Sixth Grade Math Pacing Guide Page County Public Schools MATH 6/7 1st Nine Weeks: Days Unit: Decimals B

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1 Sixth Grade Math Pacing Guide MATH 6/7 1 st Nine Weeks: Unit: Decimals 6.4 Compare and order whole numbers and decimals using concrete materials, drawings, pictures and mathematical symbols. 6.6B Find the quotient, given a dividend expressed as a decimal through thousandths and a divisor expressed as a decimal to thousandths with exactly one non-zero digit. 6.6 Model, explain, and solve problems with decimals using the four basic operations. Students will justify solutions. 6.7 Use estimation strategies to solve multi-step practical problems involving whole numbers and decimals. 6.8 Solve multi-step consumer application problems involving decimals. Vocabulary: budget, consumer, difference, digit, dividend, divisor, estimation, factors, place value, product, quotient, rational numbers, rounding, sum Order of operations Unit: Number Sense 6.3A Find common multiples and factors, including least common multiple and greatest common factor. 6.3B Identify and describe prime and composite numbers/ *Note: introduce exponents with prime factorization. 6.3C Identify and describe characteristics of even and odd integers. Vocabulary: composite number, divisibility, even, factor, factor tree, greatest common factor, integers, least common multiple, multiples, odd, place value, prime factor, prime factorization, prime number, whole numbers Unit: Fractions 6.6A Solve problems that involve addition, subtraction, multiplication and division with fractions and mixed numbers with and without regrouping, that includes denominators of 12 or less, and express their answers in simplest form. 6.7 Use estimation strategies to solve multi-step practical problems involving fractions 6.8 Solve multi-step consumer application problems involving fractions. 6.4 Compare and order fractions and decimals using concrete materials, drawings, pictures and mathematical symbols. Vocabulary: common denominator, denominator, equivalent fraction, improper fraction, mixed number, numerator, proper fraction, ratio, reciprocal, rounding, simplest form, simplify, unlike denominator

2 *Note: Complete addition and subtraction of fraction operations in 1 st nine weeks and complete the fraction unit in the 2 nd nine weeks. Sixth Grade Math Pacing Guide 2 nd Nine Weeks: Unit: Ratios, Percent, and Probability 6.1 Identify representations of a given percent. Model, explain and demonstrate the equivalence relationship between percents, decimals and fractions. 6.2 Describe and compare two sets of data using ratios and the appropriate notations 6.20A Make a sample space for selected experiments and represent it in the form of a list, chart, picture or tree diagram. 6.20B Determine and interpret the probability of and event occurring from a given sample space and represent the probability as a ratio, decimal or percent, as appropriate for the given situation Vocabulary: event, independent event, outcome, percent, probability, proportion, rate, ratio, sample space, simple event, tree diagram Unit: Graphing 6.18 Given a problem situation, collect, analyze, display and interpret data using tables, charts and graphs (line, bar, circle, stem and leaf plot, box-and-whiskers plot) 6.19 Describe the mean, median, and mode as means of central tendency, describe the range for a set of data, and determine their meaning for each set of data. Vocabulary: bar graph, box-and-whiskers plot, circle graph, data, frequency table, horizontal axis, interquartile range, interval, line graph, lower extreme, lower quartile, mean, measures of central tendency, median, mode, range, scale, stem-and-leaf plot, survey, tally, upper extreme, upper quartile, vertical axis

3 Sixth Grade Math Pacing Guide 3rd Nine Weeks: Unit: Integers and Equations 6.5 Identify, represent, order and compare integers 6.23A Model and solve algebraic equations, using concrete materials 6.23B Solve one step linear equations in one variable, involving whole number coefficients and positive rational solutions. 6.23C Use the following algebraic terms appropriately: variable, coefficient, term, expression and equation Vocabulary: absolute value,algebraic expression, coefficient, equation, expression, number line, numerical expression, integers, opposites, term, variable, axis, quadrant Integer operations Properties of operations Solving one and two step equations Coordinate plane Unit: Patterns 6.21 Recognize, describe, and extend a variety of numerical and geometric patterns including triangular numbers, patterns formed by powers of 10 and arithmetic sequences 6.22 Investigate and describe concepts of positive exponents, perfect squares, square roots, and for numbers greater than 10, scientific notation. Calculators will be used to develop exponential patterns. Vocabulary: arithmetic sequence, base number, exponent, factor, geometric patterns, perfect square, pattern, power of a number, scientific notation, sequence, square root, triangular numbers

4 3 rd Nine Weeks Continued... Unit: Measurement 6.9 Compare and convert units of measures for length, weight/mass, and volume from one unit of measure to another within the U.S. customary system and the metric system and estimate conversions between units in each system: (Ballpark comparisons) -length: part of an inch (1/2, ¼, and 1/8), inches, feet, yards, miles, millimeters, centimeters, meters, and kilometers -weight/mass: ounces, pounds, tons, grams and kilograms -liquid volume: cups, pints, quarts, gallons, milliliters, and liters 6.10 Estimate then determine length, weight/mass, and volume using standard and non-standard units of measure. Vocabulary: capacity, centimeter, cup, fluid ounce, foot, gallon, gram, inch, kilogram, kilometer, liter, mass, meter, metric system, mile, milliliter, millimeter, nonstandard measurement, ounce, pint, pound, quart, standard measurement, ton, U.S. customary system, yard

5 Sixth Grade Math Pacing Guide 4 th Nine Weeks: Unit: Angles, Triangles and Segments 6.13A Estimate angle measures using 45 o, 90 o, and 180 o as referents and use appropriate tools to measure angles 6.13B Classify, measure and draw right, acute and obtuse triangles 6.15 Determine congruence of segments and angles by direct comparison, given their attributes. Examples of congruent and non-congruent figures will be included. Vocabulary: acute angle, acute triangle, angle, compass, congruent, degrees, equiangular, equilateral triangle,isosceles triangle, line segment, noncongruent, obtuse angle, obtuse triangle, protractor, ray, right angle, right triangle, scalene triangle, segment, straight angle, vertex Unit: Plane and Solid Figures 6.9D Compare and convert units of measures for area from one unit of measure to another within the U.S. Customary system and the metric system and estimate conversions between units in each system Estimate and determine area using standard and non-standard units of measure Determine if a problem situation involving polygons of four or fewer sides represents the application of perimeter or area. Use formulas to solve problems involving area and perimeter of triangles, rectangles, squares, and parallelograms. 6.12A Solve problems involving the circumference and/or area of a circle given the diameter or radius. 6.12B Derive approximations for pi from measurements for circumference and diameter, using concrete materials or computer models Identify, classify and describe the characteristics of plane figures including similarities, differences, and defining properties Sketch, construct models, and classify solid figures (rectangular prism, cone, cylinder, and pyramid) Vocabulary: area, base, circumference, cone, congruent, corresponding edges, cylinder, diameter, depth, height, hexagon, intersecting, length, net, parallel, parallelogram, pentagon, perimeter, perpendicular, pi, plane figure, polygon, prism, pyramid, quadrilateral, radius, ratio, rectangle, rectangular prism, regular polygon, rhombus, solid figure, square, square units, surface area, trapezoid, triangle, volume, width

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