NESHAMINY SCHOOL DISTRICT LANGHORNE, PA CURRICULUM MAP

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1 NESHAMINY SCHOOL DISTRICT LANGHORNE, PA CURRICULUM MAP 7th Grade Math - Course 2

3 Month: September Order of Operations Algebraic Expressions One step equations and inequalities Two step equations and inequalities Review Order of Operations Evaluating and writing algebraic expressions Review Distributive Property and Combining Like Terms Solving one and two step equations and inequalities (with whole numbers) C.C B.1 6.EE.1 7.EE.2 7.EE.4 7.EE.4; 8.EE.7 Math Inventory Assessment Quizzes Test Teacher Observations Warm Ups Additive inverse Expression Inequality equation Coefficient Constant Inverse operation Like terms Solution set Points, lines, and coordinate planes Solve & graph simple inequalities Graphing inequalities on a number line 7.EE.4b; 8.SP.1 Graphing points and lines on a coordinate plane

4 Month: October Integers Linear Equations Inequalities Exponents Add, Subtract, Multiply and divide integers Graph an inequality on a number line. Solve one and two step equations and inequalities (with integers) Writing and Evaluating Exponential Expressions 7.NS.1; 7.NS.1a; 7.NS.1b; 7.NS.1c; 7.NS.1d; 7.NS.2; 7.NS.2a; 7.NS.2b; 7.NS.2c; 7.NS.3 8.EE.7 7.EE.4a Daily Warm Up Guided Classroom Practice Daily Weekly Quizzes Unit Test Absolute value Base Exponent Exponential form Integer Opposite Power 7.EE.1; 7.EE.4a

5 Month: November CONTENT SKILLS PA Common Core Rational Numbers Compare and Order Rational Numbers Simplifying rational numbers in fraction form Writing fractions as decimals and decimals as fractions Adding,Subtracting, Multiplying and Dividing Rational Numbers (fractions and decimals) 7.NS.2 7.NS.1 CCSS ASSESSMENT Vocabulary 7.NS.1d 7.EE.4a Daily Warm Up Guided Classroom Practice Daily Weekly Quizzes Unit Tests Quarterly Test Dimensional Analysis Card Activity Complex fraction Irrational number Rational number Repeating decimal Real number Reciprocal Relatively prime Terminating decimal Solving one and two step equations and inequalities (with rational numbers)

6 Month: December Ratio and Proportions Proportional relationships Ratio, Rates and Unit Rates Conversion Factors Similar Figures Scale Drawings/ Models Finding Equivalent Ratios to create proportions Work with rates and ratios including determining a better buy Use one or more conversion factors to solve rate problems Solve Proportions Determine if figures are similar Make comparisons between scale drawings and actual objects To find dimensions of scale drawings and actual objects Interpret direct variation (proportional relationships) via scenarios, graphs, tables, equations, and ordered pairs 7.NS.3 7.NS.2; 7.NS.3 7.RP.1; 7.RP.2 7.RP.2; 7.RP.2a; 7.RP.2b; 7.RP.2c 7.RP.2; 7.RP.2a; 7.G.1; 8.G.3; 8.G.4 7.RP.2 7.RP.2 7.RP.2 7.RP.2d Quizzes Warm Ups Teacher Observations Tests Better buy Conversion factor Cross product Enlarge Equivalent ratio Gratuity/tip Proportion Proportional relationship Rate Ratio Reduce Scale Scale drawing Scale factor Scale model Similar figures Unit price Unit rate

7 Month: January CONTENT SKILLS PACommon Core CCSS ASSESSMENT Vocabulary Percents Relate Decimals, Fractions, and Percents Solving equations/proportions with Percents Estimating with percents Compute Simple Interest [I = Prt] Find commission and tax Calculate percent increase or decrease CC2.2.7.B.3 7.EE.3 7.RP.3; 7.EE.2; 7.EE.3 7.RP.3 7.SP.1; 7.SP.2; 7.SP.3; 7.SP.4 Warm Ups Classroom Guided Practice Tests/Quizzes Commission Commission rate Compatible numbers Markdown Markup Mean Absolute Deviation [MAD] Percent Percent change Percent decrease Data Analysis Interpret data in tables and stem and leaf plots. Find appropriate measures of central tendency (use vocabulary: maximum and minimum) Determine MAD (mean absolute deviation) CC B.2 CC B.2 CC B.2 Unit 2 Test/ SLO: Content Percent error Percent increase Population Principal Sales Tax Simple interest Sample Interpret data in bar graphs, histograms and line graphs CC B.2 Identify a sampling technique CC B.1

8 Month: February Probability Find the probability of an event Estimate probability using experimental or theoretical methods Find the number of possible outcomes in an experiment CC B.3 CC B.3 CC B.3 7.SP.5; 7.SP.7b 7.SP.6; 7.SP.7; 7.SP.7b 7.SP.7; 7.SP.7a; 7.SP.8 Quizzes Warm Ups Teacher Observations Tests Certain Dependent events Equally likely Event experiment Experiment Experimental probability Fair Impossible Independent events Inference Less/More likely Mutually exclusive Find the probabilities of independent, dependent and compound events CC B.3 7.SP.8; 7.SP.8a; 7.SP.7b; 7.SP.7c; 7.SP.8b; 7.SP.8c Outcome Population Probability Random numbers Sample Sample space Simulation use the term complementary events CC B.3 Theoretical probability Tree diagram Trial Unlikely

9 Month: March Spatial concepts in geometry Geometric figures Geometric figures cross sections Triangle Sum Theorem Triangle Inequality Theorem Perimeter, Circumference, and Area Formulas Discuss points, lines, planes, and define other geometric terms Classify triangles by sides and angles. Describe two dimensional figures resulting from slicing 3- D figures. Apply the Triangle Sum and Triangle Inequality Theorems Define congruence and identify corresponding sides and angles. Identify, describe and define diameter, radius, chord and circumference in circles Find the perimeter of polygons, including that of composite shapes Apply formulas to find area, including composite/compound shapes. CC A.1 CC A.1 8.G.5 7.G.2 7.G.3 7.G.5 7.G.5 8.G.1; 8.G.2; 8.G.3; 8.G.4 7.G.4 7.G.4 7.EE.1; 7.G.6; Quizzes Warm Ups Teacher Observations Tests Acute angle Acute triangle Adjacent angles Angle Arc Chord Center Central angle Circumference Complementary angles Congruence Correspondence Diameter Equilateral triangle Image Isosceles triangle Line Obtuse angle Obtuse triangle Parallel lines Parallelogram Perpendicular lines Plane Point Polygon Radius Ray Rectangle Regular polygon Rhombus Right angle Right triangle Scalene triangle Segment Square Supplemental angles Transversal Trapezoid Triangle inequality theorem Triangle sum theorem Vertical angles CC A.1

10 Month: April PSSA month Volume Surface Area Find the volume of prisms Find the surface area of prisms CC A.3 CC A.3 8.G.9 7.G.6 Teacher Observation Classroom Models Quiz Test Capacity Cubic units Square units Surface area Volume 7.G.6

11 Month: May Revisit: CONTENT SKILLS PA Common Core Geometry Content (Chapters 5 & 6) with an emphasis on vocabulary and classifying polygons Multi-step equations and inequalities Operations with signed numbers Use and apply geometry vocabulary Classify polygons, particularly quadrilaterals Solve multi-step equations and inequalities Add, subtract, multiply, and divide signed numbers CC A.1 CC B.3 CCSS ASSESSMENT Vocabulary 8.G.5 7.G.2 7.G.3 7.G.4 7.G.5 Teacher Observation Quizzes Tests SLO: Literacy Acute Angle Vertical angles Acute Triangle x axis Angle x coordinate Arc y axis Area y coordinate Center Central Angle Chord Circumference Complementary Angles Congruent Corresponding Diameter Equilateral Triangle Isosceles Triangle Line Obtuse Angle Obtuse Triangle Parallel Lines Parallelogram Perimeter Perpendicular Lines Plane Point Polygon Prism Pyramid Quadrant Radius Ray Rectangle Regular Polygon Rhombus Right angle Right triangle Scalene triangle Segment Similar figures Square Straight angle Supplementary angles Transversal Trapezoid Triangle sum theorem Vertex

13 Month: June Spiral Review For Final Exam Final Exam

SKILL: What we want students to DO. Students will be able to: (pp. 1 61)

TIME FRAME [By Date/Week/ Month] STANDARD OR BENCHMARK CURRICULUM End Product of Learning, What You Teach CONTENT: What we want students to KNOW. SKILL: What we want students to DO. INSTRUCTION Means to