒ–‡Ž›Ͷ„Ž‘…•‘ˆƒ–Š‡ƒ…Š†ƒ›Ǥ
x ‡–‡ƒ…Š‡”™‹ŽŽ„‡”‡•’‘•‹„Ž‡ˆ‘”͸–Š‰”ƒ†‡ƒ–ŠǤŠ‡›™‹ŽŽ„‡‹…Šƒ”‰‡‘ˆ‹•–”—…–‹‘ˆ‘”
–Š‡
”ƒ†‡͸ƒ–Š…Žƒ••‡•ǡƒ•™‡ŽŽƒ•’Žƒ‹‰ƒ†…‘ŽŽƒ„‘”ƒ–‹‘ˆ‘”–Š‡š–‡•‹‘Ž‘…ǤŠ‡›
ƒ›‘”ƒ›‘–„‡‹…Šƒ”‰‡‘ˆ‹•–”—…–‹‘‘ˆ–Š‡•‡…Žƒ••‡•Ǥ
x ‡–‡ƒ…Š‡”™‹ŽŽ„‡”‡•’‘•‹„Ž‡ˆ‘”
”ƒ†‡͹ƒ†ͺƒ–ŠǤ‘”–Š‡‹”
”ƒ†‡͹ƒ••‹‰‡–ǡ–Š‡›
™‹ŽŽ–‡ƒ…Š–Š‡
”ƒ†‡͹…Žƒ••–Šƒ–‹…Ž—†‡•™‹–ŠͶ—‹–•‘ˆ
”ƒ†‡ͺ…‘–‡–Ǥ‘”–Š‡‹”
”ƒ†‡ͺ
ƒ••‹‰‡–ǡ–Š‡›™‹ŽŽ–‡ƒ…Š–Š‡ˆ—ŽŽ
”ƒ†‡ͺƒ–Š…Žƒ••Ǥ
x ‡–‡ƒ…Š‡”™‹ŽŽ„‡”‡•’‘•‹„Ž‡ˆ‘”
”ƒ†‡͹ƒ–Šƒ†Ž‰‡„”ƒͳǤ‘”–Š‡‹”
”ƒ†‡͹
ƒ••‹‰‡–ǡ–Š‡›™‹ŽŽ–‡ƒ…Š–Š‡ˆ—ŽŽ
”ƒ†‡͹ƒ–Š…Žƒ••Ǥ‘”–Š‡‹”Ž‰‡„”ƒͳƒ••‹‰‡–ǡ–Š‡›
™‹ŽŽ–‡ƒ…Š–Š‡Ž‰‡„”ƒͳ…‘–‡––‘ͺ–Š‰”ƒ†‡”•Ǥ
Block
Grade6
MathTeacher
Grade7and8
MathTeacher
Grade7Mathand
AlgebraITeacher
1
”ƒ†‡͸ƒ–Š
”ƒ†‡͹
ȋ™‹–ŠͶ—‹–•‘ˆ
”ƒ†‡ͺȌ
”ƒ†‡͹ƒ–Š
2
”ƒ†‡͸ƒ–Š
”ƒ†‡͹
ȋ™‹–ŠͶ—‹–•‘ˆ
”ƒ†‡ͺȌ
”ƒ†‡͹ƒ–Š
3
”ƒ†‡͸ƒ–Š
”ƒ†‡ͺƒ–Š
Ž‰‡„”ƒͳ
4
”ƒ†‡͸ƒ–Š
”ƒ†‡ͺƒ–Š
Ž‰‡„”ƒͳ
GeneralNotesAboutThisProposal:
x Š‹•’”‘’‘•ƒŽǡ‘”ƒ›‘†‹ˆ‹…ƒ–‹‘‘ˆ–Š‹•’”‘’‘•ƒŽǡ•Š‘—Ž†ƒ’’Ž›–‘’”‘‰”ƒ‹‰ƒ–ƒŽŽˆ‘—”
’’‡”ƒ’—•‡•ƒ†–Š‡‹‰‘•…Š‘‘ŽǤ
x ••–—†‡–•…‘’Ž‡–‡‡ƒ…Š…‘—”•‡ǡ™Š‡–Š‡”–Š‡›…‘’Ž‡–‡ƒ•—‡”’”‘‰”ƒ‘”‘–ǡ–Š‡›™‹ŽŽ
„‡”‡“—‹”‡†–‘…‘’Ž‡–‡ƒ•—‡”ƒ–Š’ƒ…‡–ƒ––Š‡‡†‘ˆͷ–Šǡ͸–Šǡ͹–Šǡƒ†ͺ–Š‰”ƒ†‡•ǤŠ‹•
’ƒ…‡–™‹ŽŽ…‘–ƒ‹™‘”–Šƒ–•–—†‡–•—•–•–—†›ƒ†…‘’Ž‡–‡‘˜‡”–Š‡•—‡”ƒ†•—„‹––‘
–Š‡‹”–‡ƒ…Š‡”‹‡’–‡„‡”ǤŠ‹•™‘”™‹ŽŽ’”‡’ƒ”‡•–—†‡–•ˆ‘”–Š‡”‹‰‘”‘ˆ–Š‡‡š–›‡ƒ”ǯ•
…‘—”•‡ǡƒ•™‡ŽŽƒ•Š‡Ž’–‡ƒ…Š‡”•‹†‡–‹ˆ›–Š‡…ŠƒŽŽ‡‰‡•ƒ†•–”‡‰–Š•‘ˆ–Š‡‹”‹…‘‹‰•–—†‡–•Ǥ
x —”‹‰–Š‡›‡ƒ”ǡ•—’’‘”–•™‹ŽŽ„‡…”‡ƒ–‡†‹–Š‡ˆ‘”‘ˆƒˆ–‡”•…Š‘‘Ž’”‘‰”ƒ•ǡƒ†’‘••‹„Ž›
ƒ–—”†ƒ›’”‘‰”ƒ•ǡ–‘…‘–‹—‡–‘‡‡––Š‡…ŠƒŽŽ‡‰‡•ƒ†•–”‡‰–Š•‘ˆ‡ƒ…Š•–—†‡–ǤŠ‹•
•—’’‘”–™‹ŽŽ„‡‘ˆˆ‡”‡†‹ƒ††‹–‹‘–‘–Š‡…Žƒ••”‘‘‹•–”—…–‹‘ǤŠ‡•‡•—’’‘”–•™‹ŽŽ„‡
†‡–‡”‹‡†„›–Š‡‹††Ž‡•…Š‘‘Ž•–ƒˆˆ‹–Š‡ʹͲͳͳǦʹͲͳʹ•…Š‘‘Ž›‡ƒ”ǡ„—–…‘—Ž†‹…Ž—†‡
•—’’‘”–…Žƒ••‡•ǡƒ–ŠŽ›’‹ƒ†‡‡–‹‰•ǡƒ†™‘”‘ȋ…‹‡…‡ǡ‡…Š‘Ž‘‰›ǡ
‰‹‡‡”‹‰ǡƒ†ƒ–Š‡ƒ–‹…•Ȍ’”‘Œ‡…–•ǡˆ‘…—•‹‰‘…ƒ”‡‡”Ǧ‘”‹‡–‡†‹–‡”†‹•…‹’Ž‹ƒ”›™‘”
™‹–Š…‹‡…‡–‡ƒ…Š‡”•Ǥ
͵
ProposalforMathinCambridgeUpperSchools
Grade7FlexibleGroupingsModel
Unit1:
VariablesandPatterns(IntroducingAlgebra)
CoreContent
RatiosandProportions
͹ǤǤʹ
Unit2:
Core:–”‡–…Š‹‰ƒ†Š”‹‹‰ȋ†‡”•–ƒ†‹‰‹‹Žƒ”‹–›Ȍ
Enrichment:ƒŽ‡‹†‘•…‘’‡•ǡ—„…ƒ’•ǡƒ†‹””‘”•ȋ›‡–”›ƒ†”ƒ•ˆ‘”ƒ–‹‘•Ȍ
CoreContent
EnrichmentContent
Similarity(TrianglesandScaleDrawings)
Similarity
andAngleMeasures
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ǤͳǡͺǤ
ǤʹǡͺǤ
Ǥ͵ǡͺǤ
ǤͶǡͺǤ
Ǥͷ
͹Ǥ
Ǥͳǡ͹Ǥ
Ǥʹǡ͹Ǥ
Ǥͷ
Unit3:
Core:‘’ƒ”‹‰ƒ†…ƒŽ‹‰ȋƒ–‹‘ǡ”‘’‘”–‹‘ǡƒ†‡”…‡–Ȍ
Enrichment:Š‹‹‰‹–Šƒ–Š‡ƒ–‹…ƒŽ‘†‡Ž•ȋ‹‡ƒ”ƒ†˜‡”•‡ƒ”‹ƒ–‹‘•Ȍ
CoreContent
EnrichmentContent
AnalyzeProportionalRelationships
ComparingProportionalRelationshipswith
͹ǤǤͳǡ͹ǤǤ͵
LinesandLinearEquations
ͺǤǤͷǡͺǤǤ͸
Unit4:
Core:……‡–—ƒ–‡–Š‡‡‰ƒ–‹˜‡ȋ–‡‰‡”•ƒ†ƒ–‹‘ƒŽ—„‡”•Ȍ
Enrichment:ʹͺ–Š
”ƒ†‡‘‘‘”‡—’’Ž‡‡–•
CoreContent
EnrichmentContent
OperationsonRationalNumbers
RationalandIrrationalNumbers
͹ǤǤͳǡ͹ǤǤʹǡ͹ǤǤ͵
ͺǤǤͳǡͺǤǤʹ
ExponentsandRoots
ͺǤǤͳǡͺǤǤʹ
ScientificNotation
ͺǤǤ͵ǡͺǤǤͶ
Unit5:
Core:‘˜‹‰–”ƒ‹‰Š–Š‡ƒ†ȋ‹‡ƒ”‡Žƒ–‹‘•Š‹’•Ȍ
Enrichment:ƒ›–‹–Š›„‘Ž•ȋƒ‹‰‡•‡‘ˆ›„‘Ž•Ȍ
CoreContent
EnrichmentContent
GenerateEquivalentExpressionsandSolve
SolvingLinearEquations
WordProblems
ͺǤǤ͹
͹ǤǤͳǡ͹ǤǤʹǡ͹ǤǤ͵ǡ͹ǤǤͶ
Ͷ
ProposalforMathinCambridgeUpperSchools
Unit6:
FillingandWrapping(ThreeǦDimensionalMeasurement)
CoreContent
SurfaceAreaandVolume
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Ǥ͵ǡ͹Ǥ
ǤͶǡ͹Ǥ
Ǥ͸ǡǤ͹Ǥ
Ǥ͹
Extension:ͺǤ
Ǥͻ
Unit7:
DataDistributions(DescribingVariabilityandComparingGroups)
CoreContent
Statistics
͹ǤǤͳǡ͹ǤǤʹǡ͹ǤǤ͵ǡ͹ǤǤͶ
Unit8:
WhatDoYouExpect?(ProbabilityandExpectedValue)
CoreContent
Probability
͹ǤǤͷǡ͹ǤǤ͸ǡ͹ǤǤ͹ǡ͹ǤǤͺ
ͷ
ProposalforMathinCambridgeUpperSchools
Grade8FlexibleGroupingsModel
ȋModelingstandardstobeconsideredthroughoutAlgebra1:N.Q.1,N.Q.2,N.Q.3,MA.N.Q.3aȌ
Unit1:
Core:Š‹‹‰‹–Šƒ–Š‡ƒ–‹…ƒŽ‘†‡Ž•ȋ‹‡ƒ”ƒ†˜‡”•‡ƒ”‹ƒ–‹‘Ȍ
Algebra1:ʹͲͲͶŽ‰‡„”ƒͳǡŠƒ’–‡”ͷ
CoreContent
Algebra1Content
ComparingProportionalRelationshipswith BuildingFunctions
LinesandLinearEquations
ǤǤͳǡǤǤʹǡǤǤ͵ǡǤǤͶ
ͺǤǤͷǡͺǤǤ͸
AbsoluteValueandStepFunctions
Functions
ǤǤ͹„
ͺǤǤͳǡͺǤǤʹǡͺǤǤ͵ǡͺǤǤͶǡͺǤǤͷ
FunctionsandFunctionNotation
ǤǤͳǡǤǤʹǡǤǤ͵
Unit2:
Core:‘‘‹‰ˆ‘”›–Šƒ‰‘”ƒ•ȋŠ‡›–Šƒ‰‘”‡ƒŠ‡‘”‡Ȍ
Algebra1:ʹͲͲͶŽ‰‡„”ƒͳǡŠƒ’–‡”•ͺƬͳͳ
CoreContent
Algebra1Content
IrrationalNumbers
RationalExponents
ͺǤǤͳǡͺǤǤʹ
ǤǤͳǡǤǤʹ
SquareandCubeRoots
PropertiesofRationalandIrrational
ͺǤǤʹ
Numbers
PythagoreanTheorem
ǤǤ͵
ͺǤ
Ǥ͸ǡͺǤ
Ǥ͹ǡͺǤ
Ǥͺ
Unit3:
Core:ʹ‘‘‘”‡—’’Ž‡‡–•
Algebra1:
”‘™‹‰ǡ
”‘™‹‰ǡ
”‘™‹‰ȋš’‘‡–‹ƒŽ‡Žƒ–‹‘•Š‹’•Ȍ
‘”ʹͲͲͶŽ‰‡„”ƒͳǡŠƒ’–‡”•͸Ƭͺ
CoreContent
Algebra1Content
PropertiesofExponents
PropertiesofExponents
ͺǤǤͳ
ǤǤ͵…
ScientificNotation
CompareLinearandExponential
ͺǤǤ͵ǡͺǤǤͶ
Relationships
ǤǤͳǡǤǤʹǡǤǤ͵ǡǤǤͷ
SolveEquationsGraphically
ǤǤͳͲǡǤǤͳͳ
InterpretLinearModels
ǤǤ͸ǡǤǤ͹ǡǤǤͺǡǤǤͻ
FeaturesofaGraph
ǤǤͶǡǤǤͷǡǤǤ͸ǡǤǤ͹ƒǡǤǤͺ„ǡǤǤͻǡ
ǤǤǤͳͲ
GraphExponentialFunctions
ǤǤ͹‡
͸
ProposalforMathinCambridgeUpperSchools
Unit4:
Core:ƒ’Ž‡•ƒ†‘’—Žƒ–‹‘•ȋƒ–ƒƒ†–ƒ–‹•–‹…•ȌƬ‘‘‘”‡—’’Ž‡‡–•
Algebra1:ʹͲͲͶŽ‰‡„”ƒͳ‡…–‹‘ʹǤ͹Ƭ—’’Ž‡‡–ƒŽƒ–‡”‹ƒŽ•
CoreContent
Algebra1Content
PatternsofAssociations
InterpretingData
ͺǤǤͳǡͺǤǤʹǡͺǤǤ͵ǡͺǤǤͶ
ǤǤͳǡǤǤʹǡǤǤ͵ǡǤǤͶǡǤǤͷ
Unit5:
Core:ƒ›–‹–Š›„‘Ž•ȋƒ‹‰‡•‡‘ˆ›„‘Ž•Ȍ
Algebra1:ʹͲͲͶŽ‰‡„”ƒͳŠƒ’–‡”ʹƬ‡…–‹‘•ͳǤ͹ǡͳǤͺǡͻǤͳƬ—’’Ž‡‡–ƒŽƒ–‡”‹ƒŽ
CoreContent
Algebra1Content
SolvingLinearEquations
InterpretLinearExpressions
ͺǤǤ͹
ǤǤͳ
OperationsonPolynomials
ǤǤͳ
CreateEquations
ǤǤͳǡǤǤʹǡǤǤ͵
SolveLinearEquations
ǤǤͶǡǤǤͳǡǤǤ͵
Unit6:
Core:Š‡Šƒ’‡•‘ˆŽ‰‡„”ƒȋ‹‡ƒ”›•–‡•ƒ†‡“—ƒŽ‹–‹‡•Ȍ
Algebra1:ʹͲͲͶŽ‰‡„”ƒͳŠƒ’–‡”͵Ƭ͹
CoreContent
Algebra1Content
SolvingSystemsofLinearEquations
SolveSystemsofLinearEquations
ͺǤǤͺ
AlgebraicallyandGraphically
ͺǤǤͺǡǤǤͷǡǤǤ͸ǡǤǤ͹
SolveLinearInequalitiesAlgebraicallyand
Graphically
ǤǤ͵ǡǤǤͳͲǡǤǤͳͳǡǤǤͳʹ
Unit7:
Core:ƒŽ‡‹†‘•…‘’‡•ǡ—„…ƒ’•ǡƒ†‹””‘”•
Algebra1:ʹͲͲͶŽ‰‡„”ƒͳŠƒ’–‡”ͻƬͳͲ‘””‘‰•ǡŽ‡ƒ•ǡƒ†ƒ‹–‡†—„‡•
CoreContent
Algebra1Content
CongruenceandSimilarity
SolveQuadraticEquations(factoring,
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ǤͳǡͺǤ
ǤʹǡͺǤ
Ǥ͵ǡͺǤ
ǤͶǡͺǤ
Ǥͷ
graphically,andcompletingthesquare)
Volume
ǤǤͶǡǤǤʹǡǤǤ͵ǡǤǤͺƒ
ͺǤ
Ǥͻ
CompareQuadraticRelationships
ǤǤ͵
FeaturesofaGraph
ǤǤ͹ƒǡǤǤͻǡǤǤǤͳͲ
͹