Lee County Schools Concept/Unit Map Mathematics Grade 4

Transcription

1 Unit #1 : Place Value The value of a digit is determined by its position in a number. There are many ways to represent the same number. How does place value help us understand numbers? Concept Concept Concept Concept Values of digits Forms of Numbers Comparing and Ordering Numbers Rounding 4.NBT.1 4.NBT.3 Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s): How does the position of a digit in a number affect its value? 4.NBT.1 How can you describe the value of a digit? 4.NBT.1 place, value, base-ten How can you represent the same number in different ways? How can place value be used to compare and order numbers? When is estimation useful? 4.NBT.3 How can you compare and order numbers? Vocabulary Vocabulary Vocabulary Vocabulary base-ten numerals (standard form), number inequality, greater than (>), less than (<), equal estimate names (word form), expanded form to (=) Instructional Suggestions Instructional Suggestions Instructional Suggestions Instructional Suggestions Unit Assessment Resources Go Math Chapter 1 Investigations Unit 5

2 Unit #2: Addition and Subtraction There are procedures for performing mathematical operations to ensure that the values obtained will be consistent. There are various strategies that can help solve difficult problems. Unit Essential Question(s): How can place value properties aid computation? Concept Concept Concept Concept Number Patterns Standard Algorithm of Addition Standard Algorithm of Subtraction Problem Solving Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s): What strategies can be used to solve patterns? What are efficient methods for finding sums? How can you add whole numbers? What are efficient methods for finding differences? How can you subtract whole numbers? What questions can be answered using addition and subtraction? Vocabulary Vocabulary Vocabulary Vocabulary sequence sum, algorithm difference operation, equation, unknown variable Instructional Suggestions Instructional Suggestions Instructional Suggestions Instructional Suggestions Unit Assessment Resources Go Math Chapter Investigations Unit

3 Unit #3: Multiplication Multiplication can be represented by equal-sized groups, arrays, area-models, and repeated addition. There are various strategies and procedures for fluently multiplying whole numbers. Unit Essential Question(s): What multiple representations and various strategies can be used to solve multiplication problems? Concept Concept Concept Concept Concept Multiplicative Comparisons Number Patterns Factors and Multiples Multi-digit Multiplication Problem Solving 4.OA.1 4.OA.4 4.NBT.5, 4.NBT.1 4.OA.1, 4.OA.2, Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s): How can you compare numbers using multiplication? 4.OA.1 How can you model multiplication comparison? 4.OA.1 What strategies can be used to solve multiplication patterns? How are factors and multiples related? 4.OA.4 What are efficient methods and strategies for finding products? 4.NBT.5, 4.NBT.1 How can multiplication be used to answer questions? 4.OA.1, 4.OA.2, Vocabulary Vocabulary Vocabulary Vocabulary Vocabulary multiplicative comparison, product skip counting factors, multiples, prime, composite, arrays multiply, factors, product, equation, array, model, place value, multiplier number sentence, inverse operation, value of x, repeated addition, number patterns, associative property, identity property, addends, subtrahends Instructional Suggestions Instructional Suggestions Instructional Suggestions Instructional Suggestions Instructional Suggestions

4 Unit #4: Division Division is related to multiplication. There are various strategies and procedures for dividing whole numbers. Unit Essential Question(s): How can you use multiplication facts to help solve division problems? How can you relate operations of whole numbers and decimals to its inverse. Concept Concept Concept Interpreting Remainders Multi-Digit Division Problem Solving 4.NBT.1, 4.NBT.6 4.OA.2,,, 4.NBT.1, 4.MD.2 Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s): How do remainders affect your answers? How can you use models to divide whole numbers that do not divide evenly? quotient, divisor, dividend, remainder What are efficient methods and strategies for finding quotients? 4.NBT.1, 4.NBT.6 How can division be used to answer questions? 4.OA.2,,, 4.NBT.1, 4.MD.2 Vocabulary Vocabulary Vocabulary larger, greater than, less than, equal, greatest, least, longest, shortest, value, place value, digit, whole number, dividend, divisor, remainder, equal groups, multiplication, arrays, quotient number sentence, inverse operation, repeated addition, number patterns, associative and identity property, addend, subtrahend, value of x Instructional Suggestions Instructional Suggestions Instructional Suggestions

5 Unit #5: Fractions Fractions with different numerators and different denominators can be equivalent when the fractions refer to the same whole. Fractions are built from unit fractions using the operations of addition and multiplication. How do you explain the meaning of a fraction and its numerator and denominator, and use your understanding to represent and compare fractions? Concept Concept Concept Concept Concept Comparing and Ordering Equivalent Fractions Adding and Subtracting Multiplying Fractions Problem Solving Fractions 4.NF.1 Fractions 4.NF.4,4.NF.4a 4.NF.4c, 4.MD.2, 4.MD.4, NF.2, 4.MD.4 4.NF.3d, 4.NF.5, 4.NF.3a, 4.NF.3b,4.NF.3c Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s): What are different strategies for comparing and ordering fractions? How can you compare fractions? How can you order fractions? How can a fraction look different but still be the same? How can you use models to show equivalent fractions? How do we combine and separate fractions? When can you add/subtract parts of a whole? How do I use various strategies to add and subtract mixed numbers with like denominators? How can you rename mixed numbers as a fraction greater than 1 and rename fractions greater than 1 as mixed numbers? How can multiplying fractions by a whole number be modeled using a unit fraction? How are fractions used in real-life? How can I determine the outcome of an event in real world situations? Vocabulary Vocabulary Vocabulary Vocabulary Vocabulary whole, unit fraction, denominator, numerator, common denominator, benchmark fraction equivalent decompose, compose, like denominators, mixed numbers, improper fraction Instructional Suggestions Instructional Suggestions Instructional Suggestions Instructional Suggestions Instructional Suggestions Resources

6 Unit #6 : Fractions and Decimals Parts of a whole can be represented with fractions and decimals. How are fractions and decimals related? Concept Concept Concept Equivalence of Fractions and Decimals 4.NF.6 Comparing and Ordering Decimals 4.NF.7 Problem Solving and Money 4.MD.2 Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s): How can you represent the same number in different ways? How would you compare and order whole numbers, fractions, and decimals through the hundredths place? How are fractions and decimals used in real-life? Vocabulary Vocabulary Vocabulary tenths, hundredths, decimals, equivalent compare, order Instructional Suggestions Instructional Suggestions Instructional Suggestions

7 Unit #7 : Measurement Objects and events can be measured in different ways using various standard units of measure. What is the purpose of measurement? Concept Concept Concept Concept Concept Customary Units of Metric System Area and Perimeter Time Line Plot and ordered Measurement 4.MD.1, 4.MD.4 4.MD.3 4.MD.1, 4.MD.2, 4.13 pairs 4.MD.1, 4.MD.4 4.MD.4, 4.12 Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s): How do units within a system relate to each other? How do units within a system relate to each other? What is the difference between area and perimeter? What are different strategies for calculating intervals of time? How can I use ordered pairs to help me find a location on a map or grid? Vocabulary Vocabulary Vocabulary Vocabulary Vocabulary customary units, capacity, weight, length, gallon, quart, pint, cup, fluid ounces, pound, ounce, pound, ounce, inch, feet, yard, miles, mass, liquid, volume kilometer, meter, centimeter, millimeter, kilogram, gram, liters, milliliters formula, square units, length, width, dimension intervals of time, hour, second, minutes, elapsed time graph, line plot, equivalent fraction, numerator, denominator, categorical, data, sum, differences, bar graph, line graph, pictograph, histogram Instructional Suggestions Instructional Suggestions Instructional Suggestions Instructional Suggestions Instructional Suggestions Resources

8 Unit #8 : Geometry The properties of geometric figures determine how the figures can be described, analyzed, compared, and classified. How can two-dimensional figures be represented and compared using geometric properties? Concept Concept Concept Concept Two-Dimensional Figures Angles Symmetry Geometric Patterns 4.G.1, 4.G.2 4.MD.5, 4.MD.5a, 4.MD.5b, 4.MD.6, 4.MD.7 4.G.3 Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s): How do we classify two-dimensional figures? How are angles classified and measured? How do you identify if a shape has a line or lines of symmetry? What strategies can be used to solve geometric patterns? Vocabulary Vocabulary Vocabulary Vocabulary parallel, perpendicular, angle, point, ray, right angle, acute angle, obtuse angle, symmetry, line of symmetry, congruent patterns line, line segment, endpoint, intersecting lines, properties protractor, degrees, right triangle, circular arc Instructional Suggestions Instructional Suggestions Instructional Suggestions Instructional Suggestions Unit Assessment

9 Unit #9: Transition Unit 1. Geometry 2. Fractions 3. Measurement How can polygons, triangles, and quadrilaterals be described, classified, and named? How can you use multiple strategies and models to add and subtract fractions with unlike denominators? How can you convert, display, and analyze customary and metric units of measurement? Concept Concept Concept Symmetry, Polygons, Triangles, and Quadrilaterals 4.G.3 Adding and Subtracting Fractions 4.NF.3d, 4.NF.5, 4.NF.3a, 4.NF.3b,4.NF.3c Area and Perimeter and Customary Units 4.MD.3, 5.MD.1, 5.MD.2 Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s): How do you identify if a shape has a line or a line of symmetry? How can you identify and classify polygons? How can you add fractions with unlike denominators using multiple reasonings? How can you add mixed numbers with unlike What is the difference between area and perimeter? What are metric and customary units and how are they related? denominators using multiple reasonings? How can you subtract fractions with unlike denominators using multiple reasonings? How can you subtract mixed numbers with unlike denominators using multiple reasonings? Vocabulary Vocabulary Vocabulary Symmetry, line of symmetry, congruent sum, difference, common multiple formula, square units, length, width, dimension, foot, yard, inch, mile, gallon, cup, quart, fluid ounces Instructional Suggestions Instructional Suggestions Instructional Suggestions