points, lines, and line segments -...
TRANSCRIPT
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
HW 16.1
Points, Lines, and Line Segments Practice to review… I can identify geometric figures!
A point is a figure that identifies a location in space.
A line is a straight path that goes on forever in opposite directions.
A line segment is part of a line. It has two endpoints.
Use symbols to name line GH two ways. Use symbols to name segment PQ two ways.
This is point H. _______________________ _______________________
When two lines cross, they are called intersecting lines.
When two lines cross to form right angles, they are perpendicular.
When two lines are the same distance apart at every point, they
are parallel.
Use symbols to describe the lines. Use symbols to describe the lines.
𝑌𝑍 and 𝑊𝑋 are intersecting lines _______________________ _______________________
Practice to remember… Use words and symbols to name each figure. Draw an example of each.
1.
2.
3. point A 4. horizontal line 𝑭𝑮
__________________ __________________
Write parallel, intersecting, or perpendicular to best describe each pair of lines. Draw an example.
5.
6.
7.
8. 𝐴𝐵 ∥ 𝐶𝐷
__________________ __________________ __________________
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
RE 16.1 Remembering Practice for fluency…Compare. Choose >, <, or = for each .
9. 2,000 20×200 10. 70×70 4,900
a. > a. >
b. < b. <
c. = c. =Use the conversion chart. Find each missing value.
11. 4 cm = _________ mm 12. _________ km = 5,000 m
13. 3 km = _________ m 14. 2 dm = _________ cm
Answer each question. Use pictures, numbers, or words to show how you know.
15. Yesterday, Kathy drank 2 liters of water. Holly drank 2,500 milliliters of water. Who drankmore? Show how you know.
16. A cold front was coming through Baytown. At 9:00 A.M., the temperature was 37°F. Thetemperature dropped an average of 5 degrees per hour over the next 6 hours. What wasthe temperature at 3:00 P.M.?
1 centimeter = 10 millimeters 1 decimeter = 10 centimeters
1 meter = 10 decimeters 1 meter = 100 centimeters
1 kilometer = 1,000 meters
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
HW 16.2
Rays and Angles Practice to review… I can name and describe rays and angles! A ray is part of a line that begins at a point and goes on forever in
only one direction.
When lines, segments, or rays meet at a point, they form one or more angles. Angles are made up of two rays that share a
common endpoint called a vertex.
Use symbols to describe ray EF. Use symbols to name this angle three ways.
_______________________ ________________ ________________ ________________
A _____________ angle forms a square corner.
An _______________ angle is less than a right angle.
An ______________ angle is greater than a right angle.
A _______________ angle forms a line.
Practice to remember… Classify each angle as acute, right, obtuse, or straight. Then name the angle in three ways.
1.
2.
3.
4.
_________________ _________________ _________________ _________________
_________________ _________________ _________________ _________________
_________________ _________________ _________________ _________________
_________________ _________________ _________________ _________________
5.
6.
7.
8.
_________________ _________________ _________________ _________________
_________________ _________________ _________________ _________________
_________________ _________________ _________________ _________________
_________________ _________________ _________________ _________________
Point B is the vertex of this angle!
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
RE 16.2
Practice to remember, continued… Answer the question. Use pictures or words to show how you know.
9. Merideth and Luis both started at the same spot. They walked away from each other in opposite directions. They stayed on the same line. What angle did their paths form? Explain how you know.
Remembering Practice for fluency… Choose the correct answer. 10. 0 ÷ 4 = 11. □ ÷ 51 = 0 a. 0 a. 0 b. 1 b. 1 c. 4 c. 51 d. no solution d. no solution
Choose the better estimate of the mass of each. Compare. Write >, <, or = for each .
12.
13.
14. 8 kg 8,000 g
15. 30,000 g 24 kg a. 50 g b. 5 kg a. 20 kg b. 20 g Answer each question. Use pictures, numbers, or words to show how you know.
16. Sally’s grandfather is 67 years old. Sally is 19 years old. At what age will Sally be exactly one third of her grandfather’s age? How old will her grandfather be then? Show how you know.
17. David spent $29.45 on books, $38.67 on groceries, and $18.54 on gasoline for his car. How much did David spend altogether? Explain how you found your answer.
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
HW 16.4A
Quadrilaterals and Other Polygons Practice to review… I can identify and classify polygons! A polygon is a _______________ plane figure made up of three or more line segments. Polygons are named according to the number of __________ they have.
Regular polygons have all sides congruent and all angles congruent. Regular polygons
Irregular polygons
NOT POLYGONS
Practice to remember… Tell if each figure is a polygon. If the figure is a polygon, complete these columns.
Figure Is it a polygon? How many sides? Name of polygon Is it regular?
1.
2.
3.
4.
5.
6.
7.
8.
9.
figures are congruent if they have
the same size and shape
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
RE 16.4A
Remembering Practice for fluency… What is the correct way to write each number in expanded form?
10. 965,102 11. 806,423 a. 900,000 + 650,000 + 100 + 2 a. 800,000 + 60,000 + 400 + 20 + 3
b. 900,000 + 60,000 + 5,000 + 100 + 2 b. 800,000 + 60,000 + 4,000 + 200 + 3
c. 90,000 + 60,000 + 5,000 + 100 + 2 c. 80,000 + 6,000 + 400 + 20 + 3
d. 90,000 + 6,000 + 500 + 10 + 2 d. 800,000 + 6,000 + 400 + 20 + 3
Which of the numbers 2, 4, 8, and 12 make the inequality true? Circle all correct answers.
Write two different numbers that make each inequality true.
12. 10 ≤ m 13. b − 2 > 4 14. 9 < x 15. x ≤ 5
2 4 8 12 2 4 8 12 _______ _______ _______ _______
Answer each question. Use pictures, numbers, or words to show how you know.
16. The table lists three of the deepest seas and their greatest depths. List the seas in order from least to greatest depth. Show your thinking.
17. Mr. Thomas picked several baskets of strawberries. He picked a total of 65 strawberries. He equally divided the strawberries into 3 containers. He ate any remaining strawberries. How many strawberries did Mr. Thomas eat? Show how you know.
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
HW 16.4B
Quadrilaterals and Other Polygons Practice to review… I can identify and classify polygons! A polygon is a _______________ plane figure made up of three or more line segments. Polygons are named according to the number of __________ they have.
Regular polygons have all sides congruent and all angles congruent. Regular polygons
Irregular polygons
NOT POLYGONS
Quadrilaterals are polygons with _____ sides. Quadrilaterals can have special names.
A quadrilateral with one pair of opposite sides parallel is a trapezoid.
A quadrilateral with both pairs of opposite sides parallel is a parallelogram.
A parallelogram with four right angles is a rectangle.
A parallelogram with four congruent sides is a rhombus.
A parallelogram with four right angles and four congruent sides is a square.
Practice to remember… Write the name of each figure. If the figure is not a polygon, write not a polygon. If the figure is a polygon, tell if it is regular or irregular.
1.
2.
3.
4.
_________________ _________________ _________________ _________________
_________________ _________________ _________________ _________________
Write all the names that apply for each quadrilateral.
5.
________________
________________
________________
________________
6.
________________
________________
________________
________________
7.
________________
________________
________________
________________
figures are congruent if they have
the same size and shape
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
RE 16.4B
Practice to remember, continued… Answer the question. Use pictures or words to show how you know.
8. Megan drew a shape with four sides. Two of the sides were parallel. The other two sides were not parallel. What kind of shape did Megan draw?
Remembering Practice for fluency… Compare. Let 𝑧 = 6. Write =, or ≠ for each . Compare. Write >, <, or = for each .
9. 6 + 2 × 𝑧 𝑧 × 10 − 12 11. 42 + 32 ÷ 4 42 − 32 ÷ 4
10. 9 × 5 − 2𝑧 𝑧 × 6 + 3 12. 15 × 14 − 10 12 × 5 + 0
Answer each question. Use pictures, numbers, or words to show how you know.
13. The Deloise family drove from Pennsylvania to Georgia at a rate of 55 miles an hour. It took them 13 hours. How many total miles did they drive?
14. Name two pairs of roads that are parallel.
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
HW 16.5A
Classify Triangles Practice to review… I can classify triangles! I can classify triangles according to the kinds of angles they have.
Right triangles
have _____ right angle and two acute angles.
Obtuse triangles
have _____ obtuse angle and two acute angles.
Acute triangles
have _____ acute angles
and no right or obtuse angles.
I can also classify triangles according to the number of congruent sides they have.
Equilateral triangles
have _____ congruent sides.
Isosceles triangles
have at least _____ congruent sides.
Scalene triangles
have _____ congruent sides.
Practice to remember… Classify each triangle according to its angles. Tell if it is right, obtuse, or acute.
1.
2.
3.
4.
_________________ _________________ _________________ _________________
Classify each triangle according to its sides. Tell if it is equilateral, isosceles, or scalene.
5.
6.
7.
8.
_________________ _________________ _________________ _________________
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
RE 16.5A
Remembering Practice for fluency… 9. Simplify 30 − 3 × 3 + 1 10. Which expression is equivalent to 13?
a. 18 a. 3 + 4 × 6 ÷ 3 − 1
b. 20 b. 3 + 4 × 6 ÷ 3 − 1
c. 22 c. 3 + 4 × 6 ÷ 3 − 1
d. 82 d. 3 + 4 × 6 ÷ (3 − 1)
Order the numbers from greatest to least. Order the numbers from least to greatest.
11. 9,042 9,204 9,024 13. 3,025 2,976 3,102
__________ __________ __________ __________ __________ __________
12. 11,887 10,012 20,991 14. 48,845 49,854 48,854
__________ __________ __________ __________ __________ __________
Answer each question. Use pictures, numbers, or words to show how you know.
15. Candace bought 90 paper plates for the party. Julie told her that they needed twice that amount. How many paper plates are needed for the party? Explain how you found your answer.
16. June’s class is making decorations for the school play. Each student needs 12 sheets of construction paper. How many sheets will 22 students need? Show how you know.
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
HW 16.5B
Classify Triangles Practice to review… I can classify triangles! I can classify triangles according to the kinds of angles they have.
Right triangles
have _____ right angle and two acute angles.
Obtuse triangles
have _____ obtuse angle and two acute angles.
Acute triangles
have _____ acute angles
and no right or obtuse angles.
I can also classify triangles according to the number of congruent sides they have.
Equilateral triangles
have _____ congruent sides.
Isosceles triangles
have at least _____ congruent sides.
Scalene triangles
have _____ congruent sides.
Practice to remember… Classify each triangle according to its angles and its sides. Tell if it is right, obtuse, or acute. Also tell if it is equilateral, isosceles, or scalene.
1.
2.
3.
4.
_________________ _________________ _________________ _________________
_________________ _________________ _________________ _________________
5.
6.
7.
8.
_________________ _________________ _________________ _________________
_________________ _________________ _________________ _________________
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
RE 16.5B
Remembering Practice for fluency… 9. Which set has a remainder of 3 when
divided into 5 equal groups? 10. Which equation
matches the model?
a. a. 54 ÷ 5 = 10 𝑅 4
b. b. 64 ÷ 3 = 21 𝑅 1
c. c. 64 ÷ 6 = 10 𝑅 4
d. d. 67 ÷ 4 = 22 𝑅 1
Name the polygon. Tell if it is regular or irregular. Write all the names that apply for the quadrilateral.
11.
13.
________________
________________
________________
________________
_________________
_________________
12.
14.
________________
________________
________________
________________
_________________
_________________
Answer each question.
15. Write a number greater than 300,000 with a 5 in the tens place.
16. Complete the table of equivalent measures of length.
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
HW 16.6
Find a Pattern Practice to review… I can find patterns to solve problems! Alan is making a pattern using circles in geometry class.
UNDERSTAND I can describe Alan’s pattern in more than one way. & PLAN I can count the circles in each diagonal… I can count the circles in each row…
I can count all the circles in each figure…
1 3 6 10
SOLVE The next figure will look like this. �
LOOK BACK Let’s check… Does this fit the pattern?
Practice to remember… Find the pattern to solve each problem. Use pictures, numbers, or words to show how you know.
1. Jenny made the pattern below. Describe the pattern. What would be the next two figures and numbers in the pattern?
2. Matthew made the pattern below. Describe the pattern. What would the next two numbers in the pattern be?
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
RE 16.6
Practice to remember, continued… Find the pattern to solve the problem. Use pictures, numbers, or words to show how you know.
3. Maryann made the design below. Describe the pattern. What two figures will complete the pattern?
¯£�¯£�¯£�¯£�
Remembering Practice for fluency… 4. A microscope costs $70. How many
microscopes can you buy with $560? 5. What is the value of n?
81,000 ÷ 𝑛 = 900
a. 6 a. 9
b. 7 b. 90
c. 8 c. 900
d. 9 d. 9,000
Write parallel, intersecting, or perpendicular to best describe the relationship between each pair of lines.
6.
_________________
8.
________________
7.
_________________
9.
________________
Answer each question.
10. Neptune has a diameter of about forty-nine thousand, five hundred kilometers. Uranus has a diameter of about fifty-one thousand, one hundred kilometers. Which diameter is greater? Explain how you know.
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
HW 17.1
Congruent Figures Practice to review… I can identify figures that have the same size and shape!
These figures are congruent.
They have the same __________ and __________.
These figures are not congruent because they are not the same __________.
These figures are not congruent because they are not the same __________.
Practice to remember… Tell if the figures in each pair appear to be congruent. Write congruent, or not congruent. If the figures are not congruent, tell why.
1.
2.
3.
_________________________ _________________________ _________________________
4.
5.
6.
_________________________ _________________________ _________________________
Sketch a figure that is congruent to the figure shown.
7.
8.
Sketch a figure that is the same shape but is not congruent to the figure shown.
9.
10.
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
RE 17.1
Remembering Practice for fluency…
11. 12.
a. 112 a. 187
b. 119 b. 211
c. 172 R 2 c. 240 R 1
d. 179 R 1 d. 247
Complete each sentence. Write greater or less.
13. 51 is _______________ than 55. 14. $30 is _______________ than $20.00.
15. The number of days in a month is _______________ than the number of days in a year.
16. The number of days in a month is _______________ than the number of days in a week. Answer each question.
17. There are 16 players on the baseball team. How much would it cost to order each player a jacket? Show how you know.
18. What is the mode of the data in the line plot? Show how you know.
3 538 3 741
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
HW 17.2
Rotations, Reflections, and Translations Practice to review… I can recognize transformations! A _______________ turns a figure
around a point. A _______________ flips a figure
over a line. A _______________ slides a figure
in a straight line, in any direction.
Practice to remember… Name each transformation. Write rotation, reflection, or translation.
1.
2.
3.
_________________________ _________________________ _________________________
4.
5.
6.
_________________________ _________________________ _________________________
7.
8.
9.
_________________________ _________________________ _________________________
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
RE 17.2
Remembering Practice for fluency… 10. Which figure is a scalene triangle? 11. Which figure is a right triangle?
a.
b.
c.
a.
b.
c.
Look at the graph. Tell whether each statement is true. Circle true or false.
12. The temperature rose between Time A and Time B. true false
13. The temperature stayed the same between Time C and Time D. true false
14. The highest temperature shown is the temperature at Time D. true false
15. The lowest temperature shown is the temperature at Time E. true false
Answer each question.
16. Are all squares rhombuses? Why or why not?
17. Are all rhombuses squares? Why or why not?
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
HW 24.1 Locate Points on a Grid Practice to review… I can use ordered pairs to name points on a grid! An ordered pair names an exact spot on a coordinate grid.
Use the grid below to find the point located at ( 5 , 4 )
The first number in an ordered pair tells how many spaces to move ACROSS the grid from left to right.
Think of counting on a horizontal number line.
The second number in an ordered pair tells how many spaces to move UP the grid from bottom to top.
Think of counting on a vertical number line.
To find the point ( 5 , 4 )first move 5
€
→ spaces
then move 4
€
↑ spaces
Point _____ is at ( 5 , 4 ) .
Now find the coordinates for Point X.
To get to point X,
move _____
€
→ spaces
then move _____
€
↑ spaces
Point X is at ( _____ , _____ )
Practice to remember… Write the ordered pair for each point. Label each point on the grid.
1. E _______ 3. A ________ 5.
€
(7,8) M 7.
€
(8,3) N
2. B _______ 4. C ________ 6.
€
(0,3) X 8.
€
(4,10) Y
V
Y
Z X
T
U
W
A
B
C
D
G
E
F
Name: ___________________________________ Date: _________________
© Lincoln Public Schools, 2013 4th Grade Math
Chapter 16&17
Plane Figures
RE 24.1
Remembering Practice for fluency… 9. The afternoon movie starts at 1:20 P.M. and ends
at 3:05 P.M. How long is the movie? 10. Olga takes a bus to Tampa. The bus leaves at
4:15 P.M. The trip takes 2 hours 50 minutes. At what time will Olga get to Tampa?
a. 2 hours 5 minutes a. 7:05 A.M.
b. 2 hours 15 minutes b. 6:35 P.M.
c. 1 hour 40 minutes c. 6:55 P.M.
d. 1 hour 45 minutes d. 7:05 P.M.
Find each product.
11. 11 × 15 12. 25 × 18
Answer each question.
13. Mindy measures her height as 152. Which metric unit did she probably use? Explain.
14. A runner starts a race at the starting line. A second runner starts at 44 yards. If the first runner moves 7 yards each second and the second runner moves 3 yards each second, when will the first runner catch the second runner? Show how you know.