Course: Algebra / Geometry

2007-08

Course Syllabus Template

Time MPS Learning Targets Wisconsin State Assessment Descriptors / Curriculum Targeted

Frame Standards Specifications Units District

(textbook / CABS

lessons,

supplementary

materials)

Suggested Learning Target *2.0

timeline:

B.6* Students will determine reasonableness of Use a variety of

answers. mathematical tools to

determine measurements

directly (ruler, protractor, D.2* Students will select and use tools with

compass) and to determine appropriate degree of precision to

determine measurements directly. reasonableness of answers.

When students apply

technology, e.g., computers

and graphing calculators,

they will interpret results

appropriately.

Developed by the Milwaukee Mathematics Partnership (MMP) with support by the National Science Foundation under Grant No. 0314898.

Course: Algebra / Geometry

2007-08

Time MPS Learning Targets Wisconsin State Assessment Descriptors / Curriculum Targeted

Frame Standards Specifications Units District

(textbook / CABS

lessons,

supplementary

materials)

Suggested Learning Target *3.0

timeline:

E.1* Students will organize, display, compare Use data in a variety of

and interpret data in a variety of ways in formats to summarize,

mathematical and real-world contexts, e.g.,

predict, and analyze real-

histograms, line graphs, stem-and-leaf

world applications. plots, scatter plots, box and whiskers, bar

charts, Venn diagrams, tables, circle

graphs.

E.2* Students will interpret, analyze and make

predictions from organized and displayed

data, e.g., measures of central tendency,

measures of variation such as standard

deviation, mean, median, mode, range,

dispersion, outliers, line of best fit,

percentiles.

Developed by the Milwaukee Mathematics Partnership (MMP) with support by the National Science Foundation under Grant No. 0314898.

Course: Algebra / Geometry

2007-08

Time MPS Learning Targets Wisconsin State Assessment Descriptors / Curriculum Targeted

Frame Standards Specifications Units District

(textbook / CABS

lessons,

supplementary

materials)

Suggested Learning Target *4.0

timeline:

E.3* Students will analyze, evaluate and critique Use a variety of counting

methods and conclusions of statistical methods to identify all

experiments, e.g., randomness, sampling,

possible occurrences of techniques, surveys.

events. Apply this

information to analyze, E.4* Students will determine the likelihood of

occurrence of simple and complex events, critique, and predict the

e.g., combinations and permutations, results of statistical

fundamental counting principle, experiments.

experimental versus theoretical probability

and independent, dependent and

conditional probability.

Developed by the Milwaukee Mathematics Partnership (MMP) with support by the National Science Foundation under Grant No. 0314898.

Course: Algebra / Geometry

2007-08

Time MPS Learning Targets Wisconsin State Assessment Descriptors / Curriculum Targeted

Frame Standards Specifications Units District

(textbook / CABS

lessons,

supplementary

materials)

Suggested Learning Target *5.0

timeline:

B.1* Students will compare and order real Compare, perform, explain

numbers. and evaluate mathematical

B.2* Students will analyze and solve problems operations (+, -, *, /,

using percents.

exponents, roots) and B.3* Students will apply proportional reasoning

properties on real numbers, and ratios in mathematical and real-world

contexts. emphasizing: negative and

B.4* Students will compare, perform and positive numbers; ratios,

explain operations on real numbers with proportions and percents;

and without context, e.g., transitivity, rate

and exponents and roots in of change, exponential functions, scientific

mathematical and real-world notation, roots, powers, reciprocals,

absolute value, ratios, proportions, applications.

percents.

B.5* Students will select and use appropriate

properties, computational procedures, and

modes of representation with and without

context, e.g., simple and compound

interest, commission, percents,

proportions.

F.6* Students will demonstrate understanding

of properties by evaluating and simplifying

expressions.

Developed by the Milwaukee Mathematics Partnership (MMP) with support by the National Science Foundation under Grant No. 0314898.

Course: Algebra / Geometry

2007-08

Time MPS Learning Targets Wisconsin State Assessment Descriptors / Curriculum Targeted

Frame Standards Specifications Units District

(textbook / CABS

lessons,

supplementary

materials)

Suggested Learning Target *6.0

timeline:

B.5* Students will select and use appropriate Identify, describe, and use

properties, computational procedures, and formulas to solve real-world

modes of representation with and without

measurement problems such context, e.g., simple and compound

as interest, perimeter, area, interest, commission, percents,

and volume. proportions.

D.3* Students will determine the perimeter/area

of two-dimensional figures.

D.4* Students will determine the surface

area/volume of three-dimensional figures.

D.7* Students will use formulas in applications,

e.g., distance formula, simple and

compound interest.

Developed by the Milwaukee Mathematics Partnership (MMP) with support by the National Science Foundation under Grant No. 0314898.

Course: Algebra / Geometry

2007-08

Time MPS Learning Targets Wisconsin State Assessment Descriptors / Curriculum Targeted

Frame Standards Specifications Units District

(textbook / CABS

lessons,

supplementary

materials)

Suggested Learning Target *7.0

timeline:

F.1* Students will describe, recognize, Use tables, graphs,

interpret, and translate graphical equations and formulas to

representations of mathematical and real-

describe relationships world phenomena on coordinate grids,

between and amongst e.g., slope, intercepts, rate of change,

variables. linear and non-linear functions, and

quadratic, exponential and constant

functions.

F.2* Students will analyze, generalize and

represent patterns of change, e.g., direct

and inverse variations, including

numerical sequences, patterns to a given

term, algebraic expressions and

equations.

F.5* Students will translate between different

representations and describe the

relationship among variable quantities in a

problem, e.g., tables, graphs, functional

notations, formulas.

Developed by the Milwaukee Mathematics Partnership (MMP) with support by the National Science Foundation under Grant No. 0314898.

Course: Algebra / Geometry

2007-08

Time MPS Learning Targets Wisconsin State Assessment Descriptors / Curriculum Targeted

Frame Standards Specifications Units District

(textbook / CABS

lessons,

supplementary

materials)

Suggested Learning Target *8.0

timeline:

C.7* Students will use the two-dimensional Use the two-dimensional

rectangular coordinate system to describe coordinate system to

and characterize properties of geometric

analyze, generalize and figures. Identify and apply symmetry about

represent algebraic an axis.

properties in mathematical C.8* Students will use the two-dimensional

rectangular coordinate system and algebraic and real-world applications.

procedures to describe and characterize

geometric properties and relationships, e.g.,

slope, intercepts, parallelism and

perpendicularity, Pythagorean Theorem,

distance formula.

F.1* Students will describe, recognize, interpret,

and translate graphical representations of

mathematical and real-world phenomena on

coordinate grids, e.g., slope, intercepts, rate

of change, linear and non-linear functions,

and quadratic, exponential and constant

functions.

F.2* Students will analyze, generalize and

represent patterns of change, e.g., direct

and inverse variations, including numerical

sequences, patterns to a given term,

algebraic expressions and equations.

Developed by the Milwaukee Mathematics Partnership (MMP) with support by the National Science Foundation under Grant No. 0314898.

Course: Algebra / Geometry

2007-08

Time MPS Learning Targets Wisconsin State Assessment Descriptors / Curriculum Targeted

Frame Standards Specifications Units District

(textbook / CABS

lessons,

supplementary

materials)

Suggested Learning Target *9.0

timeline:

Model and solve F.3* Students will solve linear and quadratic

equations, linear inequalities and systems mathematical and real-world

of linear equations and inequalities. applications that can be

F.4* Students will model and solve a variety of

represented by linear and

mathematical and real-world problems by

systems of equations, linear using algebraic expressions, equations,

inequalities, and quadratic and inequalities, e.g., linear, exponential,

quadratic. equations.

F.7* Students will demonstrate understanding

of properties by solving linear and

quadratic equations, linear inequalities,

and systems of linear equations and

inequalities with one or two variables.

Developed by the Milwaukee Mathematics Partnership (MMP) with support by the National Science Foundation under Grant No. 0314898.

Course: Algebra / Geometry

2007-08

Time MPS Learning Targets Wisconsin State Assessment Descriptors / Curriculum Targeted

Frame Standards Specifications Units District

(textbook / CABS

lessons,

supplementary

materials)

Suggested Learning Target *10.0

timeline:

F.2* Students will analyze, generalize and Evaluate information, analyze

represent patterns of change, e.g., direct patterns, identify relationships,

and inverse variation, including numerical

and represent them using sequences, patterns to a given term,

algebraic expressions, functions, algebraic expressions and equations.

and equations, e.g., linear,

F.4* Students will model and solve a variety of exponential, and quadratic,

mathematical and real-world problems by recognizing that a family of

using algebraic expressions, equations, functions can model a variety of

and inequalities, e.g., linear, exponential,

real-world applications. quadratic.

Developed by the Milwaukee Mathematics Partnership (MMP) with support by the National Science Foundation under Grant No. 0314898.

Course: Algebra / Geometry

2007-08

Time MPS Learning Targets Wisconsin State Assessment Descriptors / Curriculum Targeted

Frame Standards Specifications Units District

(textbook / CABS

lessons,

supplementary

materials)

Suggested Learning Target *11.0

timeline:

Explain and use the

C.2* Students will present convincing

Pythagorean Theorem and

geometric arguments by means of

right triangle trigonometry as informal proof, counter-examples or other

models to solve a variety of logical means.

C.3* Students will model problems using the right triangle problems in

Pythagorean Theorem and right triangle real-world applications.

trigonometry.

C.4* Students will use proportional reasoning

to solve congruence and similarity

problems (e.g., scale drawings and similar

geometric figures).

D.6* Students will use right triangle

trigonometry functions and the

Pythagorean Theorem to solve right

triangle problems.

Developed by the Milwaukee Mathematics Partnership (MMP) with support by the National Science Foundation under Grant No. 0314898.