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Accelerated Math — Year 2

Complete the two-year compacted math pathway. Covers remaining Grade 7 topics (inequalities, geometry, circles) plus the full Grade 8 curriculum — real numbers, slope, linear relationships, functions, Pythagorean theorem, and 3D volume. Finishes ready for Algebra I. TEKS §111.27 + §111.28 aligned.

14 Units

35-50 minutes per unit

What You Will Learn

Algebra I Ready

Covers all prerequisite skills — from inequalities through functions and systems — so students enter Algebra I with confidence.

Full 8th Grade Math

Real numbers, slope, linear equations, Pythagorean theorem, transformations, scatterplots, and 3D volume.

TEKS §111.27 + §111.28

Completes both Grade 7 and Grade 8 mathematics standards.

All Units

Inequalities and Their Solutions

Write, solve, and graph one- and two-step inequalities, and interpret solution sets in real-world contexts.

•Translate real-world situations into one- and two-step inequalities
•Solve one- and two-step inequalities using inverse operations, including flipping the inequality sign when multiplying or dividing by a negative
•Graph solution sets on a number line using open and closed circles
+1 more objectives

Angle Relationships and Parallel Lines

Identify and use angle relationships — supplementary, complementary, vertical, and transversal — to solve for unknown angle measures.

•Identify and apply complementary and supplementary angle relationships
•Recognize and use vertical angles and adjacent angles formed at intersections
•Identify corresponding, alternate interior, alternate exterior, and co-interior angles when a transversal crosses parallel lines
+1 more objectives

Area and Circumference of Circles

Use pi to calculate the circumference and area of circles, and apply these formulas to composite figures.

•Explain the relationship between circumference and diameter, and the role of pi
•Calculate circumference and area of circles using exact and approximate values
•Find missing dimensions (radius or diameter) given circumference or area
+1 more objectives

Surface Area and Volume

Calculate the surface area and volume of prisms, pyramids, and composite solids using nets and formulas.

•Use nets to visualize and calculate the surface area of prisms and pyramids
•Apply volume formulas for rectangular and triangular prisms
•Compute the volume of pyramids and relate it to prism volume
+1 more objectives

The Real Number System

Classify real numbers as rational or irrational, locate them on the number line, and approximate irrational numbers.

•Classify numbers within the real number hierarchy: natural, whole, integer, rational, irrational
•Distinguish between rational numbers (terminating or repeating decimals) and irrational numbers
•Approximate the value of irrational numbers including square roots and pi to a specified precision
+1 more objectives

Scientific Notation

Write, interpret, and perform operations with numbers in scientific notation, including very large and very small quantities.

•Convert numbers between standard form and scientific notation
•Compare and order numbers expressed in scientific notation
•Multiply and divide numbers in scientific notation
+2 more objectives

Slope, Rate of Change, and Linear Relationships

Understand slope as rate of change, calculate it from tables, graphs, and ordered pairs, and write equations of lines in slope-intercept form.

•Calculate slope as rise over run using two points on a line
•Interpret slope as a unit rate in proportional and non-proportional contexts
•Identify the y-intercept from a graph, table, or equation
+2 more objectives

Equations and Systems

Solve multi-step equations, and introduce systems of two linear equations solved by graphing and substitution.

•Solve multi-step equations including those with distribution, variables on both sides, and rational coefficients
•Represent a system of two linear equations graphically and identify the solution as the intersection point
•Solve systems of linear equations using the substitution method
+2 more objectives

Introduction to Functions

Understand the function concept, identify functions from multiple representations, and evaluate and interpret functions in context.

•Define a function as a relationship where each input has exactly one output
•Identify functions using tables, graphs, ordered pairs, and the vertical line test
•Evaluate functions using function notation f(x)
+2 more objectives

The Pythagorean Theorem and Distance

Prove and apply the Pythagorean theorem to find missing side lengths, determine whether triangles are right triangles, and calculate distances on the coordinate plane.

•State and explain the Pythagorean theorem and its converse
•Use a² + b² = c² to find missing side lengths in right triangles
•Determine whether a triangle with given side lengths is a right triangle using the converse
+2 more objectives

Geometric Transformations

Perform and describe translations, reflections, rotations, and dilations on the coordinate plane, and connect transformations to congruence and similarity.

•Perform translations, reflections, and rotations on the coordinate plane and identify their coordinate rules
•Perform dilations and identify the scale factor from a center of dilation
•Distinguish between rigid motions (congruent images) and non-rigid transformations (similar images)
+2 more objectives

Scatterplots, Trends, and Data Analysis

Construct and interpret scatterplots, identify association and trends, draw lines of best fit, and use them for predictions.

•Construct and interpret scatterplots to identify patterns, clusters, and outliers
•Describe associations as positive, negative, or none, and as linear or non-linear
•Informally draw a line of best fit and use it to make predictions
+2 more objectives

Volume: Cylinders, Cones, Spheres

Derive and apply volume formulas for cylinders, cones, and spheres, then tackle composite solids that combine curved and flat shapes.

•Apply V = πr²h to find the volume of cylinders
•Apply V = (1/3)πr²h to find the volume of cones and explain the one-third relationship
•Apply V = (4/3)πr³ to find the volume of spheres
+1 more objectives

Algebra Gateway: Readiness

A comprehensive diagnostic review of the year's major concepts, consolidating skills and identifying gaps before the transition to Algebra I.

•Solve multi-step equations and inequalities and interpret solutions in context
•Apply proportional reasoning, slope, and linear equations to real-world situations
•Connect geometric formulas (area, surface area, volume) to algebraic equation-solving
+1 more objectives

Grade 7 Accelerated Mathematics (Year 2 of 2). TEKS §111.27 + §111.28 aligned. Prerequisite: Accelerated Math — Year 1.