In S1, we look to cover a variety of topics and get students to display their abilities in a number of different ways. In particular, we look to build enjoyment in Maths through a combination of independent study, group work and project-based learning.
We want our students to:
· Enjoy coming to maths lessons.
· Develop skills in both numeracy and mathematics that will aid their future lives.
· Be able to challenge their understanding of what they know and love learning new ideas.
· Work collaboratively with their classmates to problem solve and present their ideas to others.
· Develop creativity in mathematics.
Here is an overview of the S1 course, with further details and resources on each topic below:
Homework is set fortnightly throughout the year to allow students to recap key ideas in class and gain extra independent practise. This is set through the Dr Frost Maths website. Pupils can login with their Edubuzz emails and the password 'password' (unless they change it themselves).
Please click on the links to the left to access either Dr Frost Maths or a help video by Mr Harpham to understand the platform better.
Homework assignments are also posted on Google Classroom and there are many good textbook resources on this platform.
Statistics
• I can collect or source data, using technology where appropriate.
• I can calculate the mean, median, mode and range for any given set of data.
• I can analyse my data and draw conclusions.
• I can describe a variety of ways to organise and display data.
• I can accurately draw:
- Bar Graphs, Histograms and Line Graphs
- Pie Charts
• I can conduct my own research, collecting, analysing and presenting my data (Smarties project)
Place Value
• I can write/read numerals up to 1,000,000.
• I can describe the value of whole number digits and decimal tenths, hundredths and thousands.
• I can order and sequence a range of numerals including negative numerals and decimals.
• I can identify < and > using whole numbers and decimals.
• I can estimate where to place given numerals to at least 1,000,000 on an Empty Number Line
• I can count forward and back by 1000s, 100s, 10s and 1s on and off the decuple and centuple to at least 1,000,000
• I can round numbers to the nearest whole number and nearest tenth, hundredth or thousandth
Addition and Subtraction
• I can use Split Strategies to add.
• I can use Compensation techniques to add and subtract.
• I can use the commutative relationship to add and subtract mentally.
• I can use Empty Number Lines to add and subtract.
• I can use formal strategies (vertical calculations) to solve addition and subtraction tasks to 1,000,000.
• I can solve word problems either mentally, with an algorithm or using a visual representation.
Multiplying
• I can multiply whole numbers mentally by 10, 100 and 1000.
• I can multiply 2 or 3 digit numbers mentally by 2, 4, 5 and 10 mentally.
• I can multiply whole numbers mentally by multiples of 10, 100 and 1000.
• I can use a formal algorithms (area model or other) to solve multiplication tasks.
• I can multiply a 2 digit number by a 2 digit number using a formal algorithm.
Applications
• I can use my knowledge of the four operations to calculate the area of a given regular 2D shape, excluding the circle.
• I can use my knowledge of multiplication and area to calculate the volume of a prism
Dividing
• I can divide whole numbers mentally by 10, 100 and 1000.
• I can use mental strategies to solve division tasks.
• I can divide whole numbers by multiples of 10, 100 and 1000
• I can use formal algorithms to solve division tasks.
Factors, Multiples and Primes
• I can apply my knowledge of multiplication facts to allow me to find the multiples of any given number.
• I can find the lowest common multiple with two or more given numbers.
• I can apply my knowledge of multiplication or division facts to find the factors of any given number.
• I can find the highest common factor with two or more given numbers.
• I can identify the prime numbers to 100.
Power and Roots
• I can identify square numbers.
• I can find the square root of a given number.
• I can identify the power, exponent and index.
• I can write a given whole number using powers (e.g. 9 = 32)
Place Value: Second Level- https://www.bbc.co.uk/bitesize/topics/zsjqtfr
Third Level- https://www.bbc.co.uk/bitesize/topics/zmjpn9q/articles/z8f9r2p#zdmjdp3
Rounding: https://www.bbc.co.uk/bitesize/topics/zh8dmp3
Addition and subtraction: https://www.bbc.co.uk/bitesize/topics/zy2mn39
Multiplication and Division: https://www.bbc.co.uk/bitesize/topics/z36tyrd
Factors, Multiples and Primes: https://www.bbc.co.uk/bitesize/topics/zfq7hyc
Power and Roots: https://www.bbc.co.uk/bitesize/topics/ztqmhyc (not laws of indices at S1)
Fractions
· I can model fractions using Cuisenaire rods
· I can identify equivalent fractions
· I can write fractions in their simplest form
· I can order fractions with different denominators by size
· I can explain the difference between a mixed number and improper fractions
· I can convert between mixed numbers and improper fractions
· I can find a unitary fraction of an amount
· I can find a non-unitary fraction of an amount
· I can answer fractions problems in context
Decimals
· I can identify the value of any digit within a number, including decimal places
· I can round to a given number of decimal places
· I can choose decimals that will add to make a whole number
· I can use split strategies to add and subtract decimals
· I can use compensation techniques to add and subtract decimals
· I can add and subtract decimals with the same number of decimal places
· I can add and subtract decimals with a different number of decimal places
· I can multiple a decimal by a single digit whole number
· I can use the grid method to multiply more complicated decimals
· I can divide decimals by a whole number using the bus stop method
Percentages
· I can represent any percentage with shading on a 100-square
· I can describe any percentage as a fraction
· I can find common percentages (1%, 5%, 10%, 25%, 50%) of amount [all possible with only ÷2 and ÷10]
· I can find any percentage of an amount by using common percentages (10% and 1%) [including 100+%]
· I can calculate percentage increase and decrease
· I can solve percentage problems in context
Financial Maths
· I can calculate profit and loss
· I can make a budget and determine if I am in credit or debit
· I can use percentage discounts to work out sale prices
· I can calculate total costs by including VAT or other surcharges
· PROJECT I can plan a trip on a given budget
Time
• I can identify when given quantities are related (e.g. Speed, Distance and Time) and can increase or decrease these proportionally as appropriate
• I can calculate time durations across hours and days.
Coordinates
• I can plot and describes a location point on a grid using coordinates in all quadrants of the Cartesian diagram
Time: https://www.bbc.co.uk/bitesize/topics/zkfycdm
Co-ordinates: https://www.bbc.co.uk/bitesize/topics/zgthvcw (not translating and reflecting here)
Angles
• I can use the correct notation for naming an angle. (e.g. ∠ABC)
• I can use my protractor to create angles and then label them using the correct notation.
• I can use scale and compass points when using a map.
• I can describe complimentary and supplementary angles, and use this to calculate missing angles.
• I can apply my understanding of the four operations in number alongside the angle properties of triangles to find missing angles.
• I can find missing angles in vertically opposite diagrams
Symmetry
• I can identify all lines of symmetry in a given 2D shape.
• I can create symmetrical patterns and pictures, demonstrating an understanding of reflection and rotational symmetry.
Transformations
• I can translate a shape.
• I can identify when a given 2D shape will tessellate, and for those that will, I can create a tessellation involving one or more 2D shapes (Tessellation project)
Angles: https://www.bbc.co.uk/bitesize/topics/zb6tyrd
Symmetry: https://www.bbc.co.uk/bitesize/topics/zrhp34j
Transformations: https://www.bbc.co.uk/bitesize/topics/z2dqrwx
Fractions
· I can identify equivalent fractions
· I can write fractions in their simplest form
· I can explain the difference between a mixed number and improper fractions
· I can convert between mixed numbers and improper fractions
· I can add and subtract fractions with the same denominator
· I can add and subtract fractions with the same denominator
· I can add and subtract fractions with different denominators
· I can answer fractions problems in context
Ratio
· I can express ratios in written form using the ratio notation (e.g. 2:3)
· I can simplify rations
Chance and Uncertainty
I can use the probability scale of 0 to 1 showing probability as a fraction or decimal fraction
I can demonstrate understanding of the relationship between the frequency of an event happening and the probability of it happening.
I can use a given probability to calculate an expected outcome, for example, ‘the probability of rain in June is 0·25 so how many days do we expect it to rain?’.
I can calculate the probability of a simple event happening, for example, ‘what is the probability of throwing a prime number on a 12 sided die?’.
I can identify all of the mutually exclusive outcomes of a single event and calculates the probability of each.
I can investigate real-life situations which involve making decisions on the likelihood of events occurring and the consequences involved.
Probability: https://www.bbc.co.uk/bitesize/topics/zgf3cdm
Algebra
I can explain what a variable is.
I can solve simple one step equations
e.g. 5x = 20
I can apply my understanding of balancing an equation by performing operations on both sides
e.g. 3x + 1 = 10
I can collect like terms, involving single terms
e.g. 5x + 4y + 2x = 7x + 4y
I can evaluate an expression using substitution
e.g. if a = 3, evaluate 2a + 7
if a = 2, b = -3, evaluate 3a + 2b
I can interpret a given problem and create a linear equation to model it.
I can apply my understanding of the four operations in number to solve two-step linear equations
e.g. 2x + 1 = 5
I can solve simple inequations
e.g. 2x -3 > 1
I can identify the term to term rule of a sequence
I can identify missing terms in a sequence
Algebra Expressions: https://www.bbc.co.uk/bitesize/topics/z9yb4wx
Algebra Solving: https://www.bbc.co.uk/bitesize/topics/z83rkqt
Algebra Sequences: https://www.bbc.co.uk/bitesize/topics/zwg4d2p
Measure
I can accurately estimate the size of familiar objects using standard units
I can evaluate the impact the difference between my estimate and the actual measurement may have.
I can compare between imperial units and standard metric units.
I can calculate the area of 2D shapes including triangles and compound shapes using cm2 and m2.
I can use my knowledge of the four operations, applying algorithms where appropriate, to calculate the area of a given regular 2D shape, excluding the circle.
I can calculate the perimeter of 2D shapes including triangles and compound shapes using cm and m.
I can draw shapes with the same perimeter but different areas.
I can draw shapes with a particular perimeter or area to solve real life problems
I can use my knowledge of multiplication and area to calculate the volume of a prism
I can change between different units, including where the units are inconsistent, in any 2D area or 3D volume problem
Geometry
I can identify and describe 2D shapes and 3D objects using the following: radius, diameter, circumference, right-angled, polygon and quadrilateral.
I can recognise different types of triangles by their properties (sides, angles, symmetry) and use the correct names (equilateral, isosceles, scalene).
I can explain the terms regular and irregular.
I can select the most appropriate mathematical instrument to accurately draw any triangle.
I can draw circles with given radius or diameter.
I can link nets to their 3D shape such as cuboids, cubes, cylinders, pyramids and prisms.
I can draw simple 3D objects.
I can discuss the purpose of specific shapes within the environment (e.g. triangles in bridges) and can demonstrate my understanding of the function of certain shapes by solving practical design challenges
Angles: https://www.bbc.co.uk/bitesize/topics/zdr9wmn
Area/Perimeter/Volume: https://www.bbc.co.uk/bitesize/topics/zrf3cdm
2D and 3D shapes: https://www.bbc.co.uk/bitesize/topics/zwckjxs