Use the ruler provided to measure the dimensions of the parallelogram shown to the nearest ½ centimeter.

Which measurement is closest to the area of the parallelogram in square centimeters?
Choices:
40 cm²
45.5 cm²
34 cm²
56 cm²

Answer:

Enduring Understandings:

The square roots of perfect squares are rational numbers.

The square roots of non-perfect squares are irrational numbers.

Many geometric properties and attributes of shapes are related to

measurement.

General Learning Outcomes:

Develop number sense.

Use direct or indirect measurement to solve problems.

Specific Learning Outcome(s): Achievement Indicators:

8.N.1 Demonstrate an understanding

of perfect squares and square

roots, concretely, pictorially, and

symbolically (limited to whole

numbers).

[C, CN, R,V]

 Represent a perfect square as a square

region using materials, such as grid paper

or square shapes.

 Determine the factors of a perfect square,

and explain why one of the factors is the

square root and the others are not.

 Determine whether or not a number is

a perfect square using materials and

strategies such as square shapes, grid paper,

or prime factorization, and explain the

reasoning.

 Determine the square root of a perfect

square, and record it symbolically.

 Determine the square of a number.

8.N.2 Determine the approximate

square root of numbers that are

not perfect squares (limited to

whole numbers).

[C, CN, ME, R, T]

 Estimate the square root of a number that

is not a perfect square using the roots of

perfect squares as benchmarks.

 Approximate the square root of a number

that is not a perfect square using technology

(e.g., calculator, computer).

continued

4 Grade 8 Mathematics: Suppor t Document for Teachers

Specific Learning Outcome(s): Achievement Indicators:

 Explain why the square root of a number

shown on a calculator may be an

approximation.

 Identify a number with a square root that is

between two given numbers.

8.SS.1 Develop and apply the

Pythagorean theorem to solve

problems.

[CN, PS, R, T, V]

 Model and explain the Pythagorean

theorem concretely, pictorially, or by using

technology.

 Explain, using examples, that the

Pythagorean theorem applies only to

right triangles.

 Determine whether or not a triangle

is a right triangle by applying the

Pythagorean theorem.

 Solve a problem that involves determining

the measure of the third side of a right

triangle, given the measures of the other

two sides.

 Solve a problem that involves Pythagorean

triples (e.g., 3, 4, 5 or 5, 12, 13).

Prior Knowledge

Students may have had experience with the following:

Q Demonstrating an understanding of regular and irregular 2-D shapes by

Q recognizing that area is measured in square units

Q selecting and justifying referents for the units cm² or m²

Q estimating area by using referents for cm² or m²

Q determining and recording area (cm² or m²)

Q constructing different rectangles for a given area (cm² or m²) in order to

demonstrate that many different rectangles may have the same area

Q Solving problems involving 2-D shapes and 3-D objects

Q Designing and constructing different rectangles given either perimeter or area, or

both (whole numbers), and drawing conclusions

Q Identifying and sorting quadrilaterals, including

Q rectangles

Number 5

Q squares

Q trapezoids

Q parallelograms

Q rhombuses

according to their attributes

Q Developing and applying a formula for determining the

Q perimeter of polygons

Q area of rectangles

Q volume of right rectangular prisms

Q Constructing and comparing triangles, including

Q scalene

Q isosceles

Q equilateral

Q right

Q obtuse

Q acute

in different orientations

Background Information

Squares and Square Roots

A square is a 2-dimensional (2-D) shape with all four sides equal.

The total area the square covers is measured in square units.

To determine the side length of a square when given the area, the square root must be

determined.

A perfect square can be described as

Q a square with whole number sides (e.g., 1 × 1, 2 × 2, 3 × 3)

Q a number whose square root is an integer (e.g., 4 = 2 or –2)

A non-perfect square can be described as

Q a square with non-whole number sides (e.g., 1.2 × 1.2)

Q a number whose square root is not a whole number (e.g., 2)

Rounding is often used to determine the approximate square root of non-perfect

squares.

Step-by-step explanation:

4. The current temperature is 8°F. The temperature is expected to be 3
degrees below zero by noon. How many degrees is the temperature
expected to change?
A-11°
B. -3°
C 5°
D. 8°

PLEASE HELP ASAP! MARKING BRAINLIEST!! Only do the first column. PLease please don't put anything silly, i give out points all the time.

if the volume of the solid below is 378 cubic inches, what is the height of the solid?​

Ray drove her car for 2 1/4 h and traveled 217.35 km. If she drives her car at the same speed for 3 hours, how many km will Ray travel?

A statistics student records the servings of vegetables Natalia and Zane eat each weekday. The table shows the results.

1. An angle bisector of a triangle is also an altitude. Prove the triangle is isosceles.
2. A median of a triangle is also an altitude. Prove the triangle is isosceles.
3.Prove that corresponding altitudes in congruent triangles are congruent.
Use statement reason proof for these questions. Do not do random answer for points or i will report you

1. A 25% discount on a skateboard is $24.75. What is the cost before the discount?
2.At a music store, Rita got a $12 discount on an item originally priced at $48. What percent discount did she get?
3.Masako had a $25-off coupon on a purchase of $100 or more at a department store. She bought a jacket for a price of $125. What is the percent discount on her purchase?
Background info for 4: Masako’s sister Kazuko also had a $25-off coupon. She bought a rain jacket for $110 at the same store.
4.Which sister got the greater percent discount?
Background for 5 and 6: Aladar used a 20%-discount coupon to buy a new smartphone priced at $95. When he got to the telecom store, he learned that they were having a 30%-off sale. The clerk calculated the 30% discount first and then applied the 20%-off coupon to the discounted amount.
5.What should be the final price (without sales tax)?
6.If there was an 8% sales tax what would the new final price?

The problem we are working is:

Sara’s boss informed her she is getting a 5% raise. She currently makes $22 per hour. What is her new hourly wage?

Use your plan of multiplying 5100 and $22. What is the amount of Sara's raise?

Kyle measured the length, width, and height of a donut box after all the donuts had been eaten. His measurements are shown below.
What is the volume of the donut box?

the area, a, of a trapezoid is given by the formula a=1/2h(c+d), where h is the height and c and d are the lengths of the bases rearrange the formula so that the height h of the trapezoid can be determined given the area and the lengths of the bases enter your answer in the box

I really need help with this:)

The distance that a object covered in time was measured and recorded in the table below. What equation describes the motion

y = -1.5x
y = -1.5x + 2.5
y = 1.5x + 2.5
y = 1.5x

I need help! Willy is creating a garden. This is the diagram of Willy’s garden. What is the area of the garden he is going to build?

can you help me plssss

complete the ratio table by finding the missing value

Find the surface area of the following triangular prism.



surface area = ___ ft2

plz help its a benchmark

gavusto was asked to generate several expressions that would be equivalent to the one below for each of his expressions determine whether they are in fact equivalent Mark yes or no. 6x + 9x - 18y​

DUE IN 5 MINUTES PLZ HELP LOL:)

please help 3 time askingggg help meeee

I need help! I only have 15 minutes to solve this!

what is the interquartile range of the data shown in the box plot

PLEASE HELP FAST!!!

Jeremy bought a new pair of jeans. The jeans
regularly cost $30, but they are on sale for
10% off. There is a 6% sales tax on his
purchase. How much will Jeremy pay
altogether for the jeans ?

Which expression is equivalent to (−8x+2)−(6x+9)?

write an equation of the line that is parallel to points (-3,3),(0,1) and passes through the point (0,9)?? help lol

With a coupon, you can get a pair of shoes that normally costs $84 for only $72.

What percentage was the discount?

Explain your reasoning.

I just need the reasoning - I already have the answer - please help me

One Step Inequalities pls help me
TROLL FOR POINTS= REPORT

CORRECT ANSWER= BRAINLIEST

( NO LINKS )

Find the area of each figure.

What is
5/100x$22
if you get it right i will mark you as brainliest

PLEASE HELP ASAP!!! PLEASE!!!!
The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store in the previous year.

A graph shows the Number of Bushels on the x-axis and the Price of Corn in dollars on the y-axis. The x-axis scale is shown from 0 to 14 at increments of 2, and the y-axis scale is shown from 0 to 98 at increments of 14. A straight line joins the ordered pairs 2, 14 and 4, 28 and 6, 42 and 8, 56 and 10, 70 and 12, 84.
Previous Year
Number of Bushels
Price of Corn (dollars)
2
10
4
20
6
30
8
40
Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value.
Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work.