North Platte Public Schools 2013-2014 GRADE: 7th Mathematics BENCHMARK 1 Instruction: Start Date – August End Date - October Benchmark Test Dates Benchmark Analysis Date Essential Standards MA 7.1.3.b Select, apply, and explain the method of computation when problem solving using integers and positive rational numbers (e.g., models, mental computation, paper-pencil, technology, divisibility rules) Glencoe Math Connects Course 2 2009 Lesson 1-1 (planning for problem solving) Problem-Solving Investigations throughout the text MA 7.1.4.a Use estimation methods to Glencoe Math Connects Course 2 2009 check the reasonableness of solutions for problems involving integers and positive Lesson 1-1 (planning for problem solving) rational numbers MA 7.3.3.c Given the value of the variable(s), evaluate algebraic expressions with respect to order of operations. MA 7.1.3.a Compute accurately with integers MA 7.3.3.a Explain additive inverse of addition (e.g., 7 + -7 = 0) Lessons Aligned to ES Glencoe Math Connects Course 2 2009 1-2 (powers and exponents) 1-3 (squares and square roots) 1-4 (order of operations) Glencoe Math Connects Course 2 2009 2-1 (integers) 2-2 (comparing and ordering integers) Explore 2-4 (adding integers) 2-4 (adding integers) 2-5 (subtracting integers) 2-6 (multiplying integers) 2-8 (dividing integers) Glencoe Math Connects Course 2 2009 2-4 (adding integers) Revised May 27, 2013 MA 7.1.2.c Use drawings, words, and symbols to explain the addition and subtraction of integers 7.2.2.a Plot the location of an ordered pair in the coordinate plane 7.2.2,c Find the distance between points along vertical and horizontal lines of a coordinate plane (e.g. what is the distance between (0,3) and (0,9) Glencoe Math Connects Course 2 2009 2-4 (adding integers) Explore 2-4 (adding integers) 2-5 (subtracting integers) Explore 2-5 (subtracting integers) Glencoe Math Connects Course 2 2009 2-3 (coordinate plane) 10-9 (translations) Glencoe Math Connects Course 2 2009 2-3 (coordinate plane) 10-9 (translations) Mathematics BENCHMARK 2 Instruction: Start Date – October End Date – December (end of semester) Benchmark Test Dates Benchmark Analysis Date Essential Standards Lessons Aligned to ES Glencoe Math Connects Course 2 2009 7.3.3b Use symbolic representation of the 1-8 (properties) distributive property ( 2(x+3)=2x+6 7.3.2a Model contextualized Glencoe Math Connects Course 2 2009 problems using various 1-8 ( (properties) representations (one1-10 (equations and functions) step/variable expressions, 1-6 (variables and expressions) one-step/variable 3-1 (writing expressions and equations) expressions) 3-2 (solving equations using models) 3-2 ( solve addition and subtraction equations) 3-3 (solve multiplication equations) 7.3.2b Represent a variety of Glencoe Math Connects Course 2 2009 quantitative relationships 1-8 ( (properties) using algebraic expressions 1-10 (equations and functions) and one-step equations 1-6 (variables and expressions) 3-1 (writing expressions and equations) Explore 3-2 (solving equations using models) 3-2 ( solve addition and subtraction equations) 3-3 (solve multiplication equations) Glencoe Math Connects Course 2 2009 7.3.3e Solve one-step inequalities involving positive 3-2 (solving addition and subtraction equations) rational numbers pg. 740-741 (solve and graph inequality) Glencoe Math Connects Course 2 2009 7.3.1b Use a variable to describe a situation with an 1-6 (variables and expressions) inequality(one-step, one pg.740-741 (solve and graph inequality) see also 7.3.2a variable) Glencoe Math Connects Course 2 2009 7.3.3d Solve two-step equations involving integers 3-5 (solving two-step equations) and positive rational numbers 7.1.1.a Show equivalence among fractions, decimals, and percents 6-1 (ratios, equivalent ratios) 6-6 (algebra: solving proportions) 7-2 (the percent proportion) 7.1.3.c Solve problems involving percent of numbers (e.g., percent of, % increase, % decrease) 7-1 (percent of a number) 7-2 (the percent proportion) 7-3 (percent and estimation) Mathematics BENCHMARK 3 Instruction: Start Date – January End Date - March Benchmark Test Dates Benchmark Analysis Date Essential Standards MA 7.1.3.c Solve problems Glencoe Math Connects Course 2 2009 involving percent of numbers (e.g., percent of, % increase, 7-6 (percent of change) % decrease) 7-7 (sales tax discount) MA 7.1.1.c Represent large numbers using scientific notation Lessons Aligned to ES Glencoe Math Connects Course 2 2009 LA2 (scientific notation) LA5 (scientific notation) Glencoe Math Connects Course 2 2009 4-1 (prime factorization) 4-2 (greatest common factor) 4-4 (simplify fraction) 4-8 (least common multiple) 4-9 (comparing and ordering rational numbers) 5-2 (adding and subtracting fractions) Glencoe Math Connects Course 2 2009 MA 7.1.1.a Show equivalence among fractions, decimals, 4-5 (equivalent fractions and decimals) and percents 4-6 (equivalent fractions and percents) 4-7 (equivalent percents and decimals) 6-9 (equivalent fraction, decimal , percent) MA 7.1.1.e Find least common multiple and greatest common divisor given two numbers MA 7.1.1.b Compare and order rational numbers (e.g., fractions, decimals, percents) Glencoe Math Connects Course 2 2009 2-2 (comparing and ordering integers) 4-9 (comparing and ordering rational numbers) 6-9 (equivalent fraction, decimal, percent) MA 7.4.1.b Find and interpret mean, median, mode, and range for sets of data Glencoe Math Connects Course 2 2009 8-1 (line plots) 8-2 (measures of central tendency and range) 8-3 (stem-and-leaf plots) Class surveys Mathematics BENCHMARK 4 Instruction: Start Date – March End Date - May Benchmark Test Dates Benchmark Analysis Date Essential Standards 7.2.2.a Plot the location of an ordered Glencoe Math Connects Course 2 2009 pair in the coordinate plane 2-3 (coordinate plane) 10-9 (translations) Lessons Aligned to ES 7.2.2,c Find the distance between points along vertical and horizontal lines of a coordinate plane (e.g. what is the distance between (0,3) and (0,9) Glencoe Math Connects Course 2 2009 2-3 (coordinate plane) 10-9 (translations) MA 7.2.3.b Perform and describe positions and orientation of shapes under a single transformation (e.g., translation, rotation, reflection) on a coordinate plane Glencoe Math Connects Course 2 2009 10-9 (translations) 10-10 (reflections) MiniLab p 553 MiniLab p.558 Glencoe Math Connects Course 2 2009 Explore 11-2 (triangles and trapezoids) MiniLab p.577 11-2 (area of triangles and trapezoids) Explore 11-3 (circumference of circles) MiniLab p. 583 11-3 (circumference of circles) 11-4 (area of circles) Glencoe Math Connects Course 2 2009 8-1 (line plots) 8-2 (measures of central tendency and range) 8-3 (stem-and-leaf plots) 8-4 (bar graphs and histograms) MA 7.2.5.b Determine the area of trapezoids and circles, and the circumference of circles MA 7.4.1 .a Analyze data sets and interpret their graphical representations MA 7.4.3.a Find the probability of Glencoe Math Connects Course independent compound events (e.g., tree 4-3 (organized list) diagram, organized list) 2 2009 9-1 (simple events) 9-2 (sample spaces) Extend 9-7 (probability) 9-8 (compound events) MA 7.4.3.b Compare and contrast Glencoe Math Connects Course 2 2009 theoretical and experimental probabilities Extend 9-7 (probability) MiniLab p.486 9-7 (theoretical an experimental probability)