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MPS Mathematics Learning Targets

B. Number Operations and Relationships
Grade 8

MPS Learning Target #1
(Grade 8)

Explain comparisons and operations on real numbers and use proportional reasoning (including ratios and
percents) to solve problems with and without contexts.
Descriptors
Concepts: 1, 2, 3
Computation: 4, 6

 

Grade of
Emphasis
Wisconsin Sub-skill Descriptors (Beginning of Grade 10)
Sub-skill B.a: Concepts
Grade 8 1) Compare and order real numbers.
Grade 8 2) Analyze and solve problems using percents.
Grades 8-10 3) Apply proportional reasoning and ratios in mathematical and real world contexts.
Sub-skill B.b: Computation
Grades 8-9 4) Compare, perform, and explain operations on real numbers with and without context (e.g.,
transitivity, rate of change, exponential functions, scientific notation, roots, powers,
reciprocals, absolute value, ratios, proportions, percents).
Grade 9 5) Select and use appropriate properties, computational procedures, and modes of
representation with and without context (e.g., simple and compound interest, commission,
percents, proportions).
Grades 8-10 6) Determine reasonableness of answer.

Note: Teachers in Grade 8 and Grade 9 grade share the Beginning of Grade 10 Descriptors.
Some Descriptors are more relevant to one grade than the other.

C. Geometry
Grade 8

MPS Learning Target #2
(Grade 8)

Analyze relationships among figures and their parts, including the Pythagorean Theorem, using properties of
plane and coordinate geometry, and use proportional reasoning, transformations, and spatial visualization in
problem-solving situations.
Descriptors
Describing figures: 1, 3
Spatial relationships and transformations: 4, 5, 6
Coordinate systems: 7

 

Grade of
Emphasis
Wisconsin Sub-skill Descriptors (Beginning of Grade 10)
Sub-skill C.a: Describing figures
Grade 8 1) Identify, describe and analyze properties of figures, relationships among figures and
relationships among their parts (e.g., parallel, perpendicular and congruent sides, various types
of angles and triangles, complementary and supplementary angles, sum of angles in a triangle).
Grade 9-10 2) Present convincing geometric arguments by means of informal proof, counter-examples or
other logical means.
Grades 8-9 3) Model problems using the Pythagorean Theorem and right triangle trigonometry.
Note: Grade 8 emphasize Pythagorean. Grade 9 emphasize right triangle trigonometry.
Sub-skill C.b: Spatial relationships and transformations
Grade 8 4) Use proportional reasoning to solve congruence and similarity problems (e.g., scale
drawings and similar geometric figures).
Grade 8 5) Use transformations and symmetry to solve problems.
Grades 8-10 6) Visualize 3-dimensional figures in problem-solving situations.
Sub-skill C.c: Coordinate systems
Grade 8 7) Use the two-dimensional rectangular coordinate system to describe and characterize
properties of geometric figures. Identify and apply symmetry about an axis.
Grade 9 8) Use the two-dimensional rectangular coordinate system and algebraic procedures to describe
and characterize geometric properties and relationships (e.g., slope, intercepts, parallelism, and
perpendicularity, Pythagorean Theorem, distance formula).

Note: Teachers in Grade 8 and Grade 9 grade share the Beginning of Grade 10 Descriptors.
Some Descriptors are more relevant to one grade than the other.

D. Measurement
Grade 8

MPS Learning Target #3
(Grade 8)

Select and use appropriate tools and procedures to solve problems requiring direct measurements and indirect
measurements (e.g., perimeter, area, surface area, volume, angles, and segments).
Descriptors
Direct measurement: 2
Indirect measurement: 3, 4, 5

 

Grade of
Emphasis
Wisconsin Sub-skill Descriptors (Beginning of Grade 10)
Sub-skill D.a: Measurable attributes
Grade 9 1) Identify, describe and use derived attributes to represent and solve problems (e.g., speed,
acceleration, density, money conversion).
Sub-skill D.b: Direct measurement
Grades 8-9 2) Select and use tools with appropriate degree of precision to determine measurements
directly.
Sub-skill D.c: Indirect measurement
Grades 8-9 3) Determine the perimeter/area of two-dimensional figures.
Grade 8 4) Determine the surface area/volume of three-dimensional figures.
Grades 8-10 5) Solve for angles and segments in similar polygons and arcs in circles.
Note: Grades 8-9 emphasize similar polygons. Grade 10 emphasize arcs in circles.
Grade 10 6) Use right-triangle trig functions and the Pythagorean Theorem to solve right-triangle
problems.
Grade 9 7) Use formulas in applications (e.g., Distance Formula, simple and compound interest).

Note: Teachers in Grade 8 and Grade 9 grade share the Beginning of Grade 10 Descriptors.
Some Descriptors are more relevant to one grade than the other.