Strand and GLE |
Algebra Lesson(s) |
| Number and Number Relations |
| 1. |
|
Identify and describe differences among
natural numbers, whole numbers, integers, rational numbers, and irrational
numbers (N-1-H) (N-2-H) (N-3-H) |
|
2-1,
2-7
|
| 2. |
|
Evaluate and write numerical expressions
involving integer exponents (N-2-H) |
|
1-1,
1-2 |
| 3. |
|
Apply scientific notation to perform computations,
solve problems, and write representations of numbers (N-2-H) |
|
8-3
|
| 4. |
|
Distinguish between an exact and an approximate
answer, and recognize errors introduced by the use of approximate
numbers with technology (N-3-H) (N-4-H) (N-7-H) |
|
|
| 5. |
|
Demonstrate computational fluency with all
rational numbers (e.g., estimation, mental math, technology, paper/pencil)
(N-5-H |
|
1-2,
2-2,
2-3,
2-4
|
| 6. |
|
Simplify and perform basic operations on
numerical expressions involving radicals (e.g., ) (N-5-H) |
|
11-1,
11-2 |
| 7. |
|
Use proportional reasoning to model and
solve real-life problems involving direct and inverse variation (N-6-H) |
|
5-2,
12-1
|
| Algebra |
| 8. |
|
Use order of operations to simplify or rewrite
variable expressions (A-1-H) (A-2-H) |
|
1-2,
1-5,
1-6
|
| 9. |
|
Model real-life situations using linear
expressions, equations, and inequalities (A-1-H) (D-2-H) (P-5-H) |
|
4-5,
4-8,
5-3,
5-4,
5-7,
6-1,
6-2,
6-3
|
| 10. |
|
Identify independent and dependent variables
in real-life relationships (A-1-H) |
|
1-8
|
| 11. |
|
Use equivalent forms of equations and inequalities
to solve real-life problems (A-1-H) |
|
3-8,
5-3,
5-4,
5-5,
6-1,
6-2
|
| 12. |
|
Evaluate polynomial expressions for given
values of the variable (A-2-H) |
|
1-2,
2-3 |
| 13. |
|
Translate between the characteristics defining
a line (i.e., slope, intercepts, points) and both its equation and
graph (A-2-H) (G-3-H) |
|
5-3,
5-4,
5-5,
5-6 |
| 14. |
|
Graph and interpret linear inequalities
in one or two variables and systems of linear inequalities (A-2-H)
(A-4-H) |
|
6-1,
6-2,
6-3,
6-4,
6-5,
6-6,
7-5
|
| 15. |
|
Translate among tabular, graphical, and
algebraic representations of functions and real-life situations (A-3-H)
(P-1-H) (P-2-H) |
|
1-8,
4-3,
4-4,
4-5,
4-6,
5-2,
5-3,
10-1,
10-2,
10-5 |
| 16. |
|
Interpret and solve systems of linear equations
using graphing, substitution, elimination, with and without technology,
and matrices using technology (A-4-H) |
|
7-1,
7-2,
7-3,
7-4
|
| Measurement |
| 17. |
|
Distinguish between precision and accuracy
(M-1-H) |
|
|
| 18. |
|
Demonstrate and explain how the scale of
a measuring instrument determines the precision of that instrument
(M-1-H) |
|
|
| 19. |
|
Use significant digits in computational
problems (M-1-H) (N-2-H) |
|
|
| 20. |
|
Demonstrate and explain how relative measurement
error is compounded when determining absolute error (M-1-H) (M-2-H)
(M-3-H) |
|
|
| 21. |
|
Determine appropriate units and scales to
use when solving measurement problems (M-2-H) (M-3-H) (M-1-H) |
|
|
| 22. |
|
Solve problems using indirect measurement
(M-4-H) |
|
3-6,
11-6,
11-7
|
| Geometry |
| 23. |
|
Use coordinate methods to solve and interpret
problems (e.g., slope as rate of change, intercept as initial value,
intersection as common solution, midpoint as equidistant) (G-2-H)
(G-3-H) |
|
4-1,
4-5,
5-1,
5-2,
5-3,
5-4,
5-5,
7-1
|
| 24. |
|
Graph a line when the slope and a point
or when two points are known (G-3-H) |
|
4-5,
5-1,
5-2,
5-3
|
| 25. |
|
Explain slope as a representation of "rate
of change" (G-3-H) (A-1-H) |
|
5-1 |
| 26. |
|
Perform translations and line reflections
on the coordinate plane (G-3-H) |
|
4-2
|
| Data Analysis, Probability,
and Discrete Math |
| 27. |
|
Determine the most appropriate measure of
central tendency for a set of data based on its distribution (D-1-H) |
|
2-5
|
| 28. |
|
Identify trends in data and support conclusions
by using distribution characteristics such as patterns, clusters,
and outliers (D-1-H) (D-6-H) (D-7-H) |
|
2-5,
5-7,
13-3,
13-4,
13-5
|
| 29. |
|
Create a scatter plot from a set of data
and determine if the relationship is linear or nonlinear (D-1-H) (D-6-H)
(D-7-H) |
|
5-7
|
| 30. |
|
Use simulations to estimate probabilities
(D-3-H) (D-5-H) |
|
14-5
|
| 31. |
|
Define probability in terms of sample spaces,
outcomes, and events (D-4-H) |
|
2-6
|
| 32. |
|
Compute probabilities using geometric models
and basic counting techniques such as combinations and permutations
(D-4-H) |
|
14-1,
14-2,
14-3
|
| 33. |
|
Explain the relationship between the probability
of an event occurring, and the odds of an event occurring and compute
one given the other (D-4-H) |
|
2-6
|
| 34. |
|
Follow and interpret processes expressed
in flow charts (D-8-H) |
|
|
| Patterns, Relations, and
Functions |
| 35. |
|
Determine if a relation is a function and
use appropriate function notation (P-1-H) |
|
1-8,
4-6
|
| 36. |
|
Identify the domain and range of functions
(P-1-H) |
|
1-8,
4-4
|
| 37. |
|
Analyze real-life relationships that can
be modeled by linear functions (P-1-H) (P-5-H) |
|
4-4,
4-5,
4-8,
5-7
|
| 38. |
|
Identify and describe the characteristics
of families of linear functions, with and without technology (P-3-H) |
|
5-2
|
| 39. |
|
Compare and contrast linear functions algebraically
in terms of their rates of change and intercepts (P-4-H) |
|
5-2,
5-4,
5-5,
5-6
|
| 40. |
|
Explain how the graph of a linear function
changes as the coefficients or constants are changed in the function's
symbolic representation (P-4-H) |
|
5-3
|