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Mathematics 6

Build number sense through integers, fractions, ratios, and percents. Explore expressions, equations, geometry, data analysis, and personal financial literacy. TEKS §111.26 aligned.

14 Units

30-45 minutes per unit

What You Will Learn

Number Sense

Master operations with integers, fractions, decimals, and percents — the building blocks of all math.

Algebraic Thinking

Write and solve expressions and equations — your first steps toward algebra.

TEKS Aligned

Covers Texas Essential Knowledge and Skills for Grade 6 Mathematics (§111.26).

All Units

Whole Numbers and Place Value

Build fluency with multi-digit operations and place value to prepare for fractions, decimals, and algebraic thinking.

•Read, write, and compare whole numbers through the billions
•Apply place value understanding to round numbers and estimate answers
•Fluently multiply and divide multi-digit whole numbers
+1 more objectives

Fractions and Decimals

Master operations with fractions and decimals, including equivalence, ordering, and real-world applications.

•Convert between fractions, decimals, and mixed numbers fluently
•Add, subtract, multiply, and divide fractions and mixed numbers
•Add, subtract, multiply, and divide decimals
+1 more objectives

Integers and the Number Line

Explore positive and negative integers, absolute value, and ordering on the number line to build a foundation for rational number reasoning.

•Identify, locate, and compare integers on a number line
•Find the opposite and absolute value of any integer
•Order integers from least to greatest using inequality symbols
+1 more objectives

Ratios and Rates

Understand ratios as comparisons, build equivalent ratios, create ratio tables, and calculate unit rates in real-world contexts.

•Represent ratios using fraction notation, colon notation, and verbal descriptions
•Determine if two ratios are equivalent
•Use ratio tables to find missing values and solve problems
+1 more objectives

Percents and Applications

Connect fractions, decimals, and percents, then apply percent reasoning to tax, tips, discounts, and other real-world problems.

•Convert fluently between fractions, decimals, and percents
•Find the percent of a number using multiplication and proportions
•Solve real-world problems involving tax, tip, and discount
+1 more objectives

Expressions and Variables

Learn to write, evaluate, and simplify algebraic expressions using variables, constants, and the properties of operations.

•Write algebraic expressions from verbal descriptions and real-world situations
•Evaluate expressions by substituting values for variables
•Identify and combine like terms to simplify expressions
+1 more objectives

One-Step Equations and Inequalities

Solve one-step equations and inequalities using inverse operations, and represent solutions on a number line.

•Solve one-step equations involving addition, subtraction, multiplication, and division
•Write equations from real-world situations and interpret solutions in context
•Solve and graph one-step inequalities on a number line
+1 more objectives

The Coordinate Plane

Plot ordered pairs in all four quadrants, calculate distances, and connect graphing to real-world data.

•Identify the x-axis, y-axis, origin, and four quadrants of the coordinate plane
•Plot and read ordered pairs in all four quadrants
•Calculate horizontal and vertical distances between points
+1 more objectives

Area, Perimeter, and Volume

Calculate area and perimeter of rectangles, triangles, and parallelograms, then extend to surface area and volume of rectangular prisms.

•Calculate the area and perimeter of rectangles, triangles, and parallelograms
•Decompose irregular shapes into familiar figures to find area
•Calculate the volume of rectangular prisms using formulas and unit cubes
+1 more objectives

Angles and Triangles

Classify angles and triangles, explore angle relationships including complementary and supplementary pairs, and find missing angle measures.

•Classify angles as acute, right, obtuse, or straight
•Identify and calculate complementary and supplementary angle pairs
•Classify triangles by their sides and angles
+1 more objectives

Data Displays and Statistics

Organize and interpret data using dot plots, histograms, and box plots, and summarize data sets with mean, median, mode, and range.

•Calculate mean, median, mode, and range for a data set
•Create and interpret dot plots, histograms, and box plots
•Choose the most appropriate measure of center for a given data set
+1 more objectives

Understand the mathematics of chance by exploring simple and compound events, comparing experimental and theoretical probability, and making predictions.

•Calculate the theoretical probability of simple events
•Conduct experiments and calculate experimental probability
•Compare experimental results to theoretical predictions
+1 more objectives

Personal Financial Literacy

Build essential money skills including understanding income, creating budgets, setting savings goals, and recognizing the basics of credit.

•Distinguish between gross income and net income and identify common deductions
•Create a budget that balances income, expenses, and savings
•Calculate simple interest and understand how saving over time builds wealth
+1 more objectives

Mathematical Reasoning Capstone

Bring together all the math skills from this course to tackle multi-step problems that require strategic thinking, persistence, and clear communication.

•Solve multi-step problems that integrate skills from multiple units
•Select and justify appropriate problem-solving strategies
•Communicate mathematical reasoning clearly using words, numbers, and diagrams
+1 more objectives

Grade 6 Mathematics. Designed for Texas homeschool families. TEKS §111.26 aligned.