MPS Mathematics Learning Targets
B. Number Operations and Relationships
Grade 8
|
MPS Learning Target #1 |
| 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 |
| 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 |
| 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.