name: block: #3 due date: · 2016. 11. 27. · 6.11 the student will . a) identify the coordinates...

NAME:_________________________ BLOCK:______ Due date: _____________

Measurement/Geometry

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#3

MATH 6 SOL PRACTICE PACKET

SOL DATES: B-Day: Monday, June 1 A-Day: Tuesday, June 2

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Reporting Category: Measurement and Geometry Number of Items: 12 Standards of Learning: 6.9 The student will make ballpark comparisons between measurements in the U.S. Customary System of measurement and measurements in the metric system. 6.10 The student will a) define π (pi) as the ratio of the circumference of a circle to its diameter; b) solve practical problems involving circumference and area of a circle, given the diameter or adius; c) solve practical problems involving area and perimeter; and d) describe and determine the volume and surface area of a rectangular prism. 6.11 The student will a) identify the coordinates of a point in a coordinate plane; and b) graph ordered pairs in a coordinate plane. 6.12 The student will determine congruence of segments, angles, and polygons. 6.13 The student will describe and identify properties of quadrilaterals.

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6.9 METRIC-CUSTOMARY MEASUREMENT

PRACTICE:

(1) The length of a television screen is 60 centimeters. Which measurement is closest to the length of this screen?

(a) 24 feet (b) 24 inches (c) 152 feet (d) 152 inches

(2) Rick is putting water into a 2-gallon cooking pot using a 1-liter container. About how many times will Rick have to use the 1-liter container to fill the 2-gallon cooking pot?

(a) 4 (b) 6 (c) 8 (d) 12

(3) Harvey bought an apple that weighs 3 ounces. Which is closest to the mass of the apple?

(a) 25 grams (b) 31 grams (c) 56 grams (d) 84 grams

(4) Which of these lengths is the greatest?

(a) 15 meters (b) 20 yards (c) 675 inches (d) 1,250 centimeters

(5) Paige ran a 5-kilometer race. Which is closest to the distance she ran?

(a) 30 miles (b) 8 miles (c) 3.1 miles (d) 0.32 mile

(6) Roger can bench press 150 pounds. Which is closest to the mass he can bench press?

(a) 75 kilograms (b) 150 kilograms (c) 300 kilograms (d) 600 kilograms

(7) Which measurement represents the shortest length?

(a) 25 inches (b) 1.5 feet (c) 2 meters (d) 110 centimeters

TIPS: Temperature °F °C 212 BOIL 100 98 BODY 37 70 ROOM 20 32 BRRR 0

TIPS: Length 1 inch ≈ 2.5 cm (finger knuckle & pinkie width) 1 foot ≈ 30 cm 1 meter ≈ 1 yard 1 yard = 3 feet 1 foot = 12 inches (size of floor tile at school) 1 mile is longer than 1 kilometer 1mi ≈ 1.6 km (hint: 5K = 3 mi) 1 km ≈ 0.6 mi

TIPS: Capacity 1 liter ≈ 1 quart 4 qts = 1 gallon 4 cups = 1 qt.

G Q

Q Q

Q P P P

P P P P P

cc cc

cc cc

cc cc cc

cc

TIPS: Mass Weight is affected by gravity Mass does not change with gravity 1 ounce ≈ 28 grams 1 nickel weighs about 5 g 1 kilogram ≈ 2 pounds 1kg.

2lb.

(Calculator use permitted.)

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6.10a-b CIRCLES TIPS: Circumference (C) = distance around a circle (perimeter) Diameter (d) = distance all the way across a circle Radius (r) = distance halfway across a circle π (pi) is the ratio of the Circumference to the Diameter (C/d) Use 3.14 for π C = πd or C = 2πr Area (A) = πr2 (3.14 x radius x radius)

PRACTICE: (1) The diameter of the circular base of a storage container is 18.8 meters. The circumference of the base is approximately 59 meters. Which of these could be used to estimate the value of π ?

(a) 9.459

(b) 599.4

(c) 18.859

(d) 5918.8

(2) The circular campfire site at Camp Willow has a diameter of 5 yards. Which is closest to the area of this campfire site?

(a) 15.7 sq yd (b) 19.6 sq yd (c) 31.4 sq yd (d) 78.5 sq yd

(3) (4)

(5)


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6.10C AREA/PERIMETER TIPS: Perimeter is the distance AROUND a region Perimeter uses PLAIN units (cm) Area COVERS a region Area uses SQUARE units (cm2) “PERIMETER PLAIN – AREA SQUAREA” The base and height of a triangle are

always at right angles to each other To find area or perimeter,

1. write the formula 2. replace letters with numbers 3. follow PEMDAS & write the units. “FORMULA – SUBSTITUTE – SOLVE”

PRACTICE:

(1) Directions: Circle a number to choose each measurement you want to select. You must select the two correct measurements.

Mr. Miller is putting a border around the edges of a rectangular ceiling. The perimeter of the ceiling is 18 meters. Identify the measurements that could be the two dimensions of the ceiling. (2) (3)

A(rectangle) = lw A(square) = s2 A(triangle) = ½ bh P(rectangle) = 2l + 2w P(square) = 4s P(triangle) = add the 3 sides

2 meters 3 meters 4 meters 5 meters 8 meters 9 meters

Use the figure in #2 to answer the following question.


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(4)

(5)

(6)

HINT: NOTICE IT CAN BE CUT INTO TWO CONGRUENT TRIANGLES ;)

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6.10d SURFACE AREA/VOLUME TIPS: A rectangular prism is a box shape with 6 rectangular faces. Surface Area COVERS the surface of an object. “Area Squarea!” SA uses square units (cm2). Volume FILLS the inside of an object. “V-3!” Volume uses cubic units (cm3). To find surface area or volume,

1. write the formula 2. replace letters with numbers 3. follow PEMDAS & write the units. “FORMULA – SUBSTITUTE – SOLVE”

PRACTICE: (1) The measurements of a rectangular prism are shown. What is the total surface area of this prism?

(a) 39 square inches (b) 45 square inches (c) 66 square inches (d) 78 square inches

(2) (3)

SA = 2lw + 2lh + 2wh (add the area of all 6 faces) V = lwh

3 in.

3 in. 5 in.

volume


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6.11 COORDINATE PLANE TIPS: (x,y) coordinates define the position of a point on a plane. The x-axis is horizontal (side-to-side). The y-axis is vertical (up & down). The axes cross at the ORIGIN, (0,0). To read or graph a point, FIRST go SIDEWAYS, then go up or down. Positive numbers are RIGHT and UP. Negative numbers are LEFT and DOWN. Quadrants are named with Roman Numerals. They begin in the upper right and go

counter-clockwise. Use a large “C” to help guide their placement. PRACTICE: (1) In which quadrant is the point (17,-18) located?

(a) Quadrant I (b) Quadrant II (c) Quadrant III (d) Quadrant IV (2) Which line segment most likely connects points located at (-4,3) and (4,3) on the coordinate grid above? (a) 𝑂𝐺�� (b) 𝐺𝐵�� (c) 𝑃𝑂�� (d) 𝐵𝑃�� (3) Use the given numbers to create an ordered pair representing a point located on the x-axis. Write each selected number in the correct box.

( , )

-6 0 -2 3 5


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(4) Which graphed point is best represented by (-7,0) ?

(a) Point K (b) Point L (c) Point M (d) Point N (5) (6)

N

K M

L

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6.12 CONGRUENCY TIPS: CONGRUENT means SAME SIZE and SAME SHAPE. ≅ is the symbol for congruent. On a drawing of a polygon, slash marks mean same length. Arcs show same size angles. Corresponding means being in the same place on different figures. On congruent figures, corresponding sides will have the same length, and corresponding

angles will have the same measure.

PRACTICE: (1) Figures LMNPQR and TUVWXY are congruent. Which line segment in figure TUVWXY must be congruent to 𝐿𝑅�� ? Write your answer in the box. Line Segment (2) (3)

L

M

N P

Q

R V

T

U

Y X

W


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(4) (5) (6) (7)

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6.13 QUADRILATERALS TIPS: To name a quadrilateral, look for 3 things:

-How many sets of parallel sides it has -Does it have 4 right angles -Does it have 4 congruent sides

On a drawing, slash marks mean same length. Arrow heads mean parallel sides. Quadrilateral: no parallel or congruent sides Kite: no parallel sides; adjacent sides are congruent Trapezoid: ONE set of parallel sides. If non-parallel sides are congruent it is isosceles. Parallelogram: TWO sets of parallel sides. Opposite sides are congruent. Opposite

angles are congruent. Rectangle: a parallelogram with 4 right angles. Rhombus: a parallelogram with 4 equal sides. Square: a rectangle with 4 equal sides. or a rhombus with 4 right angles. Draw your Venn diagram & “dancing man” for a brain dump

(“placemat, 2 cups, plate with 2 overlapping pancakes”)

PRACTICE:

(1) Which property is common to all quadrilaterals? (a) Four angles (c) Four congruent sides (b) Opposite sides parallel (d) Opposite angles congruent (2) A trapezoid is a quadrilateral with exactly — (a) one pair of congruent sides (c) one pair of parallel sides (b) four congruent angles (d) four congruent sides (3) Which figure appears to be a rhombus with four right angles? (a) (c) (b) (d)

QUADS

RCT RHM

KITE

TRPZ SQ

PARALL

Q K T P RT RH S

≅

≅ ||

||

0 1

2


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name: block: #3 due date: · 2016. 11. 27. · 6.11 the student will . a) identify the coordinates...

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