All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 7 Lesson 4 Problem-Solving Investigation: Look for a Pattern will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 7 Lesson 4 Problem-Solving Investigation: Look for a Pattern
1. Understand
What facts do you know?
Daniel walked ___ miles the first week, second week, and ___ miles the third week.
What do you need to find?
the number of miles Daniel will walk the ___ week
2. Plan
I will look for a pattern to solve the problem.
3. Solve
The sequence of the pattern is: 5, 7, 9.
The rule to the pattern is ____.
Based on the rule, the next term in the sequence is _____
So, Daniel will walk ___ miles during the fourth week.
4. Check
Does your answer make sense? Explain.
Answer:
Daniel will walk 11 miles during the fourth week.
My answer makes sense because its fulfilling the rule of the problem and is correct.
Explanation:
The sequence of the pattern is: 5, 7, 9.
Rule:
5 + 2 = 7.
7 + 2 = 9.
9 + 2 = 11.
Based on the rule, the next term in the sequence is 11.
Daniel walked 5 miles the first week, 7 miles the second week, and 9 miles the third week.
Practice the Strategy
Taryn made 15 hair ribbons on Monday, 21 hair ribbons on Tuesday, and 27 hair ribbons on Wednesday. Based on her pattern, how many hair ribbons will she make on Thursday?
1. Understand
What facts do you know?
_____________
What do you need to find?
_____________
2. Plan
_____________
3. Solve
4. Check
Does your answer make sense? Explain.
_____________
Answer:
Number of hair ribbons Taryn made on Thursday = 33.
My answer makes sense and is correct because its fulfilling the rule of the problem.
Explanation:
Number of hair ribbons Taryn made on Monday = 15,
Number of hair ribbons Taryn made on Tuesday = 21.
Number of hair ribbons Taryn made on Wednesday = 27.
=> 21 – 15 = 6.
Pattern = 15 + 6 = 21.
21 + 6 = 27.
27 + 6 = 33.
Number of hair ribbons Taryn made on Thursday = 33.
McGraw Hill My Math Grade 4 Chapter 7 Lesson 4 My Homework Answer Key
Problem Solving
Solve each problem by looking for a pattern.
Question 1.
Mathematical PRACTICE 1 Plan Your Solution Angela opened a new bakery. She got orders for 2 cakes the first week, 4 cakes the second week, and 8 cakes the third week. If the pattern continues, how many cake orders will Angela get the fourth week?
Answer:
Number of cakes the fourth week she got orders = 16.
Explanation:
Number of cakes the first week she got orders = 2.
Number of cakes the second week she got orders = 4.
Number of cakes the third week she got orders = 8.
Number of cakes the fourth week she got orders = Number of cakes the third week she got orders × 2
= 8 × 2
= 16.
Question 2.
Manuel saw the following birds this week: 2 blue jays on Monday, 5 cardinals on Tuesday, 4 blue jays on Wednesday, 7 cardinals on Thursday, and 6 blue jays on Friday. If the pattern continues, what is the number and type of bird Manuel will see Saturday?
Answer:
Number of cardinals on Saturday Manuel saw = 9.
Explanation:
Number of blue jays on Monday Manuel saw = 2.
Number of cardinals on Tuesday Manuel saw = 5.
Number of blue jays on Wednesday Manuel saw = 4.
Number of cardinals on Thursday Manuel saw = 7.
Number of blue jays on Friday Manuel saw = 6.
Pattern = blue jays 2 cardinals 5 blue jays 4 cardinals 7 blue jay 6s cardinals ??
Number of cardinals on Saturday Manuel saw = Number of cardinals on Thursday Manuel saw + 2
= 7 + 2
= 9.
Question 3.
The house numbers on the north side of Flynn Street are even. In one block, the house numbers begin 1022, 1032, 1042, and 1052. What is the number of the next house likely to be?
Answer:
The number of the next house likely to be = 1052 + 10 = 1062.
Explanation:
The house numbers begin 1022, 1032, 1042, and 1052.
Pattern: 1022 + 10 = 1032.
1032 + 10 = 1042.
1042 + 10 = 1052.
The number of the next house likely to be = 1052 + 10 = 1062.
Question 4.
Jessica is voting for dancers in a contest. She votes for the first contestant 5 times, the second contestant 9 times, and the third contestant 13 times. If she continues this pattern, how many times will Jessica vote for the fourth contestant?
Answer:
Number of times she votes for the fourth contestant = 17.
Explanation:
Number of times she votes for the first contestant = 5.
Number of times she votes for the second contestant = 9.
Number of times she votes for the third contestant = 13
Pattern = 5 + 4 = 9.
9 + 4 = 13.
13 + 4 = 17.
Number of times she votes for the fourth contestant = 17.
Question 5.
A towel has a repeating pattern of 2 green stripes, then 3 blue stripes, and then 1 yellow stripe. If the towel has 20 stripes altogether, how many blue stripes are on it?
Answer:
Number of blue stripes are on it = 9.
Explanation:
Number of repeating pattern of green stripes a towel has (G) = 2.
Number of repeating pattern of blue stripes a towel has (B)= 3.
Number of repeating pattern of yellow stripe a towel has (Y) = 1.
Number of repeating pattern altogether a towel has = 20.
Pattern = (G)2 (B)3 (Y)1 (G)2 (B)3 (Y)1 2 (B) 3 (Y)1 2
2 + 3 + 1 = 6.
6 × 3 = 18 + 2 = 20.
Number of blue stripes are on it = 3 + 3 + 3
= 6 + 3
= 9.