New Brunswick · Grade 10
Number, Relations and Functions 10
New Brunswick’s Grade 10 math course, from Algebra and Number to Relations and Functions.
- Units
- 2
- Lessons
- 15
- Skills
- 28
- Provincial exam
- None
- Official curriculum
- New Brunswick Department of Education and Early Childhood Development
Unit by unit
Every skill in the course, with its official code.
Unit 1 · 10 skills
Algebra and Number
Factors, multiples and roots
Prime factors, GCF and LCM
I can find prime factors and use them for GCF and LCM.
Official code: AN1
Square roots and cube roots
I can find square roots and cube roots of whole numbers.
Official code: AN1
Irrational numbers
Identifying and simplifying irrational numbers
I can identify irrational numbers and simplify radicals.
Official code: AN2
Ordering irrational numbers
I can order irrational numbers on a number line.
Official code: AN2
Powers with integral and rational exponents
Powers with integral exponents
I can apply the exponent laws with integer exponents.
Official code: AN3
Powers with rational exponents
I can work with rational exponents and connect them to roots.
Official code: AN3
Multiplying polynomials
Multiplying a monomial by a polynomial
I can multiply a monomial by a polynomial.
Official code: AN4
Multiplying binomials and trinomials
I can multiply binomials and trinomials.
Official code: AN4
Factoring polynomials
Factoring out common factors
I can factor out the greatest common factor of a polynomial.
Official code: AN5
Factoring trinomials
I can factor a trinomial into two binomials.
Official code: AN5
The official wording · 10 outcomes
- AN1
- understanding of factors of whole numbers by determining the prime factors, greatest common factor, least common multiple
- AN1
- factors of whole numbers by determining the prime factors, greatest common factor, least common multiple, square root, cube root
- AN2
- understanding of irrational numbers by representing, identifying and simplifying irrational numbers
- AN2
- irrational numbers by representing, identifying and simplifying irrational numbers, ordering irrational numbers
- AN3
- understanding of powers with integral and rational exponents
- AN3
- powers with integral and rational exponents
- AN4
- multiplication of polynomial expressions (limited to monomials, binomials and trinomials), concretely, pictorially and symbolically
- AN4
- multiplication of polynomial expressions (limited to monomials, binomials and trinomials)
- AN5
- understanding of common factors and trinomial factoring, concretely, pictorially and symbolically
- AN5
- common factors and trinomial factoring, concretely, pictorially and symbolically
Key ideas
Every whole number factors uniquely into primes.
An irrational number cannot be written as a fraction; its decimal never repeats or ends.
Product, quotient, and power laws combine exponents.
Distribute the monomial to every term of the polynomial.
The GCF is the largest factor shared by every term.
Watch out for
- Confusing GCF (shared, lowest powers) with LCM (all, highest powers).
- Calling every square root irrational (√9 is rational).
- Treating a negative exponent as a negative number.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 18 skills
Relations and Functions
Data, graphs and situations
Interpreting graphs and data
I can read a graph and explain what it shows.
Official code: RF1
Matching graphs to situations
I can match a situation to its graph and sketch a graph from a story.
Official code: RF1
Relations and functions
Distinguishing relations and functions
I can decide whether a relation is a function.
Official code: RF2
Domain and range of a relation
I can state the domain and range of a relation.
Official code: RF2
Slope
Slope as rise over run and rate of change
I can find slope as rise over run and read it as a rate of change.
Official code: RF3
Slopes of parallel and perpendicular lines
I can use slope to tell if lines are parallel or perpendicular.
Official code: RF3
Representing linear relations
Representing linear relations many ways
I can represent a linear relation in words, tables, graphs, and equations.
Official code: RF4
Characteristics of linear graphs
Intercepts, slope, domain and range of a line
I can find the intercepts, slope, domain, and range of a line.
Official code: RF5
Forms of linear equations
Slope-intercept and general form
I can convert between slope-intercept and general form.
Official code: RF6
Slope-point form
I can use slope-point form to write a line's equation.
Official code: RF6
Determining the equation of a line
Equation from a graph
I can find a line's equation from its graph.
Official code: RF7
Equation from a point and slope, or two points
I can find a line's equation from a point and slope, or from two points.
Official code: RF7
Equation from a parallel or perpendicular line
I can find a line's equation parallel or perpendicular to a given line.
Official code: RF7
Equation from a scatter plot
I can fit a line to a scatter plot and use its equation.
Official code: RF7
Distance and midpoint
Distance and midpoint of a segment
I can find the distance between points and the midpoint of a segment.
Official code: RF8
Function notation
Using function notation
I can write and evaluate a linear function in function notation.
Official code: RF9
Systems of linear equations
Solving systems graphically
I can solve a system of linear equations by graphing.
Official code: RF10
Solving systems algebraically
I can solve a system of linear equations by substitution or elimination.
Official code: RF10
The official wording · 18 outcomes
- RF1
- Interpret and explain the relationships among data, graphs and situations
- RF1
- the relationships among data, graphs and situations
- RF2
- Demonstrate an understanding of relations and functions
- RF2
- an understanding of relations and functions
- RF3
- understanding of slope with respect to rise and run, line segments and lines, rate of change
- RF3
- slope with respect to rise and run, line segments and lines, rate of change, parallel lines, perpendicular lines
- 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)
- RF6
- linear relations expressed in: slope–intercept form (y = mx + b), general form (Ax + By + C = 0), slope–point form (y – y1 = m(x – x1))
- RF7
- Determine the equation of a linear relation, given: a graph
- RF7
- the equation of a linear relation, given: a graph, a point and the slope, two points
- RF7
- given: a graph, a point and the slope, two points, a point and the equation of a parallel or perpendicular line
- RF7
- given: a graph, a point and the slope, two points, a point and the equation of a parallel or perpendicular line, a scatter plot
- 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
- RF10
- problems that involve systems of linear equations in two variables, graphically and algebraically
Key ideas
A graph's shape shows how one quantity changes with another.
A function gives exactly one output for each input.
Slope = rise / run = (change in y) / (change in x).
Each representation shows the same relationship differently.
The x-intercept is where y = 0; the y-intercept is where x = 0.
Watch out for
- Reading a distance-time graph as a picture of the path.
- Thinking a repeated output value breaks the function rule (only repeated inputs do).
- Computing run over rise instead of rise over run.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Plan the term
Pick your term and the days you study. Each unit gets its share of the weeks and comes back a week later for a review. The last two weeks go over the whole course.
Which course?
New Brunswick has 2 math courses for Grade 10. Here they are side by side.
- Geometry, Measurement and Finance 104 units · 31 skillsNo provincial examWhat it coversAlgebra · Number · Geometry · Measurement
- Number, Relations and Functions 10This course2 units · 28 skillsNo provincial examWhat it coversAlgebra and Number · Relations and Functions
What a university, college or program asks for is theirs to say: check its admission page, and your school’s course guide.
The official curriculum
This page follows New Brunswick’s own curriculum for Number, Relations and Functions 10.
Study it in MapleMind
MapleMind teaches Number, Relations and Functions 10 one skill at a time. Each skill gets a short lesson, practice as you go and a check worth up to three stars. It remembers where you stopped.
Course Companion
Your year in one workbook
A fun way to keep Number, Relations and Functions 10 organized, get to know your child better and see early when they need a hand. Fill it in on a screen, or print it.
- Pages
- 23
- Fillable fields
- 1,299
- Price
- $4.99
Questions about Number, Relations and Functions 10
What is Number, Relations and Functions 10?
New Brunswick’s Grade 10 math course: 2 units and 28 skills, from Algebra and Number to Relations and Functions.
What units are in Number, Relations and Functions 10?
1. Algebra and Number and 2. Relations and Functions.
Is there a provincial exam for Number, Relations and Functions 10?
No. New Brunswick gives no provincial exam for Number, Relations and Functions 10.
What comes after Number, Relations and Functions 10?
Financial and Workplace Mathematics 110, Foundations of Mathematics 110 and Pre-Calculus 110.
Can MapleMind help with Number, Relations and Functions 10?
Yes. MapleMind teaches every skill of Number, Relations and Functions 10, step by step, with practice and checks, and its tutor answers questions about any of them. It’s free with daily limits, on iPhone, Android and the web.
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