Session 120: Weaving 8th Grade Standards Into MS Math 1 …€¦ · Weaving 8th Grade Standards...

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Weaving 8th Grade Standards into MS Math 1 Liz Moffitt Lakewood Montessori Middle School Durham Public Schools

Transcript of Session 120: Weaving 8th Grade Standards Into MS Math 1 …€¦ · Weaving 8th Grade Standards...

Page 1: Session 120: Weaving 8th Grade Standards Into MS Math 1 …€¦ · Weaving 8th Grade Standards into MS Math 1 Liz Moffitt Lakewood Montessori Middle School Durham Public Schools.

Weaving 8th Grade Standards into MS Math 1Liz MoffittLakewood Montessori Middle SchoolDurham Public Schools

Page 2: Session 120: Weaving 8th Grade Standards Into MS Math 1 …€¦ · Weaving 8th Grade Standards into MS Math 1 Liz Moffitt Lakewood Montessori Middle School Durham Public Schools.

Purpose★ Our students are held accountable for both their

grade-level math standards AND the Math 1 standards, even though they are only receiving instruction for Math 1.

★ Their success in both courses is important.★ How do we, in the short amount of time we

have, give students access to both sets of standards?

Page 3: Session 120: Weaving 8th Grade Standards Into MS Math 1 …€¦ · Weaving 8th Grade Standards into MS Math 1 Liz Moffitt Lakewood Montessori Middle School Durham Public Schools.

8.NS.1

Page 4: Session 120: Weaving 8th Grade Standards Into MS Math 1 …€¦ · Weaving 8th Grade Standards into MS Math 1 Liz Moffitt Lakewood Montessori Middle School Durham Public Schools.

8th Grade: 8.NS.1 Math 1: A-CED.1

Give students the task of devising a plan that would always work for

converting repeating decimals into their equivalent fractions. Great

investigation, and post-discussion would hit practice standard #3!

Page 5: Session 120: Weaving 8th Grade Standards Into MS Math 1 …€¦ · Weaving 8th Grade Standards into MS Math 1 Liz Moffitt Lakewood Montessori Middle School Durham Public Schools.

8th Grade: 8.NS.2 Math 1: A-CED.1

Review with solving quadratics. Have

students place solutions to ax2 + c = 0 type

equations on the number line.

Page 6: Session 120: Weaving 8th Grade Standards Into MS Math 1 …€¦ · Weaving 8th Grade Standards into MS Math 1 Liz Moffitt Lakewood Montessori Middle School Durham Public Schools.

8th Grade: 8.EE.3 & 8.EE.4 Math 1: F-LE.1, F-LE.2, F-LE.3

Have students express really large (exponential growth) values or really small (exponential decay) values in scientific notation in tables or on

graph axes.

8.EE.4 also involves operating with numbers in scientific notation (+, -, *, /)

Page 7: Session 120: Weaving 8th Grade Standards Into MS Math 1 …€¦ · Weaving 8th Grade Standards into MS Math 1 Liz Moffitt Lakewood Montessori Middle School Durham Public Schools.

8th Grade: 8.F.5 Math 1: F.IF.4, F.IF.5, F.IF.6

Review with domain, range, and definition of function.

Students can also calculate average rate of change from

these sorts of graphs.

Page 8: Session 120: Weaving 8th Grade Standards Into MS Math 1 …€¦ · Weaving 8th Grade Standards into MS Math 1 Liz Moffitt Lakewood Montessori Middle School Durham Public Schools.

8th Grade: 8.G.1 Math 1: G.GPE.4, G.GPE.5, G.GPE.7, G.CO.1

A lesson on this standard could be a time to tie in distance and

midpoint to verify the congruence of a preimage and an image!

Students can also prove parallel/perpendicular segments

both before and after transformations.

Page 9: Session 120: Weaving 8th Grade Standards Into MS Math 1 …€¦ · Weaving 8th Grade Standards into MS Math 1 Liz Moffitt Lakewood Montessori Middle School Durham Public Schools.

8th Grade: 8.G.2, 8.G.3, & 8.G.4 Math 1: G.GPE.4, G.GPE.5, G.GPE.7, G.CO.1, F.BF.3

Distance, midpoint,

slope, transform-

ation of functions.

Page 10: Session 120: Weaving 8th Grade Standards Into MS Math 1 …€¦ · Weaving 8th Grade Standards into MS Math 1 Liz Moffitt Lakewood Montessori Middle School Durham Public Schools.

8th Grade: 8.G.9 Math 1: A.CED.4, G.GMD.3

Rearrange formulas to

highlight a quantity of interest

Use volume formulas for

cylinders, pyramids, cones, and spheres to

solve problems. At this level, formulas

for pyramids, cones and spheres

will be given.

Page 11: Session 120: Weaving 8th Grade Standards Into MS Math 1 …€¦ · Weaving 8th Grade Standards into MS Math 1 Liz Moffitt Lakewood Montessori Middle School Durham Public Schools.

8th Grade: 8.SP.4 Math 1: S.ID.5

Teach with relative

frequency histograms

for two applications

of relative frequency.

Page 12: Session 120: Weaving 8th Grade Standards Into MS Math 1 …€¦ · Weaving 8th Grade Standards into MS Math 1 Liz Moffitt Lakewood Montessori Middle School Durham Public Schools.

8.G.5: ● angle sums and exterior angle sums of

triangles,● angles created when parallel lines are cut by

a transversal,● the angle-angle criterion for similarity of

triangles. ● the measure of an exterior angle of a triangle

is equal to the sum of the measures of the other two interior angles and the sum of the exterior angles 360º.

● find the measure of missing angles. 8.G.6-8:

● Pythagorean Theorem

Other Geometry Standards (8.G.5-8)

This one’s tough, perhaps it demands its own mini-unit. Maybe during the end-of-year

review?

Weave in with geometry standards (use coordinates to

compute perimeters) where students need

distance/midpoint.

Page 13: Session 120: Weaving 8th Grade Standards Into MS Math 1 …€¦ · Weaving 8th Grade Standards into MS Math 1 Liz Moffitt Lakewood Montessori Middle School Durham Public Schools.

Implementation Ideas● Small Groups

○ stations○ weekly workplan model

● Build in the 8th grade standards to end-of-year review time rather than regular instruction

● Use videos (Khan Academy, LearnZillion) for quick and easy 8th grade lessons to be added into your existing units for Math 1

● modify existing assignments and activities to simply include 2-3 additional tasks that assess 8th grade○ cut and past 2-3 released 8th grade EOG questions

Page 14: Session 120: Weaving 8th Grade Standards Into MS Math 1 …€¦ · Weaving 8th Grade Standards into MS Math 1 Liz Moffitt Lakewood Montessori Middle School Durham Public Schools.

Example: Weekly Workplan

Page 15: Session 120: Weaving 8th Grade Standards Into MS Math 1 …€¦ · Weaving 8th Grade Standards into MS Math 1 Liz Moffitt Lakewood Montessori Middle School Durham Public Schools.

Questions & Time for Brainstorming

● tinyurl.com/MSMath1 is the link to a Google folder ○ the presentation, ○ the example workplan○ the alignment →

● http://maccss.ncdpi.wikispaces.net

● Questions?

● Take time to think of an existing activity, something you already use, and brainstorm how it could be tweaked to cover both 8th and 9th grade content.

Page 16: Session 120: Weaving 8th Grade Standards Into MS Math 1 …€¦ · Weaving 8th Grade Standards into MS Math 1 Liz Moffitt Lakewood Montessori Middle School Durham Public Schools.