Math

Grade 10

Master Number Relations and Functions 10

Watch Grade 10 math videos, practice with step-by-step problems

Linear relations were crushing me. The video lessons made slope and intercepts finally click. Went from C to B+ in one term.

Jordan Leblanc

Why Number Relations and Functions 10 Students Choose StudyPug

The complete learning system to master Grade 10 math

Search with Photo

Upload Grade 10 math problems—AI searches and finds the right lesson teaching the concept

Expert Video Teaching

Certified teachers break down polynomials, linear relations, and functions step-by-step

Unlimited Practice

5,000+ teacher-created practice questions prepare you for Grade 10 math exams

Start Learning Now

How New Brunswick Students Use StudyPug

1

Select Grade Level

Choose your New Brunswick grade (K-12) and current math topics.

2

Get Unstuck

Upload homework problems or browse curriculum-aligned lessons.

3

Practice & Master

Work through similar problems until concepts stick.

4

See Results

Track progress and watch grades improve week by week.

Find the right New Brunswick Grade 10 course

Number Relations and Functions 10

Geometry, Measurement and Finance 10

Number Relations and Functions 10 Help in New BrunswickHelp

SCO_ID	Curriculum Outcome - Elaborations	StudyPug Topic
NB.SCO.N10.AN1	Demonstrate an understanding of factors of whole numbers: Determining prime factors, greatest common factor, least common multiple, square root, cube root	Prime factorization Greatest common factors (GCF) Least common multiple (LCM) Square and square roots Cubic and cube roots

NB.SCO.N10.AN2

Demonstrate an understanding of irrational numbers: Representing, identifying and simplifying irrational numbers, ordering irrational numbers

Rational vs. Irrational numbers

Converting radicals to mixed radicals

Converting radicals to entire radicals

Evaluating and simplifying radicals

NB.SCO.N10.AN3

Demonstrate an understanding of powers with integral and rational exponents: Applying exponent rules and converting between radicals and rational exponents

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Negative exponent rule

Combining the exponent rules

Scientific notation

Convert between radicals and rational exponents

Product rule of exponents

NB.SCO.N10.AN4

Demonstrate an understanding of multiplication of polynomial expressions: Multiplying monomials, binomials and trinomials concretely, pictorially and symbolically

Multiplying monomial by monomial

Multiplying monomial by binomial

Multiplying binomial by binomial

Multiplying polynomial by polynomial

Applications of polynomials

NB.SCO.N10.AN5

Demonstrate an understanding of common factors and trinomial factoring: Factoring polynomials concretely, pictorially and symbolically

Common factors of polynomials

Factoring polynomials by grouping

Factoring polynomials: x^2 + bx + c

Factoring polynomials: ax^2 + bx + c

Factoring perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2

Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)

Word problems of polynomials

NB.SCO.N10.RF1

Interpret and explain the relationships among data, graphs and situations: Analyzing and describing relationships between variables in various contexts

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

Identifying functions

NB.SCO.N10.RF2

Demonstrate an understanding of relations and functions: Identifying and representing relations and functions using various methods

Graphing from slope-intercept form y=mx+b

Graphing linear functions using a single point and slope

Word problems of graphing linear functions

Function notation

NB.SCO.N10.RF3

Demonstrate an understanding of slope: Analyzing slope with respect to rise and run, line segments, rate of change, parallel and perpendicular lines

Slope equation:

m = \frac{y_2-y_1}{x_2- x_1}

Parallel line equation

Perpendicular line equation

Combination of both parallel and perpendicular line equations

Rate of change

NB.SCO.N10.RF4

Describe and represent linear relations: Using words, ordered pairs, tables of values, graphs, and equations to represent linear relations

Slope intercept form: y = mx + b

General form: Ax + By + C = 0

Point-slope form: y - y_1 = m(x - x_1)

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

NB.SCO.N10.RF5

Determine the characteristics of the graphs of linear relations: Analyzing intercepts, slope, domain, and range of linear relations

Introduction to linear equations

Introduction to nonlinear equations

Special case of linear equations: Horizontal lines

Special case of linear equations: Vertical lines

Parallel and perpendicular lines in linear functions

NB.SCO.N10.RF6

Relate linear relations expressed in various forms: Converting between slope-intercept, general, and slope-point forms of linear relations

Determining number of solutions to linear equations

Solving systems of linear equations by graphing

Applications of linear relations

Applications of linear equations

Solving systems of linear equations by elimination

NB.SCO.N10.RF7

Determine the equation of a linear relation: Given a graph, point and slope, two points, or parallel/perpendicular line equation

Unknown number related questions in linear equations

Distance and time related questions in linear equations

Rectangular shape related questions in linear equations

Solving systems of linear equations by substitution

NB.SCO.N10.RF8

Solve problems involving distance between two points and midpoint of a line segment: Applying distance and midpoint formulas in various contexts

Distance formula:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Midpoint formula:

M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)

Use sine ratio to calculate angles and sides (Sin = o / h)

Use cosine ratio to calculate angles and sides (Cos = a / h)

Use tangent ratio to calculate angles and sides (Tan = o / a)

NB.SCO.N10.RF9

Represent a linear function using function notation: Converting between various representations of linear functions using function notation

Combination of SohCahToa questions

Word problems relating ladder in trigonometry

Word problems relating guy wire in trigonometry

Solving expressions using 45-45-90 special right triangles

Solving expressions using 30-60-90 special right triangles

NB.SCO.N10.RF10

Solve problems involving systems of linear equations in two variables: Solving systems graphically and algebraically in various contexts

Other word problems relating angles in trigonometry

Factor by taking out the greatest common factor

Factor by grouping

Factoring difference of squares:

x^2 - y^2

Factoring trinomials

Complete New Brunswick Number Relations and Functions 10 Coverage

Number Relations and Functions 10 Lessons

78

Video Explanations

476

Practice Problems

754

Canadian Standards

100% Aligned

Why New Brunswick Grade 10 Math Students Love StudyPug

Provincial Exam Preparation

Practice with New Brunswick provincial exam style questions—be ready for test day

Canadian Certified Teachers

Learn from expert New Brunswick teachers who know exactly what you need for Grade 10 math

Learn Anywhere

Desktop, tablet, or phone—your Number Relations and Functions 10 lessons sync across all devices

Get Started Today

Success Stories

Factoring polynomials was impossible until StudyPug. The step-by-step breakdowns made everything clear. Aced my unit test.

Alex Cormier

Homework used to take hours. The AI finds exact lessons I need instantly. Now I finish way faster and actually understand it.

Riley Boudreau

Frequently Asked Questions

Everything you need to know about mastering Number Relations and Functions 10

What does Number Relations and Functions 10 coverage include?

Complete Grade 10 NB math curriculum with video lessons on number relations, radicals, polynomials, linear relations, and functions. Includes practice problems, step-by-step solutions, and progress tracking for every topic.

How does the AI photo search work for Grade 10 math?

Take a photo of any math problem, and our AI finds the exact lesson teaching that concept. It's like having a personal tutor who knows exactly what you need for your New Brunswick curriculum.

Are the teachers certified New Brunswick educators?

Yes! Our teachers are Canadian certified educators who understand New Brunswick curriculum and create lessons specifically for Grade 10 Number Relations and Functions standards.

Can I use StudyPug on my phone or tablet?

Absolutely! StudyPug works on desktop, tablet, and mobile. Your progress syncs automatically so you can study for your NB provincial exams anywhere, anytime.

How will StudyPug help me prepare for provincial exams?

We include New Brunswick provincial exam-style practice questions and teach the exact concepts you need. Students report significantly improved test scores and confidence on exam day.

How StudyPug Works

Join Today

Practice Smart, See Real Progress

Unlimited Targeted Practice

10,000+ questions adjust to your exact skill level. Never run out of problems that challenge you.

Visual Progress Tracking

See mastery percentage for every topic. Parents get weekly progress emails automatically.

Achievement System

Earn badges for consistency and improvement. Build learning streaks that motivate daily practice

Detailed Analytics

Time spent, problems solved, concepts mastered. Identify exactly where more practice is needed.

Start Now For Free

End Math Struggles Today

New Brunswick curriculum-aligned help that actually works