Fourth Grade Math Course Map--2013

Transcription

1 Course Title: 4 th Grade Math Fourth Grade Math Course Map Duration: one school year Frequency: Daily, 75 minutes Year: 2013 Text: Houghton Mifflin Mathematics 4 Other materials: teacher-generated worksheets; Houghton Mifflin Mathematics 4 Teacher s Resource Book worksheets for concepts and facts practice; number cubes for, flashcards Areas to be evaluated: -Mastery of basic addition, subtraction, multiplication, and division facts required in these operations involving larger numbers. Timed quizzes and tests are used to evaluate. -unit objectives (listed below) through teacher- directed whiteboard practice, daily assignments, and unit tests Additional activities: facts practice, number cubes Course objectives: -reflect God s precision in His world when they calculate and measure accurately. Honesty, good stewardship of time and resources, and solving of real-life problems require accuracy. -develop problem solving skills -perform mathematic operations with multiple digit numbers -use mathematic operations to solve real-life problems Course explanation: Math facts, properties, and rules are truths which do not change just as God is truth and does not change. To be a good steward of resources given by God, one must be able to accurately work with numbers at an efficient pace. Accuracy in planning, measurement, and record keeping improve efficiency and effectiveness in work and help in decisionmaking. Unit:Place Value and Money Time frame: 13 days 2 sets of practice bills and coins Unit objectives Chapter 1 -Read, write, compare, and order numbers through millions -Estimate a number by rounding it -Decide if a number is an estimated or exact amount -Solve problems by using logical thinking -Count and compare amounts of money -Make change for a purchase -Solve problems involving money of concepts. Students practice counting change from a given bill using practice bills and coins.

2 Biblical Integration: Large numbers are necessary to measure and describe the expanse and quantities found in God s creation. Good stewardship of money and honesty require accurate counting and accounting. Students learn correct method for expressing whole numbers using words and punctuation. Generalize place value understanding for multi- digit whole numbers. 4.NBT.1. Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. 4.NBT.2. Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. 4.NBT.3. Use place value understanding to round multi-digit whole numbers to any place. Unit: Addition and Subtraction Time frame: 15 days Flashcards with facts; timed fact quizzes Unit objectives Chapter 2 -Use properties of addition -Add and subtract three-, four-, and five-digit whole numbers -Estimate sums and differences -Write expressions and equations, use addition and subtraction to evaluate expressions and solve equations -Simplify expressions -Analyze and solve problems using strategies

3 Biblical Integration: -Man was created by God with 10 fingers (fingers and thumbs). This was the beginning of our bas 10 number system. Base 10 system is used in regrouping for addition and subtraction of larger numbers. -We find solutions for variables based on what is given. In the same way, we find answers to the uncertainties in life based on the certainties given in God s Word. -scores on fact quizzes 4.NBT.4. Fluently add and subtract multi-digit whole numbers using the standard algorithm. 4.NBT.1. Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. 4.NBT.2. Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. 4.NBT.3. Use place value understanding to round multi-digit whole numbers to any place. 4.OA.3. Solve multistep word problems posed with whole numbers and having whole-number answers using addition and subtraction. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. Unit: Relating Multiplication and Division Time frame: 17 days Flashcards with facts, drill sheets for facts Unit objectives Chapter 3 -Multiply and divide by 2,3,4,5,6,7,8,9, or 10 -Use properties and rules of multiplication and division -Use multiplication and division to solve problems and equations -Write expressions and equations and solve equations -Evaluate multiplication and division expressions with variables -Analyze and solve problems using skills and strategies

4 Biblical Integration: Multiplication and division tables, properties, and rules are mathematical truths which do not change just as God is truth and does not change. 4.OA.1. Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations. 4.OA.2. Multiply or divide to solve word problems involving multiplicative comparison. 4.OA.3. Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. 4.NBT.5. Multiply a whole number of up to four digits by a onedigit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 4.NBT.6. Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

5 Unit: Multiplication of Whole Numbers Time frame: 17 days flashcards with facts Unit objectives Chapter 4 -Multiply one-, two-, three-, and four-digit numbers by one-digit numbers and estimate products -Multiply two- and three-digit numbers by two-digit numbers -Analyze and solve problems using skills and strategies Biblical Integration: -Multiplication and division tables, properties, and rules are mathematical truths which do not change just as God is truth and does not change. - Man was created by God with 10 fingers (fingers and thumbs). This was the beginning of our bas 10 number system. Base 10 system is used in regrouping for addition and subtraction of larger numbers. -When faced with situations where mathematical information is required, the ability to multiply will allow us to be good stewards of time God has given us. 4.NBT.5. Multiply a whole number of up to four digits by a onedigit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Unit: One-Digit Divisors Time frame: 17 days Unit objectives Chapter 5 -Divide two-, three-, four-digit dividends by one-digit divisors -Apply divisibility rules for division by 2, 5, and 10 -Identify prime and composite numbers -Find the average of a set of numbers

6 -Analyze and solve problems using skills and strategies Biblical Integration: Honesty and good stewardship of money require accurate counting and accounting; providing for and being considerate of others often requires the skill of division 4.OA.2. Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. 4.OA.4. Find all factor pairs for a whole number in the range Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range is a multiple of a given one-digit number. Determine whether a given whole number in the range is prime or composite. 4.NBT.6. Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Unit: Measurement and Negative Numbers Time frame: 17 days Containers representing the standard volumes of cup, pint, quart, and gallon to illustrate concept of volume Unit objectives Chapter 6 -Measure lengths and find perimeters using customary and metric units -Convert among units of capacity and weight (mass) and choose the most appropriate unit to measure for customary and metric units of capacity and mass -Read temperature above and below zero using degrees Fahrenheit and Celsius -Find differences between Fahrenheit temperatures and Celsius

7 temperatures -Analyze and solve problems using skills and strategies Biblical Integration: Honesty, good stewardship of time, and solving real life problems require accurate measurement. Christians must delight in fair, accurate measurement because God delights in just weights. Christians can reflect God s precision in His world when they measure carefully and make honest representations (charts, graphs, etc.) 4.MD.1. Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit... 4.MD.2. Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems that require expressing measurements given in a larger unit in terms of a smaller unit. 4.MD.3. Apply the perimeter formula for rectangles in real world and mathematical problems. Unit: Fractions and Mixed Numbers Time frame: 17 days fraction wrap-ups and flashcards Unit objectives Chapter 7 -Represent regions, a set, or a number with a fraction or mixed number -Find equivalent fractions -Compare and order fractions -Add and subtract fractions with like denominators -Write mixed numbers -Add and subtract mixed numbers

8 -Change improper fractions to mixed numbers -Change mixed numbers to improper fractions - Analyze and solve problems using skills and strategies of concepts; review of fraction concepts with flashcards in individual practice and competitive Biblical Integration: Serving others and showing hospitality often requires food preparation involving recipes with fractions and mixed numbers. Sharing of some items involves use of fractions. 4.NF.2. Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <. 4.NF.3. Understand a fraction a/b with a > 1 as a sum of fractions 1/b. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = /8 = 8/8 + 8/8 + 1/8. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction. 4.NF.5. Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add

9 two fractions with respective denominators 10 and For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100. Unit: Decimals Unit objectives Chapter 8 Time frame: 16 days -Write fractions and mixed numbers as decimals -Write decimals as fractions and mixed numbers -Compare and order fractions, mixed numbers, and decimals -Add and subtract decimals -Round decimals and estimate sums and differences of decimals - Analyze and solve problems using skills and strategies of concepts. Biblical Integration: Honesty and good stewardship of money require accurate counting and accounting. Accuracy in planning, measurement, and record keeping improve efficiency and effectiveness in work and in making decisions. Christians can reflect God s precision in His world when they measure carefully and make honest representations (charts, graphs, etc.) 4.NF.6. Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram. 4.NF.7. Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the Unit: Statistics and Probability Time frame: 11 days Unit objectives Chapter 9 -Find mean, median, and mode of numerical data -Make, read, and interpret a bar graph -Read a line graph

10 -Describe the probability of an event and determine the number of possible outcomes in an experiment - Analyze and solve problems using skills and strategies Biblical Integration: Christians can reflect God s precision in His world when they measure carefully and make honest representations (charts, graphs, etc.). Accuracy in planning, measurement, and record keeping improve efficiency and effectiveness in work and in making decisions. Represent and interpret data. 4.MD.4. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection. Unit: Geometry and Measurement Time frame: 13 days Unit objectives Chapter 10 -Identify shapes using geometric terms -Use measurement to describe and compare the sizes of these shapes -Identify congruent figures and figures with line and rotational symmetry -Find perimeter and area -Identify solid geometric figures -Find the surface area and volume of a rectangular prism -Analyze and solve problems using skills and strategies

11 of concepts; review of basic facts Biblical Integration: -Concrete usages in God s creation: 1) Geometry, symmetry, and geometric solids follow consistent rules and are useful for measurement, calculations, design, and construction. 2) Units of measurement are precise (length, width, height, depth, time, volume, mass). God used precise units of measurement to communicate the dimensions of the ark and the tabernacle. -Christians can reflect god s precision in His world when they represent measurements and amounts accurately and make honest representations (charts, graphs, etc.). 4.MD.5. Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint 4.G.1. Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures. 4.G.2. Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. 4.G.3. Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.