| Grade-Level Expectation |
Student Lesson(s) |
| Number and Number Relations |
| 1. |
|
Compare rational numbers using symbols (i.e.,
<, ≤ , =, ≥, >)
and position on a number line (N-1-M) (N-2-M) |
|
2-2 |
| 2. |
|
Use whole number exponents (0-3) in problem-solving
contexts (N-1-M) (N-5-M) |
|
2-8 |
| 3. |
|
Estimate the answer to an operation involving
rational numbers based on the original numbers (N-2-M) (N-6-M) |
|
2-6 |
| 4. |
|
Read and write numbers in scientific notation
with positive exponents (N-3-M) |
|
2-9 |
| 5. |
|
Simplify expressions involving operations
on integers, grouping symbols, and whole number exponents using order
of operations (N-4-M) |
|
1-2 |
| 6. |
|
Identify missing information or suggest
a strategy for solving a real-life, rational-number problem (N-5-M) |
|
2-7 |
| 7. |
|
Use proportional reasoning to model and
solve real-life problems (N-8-M) |
|
4-4,
4-7, 5-3
|
| 8. |
|
Solve real-life problems involving percentages,
including percentages less than 1 or greater than 100 (N-8-M) (N-5-M) |
|
5-3,
5-4, 5-5,
5-6, 5-7,
5-8 |
| 9. |
|
Find unit/cost rates and apply them in
real-life problems (N-8-M) (N-5-M) (A-5-M) |
|
4-1 |
| Algebra |
| 10. |
|
Write real-life meanings of expressions
and equations involving rational numbers and variables (A-1-M) (A-5-M) |
|
1-2,
1-7, 2-7,
10-3 |
| 11. |
|
Translate real-life situations that can
be modeled by linear or exponential relationships to algebraic expressions,
equations, and inequalities (A-1-M) (A-4-M) (A-5-M) |
|
10-3,
10-5, 10-5,
10-6 |
| 12. |
|
Solve and graph solutions of multi-step
linear equations and inequalities (A-2-M) |
|
10-2,
10-4, 10-6,
10-7, 11-3,
11-7, 11-8
|
| 13. |
|
Switch between functions represented as
tables, equations, graphs, and verbal representations, with and without
technology (A-3-M) (P-2-M) (A-4-M) |
|
11-2,
11-3, 11-5,
11-7, 12-1
|
| 14. |
|
Construct a table of x- and y-values
satisfying a linear equation and construct a graph of the line on
the coordinate plane (A-3-M) (A-2-M) |
|
11-2,
11-3 |
| 15. |
|
Describe and compare situations with constant
or varying rates of change (A-4-M) |
|
4-2,
4-3 |
| 16. |
|
Explain and formulate generalizations about
how a change in one variable results in a change in another variable
(A-4-M) |
|
Pre-Algebra
8-5 |
| Measurement |
| 17. |
|
Determine the volume and surface area of
prisms and cylinders (M-1-M) (G-7-M) |
|
7-5,
7-7 |
| 18. |
|
Apply rate of change in real-life problems,
including density, velocity, and international monetary conversions
(M-1-M) (N-8-M) (M-6-M) |
|
4-2 |
| 19. |
|
Demonstrate an intuitive sense of the relative
sizes of common units of volume in relation to real-life applications
and use this sense when estimating (M-2-M) (G-1-M) |
|
7-5,
7-6 |
| 20. |
|
Identify and select appropriate units for
measuring volume (M-3-M) |
|
7-5,
7-6 |
| 21. |
|
Compare and estimate measurements of volume
and capacity within and between the U.S. and metric systems (M-4-M)
(G-1-M) |
|
7-5,
7-6 |
| 22. |
|
Convert units of volume/capacity within
systems for U.S. and metric units (M-5-M) |
|
7-5,
7-6 |
| Geometry |
| 23. |
|
Define and apply the terms measure,
distance, midpoint, bisect, bisector, and perpendicular bisector
(G-2-M) |
|
3-6 |
| 24. |
|
Demonstrate conceptual and practical understanding
of symmetry, similarity, and congruence and identify similar and congruent
figures (G-2-M) |
|
4-5,
6-5, 6-6 |
| 25. |
|
Predict, draw, and discuss the resulting
changes in lengths, orientation, angle measures, and coordinates when
figures are translated, reflected across horizontal or vertical lines,
and rotated on a grid (G-3-M) (G-6-M) |
|
6-7,
6-8, 6-9 |
| 26. |
|
Predict, draw, and discuss the resulting
changes in lengths, orientation, and angle measures that occur in
figures under a similarity transformation (dilation) (G-3-M) (G-6-M) |
|
4-8 |
| 27. |
|
Construct polyhedra using 2-dimensional
patterns (nets) (G-4-M) |
|
MAC2
12-1 |
| 28. |
|
Apply concepts, properties, and relationships
of adjacent, corresponding, vertical, alternate interior, complementary,
and supplementary angles (G-5-M) |
|
6-1 |
| 29. |
|
Solve problems involving lengths of sides
of similar triangles (G-5-M) (A-5-M) |
|
4-5 |
| 30. |
|
Construct, interpret, and use scale drawings
in real-life situations (G-5-M) (M-6-M) (N-8-M) |
|
4-6 |
| 31. |
|
Use area to justify the Pythagorean theorem
and apply the Pythagorean theorem and its converse in real-life problems
(G-5-M) (G-7-M) |
|
3-4,
3-5, 6-3 |
| 32. |
|
Model and explain the relationship between
the dimensions of a rectangular prism and its volume (i.e., how scale
change in linear dimension(s) affects volume) (G-5-M) |
|
Pre-Algebra
11-6 |
| 33. |
|
Graph solutions to real-life problems on
the coordinate plane (G-6-M) |
|
3-6,
11-3 |
| Data
Analysis, Probability, and Discrete Math |
| 34. |
|
Determine what kind of data display is
appropriate for a given situation (D-1-M) |
|
9-3 |
| 35. |
|
Match a data set or graph to a described
situation, and vice versa (D-1-M) |
|
Pre-Algebra
1-7, Pre-Algebra
12-1 |
| 36. |
|
Organize and display data using circle
graphs (D-1-M) |
|
9-2 |
| 37. |
|
Collect and organize data using box-and-whisker
plots and use the plots to interpret quartiles and range (D-1-M) (D-2-M) |
|
9-6 |
| 38. |
|
Sketch and interpret a trend line (i.e.,
line of best fit) on a scatterplot (D-2-M) (A-4-M) (A-5-M) |
|
11-6 |
| 39. |
|
Analyze and make predictions from discovered
data patterns (D-2-M) |
|
8-7,
11-6 |
| 40. |
|
Explain factors in a data set that would
affect measures of central tendency (e.g., impact of extreme values)
and discuss which measure is most appropriate for a given situation
(D-2-M) |
|
9-4 |
| 41. |
|
Select random samples that are representative
of the population, including sampling with and without replacement,
and explain the effect of sampling on bias (D-2-M) (D-4-M) |
|
8-7 |
| 42. |
|
Use lists, tree diagrams, and tables to
apply the concept of permutations to represent an ordering with and
without replacement (D-4-M) |
|
8-3 |
| 43. |
|
Use lists and tables to apply the concept
of combinations to represent the number of possible ways a set of
objects can be selected from a group (D-4-M) |
|
8-4 |
| 44. |
|
Use experimental data presented in tables
and graphs to make outcome predictions of independent events (D-5-M) |
|
8-6 |
| 45. |
|
Calculate, illustrate, and apply single-
and multiple-event probabilities, including mutually exclusive, independent
events and non-mutually exclusive, dependent events (D-5-M) |
|
8-1,
8-5 |
| Patterns,
Relations, and Functions |
| 46. |
|
Distinguish between and explain when real-life
numerical patterns are linear/arithmetic (i.e., grows by addition)
or exponential/geometric (i.e., grows by multiplication) (P-1-M) (P-4-M) |
|
11-1 |
| 47. |
|
Represent the nth term
in a pattern as a formula and test the representation (P-1-M) (P-2-M)
(P-3-M) (A-5-M) |
|
11-1 |
| 48. |
|
Illustrate patterns of change in dimension(s)
and corresponding changes in volumes of rectangular solids (P-3-M) |
|
7-1,
7-2, 7-5 |
Extra Examples—
