4 th Grade Math Notebook


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1 4 th Grade Math Notebook By: Aligned to the VA SOLs
2
3 Table of Contents Quarter 1
4 Table of Contents Quarter 2
5 Table of Contents Quarter 3
6 Table of Contents Quarter 4
7 Hundred Millions Ten Millions Millions Hundred Thousands Ten Thousands Thousands Hundreds Tens Ones Place Value Chart Millions Thousands Ones 3 7 4, 5 0 9, Numbers to Spell One Nine Seventeen Seventy Two Ten Eighteen Eighty Three Eleven Nineteen Ninety Four Twelve Twenty Hundred Five Thirteen Thirty Thousand Six Fourteen Forty Million Seven Fifteen Fifty Billion Eight Sixteen Sixty Trillion
8 4.1 Writing Numbers Standard Form uses 7,346 Word Form uses Seven thousand, three hundred forty six. You try! Standard Form 1,231,753 Word Form Twenty five million, eightysix thousand, nine hundred thirtyfive. Three hundred fortytwo million, nine hundred twelve thousand, fortythree. 25,973,419
9 4.1 Comparing Numbers Greater than  Less than  Equal to  Step 1: Start at the left. Compare digits in the same place. Step 2: Compare the next digits to the right. 3,512,756 3,512,104 32,256,453 34,246,543 1,753,212 1,753,329 4,287,972 42, , ,983
10 4,1 Rounding Whole Numbers Step 1: Find the rounding place and underline it. Step 2: Circle the number to the right. Step 3: Round if the number you circled is 5 or greater. Round if the number you circled is 4 or less. **Rounding up means the underlined number increased by. **Rounding down means the underlined number stays the. Try It Out Round to the thousands place 5,873 82,149 Round to the ten thousands place 34, ,361 Round to the hundred thousands place 735,743 4,586,321 Round to the millions place 6,451,980 45,236,555
11 4.2 Fractions of a Whole Numerator Denominator The tells how many parts are shaded or answers a question, and the tells how many parts are in the whole. Name the shaded and unshaded region for each. Shaded = Unshaded = Shaded = Unshaded =
12 4.2 Fractions of a Set Numerator Denominator The tells how many items are shaded or answers a question, and the tells total number of items in the set. What is the fraction of stars in each set?
13 4.2 Equivalent Fractions Always multiply or divide the and by the number to get an equivalent fraction. You Try:
14 4.2 Comparing Fractions 1. Draw pictures of the fractions 2. If pictures don t work Find common denominators Write equivalent fractions Compare
15 4.2 Ordering Fractions Greatest Least Least Greatest
16 4.2 Fractions as a Division Statement = 3 divided by 5 = 3 5 = 5 3 Circle all of the division statements that apply for the fraction below. 4 divided by divided by divided by divided by divided by divided by 8 8 3
17 4.3 Decimal Place Value One Whole One Tenth One Hundredth /1 1/10 1/100 Write the word, decimal, and fraction for each picture. Word: Decimal: Fraction: Word: Decimal: Fraction: Word: Decimal: Fraction:
18 Ones AND Tenths Hundredths Thousandths 4.3 Decimal Place Value Chart Write each number in word form
19 4.3 Comparing Decimals 1. Line up the decimals 2. Compare the numbers starting LEFT to RIGHT 3.42 _<_ You Try:
20 4.3 Rounding Decimals Step 1: Underline the rounding place. Step 2: Circle the number to the right. Step 3: Round up it the number your circled is 5 or greater. Round down if the number is 4 or less. **Rounding up means the underlined number increased by. **Rounding down means the underlined number stays the. Try It Out Round to the tenths place Round to the hundredths place Round to the whole number
21 4.4 Estimating Sums and Differences of Whole Numbers Step 1: Round each whole number to the place asked. If there is no place that is asked, round to the greatest place. Round to the Thousands Place 75, ,923 Step: 2: Find the sum or difference. Try it out! Round to the Ten Thousands Place 54,532 78, ,49532,632 Round to the Greatest Place 83, ,
22 4.4 Multiplying by TwoDigit Numbers Step 1: Multiply by the ones. 18 x x 2 = 36 Step 2: Multiply by the tens. Use 0 as a placeholder for the ones place. 18 x x 4 = 72 **Don t forget your placeholder! Step 3: Add the partial product. Try It Out! 18 x x 18 x x 21 x 19
23 4.4 Long Division 8 1,254 R Steps to Division Does Divide McDonalds Multiply Sell Subtract Cheese Check your work Burgers? Bring down and start over again!
24 4.4 Estimating Quotients Step 1: Round the dividend to a number that is compatible with the divisor. Step 2: Divide. Example: = = 80 You try:
25 4.5 Factors and Multiples X = Greatest Common Factor 24: 1, 2, 3, 4, 6, 8, 12, 24 36: 1, 2, 3, 4, 9, 12, 18, 36 Find the Greatest Common Factor for each set below. 40: GCF: 24: 16: GCF: 28: Least Common Multiple 3: 3, 6, 9, 12, 15, 18, 21 5: 5, 10, 15, 20, 25, 30 Find the Greatest Common Factor for each set below. 3: LCM: 4: 6: LCM: 8:
26 4.5 Adding Fractions and Mixed Numbers with Unlike Denominators Step 1: Find the Least Common Denominator : 5: Step 2: Find Equivalent Fractions Step 3: Add the Fractions Step 4: Simplify
27 4.5 Subtracting Fractions and Mixed Numbers with Unlike Denominators Step 1: Find the Least Common Denominator : 3: Step 2: Find Equivalent Fractions Step 3: Subtract the Fractions Step 4: Simplify
28 4.5 Sums and Differences of Decimals Step 1: Line of the Decimals Step 2: Add or Subtract Find the Sum Find the Difference Solve each = = = =
29 Measurement Notes Length Weight/Mass Capacity/Volume (Liquid) Customary Metric Tools Word Bank: Units: Inches Feet Yards Miles Centimeter Meter Ounces Tons Pounds Pint Cups Fluid Ounces Gallons Grams Kilograms Millimeter Tools: Ruler Yard stick Scale Measuring Cup Tape Measure Balance Measuring spoon Medicine Cup Meter Stick
30 4.6 Weight Notes Customary ounces = 1 pound pounds = 1 Ton Metric grams = 1 kilogram You try: 5 pounds = ounces 3 Tons = pounds 8,000 pounds = Tons 32 ounces = pounds 5,000 grams = kilograms 8 kilograms = grams 2,000 grams = kilograms 12 kilograms = grams
31 4.7 Using a Ruler Measure the line the nearest inch. Measure the pencil to the nearest inch.
32 4.7 Length Notes Customary inches = 1 foot feet = 1 yard yards = 1 mile Metric millimeters = 1 centimeter centimeters = 1 meter millimeters = 1 meter You try: 5 ft = in 3 miles = yards 12 feet = yards 7 yards = feet 5,000 millimeters = meters 8 centimeters = millimeters 4 meters = centimeters 2 meters = millimeters
33 4.8 Liquid Volume Notes
34 4.9 Time Record the time for each clock below. Clock 1 Clock 2 Clock 3 Elapsed Time Elapsed Time  Time that between two events. Stephanie left her house at time on clock 1 and arrived at the beach 3 hours and 10 minutes later. What time did she arrive at the beach? Marvin s soccer practice started at the time on clock 2. His practice lasted 2 hours and 30 minutes. What time did his practice end? Ms. Pomilla left her house at the time on clock 3. She arrived at school at 6:12. How long did it take her to get to school?
35 4.10 Geometry (Lines) Name each (Point Line segment, Line, Ray, Angle) Name each (Parallel, Perpendicular, and Intersecting)
36 4.11 Geometric Transformations Congruent figures have the size and shape, but may be in a different position. is when a figured is moved a specific number of points. is when a figured is flipped over a line of reflection. is when a figured is turned around a specific point. Identify each (Translation, Reflection, Rotation)
37 4.12 Polygons Polygon Name Number of Angles Number of Sides
38 4.12 Quadrilaterals Notes Square  sets of parallel sides, congruent sides, and right angles. Rectangle  sets of parallel sides and rights angles. Parallelogram  sets of parallel sides. Rhombus  sets of parallel sides; equal sides. Trapezoid  set of parallel sides. Name each quadrilateral
39 Work Bank: 4.13 Probability Certain, Equally Likely, Impossible, Likely, Unlikely What is the probability of choosing a red gumball? Draw 10 gumballs Pink = Likely Green = Equally Likely Blue = Equally Likely Yellow = Unlikely Red = Impossible
40 4.13 Probability on a Number Line Between 0 and 1 0 ¼ ½ ¾ 1 Impossible Unlikely Equally likely Likely Certain Place a point on the number line to answer the question. What is the probability of getting heads when flipping a coin? 0 ¼ ½ ¾ 1 Impossible Unlikely Equally likely Likely Certain What is the probability rolling a 3 on a six sided number cube? 0 ½ 1 What is the probability rolling a number greater than 4 on a six sided number cube? 0 ½ 1 What is the probability rolling a 7 on a six sided number cube? 0 ½ 1
41 Cost (in cents) 4.14 Bar Graphs Make a bar graph using this information. Milk Prices Year Price 2006 $ $ $ $ $ Milk Prices Year The price of milk typically each year. A. Decreases B. Increases C. Stays the same Which year had the lowest cost of milk? What is the difference between the cost of milk in 2006 and 2010?
42 4.14 Line Graphs Create a graph to show the morning temperatures for a five day period. Day Temperature Monday 75 Tuesday 70 Wednesday 85 Thursday 80 Friday Morning Temperatures Monday Tuesday Wednesday Thursday Friday The morning temperature on Saturday was 84 F. Based on the data in this graph, which day had a temperature closest to Saturday s temperature? Which day had the lowest morning temperature? What is the difference between the morning temperature on Monday and the morning temperature on Friday?
43 4.15 Geometric Patterns A geometric pattern is a pattern with repeating. Directions: Can you find a pattern? Draw the next three shapes in the pattern. Draw the next 6 shapes in the pattern. Create your own geometric pattern. Have a partner draw the next three shapes.
44 4.15 Number Patterns A number pattern is a pattern that uses numbers. At least one mathematical operation is used:,,, or. Directions: Continue the number pattern below. 6, 12, 18, 24,,, What is the rule? 1, 2, 4, 8,,, What is the rule? 21, 31, 41,,, What is the rule? Create your own number pattern. Have a partner identify the next three numbers and the rule.
45 4.15 Number Line Patterns A number line pattern is a pattern on a. Name the next three numbers on the number line Create your own number line pattern. Have a partner identify the next three numbers.
46 4.15 Input Output Tables InputOutput tables are used to show patterns. Patterns in these tables MUST move from to. Find the missing numbers and identify the rule. ** The rule must be true for each line, and must be read left to right. Rule: Rule: Rule: Rule:
47 4.16 Equality A balanced equation equals the same number on both sides = 324 x 3 = 2 x 9 x 4 = 3 x = = 3 x = = 3 x = 7 x 4 28 = 28
48 4.16 Properties of Addition Commutative Property of Addition Changing the does not change the = = You try: = = = + 5 Create your own example Associative Property of Addition Changing the does not change a You try: 5 + (3 + 4) = (5 + 3) (8 + 4) = (2 + ) (2 + 6) = (5 + ) + 6 Create your own example
49 4.16 Properties of Multiplication Commutative Property of Multiplication Changing the does not change the 6 x 5 5 x 6 = 6 x 5 = 5 x 6 You try: 5 x 3 = x 5 4 x 7 = 7 x 5 x 10 = x 5 Create your own example Associative Property of Multiplication Changing the does not change a You try: 5 x (3 x 4) = (5 x 3) x 4 2 x (8 x 4) = (2 x ) x 4 5 x (2 x 6) = (5 x ) x 6 Create your own example
50 4 th Grade Math Notebook Teacher s Copy Aligned to the VA SOLs
51
52 SAMPLE Table of Contents Quarter 1 Unit 1 Working with Patterns: Geometric Patterns Page 1 Number Patterns Page 2 Number Line Patterns Page 3 Input Output Patterns Page 4 Unit 2 Place Value: Place Value Chart Page 5 Writing Numbers Page 6 Comparing Numbers Page 7 Rounding Whole Numbers Page 8 Unit 3 Working with Fractions and Decimals: Fractions of a Whole Page 9 Fractions of a Set Page 10 Equivalent Fractions Page 11 Comparing Fractions Page 12 Ordering Fractions Page 13 Fractions as a Division Statement Page 14 Decimal Place Value Page 15 Decimal Place Value Chart Page 16 Comparing Decimals Page 17 Rounding Decimals Page 18
53 SAMPLE Table of Contents Quarter 2 Unit 4 Computation with Whole Numbers: Estimating Sums and Differences Page 19 Multiplying by TwoDigit Numbers Page 20 Long Division Page 21 Estimating Quotients Page 22 Equality Page 23 Properties of Additions Page 24 Properties of Multiplication Page 25 Unit 5 Adding and Subtracting Fractions and Decimals: Factors and Multiples Page 26 Adding Fractions and Mixed Numbers Page 27 Subtracting Fractions and Mixed Numbers Page 28 Sums and Differences of Decimals Page 29
54 SAMPLE Table of Contents Quarter 3 Unit 6 Measurement: Measurement Notes Page 30 Weight Notes Page 31 Using a Ruler Page 32 Length Notes Page 33 Liquid Volume Notes Page 34 Unit 7 Elapsed Time: Time Page 35 Unit 8 Working with Geometry: Geometry (Lines) Page 36 Geometric Transformations Page 37 Polygons Page 38 Quadrilateral Notes Page 39
55 SAMPLE Table of Contents Quarter 4 Unit 9 Graphing: Bar Graphs Page 40 Line Graphs Page 41 Unit 10 Working with Probability: Probability Page 42 Probability on a Number Line Page 43
56 Hundred Millions Ten Millions Millions Hundred Thousands Ten Thousands Thousands Hundreds Tens Ones Place Value Chart Millions Thousands Ones 3 7 4, 5 0 9, Numbers to Spell One Nine Seventeen Seventy Two Ten Eighteen Eighty Three Eleven Nineteen Ninety Four Twelve Twenty Hundred Five Thirteen Thirty Thousand Six Fourteen Forty Million Seven Fifteen Fifty Billion Eight Sixteen Sixty Trillion
57 4.1 Writing Numbers Standard Form uses numbers 7,346 Word Form uses words Seven thousand, three hundred forty six. You try! Standard Form Word Form 1,231,753 One million, two hundred thirtyone thousand, seven hundred fiftythree 25,086,953 Twenty five million, eightysix thousand, nine hundred thirtyfive. 342,912,043 Three hundred fortytwo million, nine hundred twelve thousand, fortythree. 25,973,419 Twentyfive million, nine hundred seventythree thousand, four hundred nineteen
58 4.1 Comparing Numbers Greater than  Less than  Equal to  Step 1: Start at the left. Compare digits in the same place. Step 2: Compare the next digits to the right. 3,512,756 3,512,104 32,256,453 34,246,543 1,753,212 1,753,329 4,287,972 42, , ,983
59 4,1 Rounding Whole Numbers Step 1: Find the rounding place and underline it. Step 2: Circle the number to the right. Step 3: Round up if the number you circled is 5 or greater. Round down if the number you circled is 4 or less. **Rounding up means the underlined number increased by _one_. **Rounding down means the underlined number stays the _same_. Try It Out Round to the thousands place 5,873 6,000 82,149 82,000 Round to the ten thousands place 34,932 30, , ,000 Round to the hundred thousands place 735, ,000 4,586,321 4,600,000 Round to the millions place 6,451,980 6,000,000 45,236,555 45,000,000
60 4.2 Fractions of a Whole Numerator Denominator The numerator tells how many parts are shaded or answers a question, and the denominator tells how many parts are in the whole. Name the shaded and unshaded region for each. Shaded = Unshaded = Shaded = Unshaded =
61 4.2 Fractions of a Set Numerator Denominator The numerator tells how many items are shaded or answers a question, and the denominator tells total number of items in the set. What is the fraction of stars in each set?
62 4.2 Equivalent Fractions Always multiply or divide the numerator and denominator by the same number to get an equivalent fraction. You Try:
63 4.2 Comparing Fractions 1. Draw pictures of the fractions 2. If pictures don t work Find common denominators Write equivalent fractions Compare
64 4.2 Ordering Fractions Greatest Least Least Greatest
65 4.2 Fractions as a Division Statement = 3 divided by 5 = 3 5 = 5 3 Circle all of the division statements that apply for the fraction below. 4 divided by divided by divided by divided by divided by divided by 8 8 3
66 4.3 Decimal Place Value One Whole One Tenth One Hundredth /1 1/10 1/100 Write the word, decimal, and fraction for each picture. Word: Forty hundredths Decimal: 0.4 or 0.40 Fraction: Word: Eight hundredths Decimal: 0.08 Fraction: Word: Seventyfive Decimal: 0.4 or 0.40 Fraction:
67 Ones AND Tenths Hundredths Thousandths 4.3 Decimal Place Value Chart Write each number in word form Four and eightyseven hundredths 3.2 Three and two tenths 1.07 One and seven hundredths Seven and three hundred ninetyone thousandths Two and twenty five thousandths
68 4.3 Comparing Decimals 1. Line up the decimals 2. Compare the numbers starting LEFT to RIGHT 3.42 _<_ You Try: 2.9 > < _< < 71.8
69 4.3 Rounding Decimals Step 1: Underline the rounding place. Step 2: Circle the number to the right. Step 3: Round up it the number your circled is 5 or greater. Round down if the number is 4 or less. **Rounding up means the underlined number increased by one. **Rounding down means the underlined number stays the same. Try It Out Round to the tenths place _ Round to the hundredths place Round to the whole number
70 4.4 Estimating Sums and Differences of Whole Numbers Step 1: Round each whole number to the place asked. If there is no place that is asked, round to the greatest place. Round to the Thousands Place 75, ,923 Step: 2: Find the sum or difference. Try it out! Round to the Ten Thousands Place 54,532 78, ,49532,632 80,000 60,000 Round to the Greatest Place 83, , ,
71 4.4 Multiplying by TwoDigit Numbers Step 1: Multiply by the ones. 18 x x 2 = 36 Step 2: Multiply by the tens. Use 0 as a placeholder for the ones place. 18 x x 4 = 72 **Don t forget your placeholder! Step 3: Add the partial product. Try It Out! 18 x x 18 x , x 21 x 19 1,512 1,615
72 Quotient 4.4 Long Division R Remainder Divisor 8 1,254 Dividend Steps to Division Does Divide McDonalds Multiply Sell Subtract Cheese Check your work Burgers? Bring down and start over again!
73 4.4 Estimating Quotients Step 1: Round the dividend to a number that is compatible with the divisor. Step 2: Divide. Example: = = 80 You try: = = 70
74 4.5 Factors and Multiples Factor X Factor = Product Greatest Common Factor 24: 1, 2, 3, 4, 6, 8, 12, 24 36: 1, 2, 3, 4, 9, 12, 18, 36 Find the Greatest Common Factor for each set below. 40: 1, 2, 4, 5, 8, 10, 20, 40 GCF: 8 24: 1, 2, 3, 4, 6, 8, 12, 24 16: 1, 2, 4, 8, 16 GCF: 4 28: 1, 2, 4, 7, 14, 28 Least Common Multiple 3: 3, 6, 9, 12, 15, 18, 21 5: 5, 10, 15, 20, 25, 30 Find the Greatest Common Factor for each set below. 3: LCM: 12 4: 6: LCM: 24 8:
75 4.5 Adding Fractions and Mixed Numbers with Unlike Denominators Step 1: Find the Least Common Denominator : 5: Step 2: Find Equivalent Fractions Step 3: Add the Fractions Step 4: Simplify Not needed for this problem.
76 4.5 Subtracting Fractions and Mixed Numbers with Unlike Denominators Step 1: Find the Least Common Denominator : 3: Step 2: Find Equivalent Fractions Step 3: Subtract the Fractions Step 4: Simplify Not needed for this problem.
77 4.5 Sums and Differences of Decimals Step 1: Line of the Decimals Step 2: Add or Subtract Find the Sum Find the Difference 0.62 Solve each = = = = 6.55
78 Measurement Notes Length Weight/Mass Capacity/Volume (Liquid) Inches Feet Yards Miles Customary Ounces Pounds Tons Fluid Ounces Cups Pints Quarts Gallons Millimeter Centimeter Meter Metric Grams Kilograms Tools Ruler Yardstick Tape Measure Meter Stick Scale Balance Measuring Cup Medicine Cup Measuring Spoon Word Bank: Units: Inches Feet Yards Miles Centimeter Meter Ounces Tons Pounds Pint Cups Fluid Ounces Gallons Grams Kilograms Millimeter Tools: Ruler Yard stick Scale Measuring Cup Tape Measure Balance Measuring spoon Medicine Cup Meter Stick
79 4.6 Weight Notes Customary 16 ounces = 1 pound 2,000 pounds = 1 Ton Metric 1,000 grams = 1 kilogram You try: 5 pounds = 80 ounces 3 Tons = 6,000 pounds 8,000 pounds = 4 Tons 32 ounces = 2 pounds 5,000 grams = 5 kilograms 8 kilograms = 8,000 grams 2,000 grams = 2 kilograms 12 kilograms = 12,000 grams
80 4.7 Using a Ruler Measure the line the nearest inch. Measure the pencil to the nearest inch.
81 4.7 Length Notes Customary inches = 1 foot feet = 1 yard yards = 1 mile Metric millimeters = 1 centimeter centimeters = 1 meter millimeters = 1 meter You try: 5 ft = in 3 miles = yards 12 feet = yards 7 yards = feet 5,000 millimeters = meters 8 centimeters = millimeters 4 meters = centimeters 2 meters = millimeters
82 4.8 Liquid Volume Notes
83 4.9 Time Record the time for each clock below. Clock 1 Clock 2 Clock Elapsed Time Elapsed Time  Time that passes between two events. Stephanie left her house at time on clock 1 and arrived at the beach 3 hours and 10 minutes later. What time did she arrive at the beach? 5:34 Marvin s soccer practice started at the time on clock 2. His practice lasted 2 hours and 30 minutes. What time did his practice end? 9:21 Ms. Pomilla left her house at the time on clock 3. She arrived at school at 6:12. How long did it take her to get to school? 27 minutes
84 4.10 Geometry Name each (Point Line segment, Line, Ray, Angle) Ray Line Line Segment Angle Point Name each (Parallel, Perpendicular, and Intersecting) Perpendicular Lines Parallel Lines Intersecting Lines Intersecting Lines Parallel Lines
85 4.11 Geometric Transformations Congruent figures have the same size and shape, but may be in a different position. Translation (Slide) is when a figured is moved a specific number of points. Reflection (Flip)is when a figured is flipped over a line of reflection. Rotation (Turn) is when a figured is turned around a specific point. Identify each (Translation, Reflection, Rotation) Reflection Rotation Translation
86 4.12 Polygons Polygon Name Number of Angles Number of Sides Triangle 3 3 Quadrilateral 4 4 Pentagon 5 5 Hexagon 6 6 Heptagon 7 7 Octagon 8 8 Nonagon 9 9 Decagon 10 10
87 4.12 Quadrilaterals Notes Square  2 sets of parallel sides, 4 congruent sides, and 4 right angles. Rectangle  2 sets of parallel sides and 4 rights angles. Parallelogram  2 sets of parallel sides. Rhombus  2 sets of parallel sides; 4 equal sides. Trapezoid  1 set of parallel sides. Name each quadrilateral Rectangle Square Rhombus Parallelogram Trapezoid Parallelogram Rectangle Parallelogram Rhombus Parallelogram
88 Work Bank: 4.13 Probability Certain, Equally Likely, Impossible, Likely, Unlikely What is the probability of choosing a red gumball? Impossible Unlikely Equally Likely Draw 10 gumballs Pink = Likely 5 Green = Equally Likely 2 Blue = Equally Likely 2 Yellow = Unlikely 1 Red = Impossible 0 Likely Certain
89 4.13 Probability on a Number Line Between 0 and 1 0 ¼ ½ ¾ 1 Impossible Unlikely Equally likely Likely Certain Place a point on the number line to answer the question. What is the probability of getting heads when flipping a coin? 0 ¼ ½ ¾ 1 Impossible Unlikely Equally likely Likely Certain What is the probability rolling a 3 on a six sided number cube? 0 ½ 1 What is the probability rolling a number greater than 4 on a six sided number cube? 0 ½ 1 What is the probability rolling a 7 on a six sided number cube? 0 ½ 1
90 Cost (in cents) 4.14 Bar Graphs Make a bar graph using this information. Milk Prices Year Price 2006 $ $ $ $ $ Milk Prices Year The price of milk typically each year. A. Decreases B. Increases C. Stays the same Which year had the lowest cost of milk? 2006 What is the difference between the cost of milk in 2006 and 2010? 5 cents
91 4.14 Line Graphs Create a graph to show the morning temperatures for a five day period. Day Temperature Monday 75 Tuesday 70 Wednesday 85 Thursday 80 Friday Morning Temperatures Monday Tuesday Wednesday Thursday Friday The morning temperature on Saturday was 84 F. Based on the data in this graph, which day had a temperature closest to Saturday s temperature? Wednesday Which day had the lowest morning temperature? Tuesday What is the difference between the morning temperature on Monday and the morning temperature on Friday? 5 degrees
92 4.15 Geometric Patterns A geometric pattern is a pattern with repeating shapes. Directions: Can you find a pattern? Draw the next three shapes in the pattern. Draw the next 6 shapes in the pattern. Create your own geometric pattern. Have a partner draw the next three shapes.
93 4.15 Number Patterns A number pattern is a pattern that uses numbers. At least one mathematical operation is used: addition, subtraction, multiplication, or division Directions: Continue the number pattern below. 6, 12, 18, 24, 30, 36, 42 What is the rule? Add 6 1, 2, 4, 8, 16, 32, 64 What is the rule? Multiply by 2_ 21, 31, 41, 51, 61, 71 What is the rule? Add 10 Create your own number pattern. Have a partner identify the next three numbers and the rule.
94 4.15 Number Line Patterns A number line pattern is a pattern on a number line. Name the next three numbers on the number line Create your own number line pattern. Have a partner identify the next three numbers.
95 4.15 Input Output Tables InputOutput tables are used to show patterns. Patterns in these tables MUST move from left to right. Find the missing numbers and identify the rule. ** The rule must be true for each line, and must be read left to right. Rule: Add Rule: Subtract Rule: Multiply by Rule: Multiply by
96 4.16 Equality A balanced equation equals the same number on both sides = x 3 = 2 x 6 9 x 4 = 3 x = = 3 x = = 3 x = 7 x 4 28 = 28
97 4.16 Properties of Addition Commutative Property of Addition Changing the order does not change the sum = = You try: = = = Create your own example Associative Property of Addition Changing the groupings does not change a sum You try: 5 + (3 + 4) = (5 + 3) (8 + 4) = (2 + 8) (2 + 6) = (5 + 2) + 6 Create your own example
98 4.16 Properties of Multiplication Commutative Property of Multiplication Changing the order does not change the product. 6 x 5 5 x 6 = 6 x 5 = 5 x 6 You try: 5 x 3 = 3 x 5 4 x 7 = 7 x 4 5 x 10 = 10 x 5 Create your own example Associative Property of Multiplication Changing the groupings does not change a product You try: 5 x (3 x 4) = (5 x 3) x 4 2 x (8 x 4) = (2 x 8) x 4 5 x (2 x 6) = (5 x 2) x 6 Create your own example
99 Graphic Credit: SUPERHERO and Bubble Gum Graphics by Krista Walden Borders by
100 Fraction Graphics By: Heather Ayers, Fun for Learning Fraction People Graphics By: Images from Math Clip Art Images from A Little Peace of Africa by Laine Sutherland
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