6th grade Math
19 units matched to the Texas Essential Knowledge and Skills (TEKS).
Focus areas
- Number and operations: integers and rational numbers, integer operations, and dividing fractions
- Proportionality: ratios, rates and percents
- Expressions, equations and relationships: exponents, one-step equations and inequalities, and area and volume
- Measurement, data and financial literacy: the coordinate plane, data displays, and checking, credit and paying for college
Units
Unit 1
Integers & Decimals
Meeting negative numbers on a number line, comparing and ordering integers, decimals and fractions, working with thousandths, and rounding decimals.
TEKS student expectation: 6.2(B); 6.2(C); 6.2(D) · integers and rational numbers: opposites, absolute value, and ordering on a number line
Unit 2
Decimal × and ÷
Multiplying and dividing decimals, estimating to check where the decimal point goes, and solving shopping and measurement problems.
TEKS student expectation: 6.3(E) · multiplying and dividing decimals fluently
Unit 3
Dividing Fractions
Dividing a fraction by a fraction by multiplying by the reciprocal, and solving “how many servings” and “how many pieces” problems.
TEKS student expectation: 6.3(A); 6.3(E) · dividing fractions by multiplying by the reciprocal
Unit 4
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.
TEKS student expectation: 6.4(C); 6.5(A) · ratios as comparisons of two quantities, and problems with ratio tables
Unit 5
Unit Rates
Finding unit rates and unit prices, choosing the better buy, completing rate tables, and converting measurement units with ratios.
TEKS student expectation: 6.4(B); 6.4(D); 6.4(H) · rates and unit rates, and converting units with ratios
Unit 6
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.
TEKS student expectation: 6.4(G); 6.5(B) · equivalent fractions, decimals and percents, and finding the part, the whole or the percent
Unit 7
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.
TEKS student expectation: 6.6(A); 6.6(B); 6.6(C) · independent and dependent quantities in tables, graphs and equations
Unit 8
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.
TEKS student expectation: 6.7(A) · whole-number exponents and prime factorization
Unit 9
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.
TEKS student expectation: 6.7(A) · factors, multiples and prime factorization
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.
TEKS student expectation: 6.7(D); 6.9(B) · equivalent expressions, and showing solutions to inequalities on a number line
Unit 11
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.
TEKS student expectation: 6.9(A); 6.10(A) · writing and solving one-step equations
Unit 12
Angles & Triangles
Estimating and classifying angles (acute, right, obtuse, straight, reflex), finding missing angles on a line and in triangles, and classifying triangles by their sides and angles.
TEKS student expectation: 6.8(A) · the angle sum of a triangle and classifying triangles
Unit 13
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.
TEKS student expectation: 6.8(B); 6.8(D) · area of parallelograms, trapezoids and triangles
Unit 14
Volume & Capacity
Finding the volume of rectangular prisms, converting between liters and milliliters, and connecting volume to capacity (1 cm³ holds 1 mL).
TEKS student expectation: 6.8(C); 6.8(D) · volume of rectangular prisms
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.
TEKS student expectation: 6.11 · graphing points in all four quadrants
Unit 16
Data & Graphs
Telling discrete data (counted) from continuous data (measured), reading histograms and line graphs, finding the range, and spotting misleading graphs.
TEKS student expectation: 6.12(A); 6.13(A) · dot plots, stem-and-leaf plots and histograms, and reading them
Unit 17
Center & Spread
Telling a statistical question from a regular question, and describing data with the mean, median, range and interquartile range.
TEKS student expectation: 6.12(C); 6.13(B) · mean, median, range and interquartile range, and data with and without variability
Unit 18
Adding & Subtracting Integers
Your child adds and subtracts positive and negative integers, uses zero pairs and opposites, and compares negative numbers.
TEKS student expectation: 6.3(C); 6.3(D); 6.2(B) · adding and subtracting integers with models, and opposites
Unit 19
Banking, Credit & College
Personal financial literacy: your child compares checking accounts, tells debit from credit cards, balances a check register, learns why credit history and credit reports matter, compares ways to pay for college, and compares salaries for jobs that need different training.
TEKS student expectation: 6.14(A); 6.14(B); 6.14(C); 6.14(D); 6.14(E); 6.14(F); 6.14(G); 6.14(H) · checking accounts, debit and credit cards, check registers, credit history and reports, paying for college, and salaries
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