Operations with positive and negative numbers
Students start the year working with negative numbers alongside positive ones. They add, subtract, multiply, and divide using number lines, temperatures, and money so the rules start to feel familiar.
What does a student learn in
This is the year math leans hard on ratios, percents, and negative numbers. Students use proportions to solve real problems like sales tax, tips, discounts, and scaling a recipe or map. They also start working with positive and negative numbers on a number line, adding and subtracting them like money owed or temperatures below zero. By spring, students can find the sale price of a shirt that is 30 percent off and explain how they got there.
- Ratios and proportions
- Percents
- Negative numbers
- Pre-algebra
- Probability
- Geometry
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 everyday problems like tips, discounts, taxes, and unit prices. They also work with scale drawings and maps where one inch stands in for a real distance.
- 3
Expressions and equations
Students write and solve equations with a letter standing in for an unknown number. They use these equations to answer word problems about savings, distances, and other real situations.
- 4
Geometry and measurement
Students find the area and circumference of circles and the surface area and volume of boxes and prisms. They also study angles and slices of three-dimensional shapes.
- 5
Statistics and probability
Students close the year by comparing data sets and using small samples to make predictions about a larger group. They also figure the chances of events like coin flips and spinners.
Mastery Learning Standards
The required skills a student should display by the end of Grade 7.
Standards for Mathematical Practice
Standards for Mathematical Practice
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Make Sense of Problems
Students read a problem carefully, figure out what it's actually asking, and keep trying even when the path isn't obvious. They check whether their answer makes sense before calling it done.
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Reason Abstractly
Students take a real-world problem and translate it into numbers and equations to solve it, then step back and check whether the answer actually makes sense in the original situation.
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Construct Arguments
Students explain their math thinking step by step and find flaws in someone else's reasoning. They back up their answer with facts, not just a feeling that it's right.
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Model with Mathematics
Students use math to make sense of real situations, like figuring out a grocery bill, splitting a cost with friends, or reading a chart at work. The numbers and equations connect to something that actually matters outside the classroom.
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Use Tools Strategically
Students choose the right tool for the job, whether that's a calculator, a pencil, or a quick mental estimate. They know when each one helps and when it gets in the way.
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Attend to Precision
Students use the right math words, label answers with correct units (like inches or dollars), and check that their calculations are exact. Sloppy shortcuts cost points here.
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Use Structure
Students learn to spot patterns and hidden structure in math problems, like recognizing that a shape or equation follows a rule they already know. That recognition helps them solve new problems faster.
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Express Regularity
Students notice when the same steps keep appearing in a problem and use that pattern to find a shortcut or rule. Spotting the repeat is the skill.
| Standard | Definition | Code |
|---|---|---|
| Make Sense of Problems | Students read a problem carefully, figure out what it's actually asking, and keep trying even when the path isn't obvious. They check whether their answer makes sense before calling it done. | MD-MATH.MP.7.1 |
| Reason Abstractly | Students take a real-world problem and translate it into numbers and equations to solve it, then step back and check whether the answer actually makes sense in the original situation. | MD-MATH.MP.7.2 |
| Construct Arguments | Students explain their math thinking step by step and find flaws in someone else's reasoning. They back up their answer with facts, not just a feeling that it's right. | MD-MATH.MP.7.3 |
| Model with Mathematics | Students use math to make sense of real situations, like figuring out a grocery bill, splitting a cost with friends, or reading a chart at work. The numbers and equations connect to something that actually matters outside the classroom. | MD-MATH.MP.7.4 |
| Use Tools Strategically | Students choose the right tool for the job, whether that's a calculator, a pencil, or a quick mental estimate. They know when each one helps and when it gets in the way. | MD-MATH.MP.7.5 |
| Attend to Precision | Students use the right math words, label answers with correct units (like inches or dollars), and check that their calculations are exact. Sloppy shortcuts cost points here. | MD-MATH.MP.7.6 |
| Use Structure | Students learn to spot patterns and hidden structure in math problems, like recognizing that a shape or equation follows a rule they already know. That recognition helps them solve new problems faster. | MD-MATH.MP.7.7 |
| Express Regularity | Students notice when the same steps keep appearing in a problem and use that pattern to find a shortcut or rule. Spotting the repeat is the skill. | MD-MATH.MP.7.8 |
K-8 Mathematics Content
K-8 Mathematics Content
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Counting and Number
Students work with whole numbers, fractions, and negative numbers to solve grade-level problems. They use what they know about how numbers are built and related to reason through calculations and comparisons.
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Operations and Algebraic Thinking
Students practice setting up and solving problems using addition, subtraction, multiplication, and division, often writing expressions or equations to show their thinking before they calculate.
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Measurement and Data
Students read and build tables and graphs, then use the numbers in them to draw conclusions. This standard covers the full loop: collecting data, displaying it clearly, and explaining what it shows.
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Geometry
Students identify and sort flat and solid shapes by their properties, then calculate measurements like area, surface area, and volume using grade-level formulas.
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Ratios and Proportional Relationships
Students use ratios and proportions to solve everyday problems, like figuring out a recipe for a larger crowd or finding a unit price at the store. The math connects two related quantities and asks what happens when one of them changes.
| Standard | Definition | Code |
|---|---|---|
| Counting and Number | Students work with whole numbers, fractions, and negative numbers to solve grade-level problems. They use what they know about how numbers are built and related to reason through calculations and comparisons. | MD-MATH.K8.7.1 |
| Operations and Algebraic Thinking | Students practice setting up and solving problems using addition, subtraction, multiplication, and division, often writing expressions or equations to show their thinking before they calculate. | MD-MATH.K8.7.2 |
| Measurement and Data | Students read and build tables and graphs, then use the numbers in them to draw conclusions. This standard covers the full loop: collecting data, displaying it clearly, and explaining what it shows. | MD-MATH.K8.7.3 |
| Geometry | Students identify and sort flat and solid shapes by their properties, then calculate measurements like area, surface area, and volume using grade-level formulas. | MD-MATH.K8.7.4 |
| Ratios and Proportional Relationships | Students use ratios and proportions to solve everyday problems, like figuring out a recipe for a larger crowd or finding a unit price at the store. The math connects two related quantities and asks what happens when one of them changes. | MD-MATH.K8.7.5 |
Assessments
The state tests students at this grade and subject take.
MCAP: Mathematics (Grades 3-8)
Maryland's spring summative math test for grades 3 through 8, aligned to the Maryland College and Career-Ready Standards for Mathematics.
- When given:
- spring
- Frequency:
- annual
Common Questions
What math will students work on this year?
Students spend a lot of time on ratios, percents, and proportions. They also work with positive and negative numbers, solve equations with a variable, find areas and volumes of shapes, and start using samples to make predictions about a larger group.
How can I help with math at home in just a few minutes a day?
Use real situations. Sale prices at the store, tip at a restaurant, scaling a recipe up or down, or comparing gas mileage all give good practice with percents and ratios. Ask students to estimate first, then check with a calculator.
What does mastery look like by the end of the year?
Students should solve a percent or proportion problem from a word problem on their own, add and subtract negative numbers without a number line, and solve a two-step equation like 3x + 5 = 20. They should also explain their reasoning in a sentence or two.
How should I sequence the year?
Most teachers start with ratios and proportional relationships, since percents, scale, and unit rates depend on that foundation. Move to operations with rational numbers next, then expressions and equations, then geometry and probability and statistics later in the year.
Which topics usually need the most reteaching?
Negative numbers and percent problems take the longest. Students often confuse percent of a number with percent change, and signs trip them up when subtracting negatives or distributing. Plan extra practice and short warm-ups on these all year.
My child says they are bad at math. What should I do?
Pick one small skill at a time and practice it for five minutes. Fractions, decimals, and times tables still matter in seventh grade math, and gaps there make new work feel impossible. Praise effort and steady practice over speed.
Does memorizing times tables still matter at this age?
Yes. Students who still count on fingers for 7 times 8 will struggle with ratios, fractions, and equations because their attention goes to the small step instead of the problem. A few minutes of flash cards a week pays off.
How do I know if students are ready for eighth grade math?
Check that they can solve a multi-step word problem with percents, work fluently with negative numbers, solve a two-step equation, and find the area or volume of a basic shape. If those feel solid by spring, they are ready.
What should I do when homework gets too hard to help with?
Ask the student to explain the example problem from class or the textbook out loud. Often the steps come back once they talk through one they already know. If it still does not click, send a short note to the teacher rather than teaching a different method.