Myths about teaching can hold you back
- Year 11•
- Foundation
Fluency in arithmetic procedures with vectors
I can carry out arithmetic procedures on vectors and draw the resultant vector.
- Year 11•
- Foundation
Fluency in arithmetic procedures with vectors
I can carry out arithmetic procedures on vectors and draw the resultant vector.
Lesson details
Key learning points
- More than one operation may be seen.
- Priority of operations still apply.
- Constructing all the vectors can help when checking the resultant is correct.
Keywords
Vector - A vector can be used to describe a translation.
Displacement - Displacement is the distance from the starting point when measured in a straight line.
Resultant vector - A resultant vector is the single vector that produces the same effect as a combination of other vectors.
Common misconception
When using operations with vectors, pupils do not use the priority of operations.
The priority of operations applies to all calculations.
To help you plan your year 11 maths lesson on: Fluency in arithmetic procedures with vectors, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Fluency in arithmetic procedures with vectors, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Vectors unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
Loading...
Prior knowledge starter quiz
6 Questions
Q1.Which of the following statements about a scalar quantity is correct?
Q2.The vector $$k {2 \choose 4}$$ represents the displacement A to B. The value of $$k$$ is .
Q3.The diagram shows the vector a. Which of the following shows −0.25a?
Q4.Match each scalar and vector to the resultant vector.
$$3{12\choose8}$$ -
$$36\choose 24$$
$$-6{-6\choose4}$$ -
$$36\choose -24$$
$$2{-18\choose-12}$$ -
$$-36\choose -24$$
$$-3{12\choose-8}$$ -
$$-36\choose 24$$
Q5.You are given that $$-3 {4 \choose -6}= {a \choose b}$$ . Find the value of $$a$$ and of $$b$$.
Q6.You are given that $$x {8 \choose y}={24 \choose -15}$$. Find the value of $$x$$ and of $$y$$.
Assessment exit quiz
6 Questions
Q1.The distance from the starting point when measured in a straight line is called the .
Q2.Find the resultant vector of $$3 {2\choose -3}+4{-1 \choose 2}$$.
Q3.Find the resultant vector of $$3 {2\choose -3}-4{-1 \choose 2}$$.
Q4.You are given that $$5 {-1\choose 2}- a{-2 \choose 4} = {1 \choose -2}$$ . The value of $$a$$ is .
Q5.Which of these diagrams can be used to illustrate $$4{3\choose -2}+2 {-4 \choose -1}$$?
Q6.You are given that $$2 {-1\choose5}+k{2 \choose-3} = {4 \choose y}$$. The value of $$y$$ is .