We included HMH Into Math Grade 4 Answer Key PDF Module 18 Lesson 3 Generate and Identify Shape Patterns to make students experts in learning maths.
HMH Into Math Grade 4 Module 18 Lesson 3 Answer Key Generate and Identify Shape Patterns
I Can describe and extend shape patterns.
Step It Out
Question 1.
Hachi is studying the geometric shape patterns on this vase. What might be the next three figures in the pattern?
A. Identify the geometric shapes that you see in the design.
Answer:
The geometric shapes that are in the design are circle and triangle.
B. Describe a shape pattern.
Answer:
A triangle is placed on top, right, bottom and left of a circle where triangle base is towards the circle and vertex is away from the circle.
The above pattern can be observed in the given figure.
C. Draw the next three figures in your pattern.
Answer:
Turn and Talk Describe your pattern using line symmetry.
Answer:
Question 2.
Hachi makes a design, but she spills ink on her work. The ink covers three figures in the pattern. How can you predict the figures hidden by the ink?
A. Describe a possible geometric pattern.
Answer:
B. Draw the hidden figures.
Answer:
Question 3.
Lamont makes a pattern from the rule increase the number of circles in each row by 1.
A. Use the rule to draw the next three figures in the pattern.
Answer:
Explanation:
The given rule states that the number of circles increases by 1 for each row. As there are 2 rows, so the number of circles increases by 2 for every figure in the pattern.
B. Use the figures to write a number pattern. Then describe a pattern in the numbers.
Answer:
2, 4, 6, 8
From the figure above we can see the number of circles increases by 1 for each row. As there are 2 rows, so the number of circles increases by 2 for every figure in the pattern.
Check Understanding
Question 1.
Emilio used pattern blocks to make the following pattern. What might be next in his pattern?
Answer:
Explanation:
After observing the pattern given, every time a blue block is getting increased in the pattern. So, the next figure in the pattern will consists of four blue blocks and one red block.
On Your Own
Question 2.
Attend to Precision Charles designs this pattern for his family’s quilting project.
Describe a possible pattern in his design. Use precise geometric terms.
Answer:
The pattern consists of a yellow triangle pointing towards left and its base is attached to a blue square on one of its side. The opposite side of the blue square is attached to a green triangle which is pointing towards right. The pattern continues..
Question 3.
Use the rule increase the number of sides by 1 to name the next three figures in the pattern. Then use the figures to write a number pattern and describe the pattern in the numbers.
Answer:
Explanation:
From the given rule, the number of sides should increase by 1 for the next three figures in the pattern. The first figure has three sides. So, the number of sides for the next three figures are 4, 5 and 6. The next figures in the pattern after triangle are square, pentagon and hexagon.
The number pattern is 3, 4, 5, 6.
Question 4.
Sandra makes the following pattern: 1 triangle, 1 trapezoid, 2 triangles, 2 trapezoids, 3 triangles, 3 trapezoids.
If the pattern continues, what would be next in her pattern?
Answer:
The next in her pattern would be 4 triangles and 4 trapezoids.
Explanation:
From the given pattern Sandra is increasing 1 triangle and 1 trapezoid every time. So, she increased 3 triangles and 3 trapezoids the next pattern would be 4 triangles and 4 trapezoids.
Question 5.
Open Ended Use the following shapes to draw a repeating geometric shape pattern. Describe your pattern.
Answer:
Explanation:
The pattern includes figures having three sides(triangle), six sides(Hexagon), and four sides(Square). These geometric shapes repeat to form a pattern.
Question 6.
Extend the pattern and describe it.
Answer:
Explanation:
In the above given pattern we can observe first figure is circle and second figure is triangle. The third figure is again circle and the fourth figure is square. The fifth figure is circle and sixth figure is pentagon. So, we can observe the sides of the polygon are increased by 1. So, the next figures in the pattern after Pentagon are circle, hexagon and circle.
Question 7.
Use the figures to write a number pattern. Then describe your number pattern. How many small squares will be in the sixth figure in your pattern?
Answer:
Explanation:
The number pattern is 1, 4, 9, 16, 25, 36.
There will be 36 small squares in the sixth figure of the above given pattern.