{"id":10892,"date":"2023-12-06T16:49:00","date_gmt":"2023-12-06T11:19:00","guid":{"rendered":"https:\/\/envisionmathanswerkey.com\/?p=10892"},"modified":"2023-12-06T17:56:57","modified_gmt":"2023-12-06T12:26:57","slug":"envision-math-common-core-grade-4-answer-key-topic-14","status":"publish","type":"post","link":"https:\/\/envisionmathanswerkey.com\/envision-math-common-core-grade-4-answer-key-topic-14\/","title":{"rendered":"enVision Math Common Core Grade 4 Answer Key Topic 14 Algebra Generate and Analyze Patterns"},"content":{"rendered":"

Go through the\u00a0enVision Math Common Core Grade 4 Answer Key<\/a>\u00a0Topic 14 Algebra: Generate and Analyze Patterns<\/strong>\u00a0regularly and improve your accuracy in solving questions.<\/p>\n

enVision Math Common Core 4th Grade Answers Key Topic 14 Algebra Generate and Analyze Patterns<\/h2>\n

Essential Questions:<\/strong>
\nHow can you use a rule to continue a pattern? How can you use a table to extend a pattern? How can you use a repeating pattern to predict a shape?
\n\"Envision<\/p>\n

enVision STEM Project: Patterns and Waves<\/strong>
\nJournal: Write a Report Include what you found. Also in your report:
\nDo Research Use the Internet or other sources to learn about 2 industries where oscilloscopes can be used. Name the industry and what can be observed using the oscilloscope.<\/p>\n

Oscilloscopes are used to observe patterns in waves. Suppose a scientist created a pattern with three levels of sounds: quiet, loud, medium. If the scientist repeats the pattern of sounds, what would be the 41st sound in the pattern? Explain.<\/p>\n

Review What You Know<\/strong><\/p>\n

Vocabulary<\/strong>
\nChoose the best term from the box. Write it on the blank.<\/p>\n

    \n
  • even number<\/li>\n
  • odd number<\/li>\n
  • inverse operations<\/li>\n
  • variable<\/li>\n<\/ul>\n

    Question 1.
    \nA(n) ________ can be divided into groups of 2 without a remainder.
    \nAnswer:
    \nEven number
    \nExplanation:
    \nEven numbers\u00a0are those numbers that can be divided into two equal groups or pairs and are exactly divisible by 2.<\/p>\n

    Question 2.
    \nA symbol or letter that stands for a number is called a(n) ___________.
    \nAnswer: Variable
    \nExplanation:
    \nA variable\u00a0is a letter or symbol used as a placeholder for an unknown value<\/p>\n

    Question 3.
    \nOperations that undo each other are called _________
    \nAnswer: Inverse Operation.
    \nExplanation:
    \nInverse operations\u00a0are operations that are opposite or \u201cundo\u201d each other.
    \nFor example, addition undoes subtraction and division undoes multiplication.
    \nInverse operations are useful when solving equations<\/p>\n

    \"Algebra<\/p>\n

    Addition and Subtraction Patterns<\/strong><\/p>\n

    Add or subtract to find the missing number in each pattern.
    \nQuestion 4.
    \n3, 6, 9, 12, ____,18
    \nAnswer: 15
    \nExplanation:
    \nPattern : Add 3<\/p>\n

    Question 5.
    \n4,8, 12, ____, 20, 24
    \nAnswer: 16
    \nExplanation:
    \nPattern : Add 4<\/p>\n

    Question 6.
    \n8, 7, 6, ____,4, 3
    \nAnswer: 5
    \nExplanation:
    \nPattern : Add 1 then less 1<\/p>\n

    Question 7.
    \n30, 25, 20, 15, ____,5
    \nAnswer: 10
    \nExplanation:
    \nPattern : Subtract 5<\/p>\n

    Question 8.
    \n1, 5, 9, ____, 17, 21
    \nAnswer: 13
    \nExplanation:
    \nPattern : Add 4<\/p>\n

    Question 9.
    \n12, 10, 8, 6, ___, 2
    \nAnswer: 4
    \nExplanation:
    \nPattern : Subtract 2<\/p>\n

    Multiplication and Division Patterns<\/strong><\/p>\n

    Multiply or divide to find the missing number in each pattern.
    \nQuestion 10.
    \n1, 3, 9, 27, ___, 243
    \nAnswer: 81
    \nExplanation:
    \nPattern : Multiply 3<\/p>\n

    Question 11.
    \n64, 32, 16, ____, 4, 2
    \nAnswer:\u00a0 8
    \nExplanation:
    \nPattern : Divide by 2<\/p>\n

    Question 12.
    \n1,5, 25, ____, 625
    \nAnswer: 125
    \nExplanation:
    \nPattern : Multiply 5<\/p>\n

    Question 13.
    \n1, 2, 4, 8, ____, 32
    \nAnswer:
    \nExplanation:
    \nPattern : Multiply by 2<\/p>\n

    Question 14.
    \n1, 4, 16, ____, 256
    \nAnswer: 64
    \nExplanation:
    \nPattern : Multiply by 4<\/p>\n

    Question 15.
    \n729, 243, 81,27, 9, ____
    \nAnswer: 3
    \nExplanation:
    \nPattern : Divided by 3<\/p>\n

    Problem Solving<\/strong><\/p>\n

    Question 16.
    \nLook for Relationships James places 1 counter in the first box. He places 2 counters in the second box, 4 counters in the third box, 8 counters in the fourth box, and continues the pattern until he gets to the tenth box. How many counters did James place in the tenth box?
    \n\"Envision
    \nAnswer: 512
    \nExplanation:
    \nPattern is multiply by 2<\/p>\n

    Pick a Project<\/strong><\/p>\n

    PROJECT 14A
    \nHow have roller coasters changed through the years?
    \nProject: Make a Model Roller-Coaster Car
    \n\"Envision<\/p>\n

    PROJECT 14B
    \nHow can you use currency from different countries?
    \nProject: Make Your Own Currency
    \n\"Envision<\/p>\n

    PROJECT 14C
    \nHow can patterns be used in sidewalks?
    \nProject: Design Your Own Sidewalk
    \n\"Envision<\/p>\n

    PROJECT 14D
    \nHow many stadiums in the United States have retractable roofs?
    \nProject: Make a Seating Diagram
    \n\"Envision<\/p>\n

    Lesson 14.1 Number Sequences<\/h3>\n

    Solve & Share<\/strong>
    \nLook at the rules and starting numbers below. What are the next 6 numbers in each pattern? Tell how you decided. Describe features of the patterns. Solve these problems any way you choose.
    \nI can … use a rule to create and extend a number pattern and identify features of the number pattern not described by the rule.
    \n\"Envision<\/p>\n

    Look Back! Look for Relationships Create two patterns that use the same rule but start with different numbers. Identify a feature of each pattern. For example, identify whether the numbers are all even, all odd, or alternate between even and odd.<\/p>\n

    Essential Question<\/strong>
    \nHow Can You Use a Rule to Continue a Pattern?<\/p>\n

    Visual Learning Bridge
    \nThe house numbers on a street follow the rule “Add 4.” If the pattern continues, what are the next three house numbers? Describe a feature of the pattern.
    \n\"Envision
    \nYou can use a number line to help make sense of the problem and find the next three house numbers.<\/p>\n

    Use a number line to continue the pattern.
    \nA rule is a mathematical phrase that tells how numbers or shapes in a pattern are related. The rule for the house numbers is “Add 4.”
    \n\"Envision
    \nThe next three house numbers are 20, 24, and 28.<\/p>\n

    Describe features of the pattern.
    \nSome patterns have features that are not given in the rule.
    \n16, 20, 24, 28
    \nOne of the features of this pattern is all of the house numbers are even numbers.
    \nAnother feature is all of the house numbers are multiples of 4.<\/p>\n

    Convince Me! Generalize Can you use the rule “Add 4” to create a different pattern with all odd numbers? Explain.
    \nExplanation:
    \nNo, we cannot apply this rule on odd numbers
    \nwhen u add 4 to a odd number the answers all will be in odd numbers
    \nbut not the multiples.<\/p>\n

    \"Algebra<\/p>\n

    Another Example!<\/strong>
    \nOn another street, the house numbers follow the rule \u201cSubtract 5.” What are the next three house numbers after 825? Describe a feature of the pattern.
    \n\"Envision
    \nThe next three house numbers are 820, 815, and 810. All of the house numbers are multiples of 5.<\/p>\n

    Guided Practice<\/strong><\/p>\n

    Do You Understand?<\/strong>
    \nQuestion 1.
    \nRudy’s rule is “Add 2.” He started with 4 and wrote the numbers below. Which number does NOT belong to Rudy’s pattern? Explain. 4,6, 8, 9, 10, 12
    \nAnswer: 9
    \nExplanation:
    \n9 number does NOT belong to Rudy’s pattern
    \nBecause it is not the multiple of 2<\/p>\n

    Do You Know How?<\/strong>
    \nContinue the pattern. Describe a feature of the pattern.
    \nQuestion 2.
    \nSubtract 6
    \n48, 42, 36, 30, 24, _____, _____, ______
    \nAnswer: 18,12,6.
    \nExplanation:
    \nPattern = multiples of 6<\/p>\n

    Independent Practice<\/strong><\/p>\n

    For 3-6, continue each pattern. Describe a feature of each pattern.
    \nQuestion 3.
    \nSubtract 3: 63, 60, 57, _____, _____
    \nAnswer: 54,51,48
    \nExplanation:
    \nPattern is multiples of 3<\/p>\n

    Question 4.
    \nAdd 7: 444, 451, 458, _____, _____
    \nAnswer: 465,472.
    \nExplanation:
    \npattern = Multiples of 7<\/p>\n

    Question 5.
    \nAdd 25: 85, 110, 135, _____, _____
    \nAnswer: 160,185
    \nExplanation:
    \nThe sequence is completed by adding 25<\/p>\n

    Question 6.
    \nSubtract 4: 75, 71, 67, _____, _____
    \nAnswer: 63,59
    \nExplanation:
    \nThe sequence is completed by\u00a0 subtracting 4<\/p>\n

    For 7-12, use the rule to generate each pattern.
    \nQuestion 7.
    \nRule: Subtract 10
    \n90, _____, _____
    \nAnswer: 80,70
    \nExplanation:
    \nThe sequence is completed by subtracting 10<\/p>\n

    Question 8.
    \nRule: Add 51
    \n16, _____, _____
    \nAnswer: 67,83
    \nExplanation:
    \nThe sequence is completed by adding 51<\/p>\n

    Question 9.
    \nRule: Add 5
    \n96, _____, _____
    \nAnswer: 101, 106
    \nExplanation:
    \nThe sequence is completed by adding 5<\/p>\n

    Question 10.
    \nRule: Add 107
    \n43, _____, _____
    \nAnswer:\u00a0 150, 257
    \nExplanation:
    \nThe sequence is completed by adding 107<\/p>\n

    Question 11.
    \nRule: Subtract 15
    \n120, _____, _____
    \nAnswer: 105, 90
    \nExplanation:
    \nThe sequence is completed by Subtracting 15<\/p>\n

    Question 12.
    \nRule: Subtract 19
    \n99, _____, _____
    \nAnswer: 80, 61
    \nExplanation:
    \nThe sequence is completed by Subtracting 19<\/p>\n

    Problem Solving<\/strong><\/p>\n

    Question 13.
    \nReasoning Orlando delivers mail. He sees one mailbox that does not have a number. If the numbers are in a pattern, what is the missing number?
    \n\"Envision
    \nAnswer: 31
    \nExplanation:
    \nPattern : Add 2
    \nThe missing number is 31<\/p>\n

    Question 14.
    \nA bus tour runs 9 times a day, 6 days a week. The bus can carry 30 passengers. Find the greatest number of passengers who can ride the tour bus each week.
    \nAnswer: 1620
    \nExplanation:
    \n6 x 9 = 54 trips
    \n54 x 30 = 1620
    \nThe greatest number of passengers who can ride the tour bus each week is 1620 passengers.<\/p>\n

    Question 15.
    \nThe year 2017 was the year of the Rooster on the Chinese calendar. The next year of the Rooster will be 2029. The rule is “Add 12.” What are the next five years of the Rooster?
    \n\"Envision
    \nAnswer: 2041, 2053, 2065, 2077, 2089
    \nExplanation:
    \nThe next five years of the Rooster are 2041, 2053, 2065, 2077, 2089<\/p>\n

    Question 16.
    \nDescribe a feature of the year of the Rooster pattern.
    \nAnswer: Multiples of 12
    \nExplanation:
    \nFeature of the year of the Rooster pattern is multiples of 12<\/p>\n

    Question 17.
    \nVocabulary<\/strong> Define rule. Create a number pattern using the rule “Subtract 7.”
    \nAnswer: Rule = multiples of 7
    \nExplanation:
    \n70, 63, 56, 49
    \nIs the pattern of Subtract 7<\/p>\n

    Question 18.
    \nHigher Order Thinking<\/strong> Some patterns use both addition and subtraction in their rules. The rule is “Add 3, Subtract 2.” Find the next three numbers in the pattern.
    \n1, 4, 2, 5, 3, 6, 4, 7, _____, _____, _____
    \nAnswer: 5, 8 , 6
    \nExplanation:
    \nThe next three numbers in the pattern is 5, 8 , 6<\/p>\n

    Assessment Practice<\/strong><\/p>\n

    Question 19.
    \nRima used “Subtract 3” as the rule to make a pattern. She started with 60, and wrote the next six numbers in her pattern. Which number does NOT belong in Rima’s pattern?
    \n\"Envision
    \nA. 57
    \nB. 54
    \nC. 45
    \nD. 26
    \nAnswer: D
    \nExplanation:
    \n26 number does NOT belong in Rima’s pattern<\/p>\n

    Question 20.
    \nIvan counted all the beans in a jar. If he counted the beans in groups of 7, which list shows the numbers Ivan could have named?
    \nA. 77, 84, 91, 99
    \nB. 301, 308, 324, 331
    \nC. 574, 581, 588, 595
    \nD. 14, 24, 34, 44
    \nAnswer: B
    \nExplanation:
    \n301, 308, 324, 331 list shows the numbers Ivan could have named<\/p>\n

    Lesson 14.2 Patterns: Number Rules<\/h3>\n

    Solve & Share<\/strong>
    \nThere are 6 juice boxes in 1 pack, 12 in 2 packs, and 18 in 3 packs. How many juice boxes are in 4 packs? in 5 packs? in 6 packs? Use the rule to complete the table. Describe features of the pattern. Then find how many juice boxes are in 10 packs and 100 packs.
    \nI can … use a rule to extend a number pattern, identify features of the number pattern, and use the number pattern to solve a problem.
    \n\"Envision<\/p>\n

    Look Back! Reasoning Create a table showing the relationship between the number of bicycles and the number of bicycle wheels. Start with 1 bicycle. Complete 5 rows of the table using the rule \u201cMultiply by 2.” Describe features of the pattern.
    \n\"\"gf<\/p>\n

    Essential Question<\/strong>
    \nWhat is the Pattern?<\/p>\n

    Visual Learning Bridge
    \nThere are 3 leaflets on 1 cloverleaf. There are 6 leaflets on 2 cloverleaves. There are 9 leaflets on 3 cloverleaves. How many leaflets are on 4 cloverleaves? How many cloverleaves will have 12 leaflets?
    \n\"Envision
    \nYou can use a table to create, extend, and identify features of a pattern.<\/p>\n

    How many leaflets are on 4 cloverleaves?
    \n\"Envision
    \nThere are 12 leaflets on 4 cloverleaves. The number of leaflets is a multiple of the number of cloverleaves.<\/p>\n

    How many cloverleaves for 12 leaflets?
    \n\"Envision
    \nThere are 4 cloverleaves for 12 leaflets. The number of cloverleaves is a factor of the number of leaflets.<\/p>\n

    Convince Me! Model with Math If you know the number of leaflets, l, what expression can you use to find the number of cloverleaves, c? If you know the number of cloverleaves, what expression can you use to find the number of leaflets?<\/p>\n

    Guided Practice<\/strong><\/p>\n

    Do You Understand?<\/strong>
    \nQuestion 1.
    \nThe rule for this table is \u201cMultiply by 4.” What number does not belong?
    \n\"Envision
    \nAnswer: 15
    \nExplanation:
    \n4 x\u00a0 4 = 16
    \n15 does not belong to the\u00a0 group<\/p>\n

    Do You Know How?<\/strong>
    \nComplete the table. Describe a feature of the pattern.
    \nQuestion 2.
    \nRule: Divide by 4
    \n\"Envision
    \nAnswer: 5
    \n\"\"
    \nExplanation:
    \n5 x 4 = 20
    \nMultiply by 4 is the pattern<\/p>\n

    Independent Practice<\/strong><\/p>\n

    For 3-6, use the rule to complete each table. Describe a feature of each pattern.
    \nYou can multiply or divide to find the patterns in these tables.
    \nQuestion 3.
    \nRule: Multiply by 8
    \n\"Envision
    \nAnswer:
    \n\"\"
    \nExplanation:
    \n2 x 8 = 16
    \n5 x 8 = 40
    \nThe sequence is completed by the multiplies of 8<\/p>\n

    Question 4.
    \nRule: Divide by 5
    \n\"Envision
    \nAnswer:
    \n\"\"
    \nExplanation:
    \nThe sequence is completed by Divide by 5<\/p>\n

    Question 5.
    \nRule: Multiply by 16
    \n\"Envision
    \nAnswer:
    \n\"\"
    \nExplanation:
    \nThe sequence is completed by the multiples of 16<\/p>\n

    Question 6.
    \nRule: Divide by 2
    \n\"Envision
    \nAnswer:
    \n\"\"
    \nExplanation:
    \nThe sequence is completed by dividing with 2
    \n500 divided by 2 is 250
    \n730 divided by 2 is 365<\/p>\n

    Problem Solving<\/strong><\/p>\n

    Question 7.
    \nThe table shows how much money Joe makes painting. How much money will Joe make when he paints for 6 hours?
    \nRule: Multiply by 45
    \n\"Envision
    \nAnswer: 270
    \n\"\"
    \nExplanation:
    \n$270 money will Joe make when he paints for 6 hours<\/p>\n

    Question 8.
    \nThe table shows the total number of pounds of potatoes for different numbers of bags. How many bags does it take to hold 96 pounds of potatoes?
    \nRule: Divide by 8
    \n\"Envision
    \nAnswer: 12
    \n\"\"
    \nExplanation:
    \n12 bags it take to hold 96 pounds of potatoes<\/p>\n

    Question 9.
    \nNumber Sense<\/strong> What is the greatest number you can make using each of the digits 1,7,0, and 6 once?
    \nAnswer: 7106
    \nExplanation:
    \n7106\u00a0 is the greatest number you can make using each of the digits 1,7,0, and 6 once<\/p>\n

    Question 10.
    \nAlgebra A penguin can swim 11 miles per hour. At this speed, how far can it swim in 13 hours? Use s as a variable. Write and solve an equation.
    \nAnswer: 143 miles
    \nExplanation:
    \ns = 11 x 13
    \ns = 143 miles<\/p>\n

    For 11-12, the rule is “Multiply by 3.”
    \n\"Envision
    \nQuestion 11.
    \nReasoning<\/strong> Using the rule, how many batteries do 8 flashlights need?
    \nAnswer: 24
    \nExplanation:
    \n8 x 3 = 24
    \n24 batteries has 8 flashlights needed.<\/p>\n

    Question 12.
    \nHigher Order Thinking<\/strong> How many more batteries do 20 flashlights need than 15 flashlights? Explain.
    \nAnswer:
    \n15 x 3 = 45
    \n20 x 3 = 60
    \n60 – 45 = 15
    \nExplanation:
    \n15 more batteries do 20 flashlights need than 15 flashlights<\/p>\n

    Assessment Practice<\/strong><\/p>\n

    Question 13.
    \nThere are 6 rolls in each package. Use the rule “Divide by 6” to show the relationship between the number of rolls and the number of packages. Use each digit from the box once to complete the table.
    \n\"Envision
    \nAnswer:
    \n\"\"
    \nExplanation:
    \nUsed each digit from the box once to complete the table.<\/p>\n

    Lesson 14.3 Patterns: Repeating Shapes<\/h3>\n

    Solve & Share<\/strong>
    \nThe rule for the repeating pattern below is \u201cSquare, Triangle.\u201d What will be the 37th shape in the pattern? Explain. Solve this problem any way you choose.
    \nI can … use a rule to predict a number or shape in a pattern.
    \n\"Envision<\/p>\n

    Look Back! When the pattern has 37 shapes, how many are triangles?
    \nAnswer:
    \n37 divided by 2 is 18 times triangles
    \n37 is the triangle<\/p>\n

    Essential Question<\/strong>
    \nHow Can You Use a Repeating Pattern to Predict a Shape?<\/p>\n

    Visual Learning Bridge
    \nRashad is making a repeating pattern for the rule \u201cTriangle, Square, Trapezoid.” What will be the 49th shape in the pattern?
    \nA repeating pattern is made up of shapes or numbers that form a part that repeats.
    \n\"Envision
    \nExplanation:
    \n49th shape is triangle
    \n48 divided by 3 is 16
    \nso, the next is triangle<\/p>\n

    Look for Features of the Repeating Pattern
    \n\"Envision
    \nThe trapezoid is the 3rd<\/sup>, 6th<\/sup>, and 9th<\/sup> shape in the pattern. The positions of the trapezoids are multiples of 3.
    \n\"Envision
    \nThe triangle is the 15th<\/sup>, 4th<\/sup>, and 7th<\/sup> shape in the pattern. The positions of the triangles are 1 more than a multiple of 3.
    \n\"Envision
    \nThe square is the 2nd<\/sup>, 5th<\/sup>, and 8th<\/sup> shape in the pattern. The positions of the squares are 1 less than a multiple<\/p>\n

    Use the Repeating Pattern to Solve
    \nWhen you divide 49 by 3, the quotient is 16 R1. The pattern repeats 16 times. The 1st shape in the repeating pattern, a triangle, then appears.
    \n\"Envision
    \n49 is one more than a multiple of 3.
    \nThe 49th shape is a triangle.<\/p>\n

    Convince Me! Be Precise Suppose the rule is “Square, Triangle, Square, Trapezoid” in a repeating pattern. What is the 26th shape in the pattern? Describe features of the repeating pattern. Be precise in your description.<\/p>\n

    Another Example!<\/strong>
    \nWrite the next three numbers in the repeating pattern. Then name the 100th number in the pattern.
    \n\"Envision
    \nRule: 1, 3, 5, 7 1, 3, 5, 7, 1, 3, 5, 7, 1, 3, 5, 7, 1, 3, 5 …
    \nThere are 4 items in the repeating pattern. To find the 100th<\/sup> number, divide by 4. The pattern repeats 25 times. The 100th<\/sup> number is 7.<\/p>\n

    Guided Practice<\/strong><\/p>\n

    Do You Understand?<\/strong>
    \nQuestion 1.
    \nIn the “Triangle, Square, Trapezoid” example on the previous page, what will be the 48th<\/sup> shape? the 50th<\/sup> shape? Explain.
    \nAnswer: 48th is trapezoid, 50th is square
    \nExplanation:
    \nWhen you divide 49 by 3, the quotient is 16 R1. The pattern repeats 16 times. The 1st shape in the repeating pattern, a triangle, then appears.<\/p>\n

    Do You Know How?<\/strong>
    \nQuestion 2.
    \nWhat is the 20th<\/sup> shape? The rule is “Triangle, Circle, Circle.”
    \n\"Envision
    \nAnswer: circle
    \nExplanation:
    \nWhen you divide 20 by 3, the quotient is 6 R2. The pattern repeats 6 times. The 1st shape in the repeating pattern, a circle, then appears.<\/p>\n

    Question 3.
    \nWrite the next three numbers. The rule is “9, 2, 7, 6.”
    \n9, 2, 7, 6, 9, 2, 7, 6, ____, _____, ______
    \nAnswer: 9,2,7
    \nExplanation:
    \nThe next three numbers 9, 2, 7<\/p>\n

    Independent Practice<\/strong><\/p>\n

    For 4-7, draw or write the next three items to continue each repeating pattern.
    \nQuestion 4.
    \nThe rule is “Square, Triangle, Square.”
    \n\"Envision
    \nAnswer:
    \n\"\"
    \nExplanation:
    \nThe pattern is completed with the help of rule<\/p>\n

    Question 5.
    \nThe rule is “Up, Down, Left, Right.”
    \n\"Envision
    \nAnswer:
    \n\"\"
    \nExplanation:
    \nThe pattern is completed with the help of rule<\/p>\n

    Question 6.
    \nThe rule is “1, 1, 2.”
    \n1, 1, 2, 1, 1, 2, ____ , ____, ____ ……
    \nAnswer: 1,1,2
    \nExplanation:
    \nThe pattern is completed with the help of rule<\/p>\n

    Question 7.
    \nThe rule is “5, 7, 4, 8.\u201d
    \n5, 7, 4, 8, 5, 7, 4, 8, 5, 7, ____, ____, ____ ……
    \nAnswer: 4, 8, 5
    \nExplanation:
    \nThe pattern is completed with the help of rule<\/p>\n

    For 8-9, determine the given shape or number in each repeating pattern.
    \nQuestion 8.
    \nThe rule is “Tree, Apple, Apple.\u201d What is the 19th<\/sup> shape?
    \n\"Envision
    \nAnswer:
    \nExplanation:
    \nWhen you divide 19 by 3, the quotient is 6 R1. The pattern repeats 6 times. The 1st shape in the repeating pattern, a tree, then appears.<\/p>\n

    Question 9.
    \nThe rule is “1, 2.” What is the 42nd<\/sup> number?
    \n1, 2, 1, 2, 1, 2, …
    \nAnswer:
    \nExplanation:
    \nWhen you divide 42 by 2, the quotient is 21 R0. The pattern repeats 21 times.
    \nThe pattern is closed so the pattern end with 2.<\/p>\n

    Problem Solving<\/strong><\/p>\n

    Question 10.
    \nCreate a repeating pattern using the rule “Triangle, Square, Square.”
    \nAnswer:
    \n\"\"
    \nExplanation:
    \nCreated a repeating pattern using the rule “Triangle, Square, Square.”
    \nEnds with the triangle.<\/p>\n

    Question 11.
    \nenVision\u00ae STEM Margot measured the distance for 6 wavelengths of visible light as 2,400 nanometers. What is the distance for 1 wavelength?
    \nAnswer:
    \n2400 divided by 6 = 400
    \nExplanation:
    \n400 is the distance for 1 wavelength<\/p>\n

    Question 12.
    \nLook for Relationships Hilda is making a repeating pattern with the shapes below. The rule is “Heart, Square, Triangle.” If Hilda continues the pattern, what will be the 11th shape?
    \n\"Envision
    \nAnswer:
    \nExplanation:
    \nWhen you divide 11 by 3, the quotient is 3 R2. The pattern repeats 3 times.
    \nThe 2nd shape in the repeating pattern, a square, then appears.<\/p>\n

    Question 13.
    \nLook for Relationships Josie puts beads on a string in a repeating pattern. The rule is “Blue, Green, Yellow, Orange.” There are 88 beads on her string. How many times did Josie repeat her pattern?
    \nAnswer: 22 times
    \nExplanation:
    \nWhen you divide 88 by 4, the quotient is 22 R0. The pattern repeats 22 times.
    \nThe pattern is closed so the pattern end with yellow<\/p>\n

    Question 14.
    \nHow many more years passed between the first steam locomotive and the gasoline-powered automobile than between the gasoline-powered automobile and the first diesel locomotive?
    \n\"Envision
    \nAnswer: 81 , 27
    \nExplanation:
    \nsteam locomotive and the gasoline-powered automobile
    \n1885 – 1804 = 81
    \n81 years
    \ngasoline-powered automobile and the first diesel locomotive
    \n1912 – 1885= 27<\/p>\n

    Question 15.
    \nLouisa used the rule \u201cBlue, Green, Green, Green” to make a bracelet with a repeating pattern. She used 18 green beads. How many beads did Louisa use to make the bracelet? How many beads were NOT green?
    \nAnswer:
    \n18 divided by 3 is 6
    \nso, pattern repeated 6 times
    \n6 x 4 = 24
    \n24 – 18 = 6
    \nExplanation:
    \n6 beads were NOT green<\/p>\n

    Question 16.
    \nHigher Order Thinking<\/strong> Marcus is using shapes to make a repeating pattern. He has twice as many circles as squares. Make a repeating pattern that follows this rule.
    \nAnswer: The rule is circle , square , square
    \n\"\"
    \nExplanation:
    \nThe pattern is made according to the rule.<\/p>\n

    Assessment Practice<\/strong><\/p>\n

    Question 17.
    \nWhich rules give a repeating pattern that has a square as the 15th shape? Select all that apply.
    \n\u2610 Square, Circle
    \n\u2610Circle, Square, Triangle
    \n\u2610 Square, Circle, Triangle
    \n\u2610 Circle, Triangle, Square
    \n\u2610 Trapezoid, Circle, Square
    \nAnswer:
    \n\"\"
    \nExplanation:
    \nSelected all that apply
    \nwhere the 15th shape is a square.<\/p>\n

    Question 18.
    \nWhich rules give a repeating pattern that has a 7 as the 15th<\/sup> number? Select all that apply.
    \n\u2610 1, 7
    \n\u2610 1, 7, 9
    \n\u2610 1, 9, 7
    \n\u2610 1, 7, 7
    \n\u2610 7, 1, 9
    \nAnswer:
    \n\"\"
    \nExplanation:
    \nselected pattern rules give a repeating pattern that has a 7 as the 15th<\/sup> number<\/p>\n

    Lesson 14.4 Problem Solving<\/h3>\n

    Look For and Use Structure<\/strong>
    \nSolve & Share<\/strong>
    \nEvan’s baby brother is stacking blocks. Using the rule “Add 1 block to the number of blocks in the previous stack,” how many blocks will be in the 6th stack? Explain. Justify your answer.
    \nI can … use patterns to help solve problems.
    \n\"Envision<\/p>\n

    Thinking Habits
    \n\u2022 What patterns can I see and describe?
    \n\u2022 How can I use the patterns to solve the problem?
    \n\u00b7 Can I see expressions and objects in different ways?<\/p>\n

    Look Back! Look For Relationships How many blocks are in the 10th stack? Explain.<\/p>\n

    Essential Question<\/strong>
    \nHow Can I Look For and Make Use of Structure?<\/p>\n

    Visual Learning Bridge
    \nAlisa made three walls with cubes. She recorded her pattern. If she continues the pattern, how many cubes will be in a 10-layer wall? a 100-layer wall?
    \n\"Envision
    \nWhat do you need to do to find the number of cubes in a 10-layer and 100-layer wall?
    \nI need to continue the pattern using the rule and analyze the pattern to find features not stated in the rule itself.<\/p>\n

    How can I make use of structure to solve this problem?
    \nI can<\/p>\n

      \n
    • look for and describe patterns in three dimensional shapes.<\/li>\n
    • use the rule that describes how objects or values in a pattern are related.<\/li>\n
    • use features of the pattern not stated in the rule to generate or extend the pattern.<\/li>\n<\/ul>\n

      Here’s my thinking.
      \nMake a table and look for patterns.
      \n\"Envision
      \nThere are 4 cubes in each layer. Multiply the number of layers by 4 to calculate the number of cubes.
      \nA 10-layer wall contains 10 \u00d7 4 = 40 cubes.
      \nA 100-layer wall contains 100 \u00d7 4 = 400 cubes.<\/p>\n

      Convince Me! Look for Relationships How could you use multiples to describe Alisa’s pattern?<\/p>\n

      Guided Practice<\/strong><\/p>\n

      Use Structure<\/strong>
      \nLeah arranged triangular tiles in a pattern like 1 row the one shown. She used the rule \u201cMultiply the number of rows by itself to get the number of small triangles.” How many small triangles would be in the pattern if there were 10 rows?
      \n\"Envision
      \nQuestion 1.
      \nComplete the table to help describe the pattern.
      \n\"Envision
      \nAnswer:
      \n\"\"
      \nExplanation:
      \nMultiplied the number by itself<\/p>\n

      Question 2.
      \nDescribe the pattern another way.
      \nAnswer:
      \n4 x 4 = 12
      \n5 x 5 = 25
      \nExplanation:
      \nused the rule \u201cMultiply the number of rows by itself to get the number of small triangles<\/p>\n

      Question 3.
      \nHow many triangles would be in 10 rows?
      \nAnswer: 100
      \nExplanation:
      \n10 x 10= 100
      \nused the rule \u201cMultiply the number of rows by itself to get the number of small triangles<\/p>\n

      Independent Practice<\/strong><\/p>\n

      Look for Relationships<\/strong>
      \nAlan built the towers shown using the rule “Each story has 2 blocks.\u201d How many blocks will a 10-story tower have? Use Exercises 4-6 to answer the question.
      \n\"Envision
      \nQuestion 4.
      \nComplete the table to help describe the pattern.
      \n\"Envision
      \nAnswer: 10 x 2 = 20
      \n\"\"
      \nExplanation:
      \nPattern is add by 2<\/p>\n

      Question 5.
      \nWhat is another way to describe the pattern that is not described by the rule?
      \nAnswer:
      \nExplanation:
      \nPattern is add by 2<\/p>\n

      Question 6.
      \nHow many blocks are in a 10-story tower? Explain.
      \nAnswer: 10 x 2 = 20
      \nExplanation:
      \nused the rule \u201cMultiply the number with 2″<\/p>\n

      Problem Solving<\/strong><\/p>\n

      Performance Task<\/strong><\/p>\n

      Glass Stairs
      \nAn art gallery staircase is built using glass cubes. The diagram below shows 4 steps are 4 cubes high and 4 cubes across. Five steps are 5 cubes high and 5 cubes across. How many glass cubes are used to make 7 steps? Use Exercises 7-10 to answer the question.
      \n\"Envision
      \nQuestion 7.
      \nMake Sense and Persevere What do you know, and what do you need to find?
      \nAnswer:
      \n4 steps are 4 cubes high and 4 cubes across. Five steps are 5 cubes high and 5 cubes across
      \nis what we know
      \n7 steps is to find
      \nseven steps are 7 cubes high and 7 cubes across<\/p>\n

      Question 8.
      \nReasoning<\/strong> Complete the table.
      \n\"Envision
      \nAnswer:
      \n\"\"
      \nExplanation:
      \nPattern = multiply by 3<\/p>\n

      Question 9.
      \nLook For Relationships What pattern can you determine from the table?
      \n\"Envision
      \nAnswer: Pattern = multiply by 3
      \nExplanation:
      \nmultiply by 3 pattern can you determine from the table<\/p>\n

      Question 10.
      \nReasoning<\/strong> How many cubes are needed for 7 steps? Write and solve an equation.
      \nAnswer: 49 cubes
      \nExplanation:
      \n7 x 7 = 49
      \nseven steps are 7 cubes high and 7 cubes across
      \n49 cubes are needed for 7 steps<\/p>\n

      Topic 14 Fluency Practice Activity<\/h3>\n

      Point & Tally<\/strong>
      \nFind a partner. Get paper and a pencil. Each partner chooses a different color: light blue or dark blue. Partner 1 and Partner 2 each point to a black number at the same time. Each partner adds the two numbers. If the answer is on your color, you get a tally mark. Work until one partner has twelve tally marks.
      \nI can … add multi-digit whole numbers.
      \n\"Envision<\/p>\n

      Topic 14 Vocabulary Review<\/h3>\n

      Understand Vocabulary
      \nWord List<\/p>\n

        \n
      • equation<\/li>\n
      • even number<\/li>\n
      • factor<\/li>\n
      • multiple<\/li>\n
      • odd number<\/li>\n
      • repeating pattern<\/li>\n
      • rule<\/li>\n
      • unknown<\/li>\n<\/ul>\n

        Question 1.
        \nCircle the term that best describes 28.
        \neven
        \nodd
        \nequation
        \nunknown
        \nAnswer: Even
        \nExplanation:
        \nEven is the word which is divisible by 2<\/p>\n

        Question 2.
        \nCircle the term that best completes this sentence: 4 is a _________ of 16.
        \neven
        \nodd
        \nfactor
        \nmultiple
        \nAnswer: factor
        \nExplanation:
        \n2, 4 , 8 are the factors of 16<\/p>\n

        Question 3.
        \nCircle the term that best describes 17.
        \neven
        \nodd
        \nequation
        \nunknown
        \nAnswer: Odd
        \nExplanation:
        \nOdd numbers<\/em>\u00a0are the numbers that cannot be divided by 2 evenly.<\/p>\n

        Question 4.
        \nCircle the term that best completes this sentence: 9 is a _________ of 3.
        \neven
        \nodd
        \nfactor
        \nmultiple
        \nAnswer: Multiple of 3
        \nExplanation:
        \n3 x 3 = 9
        \n9 is the multiple of 3<\/p>\n

        Question 5.
        \nDraw a line from each term to its example.
        \n\"Envision
        \nAnswer:
        \n\"\"
        \nExplanation:
        \nThe preview\u00a0 words are matched with the correct answers.<\/p>\n

        Use Vocabulary in Writing<\/strong>
        \nQuestion 6.
        \nUse at least 3 terms from the Word List to describe the pattern.
        \n50, 48, 46, 44, 42 …
        \nAnswer:
        \nEven numbers
        \nMultiple
        \nRule
        \nExplanation:
        \nThe above all numbers are even numbers
        \nThey are multiples of 2
        \nRule= less 2<\/p>\n

        Topic 14 Reteaching<\/h3>\n

        Set A pages 521-524<\/strong><\/p>\n

        You can use the rule “Subtract 3\u201d to continue the pattern.
        \n\"Envision
        \nThe next three numbers in the pattern are 9,6, and 3
        \nA feature of the pattern is all the numbers are multiples of 3.
        \nAnother feature is all the numbers in the pattern alternate even, odd.<\/p>\n

        Remember<\/strong> to check that the numbers in your pattern follow the rule.<\/p>\n

        Use the rule to continue each pattern. Describe a feature of the pattern.
        \nQuestion 1.
        \nRule: Add 20
        \n771, 791, 811, _____, _____, _____
        \nAnswer: 831, 851
        \nExplanation:
        \nA feature of the pattern is all the numbers are odd numbers<\/p>\n

        Question 2.
        \nRule: Subtract 12
        \n122, 110, 98, _____, _____, ______
        \nAnswer: 86, 74, 62
        \nExplanation:
        \nA feature of the pattern is all the numbers are even numbers<\/p>\n

        Set B pages 525-528<\/strong><\/p>\n

        The regular price is twice the sale price. You can use the rule “Divide by 2” to continue the pattern.
        \n\"Envision<\/p>\n

        Remember<\/strong> to look for features of the pattern not described by the rule.<\/p>\n

        Use the rule to continue each pattern. Describe a feature of the pattern.
        \nQuestion 1.
        \nRule: Multiply by 18
        \n\"Envision
        \nAnswer:
        \n\"\"
        \nExplanation:
        \nA feature of the pattern is all the numbers are even numbers<\/p>\n

        Question 2.
        \nRule: Divide by 9
        \n\"Envision
        \nAnswer:\u00a0 $100
        \n\"\"
        \nExplanation:
        \nA feature of the pattern is all the numbers are even and odd numbers<\/p>\n

        Question 3.
        \nRule: Multiply by 24
        \n\"Envision
        \nAnswer:
        \n\"\"
        \nExplanation:
        \nA feature of the pattern is all the numbers are even<\/p>\n

        Set C pages 529-532<\/strong><\/p>\n

        You can use the rule “Circle, Triangle, Square” to continue the repeating pattern.
        \n\"Envision
        \nYou can use the rule to find the 25th<\/sup> shape in the pattern.
        \n25 \u00f7 3 = 8 R1.
        \nThe pattern will repeat 8 times, then the 1st<\/sup> shape will appear.
        \nThe circle is the 25th<\/sup> shape in the pattern.<\/p>\n

        Remember<\/strong> to use the rule to continue the pattern.<\/p>\n

        Question 1.
        \na. Draw the next three shapes in the repeating pattern. The rule is \u201cRight, Up, Up.”
        \n\"Envision
        \nAnswer:
        \n\"\"
        \nExplanation:
        \nUp, Up, Right is the next three shapes in the repeating pattern<\/p>\n

        b. Draw the 50th<\/sup> shape in the pattern.
        \nAnswer:
        \nExplanation:
        \nYou can use the rule to find the 50th<\/sup> shape in the pattern.
        \n50 \u00f7 3 = 16 R2.
        \nThe pattern will repeat 16 times, then the 1st<\/sup> shape will appear.
        \nThe up is the 50th<\/sup> shape in the pattern.<\/p>\n

        Question 2.
        \na. Write the next three numbers in the repeating pattern. The rule is “3, 5, 7, 9.”
        \n3, 5, 7, 9, 3, 5, 7, ____, _____, ______
        \nAnswer: 9, 3, 5, 7
        \nExplanation:
        \n9, 3, 5, 7 the next three numbers in the repeating pattern<\/p>\n

        b. What will be the 100th<\/sup> number in the pattern?
        \nAnswer:
        \nExplanation:
        \nYou can use the rule to find the 100th<\/sup> number in the pattern.
        \n100 \u00f7 4 = 25 R0.
        \nThe pattern will repeat 25 times,
        \nThere the pattern ends so, the 100th\u00a0 number is 7<\/p>\n

        Set D pages 533-536<\/strong><\/p>\n

        Think about these questions to help you Look For and Use Structure.
        \nThinking Habits<\/p>\n

          \n
        • What patterns can I see and describe?<\/li>\n
        • How can I use the patterns to solve the problem?<\/li>\n
        • Can I see expressions and objects in different ways?
          \n\"Envision<\/li>\n<\/ul>\n

          Remember<\/strong> to use the rule that describes how objects or values in a pattern are related.<\/p>\n

          Sam creates a pattern using the rule “Each story has 3 blocks.”
          \n\"Envision
          \nQuestion 1.
          \nDraw the next shape in Sam’s pattern.
          \nAnswer:
          \n\"\"
          \nExplanation:
          \n4 x 4 is the Sam’s next shape<\/p>\n

          Question 2.
          \nUse the rule to continue Sam’s pattern.
          \n\"Envision
          \nAnswer:
          \n\"\"
          \nExplanation:
          \npattern = multiple of 3<\/p>\n

          Question 3.
          \nHow many blocks are in the 10th shape in Sam’s pattern?
          \nAnswer:
          \n10 x 10 = 100
          \nExplanation:
          \n100 blocks are in the 10th shape in Sam’s pattern.<\/p>\n

          Topic 14 Assessment Practice<\/h3>\n

          Question 1.
          \nFootball players come out of the tunnel, and their jerseys have the number pattern shown below. They follow the rule “Add 4.”
          \n\"Envision
          \nA. What number belongs on the front of the blank jersey? Explain.
          \nAnswer: 24
          \nExplanation:
          \nNumber 24 belongs on the front of the blank jersey<\/p>\n

          B. Describe two features of the pattern.
          \nAnswer:
          \nExplanation:
          \nA feature of the pattern is all the numbers are even
          \nA feature of the pattern is all the numbers are multiples of\u00a0 4<\/p>\n

          Question 2.
          \nOne dozen eggs is 12 eggs. Two dozen eggs is 24 eggs. Match the number of dozens to the number of eggs. The rule is “Multiply by 12.”
          \n\"Envision
          \nAnswer:
          \n\"\"
          \nExplanation:
          \nMatched the eggs with the dozen<\/p>\n

          Question 3.
          \nUse the rule “Multiply by 6” to continue the pattern. Then describe a feature of the pattern.
          \n\"Envision
          \nAnswer:
          \n\"\"
          \nExplanation:
          \nA feature of the pattern is all the numbers are even<\/p>\n

          Question 4.
          \nUse the rule “Divide by 3” to continue the pattern. Then write 4 terms of a different pattern that follows the same rule.
          \n729, 243, 81, ____, _____
          \nAnswer: 27, 9 , 3, 1
          \nExplanation:
          \n4 terms of a different pattern that follows the same rule is 27, 9 , 3, 1<\/p>\n

          Question 5.
          \nNicole arranges her shopping purchases by price. Each item costs $6 more than the last. The first item costs $13. The last costs $61. Her brother John says that the price of each item is an odd number. Is John correct? Find the cost of each item to explain.
          \nAnswer: 19 , 25 , 31, 37 , 43, 49, 55, 61.
          \nExplanation:
          \nJohn says that the price of each item is an odd number. yes, John correct<\/p>\n

          Question 6.
          \nThe rule for the repeating pattern is “5, 7, 2, 8.” Write the next three numbers in the pattern. Then tell what will be the 25th number in the pattern. Explain.
          \n5, 7, 2, 8, 5, 7, 2, 8, 5, _____, _____, _____
          \nAnswer:
          \n5, 7, 2, 8, 5, 7, 2, 8, 5, 7, 2, 8
          \nExplanation:
          \nYou can use the rule to find the 25th<\/sup> number in the pattern.
          \n25 \u00f7 4 = 6 R1.
          \nThe pattern will repeat 6 times,
          \nthen the 1st<\/sup> number will appear.
          \nThe 5 is the 25th<\/sup> number in the pattern<\/p>\n

          Question 7.
          \nJackson wrote different patterns for the rule “Subtract 5.” Select all of the patterns that he could have written. Then write 4 terms of a different pattern that follows the same rule.
          \n\u2610 27, 22, 17, 12,7
          \n\u2610 5, 10, 15, 20, 25
          \n\u2610 55, 50, 35, 30, 25
          \n\u2610 100, 95, 90, 85, 80
          \n\u2610 75, 65, 55, 45, 35
          \nAnswer:
          \n\"\"
          \nExplanation:
          \ndifferent patterns for the rule “Subtract 5.”
          \nSelected all of the patterns that he could have written<\/p>\n

          Question 8.
          \nThe rule is “Subtract 7.” What are the next 3 numbers in the pattern? Describe two features of the pattern.
          \n70,63, 56, 49, 42,35
          \nAnswer: 28, 21, 14, 7
          \nExplanation:
          \n28, 21, 14, 7 the next 3 numbers in the pattern<\/p>\n

          Question 9.
          \nThe table shows the different number of teams formed by different numbers of players. The rule is “Divide by 8.”
          \n\"Envision
          \nA. How many teams can be formed with 40 players?
          \n_______ teams
          \nAnswer: 5
          \nExplanation:
          \n5 teams can be formed with 40 players<\/p>\n

          B. How many players are there on 13 teams? How do you know?
          \nAnswer: 104
          \nExplanation:
          \n104 players are there on 13 teams<\/p>\n

          Question 10.
          \nA. Select all the true statements for the repeating pattern. The rule is \u201cCircle, Heart, Triangle.”
          \n\"Envision
          \n\u2610 The next shape is the circle.
          \n\u2610 The circle only repeats twice.
          \n\u2610 The 10th<\/sup> shape is the heart.
          \n\u2610 The 12th<\/sup> shape is the triangle.
          \n\u2610 The circle is the 1st<\/sup>, 4th<\/sup>, 7th<\/sup>, etc. shape.
          \nAnswer:
          \n\"\"
          \nExplanation:
          \nSelected all the true statements for the repeating pattern.<\/p>\n

          B. How many triangles are there among the first 22 shapes?
          \nAnswer: 7
          \nExplanation:
          \n7 triangles are there among the first 22 shapes<\/p>\n

          Topic 14 Performance Task<\/h3>\n

          Wall Hangings Michael uses knots to make wall hangings to sell.
          \n\"Envision
          \nQuestion 1.
          \nThe Michael’s Basic Wall Hanging figure shows a simple wall hanging Michael makes by repeating the shapes shown. What is the 16th shape in the repeating pattern? The rule is “Circle, Triangle, Square.” Explain.
          \nAnswer:
          \nExplanation:
          \nYou can use the rule to find the 25th<\/sup> number in the pattern.
          \n16 \u00f7 3 =\u00a0 R1.
          \nThe pattern will repeat 5 times,
          \nthen the 1st<\/sup> shape will appear.
          \nThe circle is the 16th<\/sup> shape in the pattern<\/p>\n

          Question 2.
          \nThe Snowflake Design figure shows a knot Michael likes to use.
          \n\"Envision
          \nPart A
          \nList the number of knots that Michael uses to form 1 to 6 snowflake designs. The rule is “Add 11.”
          \nAnswer: 11 , 22, 33, 44, 55, 66
          \nExplanation:
          \nThe number of knots that Michael uses to form 1 to 6 snowflake designs 11 , 22, 33, 44, 55, 66<\/p>\n

          Part B
          \nDescribe a feature of the pattern you listed in Part A that is not part of the rule. Explain why it works.
          \nAnswer:
          \nExplanation:
          \nA feature of the pattern is all the numbers are even and odd<\/p>\n

          Question 3.
          \nThe Michael’s Wall Hanging figure shows the design of a wall hanging Michael makes using the Snowflake Design. Answer the following to find how many knots Michael ties to make a wall hanging with 28 snowflakes.
          \n\"Envision
          \nPart A
          \nEach column of 4 snowflakes has 4 connectors. There are also 4 connectors between columns. Complete the Connectors table using the rule “Add 8 connectors for each column.” Describe a feature of the pattern.
          \n\"Envision
          \nAnswer:
          \n\"\"
          \nExplanation:
          \nCompleted the table by following the rule<\/p>\n

          Part B
          \nComplete the Total Knots table using the following rules.
          \nSnowflake Knots rule: Multiply the number of snowflakes by 11.
          \nConnector Knots rule: Multiply the number of connectors from the Connectors table by 3.
          \nTotal Knots rule: Add the number of snowflake knots and the number of connector knots.
          \n\"Envision
          \nAnswer:
          \n\"\"
          \nExplanation:
          \nSnowflake Knots rule: Multiply the number of snowflakes by 11.
          \nConnector Knots rule: Multiply the number of connectors from the Connectors table by 3.
          \nTotal Knots rule: Add the number of snowflake knots and the number of connector knots.<\/p>\n","protected":false},"excerpt":{"rendered":"

          Go through the\u00a0enVision Math Common Core Grade 4 Answer Key\u00a0Topic 14 Algebra: Generate and Analyze Patterns\u00a0regularly and improve your accuracy in solving questions. enVision Math Common Core 4th Grade Answers Key Topic 14 Algebra Generate and Analyze Patterns Essential Questions: How can you use a rule to continue a pattern? How can you use a …<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts\/10892"}],"collection":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/comments?post=10892"}],"version-history":[{"count":14,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts\/10892\/revisions"}],"predecessor-version":[{"id":27665,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts\/10892\/revisions\/27665"}],"wp:attachment":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/media?parent=10892"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/categories?post=10892"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/tags?post=10892"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}