S1.N1.d Use algebra discs or the AlgeDisc application in AlgeTools to make sense of addition, subtraction and multiplication involving negative integers and develop proficiency in the 4 operations of integers.
S1.N1.e Work in groups to estimate quantities (numbers and measures) in a variety of contexts, compare the estimates and share the extirpation strategies.
S1.N1.f Compare follow-through errors arising from intermediate values that are rounded to different degrees of accuracy.
S1.N1.g Make estimates and check the reasonableness of answers obtained by calculators.
S1.N2.b Use the concept of equivalent ratios to find a:b:c given the ratios a:b and b:c
S1.N2.c Make connections between ratios and fractions, use appropriate mathematical language to describe the relationship, and use algebra to solve problems, e.g. "The ratio A to B is 2:3" can be represented as: A 2x B 3x The ratio 2:3 means "2units to 3 units", "A is 2/3 of B", or "B is 3/2 of A".
S1.N2.d Use the AgleBar application in AlgeTools to formulate linear equations to solve problems. (Students can draw models to help them formulate equations.)
S1.N3.1 expressing one quantity as a percentage of another
S1.N5.a Use spreadsheets, e.g. Microsoft Excel, to
S1.N5.a.1 explore the concept of variables and evaluate algebraic expressions.
S1.N5.a.2 compare and examine the differences between pairs of expressions, e.g. 2n and 2 + n, n² and 2n, 2n² and (2n)².
S1.N5.b Use algebra discs or the AlgeDisc application in AlgeTools to make sense of and interpret linear expressions with integral coefficients, e.g. 4x - 2y and -3(x-2).
S1.N5.c Use the AlgeDisc application in AlgeTools to construct and simplify linear expressions with integral coefficients.
S1.N5.d Work in groups to select and justify pairs of equivalent expressions.
S1.N5.e Write algebraic expressions to express mathematical relationships, e.g. for the statement "There are 3 times as many boys as girls", if we let x be the number of girls, then the number of boys is 3x. This can also be written as b= 3g, where b and g are the number of boys and girls respectively.
S1.N5.f Explore number patterns and write algebraic expressions to represent the patterns.
S1.N6.a Play games, e.g. Battleship Game, that involve the use of 2D Cartesian coordinates to specify points.
S1.N6.b Use a function machine to generate input and output values to illustrate the concept of function as "only one output for every input" and represent the function in verbal, tubular, graphical and algebraic forms.
S1.N6.c Use a linear function to represent the relationship between two variables (such as distance and time when the speed is constant), show the relationship graphically and identify that the rate of change is the gradient of the graph.
S1.G1.a investigate the properties relating the sides and angles of a triangle, e.g. form triangles with different lengths to discover that the sum of two sides is greater than the third side, and that the longest side is opposite the largest angle.
S1.G1.b Use GSP or other dynamic geometry software to explore a given type of quadrilateral (e.g.parallelogram) to discover its properties, e.g. diagonals of a parallelogram bisect each other.
S1.G1.c investigate the sum of the interior and exterior angles of polygons and obtain the formulae for them.