# Into Math Grade 4 Module 18 Answer Key Symmetry and Patterns

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. 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.
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? Row C has the greatest score as we can observe in the image.

Turn and Talk

How did your prediction compare with the result?

How would the result have changed if the table was one column shorter?

Complete these problems to review prior concepts and skills you will need for this module.

Plane Shapes
Circle the parallelograms.

Question 1.  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: ________
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: ________
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: ________
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: ________
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: ________
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: ________
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.   