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The official New Brunswick Number, Relations and Functions 10 curriculum
New Brunswick defines Number, Relations and Functions 10 by strands and outcomes. MapleMind teaches the same curriculum reorganized for one-skill-at-a-time tutoring — the table shows exactly where every official strand lands, and the ministry's own wording is quoted under each unit below.
Official source New Brunswick's official K-12 education resourcesRead it on the government site — www2.gnb.ca ↗| Official strand | Outcomes | Where MapleMind teaches it |
|---|---|---|
| Strand AN | 5 | Algebra and Number |
| Strand RF | 10 | Relations and Functions |
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How MapleMind teaches Number, Relations and Functions 10 — every unit, lesson, and skill
Every skill below runs as a short session: a plain-words lesson, a worked example, solving it together, then a five-question skill check that earns up to three stars. Guided Mode keeps it teaching instead of answer-handing — turning it off needs a parent's password.
Unit 1Algebra and NumberOfficial strand · Strand AN
Factors of whole numbers, irrational numbers, powers with integral and rational exponents, and the multiplication and factoring of polynomial expressions.
Factors, multiples and roots
- Prime factors, GCF and LCMAN1 — Determine the prime factors of a whole number and use them to find the greatest common factor and least common multiple.
- Square roots and cube rootsAN1 — Determine the square root and cube root of whole numbers, using prime factorization for perfect powers.
Irrational numbers
- Identifying and simplifying irrational numbersAN2 — Represent, identify, and simplify irrational numbers such as radicals in simplest form.
- Ordering irrational numbersAN2 — Order irrational numbers by estimating their values and placing them on a number line.
Powers with integral and rational exponents
- Powers with integral exponentsAN3 — Apply the exponent laws to powers with integral exponents, including zero and negative exponents.
- Powers with rational exponentsAN3 — Apply the exponent laws to powers with rational exponents and relate them to radicals.
Multiplying polynomials
- Multiplying a monomial by a polynomialAN4 — Multiply a monomial by a polynomial using the distributive property, shown concretely, pictorially, and symbolically.
- Multiplying binomials and trinomialsAN4 — Multiply binomials and trinomials, including special products, shown concretely, pictorially, and symbolically.
Factoring polynomials
- Factoring out common factorsAN5 — Factor a polynomial by removing the greatest common factor, shown concretely, pictorially, and symbolically.
- Factoring trinomialsAN5 — Factor trinomials into two binomials, shown concretely, pictorially, and symbolically.
The official wording — 5 outcomes in this unit
- AN1
understanding of factors of whole numbers by determining the prime factors, greatest common factor, least common multiple
- AN2
understanding of irrational numbers by representing, identifying and simplifying irrational numbers
- AN3
understanding of powers with integral and rational exponents
- AN4
multiplication of polynomial expressions (limited to monomials, binomials and trinomials), concretely, pictorially and symbolically
- AN5
understanding of common factors and trinomial factoring, concretely, pictorially and symbolically
Unit 2Relations and FunctionsOfficial strand · Strand RF
Interpreting relationships among data, graphs and situations; relations and functions; slope; linear relations and their equations; distance and midpoint; function notation; and systems of linear equations.
Data, graphs and situations
- Interpreting graphs and dataRF1 — Interpret a graph or data set, explaining what its features mean about the relationship.
- Matching graphs to situationsRF1 — Match a situation to the graph that represents it and sketch a graph from a described situation.
Relations and functions
- Distinguishing relations and functionsRF2 — Distinguish a relation from a function using the one-output-per-input rule and the vertical-line test.
- Domain and range of a relationRF2 — Determine the domain and range of a relation or function from its graph, table, or set of pairs.
Slope
- Slope as rise over run and rate of changeRF3 — Determine the slope of a line segment or line as rise over run and interpret it as a rate of change.
- Slopes of parallel and perpendicular linesRF3 — Use the slope relationships to identify and create parallel and perpendicular lines.
Representing linear relations
- Representing linear relations many waysRF4 — Represent a linear relation using words, ordered pairs, tables of values, graphs, and equations.
Characteristics of linear graphs
- Intercepts, slope, domain and range of a lineRF5 — Determine the intercepts, slope, domain, and range of the graph of a linear relation.
Forms of linear equations
- Slope-intercept and general formRF6 — Relate the slope-intercept form y = mx + b and the general form Ax + By + C = 0 and convert between them.
- Slope-point formRF6 — Relate the slope-point form of a linear equation and use it to write and convert equations.
Determining the equation of a line
- Equation from a graphRF7 — Determine the equation of a linear relation given its graph, by reading the slope and y-intercept.
- Equation from a point and slope, or two pointsRF7 — Determine the equation of a line given a point and the slope, or given two points.
- Equation from a parallel or perpendicular lineRF7 — Determine the equation of a line through a point, parallel or perpendicular to a given line.
- Equation from a scatter plotRF7 — Determine the equation of a line of best fit for a scatter plot and use it to make predictions.
Distance and midpoint
- Distance and midpoint of a segmentRF8 — Solve problems involving the distance between two points and the midpoint of a line segment.
Function notation
- Using function notationRF9 — Represent a linear function using function notation and evaluate it for given inputs.
Systems of linear equations
- Solving systems graphicallyRF10 — Solve a system of two linear equations graphically by finding the intersection point.
- Solving systems algebraicallyRF10 — Solve a system of two linear equations algebraically by substitution or elimination, including in context.
The official wording — 10 outcomes in this unit
- RF1
Interpret and explain the relationships among data, graphs and situations
- RF2
Demonstrate an understanding of relations and functions
- RF3
understanding of slope with respect to rise and run, line segments and lines, rate of change
- RF4
Describe and represent linear relations, using words, ordered pairs, tables of values, graphs, equations
- RF5
characteristics of the graphs of linear relations, including the intercepts, slope, domain, range
- RF6
linear relations expressed in: slope–intercept form (y = mx + b), general form (Ax + By + C = 0)
- RF7
Determine the equation of a linear relation, given: a graph
- RF8
Solve problems that involve the distance between two points and the midpoint of a line segment
- RF9
Represent a linear function, using function notation
- RF10
systems of linear equations in two variables, graphically and algebraically
Printable workbook · A keepsake of the year
A Number, Relations and Functions 10 workbook worth keeping
Built from the same official curriculum as this page. Before and after each skill above, your student colours in how sure they feel — so the two of you can see, on one page, what's clicking and what needs another look. It's a quiet way to follow how the year is really going.
By June it's full of their own handwriting: units worked through, confidence grown, a mid-year check-in, notes from parent-teacher night, and a certificate at the end. Less a worksheet, more a record of the year worth keeping on the shelf.
Instant download · see every page, reviews and the full description · five or more workbooks are $2.99 each
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Common questions
Can MapleMind help me with Number, Relations and Functions 10?
Yes. MapleMind's AI tutor covers all 28 skills in New Brunswick's Number, Relations and Functions 10 — you pick the exact skill, and the tutor teaches it step by step: a short lesson, a worked example, solving together, then a skill check to show it stuck.
Is MapleMind aligned to New Brunswick's official curriculum?
Yes. Every skill in this course maps to an official outcome code from New Brunswick's Grade 10 Mathematics curriculum, and the ministry's own wording is quoted under each unit on this page — with the official government source linked so you can check it yourself.
What does MapleMind cost?
It's free to start — 5 tutoring chats and a practice quiz every day, no credit card. A Pro subscription ($9.99/month or $49.99/year CAD, 7-day free trial) unlocks unlimited tutoring, practice, and exam simulations.
What if I'm stuck on just one topic?
That's the point of skill-level tutoring: open Number, Relations and Functions 10 in the app, tap the exact skill from the list on this page, and the tutor teaches just that — no wading through lessons you don't need.
Does MapleMind work in French or other languages?
Yes — 14 languages, including French. Both the app and the tutor's explanations switch to the language you choose.
Where can I see the official New Brunswick curriculum for Number, Relations and Functions 10?
The official source is linked on this page — New Brunswick's official K-12 education resources. The outline here follows it: every MapleMind skill carries its official outcome code, and the ministry's own wording is quoted under each unit.
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