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Learning Standards Standards

What does a student learn in ?

This is the year math shifts from whole-number arithmetic to working fluently with negatives, fractions, and percents as one connected system. Students use ratios and proportions to solve real problems like tips, discounts, and scale drawings. They also start writing and solving simple equations with a variable. By spring, students can calculate a 15 percent tip, find a missing side on a scaled map, and solve a problem like 2x + 5 = 17.

  • Ratios and proportions
  • Negative numbers
  • Percents
  • Solving equations
  • Scale drawings
  • Probability
Source: Maine Maine Learning Results
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. 1

    Working with positive and negative numbers

    Students add, subtract, multiply, and divide with negative numbers. They use number lines and real situations like temperatures and bank balances to see how the signs behave.

  2. 2

    Ratios, rates, and percents

    Students use ratios to compare quantities and solve problems with percents, discounts, tips, and scale drawings. Expect questions about unit price at the store and how a recipe scales up.

  3. 3

    Expressions and equations

    Students rewrite expressions with variables and solve two-step equations and simple inequalities. They translate word problems into equations and check that the answer makes sense.

  4. 4

    Geometry of shapes and angles

    Students find area, surface area, and volume of everyday shapes like circles, prisms, and pyramids. They also work with scale drawings and find missing angles where lines cross.

  5. 5

    Statistics and probability

    Students draw conclusions from samples, compare two data sets, and figure out the chance of simple events. They use spinners, dice, and surveys to test predictions against what actually happens.

Mastery Learning Standards
The required skills a student should display by the end of Grade 7.
Standards for Mathematical Practice

  • Make Sense of Problems

    ME-MATH.MP.7.1

    Students read a math problem carefully, figure out what it's actually asking, and keep trying even when the first approach doesn't work.

  • Reason Abstractly

    ME-MATH.MP.7.2

    Students take a real problem, strip it down to numbers and symbols to solve it, then translate the answer back into what it means in real life.

  • Construct Arguments

    ME-MATH.MP.7.3

    Students back up their math answers with reasons and check whether a classmate's reasoning actually holds up.

  • Model with Mathematics

    ME-MATH.MP.7.4

    Students use math to make sense of real situations, like figuring out a budget, reading a chart, or planning a trip. The math comes from the real world, and the answer goes back to it.

  • Use Tools Strategically

    ME-MATH.MP.7.5

    Students choose the right tool for the math problem in front of them, whether that means a calculator, a quick estimate in their head, or working it out on paper.

  • Attend to Precision

    ME-MATH.MP.7.6

    Students use the right math words, label their answers with correct units, and check that their calculations are exact. Saying "about 3" when the answer is exactly 3.2 is the kind of slip this standard targets.

  • Use Structure

    ME-MATH.MP.7.7

    Students notice patterns and shortcuts hiding inside math problems, like how a shape can be broken into smaller pieces or how a number can be rearranged to make calculating easier. That noticing saves time and builds deeper understanding.

  • Express Regularity

    ME-MATH.MP.7.8

    When the same steps keep showing up in a math problem, students pause to ask why that pattern exists. Spotting the shortcut and writing it as a rule is the goal.

K-8 Mathematics Content

  • Counting and Number

    ME-MATH.K8.7.1

    Grade 7 students work with whole numbers, fractions, and negative numbers to solve problems. They use number-system patterns, like how fractions relate to decimals or where negative numbers fall on a number line, to reason through math at this level.

  • Operations and Algebraic Thinking

    ME-MATH.K8.7.2

    Seventh graders use addition, subtraction, multiplication, and division to write expressions and solve real-world problems. They move from basic arithmetic into algebra by translating word problems into equations they can solve step by step.

  • Measurement and Data

    ME-MATH.K8.7.3

    Students read and build tables, graphs, and basic statistics to make sense of real data. They use those tools to answer questions and spot patterns in what the numbers show.

  • Geometry

    ME-MATH.K8.7.4

    Students sort, describe, and measure shapes like triangles, rectangles, and prisms. They use what they know about angles, sides, and faces to explain why shapes belong to certain categories.

  • Ratios and Proportional Relationships

    ME-MATH.K8.7.5

    Students use ratios and proportions to solve everyday problems, like finding the best price per item or scaling a recipe up or down. The focus is on setting up the relationship between two quantities and using it to find a missing value.

Assessments
The state tests students at this grade and subject take.
State Summative

Maine Through Year Assessment: Mathematics (Grades 3-8)

Through-year mathematics assessment for grades 3 through 8, aligned to the Maine Learning Results.

When given:
multiple windows across the year
Frequency:
multiple windows annually
Official source
Common Questions
  • What math will students work on this year?

    Most of the year focuses on rates, ratios, and percents, along with positive and negative numbers. Students also solve equations with variables, work with probability, and find areas and volumes of shapes like circles and prisms.

  • How can I help at home if my child gets stuck on a problem?

    Ask them to read the problem out loud and say what it is asking. Then have them try a smaller version with easier numbers, or draw a quick picture. The goal is to get them unstuck, not to give the answer.

  • What everyday situations show this math in action?

    Tips at a restaurant, sale prices at a store, gas mileage on a trip, and sports stats all use ratios and percents. Bank balances and temperatures below zero bring in negative numbers. Pointing these out builds real-world fluency.

  • How should I sequence the year?

    A common path is ratios and proportional relationships first, then operations with negative numbers, then expressions and equations, then geometry and statistics. Ratios early gives students a foundation they will lean on in every later unit.

  • Which skills usually need the most reteaching?

    Operations with negative numbers, especially subtraction, trip up many students. Setting up proportions from word problems and keeping track of units in multi-step percent problems also need extra time. Build in spiraled practice rather than one-and-done lessons.

  • Does my child still need to practice basic math facts?

    Yes. Quick recall of multiplication and division facts makes the harder work much easier. A few minutes of fact practice a couple times a week keeps the basics sharp without turning math into a chore.

  • What does mastery look like by the end of the year?

    Students can solve multi-step problems with fractions, decimals, and percents, work fluently with negative numbers, and solve two-step equations. They can also reason about probability and find areas and volumes for the shapes covered this year.

  • How do I know students are ready for the next grade?

    Check whether they can set up and solve a proportion from a word problem, handle negative numbers without a calculator, and solve an equation like 3x plus 5 equals 20. If those feel solid, eighth-grade algebra topics will land much better.