Working with rational numbers
Students add, subtract, multiply, and divide with positive and negative numbers, fractions, and decimals. Expect homework where a negative balance or a temperature drop has to be tracked carefully.
What does a student learn in
This is the year math stretches into the world of negatives, percents, and proportions. Students work with positive and negative numbers, solve problems with ratios and rates, and use equations to answer real questions about money and measurement. They also start reasoning about probability and comparing data sets. By spring, students can calculate a tip or a discount, solve a two-step equation, and explain why their answer makes sense.
- Negative numbers
- Ratios and proportions
- Percents
- Two-step equations
- Probability
- Personal finance
Year at a glance
How the year usually goes. Every school and district set their own curriculum, so treat this as a guide, not official pacing.
- 1
- 2
Ratios, rates, and percents
Students use ratios and percents to solve real problems like sales tax, tips, discounts, and unit prices. They also work with scale drawings, comparing a map or model to the real thing.
- 3
Expressions and equations
Students write and solve equations and inequalities with variables on both sides. They translate a word problem into an equation and check whether the answer makes sense.
- 4
Geometry and measurement
Students find the area of triangles and other shapes, and the volume and surface area of boxes and prisms. They also use the relationship between a circle's distance across and around it.
- 5
Probability and data
Students predict how likely something is, run simple experiments, and compare the results to what they expected. They also read and compare data sets using graphs and averages.
- 6
Personal financial literacy
Students look at real money decisions: saving, budgeting, simple interest, and how credit and loans work. They compare the true cost of paying now versus paying later.
Mastery Learning Standards
The required skills a student should display by the end of Grade 7.
Mathematical Process Standards
Mathematical Process Standards
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Apply Mathematics
Students use math to work through real problems, like figuring out a bill, reading a paycheck, or comparing prices. The math connects to situations outside the classroom.
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Problem-Solving Model
Students work through math problems by reading what's given, planning an approach, solving it, and then checking whether the answer actually makes sense.
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Select Tools and Techniques
Students pick the right tool for the math problem in front of them, whether that is a calculator, a sketch on paper, or a quick mental estimate. The goal is knowing which approach makes the most sense before starting.
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Communicate Mathematical Ideas
Students explain their math thinking in more than one way, using words, diagrams, and graphs to show how they got an answer and why it makes sense.
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Form Representations
Students turn a math idea into a diagram, table, or equation so it's easier to work with and explain. The representation isn't the final answer; it's the thinking made visible.
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Analyze Relationships
Students look at patterns or rules in math problems and explain how different ideas connect to each other. This standard is about making sense of the math, not just getting an answer.
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Justify Reasoning
Students explain their math answers out loud or in writing, using exact terms instead of vague ones. Getting the words right matters as much as getting the answer right.
| Standard | Definition | Code |
|---|---|---|
| Apply Mathematics | Students use math to work through real problems, like figuring out a bill, reading a paycheck, or comparing prices. The math connects to situations outside the classroom. | TX-MATH.PROC.7.1 |
| Problem-Solving Model | Students work through math problems by reading what's given, planning an approach, solving it, and then checking whether the answer actually makes sense. | TX-MATH.PROC.7.2 |
| Select Tools and Techniques | Students pick the right tool for the math problem in front of them, whether that is a calculator, a sketch on paper, or a quick mental estimate. The goal is knowing which approach makes the most sense before starting. | TX-MATH.PROC.7.3 |
| Communicate Mathematical Ideas | Students explain their math thinking in more than one way, using words, diagrams, and graphs to show how they got an answer and why it makes sense. | TX-MATH.PROC.7.4 |
| Form Representations | Students turn a math idea into a diagram, table, or equation so it's easier to work with and explain. The representation isn't the final answer; it's the thinking made visible. | TX-MATH.PROC.7.5 |
| Analyze Relationships | Students look at patterns or rules in math problems and explain how different ideas connect to each other. This standard is about making sense of the math, not just getting an answer. | TX-MATH.PROC.7.6 |
| Justify Reasoning | Students explain their math answers out loud or in writing, using exact terms instead of vague ones. Getting the words right matters as much as getting the answer right. | TX-MATH.PROC.7.7 |
K-8 mathematics content strands
K-8 mathematics content strands
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Number and Operations
Students work with whole numbers, fractions, decimals, and negative numbers to solve real problems. This is the foundation for most of the math they do in seventh grade.
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Algebraic Reasoning
Students look for patterns in numbers and shapes, write expressions or equations to describe what they find, and use those equations to figure out missing values or predict what comes next.
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Geometry and Measurement
Students measure, sort, and describe flat and solid shapes, then use what they know about angles, area, and volume to solve everyday problems.
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Data Analysis
Students read and build graphs and tables, then use measures like mean and median to describe what the data shows. The focus is on choosing the right display and explaining what the numbers actually mean.
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Personal Financial Literacy
Students use math to make real money decisions: how much to save, how much to spend, and what it means to borrow money and pay it back.
| Standard | Definition | Code |
|---|---|---|
| Number and Operations | Students work with whole numbers, fractions, decimals, and negative numbers to solve real problems. This is the foundation for most of the math they do in seventh grade. | TX-MATH.K8.7.1 |
| Algebraic Reasoning | Students look for patterns in numbers and shapes, write expressions or equations to describe what they find, and use those equations to figure out missing values or predict what comes next. | TX-MATH.K8.7.2 |
| Geometry and Measurement | Students measure, sort, and describe flat and solid shapes, then use what they know about angles, area, and volume to solve everyday problems. | TX-MATH.K8.7.3 |
| Data Analysis | Students read and build graphs and tables, then use measures like mean and median to describe what the data shows. The focus is on choosing the right display and explaining what the numbers actually mean. | TX-MATH.K8.7.4 |
| Personal Financial Literacy | Students use math to make real money decisions: how much to save, how much to spend, and what it means to borrow money and pay it back. | TX-MATH.K8.7.5 |
Assessments
The state tests students at this grade and subject take.
STAAR Mathematics (Grades 6-8)
STAAR Mathematics is the spring summative math test for grades 6 through 8, aligned to the TEKS for math.
- When given:
- spring
- Frequency:
- annual
Common Questions
What math will students work on this year?
Students work a lot with fractions, decimals, percents, and negative numbers, and they start using these to solve real problems with rates and proportions. They also write and solve equations, find areas and volumes of shapes, and read graphs and data tables.
How can families help with math homework at home?
Ask students to explain the problem out loud before solving it, and to show the steps on paper. If students get stuck, ask what the question is really asking and what numbers matter. Checking whether the answer makes sense is often more useful than getting it right the first time.
Where does percent and proportion show up in daily life?
Tips at a restaurant, sales tax, discounts at the store, and sports stats all use percent and ratios. Cooking and doubling a recipe is good practice too. Five minutes of mental math at the register goes a long way.
How should the year be sequenced?
A common path starts with rational number operations, then moves into ratios, rates, and percents, then equations and inequalities. Geometry, area, and volume usually sit in the middle of the year, with probability and data toward the end. Personal financial topics can be woven in during the percent and equations units.
Which skills usually need the most reteaching?
Operations with negative numbers and fractions tend to need the most review, especially subtraction and division. Setting up proportions from a word problem is another common sticking point. Build in short warm-ups that revisit these skills well after the unit ends.
What does the personal finance piece actually look like?
Students work with sales tax, tips, simple interest, budgets, and the basics of how credit works. Problems usually tie back to percent and equations, so it fits naturally into those units rather than sitting on its own.
Is memorizing formulas important this year?
Knowing common formulas for area, circumference, and volume helps, but most assessments provide a formula chart. The bigger goal is choosing the right formula and using it correctly with messy numbers like fractions and decimals.
How do I know students are ready for next year?
By spring, students should solve multi-step problems with rational numbers without freezing up, write and solve two-step equations, and reason through percent problems in context. They should also explain their thinking clearly enough for a classmate to follow.