This a rich, Arithmagon activity on the equation
of straight line graphs, linking in simultaneous equations.
Comprehensive PowerPoint covering all the key aspects
of Straight Line Graphs.
Gradients and Y intercept
of Straight Line Graph (Power Point Based Lesson) This also contains a FANTASTIC Straight Line Graph TOOL so students can explore graphs and work out gradients and y intercept.
Not exact matches
For example, if you look at a
graph of the 10 - year Treasury rate from the height
of its peak in 1981, at 15.41 %, to the bottom in June 2016 (during Brexit), at 1.49 %, the chart looks more like a roller - coaster ride versus a simple
straight line down.
«We speculate in our paper that it is possible that this crossing
of the
lines on the EROI
graph may happen earlier than our
straight -
line extrapolation would suggest.
For example, for a side sleeper, they explain that a part
of the process includes
graphing points along the spine and measuring how much they deflect from a
straight line.
Plotted on a
graph, the speed
of a procrastinator's work is a
straight line, rising as the deadline gets closer.
Plotting a
graph with suitable combinations
of these variables on the two axes, the researchers traced a
straight line that coincided almost perfectly with the experimental data points.
It includes examples to work through on: Finding the radius from the equation
of a circle (e.g. find radius
of x ² + y ² = 16) Drawing a circle from its equation Finding the equation
of a circle when drawn onto an axis Estimate solutions (from
graphing) where a circle crosses a
straight line It then has one - slide
of questions which will allow pupils to practice the above topics.
Requires knowledge
of plotting
straight line graphs and solving simultaneous equations.
For example, the function A = s2 giving the area
of a square as a function
of its side length is not linear because its
graph contains the points (1,1), (2,4) and (3,9), which are not on a
straight line.»
The focus
of this lesson could be any
of the following: — Plotting
straight line graphs; — Rearranging equations; — Simultaneous equations; — Intersection
of straight lines; — What it means to «satisfy» an equation; — Implicit vs explicit equations.
Find the gradient, y - intercept and equation
of a
straight -
line graph.
(I would recommend altering the the order
of the slides in slide sorter before you start the presentation, which will ensure the random path is different each time) Topics covered: - Coordinates in 4 quadrants - Midpoints
of 2 coordinates - Equation
of a
line - Tables for
straight line graphs - Tables for quadratic
graphs - Turning points
of quadratic
graphs - Identifying harder
graphs - Distance time
graphs - Conversion
graphs
Draw the
straight -
line graph of an equation
of the form ax + by = c. Draw the
straight -
line graph of 2 equations
of the form ax + by = c
Find the equation and point
of intersection
of 2
straight -
line graphs.
I hope this helps explain the process - and maybe others could suggest other ways to cover linear equations or
graphing straight lines - I certainly used to use sport scores (Australian Rules football has a nice scoring system that uses the formula P = 6g + b) and contexts where there were fixed and variable charges such as taxi fares and work contexts where there are fixed and variable rates
of payments.
objectives include: Year 6 objectives • solve problems involving the calculation and conversion
of units
of measure, using decimal notation up to 3 decimal places where appropriate • use, read, write and convert between standard units, converting measurements
of length, mass, volume and time from a smaller unit
of measure to a larger unit, and vice versa, using decimal notation to up to 3 decimal places • convert between miles and kilometres • recognise that shapes with the same areas can have different perimeters and vice versa • recognise when it is possible to use formulae for area and volume
of shapes • calculate the area
of parallelograms and triangles • calculate, estimate and compare volume
of cubes and cuboids using standard units, including cubic centimetres (cm ³) and cubic metres (m ³), and extending to other units [for example, mm ³ and km ³] • express missing number problems algebraically • find pairs
of numbers that satisfy an equation with 2 unknowns • enumerate possibilities
of combinations
of 2 variables • draw 2 - D shapes using given dimensions and angles • recognise, describe and build simple 3 - D shapes, including making nets • compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons • illustrate and name parts
of circles, including radius, diameter and circumference and know that the diameter is twice the radius • recognise angles where they meet at a point, are on a
straight line, or are vertically opposite, and find missing angles • describe positions on the full coordinate grid (all 4 quadrants) • draw and translate simple shapes on the coordinate plane, and reflect them in the axes • interpret and construct pie charts and
line graphs and use these to solve problems • calculate and interpret the mean as an average • read, write, order and compare numbers up to 10,000,000 and determine the value
of each digit • round any whole number to a required degree
of accuracy and more!
Students are provided with structure to facilitate plotting
straight line graphs of implicit equations.
Worksheet
of KS3 questions based on Algebra - Level 5 - Plotting
straight line graphs y = mx + c Good in class as a worksheet for consolidation, workin...
Seeing as we are now experts with
straight line graphs, this week we look at how we can use Autograph to study Scatter Diagrams,
Lines of Best Fit and Correlations.
By using
straight -
line graphs to compare the price difference
of two mobile phone deals, this area
of KS4 maths is effectively illustrated.
How does a
straight line graph equation get higher priority
of recollection and retention over all the other info they have outside
of schools that's tailored to make them want it more and presses the right buttons in their brain to get engagement?
The pack includes a set
of maths starters, 5 sets
of exam questions (on Number, Fractions, Negative Numbers, Percentages and Factors), 4 worksheets (on Linear Equations, Factors,
Straight Line Graphs and Fractions, Decimals and Percentages), 2 Powerpoint full lessons (Translations
of Shapes and Compound Shapes) and a glossary
of all the terminology used in the course.
Topics included are: Expanding Brackets, Collecting Like Terms, Simplifying and Writing Expressions, Solving Linear and Quadratic Equations, Factorising (Linear and Quadratic), Simultaneous Equations (Normal and Graphical), Sequences, Nth Term, Substitution, Formulae,
Graphs, Quadratic Formula, Trial and Improvement, Inequalities, Algebraic Fractions, Laws
of Indices,
Straight Line Graphs.
A pack for an entire lesson
of differentiated
straight line linear
graphs worksheets aimed at KS3 - KS4.
This is a progression test with 8 different exercises
of chapters: Areas
of triangles and Parallelograms Formulas Reflections, Translations and Rotations Linear Equations
Straight Line Graphs Curved
Graphs I hope you find it useful.
Learn how to draw the
graph of a
straight a
line.
You can stick to plotting
straight line or quadratic
graphs if you like but it does also have the functionality
of plotting in 3D too.
After working out their table
of values and plotting the
straight line graph they are given questions that assess their ability to interpret the
graph.
As you can see from the
graph, time erosion
of options premium is not linear (i.e. it does not occur in a
straight line).
As you can see in the relatively
straight line of the
graph, there was no «silver bullet» that made our mortgage go away; instead, our success in paying off our mortgage early came from consistent planning, budgeting and focusing every dollar available (within reason) to paying the mortgage off.
Graphically, it shows that the dog wanders around quite a bit at the end
of his leash, to the left and the right, on our
graph — up and down, while the owner is walking a
straight line, generally going to the right and up across the
graph at a specific angle.
You've likely seen the
graph of the Earth's average global temperature over the past 2000 years... it's mostly a
straight line until you get to the industrial revolution and then it shoots up.
All this Global Warming if you plot it on a
graph with the vertical y - axis incremented in whole degrees you could free hand a
straight line starting from the end
of the Little Ice Age all the way to the current day and see there has been no dramatic global average temperature change since the turn
of the 19th century.
If I go out and measure something, anything, and plot the points
of a piece
of graph paper, and the points may lie on a
straight line, some sort
of curve, or there may be so much noise in the data that no trend is apparent, then this is what fits the data.
But if you look at 65 - year climate since 1868 plotted against rising CO2 forcing, making the appropriate allowance for variations in heat from the Sun during that period, you get a perfectly
straight line heading upwards at a rate
of 1.73 °C per doubling
of CO2, as can be seen from this
graph.
The
graph shows a
straight -
line «shaft»
of the stick representing 900 years
of stable global temperature, followed by a sharp upturned blade representing the 20th century temperature rocketing up and out the top right - hand corner.
Look at the Kaufman et al. temperature
graph in my article.It shows a couple
of slight warmings as well as a slight cooling for LIA but a
straight line for 2000 years is a reasonable overall approximation to it.
A complete and accurate explanation
of why the the warming
of the Earth surface has taken the shape (in
graphs)
of approximately the sine +
straight line is not available.
The second
graph actually has a
straight line running from 1910 to 2010 and the rate
of change does not suddenly increase post 1940 / 1945/1950 (whenever it is claimed that the rapid rise in anthropogenic CO2 emissions took place).
From 1992 to 2002, [the
graph of the sea level] was a
straight line, variability along a
straight line, but absolutely no trend whatsoever.
If on the first
graph, one were to put a
straight line fit for a 35 year period between 1908 to 1943 (ie., before substantial manmade CO2 emissions) and another
straight line fit for a 35 year period between 1960 and 1995 (ie., when manmade emissions are said to be significant), those
lines would run parallel to one another and the gradient
of the later
line would not be steeper than the gradient
of the earlier
line thereby suggesting that the data does not show an increased rate
of warming during the period when there was anthropogenic CO2 emissions.
-- Are you tired
of seeing your profit
graphs go
straight lined?