Nova Scotia
Skills available for Nova Scotia grade 10 math curriculum
Objectives are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practise that skill.
Show alignments for:
- Nova Scotia Curriculum (2012): Mathematics 10 Nova Scotia Curriculum (2012): Mathematics 10
- Nova Scotia Curriculum (2012): Mathematics 10 Plus Nova Scotia Curriculum (2012): Mathematics 10 Plus
- Nova Scotia Curriculum (2012): Mathematics Essentials 10 Nova Scotia Curriculum (2012): Mathematics Essentials 10
- Nova Scotia Curriculum (2012): Mathematics Foundations 10 Nova Scotia Curriculum (2012): Mathematics Foundations 10
- Nova Scotia Curriculum (2012): Mathematics Foundations 10 Plus Nova Scotia Curriculum (2012): Mathematics Foundations 10 Plus
- WNCP Common Curriculum Frameworks: Apprenticeship and Workplace Mathematics Grade 10 WNCP Common Curriculum Frameworks: Apprenticeship and Workplace Mathematics Grade 10
- WNCP Common Curriculum Frameworks: Foundations of Mathematics and Pre-Calculus Grade 10 WNCP Common Curriculum Frameworks: Foundations of Mathematics and Pre-Calculus Grade 10
- CAMET Foundation for the Atlantic Canada Mathematics Curriculum CAMET Foundation for the Atlantic Canada Mathematics Curriculum
Actions
10 Data Management
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10.A2 analyze graphs or charts of given situations to identify specific information
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10.C3 gather data, plot the data using appropriate scales, and demonstrate an understanding of independent and dependent variables and domain and range
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10.C4 create and analyze scatter plots using appropriate technology
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10.C5 sketch graphs from words, tables, and collected data
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10.C9 construct and analyze graphs and tables relating two variables
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10.C10 describe real-world relationships depicted by graphs, tables of values, and written descriptions
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10.C15 develop and apply strategies for solving problems
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10.C17 solve problems, using graphing technology
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10.C32 determine if a graph is linear by plotting points in a given situation
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10.D1 determine and apply formulas for perimeter, area, surface area, and volume
- Perimeter (10-Y.3)
- Area of triangles and quadrilaterals (10-Y.4)
- Area and perimeter in the coordinate plane I (10-Y.5)
- Area and perimeter in the coordinate plane II (10-Y.6)
- Area and circumference of circles (10-Y.7)
- Area of compound figures (10-Y.8)
- Area between two shapes (10-Y.9)
- Area and perimeter of similar figures (10-Y.10)
- Introduction to surface area and volume (10-Z.4)
- Surface area of prisms and cylinders (10-Z.5)
- Surface area of pyramids and cones (10-Z.6)
- Volume of prisms and cylinders (10-Z.7)
- Volume of pyramids and cones (10-Z.8)
- Surface area and volume of spheres (10-Z.9)
- Surface area and volume of similar solids (10-Z.11)
- Surface area and volume review (10-Z.12)
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10.D7 (optional) determine the accuracy and precision of a measurement
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10.D9 determine whether differences in repeated measurements are significant or accidental
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10.F1 design and conduct experiments using statistical methods and scientific inquiry
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10.F2 (optional) demonstrate an understanding of concerns and issues that pertain to the collection of data
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10.F3 construct various displays of data
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10.F4 calculate various statistics, using appropriate technology, analyze and interpret displays, and describe the relationships
- Interpret bar graphs, line graphs and histograms (10-I.1)
- Interpret circle graphs (10-I.3)
- Interpret stem-and-leaf plots (10-I.4)
- Interpret box-and-whisker plots (10-I.5)
- Interpret a scatter plot (10-I.6)
- Scatter plots: line of best fit (10-I.7)
- Mean, median, mode and range (10-HH.1)
- Quartiles (10-HH.2)
- Mean absolute deviation (10-HH.4)
- Variance and standard deviation (10-HH.5)
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10.F5 analyze statistical summaries, draw conclusions, and communicate results about distributions of data
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10.F6 solve problems by modeling real-world phenomena
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10.F7 explore non-linear data, using power and exponential regression, to find a curve of best fit
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10.F8 determine and apply a line of best fit, using the least-squares method and median-median method, with and without technology, and describe the differences between the two methods
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10.F9 demonstrate an intuitive understanding of correlation
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10.F10 use interpolation, extrapolation, and equations to predict and solve problems
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10.F12 explore measurement issues using the normal curve
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10.F13 calculate and apply mean and standard deviation, using technology, to determine if a variation makes a difference
10 Networks and Matrices (optional)
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10.B5 (optional) develop, analyze, and apply procedures for matrix multiplication
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10.B6 (optional) solve network problems using matrices
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10.C15 develop and apply strategies for solving problems
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10.C17 solve problems, using graphing technology
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10.C37 (optional) represent network problems using matrices and vice versa
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10.C7 (optional) model real-world situations with networks and matrices
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10.E6 (optional) represent network problems as digraphs
10 Patterns, Relations, and Equations
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10.A2 analyze graphs or charts of given situations to identify specific information
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10.A5 demonstrate an understanding of the zero product property and its relationship to solving equations by factoring
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10.A6 apply properties of numbers when operating upon expressions and equations
- Evaluate expressions using properties of exponents (10-B.8)
- Identify equivalent expressions involving exponents (10-B.9)
- Add and subtract radical expressions (10-D.4)
- Simplify radical expressions using the distributive property (10-D.5)
- Simplify radical expressions: mixed review (10-D.6)
- Model and solve equations using algebra tiles (10-G.1)
- Write and solve equations that represent diagrams (10-G.2)
- Solve one-step linear equations (10-G.3)
- Solve two-step linear equations (10-G.4)
- Solve advanced linear equations (10-G.5)
- Solve equations with variables on both sides (10-G.6)
- Solve equations: complete the solution (10-G.7)
- Solve linear equations: word problems (10-G.10)
- Solve linear equations: mixed review (10-G.11)
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10.A7 demonstrate an understanding of and apply the proper use of discrete and continuous number systems
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10.B1 model (with concrete materials and pictorial representations) and express the relationships between arithmetic operations and operations on algebraic expressions and equations
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10.B3 use concrete materials, pictorial representations, and algebraic symbolism to perform operations on polynomials
- Add and subtract polynomials using algebra tiles (10-O.3)
- Add and subtract polynomials (10-O.4)
- Add polynomials to find perimeter (10-O.5)
- Multiply a polynomial by a monomial (10-O.6)
- Multiply two polynomials using algebra tiles (10-O.7)
- Multiply two binomials (10-O.8)
- Multiply two binomials: special cases (10-O.9)
- Multiply polynomials (10-O.10)
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10.C1 express problems in terms of equations and vice versa
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10.C2 model real-world phenomena with linear, quadratic, exponential, and power equations and linear inequalities
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10.C3 gather data, plot the data using appropriate scales, and demonstrate an understanding of independent and dependent variables and of domain and range
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10.C5 sketch graphs from words, tables, and collected data
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10.C8 identify, generalize, and apply patterns
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10.C9 construct and analyze graphs and tables relating two variables
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10.C10 describe real-world relationships depicted by graphs, tables of values, and written descriptions
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10.C13 determine and interpret the slope and y-intercept of a line from a table of values or a graph
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10.C14 determine the equation of a line, using the slope and y-intercept
- Slope-intercept form: write an equation from a graph (10-L.7)
- Slope-intercept form: write an equation (10-L.8)
- Slope-intercept form: write an equation from a table (10-L.9)
- Slope-intercept form: write an equation from a word problem (10-L.10)
- Point-slope form: write an equation (10-L.20)
- Point-slope form: write an equation from a graph (10-L.21)
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10.C16 interpret solutions to equations based on context
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10.C17 solve problems, using graphing technology
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10.C18 investigate and find the solution to a problem by graphing two linear equations, with and without technology
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10.C20 evaluate and interpret non-linear equations using graphing technology
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10.C24 rearrange equations
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10.C25 solve equations using graphs
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10.C26 solve quadratic equations by factoring
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10.C27 solve linear and simple radical and exponential equations and linear inequalities
- Model and solve equations using algebra tiles (10-G.1)
- Write and solve equations that represent diagrams (10-G.2)
- Solve one-step linear equations (10-G.3)
- Solve two-step linear equations (10-G.4)
- Solve advanced linear equations (10-G.5)
- Solve equations with variables on both sides (10-G.6)
- Solve equations: complete the solution (10-G.7)
- Find the number of solutions (10-G.8)
- Solve linear equations: word problems (10-G.10)
- Solve linear equations: mixed review (10-G.11)
- Identify solutions to inequalities (10-H.3)
- Solve one-step linear inequalities: addition and subtraction (10-H.4)
- Solve one-step linear inequalities: multiplication and division (10-H.5)
- Solve one-step linear inequalities (10-H.6)
- Solve two-step linear inequalities (10-H.8)
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10.C29 investigate and make and test conjectures concerning the steepness and direction of a line
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10.C31 graph equations and inequalities and analyze graphs, both with and without graphing technology
- Graph inequalities (10-H.1)
- Graph solutions to one-step linear inequalities (10-H.7)
- Graph solutions to two-step linear inequalities (10-H.9)
- Graph solutions to advanced linear inequalities (10-H.11)
- Graph compound inequalities (10-H.12)
- Graph solutions to compound inequalities (10-H.15)
- Graph a proportional relationship (10-K.3)
- Slope-intercept form: graph an equation (10-L.6)
- Complete a table and graph a linear function (10-L.12)
- Standard form: graph an equation (10-L.16)
- Graph a horizontal or vertical line (10-L.18)
- Point-slope form: graph an equation (10-L.19)
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10.C32 determine if a graph is linear by plotting points in a given situation
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10.C33 graph by constructing a table of values, by using graphing technology, and, when appropriate, by the y-intercept slope method
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10.C35 expand and factor polynomial expressions using perimeter and area models
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10.E8 use inductive and deductive reasoning when observing patterns, developing properties, and making conjectures
- Congruence statements and corresponding parts (10-AA.2)
- Identify congruent figures (10-AA.4)
- SSS and SAS Theorems (10-AA.5)
- ASA and AAS Theorems (10-AA.6)
- SSS, SAS, ASA and AAS Theorems (10-AA.7)
- SSS Theorem in the coordinate plane (10-AA.8)
- Hypotenuse-Leg Theorem (10-AA.10)
- Converse of the Pythagorean theorem (10-DD.2)
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10.F6 solve problems by modeling real-world phenomena
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10.F10 use interpolation, extrapolation, and equations to predict and solve problems
10 Modeling and Functions
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10.A2 analyze graphs or charts of situations to identify specific information
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10.A7 demonstrate an understanding of and apply the proper use of discrete and continuous number systems
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10.C1 express problems in terms of equations and vice versa
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10.C2 model real-world phenomena with linear, quadratic, exponential, and power equations and linear inequalities
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10.C3 gather data, plot the data using appropriate scales, and demonstrate an understanding of independent and dependent variables and of domain and range
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10.C5 sketch graphs from words, tables, and collected data
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10.C8 identify, generalize, and apply patterns
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10.C9 construct and analyze graphs and tables relating two variables
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10.C10 describe real-world relationships depicted by graphs, tables of values, and written descriptions
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10.C14 determine the equation of a line using the slope and y-intercept
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10.C17 solve problems using graphing technology
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10.C20 evaluate and interpret non-linear equations using graphing technology
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10.C21 explore and apply functional relationships both formally and informally
- Identify functions (10-J.4)
- Identify functions: vertical line test (10-J.5)
- Find values using function graphs (10-J.6)
- Evaluate a function (10-J.7)
- Evaluate a function: plug in an expression (10-J.8)
- Complete a function table from a graph (10-J.9)
- Complete a function table from an equation (10-J.10)
- Interpret the graph of a function: word problems (10-J.11)
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10.C22 analyze and describe transformations of quadratic functions and apply them to absolute value functions
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10.C23 express transformations algebraically and with mapping rules
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10.C24 rearrange equations
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10.C27 solve linear and simple radical and exponential equations and linear inequalities
- Model and solve equations using algebra tiles (10-G.1)
- Write and solve equations that represent diagrams (10-G.2)
- Solve one-step linear equations (10-G.3)
- Solve two-step linear equations (10-G.4)
- Solve advanced linear equations (10-G.5)
- Solve equations with variables on both sides (10-G.6)
- Solve equations: complete the solution (10-G.7)
- Find the number of solutions (10-G.8)
- Solve linear equations: word problems (10-G.10)
- Solve linear equations: mixed review (10-G.11)
- Identify solutions to inequalities (10-H.3)
- Solve one-step linear inequalities: addition and subtraction (10-H.4)
- Solve one-step linear inequalities: multiplication and division (10-H.5)
- Solve one-step linear inequalities (10-H.6)
- Solve two-step linear inequalities (10-H.8)
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10.C28 explore and describe the dynamics of change depicted in tables and graphs
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10.C30 compare regression models of linear and non-linear functions
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10.C31 graph equations and inequalities and analyze graphs, both with and without graphing technology
- Graph inequalities (10-H.1)
- Graph solutions to one-step linear inequalities (10-H.7)
- Graph solutions to two-step linear inequalities (10-H.9)
- Graph solutions to advanced linear inequalities (10-H.11)
- Graph compound inequalities (10-H.12)
- Graph solutions to compound inequalities (10-H.15)
- Graph a proportional relationship (10-K.3)
- Slope-intercept form: graph an equation (10-L.6)
- Complete a table and graph a linear function (10-L.12)
- Standard form: graph an equation (10-L.16)
- Graph a horizontal or vertical line (10-L.18)
- Point-slope form: graph an equation (10-L.19)
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10.C33 graph by constructing a table of values, by using graphing technology, and, when appropriate, by the y-intercept slope method
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10.E5 use transformations to draw graphs
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10.F6 solve problems by modeling real-world phenomena
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10.F7 explore non-linear data, using power and exponential regression, to find a curve of best fit
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10.F8 determine and apply a line of best fit, using the least-squares method and median-median method, with and without technology, and describe the differences between the two methods
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10.F9 demonstrate an intuitive understanding of correlation
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10.F10 use interpolation, extrapolation, and equations to predict and solve problems
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10.F11 describe real-world relationships depicted by graphs and tables of values and written descriptions
10 Geometry/Trigonometry
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10.A3 demonstrate an understanding of the role of irrational numbers in applications
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10.A4 approximate square roots
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10.A8 demonstrate an understanding of and apply properties to operations involving square roots
- Square roots (10-A.6)
- Simplify radical expressions (10-D.1)
- Simplify radical expressions by rationalizing the denominator (10-D.2)
- Multiply radical expressions (10-D.3)
- Add and subtract radical expressions (10-D.4)
- Simplify radical expressions using the distributive property (10-D.5)
- Simplify radical expressions: mixed review (10-D.6)
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10.B2 develop algorithms and perform operations on irrational numbers
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10.C27 solve linear and simple radical and exponential equations and linear inequalities
- Model and solve equations using algebra tiles (10-G.1)
- Write and solve equations that represent diagrams (10-G.2)
- Solve one-step linear equations (10-G.3)
- Solve two-step linear equations (10-G.4)
- Solve advanced linear equations (10-G.5)
- Solve equations with variables on both sides (10-G.6)
- Solve equations: complete the solution (10-G.7)
- Find the number of solutions (10-G.8)
- Solve linear equations: word problems (10-G.10)
- Solve linear equations: mixed review (10-G.11)
- Identify solutions to inequalities (10-H.3)
- Solve one-step linear inequalities: addition and subtraction (10-H.4)
- Solve one-step linear inequalities: multiplication and division (10-H.5)
- Solve one-step linear inequalities (10-H.6)
- Solve two-step linear inequalities (10-H.8)
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10.D2 apply the properties of similar triangles
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10.D3 relate the trigonometric functions to the ratios in similar right triangles
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10.D4 use calculators to find trigonometric values of angles and to find angles when trigonometric values are known
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10.D5 apply trigonometric functions to solve problems involving right triangles, including the use of angles of elevation
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10.D7 determine the accuracy and precision of a measurement
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10.D8 solve problems involving similar triangles and right triangles
- Similarity ratios (10-CC.2)
- Similarity statements (10-CC.3)
- Side lengths and angle measures in similar figures (10-CC.4)
- Similar triangles and indirect measurement (10-CC.5)
- Perimeters of similar figures (10-CC.6)
- Similarity rules for triangles (10-CC.7)
- Similar triangles and similarity transformations (10-CC.8)
- Triangle Proportionality Theorem (10-CC.10)
- Areas of similar figures (10-CC.11)
- Pythagorean Theorem (10-DD.1)
- Special right triangles (10-DD.4)
- Trigonometric ratios: sin, cos and tan (10-EE.1)
- Trigonometric ratios: find a side length (10-EE.6)
- Trigonometric ratios: find an angle measure (10-EE.7)
- Solve a right triangle (10-EE.8)
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10.D10 determine and apply relationships between the perimeters and areas of similar figures and between the surface areas and volumes of similar solids
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10.D12 solve problems using the trigonometric ratios
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10.D14 apply the Pythagorean Theorem
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10.E7 demonstrate an understanding of and write a proof for the Pythagorean Theorem
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10.E8 use inductive and deductive reasoning when observing patterns, developing properties, and making conjectures
- Congruence statements and corresponding parts (10-AA.2)
- Identify congruent figures (10-AA.4)
- SSS and SAS Theorems (10-AA.5)
- ASA and AAS Theorems (10-AA.6)
- SSS, SAS, ASA and AAS Theorems (10-AA.7)
- SSS Theorem in the coordinate plane (10-AA.8)
- Hypotenuse-Leg Theorem (10-AA.10)
- Converse of the Pythagorean theorem (10-DD.2)
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10.E9 use deductive reasoning, construct logical arguments, and be able to determine, when given a logical argument, if it is valid
10 Geometry/Packaging
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10.A3 demonstrate an understanding of the role of irrational numbers in applications
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10.C36 explore, determine, and apply relationships between perimeter and area, and between surface area and volume
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10.D1 determine and apply formulas for perimeter, area, surface area, and volume
- Perimeter (10-Y.3)
- Area of triangles and quadrilaterals (10-Y.4)
- Area and perimeter in the coordinate plane I (10-Y.5)
- Area and perimeter in the coordinate plane II (10-Y.6)
- Area and circumference of circles (10-Y.7)
- Area of compound figures (10-Y.8)
- Area between two shapes (10-Y.9)
- Area and perimeter of similar figures (10-Y.10)
- Introduction to surface area and volume (10-Z.4)
- Surface area of prisms and cylinders (10-Z.5)
- Surface area of pyramids and cones (10-Z.6)
- Volume of prisms and cylinders (10-Z.7)
- Volume of pyramids and cones (10-Z.8)
- Surface area and volume of spheres (10-Z.9)
- Surface area and volume of similar solids (10-Z.11)
- Surface area and volume review (10-Z.12)
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10.D2 apply the properties of similar triangles
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10.D5 apply trigonometric functions to solve problems involving right triangles, including the use of angles of elevation
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10.D7 (optional) determine the accuracy and precision of a measurement
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10.D10 determine and apply relationships between the perimeters and areas of similar figures and between the surface areas and volumes of similar solids
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10.D11 explore, discover, and apply properties of maximum area and volume
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10.D12 solve problems using the trigonometric ratios
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10.D13 demonstrate an understanding of the concepts of surface area and volume
- Introduction to surface area and volume (10-Z.4)
- Surface area of prisms and cylinders (10-Z.5)
- Surface area of pyramids and cones (10-Z.6)
- Volume of prisms and cylinders (10-Z.7)
- Volume of pyramids and cones (10-Z.8)
- Surface area and volume of spheres (10-Z.9)
- Surface area and volume of similar solids (10-Z.11)
- Surface area and volume review (10-Z.12)
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10.E1 explore properties of, and make and test conjectures about, two- and three-dimensional figures
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10.E2 solve problems involving polygons and polyhedra
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10.E3 construct and apply altitudes, medians, angle bisectors, and perpendicular bisectors to examine their intersection points
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10.E4 apply transformations when solving problems
- Rotate polygons about a point (10-FF.6)
- Classify congruence transformations (10-FF.9)
- Compositions of congruence transformations: graph the image (10-FF.10)
- Transformations that carry a polygon onto itself (10-FF.11)
- Congruence transformations: mixed review (10-FF.12)
- Dilations: scale factor and classification (10-FF.15)
- Dilations and parallel lines (10-FF.16)
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10.E8 use inductive and deductive reasoning when observing patterns, developing properties, and making conjectures
- Congruence statements and corresponding parts (10-AA.2)
- Identify congruent figures (10-AA.4)
- SSS and SAS Theorems (10-AA.5)
- ASA and AAS Theorems (10-AA.6)
- SSS, SAS, ASA and AAS Theorems (10-AA.7)
- SSS Theorem in the coordinate plane (10-AA.8)
- Hypotenuse-Leg Theorem (10-AA.10)
- Converse of the Pythagorean theorem (10-DD.2)
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10.E9 use deductive reasoning construct logical arguments and be able to determine, when given a logical argument, if it is valid
10 Linear Programming
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10.A1 relate sets of numbers to solutions of inequalities
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10.A2 analyze graphs or charts of given situations to identify specific information
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10.A7 demonstrate an understanding of and apply the proper use of discrete and continuous number systems
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10.B4 identify and calculate the maximum and/or minimum values in a linear programming model
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10.C2 model real-world phenomena with linear, quadratic, exponential, and power equations and linear inequalities
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10.C6 apply linear programming to find optimal solutions to real-world problems
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10.C9 construct and analyze graphs and tables relating two variables
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10.C11 write an inequality to describe its graph
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10.C12 express and interpret constraints, using inequalities
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10.C16 interpret solutions to equations, based on context
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10.C17 solve problems using graphing technology
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10.C19 solve systems of linear equations using substitution and graphing methods
- Solve a system of equations by graphing (10-M.2)
- Solve a system of equations by graphing: word problems (10-M.3)
- Find the number of solutions to a system of equations by graphing (10-M.4)
- Solve a system of equations using substitution (10-M.8)
- Solve a system of equations using substitution: word problems (10-M.9)
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10.C24 rearrange equations
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10.C27 solve linear and simple radical and exponential equations and linear inequalities
- Model and solve equations using algebra tiles (10-G.1)
- Write and solve equations that represent diagrams (10-G.2)
- Solve one-step linear equations (10-G.3)
- Solve two-step linear equations (10-G.4)
- Solve advanced linear equations (10-G.5)
- Solve equations with variables on both sides (10-G.6)
- Solve equations: complete the solution (10-G.7)
- Find the number of solutions (10-G.8)
- Solve linear equations: word problems (10-G.10)
- Solve linear equations: mixed review (10-G.11)
- Identify solutions to inequalities (10-H.3)
- Solve one-step linear inequalities: addition and subtraction (10-H.4)
- Solve one-step linear inequalities: multiplication and division (10-H.5)
- Solve one-step linear inequalities (10-H.6)
- Solve two-step linear inequalities (10-H.8)
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10.C31 graph equations and inequalities and analyze graphs, both with and without graphing technology
- Graph inequalities (10-H.1)
- Graph solutions to one-step linear inequalities (10-H.7)
- Graph solutions to two-step linear inequalities (10-H.9)
- Graph solutions to advanced linear inequalities (10-H.11)
- Graph compound inequalities (10-H.12)
- Graph solutions to compound inequalities (10-H.15)
- Graph a proportional relationship (10-K.3)
- Slope-intercept form: graph an equation (10-L.6)
- Complete a table and graph a linear function (10-L.12)
- Standard form: graph an equation (10-L.16)
- Graph a horizontal or vertical line (10-L.18)
- Point-slope form: graph an equation (10-L.19)
- Graph a linear inequality in the coordinate plane (11-C.2)
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10.C33 graph by constructing a table of values, by using graphing technology, and, when appropriate, by the y-intercept slope method
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10.C34 investigate and make and test conjectures about the solution to equations and inequalities using graphing technology