Math 7 CCSS Lesson Brainstorm
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CCSSLAUSDStandard’s Exact WordingSkills + ExtraRate theDigital
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Stand.UnitVOCABULARY words are underlinedVocabularyDescriptionResourceResourceVersion in…
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Analyze proportional relationships and use them to solve real-world and mathematical problems
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Drawing to Scale: Designing a Gardenhttp://map.mathshell.org/materials/download.php?fileid=1376Great as a performance task... difficult at first, need scaffolding
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Estimating: Counting Trees Lessonhttp://map.mathshell.org/materials/download.php?fileid=1239Great!!
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7.RP.A.1Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.
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7.RP.A.2Recognize and represent proportional relationships between quantities
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7.RP.A.2aDecide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
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Proportion and Non proportion situation concept lessonhttp://map.mathshell.org/materials/download.php?fileid=1455
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7.RP.A.2bIdentify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
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Walking RatesNCTM: Navigating Through AlgebraExcellent approach to generate linear proportions/equations, then extrapolate to make predictions with change of units
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Circumference vs DiameterExplore their relationship by measuring several round objects, recording these in tables, then graphing on a coordinate plane. Students explain what ordered pair means, and then define Pi in their own wordsExtend by predicting (estimating) additional C or D's
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Determine the Thickness of a Sheet of PaperNeed caliper rulers and scissors. Provide a sheet of paper to each student, cut it in half, then regroup and cut in half again, iterate this process 6 times. All along students attempt to measure the aggregate thickness. Organize data in a table and graph on a coordinate plane. Express answer in both cm and mm.This could be a follow up to the previous activity for independent/group practice.
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7.RP.A.2cRepresent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
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7.RP.A.2dExplain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
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7.RP.A.3Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
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"Increasing & Decreasing Quantities by a %" Concept Lessonhttp://map.mathshell.org/materials/download.php?fileid=1249
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Visualize Percentageshttp://nlvm.usu.edu/en/nav/frames_asid_160_g_3_t_1.html?open=activities&from=grade_g_3.html(JAVA)Students input generates different representations.
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Percentage Gridhttp://nlvm.usu.edu/en/nav/frames_asid_333_g_3_t_1.html?from=grade_g_3.html(JAVA)Students input generates different representations.
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Grid and Percent it (technically 6th grade)http://illuminations.nctm.org/Lesson.aspx?id=960students use a 10 × 10 grid as a model for solving various types of percent problems.
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Online: Percent Grid Worksheethttp://www.mathslice.com/percentgrid_ws.phpSet of 6 problems, self-graded, for individual practice. Students identify percentage shaded
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Online: Ratios and Proportions Worksheets http://www.mathslice.com/actionctl.php?actionid=542set of 10 problems, self-graded, for individual practice.
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Ratios & Proportional Reasoning
The Number System
Expressions and Equations
Geometry
Statistics and Probability