What math will students actually learn this year?

Students work with more complex expressions and equations, including ones with variables in exponents and fractions with variables in the denominator. They also study new families of graphs, like curves that grow quickly or repeat in waves, and they use samples of data to make claims about larger groups.

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

Ask students to explain what the problem is asking before they try to solve it. If they're stuck, suggest trying a simpler version with small numbers first. Graphing the equation on a free tool like Desmos often helps students see what's going on.

Does my child still need to know basic algebra and fractions?

Yes. Most struggles this year trace back to shaky fraction work, signed numbers, or solving basic equations. Ten minutes of review on those skills, a few times a week, pays off more than re-reading the current chapter.

What should students be able to do by the end of the year?

Students should solve equations involving polynomials and fractions with variables, sketch and interpret graphs of several function families, and read a data sample to draw a reasonable conclusion about a larger group. They should also explain their reasoning, not just produce an answer.

How should the year be sequenced?

A common path starts with polynomial and rational expressions and equations, moves into function families one at a time, and ends with statistics and sampling. Front-loading algebra skills gives students the fluency they need before tackling exponential, logarithmic, and trigonometric graphs later.

Which topics usually need the most reteaching?

Rational expressions, logarithm rules, and the unit circle tend to be the stickiest. Plan for spiral review on these throughout the year rather than a single unit. Short warm-ups that revisit earlier topics work better than long reteach blocks.

How do I know if my child is on track for college math?

Watch for whether students can move between an equation, a graph, and a table of values for the same situation. Students who can shift between those three views are usually ready. Students who can only follow steps from an example often struggle in the next course.

What does mastery of the statistics work look like?

Students should take a sample of data and say what it suggests about a larger group, while also naming the limits of that claim. Mastery shows up when students question how a sample was collected, not just when they compute a mean or margin.

What does a student learn in ?

This is the year math stretches beyond straight lines into curves, waves, and growth that speeds up or slows down. Students work with polynomials and rational expressions, then solve equations built from them. They graph exponential, logarithmic, and trigonometric functions to model real situations like interest, sound, and seasons. By spring, students can use a sample of data to make a reasoned claim about a larger group.

Polynomials
Rational expressions
Exponential functions
Logarithms
Trigonometric functions
Statistics and sampling

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
Polynomials and rational expressions
Students start the year working with longer algebra expressions that include powers and fractions with variables. They learn to add, multiply, and simplify them, and to solve equations built from them.
2
Polynomial functions and graphs
Students move from expressions to graphs. They sketch curves that bend more than once, find where the graph crosses zero, and connect the shape of a graph to the equation behind it.
3
Exponential and logarithmic models
Students study growth and decay, the math behind interest, populations, and half-life. Logarithms come in as the tool to undo exponents and solve for time or rate.
4
Trigonometric functions
Students learn the wave-shaped graphs of sine and cosine and use them to describe things that repeat, like tides, sound, and seasons. They also work with angles beyond a single triangle.
5
Statistics and sampling
Students close the year by using data from a sample to draw careful conclusions about a larger group. They look at what a survey or experiment can and cannot tell us.

Mastery Learning Standards

The required skills a student should display by the end of Grade 12.

Algebra II

Polynomial and Rational

PA-MATH.A2.hs-algebra-2.1

Algebra II

Students add, subtract, multiply, and divide expressions with variables raised to powers, then solve equations built from those expressions. This includes fractions where the numerator or denominator contains a polynomial.
Functions and Models

PA-MATH.A2.hs-algebra-2.2

Algebra II

Students graph curves like exponentials and sine waves, then use those shapes to model real situations, like population growth or sound patterns. The focus is on reading what a graph reveals and choosing the right function type for the data.
Statistics and Inference

PA-MATH.A2.hs-algebra-2.3

Algebra II

Students use data collected from a smaller group to draw conclusions about a larger population. They apply statistical reasoning to decide how confident they can be that their sample reflects the whole group.

Standard	Definition	Code
Polynomial and Rational Algebra II	Students add, subtract, multiply, and divide expressions with variables raised to powers, then solve equations built from those expressions. This includes fractions where the numerator or denominator contains a polynomial.	PA-MATH.A2.hs-algebra-2.1
Functions and Models Algebra II	Students graph curves like exponentials and sine waves, then use those shapes to model real situations, like population growth or sound patterns. The focus is on reading what a graph reveals and choosing the right function type for the data.	PA-MATH.A2.hs-algebra-2.2
Statistics and Inference Algebra II	Students use data collected from a smaller group to draw conclusions about a larger population. They apply statistical reasoning to decide how confident they can be that their sample reflects the whole group.	PA-MATH.A2.hs-algebra-2.3

Algebra II

Polynomial and Rational

PA-MATH.A2.hs-algebra-2.1

Algebra II

Students add, subtract, multiply, and divide expressions with variables raised to powers, then solve equations built from those expressions. This includes fractions where the numerator or denominator contains a polynomial.
Functions and Models

PA-MATH.A2.hs-algebra-2.2

Algebra II

Students graph curves like exponentials and sine waves, then use those shapes to model real situations, like population growth or sound patterns. The focus is on reading what a graph reveals and choosing the right function type for the data.
Statistics and Inference

PA-MATH.A2.hs-algebra-2.3

Algebra II

Students use data collected from a smaller group to draw conclusions about a larger population. They apply statistical reasoning to decide how confident they can be that their sample reflects the whole group.

Standard	Definition	Code
Polynomial and Rational Algebra II	Students add, subtract, multiply, and divide expressions with variables raised to powers, then solve equations built from those expressions. This includes fractions where the numerator or denominator contains a polynomial.	PA-MATH.A2.hs-algebra-2.1
Functions and Models Algebra II	Students graph curves like exponentials and sine waves, then use those shapes to model real situations, like population growth or sound patterns. The focus is on reading what a graph reveals and choosing the right function type for the data.	PA-MATH.A2.hs-algebra-2.2
Statistics and Inference Algebra II	Students use data collected from a smaller group to draw conclusions about a larger population. They apply statistical reasoning to decide how confident they can be that their sample reflects the whole group.	PA-MATH.A2.hs-algebra-2.3

Assessments

The state tests students at this grade and subject take.

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 math will students actually learn this year?
Students work with more complex expressions and equations, including ones with variables in exponents and fractions with variables in the denominator. They also study new families of graphs, like curves that grow quickly or repeat in waves, and they use samples of data to make claims about larger groups.
How can I help at home if my child gets stuck on a problem?
Ask students to explain what the problem is asking before they try to solve it. If they're stuck, suggest trying a simpler version with small numbers first. Graphing the equation on a free tool like Desmos often helps students see what's going on.
Does my child still need to know basic algebra and fractions?
Yes. Most struggles this year trace back to shaky fraction work, signed numbers, or solving basic equations. Ten minutes of review on those skills, a few times a week, pays off more than re-reading the current chapter.
What should students be able to do by the end of the year?
Students should solve equations involving polynomials and fractions with variables, sketch and interpret graphs of several function families, and read a data sample to draw a reasonable conclusion about a larger group. They should also explain their reasoning, not just produce an answer.
How should the year be sequenced?
A common path starts with polynomial and rational expressions and equations, moves into function families one at a time, and ends with statistics and sampling. Front-loading algebra skills gives students the fluency they need before tackling exponential, logarithmic, and trigonometric graphs later.
Which topics usually need the most reteaching?
Rational expressions, logarithm rules, and the unit circle tend to be the stickiest. Plan for spiral review on these throughout the year rather than a single unit. Short warm-ups that revisit earlier topics work better than long reteach blocks.
How do I know if my child is on track for college math?
Watch for whether students can move between an equation, a graph, and a table of values for the same situation. Students who can shift between those three views are usually ready. Students who can only follow steps from an example often struggle in the next course.
What does mastery of the statistics work look like?
Students should take a sample of data and say what it suggests about a larger group, while also naming the limits of that claim. Mastery shows up when students question how a sample was collected, not just when they compute a mean or margin.