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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? 8.NS.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! 8th Grade: 8.NS.1 Math 1: A-CED.1 Review with solving quadratics. Have students place solutions to ax2 + c = 0 type equations on the number line. 8th Grade: 8.NS.2 Math 1: A-CED.1 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 (+, -, *, /) 8th Grade: 8.EE.3 & 8.EE.4 Math 1: F-LE.1, F-LE.2, F-LE.3 Review with domain, range, and definition of function. Students can also calculate average rate of change from these sorts of graphs. 8th Grade: 8.F.5 Math 1: F.IF.4, F.IF.5, F.IF.6 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. 8th Grade: 8.G.1 Math 1: G.GPE.4, G.GPE.5, G.GPE.7, G. CO.1 Distance, midpoint, slope, transformation of functions. 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 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. 8th Grade: 8.G.9 Math 1: A.CED.4, G.GMD.3 Teach with relative frequency histograms for two applications of relative frequency. 8th Grade: 8.SP.4 Math 1: S.ID.5 Other Geometry Standards (8.G.5-8) 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 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. 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 Example: Weekly Workplan 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.