# Grade 6 Math Tutor

Sixth grade math delves even deeper into many of the concepts that students have come into contact with including decimals, proper and improper fractions, and mixed numbers. Students must demonstrate an understanding of relationships involving percent, ratio, and unit rate. Some students may struggle with these more advanced concepts and would benefit from in-home tutoring.

Our one-on-one tutors work with the local curriculum. In the sixth grade, students must master not only important mathematical concepts, but also the following academic skills:

- Problem solving.
- Reasoning skills including pattern recognition, classification and the investigation of conjectures through discussion.
- Reflecting and monitoring their thinking i.e. by explaining to others why they think their solution is correct.
- Ability to use a variety of concrete, visual, and electronic learning tools and appropriate computational strategies to solve problems.
- To relate mathematical ideas and procedures to everyday contexts.
- Make basic representations of simple mathematical ideas.
- Communicate mathematical concepts orally, visually, and in writing.

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### Grade 6 Math Sample Curriculum

#### Number Sense and Numeration

- Read, compare and order whole numbers and decimal numbers from 0.01 to 1 million
- Demonstrate an understanding of place value in whole numbers and decimal numbers from 0.001 to 1 million and multiply and divide decimal numbers to tenths
- Read and write in whole words numbers from 1-100,000
- Compare and order fractions with unlike denominators
- Estimate quantities using benchmarks of 10%, 25%, 50%, 75%, and 100%
- Identify composite prime numbers, and explain the relationship between them
- Solve addition, subtraction, multiplication, and division problems involving whole numbers
- Multiply whole numbers by 0.1, 0.01, and 0.001 and multiply and divide decimal numbers by 10, 100, 1000, and 10 000

#### Data Management and Probability

- Collect data by conducting a survey or an experiment
- Collect and organize discrete or continuous primary data and secondary data and display the data in charts, tables, and graphs that have appropriate titles, labels and scales
- Determine, through investigation, how well a set of data represents a population, on the basis of the method that was used to collect the data
- Read, interpret, and draw conclusions from primary data and from secondary data
- Explain how different scales used on graphs can influence conclusions drawn from the data
- Demonstrate an understanding of ‘mean’ and how it differs from ‘median’ and ‘mode’
- Predict the frequency of an outcome of a simple probability experiment or game

#### Measurement

- Estimate, measure, and record length, area, mass, capacity, and volume, using the metric measurement system
- Solve problems requiring conversion from larger to smaller metric units
- Develop the formulas for the area of a parallelogram and the area of a triangle using the area relationships among rectangles, parallelograms, and triangles
- Estimation and calculation of the surface area and volume of triangular and rectangular prisms

#### Geometry and Spatial Sense

- Sort and classify quadrilaterals by geometric properties related to symmetry, angles, and sides
- Sort and construct polygons according to the number of lines of symmetry and the order of rotational symmetry
- Measure and construct angles up to 180° using a protractor, and classify them as acute, right, obtuse, or straight angles
- Build three-dimensional models using connecting cubes, given isometric sketches or different views
- Explain how a coordinate system represents location, and plot points in the first quadrant of a Cartesian coordinate plane

#### Patterning and Algebra

- Identify geometric patterns and make tables of values for growing patterns, given pattern rules in words
- Determine the term number of a given term in a growing pattern that is represented by a pattern rule in words and describe pattern rules
- Extend and create repeating patterns that result from rotations
- Demonstrate an understanding of different ways in which variables are used
- Solve problems that use two or three symbols or letters as variables to represent different unknown quantities