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Math Concepts

Build algebra readiness through proportional reasoning, expressions, equations, geometry, and data analysis. Emphasizes mathematical thinking and real-world problem solving. TEKS §111.27 aligned.

14 Units
30-45 minutes per unit
Curriculum Map

What You Will Learn

Proportional Reasoning

Master ratios, rates, and proportional relationships — the bridge to algebraic thinking.

Expressions & Equations

Write, simplify, and solve equations with variables — building fluency for Algebra I.

Data & Statistics

Collect, represent, and analyze data. Compare populations using measures of center and variability.

All Units

1
3-4 days
The Number Line: Integers and Rational Numbers
Explore integers, absolute value, and rational numbers on the number line to build the foundation for all Grade 7 math.
  • •Identify and classify integers, including positive numbers, negative numbers, and zero
  • •Find the absolute value and opposite of any integer
  • •Locate and compare rational numbers on a number line
  • +1 more objectives
Start learning
2
4-5 days
Operations with Rational Numbers
Master adding, subtracting, multiplying, and dividing integers, fractions, and decimals to build computational fluency with rational numbers.
  • •Add and subtract integers using number line models and sign rules
  • •Multiply and divide integers, including understanding why negative times negative is positive
  • •Perform operations with fractions and decimals, including mixed numbers
  • +1 more objectives
Start learning
3
3-4 days
Ratios and Rates: Comparing Quantities
Understand ratios, equivalent ratios, and unit rates as tools for comparing quantities in real-world situations.
  • •Write and interpret ratios that compare two quantities
  • •Generate equivalent ratios using multiplication and division
  • •Calculate and compare unit rates
  • +1 more objectives
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4
3-4 days
Proportional Relationships
Identify, represent, and solve problems involving proportional relationships using tables, equations, and graphs.
  • •Determine whether a relationship between two quantities is proportional
  • •Find and interpret the constant of proportionality (k)
  • •Represent proportional relationships with equations of the form y = kx
  • +1 more objectives
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5
4-5 days
Percents: Parts of a Hundred
Apply percent reasoning to real-world situations including tax, tip, discount, markup, markdown, and simple interest.
  • •Convert between percents, fractions, and decimals fluently
  • •Calculate the percent of a number using proportions and equations
  • •Solve percent increase and decrease problems
  • +1 more objectives
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6
3-4 days
Algebraic Expressions: The Language of Math
Learn to write, interpret, and simplify algebraic expressions using variables, constants, combining like terms, and the distributive property.
  • •Identify variables, constants, coefficients, and terms in algebraic expressions
  • •Translate word problems into algebraic expressions
  • •Simplify expressions by combining like terms
  • +1 more objectives
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7
4-5 days
Solving Equations: Finding the Unknown
Learn to solve one-step and two-step equations by applying inverse operations to find unknown values in real-world contexts.
  • •Solve one-step equations involving addition, subtraction, multiplication, and division
  • •Solve two-step equations by applying inverse operations in the correct order
  • •Write equations from real-world situations and interpret solutions in context
  • +1 more objectives
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8
3-4 days
Inequalities: When the Answer Isn't Exact
Write, solve, and graph one-step and two-step inequalities, and apply them to real-world situations where a range of values is acceptable.
  • •Write inequalities using <, >, ≤, and ≥ from real-world descriptions
  • •Graph inequalities on a number line using open and closed circles
  • •Solve one-step and two-step inequalities using inverse operations
  • +1 more objectives
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9
3-4 days
Geometry: Angles and Relationships
Classify angles, find missing angle measures, and discover why angles in triangles always sum to 180°.
  • •Classify angles as acute, right, obtuse, or straight
  • •Identify and calculate complementary and supplementary angles
  • •Understand vertical angles and their properties
  • +1 more objectives
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10
4-5 days
Circles: Area and Circumference
Discover pi, calculate circumference and area of circles, and solve real-world problems with circular shapes.
  • •Understand pi as the ratio of circumference to diameter
  • •Calculate the circumference of a circle using C = πd and C = 2πr
  • •Calculate the area of a circle using A = πr²
  • +1 more objectives
Start learning
11
4-5 days
3D Figures: Surface Area and Volume
Explore nets, calculate surface area of prisms and pyramids, and find volumes of rectangular, triangular, and cylindrical containers.
  • •Understand nets as unfoldings of three-dimensional figures
  • •Calculate surface area of rectangular prisms, triangular prisms, and pyramids
  • •Calculate volume of rectangular prisms, triangular prisms, and cylinders using V = B × h
  • +1 more objectives
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12
4-5 days
Statistics: Making Sense of Data
Understand populations and samples, calculate measures of center and variability, and compare data sets.
  • •Distinguish between populations and samples, and evaluate sampling methods
  • •Calculate and interpret mean, median, mode, and range
  • •Calculate and interpret interquartile range (IQR) and mean absolute deviation (MAD)
  • +1 more objectives
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13
3-4 days
Data Displays: Showing What Numbers Mean
Create and interpret dot plots, histograms, and box plots; choose appropriate displays and draw conclusions from data.
  • •Create and interpret dot plots and histograms
  • •Create and interpret box plots (box-and-whisker plots)
  • •Choose appropriate data displays for different types of data
  • +1 more objectives
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14
4-5 days
Personal Financial Literacy
Master income, budgeting, credit, debit, interest, and saving to build a foundation for lifelong financial decision-making.
  • •Understand the difference between gross income and net income (take-home pay)
  • •Create and maintain a budget tracking income and expenses
  • •Compare credit and debit cards, and understand how interest works
  • +1 more objectives
Start learning

Grade 7 Mathematics. Designed for Texas homeschool families. TEKS §111.27 aligned.