Mathematics

=**Math Connects**=

[|Math Connects Home] [|eGlossary: define the vocabulary words here] [|Practice Skills for Delaware State Content Standards] New

Below is a list of the units we will study this year, a brief summary of what will be learned, and vocabulary that will be used in that unit. Use the eGlossary to locate word meanings.

Students will read and write whole numbers to the hundred thousands, explore the concept of a million, read and write whole numbers through the millions, solve problems using the four-step plan, compare whole numbers, order numbers through the millions, round numbers through the millions, and choose the best strategy to lsolve a problem. Vocabulary: digit, estimate, expanded form, is equal to, is greater than, is less than, place value, round or rounding, standard form Below is a video on the three ways to write a number. media type="custom" key="10590998"
 * Unit 1: Using Place Value to Represent Whole Numbers**

Students will use addition properties and subtraction rules to add and subtract, estimate sums and differences of numbers, determine when to estimate or find an exact answer, add numbers including multi-digit numbers, use technology to explore addition, explore how to subtract whole numbers, subtract multi-digit numbers, choose the best strategy to solve a problem, and subtract multi-digit numbers, when some digits are zero. Vocabulary: associative property of addition, commutative property of addition, difference, estimate, identity property of addition, minuend, subtrahend
 * Unit 2: Solving Addition and Subtraction Problems**

Students will take a survey and collect and organize data, identify the mode, median, and outliers of a set of data, solve problems making a table, present and interpret data in a line plot, interpret a bar graph, interpret bar graphs to answer questions, display data in double bar graps, choose the best strategy to solve a problem, determine the possible outcomes of an experiment, use pictures to find all the possible outcomes in a problem situation, describe probability with words and numbers, and use t echnology to find probability. Vocabulary: data, double bar graph, frequency table, line plot, median, mode, outlier, probability, survey, tally chart
 * Unit 3: Organizing, Displaying, and Interpreting Data**

Students will use models to represent multiplication and division, understand how multiplication and division are related, use multiplication properties and division rules, recall multiplication and division facts 0 through 5, choose an operation to solve a problem, recall multiplication and division facts through 10, recall and apply multiplication facts for 11 and 12, choose the best strategy to solve a problem, multiply 3 factors, and find factors and multiples of whole numbers. Vocabulary: associative property of multiplication, commutative property of multiplication, distributive property of multiplication, fact family, factor multiple
 * Unit 4: Applying Multiplication and Division Facts**

Students will write and find the value or an expression, explore addition and subtraction equations, solve addition and subtraction equations, identify extra or missing information, identify, describe, and extend numeric and nonnumeric patterns, find and use rules to write addition and subtraction equations, write and find the value of multiplication and division expressions, choose the best strategy to solve a problem, and find and use rules to write multiplication and division equations. Vocabulary: equation, expression, parentheses, pattern, solve
 * Unit 5: Describing Algebraic Patterns**

Students will multiply multiples of 10, 100, and 1,000 using basic facts and patterns, decide whether an answer to a problem is reasonable, extimate answers by rounding, multiply a two-digit number by a one-digit number, choose the best strategy to solve a problem, multiply a multi-digit number by a one-digit number, and multiply a multigit number with seros by a one-digit number. Vocabulary: estimate, factor, multiple, product, regroup, round
 * Unit 6: Multiplying by One-Digit Numbers**

Students will multiply a whole number by a multiple of ten, estimate products by rounding, solve problems by using the act it out strategy, explore multiplication by two-digit numbers, multiply two-digit numbers, multiply a three-digit number by a two-digit number, choose the best strategy to solve a problem, multiply four-and five-digit numbers by a two-digit number. Vocabulary: distributive property of multiplication, estimate, factor, multiple, product, regroup, round
 * Unit 7: Multiplying by Two-Digit Numbers**

Students will explore dividing by one-digit numbers, carry out division with and without remainders, use basic fact and petterns to divide mentally, solve problems by using the guess and check trategy, estimate quotients, solve division problems that result in two-digit quotients, choose the best strategy to solve a problem, solve division problems that result in three-digit quotients, use technology to divide three-digit dividends, solve division problems that result in quotients that have zeros, divide four-digit dividends by a one-digit number. Vocabulary: compatible numbers, dividend, divisor, quotient, remainder
 * Unit 8: Dividing by One-Digit Numbers**

Students will identify and describe three-dimensional figures and identify and draw nets, identify, describe, and classify two-dimensional figures, solve problems by looking for a pattern, identify, describe, and classify angles, identify, describe, and classify triangles, identify, describe and classify quadrilaterals, and choose the best strategy to solve a problem. Vocabulary: acute angle, angle, obtuse angle, polygon, right angle, three-dimensional figure, two-dimensional figure
 * Unit 9: Identify and Describe Geometric Figures**

Students will locate points on a number line, identify and describe parallel and intersecting lines, identify and describe lines, line segments, and rays, make an organized list to solve problems, use ordered pairs to find and name points on a grid, explore rotations, reflections, and translations, identify rotations, reflections, and translations, choose the best strategy to solve a problem, identify congruent figures, use technology to explore congruent figures, identify figures with symmetry. Vocabulary: bilalteral symmetry, congruent, coordinate plane, line of symmetry, line segment, line symmetry, number line, origin, point, reflection
 * Unit 10: Understanding and Developing Spatial Reasoning**

Students will estimate and measure lengths to the nearest inch, 1//2 inch, and 1/4 inch, estimate and measure customary lengths, convert customary units of length, solve problems by solving a simpler problem, estimate and measure objects to the nearest centimeter, estimate and measure lengths within the metric system, find the perimeter of a figure, find the area of rectangles and squares, explore perimeter and area, choose the best strategy to solve a problem, measure temperature and calculate changes in temperature. Vocabulary: area, centimeter, convert, customary, foot, inch, length, meter, perimeter, square units
 * Unit 11: Measuring Length, Area, and Temperature**

Students will estimate and measure capacity, estimate and measure customary capacities, convert customary units of capacity, estimate and measure metric capacities, estimate and measure weight, estimate and measure customary units of weight, solve problems using logical reasoning, convert customary units of weight, estimate and measure mass and learn the difference between weight and mass, estimate and measure volume in cubic units, choose the best strategy to solve a problem, solve problems about elapsed time. Vocabulary: capacity, cubic units, cup/pint, elapsed time, gallon/quart, gram/kilogram, liter/milliliter, mass, pound/ounce, ton, volume, weight
 * Unit 12: Measuring Capacity, Weight, and Volume**

**Unit 13: Describe and Compare Fractions** Students will identify, write, and read fractions for parts of a whole, identify, write, read, and model fractions for parts of a set, solve problems by drawing a picture, identify equivalent fractions, find equivalent fractions, compare and order simple fractions, write mixed numbers and improper fractions, choose the best strategy to solve a problem. Vocabulary: denominator, equivalent fractions, fraction, improper fraction, mixed number, numerator

Students will use models to show tenths and hundredths, identify, read, and write tenths and hundredths as decimals and fractions, identify, read, and write decimals greater than 1, solve problems by making a model, locate fractions and decimals on a number line, compare and order decimals, choose the best strategy to solve a problem, find fraction and decimal equivalents, compare and order decimals, fractions, and mixed numbers. Vocabulary: decimal, decimal point, hundredth, tenth
 * Unit 14: Using Place Value to Represent Decimals**

Students will round decimals, estimate decimal sums and differences, solve problems by working backward, use models to add decimals, add decimals, choose the best strategy to solve a problem, use models to subtract decimals. Vocabulary: addend, decimal, decimal point, estimate, sum
 * Unit 15: Adding and Subtracting Decimals**

Check out these following web sites. Some are informational and some are interactive. [|4th Grade Math Skills by Category (interactive)]