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Learning Standards Standards

What does a student learn in ?

This is the year math stretches past whole numbers into ratios, negative numbers, and the first real taste of algebra. Students compare prices using rates, divide fractions by fractions, and find the area of triangles by breaking shapes apart. Letters start standing in for numbers, so a problem like 3x + 4 = 19 becomes something students can actually solve. By spring, they can write a simple equation from a word problem and graph points in all four quadrants.

  • Ratios and rates
  • Fractions
  • Negative numbers
  • Expressions and equations
  • Area and volume
  • Data and graphs
Source: Pennsylvania Pennsylvania Core 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

    Ratios, rates, and percents

    Students start the year comparing amounts using ratios and rates. They figure out unit prices at the store, scale recipes up or down, and find percents of a number.

  2. 2

    Fractions, decimals, and negatives

    Students divide fractions by fractions and get fluent with decimal math. They also meet negative numbers on a number line and plot points in all four corners of a grid.

  3. 3

    Expressions and equations

    Students start using letters to stand in for numbers. They write short equations for real situations, solve one-step problems, and use inequalities to show a range of possible answers.

  4. 4

    Shapes, area, and volume

    Students find the area of triangles and other flat shapes by breaking them apart. They also measure the volume of boxes with fractional sides and the surface area of 3D figures using nets.

  5. 5

    Data, graphs, and typical values

    Students collect data and show it with dot plots, histograms, and box plots. They learn what the mean and median say about a group and notice how a single outlier can shift the picture.

Mastery Learning Standards
The required skills a student should display by the end of Grade 6.
K-8 Mathematics

  • Numbers and Operations

    PA-MATH.K8.6.1

    Sixth graders work with whole numbers, fractions, decimals, and negative numbers. They add, subtract, multiply, and divide across all of them, choosing the right approach depending on the problem.

  • Algebraic Concepts

    PA-MATH.K8.6.2

    Students translate word problems and real situations into math sentences, then solve them. This includes working with unknowns, comparing values, and finding the range of numbers that make a statement true.

  • Geometry

    PA-MATH.K8.6.3

    Students sort and measure flat and solid shapes, comparing sides, angles, and faces to understand what makes each shape unique.

  • Measurement and Data

    PA-MATH.K8.6.4

    Students collect numbers, organize them into a table or graph, and then describe the data using a typical value like a median or mean.

  • Probability and Statistics

    PA-MATH.K8.6.5

    Students look at data sets and ask how likely something is to happen. They spot patterns in results and describe what those patterns mean in plain terms.

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

PSSA Mathematics (Grades 3-8)

PSSA Mathematics is the spring summative math test for grades 3 through 8, aligned to PA Core Math.

When given:
spring
Frequency:
annual
Official source
Common Questions
  • What math will students work on this year?

    Students work with fractions, decimals, and negative numbers, and start using letters to stand for unknown numbers in equations. They also dig into ratios and percents, find the area and volume of shapes, and read graphs that summarize data.

  • How can I help with math at home in just a few minutes a day?

    Cook together and ask about doubling or halving a recipe. At the store, ask how much three of something will cost, or what 20 percent off means in dollars. Short, real conversations beat long worksheets at this age.

  • What should I do when my child gets stuck on homework?

    Ask them to read the problem out loud and draw a picture or use coins, blocks, or a number line. If they are still stuck, have them explain what they do know about the problem. Most of the time the next step shows up once they slow down.

  • How do I sequence ratios, fractions, and percents across the year?

    Start with ratios and rates using simple whole-number examples, then connect ratios to fractions and decimals once students are comfortable. Percents come last, since they sit on top of that foundation. Revisit each idea with new contexts later in the year.

  • Which skills usually need the most reteaching?

    Operations with fractions and decimals, especially division, tend to need more passes. Negative numbers on a number line and writing an equation from a word problem are also common sticking points. Build in short review warm-ups instead of one big reteach unit.

  • Does my child still need to know basic facts?

    Yes. Quick recall of times tables and basic addition makes the new work much easier, because students can focus on the harder ideas instead of counting on their fingers. Five minutes of practice a few times a week is plenty.

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

    Students can solve a multi-step word problem with fractions, decimals, or percents and explain their reasoning. They can write and solve a simple equation, find the area of a triangle or the volume of a box, and read a graph to answer a question about the data.

  • How do I know my child is ready for seventh grade math?

    Watch for comfort with fractions and decimals in everyday situations and the ability to explain a ratio or a percent in their own words. If they can set up a simple equation for a word problem without panicking, they are in good shape.