Grade 10

Manitoba Grade 10 Math Curriculum

Video lessons and practice for every Grade 10 math topic. Aligned to what Manitoba schools teach. Get help with quadratic equations, trigonometry, and polynomial functions anytime.

Grade 10

Grade 10 Essential Mathematics (20S) - Half Course 1

Grade 10 Essential Mathematics (20S) - Half Course 2

Manitoba Grade 10 Math Curriculum | StudyPugHelp

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GO_ID	Outcome	StudyPug Topic
MB.GO.10I.M.1	Solve problems involving linear measurement using SI and imperial units, estimation, and measurement strategies:	Conversions between metric and imperial systems Metric systems Imperial systems Conversions involving squares and cubic Upper and lower bound

MB.GO.10I.M.3

Solve problems using SI and imperial units for surface area and volume of 3-D objects including cones, cylinders, prisms, pyramids, and spheres:

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

MB.GO.10I.M.4

Develop and apply primary trigonometric ratios to solve problems involving right triangles:

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

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

Combination of SohCahToa questions

Word problems relating ladder in trigonometry

Word problems relating guy wire in trigonometry

Other word problems relating angles in trigonometry

Solving expressions using 45-45-90 special right triangles

Solving expressions using 30-60-90 special right triangles

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

MB.GO.10I.A.1

Determine prime factors, greatest common factor, least common multiple, square root, and cube root of whole numbers:

Understanding the number systems

Prime factorization

Greatest common factors (GCF)

Least common multiple (LCM)

Square and square roots

Cubic and cube roots

MB.GO.10I.A.2

Represent, identify, simplify, and order irrational numbers:

Rational vs. Irrational numbers

Converting repeating decimals to fractions

Converting radicals to mixed radicals

Converting radicals to entire radicals

Evaluating and simplifying radicals

MB.GO.10I.A.3

Demonstrate understanding of powers with integral 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

Solving for exponents

Product rule of exponents

MB.GO.10I.A.4

Multiply polynomial expressions concretely, pictorially, and symbolically:

What is a polynomial?

Polynomial components

Multiplying monomial by monomial

Multiplying monomial by binomial

Multiplying binomial by binomial

Multiplying polynomial by polynomial

Applications of polynomials

MB.GO.10I.A.5

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

Common factors of polynomials

Factoring polynomials by grouping

Solving polynomials with unknown coefficients

Solving polynomials with unknown constant terms

Factoring polynomials: x^2 + bx + c

Applications of polynomials: x^2 + bx + c

Solving polynomials with the unknown "b" from ax^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)

Factor by taking out the greatest common factor

Factor by grouping

Factoring difference of squares:

x^2 - y^2

Factoring trinomials

MB.GO.10I.R.1

Interpret and explain relationships among data, graphs and contexts:

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

Identifying functions

Function notation

MB.GO.10I.R.2

Demonstrate understanding of relations and functions:

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)

Slope equation:

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

Slope intercept form: y = mx + b

General form: Ax + By + C = 0

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

MB.GO.10I.R.3

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

Parallel and perpendicular lines in linear functions

Applications of linear relations

MB.GO.10I.R.4

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

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

Graphing from slope-intercept form y=mx+b

Graphing linear functions using a single point and slope

Word problems of graphing linear functions

MB.GO.10I.R.5

Determine characteristics of linear relation graphs including intercepts, slope, domain, and range:

Introduction to linear equations

Introduction to nonlinear equations

Special case of linear equations: Horizontal lines

Special case of linear equations: Vertical lines

MB.GO.10I.R.6

Relate linear relations in slope-intercept, general, and slope-point forms to their graphs:

Parallel line equation

Perpendicular line equation

Combination of both parallel and perpendicular line equations

MB.GO.10I.R.7

Determine equation of a linear relation given various inputs such as graph, point and slope, two points:

Applications of linear equations

MB.GO.10I.R.9

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

Money related questions in linear equations

Unknown number related questions in linear equations

Distance and time related questions in linear equations

Rectangular shape related questions in linear equations

Determining number of solutions to linear equations

Solving systems of linear equations by graphing

Solving systems of linear equations by elimination

Solving systems of linear equations by substitution