20 June - 26 June

 The mathematical meaning of the following as each word is the buliding block for the next.

  Straight line, Number line, integers,  x and y axis, independent variable, dependent variable, coordinates, negative gradient, positive gradient, point of origin,  function of x as f(x), when f(x) =0 then y=C (Constant), y intercept, right angled triangle, hypotenuse, similar triangles, ratio, equivalent fractions, unit rate, enlargement, proportion, HCF to simplify fractions,  parallel lines,  linear, equation.

Must know: Use of protractor, ruler, Timestable, Basic Facts,  sum of interior angles of a triangle, fraction of a  number as fraction times a number.

Learning intentions for next 5 weeks: 

STEP BY STEP on graph paper, pencil, super neat. Highlight each line once you have passed the test.

WEEK 6.

1. . Drawing the number line accurately as the foundation for further learning on graph paper
2. Using the number line to recall (<) less than, (>) greater than
   
3.  Using the number line to understand integers 
   
4. 4 application of integers
5. Using the number lines to understand x axis ( independent variable) and y axis ( dependent variable)
   
6. Using the x and y axis to understand angles, parallel lines, gradient, coordinates
   

WEEK 7

1. Drawing when x =0 it becomes the y axis, when y=0 it becomes the x axis
   
2. Using x = 0, y= 0 as the point of origin
   
3. Relationship when x=0 and gradient
   
4.  Gradient as hypotenuse of right angled triangle
   

WEEK 8

1. Using right angled triangles of common hypotenuse (gradient) to form similar triangles
   
2. applying equivalent fractions to calculate unknown side
3. Creating a rule for similar triangles
   
4. Using similar triangles for enlargement and ratio
   
5. Using similar triangles to understand unit rate, height /base ( rise/run =m)
   
6. Using unit rate as m to calculate a change in x to figure out y
   
7. Figuring out what the hypotenuse (Gradient) represents in a graph and its applications.

WEEK 9 .

1. Using table method for x and y
   
2.  table method to calculate y
3. create a general rule (equation) 
   

WEEK 10 Extention: 

        1. In y=mx+c. When f(x) =0 then y=C. When f(x) = 1 in Run, as in Rise /Run, then Rise =m 

         2. Use right angle triangle for pythagoras rule.

        3. Trig functions, for a given angle the ratio of the lengths of sides are fixed so rules can be applied.

         4. Transition from linear to quadratic function. 

          5.  Planet Earth: Use x, y axis as equator and Prime Meridian, lats and longs, time difference,  GPS, seasons, location, bearings, protractor, cardinal directions, compass directions.

           6. The Scientific Method: y=mx+c.

Success Criteria: Explore : What I need to know to solve problems in context - I can go to the next step of my learning  from the previous week when I can successfully show my previous learning steps with reasoning. 

Focus: Now that I have my maths and stats knowledge from each week:  I can create strategies to solve maths and stast  problems in context in a meaningful way I can understand.

Plan and do: I can ask questions, plan and solve problems with each week's learning across the curriculum applying my maths and stats knowledge.