| Grade-Level Expectation |
Student Lesson(s) |
| 1. |
|
Recognize and compute equivalent representations of fractions, decimals, and percents (i.e., halves, thirds, fourths, fifths, eighths, tenths, hundredths) (N-1-M) |
|
5-4, 5-5 |
| 2. |
|
Compare positive fractions, decimals, percents, and integers using symbols (i.e., <, £, =, ³, >) and position on a number line (N-2-M) |
|
3-2, 5-8 |
| 3. |
|
Solve order of operations problems involving grouping symbols and multiple operations (N-4-M) |
|
1-3 |
| 4. |
|
Model and apply the distributive property in real-life applications (N-4-M) |
|
1-6 |
| 5. |
|
Multiply and divide positive fractions and decimals (N-5-M) |
|
6-4, 6-6 |
| 6. |
|
Set up and solve simple percent problems using various strategies, including mental math (N-5-M) (N-6-M) (N-8-M) |
|
7-6, 7-7,
7-8, 8-1,
8-2 |
| 7. |
|
Select and discuss appropriate operations and solve single- and multi-step, real-life problems involving positive fractions, percents, mixed numbers, decimals, and positive and negative integers (N-5-M) (N-3-M) (N-4-M) |
|
3-4, 3-5,
3-6, 3-7,
6-2, 6-3,
6-6, 8-5,
8-6 |
| 8. |
|
Determine the reasonableness of answers involving positive fractions and decimals by comparing them to estimates (N-6-M) (N-7-M) |
|
6-1 |
| 9. |
|
Determine when an estimate is sufficient and when an exact answer is needed in real-life problems using decimals and percents (N-7-M) (N-5-M) |
|
5-6 |
| 10. |
|
Determine and apply rates and ratios (N-8-M) |
|
7-1, 7-2 |
| 11. |
|
Use proportions involving whole numbers to solve real-life problems (N-8-M) |
|
7-3, 7-8 |
| 12. |
|
Evaluate algebraic expressions containing exponents (especially 2 and 3) and square roots, using substitution (A-1-M) |
|
1-4,
11-1, 11-2 |
| 13. |
|
Determine the square root of perfect squares and mentally approximate other square roots by identifying the two whole numbers between which they fall (A-1-M) |
|
11-1, 11-2 |
| 14. |
|
Write a real-life meaning of a simple algebraic equation or inequality, and vice versa (A-1-M) (A-5-M) |
|
1-5, 4-1 |
| 15. |
|
Match algebraic inequalities with equivalent verbal statements and vice versa (A-1-M) |
|
4-5 |
| 16. |
|
Solve one- and two-step equations and inequalities (with one variable) in multiple ways (A-2-M) |
|
1-5,
4-2, 4-3,
4-4 |
| 17. |
|
Graph solutions sets of one-step equations and inequalities as points, or open and closed rays on a number line (e.g., x = 5, x < 5, x ≤ 5, x > 5, x ≥ 5) (A-2-M) |
|
1-5 |
| 18. |
|
Describe linear, multiplicative, or changing growth relationships (e.g., 1, 3, 6, 10, 15, 21, …) verbally and algebraically (A-3-M) (A-4-M) (P-1-M) |
|
1-7,
4-6 |
| 19. |
|
Use function machines to determine and describe the rule that generates outputs from given inputs (A-4-M) (P-3-M) |
|
4-6 |
| 20. |
|
Determine the perimeter and area of composite plane figures by subdivision and area addition (M-1-M) (G-7-M) |
|
6-8, 11-7 |
| 21. |
|
Compare and order measurements within and between the U.S. and metric systems in terms of common reference points (e.g., weight/mass and area) (M-4-M) (G-1-M) |
|
1-8,
6-7 |
| 22. |
|
Convert between units of area in U.S. and metric units within the same system (M-5-M) |
|
6-5 |
| 23. |
|
Demonstrate an intuitive sense of comparisons between degrees Fahrenheit and Celsius in real-life situations using common reference points (M-5-M) |
|
3-7 |
| 24. |
|
Identify and draw angles (using protractors), circles, diameters, radii, altitudes and 2-dimensional figures with given specifications (G-2-M) |
|
10-1, 10-4,
10-5 |
| 25. |
|
Draw the results of reflections and translations of geometric shapes on a coordinate grid (G-3-M) |
|
10-8, 10-9 |
| 26. |
|
Recognize p as the ratio between the circumference and diameter of any circle (i.e., p = C/d or p = C/2r) (G-5-M) |
|
MAC1
4-6 |
| 27. |
|
Model and explain the relationship between perimeter and area (how scale change in a linear dimension affects perimeter and area) and between circumference and area of a circle (G-5-M) |
|
6-5,
11-6 |
| 28. |
|
Determine the radius, diameter, circumference, and area of a circle and apply these measures in real-life problems (G-5-M) (G-7-M) (M-6-M) |
|
6-9,
11-6 |
| 29. |
|
Plot points on a coordinate grid in all 4 quadrants and locate the coordinates of a missing vertex in a parallelogram (G-6-M) (A-5-M) |
|
3-3 |
| 30. |
|
Apply the knowledge that the measures of the interior angles in a triangle add up to 180 degrees (G-7-M) |
|
10-4 |
| 31. |
|
Analyze and interpret circle graphs, and determine when a circle graph is the most appropriate type of graph to use (D-2-M) |
|
10-2 |
| 32. |
|
Describe data in terms of patterns, clustered data, gaps, and outliers (D-2-M) |
|
2-2, 2-3 |
| 33. |
|
Analyze discrete and continuous data in real-life applications (D-2-M) (D-6-M) |
|
2-1, 2-5,
2-6, 2-7,
2-8 |
| 34. |
|
Create and use Venn diagrams with three overlapping categories to solve counting logic problems (D-3-M) |
|
5-2 |
| 35. |
|
Use informal thinking procedures of elementary logic involving if/then statements (D-3-M) |
|
4-5 |
| 36. |
|
Apply the fundamental counting principle in real-life situations (D-4-M) |
|
9-3 |
| 37. |
|
Determine probability from experiments and from data displayed in tables and graphs (D-5-M) |
|
9-1, 9-2,
9-6, 9-7 |
| 38. |
|
Compare theoretical and experimental probability in real-life situations (D-5-M) |
|
9-6 |
| 39. |
|
Analyze and describe simple exponential number patterns (e.g., 3, 9, 27 or 31, 32, 33) (P-1-M) |
|
1-2 |
| 40. |
|
Analyze and verbally describe real-life additive and multiplicative patterns involving fractions and integers (P-1-M) (P-4-M) |
|
3-4, 3-6,
6-2, 6-3,
6-4 |
| 41. |
|
Illustrate patterns of change in length(s) of sides and corresponding changes in areas of polygons (P-3-M) |
|
6-5, 11-4 |
|
Extra Examples—
