The Arizona AASA is the statewide assessment program for Grades 3-8 mathematics and English language arts. Use the official AASA page, Arizona assessment resources, and Arizona mathematics standards page for current official information. Use this guide as an independent study plan for Grade 6 math review.
Grade 6 is a turning point because students move into ratios, rates, rational numbers, expressions, equations, and statistics. The AASA review plan should therefore mix computation with reasoning. Students must know how to calculate, but they also need to explain what quantities mean.
ViewMath is not affiliated with or endorsed by the Arizona Department of Education or AASA.
First, Run a Grade 6 Readiness Check
A short diagnostic helps you choose the right starting point. Give the student 10 questions across ratios, number operations, expressions, equations, geometry, and data. Then sort the misses into three buckets.
- Concept gap: The student does not know what the problem is asking or which model to use.
- Procedure gap: The student knows the idea but forgets a step, such as dividing fractions or solving equations.
- Accuracy gap: The setup is correct, but arithmetic, signs, units, or labels are wrong.
Concept gaps need teaching. Procedure gaps need worked examples and guided practice. Accuracy gaps need shorter mixed sets with immediate correction.
Grade 6 AASA Math Priority Topics
- Ratios and rates: ratio tables, equivalent ratios, unit rates, percent, and real-world proportional situations.
- Number system: fraction division, decimal operations, greatest common factor, least common multiple, and negative numbers.
- Expressions and equations: variables, substitution, equivalent expressions, one-step equations, and inequalities.
- Geometry: area of triangles and polygons, volume, surface area, and coordinate-plane problems.
- Statistics: dot plots, histograms, box plots, mean, median, variability, and interpreting data.
A 30-Day Study Plan
| Days | Focus | Daily Task |
|---|---|---|
| 1-6 | Ratios, rates, and percents | 10 ratio/rate problems plus 3 word problems per day |
| 7-12 | Fractions, decimals, and rational numbers | Mixed computation and number-line practice |
| 13-18 | Expressions and equations | Evaluate, simplify, and solve one-step equations |
| 19-23 | Geometry and coordinate plane | Area, volume, surface area, and graphing practice |
| 24-27 | Statistics | Read graphs and calculate measures of center and spread |
| 28-30 | Mixed practice | Timed sets, correction, and error-log review |
Keep each session short enough to finish: 5 minutes of warm-up, 15 minutes of focused practice, and 5 minutes of correction. On the last 3 days, avoid learning brand-new material. Review the error log and retake missed problem types.
Sample Grade 6 AASA Practice Questions
- A recipe uses 3 cups of flour for 12 muffins. How many cups are needed for 20 muffins?
- Find 35% of 80.
- Divide: 4/5 ÷ 2/3.
- Evaluate 3x + 7 when x = 5.
- Solve: y – 9 = 14.
- A triangle has base 12 cm and height 7 cm. Find its area.
- The numbers are 8, 10, 10, 12, 15. Find the median.
- Plot the point (-3, 4). Which quadrant is it in?
- A store sells 5 notebooks for $12.50. What is the unit price per notebook?
- Write an expression for “4 less than twice n.”
- Solve: 3a = 27.
- A rectangular prism is 6 cm long, 4 cm wide, and 5 cm tall. What is its volume?
- The data set is 4, 6, 8, 8, 14. Find the mean.
- Which is greater: -2 or -7? Explain using a number line idea.
Worked Answer Key
- 5 cups. The rate is 3 cups for 12 muffins, or 1/4 cup per muffin. For 20 muffins, 20 x 1/4 = 5.
- 28. Convert 35% to 0.35, then compute 0.35 x 80.
- 4/5 x 3/2 = 12/10 = 6/5. Dividing by 2/3 means multiplying by 3/2.
- 22. Substitute 5 for x: 3(5) + 7 = 15 + 7.
- 23. Add 9 to both sides.
- 42 square centimeters. Area of a triangle = 1/2 x base x height.
- 10. The middle value in the ordered list is 10.
- Quadrant II because x is negative and y is positive.
- $2.50 per notebook. Divide 12.50 by 5.
- 2n – 4.
- a = 9. Divide both sides by 3.
- 120 cubic centimeters. Volume = 6 x 4 x 5.
- 8. Add to get 40, then divide by 5 values.
- -2 is greater because it is closer to 0 and farther right on the number line.
Common Grade 6 Mistakes
- Using addition for ratios: Equivalent ratios are made by multiplying or dividing both quantities by the same factor.
- Flipping the wrong fraction: In division, keep the first fraction, change to multiplication, and use the reciprocal of the second fraction.
- Losing negative signs: Have students say whether the answer should be positive or negative before calculating.
- Mixing area and volume: Area uses square units; volume uses cubic units.
- Confusing mean and median: Mean is the balance point from adding and dividing; median is the middle value after ordering.
Test-Prep Habits That Help Grade 6 Students
- Write units. Ratios, rates, area, volume, and statistics all depend on interpreting units correctly.
- Estimate first. Estimation catches decimal and fraction errors before they become final answers.
- Use diagrams. Tape diagrams, double number lines, and coordinate grids make many Grade 6 problems easier.
- Correct by topic. Do not simply count a practice test score. Group errors by skill and retest those skills.
Which ViewMath Resource Fits the Need?
Use a Grade 6 study guide when the student needs a lesson and worked examples before practicing. Use the workbook when the student understands the lesson but needs more repetition. Use practice tests when the student is ready for mixed review and pacing. Use a 30-day book when the family needs the schedule already organized.
For Grade 6, the most important planning decision is whether to teach by topic or by mixed sets. If the diagnostic shows one weak area, teach by topic for a week. If the student misses a little of everything, use mixed ViewMath practice and keep a one-page error log. The error log should list the date, topic, mistake type, and a corrected example.