## Math Outline: 2016- 2017

``` Grade 7  Math Outline (2016-2017)

* What are Natural Number? Examples
*What are rational Numbers? Examples
* What are Irrational Numbers? Examples
*What are integers? Examples
*Write numbers into words. Examples
*What is the Place/face/Total Value? Examples
* Rounding/Expanding numbers? Examples
* Prime/Composite numbers? Examples
*Why is “1” neither composite or prime
* Multiples? Examples (What is the LCM) Examples
* Factors? Examples  (What is the GCF) Examples
* Factor Rainbows/trees? Examples
* Ordering/Comparing numbers? Examples
* Divisibility Rules
* What are Powers/Square Roots? Examples
* Addition, subtraction, multiplication, division of whole numbers
* Order of Operations

Number Sense:

Chapter 2

- Ratios
- comparing/ordering ratios
- Proportions
- Ratios (fractions) to Percent/Decimals
- Percent to a Fraction  25% = 25/100 (1/4)
- Percent of a Number (20% of 260) or  (4 is _ % of 10)
- Discount/Sale Price/Commission
- Rate and Unit Rate  (500 km/ 5 hrs)  =   100km/hr
- Taxes
- Interest (Simple / Compound)

Chapter 6
- Integers (comparing/ordering)

Chapter 1

- Perfect squares: Square Roots / Powers (use Grid paper/Geo boards)
- Powers vs Area (relationship
- Commutative property ( 3 x 2/5 x 1/3  = 3  x 1/3  x 2/5)
- Distributive property (16.8 / 0.2 ) = 16/0.2  + 0.8 /0.2) = 80 + 4 (84)
- Order of Operations (integers,decimals,fractions, and Brackets)

Measurement/Geometry:

Project:  Research and report on real-life application of area measurements
(e.g., painting your bedroom)
Chapter 5

- Linear measurement (km, m, cm, mm..)
- conversion between units ( 2.5 m = 250 cm...)
- conversion of metric units of area ( 6.25 m^2 = 62 500 cm^2)
- Calculate Area of shapes (quadrilaterals, pentagons,...)
- Calculate Surface Area of solids (prisms, cones....)
- Calculate area of composite shapes

Chapter 10
- Calculate volume of of solids
- Relationship between Area of a Circle and parallelogram
- Calculate the capacity of an Aquarium (trapezoidal base...)
- Chart Relationship how doubling the sides affects volume,area ..
- Nets, Geometer Sketchpad.

- Construct Lines (Parallel/perpendicular/intersecting lines)
at 30, 45, 60 (using compass, straight edge, geometry software)
- Classifying angles (supplementary, complementary, vertical, alternate,
- Classifying Polygons (triangles, quadrilateral,....)

Chapter 7
- Tessellations
- Construct Angle bisectors, perpendicular bisectors, medians, ....)
- Similar and congruent shapes (ASA, SSS, SAS)
- Solids (faces, vertical, edges,)
- Angles between the faces of a prism
- Relationship among area, perimeter, corresponding side lengths,
and corresponding angles of congruent shapes.
(Justify the conjecture that triangles with the same area are congruent.
- Distinguish between and compare similar and congruent shapes.
- Plot points and shapes on a Cartesian Plane
- Determine the area and perimeter of shapes on the plane.

Project:  Using Geometers Sketchpad to investigate whether what  Polygons
will tessellate????

Algebra

Chapter 4 and 8

- Create a table of values and graph the relationship (Through investigation)
(e.g. speed, heart rate)
- Using algebraic equations to represent teh changing quantities.
(e.g. total people that can be seated at a table p = 4t)
- Translating phrases into algebraic expressions
(e.g. two more than three times a number   3x  + 2)
- Evaluate algebraic expressions, by substitution for numebrs
(e.g.  2 n  +  3 ; where n is 4     2 (4)  +  3   =  11
- Solving and plotting linear equations, using table of values
(e.g.  y  =  2x + 3)     X   -1    0   1    2
y    1    3   5    7

Data Management and Probability/Odds

Chapter 3

- Select an appropriate type of graph to represent data
(Line, circle, bar, graphs)
- Measure Central tendency (mean, median, and mode)
- Identify and describe trends, based on the distribution of data\
presented in data (data from internet or newspaper)

Chapter 12

- Research and report on applications of Probability/Odds
( e.g. lotteries, battering average, elections ....)
- Make predictions about a population when give Probability/Odds
( e.g. P (Bass) when given that 40% of the fish in a lake are bass.)
- Represent in Tables, Tree Diagrams, all possible outcomes of a
Probability experiment involving two independent events;
(e.g. Rolling a 4 on a die, and drawing a 4 of spades)
- Perform a simple Probability Experiment.
Place Red, Blue, Green counters in a Bag. Compare the
Theoretical and experimental probability of drawing a Red, Blue, or Green)

The End Of Grade Seven (As per the Ontario Curriculum, 2010)

Parent Note:  The Nelson Textbook "Does not Cover the Grade Seven" Ontario
curriculum. Therefore I do use many other textbooks and Worksheets.

Mr. Giovannini