Grade Nine Math

## Numbers

1. A.1Classify numbers
2. A.2Compare rational numbers
3. A.3Put rational numbers in order
4. A.4Number lines
5. A.5Convert between decimals and fractions
6. A.6Square roots of perfect squares
7. A.7Square roots of fractions and decimals
8. A.8Estimate square roots

## Operations

1. B.1Add, subtract, multiply and divide integers
2. B.2Evaluate numerical expressions involving integers
3. B.3Evaluate variable expressions involving integers
4. B.4Add and subtract rational numbers
5. B.5Add and subtract rational numbers: word problems
6. B.6Multiply and divide rational numbers
7. B.7Multiply and divide rational numbers: word problems
8. B.8Evaluate numerical expressions involving rational numbers
9. B.9Evaluate variable expressions involving rational numbers

## Ratios, rates and proportions

1. C.1Identify equivalent ratios
2. C.2Write an equivalent ratio
3. C.3Unit rates
4. C.4Unit prices
5. C.5Solve proportions
6. C.6Solve proportions: word problems
7. C.7Scale drawings: word problems

## Percents

1. D.1Convert between percents, fractions and decimals
2. D.2Solve percent equations
3. D.3Percent word problems
4. D.4Percent of change
5. D.5Percent of change: word problems

## Geometry

1. E.1Perimeter
2. E.2Area
3. E.3Area of compound figures
4. E.4Area between two shapes
5. E.5Symmetry
6. E.6Count lines of symmetry
7. E.7Draw lines of symmetry
8. E.8Interior angles of polygons
9. E.9Transversal of parallel lines
10. E.10Volume of prisms and pyramids
11. E.11Volume of cones and cylinders
12. E.12Volume of spheres
13. E.13Nets of three-dimensional figures
14. E.14Surface area of prisms and pyramids
15. E.15Surface area of cones and cylinders
16. E.16Surface area of spheres
17. E.17Similar figures: side lengths and angle measures
18. E.18Similar triangles and indirect measurement
19. E.19Area and perimeter of similar figures
20. E.20Similar solids
21. E.21Volume and surface area of similar solids
22. E.22Perimeter, area and volume: changes in scale
23. E.23Identify reflections, rotations and translations
24. E.24Reflections, rotations and translations: find the coordinates
25. E.25Reflections, rotations and translations: graph the image
26. E.26Dilations and scale factors
27. E.27Pythagorean theorem
28. E.28Pythagorean theorem: word problems
29. E.29Converse of the Pythagorean theorem: is it a right triangle?

## Circles

1. F.1Parts of a circle
2. F.2Circles: calculate area, circumference, radius and diameter
3. F.3Circles: word problems
4. F.4Central angles
5. F.5Arc measure and arc length
6. F.6Area of sectors
7. F.7Circle measurements: mixed review
8. F.8Arcs and chords
9. F.9Tangent lines
10. F.10Perimeter of polygons with an inscribed circle
11. F.11Inscribed angles
12. F.12Angles in inscribed right triangles
13. F.13Angles in inscribed quadrilaterals I
14. F.14Angles in inscribed quadrilaterals II

## Coordinate plane

1. G.1Coordinate plane review
2. G.2Quadrants and axes
3. G.3Distance between two points

## Properties

1. H.1Properties of addition and multiplication
2. H.2Distributive property
3. H.3Simplify variable expressions using properties
4. H.4Properties of equality

## Exponents

1. I.1Exponents with integer bases
2. I.2Exponents with decimal and fractional bases
3. I.3Negative exponents
4. I.4Multiplication with exponents
5. I.5Division with exponents
6. I.6Multiplication and division with exponents
7. I.7Power rule
8. I.8Evaluate expressions using properties of exponents
9. I.9Identify equivalent expressions involving exponents

## Scientific notation

1. J.1Convert between standard and scientific notation
2. J.2Compare numbers written in scientific notation
3. J.3Multiply numbers written in scientific notation
4. J.4Divide numbers written in scientific notation

## Problem solving

1. K.1Word problems: mixed review
2. K.2Word problems with money
3. K.3Consecutive integer problems
4. K.4Rate of travel: word problems
5. K.5Weighted averages: word problems

## Number sequences

1. L.1Identify arithmetic and geometric sequences
2. L.2Arithmetic sequences
3. L.3Geometric sequences
4. L.4Evaluate variable expressions for number sequences
5. L.5Write variable expressions for arithmetic sequences
6. L.6Write variable expressions for geometric sequences
7. L.7Number sequences: mixed review

## Variable expressions and equations

1. M.1Write variable expressions
2. M.2Simplify variable expressions involving like terms and the distributive property
3. M.3Identify equivalent linear expressions
4. M.4Write variable equations
5. M.5Does x satisfy the equation?
6. M.6Solve equations using order of operations
7. M.7Rearrange multi-variable equations

## Solve equations

1. N.1Model and solve equations using algebra tiles
2. N.2Write and solve equations that represent diagrams
3. N.3Solve one-step linear equations
4. N.4Solve two-step linear equations
5. N.5Solve advanced linear equations
6. N.6Solve equations with variables on both sides
7. N.7Solve equations: complete the solution
8. N.8Find the number of solutions
9. N.9Create equations with no solutions or infinitely many solutions
10. N.10Solve linear equations: word problems
11. N.11Solve linear equations: mixed review

## Single-variable inequalities

1. O.1Graph inequalities
2. O.2Write inequalities from graphs
3. O.3Identify solutions to inequalities
4. O.4Solve one-step linear inequalities: addition and subtraction
5. O.5Solve one-step linear inequalities: multiplication and division
6. O.6Solve one-step linear inequalities
7. O.7Graph solutions to one-step linear inequalities
8. O.8Solve two-step linear inequalities
9. O.9Graph solutions to two-step linear inequalities
10. O.10Solve advanced linear inequalities
11. O.11Graph solutions to advanced linear inequalities

## Data and graphs

1. P.1Interpret bar graphs, line graphs and histograms
2. P.2Create bar graphs, line graphs and histograms
3. P.3Circle graphs
4. P.4Interpret stem-and-leaf plots
5. P.5Interpret box-and-whisker plots
6. P.6Interpret a scatter plot
7. P.7Scatter plots: line of best fit

## Relations and functions

1. Q.1Relations: convert between tables, graphs, mappings and lists of points
2. Q.2Identify independent and dependent variables
3. Q.3Identify functions
4. Q.4Identify functions: vertical line test
5. Q.5Find values using function graphs
6. Q.6Evaluate a function
7. Q.7Evaluate a function: plug in an expression
8. Q.8Complete a function table from a graph
9. Q.9Complete a function table from an equation
10. Q.10Interpret the graph of a function: word problems

## Direct variation

1. R.1Identify proportional relationships
2. R.2Find the constant of variation
3. R.3Graph a proportional relationship
4. R.4Write direct variation equations
5. R.5Write and solve direct variation equations

## Linear functions

1. S.1Identify linear functions
2. S.2Find the slope of a graph
3. S.3Find the slope from two points
4. S.4Find a missing coordinate using slope
5. S.5Slope-intercept form: find the slope and y-intercept
6. S.6Slope-intercept form: graph an equation
7. S.7Slope-intercept form: write an equation from a graph
8. S.8Slope-intercept form: write an equation
9. S.9Slope-intercept form: write an equation from a table
10. S.10Slope-intercept form: write an equation from a word problem
11. S.11Linear equations: solve for y
12. S.12Write linear functions to solve word problems
13. S.13Complete a table and graph a linear function
14. S.14Compare linear functions: graphs, tables and equations
15. S.15Write equations in standard form
16. S.16Standard form: find x- and y-intercepts
17. S.17Standard form: graph an equation
18. S.18Equations of horizontal and vertical lines
19. S.19Graph a horizontal or vertical line
20. S.20Point-slope form: graph an equation
21. S.21Point-slope form: write an equation
22. S.22Point-slope form: write an equation from a graph
23. S.23Slopes of parallel and perpendicular lines
24. S.24Write an equation for a parallel or perpendicular line
25. S.25Transformations of linear functions

## Systems of linear equations

1. T.1Is (x, y) a solution to the system of equations?
2. T.2Solve a system of equations by graphing
3. T.3Solve a system of equations by graphing: word problems
4. T.4Find the number of solutions to a system of equations by graphing

## Monomials

1. U.1Identify monomials
2. U.2Multiply monomials
3. U.3Multiply monomials to find area
4. U.4Divide monomials
5. U.5Multiply and divide monomials
6. U.6Powers of monomials

## Polynomials

1. V.1Polynomial vocabulary
2. V.2Model polynomials with algebra tiles
3. V.3Add and subtract polynomials using algebra tiles
4. V.4Add and subtract polynomials
5. V.5Add polynomials to find perimeter
6. V.6Multiply a polynomial by a monomial
7. V.7Multiply polynomials to find area
8. V.8Divide a polynomial by a monomial

## Logic

1. W.1Identify hypotheses and conclusions
2. W.2Counterexamples

## Probability

1. X.1Theoretical probability
2. X.2Experimental probability
3. X.3Compound events: find the number of outcomes
4. X.4Identify independent and dependent events
5. X.5Probability of independent and dependent events

## Statistics

1. Y.1Calculate mean, median, mode and range
2. Y.2Interpret charts to find mean, median, mode and range
3. Y.3Mean, median, mode and range: find the missing number
4. Y.4Quartiles
5. Y.5Identify biased samples