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Accelerated Math — Year 1

The fast track to Algebra I. Covers all of 6th grade math (§111.26) plus key 7th grade topics — multi-step equations, proportional relationships, and advanced statistics. Aligned to TEKS §111.29 (Middle School Advanced Mathematics).

14 Units

35-50 minutes per unit

What You Will Learn

Compacted Curriculum

Two years of math in two years — not faster, but deeper and more connected.

7th Grade Pull-Forward

Multi-step equations, proportional graphing, and statistics from §111.27 built on 6th grade foundations.

TEKS §111.29 Aligned

Follows the official Texas Middle School Advanced Mathematics pathway.

All Units

Number Systems and Integer Operations

Master the full integer number line — positive, negative, zero — and learn to add, subtract, multiply, and divide integers with confidence and speed.

•Classify numbers as natural, whole, or integer and explain the relationships among these sets
•Compare and order integers using inequality symbols and the number line
•Compute absolute value and explain its geometric meaning as distance from zero
+2 more objectives

Rational Numbers: Fractions and Decimals

Extend integer operations to the full rational number system — fractions, decimals, and their conversions — building fluency for algebra readiness.

•Convert fluently between fractions, decimals, and percents
•Add, subtract, multiply, and divide positive and negative fractions
•Add, subtract, multiply, and divide positive and negative decimals
+2 more objectives

Ratios, Rates, and Proportional Reasoning

Build fluency with ratios, unit rates, and proportional reasoning — the mathematical foundation for comparing quantities across every discipline.

•Write and simplify ratios in multiple forms (fraction, colon, word)
•Calculate unit rates and use them to compare options
•Determine whether two quantities are in a proportional relationship
+2 more objectives

Percents and Real-World Applications

Apply percent reasoning to markup, discount, tax, tip, and commission problems — the math behind every purchase and paycheck.

•Convert fluently between fractions, decimals, and percents
•Solve percent problems using proportions and equations
•Calculate sales tax, tips, markups, and discounts
+2 more objectives

Expressions, Properties, and Order of Operations

Transition from arithmetic to algebraic thinking — write, evaluate, and simplify expressions using variables, properties, and the order of operations.

•Translate verbal phrases into algebraic expressions and vice versa
•Evaluate expressions by substituting rational number values for variables
•Apply the order of operations (PEMDAS) with integers and rational numbers
+2 more objectives

One-Step Equations and Inequalities

Solve one-step equations and inequalities using inverse operations, then represent solutions on the number line and interpret them in context.

•Solve one-step equations involving addition, subtraction, multiplication, and division with rational numbers
•Write equations from real-world situations and interpret solutions in context
•Solve one-step inequalities and graph solution sets on a number line
+2 more objectives

Multi-Step Equations

Solve two-step equations, equations with the distributive property, and equations with variables on both sides — a pull-forward from 7th grade that builds Algebra I readiness.

•Solve two-step equations by applying inverse operations in the correct order
•Solve equations requiring the distributive property as a first step
•Solve equations with variables on both sides by collecting variable terms
+2 more objectives

Proportional Relationships and Graphs

Connect proportional relationships to the coordinate plane — discover the constant of proportionality, the equation y = kx, and what it means for a graph to pass through the origin.

•Identify proportional relationships from tables, graphs, and equations
•Calculate the constant of proportionality from a table or graph
•Write the equation y = kx for a proportional relationship and use it to make predictions
+2 more objectives

The Coordinate Plane and Transformations

Navigate all four quadrants of the coordinate plane, then apply reflections and translations to see how geometry and algebra work together.

•Plot and identify ordered pairs in all four quadrants of the coordinate plane
•Calculate distances between points with the same x- or y-coordinate
•Reflect points and figures across the x-axis and y-axis and describe the coordinate changes
+2 more objectives

Area, Surface Area, and Volume

Calculate areas of composite figures, unfold 3D shapes into nets to find surface area, and compute volumes of prisms and pyramids — bridging two-dimensional reasoning into three dimensions.

•Find the area of triangles, parallelograms, trapezoids, and composite figures
•Use nets to calculate the surface area of prisms and pyramids
•Calculate the volume of rectangular and triangular prisms
+2 more objectives

Angle Relationships and Geometry

Classify angle pairs — complementary, supplementary, vertical, and those formed by transversals crossing parallel lines — and use these relationships to solve for unknown angles.

•Identify and calculate complementary and supplementary angle pairs
•Use the vertical angles theorem to find unknown angle measures
•Identify angle relationships formed when a transversal crosses parallel lines
+1 more objectives

Statistics: Center, Spread, and Shape

Summarize data sets with measures of center (mean, median, mode) and spread (range, MAD, IQR), then compare distributions to make evidence-based arguments.

•Calculate mean, median, and mode for a data set and explain when each is most appropriate
•Calculate range, mean absolute deviation (MAD), and interquartile range (IQR)
•Describe the shape of a distribution as symmetric, skewed left, or skewed right
+2 more objectives

Probability and Data Analysis

Calculate probabilities of simple and compound events, design simulations, and connect sampling to the statistical reasoning from Unit 12.

•Calculate theoretical and experimental probability of simple events
•Determine probabilities of compound events using organized lists, tables, and tree diagrams
•Design and use simulations to estimate probabilities of real-world events
+2 more objectives

Financial Literacy and Real-World Math

Apply proportional reasoning, equations, and data analysis to personal finance — budgeting, interest, taxes, and the mathematics behind financial decisions that shape your adult life.

•Create and analyze a personal budget using income, expenses, and savings categories
•Calculate simple interest using the formula I = Prt and apply it to savings and loans
•Understand the difference between simple and compound interest and their long-term effects
+2 more objectives

Grade 6 Accelerated Mathematics (Year 1 of 2). TEKS §111.29 aligned. Designed for Texas homeschool families.