Tuesday the 30th of September

National 5
Algebraic fractions
L.I. To multiply and divide algebraic fractions and state them in their simplest form.
S.C. I can multiply an algebraic fraction
       I can simplify afterwards
       I can start to divide a fraction by "flipping" the second fraction and then multiplying.

Advanced Higher
Functions
L.I. To put all the work of the last few periods together and add in finding any stationary points as well.
S.C. I can find where the function cuts the axes
       I can find any asymptotes
       I can find the stationary points
       I can sketch the function and annotate correctly
       I can identify any parts of the function where it has no real solution

 

Monday the 29th of September

2(1)
Algebra
L.I. To use the technique of balancing an equation to solve an equation for a given variable.
S.C. I can start to solve the equation by taking the appropriate variable from both sides to leave only one side with a variable
       I can use the same technique (or similar) to move all the "numbers" to the other side
       I can solve the equation finding a value for the unknown variable

Advanced Higher

Functions

L.I. To look at harder examples of functions and to be able to sketch them using the information gathered.

S.C. I can find where the graph cuts the axes

       I can find the vertical asymptote and find what the graph is doing on either side of it.

       I can find any non-vertical asymptotes

       I can sketch the curve with the correct annotations.

 

Friday the 26th of September

2(1)
Algebra
L.I. To multiply out brackets and then solve the equation
S.C. I can multiply out the brackets correctly each time
       I can solve the equation

National 5
Algebraic Fractions
L.I. Adding and subtracting algebraic fractions with more difficult denominators
S.C. I can make the denominator of each of the fractions equal
       I can multiply up the numerator to keep the fractions equivalent
       I can tidy up the numerator and simplify the fraction if needed

Thursday the 25th of September

2(1)
Algebra
L.I. To combine the two previous lessons, multiplying out brackets and then tidying up an expression.
S.C. I can multiply out any sets of brackets that are given in the expression
       I can tidy up the expression by collecting like terms

3(3)
Circles
L.I. To look at calculating the circumference or area of a circle
S.C. I can use the formula for calculating the circumference correctly, making sure to use the diameter.
       I can calculate the circumference of a circle
       I can use the formula for calculating the area correctly, making sure to use the radius.
       I can calculate the area of a circle

National 5
Algebraic fractions
L.I. Adding basic algebraic fractions together
S.C. I can pick the correct denominator (the lowest common multiple of the denominators given)
       I can multiply the numerator by the correct amount to keep the fraction equivalent
       I can tidy up the expression given once the denominators are equal

 

 

Wednesday the 24th of September

Advanced Higher
Functions
L.I. Sketching functions that contain asymptotes, turning points etc
S.C. I understand what an asymptote is and how to calculate where a vertical and non-vertical asymptote is on a graph
       I can sketch a function that contains vertical and non-vertical asymptotes

2(1)
Algebra
L.I. To continue looking at expressions in algebra and manipulating them
S.C. I can multiply out the first part of a single bracket
       I always remember to multiply the rest of the bracket as well

Monday the 22nd of September

2(1)
Algebra
L.I. To simplify basic algebra expressions by collecting like terms
S.C. I can simplify an expression containing one variable (letter)
       I can simplify an expression containing more than one variable (letter)

Advanced Higher
Functions
L.I. To introduce the idea of odd and even functions and how we calculate if a function is odd, even or neither.  We will also look at inverse functions
S.C. I can identify whether a function is odd, even or neither
       I can calculate the inverse function for a given function and state it's domain and range

Wednesday the 17th of September

Advanced Higher
Functions
L.I. To review function notation from higher and to sketch the magnitude of functions.
S.C. I understand the notation and language of functions
       I understand the magnitude notation
       I can sketch the magnitude of a function

2(1)
Algebra
L.I. Solving basic equations.
S.C. I can identify an equation to solve
       I can do the first step to solve the equation (addition or subtraction part)
       I can do the second step to solve the equation (dividing part)

3(3)
Pythagoras Theorem
L.I. To look back at Pythagoras' Theorem and to use in examples
S.C. I can identify the side of the triangle that is missing and correctly set up the formula
       I can find the missing side

Tuesday the 16th of September

National 5
Algebraic Fractions
L.I. To be able to simplify fully fractions containing algebraic expressions.
S.C. I can simplify basic fractions with basic expressions
       I can factorise expressions to begin the simplification process when needed
       I can simplify an expression once it has been factorised

 

3(3)

Solving equations

L.I. To solve equations containing brackets

S.C. I can multiply out a single bracket to simplify one side of an equation

       I can solve the equation once it is in the correct format

 

Advanced Higher

Systems of linear equations

L.I. To determine whether a system of equations is ill-conditioned or not

S.C. I know what the term ill-conditioned means

       I can check for ill-conditioning in a system of equations



Monday the 15th of September

Advanced Higher
Systems of Linear Equations
L.I. To look at systems of equations that are redundant or inconsistent and to understand what that means
S.C. I can identify a system of equations that is redundant and find corresponding values of x and y for any z.
       I can identify a system of equations that is inconsistent and what it means when this happens

Thursday the 11th of September

2(1)
Statistics
L.I. To construct and explain the information contained in pie charts
S.C. I can find the fraction of the people involved
       I can turn that fraction into an angle to be used in a pie chart
       I can draw the pie chart accurately; remembering to put a title and labels on it.

3(3)
Algebra
L.I. To multiply out brackets, to tidy up expressions that include brackets and to solve equations that include brackets.
S.C. I can multiply out a bracket with a single number at the front of it
       I can multiply out a bracket and tidy up a given expression
       I can multiply out a bracket and then solve an equation

National 5
Revision
L.I. to revise the topics already covered for the upcoming unit test

Revision links
Grangemouth High School website, maths department section
School website

SPTA website
Good source of practice questions, take care to look for the right ones

Maths revision website
Teacher's powerpoint files and notes on all the topics covered at national 5

Wednesday the 10th of September

Advanced Higher
L.I. To look at the idea of using an augmented matrix to solve a system of linear equations by performing Elementary Row Operations on the matrix and then substitute back to solve.
S.C. I can write a system of equations in an augmented matrix
       I can perform Elementary Row Operations to put the matrix into upper triangular form
       I can back substitute to find the values of the variables and hence solve the system of equations

Tuesday the 9th of September

National 5
Revision
L.I. To revise the 2 outcomes that are to be tested
S.C. I can factorise, expand, simplify and compete the square
       I can simplify surds, rationalise the denominator and work with indices

3(3)
Algebra
L.I. To look at the idea of using substitution to calculate a value
S.C. I know what the question is asking me to do
       I can substitute the correct amount into the expression or formula
       I can calculate the value of the expression or formula

Advanced Higher
Integration
L.I. To use integration to calculate velocity and displacement given acceleration
S.C. I realise rates of change can be integrated to work in "reverse"
       I am able to calculate the velocity given an acceleration
       I am able to calculate the displacement given the velocity

Thursday the 4th of September

2(1)
Statistics
L.I. To draw and interpret data from a line graph
S.C. I know how to draw a line graph
       I can set up the axes with an appropriate scale
       I can analyse the data in the graph and understand what the word trend means.

3(3)
Algebra
L.I. To solve equations that have expressions on both sides of the equals sign, and to use a balancing method to solve them.
S.C. I understand the need to "balance" equations (keep both sides equal) in order to solve them
       I can make the equation have all of the letters involved on one side of the equation
       I can solve the equation.

National 5
Surds and indices revision
L.I. to revise the topics of surds and indices to prepare for the unit test
S.C. I can answer exam style questions on surds and indices
       I am prepared for the first section of the unit test

Wednesday the 3rd of September

Advanced Higher
Integration
L.I. To introduce the concept of volume of revolution through the x- and y-axis and how to calculate the volume using the appropriate formula.
S.C. I can set up the integral to start the calculation of the volume of revolution around the x-axis
       I can integrate the expression correctly and get an answer in cubic units
       I can set up the integral to start the calculation of the volume of revolution around the x-axis
       I can integrate the expression correctly and get an answer in cubic units

2(1)
Statistics
L.I. To look at data in an unorganised way and using a frequency table or a bar graph or both organise the information to help make decisions based on the data set.
S.C. I can create a fequency table for the information
       I can answer questions about the data from my frequency table
       I can see the link between the frequency table and a bar graph.

3(3)
Algebra
L.I. To solve basic equations involving two steps
S.C. I can solve one step equations where I have to add or take away
       I can solve one step equations where I have to divide
       I can solve two step equations where I have to add or subtract and then divide.

Tuesday the 2nd of September

National 5
Completing the square
L.I. To show the class how to express a trinomial in the form (x+a)^2 + b
S.C. I can express a trinomial with the x^2 coefficient as 1 in the form (x+a)^2 + b
       I can express a trinomial with the x^2 coefficient not equal to 1 in the form (x+a)^2 + b

3(3)
Algebra
L.I. To revise the process of simplifying an expression
S.C. I know I can only add or subtract letters that are the same
       I can simplify an expression into its most simple form

Advanced Higher
Integration
L.I. To integrate using substitution but not be given the substitution to pick it based on the integral.
S.C. I can identify what the best substitution would be to integrate the expression
       I can integrate the expression using this substitution.

Monday the 1st of September

2(1)
Statistics
L.I. to look closely at statistical diagrams and to look at how they can be misleading.
S.C. I can discuss the relative merits of a statistical diagram and decide if it is misleading or not

National 3
Volume
L.I. to calculate the volume of a cube or cuboid using an appropriate formula
S.C. I know the formula for the volume of a cuboid
       I can calculate the volume of a cuboid and set out the working correctly
       I always use the correct units in my answer

Advanced Higher
Integration
L.I. To continue to look at integration by substitution and now look at definite integrals and changing the limits due to the substitution.  In the second period we will look at useful substitutions for certain types of integrand.
S.C. I can integrate by substitution a definite integral by changing the limits as well as integrating.
       I can use certain useful substitutions to integrate certain expressions