ALGEBRA (7.2.x.x)

Grade 7 MCA #9

Name:

ALGEBRA (7.2.x.x)

Vocabulary Benchmark

7.2.3.2 Evaluate algebraic expressions containing rational numbers and whole number exponents at specified values of their variables. (note: Expressions contain no more than 3 variables)

evaluate, substitute

For example: Evaluate the expression

1 3

(2x

5)2

at

x

=

5.

7.2.3.3 Apply understanding of order of operations and grouping symbols when using calculators and

other technologies. (Assessed within 7.2.3.1 and 7.2.3.2)

For example: Recognize the conventions of using a caret (^ raise to a power) and asterisk (* multiply); pay careful attention to

the use of nested parentheses.

Emerging Understanding Question

Partially Proficient Question

SHOW YOUR WORK!

SHOW YOUR WORK!

What is the value of each expression if a=4, b=5, c=3

4

a + b

2c

-7a

+

Proficient Question

SHOW YOUR WORK!

Exceeding Standard Question

Evaluate: - for a = 12, b=42 and c=6

b. Evaluate the expression you wrote for the following values.

Evaluate: p ? q + r ? q ? p for p=5, q=2 & r=14

x = 17'

x = 15.5'

x = 7 feet

8

Circle the statement that best matches your personal understanding of today's benchmark.

BENCHMARK

DOES NOT MEET STANDARD

PARTIALLY MEETS STANDARD

MEETS STANDARD EXCEEDS STANDARD

7.2.3.2

I do not understand this standard

I understand some parts of this standard

I am confident I can do problems on this standard correctly.

I understand this standard so well I can explain it to friends.

Grade 7 MCA #9 part 2

ALGEBRA (7.2.x.x)

Vocabulary Benchmark

solve

7.2.4.1 Represent relationships in various contexts with equations involving variables and positive and

negative rational numbers. Use the properties of equality to solve for the value of a variable. Interpret the solution in the original context. For example: Solve for w in the equation P = 2w + 2 when P = 3.5 and = 0.4.

Another example: To post an Internet website, Mary must pay $300 for initial set up and a monthly fee of $12. She has $842 in savings, how long can she sustain her website?

Emerging Understanding Question

Partially Proficient Question

What does an equal sign mean?

3

=

12 4

Solve each equation for the variable.

5x = 15

x ? 7 = 19

3x + 7 = 31

Proficient Question

Choice B is the correct solution. Why? Show your work.

Exceeding Standard Question

Choice A is the correct solution? Why?

Show your work by solving the equation.

Explain your choice:

Circle the statement that best matches your personal understanding of today's benchmark.

BENCHMARK

DOES NOT MEET STANDARD

PARTIALLY MEETS STANDARD

MEETS STANDARD

EXCEEDS STANDARD

7.2.4.1

I do not understand this standard

I understand some parts of this standard

I am confident I can do problems on this standard

correctly.

I understand this standard so well I can explain it to friends.

Grade 7 MCA #9 part 3

ALGEBRA (7.2.x.x)

Vocabulary Benchmark

7.2.4.2 Solve equations resulting from proportional relationships in various contexts. equation For example: Given the side lengths of one triangle and one side length of a second triangle that is similar to the first, find the remaining side

lengths of the second triangle. Another example: Determine the price of 12 yards of ribbon if 5 yards of ribbon cost $1.85.

Emerging Understanding Question

Partially Proficient Question

Solve each equation for x.

WHY IS `B' THE CORRECT SOLUTION?

3x = 27

147 = 28x

-24.2x = -484 A map uses the scale 1.5 cm = 25 mi. Two cities are 190 miles apart. How far apart are the cities on the map?

A. 0.21 cm C. 2,917 cm

B. 11.4 cm D. 6,563 cm

8 =

11 55

54 = 135

108

= 48

3 72

In

a

scale

drawing,

1 2

inch

represents

3

feet.

If

the

same

scale is used, how many inches will be needed to

represent 24 feet?

A. 2 inches C. 8 inches

B. 4 inches D. 12 inches

Proficient Question

SHOW YOUR WORK!

Exceeding Standard Question

A rhinoceros beetle weights 30 grams and can carry 850 times its body weight. If a person can carry proportionally as much as the rhinoceros beetle, how much could a 60kilogram (kg) student carry?

Benton is planting grass. Grass seed covers 250 square feet per pound of seed. How many pounds are needed to seed a lawn measuring 50 feet by 100 feet?

Circle the statement that best matches your personal understanding of today's benchmark.

BENCHMARK DOES NOT MEET STANDARD

PARTIALLY MEETS STANDARD

MEETS STANDARD

EXCEEDS STANDARD

7.2.4.2

I do not understand this standard

I understand some parts of this standard

I am confident I can do problems on this standard correctly.

I understand this standard so well I can explain it to friends.

Grade 7 MCA #11

Name:

GEOMETRY AND MEASUREMENT (7.3.x.x)

Directions: Define Each term with words and a picture.

Similar

Corresponding

Scale factor

Vocabulary

Benchmark

Allowable notation: ~ (similar), (congruent), FG (segment FG), FG

7.3.2.1 Describe the properties of similarity, compare geometric figures for

(length of segment FG)

similarity, and determine scale factors.

similar, corresponding, scale factor For example: Corresponding angles in similar geometric figures have the same measure.

Emerging Understanding Question

Partially Proficient Question

Each set of shapes is similar. What is the scale factor?

Proficient Question

Exceeding Standard Question

Drawings 2 and 3 are scale drawings of Drawing 1. The scale factor from Drawing 1 to Drawing 2 is 75% and the scale factor from Drawing 2 to Drawing 3 is 50%. Find the Scale factor from Drawing 1 to Drawing 3.

Circle the statement that best matches your personal understanding of today's benchmark

BENCHMARK

DOES NOT MEET STANDARD

PARTIALLY MEETS STANDARD

MEETS STANDARD

EXCEEDS STANDARD

7.3.2.1

I do not understand this standard

I understand some parts of this I am confident I can do problems

standard

on this standard correctly.

I understand this standard so well I can explain it to friends.

Grade 7 MCA #11 part 2

GEOMETRY AND MEASUREMENT (7.3.x.x)

Vocabulary

Benchmark

Allowable notation: ~ (similar), 7.3.2.2 Apply scale factors, length ratios and area ratios to determine side lengths and

(congruent), FG (segment FG), areas of similar geometric figures. For example: If two similar rectangles have heights of 3 and 5,

FG (length of segment FG) similar, corresponding, scale factor and the first rectangle has a base of length 7, the base of the second rectangle has length

35 3

.

Emerging Understanding Question

Partially Proficient Question

Solve for x.

Proficient Question

Why is `B' the correct solution?

Exceeding Standard Question

The sun creates a shadow of a tree and a 5-foot boy creating similar triangles. What is the height of the tree?

Circle the statement that best matches your personal understanding of today's benchmark.

BENCHMARK DOES NOT MEET STANDARD

PARTIALLY MEETS STANDARD

MEETS STANDARD

EXCEEDS STANDARD

7.3.2.2

I do not understand this standard

I understand some parts of this standard

I am confident I can do I understand this standard

problems on this standard so well I can explain it to

correctly.

friends.

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