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Mathematics Outline

 Grade 6 Mathematics Outline    Term 1: 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. Measurement – Perimeter □ Estimating lengths □ Metric Conversions □ Finding perimeter □Definitions □ Area of a rectangle formula and examples □ Area of a square formula and examples □ Area of a triangle formula and examples 3. 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 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 Term 2: 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)