Sixth Grade Pacing Guide
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- Loraine Quinn
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1 1 6th Grade Pacing Guide Chapter 1: Multiply and Divide Decimals 1-1a Estimate Products Judge the resonableness of the results of rational number estimates and/or computations. 1-1b 1-1c 1-1d Explore: Multiply Decimals by Whole Numbers 30 Multiply Decimals by Whole Numbers 32 Explore: Multiply Decimals by Decimals e Multiply Decimals by Decimals division of mixed numbers. 1-2a Estimate Quotients Judge the resonableness of the results of rational number estimates and/or computations. compatable numbers 1-2b 1-2c 1-2d Explore: Divide Decimals by Whole Numbers 47 Divide Decimals by Whole Numbers 49 Explore: Divide by Decimals 54
2 2 1-2e Divide Decimals by Decimals a Exponents 62 N/A base, power, exponent, perfect square, square root, radical sign 1-3b Multiply by Powers of c Divide by Powers of division of decimals. 1-3d Problem Solving with Resonable Investigation: Reasonable Answers 74 N/A 2-1a Part of a Number Chapter 2: Multiply and Divide Fractions multiplication and division of fractions 2-1b Estimate Products of Fractions multiplication and division of fractions 2-1c Explore: Multiply Fractions and Whole Numbers multiplication and division of fractions
3 3 2-1d 2-2a Multiply Fractions and Whole Numbers multiplication and division of fractions Explore: Multiply Fractions multiplication and division of fractions 2-2b Multiply Fractions multiplication and division of fractions 2-2c 2-2d 2-3a 2-3b Explore: Multiply Solve problems involving the Whole Numbers By addition,subtraction,multiplication Mixed Numbers and division of mixed numbers Solve problems involving the Multiply Mixed Numbers 112 addition,subtraction,multiplication 2.2 and division of mixed numbers Explore: Divide By Fractions multiplication and division of fractions Divide Whole Numbers By Fractions multiplication and division of fractions reciprocal 2-3c/d Explore: Divide Fractions /2.4 multiplication and division of fractions 2-3e Divide Mixed Numbers 130 Solve problems involving the addition,subtraction,multiplication 2.2 and division of mixed numbers Chapter 3: Ratios and Rates 3-1a Explore: Ratios b Ratios c Unit Rates 156 ratio
4 4 3-1d Rates 158 rate, unit rate, rate of change 3-2a Ratio Tables 163 ratio table, equivalent ratio,scaling Chapter 4: Fractions, Decimals, and Percents 4-1a Decimals as Fractions 200 rational number 4-1b Fractions as Decimals 204 terminating decimal, repeating decimal 4-2a Explore: Model Percents b Percents as Fractions 210 percent 4-2c Fractions as Percents d Percents and Decimals e Percents greater than 100% and Less Than 1% a Explore: Compare Fractions 227 Locate positive rational numbers on 2.7 the number line 4-3b Compare and Order Fractions 229 Locate positive rational numbers on 2.7 the number line least common denominator 4-3c Explore: Fractions, Decimals, and Percents on the Number Line 234 Locate positive rational numbers on 2.7 the number line 4-3d 4-4b Compare and Order Fractions, Decimals, and Percents 236 Estimate with Percents / 1.2 and percents. Judge the resonableness of the results of rational number estimates and/or computations.
5 5 4-4c Explore: Find the Percent of a Number d Percent of a Number 248 Chapter 5: Algebraic Expressions 5-1a Numerical Expressions 270 Use order of operations and parenthesis to simplify expressions 3.2 and solve problems 5-1b 5-1c 5-1d Use order of operations and Algebra: Variables and Expressions 274 parenthesis to simplify expressions 3.2 and solve problems Explore: Write Rewrite expressions to represent Expressions quantities in different ways Translate between verbal Algebra: Write expressions/sentences and algebraic Expressions expressions/equations 5-2a Algebra Properties / 3.7 / 1.4 Rewrite expressions to represent quantities in different ways. Use algebraic expressions to represent quantities in different ways. Select the representation that models one of the arithmetic properties numerical expression, order of operations algebra, variable, algebraic expression, evaluate, term, like terms, constant defining the variable properties, equivilent expressions 5-2b Explore: The 3.4 / 1.4 / Distributive Property Rewrite expressions to represent quantities in different ways. Use algebraic expressions to represent quantities in different ways. Select the representation that models one of the arithmetic properties
6 6 5-2c Rewrite expressions to represent quantities in different ways. Use algebraic expressions to represent quantities in different ways. Select the representation that models one of the arithmetic properties. Model The Distributive 1.5 / 1.4 / algebraic expressions using algebra Property / 3.7 tiles Chapter 6: Equations 6-1a Equations / 3.2 Write equations that correspond to given situations or represent a given mathmatical relationship. Use order of operations and parenthesis to simplify expressions and solve problems Translate between verbal Explore: Addition expressions/sentences and algebraic 6-1b Equations expressions/equations Translate between verbal Solve and Write expressions/sentences and algebraic 6-1d Equations expressions/equations Explore: Translate between verbal Multiplication expressions/sentences and algebraic 6-2a Equations expressions/equations equation, equal sign, solve, solution inverse operations, sutraction property of equality 6-2b Solve and Write Multiplication Equations / 3.5 Write equations that correspond to given situations or represent a given mathmatical relationship. Translate between verbal expressions/sentences coefficient, division and algebraic expressions/equations property of equality 6-2c Translate between verbal Explore: Division Equations 339 expressions/sentences and algebraic 3.5 expressions/equations
7 7 6-2d 6-3a 6-3b Solve and Write Division Equations / 3.5 Explore: Two-Step Equations Write equations that correspond to given situations or represent a given mathmatical relationship. Translate between verbal expressions/sentences and algebraic expressions/equations Model algebraic expressions using algebra tiles Solve and Write Two- Step Equations 346 Select the representation that models 1.4 one of the arithmetic properties Chapter7: Relations and Functions two-step equations 7-1a Graph Relations 336 Graph orbered pairs of integers in all 4 quadrants of the Cartesian coordinate 3.9 system Use algebraic expressions and properties to analyze numeric and 7-1b Function Machines geometric patterns Use algebraic expressions and properties to analyze numeric and 7-1c Function Tables geometric patterns 7-1d Function Rules 377 Use algebraic expressions and properties to analyze numeric and 3.7 geometric patterns Functions and Select the qualitative graph that 7-1e Equations models a contextual situation Multiple Solve two-step linear equations using Representations of number sense, properties, and inverse 7-1f Functions operations 7-2f Solve One-Step Inequalities 407 Represent on a number line the 3.1 solution of a linear inequality 7-2g Two-Step Inequalities 412 Represent on a number line the 3.1 solution of a linear inequality coordinate plane, origin, x-axis,y-axis,ordered pair, x-coordinate, y- coordinate, relation,graph function, function table,function rule sequence, term,arithmetic sequence, geometric sequence linear function
8 8 7-3a Absolute Value 418 Use concrete pictorial and symbolic 1.3 representations for integers Locate integers on a number line. Use concrete pictorial and symbolic Integers and Absolute representations for integers. Locate 2.8 / 1.3 / positive rational numbers on the integer, negative integer, positive integer, 7-3b Value number line absolute value 7-3c Coordinate Plane 423 N/A quadrants Chapter 8: Properties of Triangles and Quadrilaterals 8-1a Points, Lines, and Planes properties 8-1b Measure Angles properties point, line, ray, line segment, plane, congruent, intersecting lines, perpendicular lines, parallel lines angle, vertex, degree, right angle, acute angle, obtuse angle, straight angle 8-1c Angle Relationship properties vertical angles, supplementary angles, complementary angles, adjacent angles 8-2b Triangles properties triangle, acute triangle, right triangle, obtuse triangle, scalene triangle, isosceles triangle, equilateral triangle, Triangle Inequality Theorem
9 9 7-3b Properties of Quadrilaterals properties 7-3c Properties of Polygons properties 8-3d Similar and Congruent Figures properties 8-4a-e Transformations These are grade level expectations that students usually haven't grasped when they get to 6th grade. Depending on the abilities of your students, you may be able to skip this section. Chapter 9: Perimeter, Area, and Volume 9-1a Area of Parallograms b/c Area of Triangles Find a missing angle measure in problems involving interior/exterior angles and/or their sums Find a missing angle measure in problems involving interior/exterior angles and/or their sums quadrilateral, rectangle, square, parallelogram, rhombus, trapezoid polygon, pentagon, hexagon, heptagon, octagon, nonagon, decagon, interior angle, exterior angle similar figures, congruent figures, corresponding sides transformation, image, translation, reflection, line of reflection, line symmetry, line of symmetry, rotation, rotational symmetry, angle of rotation, dilation 9-1d Area of Trapeziod Find a missing angle measure in problems involving interior/exterior angles and/or their sums
10 10 9-2a/b Circumference 540 Calculate with circumferences and 4.4 areas of circles Calculate with circumferences and 9-2c/d Area of Circles areas of circles Determine the surface area and 9-4a/b Volume of Retangular Prisms 568 volume of prisms, pyramids, and 4.5 cylinders Determine the surface area and Surface Area of volume of prisms, pyramids, and 9-4c/d Retangular Prisms cylinders Chapter 10: Volume of Prisms and Pyramids Determine the surface area and volume of prisms, pyramids, and 10-1a/b Volume of Prisms cylinders 10-1c/d Volume of Pyramids 602 Given the volume of a cone/pyramid, find the volume of the related 4.6 cylinder/prism or vice versa Determine the surface area and volume of prisms, pyramids, and 10-2a/b Volume of Cylinders cylinders 10-2c/d Volume of Cones Given the volume of a cone/pyramid, find the volume of the related cylinder/prism or vice versa circle, center, diameter, circumference, radius, pi semicircle three-dimensional figure, retangular prism, volume, cubic units nets, surface area triangular prism pyramid cylinder cone 10-3b/c Determine the surface area and Surface Area of Cylinders 620 volume of prisms, pyramids, and 4.5 cylinders
11 11 Chapter 11: Analyze Data and Graphs 11-1b/d Mean, Median, Mode and Range 644 Optional statistics, data, average, mean, measure of central tendancies, median, mode, range 11-2a/b Frequency Tables/Stem and Leaf 661 Optional frequency, interval, scale 11-4b 12-1a 12-2a/b Collect Data to Solve a Determine whether or not a sample is Problem biased Determine the theoretical probability Probability of Simple Events 711 of simple and compound events in 5.1 familiar context Determine the theoretical probability Probability of Independent Events 732 of simple and compound events in 5.1 familiar context biased outcomes, simple event, probability, random, complimentary event, odds in favor compound events, independent events Determine the theoretical probability 12-2c/d Probability of Dependant Events 737 of simple and compound events in 5.1 familiar context Make conjectures and predictions 12-3a Making Predictions based on data Unbiased and Biased Determine whether or not a sample is 12-3b Samples biased dependent events survey, population, sample unbiased sample, biased sample
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