Unit 7
Indices and Transformations
Intent
The intention of this unit is to secure and build upon knowledge from Key Stage 2 and Year 7 and to introduce new concepts that lay the foundations of key concepts that will underpin units in Year 9 such as
Use of all 4 transformations on a coordinate grid
Numerical notation, including standard form and use of indices
Implementation
For each strand in the unit students begin with lessons refreshing Year 7 knowledge before new concepts are introduced. At the end of each strand there are revision and mastery lessons to consolidate and ensure all students have picked up on new ideas.
From the 3rd week of the unit students will complete a weekly knowledge check so they can measure how their knowledge and expertise is building before the test.
During this unit there will be two longer written homework tasks which include a skills check as well as problem solving questions. Students will have an opportunity to follow-up and improve their work.
Impact
The impact of this unit of work will be measured through a 45 minute written assessment. The assessment will feature questions similar to the skills check and homework tasks. The assessment will cover every aspect of the unit of work and using the knowledge organiser together with this website is a great way to prepare for the test.
Topics covered in this unit:
Star / Star*
21n Identify the place value of a digit in a decimal number
14n Multiplying or dividing by 10, 100 or 1000
24n Put decimals in order and round to decimal places
58n Rounding to significant figures
32n Use a written method to multiply decimals
14s Plotting and reading coordinates in the first quadrant
19s Reflect simple shapes in a mirror line or translate a shape on a grid
Core
35n Find the HCF by listing factors or LCM by listing multiples
36n Identify prime numbers and checking if a number is prime
53n Write a number as a product of primes using a factor tree and know that this product is unique
54n Using a Venn diagram with prime factors to evaluate HCF of bigger numbers
55n Using a Venn diagram with prime factors to evaluate LCM of bigger numbers
33n Evaluating powers and roots and identifying square or cube numbers
44n Using a calculator correctly with powers, roots and division
47n Using the three index laws with whole numbers
57n Converting large numbers to and from standard form
63n Converting small numbers to and from standard form
64n Calculate with numbers in standard form using a calculator
25s Plotting and reading coordinates in all 4 quadrants
46s Work out the midpoint between two coordinates
20s Draw all the lines of symmetry on 2D shapes
48s Translate a shape by a vector on a coordinate grid and describe a translation
54s Rotate a shape from a given centre on a coordinate grid and fully describe a rotation