Grade 7 Math Outline (February-June,2012)
* 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)
- Integers (Adding/Subtracting/multiplying/Dividing)
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,
adjacent, corresponding ....)
- 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
Grade Seven Math
Rooms 201/202/203