6th grade Math
17 units matched to the Alabama Course of Study.
Focus areas
- Numbers and operations: ratios and rates, dividing fractions, integers, and expressions and equations
- Measurement, data and geometry: area, surface area and volume, and statistics
- Student mathematical practices: making sense of problems and explaining reasoning
Units
Unit 1
Facts & Factors
Quick recall of multiplication and division facts, plus factors, multiples and prime numbers, the greatest common factor (GCF) and least common multiple (LCM), and word problems that use them.
Content standard: 6.8 · greatest common factor and least common multiple
Unit 2
Mixed Numbers & Ratios
Switching between improper fractions (like 13/5) and mixed numbers (2 3/5), placing them on a number line, and writing and using ratios such as 3:4 in tables and word problems.
Content standard: 6.1 · ratio notation and ratio language
Unit 3
Decimal × and ÷
Multiplying and dividing decimals, estimating to check where the decimal point goes, and solving shopping and measurement problems.
Content standard: 6.6 · adding, subtracting, multiplying and dividing decimals
Unit 4
Percents & Budgets
Finding percents of amounts, working out sale prices and savings, comparing unit prices to find the better buy, and planning a simple budget and savings goal.
Content standard: 6.3 · solving percent and rate problems with ratio reasoning
Unit 5
Patterns & Graphs
Describing growing and shrinking patterns with rules like 3n + 2, using tables and graphs to predict values, and reading change over time from line graphs.
Content standard: 6.21 · two quantities that change together, shown with tables, graphs and equations
Unit 6
Equations
Using the order of operations (brackets, then × and ÷, then + and −) and solving one-step equations like 6n = 42 with inverse operations, including writing equations for word problems.
Content standard: 6.18; 6.19 · checking solutions by substitution and solving equations of the form x + p = q and px = q
Unit 7
Perimeter & Area
Finding the perimeter of L-shapes and other polygons, and the area of triangles (b × h ÷ 2), parallelograms (b × h) and trapezoids ((a + b) × h ÷ 2), including working backwards to a missing measurement.
Content standard: 6.26 · area of triangles, special quadrilaterals and other polygons
Unit 8
Volume & Capacity
Finding the volume of rectangular prisms, converting between liters and milliliters, and connecting volume to capacity (1 cm³ holds 1 mL).
Content standard: 6.28 · volume of right rectangular prisms
Unit 9
Integers & Decimals
Meeting negative numbers on a number line, comparing and ordering integers, decimals and fractions, working with thousandths, and rounding decimals.
Content standard: 6.9; 6.10; 6.12; 6.13 · signed numbers on the number line, absolute value, and comparing and ordering rational numbers
Unit 10
Algebra Moves
Combining like terms such as 3x + 5x, evaluating expressions, and finding values that make an inequality true and showing them on a number line.
Content standard: 6.15; 6.20 · evaluating expressions with letters for numbers and writing inequalities of the form x > c or x < c
Unit 11
Data & Graphs
Telling discrete data (counted) from continuous data (measured), reading histograms and line graphs, finding the range, and spotting misleading graphs.
Content standard: 6.23; 6.24 · showing numerical data in plots and describing its center and spread
Unit 12
Powers and Common Factors
Reading and writing powers such as 3⁴, evaluating them, order of operations with powers, writing prime factorizations with exponents, and finding common factors and the greatest common factor.
Content standard: 6.14 · writing and evaluating expressions with whole-number exponents
Unit 13
Dividing Fractions
Dividing a fraction by a fraction by multiplying by the reciprocal, and solving “how many servings” and “how many pieces” problems.
Content standard: 6.4 · interpreting and computing quotients of fractions in word problems
Unit 14
Center & Spread
Telling a statistical question from a regular question, and describing data with the mean, median, range and interquartile range.
Content standard: 6.22; 6.23 · telling statistical questions apart and finding measures of center and variability
Unit 15
Four Quadrants
Plotting and naming points in all four quadrants, reflecting points across an axis, and finding distances and areas on the coordinate plane.
Content standard: 6.11; 6.25 · graphing points in all four quadrants and finding side lengths of polygons on the coordinate plane
Unit 16
Unit Rates
Finding unit rates and unit prices, choosing the better buy, completing rate tables, and converting measurement units with ratios.
Content standard: 6.2; 6.3 · finding unit rates and converting measurement units with ratio reasoning
Unit 17
Nets & Surface Area
Using nets made of rectangles and triangles to find the surface area of prisms and pyramids.
Content standard: 6.27 · using nets of three-dimensional figures to find surface area
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