MS3 MATHEMATICS 2009-2010

(Term 1)

 

NB: At ISN we value the input of our learning partners, these expectations will be constantly updated to include learning partner ideas into the curriculum.

 

Expectations:

(a)  Learning partners will review and expand their knowledge of Integers and Number Theory.  They will:

(i)                   Solve real life situations mentally by using rounding and estimation.

(ii)                 Add, subtract, multiply, and divide with whole numbers, decimals and negative numbers, and use whole numbers, decimals and negative numbers in problems involving order of operations in multiple step problems.

(iii)                Understand standard index form, upper and lower bounds, and mentally know basic square roots, cube roots and exponents. 

(iv)                Use the laws of indices to perform calculations, and be able to solve calculations involving negative and fractional indices.

(v)                 Use order of operations, with brackets and exponents, in solving multiple step problems.

(vi)               Perform much more complex problems involving pi, the sign change key, exponents, roots, and fractions with a calculator.

(vii)              Find the next term in a sequence, and be able to differentiate between linear, quadratic, and other special sequences.

(viii)             Complete a Dream Home Project which involves designing a unique, hand-drawn floor plan.  LP’s will use scale, ratio, proportion, and dimensions to find actual sizes, and will expand their knowledge of shapes, find lengths, area formulas, and perimeters.

 

(b)  Learning partners will review and expand their knowledge of Decimals, Percentages and Fractions.  They will:

(i)                  Build on their knowledge of converting more complex decimals to percentages and percentages to fractions, and vice versa to find their equivalents.

(ii)                Calculate percentages of a number, as well as percentage increase and decrease, and solve simple word problems involving money.

(iii)               Begin a year long Stock Market Project which involves choosing stocks to follow, using number sense and probability, calculating percentage change, tracking data in Excel, and creating numerous statistical graphs.

 

(c)  Learning partners will review and expand their knowledge of Expressions, Equations and Inequalities.

(i)                 Simplify and transform algebraic expressions using distribution.

(ii)                Expand the product of two linear expressions by using the FOIL method.

(iii)              Define the terms monomial, binomial, and polynomial in algebraic expressions.

(iv)              Solve multi-step linear equations with exponents, square roots, brackets, and combining like terms.

(v)                Solve basic linear inequalities with the symbols <, >, ≤, ≥, and ≠ and represent on the number line.

(vi)              Factor using normal factoring, the Factor Box method, and be able to use the Quadratic Formula.

(vii)             Solve a pair of simultaneous equations with x and y values algebraically.

 

(d)  Learning partners will continue to review and expand their knowledge of Graphing.  They will:

(i)                Review graphing linear equations on the coordinate plane by plotting coordinate pairs, making a table of values, using slope-intercept form, and finding the x and y intercepts.

(ii)               Find a linear equation that is parallel and perpendicular to another line.

(iii)              Draw and interpret the graphs of simple quadratic, cubic and reciprocal functions, and use transformations to predict changes to these functions.