# GRADE 8 MATH

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**A. Number theory**

1 Factors

2 Divisibility rules

3 Prime or composite

4 Prime factorization

5 Greatest common factor

6 Least common multiple

7 GCF and LCM: word problems

8 Classify numbers**B. Integers**

1 Integers on number lines

2 Graph integers on horizontal and vertical number lines

3 Understanding opposite integers

4 Understanding absolute value

5 Absolute value

6 Absolute value and integers: word problems

7 Compare and order integers

8 Integer inequalities with absolute values**C. Operations with integers**

1 Integer addition and subtraction rules

2 Add and subtract integers using counters

3 Add and subtract integers

4 Complete addition and subtraction sentences with integers

5 Add and subtract three or more integers

6 Add and subtract integers: word problems

7 Integer multiplication and division rules

8 Multiply and divide integers

9 Complete multiplication and division sentences with integers

10 Add, subtract, multiply and divide integers

11 Evaluate numerical expressions involving integers**D. Operations with fractions**

1 Write fractions in lowest terms

2 Least common denominator

3 Add and subtract fractions with like denominators

4 Add fractions with unlike denominators using models

5 Add fractions with unlike denominators

6 Subtract fractions with unlike denominators using models

7 Subtract fractions with unlike denominators

8 Add and subtract fractions with unlike denominators: word problems

9 Add and subtract mixed numbers

10 Add and subtract mixed numbers: word problems

11 Inequalities with addition and subtraction of fractions and mixed numbers

12 Reciprocals and multiplicative inverses

13 Multiply fractions and whole numbers

14 Multiply two fractions using models

15 Multiply fractions

16 Multiply fractions: word problems

17 Multiply mixed numbers

18 Multiply mixed numbers: word problems

19 Divide whole numbers by unit fractions using models

20 Divide whole numbers and unit fractions

21 Divide fractions

22 Divide fractions: word problems

23 Divide mixed numbers

24 Divide mixed numbers: word problems

25 Evaluate numerical expressions involving fractions**E. Rational numbers**

1 Identify rational and irrational numbers

2 Round decimals and mixed numbers

3 Absolute value of rational numbers

4 Convert between decimals and fractions or mixed numbers

5 Compare positive rational numbers

6 Compare rational numbers

7 Put rational numbers in order**F. Operations with rational numbers**

1 Add and subtract positive and negative decimals

2 Add and subtract rational numbers

3 Add and subtract rational numbers: word problems

4 Multiply and divide positive and negative decimals

5 Multiply and divide rational numbers

6 Multiply and divide rational numbers: word problems

7 Evaluate numerical expressions involving positive and negative decimals

8 Evaluate numerical expressions involving rational numbers

9 Apply addition and subtraction rules

10 Apply multiplication and division rules

11 Apply addition, subtraction, multiplication and division rules**G. Exponents and roots**

1 Understanding exponents

2 Evaluate exponents

3 Write powers of ten with exponents

4 Multiply a whole number by a power of ten: with exponents

5 Multiply a decimal by a power of ten: with exponents

6 Divide by a power of ten: with exponents

7 Multiply and divide by a power of ten: with exponents

8 Solve equations with variable exponents

9 Exponents with negative bases

10 Exponents with decimal and fractional bases

11 Square roots of perfect squares

12 Estimate square roots

13 Relationship between squares and square roots

14 Solve equations involving squares and square roots**H. Scientific notation**

1 Convert between standard and scientific notation

2 Compare numbers written in scientific notation**I. Ratios, rates and proportions**

1 Understanding ratios

2 Identify equivalent ratios

3 Write an equivalent ratio

4 Ratio tables

5 Equivalent ratios: word problems

6 Unit rates

7 Equivalent rates

8 Ratios and rates: complete a table and make a graph

9 Use tape diagrams to solve ratio word problems

10 Compare ratios: word problems

11 Compare rates: word problems

12 Ratios and rates: word problems

13 Do the ratios form a proportion?

14 Do the ratios form a proportion: word problems

15 Solve proportions

16 Estimate population size using proportions

17 Scale drawings: word problems

**J. Proportional relationships**

1 Find the constant of proportionality from a table

2 Write equations for proportional relationships from tables

3 Identify proportional relationships by graphing

4 Find the constant of proportionality from a graph

5 Write equations for proportional relationships from graphs

6 Identify proportional relationships from graphs and equations

7 Identify proportional relationships from tables

8 Graph proportional relationships

9 Interpret graphs of proportional relationships

10 Write and solve equations for proportional relationships**K. Percent’s**

1 Convert between percent, fractions and decimals

2 Compare percents to fractions and decimals

3 Find what percent one number is of another

4 Find what percent one number is of another: word problems

5 Estimate percents of numbers

6 Percents of numbers and money amounts

7 Percents of numbers: word problems

8 Compare percents of numbers

9 Solve percent equations

10 Percent of change

11 Percent of change: word problems**L. Consumer math**

1 Price lists

2 Unit prices

3 Unit prices: find the total price

4 Percent of a number: tax, discount and more

5 Find the percent: tax, discount and more

6 Sale prices: find the original price

7 Multi-step problems with percent’s

8 Estimate tips

9 Simple interest

10 Compound interest

11 Balance a budget

12 Adjust a budget

M. Units of measurement

1 Convert rates and measurements: metric units

2 Metric mixed units

3 Convert square units of length

4 Convert between cubic meters and liters

5 Precision**M. Problem solving**

1 Multi-step word problems

2 Guess-and-check word problems

3 Use Venn diagrams to solve problems

4 Elapsed time word problems

5 Consecutive integer problems**N. Coordinate plane**

1 Coordinate plane review

2 Quadrants and axes

3 Follow directions on a coordinate plane

4 Find the distance between two points**O. Two-dimensional figures**

1 Identify and classify polygons

2 Classify triangles

3 Identify trapezoids

4 Classify quadrilaterals I

5 Classify quadrilaterals II

6 Graph triangles and quadrilaterals

7 Find missing angles in triangles

8 Find missing angles in triangles using ratios

9 Triangle Angle-Sum Theorem

10 Find missing angles in quadrilaterals I

11 Find missing angles in quadrilaterals II

12 Interior angles of polygons

13 Identify complementary, supplementary, vertical, adjacent and congruent angles

14 Find measures of complementary, supplementary, vertical and adjacent angles

15 Transversals of parallel lines: name angle pairs

16 Transversals of parallel lines: find angle measures

17 Find lengths and measures of bisected line segments and angles

18 Parts of a circle

19 Central angles and arc measures**P. Transformations and congruence**

1 Symmetry

2 Identify reflections, rotations and translations

3 Describe a sequence of transformations

4 Translations: graph the image

5 Translations: find the coordinates

6 Reflections: graph the image

7 Reflections: find the coordinates

8 Rotations: graph the image

9 Rotations: find the coordinates

10 Compositions of congruence transformations: graph the image

11 Side lengths and angle measures of congruent figures

12 Congruence statements and corresponding parts**Q. Transformations and similarity**

1 Similar and congruent figures

2 Dilations: graph the image

3 Dilations: find the coordinates

4 Dilations: scale factor and classification

5 Identify similar triangles

6 Side lengths and angle measures of similar figures**R. Pythagorean theorem**

1 Pythagorean theorem: find the length of the hypotenuse

2 Pythagorean theorem: find the missing leg length

3 Pythagorean theorem: find the missing leg or hypotenuse length

4 Pythagorean theorem: find the perimeter

5 Pythagorean theorem: word problems

6 Converse of the Pythagorean theorem: is it a right triangle?

T. Three-dimensional figures

1 Parts of three-dimensional figures

2 Nets of three-dimensional figures

3 Front, side and top view

4 Base plans

5 Similar solids

**U. Geometric measurement**

1 Perimeter

2 Area

3 Area between two shapes

4 Area and perimeter: word problems

5 Area of circles

6 Circumference of circles

7 Area and perimeter of semicircles and quarter circles

8 Circles: word problems

9 Area of compound figures with triangles, semicircles and quarter circles

10 Volume

11 Surface area of prisms and cylinders

12 Surface area of pyramids

13 Volume and surface area of similar solids

14 Perimeter and area: changes in scale**V. Number sequences**

1 Identify arithmetic and geometric sequences

2 Arithmetic sequences

3 Geometric sequences

4 Number sequences: mixed review

5 Number sequences: word problems

6 Evaluate variable expressions for number sequences

7 Write variable expressions for arithmetic sequences**W. Expressions and properties**

1 Write variable expressions

2 Write variable expressions from diagrams

3 Write variable expressions: word problems

4 Evaluate linear one-variable expressions

5 Evaluate one-variable expressions

6 Evaluate multi-variable expressions

7 Evaluate absolute value expressions

8 Evaluate radical expressions

9 Evaluate rational expressions

10 Identify terms and coefficients

11 Sort factors of expressions

12 Properties of addition and multiplication

13 Multiply using the distributive property

14 Simplify variable expressions using properties

15 Add and subtract like terms

16 Simplify linear expressions

17 Factors of linear expressions

18 Identify equivalent linear expressions using algebra tiles

19 Identify equivalent linear expressions

20 Identify equivalent linear expressions: word problems**X. One-variable equations**

1 Which x satisfies an equation?

2 Write an equation from words

3 Model and solve equations using algebra tiles

4 Write and solve equations that represent diagrams

5 Properties of equality

6 Solve one-step equations

7 Solve two-step equations

8 Solve multi-step equations

9 Solve equations involving like terms

10 Solve equations with variables on both sides

11 Solve equations: complete the solution

12 Solve equations: word problems

13 Rearrange multi-variable equations**Y. One-variable inequalities**

1 Solutions to inequalities

2 Graph inequalities on number lines

3 Write inequalities from number lines

4 Solve one-step inequalities

5 Graph solutions to one-step inequalities

6 Solve two-step inequalities

7 Graph solutions to two-step inequalities

8 Solve multi-step inequalities

9 Graph solutions to multi-step inequalities**Z. Linear functions**

1 Does (x, y) satisfy the linear function?

2 Rate of change: tables

3 Rate of change: graphs

4 Constant rate of change

5 Complete a table for a linear function

6 Complete a table and graph a linear function

7 Graph a line from an equation

8 Interpret the graph of a linear function: word problems

9 Write a linear function from a table

10 Write linear functions: word problems**AA. Data and graphs**

1 Interpret tables

2 Interpret bar graphs

3 Create bar graphs

4 Interpret line graphs

5 Create line graphs

6 Interpret line plots

7 Create line plots

8 Interpret stem-and-leaf plots

9 Create stem-and-leaf plots

10 Interpret histograms

11 Create histograms

12 Create frequency charts

13 Create scatter plots

14 Identify trends with scatter plots

15 Make predictions with scatter plots

16 Interpret circle graphs

17 Circle graphs and central angles

18 Choose the best type of graph**BB. Statistics**

1 Calculate mean and range

2 Calculate mean, median, mode and range

3 Interpret charts to find mean and range

4 Interpret charts to find mean, median, mode and range

5 Mean and range: find the missing number

6 Mean, median, mode and range: find the missing number

7 Changes in mean and range

8 Changes in mean, median, mode and range

9 Quartiles

10 Identify representative, random and biased samples**CC. Probability**

1 Probability of simple events

2 Probability of opposite, mutually exclusive and overlapping events

3 Experimental probability

4 Make predictions

5 Compound events: find the number of outcomes

6 Counting principle

7 Identify independent and dependent events

8 Probability of independent events

9 Probability of independent and dependent events

## gRADE 8 math Pricing?

- Single Student
- Class size: One on One
- Class duration: 1 hour
- 1 Lesson per week
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- Siblings Offer
- Class size: 2 students
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- Single Student
- Class size: One on One
- Class duration: 1 hour
- 2 Lessons per week
- Visual Interactive Learning
- Flexible and Personalized Learning

- Siblings Offer
- Class size: 2 Students
- Class duration: 1 hour
- 2 Lessons per week
- Visual Interactive Learning
- Flexible and Personalized Learning