6 June - 12 June
Section outline
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Welcome to my Maths and stats class. Let's call my way of teaching as joining the dots....
My name is Mr. Hishey. Maths is all about trying to figure out how one step leads to another.
My job is to make you ask questions so you can then figure out the answers step by step.
It is important to show your understanding of maths step by step, so showing your working out, the method is super important.
Learning is a process. We learn, we get tested so that we remember what we learnt, then we build on our learning, just like a house is built.
Please copy and highlight what you have learny from each week.
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.
- . Drawing the number line accurately as the foundation for further learning on graph paper
- Using the number line to recall (<) less than, (>) greater than
- Using the number line to understand integers
- 4 application of integers
- Using the number lines to understand x axis ( independent variable) and y axis ( dependent variable)
- Using the x and y axis to understand angles, parallel lines, gradient, coordinates
WEEK 7
- Drawing when x =0 it becomes the y axis, when y=0 it becomes the x axis
- Using x = 0, y= 0 as the point of origin
- Relationship when x=0 and gradient
- Gradient as hypotenuse of right angled triangle
WEEK 8
- Using right angled triangles of common hypotenuse (gradient) to form similar triangles
- applying equivalent fractions to calculate unknown side
- Creating a rule for similar triangles
- Using similar triangles for enlargement and ratio
- Using similar triangles to understand unit rate, height /base ( rise/run =m)
- Using unit rate as m to calculate a change in x to figure out y
- Figuring out what the hypotenuse (Gradient) represents in a graph and its applications.
WEEK 9 .
- Using table method for x and y
- table method to calculate y
- 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.
Activities:
- Introduction and class management and lesson management system
- whole class teaching; ref slides.
- test on lesson 10 mins. Not successful? ask a friend. Do test again. Not clear? Arrange Google meet with me.
- Mathsbuddy check to support learning not as HW to be completed.
- Learing intentions list: Where am I? Highlight ones you have passed. Check next slides for tasks.
- Sit on tables that have common tasks on slides.
Home learning:
Complete class work, copy claaswork to exercise book and any mathsbuddy /EP task linked to classwork