Which exercises from the homework should I discuss on the board?

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Slide 1: Mind map

WiskundeMiddelbare schoolhavoLeerjaar 3

This lesson contains 14 slides, with interactive quizzes and text slides.

Lesson duration is: 50 min

Items in this lesson

Which exercises from the homework should I discuss on the board?

Slide 1 - Mind map

Linear formulas

y = ax + b is the general form of a linear formula. In this formula a is the gradient and b is the y-intercept.

The corresponding graph is an increasing or decreasing straight line. The corresponding table has a regular increase/decrease in the bottom row if the top row contains consecutive whole numbers.

Slide 2 - Slide

Linear formulas

y = ax + b is the general form of a linear formula. In this formula a is the gradient and b is the y-intercept.

You can make a formula when you are given: - a graph - a table - the coordinates of two points on the graph

Slide 3 - Slide

Gradient

Gradient in a graph: If you increase 1 step on the horizontal axis, the corresponding increase/decrease on the vertical axis is the gradient.

gradient f = 2 gradient g = -1.5

Slide 4 - Slide

Gradient

Gradient in a table: If you increase 1 step in the top row, the corresponding increase/decrease in the bottom row is the gradient.

gradient k = 2.5 gradient m = -3

Slide 5 - Slide

Gradient

Gradient from 2 given points on the graph: line q passes through Use this formula to calculate the gradient: points P(3, -4) and R(9, -2).

gradient q =

Slide 6 - Slide

Gradient

If two graphs have the same gradient, the graphs are parallel.

Slide 7 - Slide

Y-intercept

Y-intercept in a graph: The vertical coordinate of the point of intersection with the vertical axis is the y-intercept.

y-intercept f = -4 y-intercept g = 8

Slide 8 - Slide

Y-intercept

Y-intercept in a table: The value in the bottom row when the value in the top row is zero is the y-intercept.

y-intercept k = 4.5 y-intercept m = 50

Slide 9 - Slide

Y-intercept

Y-intercept from 2 given points on the graph: line q passes through Fill in gradient, and the x- and y-coordinate of points P(3, -4) and one of the points into the general linear formula. R(9, -2). (Gradient = 1/3) Calculate the y-intercept.

y-intercept q = -5

Slide 10 - Slide

Y-intercept

If two graphs have the same y-intercept, they intersect the y-axis at the same point.

Slide 11 - Slide

Formulas

If you know the gradient and the y-intercept, you can fill in the general linear formula (y=ax+b) to find the formula. gradient f = 2 y-intercept f = -4 gradient g = -1.5 y-intercept g = 8 gradient k = 2.5 y-intercept k = 4.5 gradient m = -3 y-intercept m = 50 gradient q = 1/3 y-intercept q = -5

Slide 12 - Slide

Homework Tuesday

§4.1, make and correct: All key exercises: 3, 4, 5, 6 At least 1 basic exercise: 1, 2