We included HMH Into Math Grade 4 Answer Key PDF Module 18 Symmetry and Patterns to make students experts in learning maths.
HMH Into Math Grade 4 Module 18 Answer Key Symmetry and Patterns
Which Score will be the greatest?
Four students are playing a game. Each student picks a row in the table. The player(s) whose row ends with the greatest score wins.
Answer:
If you extend the pattern to the end of the row, which row will have the greatest score? Make a prediction and choose a row. Explain your choice.
Answer:
My prediction is that Row C wins.
Explanation:
Row C is getting increased by 8 every time and the remaining rows are getting increased by less than 8 every time. So, my prediction is Row C will win at the end.
Extend each of the four patterns to the end of the row. Which row has the greatest score?
Answer:
Row C has the greatest score as we can observe in the image.
Turn and Talk
How did your prediction compare with the result?
Answer:
How would the result have changed if the table was one column shorter?
Answer:
Are You Ready?
Complete these problems to review prior concepts and skills you will need for this module.
Plane Shapes
Circle the parallelograms.
Question 1.
Answer:
Explanation:
In the above image we can observe different polygons. The polygons are octagon, triangles, trapezoid, rectangle, square, rhombus and parallelogram. A parallelogram has four sides and opposite sides are equal and parallel to each other. So, draw a circle for rectangle, square, rhombus, and parallelogram.
Find a Number Pattern
Describe a rule for the number pattern. Then write the next term.
Question 2.
5, 10, 15, 20, ……………..
Rule: ________
Next term: ________
Answer:
Rule: 5n where n = 1, 2, 3, 4, 5, 6….
Next term: 25
Explanation:
The given series is 5, 10, 15, 20,…
For n = 1 :
Multiply 5 with 1 the product is equal to 5.
5n = 5 x 1 = 5
For n = 2 :
Multiply 5 with 2 the product is equal to 10.
5n = 5 x 2 = 10
For n = 3 :
Multiply 5 with 3 the product is equal to 15.
5n = 5 x 3 = 15
For n = 4 :
Multiply 5 with 4 the product is equal to 20.
5n = 5 x 4 = 20
For n = 5 :
Multiply 5 with 5 the product is equal to 25.
5n = 5 x 5 = 25
The next number in the sequence is 5, 10, 15, 20, 25.
Question 3.
16, 24, 32, 40, ……………..
Rule: ________
Next term: ________
Answer:
Rule: 8n where n = 2, 3, 4, 5, 6….
Next term: 48
Explanation:
The given series is 16, 24, 32, 40,…
For n = 2 :
Multiply 8 with 2 the product is equal to 16.
8n = 8 x 2 = 16
For n = 3 :
Multiply 8 with 3 the product is equal to 24.
8n = 8 x 3 = 24
For n = 4 :
Multiply 8 with 4 the product is equal to 32.
8n = 8 x 4 = 32
For n = 5 :
Multiply 8 with 5 the product is equal to 40.
8n = 8 x 5 = 40
For n = 6:
Multiply 8 with 6 the product is equal to 48.
8n = 8 x 6 = 48
The next number in the sequence is 16, 24, 32, 40, 48.
Question 4.
200, 180, 160, 140, ……………..
Rule: ________
Next term: ________
Answer:
Rule: n, n – 20, n – 40, n – 60, n – 80,….. where n= 200
Next term: 120
Explanation:
The given series is 200, 180, 160, 140,…..
For n – 20 :
Subtract 20 from 200 the difference is equal to 180.
n – 20 = 200 – 20 = 180
For n – 40 :
Subtract 40 from 200 the difference is equal to 160.
n – 40 = 200 – 40 = 160
For n – 60 :
Subtract 60 from 200 the difference is equal to 140.
n – 60 = 200 – 60 = 140
For n – 80 :
Subtract 80 from 200 the difference is equal to 120.
n – 80 = 200 – 80 = 120
The next number in the sequence is 200, 180, 160, 140, 120.
Question 5.
36, 30, 24, 18, ……………..
Rule: ________
Next term: ________
Answer:
Rule: n, n – 6, n – 12, n – 18, n – 24,….. where n = 36
Next term: 12
Explanation:
The given series is 36, 30, 24, 18,…..
For n – 6 :
Subtract 6 from 36 the difference is equal to 30.
n – 6= 36 – 6 = 30
For n – 12 :
Subtract 12 from 36 the difference is equal to 24.
n – 12 = 36 – 12 = 24
For n – 18 :
Subtract 18 from 36 the difference is equal to 18.
n – 18 = 36 – 18 = 18
For n – 24 :
Subtract 24 from 36 the difference is equal to 12.
n – 24 = 36 – 24= 12
The next number in the sequence is 36, 30, 24, 18, 12.
Question 6.
98, 96, 94, 92, ……………..
Rule: ________
Next term: ________
Answer:
Rule: n, n – 2, n – 4, n – 6, n – 8,….. where n = 98
Next term: 90
Explanation:
The given series is 98, 96, 94, 92,…..
For n – 2 :
Subtract 2 from 98 the difference is equal to 96.
n – 2 = 98 – 2 = 96
For n – 4 :
Subtract 4 from 98 the difference is equal to 94.
n – 4 = 98 – 4 = 94
For n – 6 :
Subtract 6 from 98 the difference is equal to 92.
n – 6 = 98 – 6 = 92
For n – 8 :
Subtract 8 from 98 the difference is equal to 90.
n – 98 = 98 – 8 = 90
The next number in the sequence is 98, 96, 94, 92, 90.
Question 7.
118, 127, 136, 145, ……………..
Rule: ________
Next term: ________
Answer:
Rule: n, n + 9, n + 18, n + 27,….. where n = 118
Next term: 154
Explanation:
The given series is 118, 127, 136, 145,…..
For n + 9 :
Add 9 to 118 the sum is equal to 127.
118 + 9 = 127
For n + 18 :
Add 18 to 118 the sum is equal to 136.
18 + 118 = 136
For n + 27 :
Add 27 to 118 the sum is equal to 145.
27 + 118 = 145
For n + 36 :
Add 36 to 118 the sum is equal to 154.
36 + 118 = 154
The given series is 118, 127, 136, 145, 154.
Number of Sides
Write the number of sides.
Question 8.
Answer:
The above polygon have 4 sides.
Question 9.
Answer:
The above polygon have 8 sides.
Question 10.
Answer:
The above polygon have 7 sides.