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Rutherford County Schools Prioritized Curriculum 2007 Grade 7 – Honors Math NCSCOS Grade/ Objectives 4A 7(4.01) 4B 7(4.02) 4C 8(4.03) Topic Book Page / Section 4B 7(4.02) 4A 7(4.01) Frequency distribution 7 Histograms 8 54; 2-1 64; 2-3 623; 12-4 4B 7(4.02) 4A 7(4.01) 4A 7(4.01) 4C 8 (4.03) Mean, median, mode 7 69; 2-4 Stem & leaf plots 8 606; 12-1 Box Plots 8 617; 12-3 Misleading Statistics 8 7 630; 12-5 92; 2-8 DATA ANALYSIS AND PROBABILITY Essential Question A. How can I collect, organize, analyze, and display data using box plots and histograms? B. How can I describe and calculate mean, median, mode, range, frequency distribution and inter-quartile range of a set of data? C. How can I analyze and understand misleading statistics? How do you use a frequency table to record & display data? How do you determine the intervals of data in order to draw a histogram? How is a histogram different from a bar graph? How do you calculate different measures of central tendency? How do you make back to back stem & leaf plots? How do you draw and interpret a box & whisker plot? How are graphs misleading? Day/ Time 1 1 1 1 2 1 Rutherford County Schools Prioritized Curriculum 2007 Grade 7 – Honors Math NCSCOS Grade/ Objectives 2A 7(2.01), (2.02), and 8(2.01) 2B 7(2.01) 2C (8 (2.02) Topic 2A-1.d 7(2.01& 2.02) Angles (complementary, supplementary, corresponding, vertical, adjacent, alternates 8 492; 10-1 2A-1.b 7(2.01& 2.02) 2A-2.a Area (regular & irregular polygons) 8 520; 10-5 539; 10-8 How do you find the area of irregular shapes? 2 Surface areas (Prisms & pyramids) Volume (prisms & cylinders) Volume (pyramids & cones) Circumference Area (circles) 8 Supplement 1 8 563; 11-2 8 568; 11-3 8 533; 10-7 How does surface area change as the shape changes? How can you use only one formula to find the volume of regular prisms? How are pyramids & cones different from regular prisms? How does this affect their volume? How do you calculate circumference and area of a circle? 2A-2.b 7(2.02) 2A-2b 2A-1.b,c 7(2.01& 2.02) Book Page / Section MEASUREMENT Essential Question 1. How can I estimate, measure, and solve problems involving 2- and 3-dimensional figures in regards to perimeter, area, circumference, and angles? 2. How can I estimate, measure, and solve problems involving 2- and 3-dimensional figures in regards to surface area, volume, and change in dimensions? 3. How can I draw objects to scale and use scale drawing to solve problems? 4. How can I apply and use concepts of indirect measurement? How do you determine the angle types created when parallel lines are cut by a transversal? How do you find the missing measures of each new angle? Day/ Time 2 2 2 .5 Rutherford County Schools Prioritized Curriculum 2007 Grade 7 – Honors Math NCSCOS Grade/ Objectives 2A-2a 7(2.02)& 8(2.01) 1A 8(1.01), 7(1.01), 7(1.02), 7(1.03) Topic Book Page / Section Essential Question Day/ Time Surface area (cylinder) 7 538; 12-5 How can you calculate the surface area of a cylinder given the radius and height? 2 1A-1 8(1.01) 1A-3 7(1.02)&8(1.01) Writing fractions as decimals 8 200; 5-1 Rational & Irrational #’s 8 205; 5-2 441; 9-2 451 745; 9-2 NUMBERS AND OPERATIONS 1. How can I develop and use ratios, proportions, and percents to solve problems? 2. How can I develop fluency in addition, subtraction, multiplication, and division of rational numbers with regards to analyzing computational strategies, describing the effects of operations on size, estimating the results of computations, and judging the reasonableness of solutions? 3. How can I develop flexibility in solving problems by selecting strategies and using mental computations, estimation, calculators, or computers? 4. How can I define and use irrational numbers, compare and order real numbers, and use estimates of irrational numbers in appropriate situations? How do you write fractions as decimals, and decimals as fractions? What is a rational number? How do you identify and classify them? 1 1 Rutherford County Schools Prioritized Curriculum 2007 Grade 7 – Honors Math NCSCOS Grade/ Objectives 1A-2 7(1.02) 1A-2 7(1.02) 1A-2 7(1.02) 1A-2 7(1.02) Topic Book Page / Section Essential Question Day/ Time Multiply rational #’s 8 210; 5-3 How do you multiply rational numbers? .5 Divide rational #’s 8 215; 5-4 1 Add & subtract like & unlike fractions Arithmetic & geometric sequences 8 220; 5-5 232; 5-7 249; 5-10 How do you divide rational numbers using multiplicative inverses? How do you subtract like & un-like fractions? 1 1A-1.5 7(1.02)& 8(1.01) 1B-1 7(1.01) 1B-3 7(1.03)& 8(1.02) 1B-3 7(1.03)& 8(1.02) 1B-3 7(1.03)& 8(1.02) 1B-3 7(1.03)& 8(1.02) 7(1.xx) Maintain Estimate with rational and irrational numbers How do you identify and complete arithmetic & geometric sequences and patterns from either category? How can I estimate using rational and irrational numbers? What are the differences & similarities between ratios and rates? How do you use proportions to solve problems? 1 8 Supplement 1 1 Ratio & rates 8 264; 6-1 Using proportions 8 270; 6-2 Using % proportions 8 288; 6-5 How do you use percent proportions to solve problems? 1 Percent of change 8 304; 6-8 How do you find the percent of increase or decrease? 2 Probability & predictions 8 310; 6-9 1 Factors & monomials 8 148; 4-1 How do you find the probability of simple events & how can you use these probabilities to make predictions? What is a monomial? How do you factor a monomial? 2 2 Rutherford County Schools Prioritized Curriculum 2007 Grade 7 – Honors Math NCSCOS Grade/ Objectives 7(1.xx) Maintain 7(1.xx) Maintain 3A 7(3.01), 7(3.02), 7(3.03), 8(3.01) 8(3.02) Topic Book Page / Section Essential Question Day/ Time Powers & exponents 8 153; 4-2 2 Prime factorization: GCF&LCM GEOMETRY 8 159; 4-3 3A-1 7(3.01) 3-D figures, build and draw 7 8 514; 12-1 554; 11-1 How do you evaluate expressions that contain powers and exponents? How can you use prime factorization to find the GCF and LCM of two or more numbers? 1. How can I identify, describe, draw and build 3-dimensional figures from various views? How can I describe cross-sectional views of 3-dimensional figures? 2. How can I identify, define and describe similar and congruent polygons with respect to angle measures, length of sides, and proportionality of sides? 3. How can I use scaling and proportional reasoning to solve problems related to similar and congruent polygons? 4. How can I represent problem situations with geometric models? 5. How can I apply geometric properties and relationships, including the Pythagorean Theorem to solve problems? How do you build & draw 3-D figures given the top, side, & front views? 3B 7(3.02)& 7(3.03) Similar and congruent polygons, scaling and proportional reasoning 7 8 304; 7-4 440; 10-6 276; 6-3 471; 9-7 How do you use similar and congruent polygons, and scaling and proportional reasoning to solve real life problems? 2 1 1 Rutherford County Schools Prioritized Curriculum 2007 Grade 7 – Honors Math NCSCOS Grade/ Objectives 3C 8(3.02) Topic Book Page / Section Essential Question Day/ Time Pythagorean Theorem 7 8 479; 11-3 460; 9-5 How do you use the Pythagorean Theorem to find the missing side of a right triangle? 2 3D 8(3.01) 5A (7(5.01), 7(5.02), 7(5.03), 7(5.04), and 8(5.04) Problem Solving Using Geometric models ALGEBRA 8 471; 9-7 2 5B 7(5.02) Variables and Expressions 8 17/1-3 5B 7(5.02) Variables and Equations 8 28/1-5 How do geometric models help you solve problems? 1. How can I identify, analyze, and create linear relations, sequences, and functions using symbols, graphs, tables, diagrams, and written descriptions? 2. How can I translate among different representations of algebraic expressions, equations, and inequalities? 3. How can I use and evaluate algebraic expressions, linear equations, or inequalities to solve problems? 4. How can I develop fluency in the use of formulas to solve problems? 5. How can I develop fluency in the use of formulas? 6. How can I evaluate squares and square roots in equations and inequalities? How can I evaluate expressions containing variables? How can I translate word problems into algebraic expressions? How do I identify and solve open sentences? How do I translate verbal sentences into equations? 2 2 Rutherford County Schools Prioritized Curriculum 2007 Grade 7 – Honors Math NCSCOS Grade/ Objectives 5B 7(5.02) Topic Book Page / Section Essential Question Day/ Time Ordered pairs and relations 8 33/1-6 2 5B 7(5.02) 5C 7(5.03) Coordinate system 8 85/2-6 Writing 2-step equations 8 126/3-6 5D 7(5.01) 8(5.01a) 5D 7(5.01) 8(5.01a) 5D 7(5.01) 8(5.01a) 5D 7(5.01) 8(5.01a) 5D 7(5.01) 8(5.01a) 5D 7(5.01) 8(5.01a) 5D 7(5.01) 8(5.01a) Functions 8 369/8-1 Linear Equations 8 375/8-2 Graphing Linear Equations Using Intercepts 8 381/8-3 Writing Linear Equations 8 404/8-7 How do I use ordered pairs to locate points? How do I use tables and graphs represents relations? How do I graph points in a coordinate plane? How do I graph algebraic relationships? How do I write verbal sentences as two step equations? How do I solve verbal problems by writings and solving two step equations? How do I determine whether relations are functions? How do I use functions to describe relationships between two quantities? How do I solve linear equations with two variables? How do I graph linear equations with ordered pairs? How do I find the x- and y- intercepts of graphs? How do I graph linear equations using the x and y intercepts? How do I write equations given the slope and yintercept, a graph, a table, or two points? Best Fit Lines 8 409/8-8 2 Linear and Non-linear Functions 8 687/13-5 How do I draw best fit lines for sets of data? How do I use best fit lines to make predictions about data? How do I determine whether a function is linear or non-linear? Graphing Inequalities 8 419/8-10 How do I graph linear inequalities? How do I describe solutions of linear inequalities? 2 1 2 2 2 2 2 1 Rutherford County Schools Prioritized Curriculum 2007 Grade 7 – Honors Math NCSCOS Grade/ Objectives 5C 7(5.03) 5C 7(5.03) 5C 7(5.03) 5C 7(5.03) Topic Book Page / Section Essential Question Day/ Time Solving 2-step Equations 8 120/3-5 How do I solve two-step equations? 3 Solving Equations with Rational Numbers Solving Equations with Variables on Both Sides Solving Equations with Grouping Symbols 8 244/5-9 2 8 330/7-1 8 340/7-2 5B 7(5.02) 5C 7(5.03) Inequalities 8 340/7-3 How do I solve equations containing rational numbers? How do I solve equations with variables on each side? How do I solve equations that include grouping symbols? How do I identify equations that have not solution or an infinite number of solutions? How do I write and graph inequalities? 5B 7(5.02) 5C 7(5.03) Solving Inequalities with Adding and Subtracting 8 345/7-4 How do I solve inequalities by using the Addition and Subtraction Properties of Inequalities? 2 5B 7(5.02) 5C 7(5.03) Solving Inequalities with Multiplication and Division 8 350/7-5 How do I solve inequalities by multiplying or dividing by positive or negatives numbers? 2 5B 7(5.02) 5C 7(5.03) Solving Multi-step Inequalities 8 355/7-6 How do I solve inequalities that involve more than one operation? 2 2 2 2 Rutherford County Schools Prioritized Curriculum 2007 Grade 7 – Honors Math NCSCOS Grade/ Objectives 5C 7(5.03) Topic Book Page / Section Essential Question Day/ Time Linear Equation 7 158/4-6 How do I illustrate the meaning of percent using models or symbols? 2