# GRADE 6 MATH

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**A. Whole numbers**

1 Place values in whole numbers up to 1 million

2 Place values in whole numbers up to billions

3 Word names for numbers

4 Compare whole numbers

5 Order whole numbers

6 Roman numerals**B. Decimals**

1 What decimal number is illustrated?

2 Decimal place values

3 Word names for decimal numbers

4 Equivalent decimals

5 Convert decimals between standard and expanded form Compose and decompose decimals in multiple ways

6 Round decimals

7 Round whole numbers and decimals: find the missing digit

8 Decimal number lines

9 Compare decimals using models

10 Compare decimals on number lines

11 Compare decimal numbers

12 Put decimal numbers in order

13 Compare, order and round decimals: word problems**C. Integers**

1 Understanding integers

2 Integers on number lines

3 Graph integers on horizontal and vertical number lines

4 Compare and order integers**D. Addition and subtraction**

1 Add and subtract whole numbers

2 Add and subtract whole numbers: word problems

3 Complete addition and subtraction sentences

4 Estimate sums and differences of whole numbers

5 Estimate sums and differences: word problems

6 Add and subtract decimal numbers

7 Add and subtract decimals: word problems

8 Estimate sums and differences of decimals using rounding

9 Estimate sums and differences of decimals using benchmarks

10 Maps with decimal distances**E. Multiplication**

1 Multiply whole numbers

2 Multiply whole numbers: word problems

3 Complete multiplication sentences

4 Multiply numbers ending in zeroes

5 Multiply numbers ending in zeroes: word problems

6 Multiply three or more numbers

7 Multiply three or more numbers: word problems

8 Estimate products

9 Estimate products: word problems**F. Division**

1 Divisibility rules

2 Divide by two-digit numbers using partial quotients

3 Divide by two-digit numbers

4 Divide by two-digit numbers: word problems

5 Complete division sentences

6 Division patterns with zeroes

7 Divide numbers ending in zeroes: word problems

8 Adjust quotients

9 Estimate quotients: two-digit divisors

10 Estimate quotients

11 Estimate quotients: word problems**G. Multiply and divide decimals**

1 Multiply and divide decimals by powers of ten

2 Multiply a decimal by a one-digit whole number using blocks

3 Multiply a decimal by a one-digit whole number using the distributive property

4 Multiply a decimal by a two-digit whole number using area models

5 Multiply a decimal up to tenths by a whole number

6 Multiply a decimal up to hundredths by a whole number

7 Multiply a decimal up to tenths by a whole number: word problems

8 Multiply a decimal up to hundredths by a whole number: word problems

9 Multiply decimals using grids

10 Multiply decimals: where does the decimal point go?

11 Multiply decimals

12 Inequalities with decimal multiplication

13 Estimate products of decimal numbers

14 Divide whole numbers: decimal quotients

15 Decimal division patterns over increasing place values

16 Divide decimals using blocks: complete the equation

17 Divide decimals using area models: complete the equation

18 Divide decimals by whole numbers

19 Divide decimals by whole numbers: word problems

20 Divide whole numbers by decimals

21 Divide decimals

22 Inequalities with decimal division

23 Estimate decimal quotients**H. Exponents**

1 Write multiplication expressions using exponents

2 Evaluate exponents

3 Find the missing exponent or base

4 Exponents with decimal bases**I. Number theory**

1 Prime or composite

2 Identify factors

3 Prime factorization

4 Prime factorization with exponents

5 Greatest common factor

6 Least common multiple

7 GCF and LCM: word problems**J. Fractions and mixed numbers**

1 Fractions and mixed numbers review

2 Understanding fractions: word problems

3 Equivalent fractions review

4 Write fractions in lowest terms

5 Fractions of a group: word problems

6 Least common denominator

7 Compare fractions using benchmarks

8 Compare fractions using models

9 Compare fractions I

10 Compare fractions II

11 Compare fractions: find the missing numerator or denominator

12 Compare fractions: word problems

13 Convert between improper fractions and mixed numbers

14 Convert between decimals and fractions or mixed numbers

15 Graph and order fractions on number lines

16 Order fractions I

17 Order fractions II

18 Put a mix of decimals, fractions and mixed numbers in order**K. Add and subtract fractions**

1 Add and subtract fractions with like denominators using number lines

2 Add and subtract fractions with like denominators

3 Add and subtract fractions with like denominators: word problems

4 Add fractions with unlike denominators using models

5 Add fractions with unlike denominators I

6 Add fractions with unlike denominators II

7 Subtract fractions with unlike denominators using models

8 Subtract fractions with unlike denominators I

9 Subtract fractions with unlike denominators II

10 Add and subtract fractions with unlike denominators I

11 Add and subtract fractions with unlike denominators II

12 Add and subtract fractions with unlike denominators: word problems I

13 Add and subtract fractions with unlike denominators: word problems II

14 Inequalities with addition and subtraction of like fractions

15 Add and subtract mixed numbers with like denominators

16 Add and subtract mixed numbers with unlike denominators

17 Add and subtract mixed numbers: word problems

18 Estimate sums and differences of mixed numbers

**L. Multiply and divide fractions**

1 Fractions of a number: word problems

2 Multiply unit fractions by whole numbers using number lines

3 Multiply unit fractions by whole numbers: choose the model

4 Multiples of fractions

5 Multiply fractions by whole numbers using arrays

6 Multiply fractions by whole numbers using number lines

7 Multiply fractions by whole numbers: choose the model

8 Multiply fractions by whole numbers I

9 Multiply fractions by whole numbers II

10 Multiply fractions by whole numbers: word problems

11 Estimate products of fractions and whole numbers

12 Divide whole numbers by unit fractions using area models

13 Divide whole numbers by unit fractions

14 Divide whole numbers by fractions

15 Multiply and divide whole numbers by fractions**M. Mixed operations**

1 Add, subtract, multiply or divide two whole numbers

2 Add, subtract, multiply or divide two whole numbers: word problems

3 Evaluate numerical expressions involving whole numbers

4 Evaluate numerical expressions with exponents

5 Identify mistakes involving the order of operations

6 Evaluate numerical expressions with parentheses in different places

7 Input/output tables with addition, subtraction, multiplication and division

8 Add, subtract, multiply or divide decimals

9 Add, subtract, multiply or divide decimals: word problems

10 Evaluate numerical expressions involving decimals

11 Add, subtract or multiply fractions

12 Add, subtract or multiply fractions: word problems

13 Add, subtract, multiply or divide two fractions

14 Add, subtract, multiply or divide two fractions: word problems**N. Rational numbers**

1 Compare rational numbers

2 Put rational numbers in order**O. Problem solving and estimation**

1 Estimate to solve word problems

2 Multi-step word problems

3 Word problems with extra or missing information

4 Guess-and-check word problems

5 Distance/direction to starting point

6 Use logical reasoning to find the order**P. Ratios and rates**

1 Write a ratio

2 Write a ratio using a fraction

3 Write a ratio: word problems

4 Which model represents the ratio?

5 Identify equivalent ratios

6 Write an equivalent ratio

7 Ratio tables

8 Equivalent ratios: word problems

9 Unit rates

10 Equivalent rates

11 Use tape diagrams to solve ratio word problems

12 Compare ratios: word problems

13 Compare rates: word problems

14 Ratios and rates: word problems

15 Do the ratios form a proportion?

16 Solve the proportion

17 Scale drawings: word problems**Q. Percents**

1 What percentage is illustrated?

2 Understanding percents: strip models

3 Convert fractions to percents using grid models

4 Convert between percents, fractions and decimals

5 Convert between percents, fractions and decimals: word problems

6 Compare percents to each other and to fractions

7 Compare percents and fractions: word problems

8 Estimate percents of numbers

9 Solve percent problems using grid models

10 Solve percent problems using strip models

11 Percents of numbers and money amounts

12 Percents of numbers: word problems

13 Find what percent one number is of another

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

15 Find the total given a part and a percent

16 Solve percent problems

17 Solve percent word problems**R. Units of measurement**

1 Estimate metric measurements

2 Convert and compare metric units

3 Metric mixed units

4 Convert square and cubic units of length

5 Convert between cubic metres and litres

6 Choose the more reasonable temperature

7 Compare temperatures above and below zero

8 Multi-step problems with metric unit conversions**S. Money**

1 Find the number of each type of coin

2 Add and subtract money amounts

3 Add and subtract money amounts: word problems

4 Multiply money by whole numbers

5 Multiply money: word problems

6 Divide money amounts

7 Divide money amounts: word problems**T. Consumer math**

1 Sale prices

2 Which is the better coupon?

3 Unit prices

4 Unit prices with fractions and decimals

5 Percents – calculate tax, tip, mark-up and more

6 Estimate tips

7 Simple interest**U. Time**

1 Elapsed time

2 Time units

3 Find start and end times

4 Convert between 12-hour and 24-hour time**V. Coordinate plane**

1 Objects on a coordinate plane: positive numbers only

2 Graph points on a coordinate plane: positive numbers only

3 Objects on a coordinate plane: positive and negative numbers

4 Graph points on a coordinate plane: positive and negative numbers

5 Use a rule to complete a table and a graph

6 Quadrants

7 Coordinate planes as maps

8 Follow directions on a coordinate plane**W. Expressions and properties**

1 Write variable expressions

2 Write variable expressions: word problems

3 Evaluate variable expressions with whole numbers

4 Evaluate multi-variable expressions

5 Evaluate variable expressions with decimals

6 Identify terms and coefficients

7 Sort factors of expressions

8 Properties of addition

9 Add using properties

10 Properties of multiplication

11 Multiply using properties

12 Solve for a variable using properties of multiplication

13 Identify equivalent expressions using strip models

14 Identify equivalent expressions

**X. One-variable equations**

1 Does x satisfy an equation?

2 Which x satisfies an equation?

3 Write an equation from words

4 Model and solve equations using algebra tiles

5 Write and solve equations that represent diagrams

6 Solve one-step equations with whole numbers

7 Solve one-step equations with decimals

8 Solve one-step equations: word problems

9 Solve two-step equations

10 Solve two-step equations: word problems

11 Solve equations involving like terms**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**Z. Two-variable equations**

1 Does (x, y) satisfy an equation?

2 Identify independent and dependent variables

3 Solve word problems involving two-variable equations

4 Complete a table for a two-variable relationship

5 Write a two-variable equation

6 Identify the graph of an equation

7 Complete a table and graph a two-variable equation

8 Write an equation from a graph using a table

9 Identify linear functions from graphs and equations

10 Identify linear functions from tables**AA. Two-dimensional figures**

1 Identify and classify polygons

2 Measure angles with a protractor

3 Draw angles with a protractor

4 Measure angles on a circle

5 Types of angles

6 Estimate angle measurements

7 Classify triangles

8 Identify trapezoids

9 Classify quadrilaterals

10 Draw quadrilaterals

11 Graph triangles and quadrilaterals

12 Find missing angles in triangles and quadrilaterals

13 Properties of polygons

14 Sums of angles in polygons

15 Exterior angles of polygons

16 Name angles

17 Identify complementary, supplementary, vertical and adjacent angles

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

19 Parts of a circle**BB. Symmetry and transformations**

1 Symmetry

2 Reflection, rotation and translation

3 Translations: graph the image

4 Translations: find the coordinates

5 Reflections: graph the image

6 Reflections: find the coordinates

7 Rotations: graph the image

8 Rotations: find the coordinates

9 Compositions of transformations: graph the image

10 Similar and congruent figures

11 Find side lengths of similar figures**CC. Three-dimensional figures**

1 Identify polyhedra

2 Which figure is being described?

3 Nets of three-dimensional figures

4 Front, side and top view

5 Count vertices, edges and faces**DD. Geometric measurement**

1 Perimeter

2 Perimeter of rectilinear shapes

3 Area of squares and rectangles

4 Understanding area of a parallelogram

5 Area of parallelograms

6 Understanding area of a triangle

7 Area of triangles

8 Understanding area of a trapezoid

9 Area of trapezoids

10 Area of rhombuses

11 Area of compound figures

12 Area between two rectangles

13 Area and perimeter of figures on grids

14 Area and perimeter: word problems

15 Rectangles: relationship between perimeter and area

16 Compare area and perimeter of two figures

17 Surface area of cubes and rectangular prisms

18 Surface area of triangular prisms

19 Surface area of pyramids

20 Volume of rectangular prisms made of unit cubes

21 Volume of irregular figures made of unit cubes

22 Volume of cubes and rectangular prisms

23 Volume of triangular prisms

24 Relate volume and surface area**EE. Data and graphs**

1 Interpret pictographs

2 Create pictographs

3 Interpret stem-and-leaf plots

4 Create stem-and-leaf plots

5 Interpret line plots

6 Create line plots

7 Create frequency tables

8 Interpret categorical data

9 Interpret bar graphs

10 Create bar graphs

11 Interpret double bar graphs

12 Create double bar graphs

13 Interpret histograms

14 Create histograms

15 Circle graphs

16 Interpret line graphs

17 Create line graphs

18 Interpret double line graphs

19 Create double line graphs

20 Choose the best type of graph**FF. Statistics**

1 Calculate mean

2 Interpret charts and graphs to find mean

3 Mean: find the missing number

4 Calculate mean, median, mode and range

5 Interpret charts and graphs to find mean, median, mode and range

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

7 Identify representative and biased samples

8 Identify discrete and continuous data**GG. Probability**

1 Combinations

2 Understanding probability

3 Probability of one event

4 Probability of opposite, mutually exclusive and overlapping events

5 Make predictions using theoretical probability

6 Experimental probability

7 Make predictions using experimental probability

8 Compound events: find the number of outcomes

9 Compound events: find the number of sums

10 Identify independent and dependent events**HH. Financial literacy**

1 Financial institution vocabulary

2 Identify advantages and disadvantages of payment methods

3 Compare savings options

4 Balance a budget

5 Adjust a budget

II. Patterns and sequences

1 Compare number patterns

2 Number sequences: word problems

3 Use a rule to complete a number sequence

4 Extend a shape pattern

5 Complete an arithmetic number sequence

6 Complete a geometric number sequence

7 Complete an increasing number sequence

8 Identify mistakes in number patterns

## GRADE 6 MATH Pricing?

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- 1 Lesson per week
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- Single Student
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- 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