All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 7 Lesson 1 Nonnumeric Patterns will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 7 Lesson 1 Nonnumeric Patterns
A pattern is a list of numbers, figures, or symbols that follow a rule.
In this lesson, you will use and describe patterns that do not use numbers. These are called nonnumeric patterns. Many nonnumeric patterns are shape patterns.
Math in My World
Example 1
Edgar’s room has a border of stars and moons. The stars and moons show a repeating pattern. How many figures are in this pattern unit? Copy and extend the pattern one time.
1. Find the pattern unit.
Each pattern unit has ____ star and ____ moons. The pattern repeats.
2. Extend the pattern.
Copy the pattern as shown above. Then draw another star and two moons.
So, there are ____ figures in this pattern unit.
Patterns can also grow. They can get larger or smaller.
Answer:
Explanation:
Pattern:
Next three places:
Star, Moon, Moon.
Example 2
Sal uses billiard balls to show a growing pattern. Use counters to model and describe the pattern. Then make an observation about the pattern.
Use counters to model the pattern.
Begin with one counter.
Each row adds one more billiard ball. So, place _____ counters in the second row and ____ counters in the third row.
Continue adding counters until you have 5 rows.
The pattern is add ____.
The number of billiard balls in each row alternates between odd and ____.
Answer:
The number of billiard balls in each row alternates between odd and even.
Explanation:
Each row adds one more billiard ball. So, place 1 counters in the second row and 2 counters in the third row.
Each row has a odd and even number billiard balls.
Guided Practice
Extend each pattern. Draw the shapes on the lines.
Question 1.
Answer:
Explanation:
Next two shapes on the lines are left facing snail and right facing snail.
Question 2.
Answer:
Explanation:
Next five shapes on the lines are four triangles and 1 circle.
Talk Math
Make another observation about the pattern in Example 2.
Answer:
Another pattern noticed in example 2 is that the count of triangle after every circle is increased.
Explanation:
The count of triangle after every circle is increased is the another pattern noticed.
Independent Practice
Extend each pattern. Draw the shapes on the lines.
Question 3.
_____ ______
Answer:
Explanation:
Next two shapes on the lines are up facing figure and right facing figure.
Question 4.
____ ____
Answer:
Explanation:
Next two shapes on the lines are left sided triangle and up sided triangle.
Question 5.
___ ____ ____
Answer:
Explanation:
Next three shapes on the lines are circle and two thunders.
Question 6.
___ ____ ____
Answer:
Explanation:
Next three shapes on the lines are right edge folded paper, left edged up folded paper and right edge folded paper.
Draw eggs in the last carton to extend each pattern.
Question 7.
Answer:
Explanation:
Pattern of eggs in carton:
2 + 2 = 4.
4 + 2 = 6.
6 + 2 = 8.
Question 8.
Answer:
Explanation:
Pattern of eggs in carton:
6 eggs, 2 eggs, 6 eggs, 2 eggs, 6 eggs.
Problem Solving
Question 9.
Mathematical PRACTICE 8 Look for a Pattern Daniela notices a pattern in her scrapbook. The leaves on the first page are green. The second page has yellow leaves. The third page has green leaves. The next page has yellow leaves. Is this a repeating or a growing pattern? Explain.
Answer:
Yes, its a repeating pattern because the pattern is repeating.
Explanation:
Color of leaves on the first page = green.
Color of leaves on the second page = yellow.
Color of leaves on the third page = green.
Color of leaves on the fourth page = yellow.
A repeating pattern is a pattern where the same terms repeat over and over.
HOT Problems
Question 11.
Mathematical PRACTICE 3 Which One Doesn’t Belong? A growing pattern is shown at the right. Which figure below would not be in this pattern? Explain.
Answer:
figure would not be in this pattern because the pattern is decreasing instead of increasing.
Explanation:
A growing pattern is the one which increases or decreases by a constant unit, you can find a growing pattern with pictures shapes, objects, numbers etc.
is growing.
is decreasing.
Question 11.
? Building on the Essential Question Explain the difference between a nonnumeric growing pattern and a nonnumeric repeating pattern.
Answer:
Difference between a nonnumeric growing pattern and a nonnumeric repeating pattern is that one shows growth and other shows repeating in the patterns.
Explanation:
A nonnumeric growing pattern is a pattern often using shapes or symbols to show its pattern of growth.
A nonnumeric repeating pattern is a pattern often using shapes or symbols to show its pattern is repeating.