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 = 4**0**

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**.