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# Typical Curriculum Sequence for Developing Math Skills (page 3)

By C.R. Smith
Pearson Allyn Bacon Prentice Hall
Updated on Jul 20, 2010

Understands place value to thousands; adds and subtracts four digit numbers (e.g., 1,017 - 978); learns multiplication facts to 9 x 9; solves simple multiplication and division problems (642 x or ÷ 2); relates division to repeated subtractions; counts by 4s, 1000s; learns harder Roman numerals; introduction to fractions (adds/estimates/orders simple fractions; understands mixed numbers; reads fractions of an inch) and geometry (identifies hexagon, pentagon); understands diameter, radius, volume, area; understands decimals; begins to learn about negative numbers, probability, percentage, ratio; solves harder number story problems

Adds columns of 3 or more numbers; multiplies three digit by two digit numbers (348 x 34); performs simple division (44/22); reduces fractions to lowest terms; adds/subtracts fractions with different denominators (3/4 + 2/3); adds/subtracts decimals; converts decimals to percents; counts/makes change for up to \$20.00; estimates time; can measure time in hours, minutes, seconds; understands acute, obtuse, right angles; computes area of rectangles; identifies parallel, perpendicular, intersecting lines; calculates weight in tons, length in meters, volume in cubic centimeters

Multiplies three digit numbers (962 x 334); can work harder division problems (102 ÷ 32); adds, subtracts, multiplies mixed numbers; divides a whole number by a fraction; represents fractions as decimals, ratios, percents; adds, subtracts, multiplies, with decimals; understands use of equations, formulas, "working backward"; estimates products/quotients; begins to learn about exponents, greatest common factor, bases, prime factors, composite numbers, integers; understands percent, ratios; understands mean, median, mode; measures areal circumference of a circle, perimeter/areas of triangles and parallelograms, volume of cube; performs metric conversions; uses compass, protractor; reads scale drawings

#### Middle School

Masters order of operations in complex problems; multiplies/divides two fractions; adds, subtracts, multiplies divides decimals to the thousandth; understands real, rational, irrational numbers and different number bases; calculates square and cube roots; estimates percentages/proportions; calculates discount, sales tax, restaurant tip; understands markup, commission, simple interest, compound interest, percent increase/ decrease; understands angles (complementary, supplementary, adjacent, straight, congruent ... ); calculates volume of a cylinder; calculates arc/ circumference of circle; understands equilateral, isosceles, scalene, obtuse figures; organizes sets of data; graphs coordinates, transformations, reflections, rotations, equations with two variables; solves equations by substitution; begins to learn about conditional probability, permutations, factorial notation, relative frequency, normal curve, pythagorean theorem; deepens understanding of previously taught skills and concepts

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