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Learning Standards Standards

What does a student learn in ?

This is the year math shifts from arithmetic to algebra. Students work with lines and their equations, learning how slope describes the steepness of a graph and how two equations can be solved together. They also start reasoning with square roots, exponents, and the Pythagorean theorem to find missing sides of triangles. By spring, students can graph a line from an equation and explain what its slope means.

  • Linear equations
  • Slope and graphs
  • Pythagorean theorem
  • Exponents
  • Square roots
  • Systems of equations
Source: Delaware Delaware Content Standards
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

    Rational and irrational numbers

    Students learn that some numbers, like the square root of 2 or pi, cannot be written as a simple fraction. They place these numbers on a number line and compare their sizes using decimal estimates.

  2. 2

    Exponents and scientific notation

    Students work with powers like 10 to the 6th and learn shortcuts for multiplying and dividing them. They use scientific notation to write very large and very small numbers, the way scientists describe distances in space or the size of a cell.

  3. 3

    Linear equations and slope

    Students solve equations with a variable on both sides and graph straight lines. They learn that slope describes how steep a line is, like the pitch of a ramp, and connect it to real situations such as cost per hour or miles per gallon.

  4. 4

    Functions and systems

    Students see a function as a rule that turns one number into another, like a price calculator. They also solve systems of two equations to find where two lines cross, which answers questions like when two plans cost the same.

  5. 5

    Geometry and the Pythagorean theorem

    Students use the Pythagorean theorem to find missing side lengths in right triangles and distances on a map. They also study how shapes slide, flip, turn, and resize, and find the volume of cylinders, cones, and spheres.

  6. 6

    Data, scatter plots, and patterns

    Students plot pairs of measurements, like height and arm span, on a scatter plot and draw a line that fits the trend. They use the line to make predictions and decide whether two things actually move together.

Mastery Learning Standards
The required skills a student should display by the end of Grade 8.
Standards for Mathematical Practice

  • Make Sense of Problems

    DE-MATH.MP.8.1

    Students read a problem carefully, figure out what it is actually asking, and keep working even when the answer is not obvious. They check whether their answer makes sense before calling it done.

  • Reason Abstractly

    DE-MATH.MP.8.2

    Students take a real problem, strip away the story to work with numbers and symbols, then translate the answer back into something meaningful in context.

  • Construct Arguments

    DE-MATH.MP.8.3

    Students explain why their math answer is correct, using numbers or examples as proof. They also listen to how classmates solved the same problem and point out any steps that don't hold up.

  • Model with Mathematics

    DE-MATH.MP.8.4

    Students use math to make sense of real situations, like estimating a bill, reading a map, or figuring out how long a trip will take. The math grows out of the problem, not the other way around.

  • Use Tools Strategically

    DE-MATH.MP.8.5

    Students choose the right tool for the problem, whether that means grabbing a calculator, sketching it out by hand, or making a quick estimate in their head.

  • Attend to Precision

    DE-MATH.MP.8.6

    Students choose exact words, correct units, and careful calculations when explaining or solving math problems. Sloppy labels or vague language are treated as actual errors, not minor details.

  • Use Structure

    DE-MATH.MP.8.7

    Students learn to spot patterns and hidden structure in math problems, then use those patterns as shortcuts. Recognizing that a complex expression breaks into familiar parts is the skill.

  • Express Regularity

    DE-MATH.MP.8.8

    Students notice when the same steps keep showing up in a problem and use that pattern as a shortcut or rule. It's the habit of asking, "Why does this keep working?" and turning the answer into something useful.

K-8 Mathematics Content

  • Counting and Number

    DE-MATH.K8.8.1

    Counting and number skills now cover the full range of numbers students meet in 8th grade: whole numbers, fractions, and negatives. Students use what they know about how numbers work to solve grade-level problems.

  • Operations and Algebraic Thinking

    DE-MATH.K8.8.2

    Students use addition, subtraction, multiplication, and division to write and solve expressions that model real problems. The focus is on setting up the math correctly, not just calculating an answer.

  • Measurement and Data

    DE-MATH.K8.8.3

    Reading a table or graph and pulling out what the numbers actually mean. Students use statistics to summarize data sets and explain the patterns or differences they find.

  • Geometry

    DE-MATH.K8.8.4

    Students sort and measure flat shapes (like triangles and circles) and solid shapes (like cones and cubes), then explain how their angles, sides, and faces relate to each other.

  • Ratios and Proportional Relationships

    DE-MATH.K8.8.5

    Students use ratios and proportions to solve everyday problems, like finding the best price per item or scaling a recipe up or down. The math connects multiplication and division to situations students actually encounter.

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

DeSSA: Mathematics (Smarter Balanced, Grades 3-8)

Delaware's spring summative math test for grades 3 through 8, aligned to the Delaware Math Standards.

When given:
spring
Frequency:
annual
Official source
National Monitoring

NAEP (National Assessment of Educational Progress)

Federally administered sample-based assessment in reading, mathematics, science, and writing. NAEP results inform state-by-state comparisons rather than individual student or school accountability.

When given:
biennial in winter
Frequency:
every two years
Official source
Common Questions
  • What does a year of math look like at this grade?

    Students work with rational and irrational numbers, solve linear equations, and study lines and slope. They also work with functions, exponents, the Pythagorean theorem, and basic statistics like scatter plots. It is the year algebra starts to take shape.

  • How can I help with math at home if I have not done this in years?

    Ask students to explain their thinking out loud, even on a problem you cannot solve. Talking through the steps matters more than getting the right answer fast. A short five to ten minute check most nights beats one long session on the weekend.

  • Does my child still need to know multiplication facts?

    Yes. Slow recall of basic facts makes equations and slope problems much harder than they need to be. Quick practice with a deck of cards or a few flashcards a few times a week is enough to keep facts sharp.

  • What should I prioritize in the first half of the year?

    Spend real time on rational numbers, exponents, and solving linear equations before pushing into functions and geometry. Students who can move fluently between fractions, decimals, and percents have a much easier time with slope and scatter plots later in the year.

  • Which topics usually need the most reteaching?

    Slope, negative numbers, and the difference between expressions and equations tend to cause the most trouble. Plan to revisit these in short bursts across the year instead of teaching them once and moving on.

  • My child says they are bad at math. What helps?

    Praise effort and specific steps, not speed or being smart. Let students struggle with a problem for a few minutes before stepping in, and treat wrong answers as information about what to practice next. Confidence grows from small wins they can point to.

  • How do I know students are ready for high school math?

    By spring, students should solve multi-step linear equations, graph a line from an equation, and explain what slope means in a real situation. They should also handle exponents and square roots without a calculator on simple problems.

  • How much should a calculator be used at home?

    Save the calculator for problems with messy numbers or many steps. Mental math and pencil-and-paper work build the number sense that makes algebra click. A good rule is to try a problem by hand first, then check with a calculator.