6 - Math Overview

GRADE 6 MATHEMATICS OVERVIEW TERM ONE  

1. Number Sense –

□ Place value

□ Different ways to represent numbers (e.g., expanded form etc.)

□ Prime and composite numbers

□ Adding and subtracting (whole numbers)

□ Multiplying (whole numbers)

□ Dividing (long division or with estimation)

□ Problem solving questions

□Rounding

□ Fractions:

            □Placing on a number line

            □Comparing fraction

            □Putting fractions in order (e.g., from least to greatest)

            □Equivalent fractions

            □Simplifying fractions

            □Fraction word problems

□ Decimals

            □Adding decimals

            □Subtracting decimals

            □Multiplying and dividing decimals by 10, 100, 1000

□Definitions

2. Probability –

□ Review of percents

□ Review placing fractions, decimals, and percents on a number line

□ Placing events on a probability line (between 0-1 or 0% - 100%)

□ Definitions

□ Experimental probability and calculating outcomes

□ Theoretical probability and calculating outcomes through a tree diagram

□Problem solving questions

3. Measurement – Perimeter –

□ Estimating lengths

□ Metric Conversions

□ Finding perimeter

□Definitions

4. Geometry – Angles and Angle Relationships –

□ How to measure angles

□ Drawing angles with a protractor

□ Constructing Figures (with a protractor and/or compass)

□ Definitions on the types of polygons and their angles

□Problem solving questions


GRADE 6 MATHEMATICS OVERVIEW TERM TWO  

5. Number Sense – Order of Operations and Ratios

□ Review of fractions, decimals, and percents

□ Order of operations

□Calculating the percent of something

□Ratios (part-to-part and part-to-whole)

□Ratio word problems

□Definitions

 

6. Data Management

□ Examples of different types of graphs

          □Circle or Pie graph

          □Single and double line graph

          □Single and double bar graph

          □Scatter plot

          □Stem-and-leaf plot

□ Label axes x and y

□ Choosing appropriate scales – how do you do that?

□ Making sure graphs have a title and sub-titles

□ Mean, median, mode (are all measures of central tendency)

□ Definition of outlier

□ Interpreting data – what does it mean to interpret data?

□ Inferences from the data – what does it mean to infer?

□ Finding relationships in data on graphs – what does that mean? (hint:

    upward or downward trends…)

 

7. Patterning and Algebra

□ Extending patterns with numbers and/or pictures

□ Representing patterns in four different models:

          □Concrete model (label as Term 1, Term 2, Term 3, Term 4, etc)

□Numerical model (create a t-chart/table and show how the pattern increases in the “Value” column at least three times)

□Write the Pattern Rule

□Draw the Graphical model of the pattern which is always a line graph (plot coordinates x and y)

□Determine missing values in equations by guess and check

□Use substitution in expressions and equations

□Check the left side and right side of an equation to make sure it is equal – show how!!

□ Definition of constants and variables

 

8. Measurement - V, A, and SA of rectangular and triangular prisms –

□ Definitions of area, surface area, and volume

□ SA (surface area) of a rectangular prism formula and examples

□ SA (surface area) of a square prism formula and examples

□ SA (surface area) of a triangular prism formula and examples

□ Volume of a rectangular prism formula and examples

□ Volume of a square prism formula and examples

□ Volume of a triangular prism formula and examples

 

9. Geometry – Transformations, Rotations, Isometric Drawings –

□ Definition of line of symmetry

□ Examples of shapes with one line of symmetry, two lines, three lines, and four lines of symmetry

□ What is a mirror line?

□ Definition of a Cartesian plane and draw an example of it (label the four quadrants as well)

□ What are coordinates and how do you use them?

□ Definition of the three transformations: reflection, translation, and rotation

□ Examples of reflections (on the x-axis and on the y-axis)

□ Examples of translations

□ Examples of rotations (both 90 degrees and 180 degrees (¼  and ½ turns); clockwise and counter-clockwise)

□ Examples of combined transformations

□ Examples of rotational symmetry

□ Examples of isometric drawings (front, side, and top views)