pbl5 6th grade math standards based rubric · intermediate beginning no evidence of understanding...

PBL5 – 6TH GRADE MATH STANDARDS BASED RUBRIC

Learning Expectations

(TEKS) Assignment Type

ADV PRO BEG IP

Student generates equivalent forms

of whole numbers, fractions,

decimals and connect the

understanding to converting whole

numbers, fractions and decimals to

percents

Student understands how to write

whole numbers as fractions and

decimals, how to write fractions as

mixed numbers, improper fractions

and decimals, and how to use place

value to write decimals as fractions

in lowest terms involving real world

applications

Intermediate Beginning

No Evidence of

Understanding

or

Work

Provided

Uses greatest

common factor or

multiple and least

common multiple

to create

equivalent

fractions.

Identifies greatest

common

factor/multiple,

least common

multiple

6.1b Generate equivalent forms of rational numbers including whole numbers, fractions (including mixed numbers and improper fractions), and decimals (including repeating, terminating, and non-terminating) in real world applications

Homework

Practice

Workshop

Deliverable (final

project) – Fractional part

of Texas effected by the

pipeline written as fraction

in lowest term and decimal

Assessment



ADV PRO BEG IP

Student solves real world

application problems using

proportions and determines if a

situation is proportional or non-

proportional

Student understands how to set up

and solve proportions using

multiplication or division involving

real world applications


No Evidence of

Understanding

or

Work

Provided

Uses ratios (part-to-

part and part-to-

whole

relationships) to

describe

proportional

situations

Represents ratios

and percents with

[concrete]

models, fractions

(proper and

improper) and

decimals

6.3C Use ratios to make predictions in proportional situations using intuitive methods (such as unit-rate method, factor-of-change approach, or a graphical/visual approach).

Homework

Practice

Workshop

Deliverable (final

project) – Predict

number of spills per year

by 2014 based on 2013 data

Assessment



ADV PRO BEG IP

Student uses tables and symbols to

represent and describe

proportional and non-proportional

relationships involving

conversions, perimeter, and area

Student uses tables and symbols to

represent and describe proportional

and other relationships involving

conversions, perimeter,

circumference, and area


No Evidence of

Understanding

or

Work

Provided

Uses tables to

generate formulas

representing

relationships

involving

perimeter, area

and volume of

rectangular prisms

Uses letters as

variables in

mathematical

situations

6.4A Use tables and symbols to represent and describe proportional and other relationships such as those involving conversions, arithmetic sequences (with a constant rate of change), perimeter, and area; and graph relationships represented in tables to determine whether the relationships are proportional or non-proportional.

Homework

Practice

Workshop

Deliverable (final

project) – Create table to

show the number of miles

per county in Texas used

for the Keystone XL

Pipeline

Assessment



ADV PRO BEG IP

Student extends understanding of

the relationship between diameter

and radius when finding volume of

a cylinder and uses 3.14 or 𝟐𝟐

𝟕 as pi.

Student describes the relationship

between radius, diameter, and

circumference when circumference

is known and the diameter or radius

is unknown

Intermediate Beginning No Evidence of

Understanding

or

Work

Provided

Student uses

formula found on

the Math Reference

Chart and estimates

pi as 3

Locates

circumference

formula on the

Math Reference

Chart

6.6C Describe the relationship between radius, diameter, and circumference of a circle; and develop the formula for circumference of a circle.

Homework

Practice

Workshop

Deliverable (final

project) – Describe

process for finding the

circumference of Can

Sculpture

Assessment



ADV PRO BEG IP

Identifies relationship involving

angles in triangles and classifies

triangles by their angles and sides

Uses angle measurement to classify

angles as acute, obtuse, or right


Understanding

or

Work

Provided

Estimate measure

of angles using

pictorial model

Measure angles

using protractor

or pictorial

representation of

a protractor

6.6 The student uses geometric vocabulary to describe angles, polygons, and circles

Homework

Practice

Workshop

Deliverable (final

project) –

Assessment

PBL5 – 7TH GRADE MATH STANDARDS BASED RUBRIC



ADV PRO BEG IP

Student generates equivalent forms

of whole numbers, fractions,

decimals and connect the

understanding to converting whole

numbers, fractions and decimals to

percents greater than 100%

Converts between equivalent forms

of whole numbers, decimals

(including repeating, terminating,

and non-terminating), fractions

(including converting mixed

numbers, proper and improper

fractions, and complex fractions to

decimals using division), and

percents in real world applications


No Evidence of

Understanding

or

Work

Provided

Understands that

percent means out

of 100 and writes

precents as

fractions in lowest

terms

Writes whole

numbers as

fractions and

decimals, fractions

as mixed numbers,

improper fractions

and decimals, and

uses place value to

write decimals as

fractions in lowest

terms / Memorizes

benchmark

equivalents

7.1B Convert between fractions, decimals, whole numbers, and percents presented in application problems mentally, on paper, or with a calculator or using operations and definitions.

Homework

Practice

Workshop

Deliverable (final

project) – Fractional part

of Texas effected by the

pipeline written as fraction

in lowest term , decimal,

and percent

Assessment



ADV PRO BEG IP

Determines percent of increase or

percent decrease from data is

provided in a table

Estimates and solves application

problems involving percent,

including percent of increase,

percent of decrease, and percent of

a number (tax, discount, tip, rebate,

and commission)


No Evidence of

Understanding

or

Work

Provided

Uses ratios (part-to-

part and part-to-

whole

relationships) to

describe percents

as proportional

Represents ratios

and percents with

[concrete]

models, fractions

(proper and

improper) and

decimals

7.3A Estimate and find solutions to application problems involving percent using a variety of strategies including concrete or pictorial models, benchmarks, and finding patterns with or without the use of calculators.

Homework

Practice

Workshop

Deliverable (final

project) – What percent

of the Keystone XL Pipeline

is located in Texas?

Assessment



ADV PRO BEG IP

Estimates and finds solutions to

application problems involving

situations finding scale factor

Estimates and finds solutions to


similarity, scaling, unit costs, and

related measurement units


No Evidence of

Understanding

or

Work

Provided

Sets up and solves

proportions from

problem situations

using comparisons

within and

between terms

Use division to

find unit rates and

ratios in

proportional

relationships such

as speed, density,

price, recipes, and

student-teacher

ratio

7.3B Estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units using intuitive methods (such as unit-rate method, factor-of-change approach, or a graphical/visuals approach).

Homework

Practice

Workshop

Deliverable (final

project) – Create table to

show the number of miles

per county in Texas used

for the Keystone XL

Pipeline

Assessment



ADV PRO BEG IP

Extends using critical attributes of

similarity from 2-dimensionsl

figures to 3-dimensional figures

Defines similar polygons as having

proportional corresponding sides

and having congruent

corresponding angles, and uses

proportions to find missing sides


Understanding

or

Work

Provided

Find missing angles

in congruent

triangles and

quadrilaterals.

Uses properties to

classify triangles,

quadrilaterals

and 3-dimensional

figures

7.6D Use critical attributes to define similarity (including corresponding parts and congruent angles); use those attributes to determine if two figures are similar, and to identify proportional relationships of similar shapes.

Homework

Practice

Workshop

Deliverable (final

project) – Use similar

triangles and quadrilaterals

to create a Montage of

aerial view of assigned

Keystone Pipeline state

Assessment



ADV PRO BEG IP

Estimates measurements and use

formulas to solve application

problems involving lateral and total

surface area

Estimates measurements to solve


length including circumference,

perimeter, and area of polygons and

other figures while distinguishing

between the types of units used

(linear and square units) and finding

missing dimensions


No Evidence of

Understanding

or

Work

Provided

Locates and uses

ruler and

appropriate

formulas on the

Math Reference

Chart to solve

problems involving

circumference,

perimeter, and area

Represents

squares and

square roots

using geometric

models

MATH.7.9A Estimate measurements, solve application problems involving length (including perimeter and circumference) and area of polygons and other figures utilizing conversions and formulas and distinguish between the types of units used (linear or square units).

Homework

Practice

Workshop

Deliverable (final

project) – Determine the

dimensions and total area

of the Tile Mural to be

donated to the museum

Assessment



ADV PRO BEG IP

Extends understanding of volume

by using V=Bh to find volume of

various types of prisms such as

trapezoidal prisms, pentagonal

prisms, and hexagonal prisms

Estimates measurements to solve


length including volume of prisms

and cylinders including finding

missing dimensions while

distinguishing the type of unites

used such as cubic units


No Evidence of

Understanding

or

Work

Provided

Connects models for

volume of prisms

(triangular and

rectangular) and

cylinders to

formulas of prisms

(triangular and

rectangular)

matching nets and

models to

appropriate

formulas

Locates and uses

ruler and

appropriate

formulas on the

Math Reference

Chart to solve

problems

involving

volume of prisms

and cubes

7.9C Estimate measurements, solve application problems involving volume of prisms (rectangular and triangular) and cylinders using the dimensions of a given figure and conversions and formulas, and distinguish the type of units used as cubic units.

Homework

Practice

Workshop

Deliverable (final

project) – Determine the

total volume of items used

to create the Can Sculpture

Assessment



ADV PRO BEG IP

Extends use of geometric concepts

to make a model of the Earth

structure

Uses symmetry, scaling and

similarity, and congruence and

properties of 2- and 3-dimensional

figures to solve problems in Art


No Evidence of

Understanding

or

Work

Provided

Identify the three-

dimensional figure

that a net represents

Make a net (two-

dimensional

model) of the

surface area of a

three-

dimensional

figure

7.8C Use geometric concepts (including symmetry and transformations, scaling and similarity, and congruence) and properties of two- and three-dimensional figures to solve problems in fields such as art and architecture.

Homework

Practice

Workshop

Deliverable (final

project) – Digital Art

portfolio contains student

expressions using

geometric figures

Assessment

pbl5 6th grade math standards based rubric · intermediate beginning no evidence of understanding...

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