Wyvern College Mathematics Department
Wyvern College
Mathematics Department
Key Stage 3
Year 7 Learning Objectives
Wyvern College Mathematics Department
Year 7 Learning Units
In year 7 your will cover the following learning units in your mathematics lessons:
Year 7 Learning Unit Year 7 Learning Unit
Policies and Four Operations Displaying Data
Number Patterns Averages
Function Machines Area and Perimeter
Introduction to Geometry Multiplication and Division with
Decimals
Probability Metric Units
Factors and Indices Angles and Parallel Lines
Directed Numbers Symmetry
Introduction to Algebra More Fractions
Coordinates Percentages
Scatter Graphs More Algebra
BIDMAS Volume
Fractions Constructing Triangles
Introduction to Decimals
Wyvern College Mathematics Department
Year 7 Learning Unit Objectives On these pages you will be able to see what learning objectives you need to meet in each learning unit to reach your target level. There
are also links to enrichment activities that you can do in your spare time to apply your learning to solve problems.
Wyvern College Mathematics Department
Four Operations
Level Objective
3 Derive division facts from known multiplication facts
3 Add and subtract 2 digit numbers mentally
3 Add and subtract 3 digit numbers using the column method
3 Multiply 2 digit numbers by single digit numbers using the Gelosia method
3 Solve whole number problems including addition and subtraction and those involving multiplication
and division that may give rise to remainders
4 Recall multiplication facts up to 10 x 10 and quickly derive corresponding division facts
4 Use efficient written methods of addition and subtraction for all whole numbers using column
methods.
4 Use Gelosia method to multiply all whole numbers
4 Use short division to divide all whole numbers
Enrichment NRich activities:
What numbers can we make? http://nrich.maths.org/7405
What numbers can we make now? http://nrich.maths.org/8280
Consecutive seven http://nrich.maths.org/2661
Countdown http://nrich.maths.org/6499
Wyvern College Mathematics Department
Number Patterns
Level Objective
Support Recognise odd and even numbers
4 Recognise and describe number patterns.
4 Recognise square, cube and triangle numbers
4 Recognise the Fibonacci Sequence and Pascal’s Triangle
5 Recognise and extend number patterns and sequences
6 Generate terms of a sequence using term to term rules
Enrichment NRich activities:
Sissa’s reward http://nrich.maths.org/1163
Filling the gaps http://nrich.maths.org/7547
Generating triples http://nrich.maths.org/7282
Odds, evens and more evens http://nrich.maths.org/7529
Shifting times tables http://nrich.maths.org/6713
Triangle numbers http://nrich.maths.org/5525
Summing consecutive numbers http://nrich.maths.org/507
Picturing square numbers http://nrich.maths.org/2275
Squares in rectangles http://nrich.maths.org/4835
Picturing triangle numbers http://nrich.maths.org/2274
Wyvern College Mathematics Department
Function Machines
Level Objective
4 Derive the output of single and double function machines given the input
4 Find the rule of a function machine given the input and output values
4 Form an expression for the output of single and double function machines
5 Derive the input of single and double function machines given the output
Enrichment NRich activities:
Exploring simple mappings http://nrich.maths.org/6951
Wyvern College Mathematics Department
Introduction to Geometry
Level Objective
3 Name the different types of angle
4 Accurately estimate, measure and draw angles
5 Know and use angle facts to solve problems including, angles around a point, angles on a straight
line, angles in a triangle, angles in a quadrilateral and vertically opposite angles
5 Know and use angle facts to solve problems involving isosceles, equilateral triangles and exterior
angles of triangles
Enrichment NRich activities:
Which solids can we make? http://nrich.maths.org/7306
Semi-regular tessellations http://nrich.maths.org/4832
Triangles in circles http://nrich.maths.org/2844
Wyvern College Mathematics Department
Probability
Level Objective
3 Use words to describe the probability of an event happening
5 Understand and use the probability scale from 0 to 1
5 Select methods based on equally likely outcomes and experimental outcome, as appropriate
6 Find and record all possible mutually exclusive outcomes for single events and two successive
events in a systematic way
6 Know that the sum of probabilities of all mutually exclusive outcomes is 1 and use this when solving
problems.
Enrichment NRich activities:
Sociable cards http://nrich.maths.org/7219
What does random look like? http://nrich.maths.org/7250
Odds and evens http://nrich.maths.org/4308/index
Non-transitive dice http://nrich.maths.org/7541
Interactive spinners http://nrich.maths.org/6033
Wyvern College Mathematics Department
Factors and Indices
Level Objective
4 Recognise and describe number relationships including multiples, factors, squares, cubes and
primes
5 To be able to write and find the value of numbers in index form
5 Write a number as a product of its prime factors
5 Find the HCF and LCM of pairs of number using prime factor form and Venn diagram method
6 Word problems involving HCF and LCM
Enrichment NRich activities:
Sieve of Eratosthenes http://nrich.maths.org/7520
How much can we spend? http://nrich.maths.org/6650
Dozens http://nrich.maths.org/559
Factors and multiples game http://nrich.maths.org/5468
Factors and multiples puzzle http://nrich.maths.org/5448
Counting cogs http://nrich.maths.org/6966
Stars http://nrich.maths.org/2669
Power mad! http://nrich.maths.org/6401
14 divisors http://nrich.maths.org/480
Take three from five http://nrich.maths.org/1866
Differences http://nrich.maths.org/602
Product sudoku http://nrich.maths.org/4903
Funny factorisation http://nrich.maths.org/740
Wyvern College Mathematics Department
Directed Numbers
Level Objective
3 Recognise negative numbers in contexts such as temperature
5 Calculate with negative numbers in contexts such as temperature
5 Adding and subtracting directed numbers
5 Multiplying and dividing directed numbers
Enrichment NRich activities:
Consecutive negative numbers http://nrich.maths.org/5868
Adding and subtracting positive and negative numbers http://nrich.maths.org/5947
Weights http://nrich.maths.org/5958
Wyvern College Mathematics Department
Introduction to Algebra
Level Objective
Support Find the missing whole number represented by a box or symbol in problems using all four
operations
5 Simplify algebraic expression by collecting like terms
5 Solve one step linear equations
6 Solve two step linear equations
6 Formulate and solve linear equations from contextual problems
7 Solving linear equations with unknowns on both sides
Enrichment NRich activities:
Number pyramids http://nrich.maths.org/2281
Crossed ends http://nrich.maths.org/6261
More number pyramids http://nrich.maths.org/2282
Perimeter expressions http://nrich.maths.org/7283
Special numbers http://nrich.maths.org/2129
Your number was http://nrich.maths.org/7216
Wyvern College Mathematics Department
Coordinates
Level Objective
4 Use interpret coordinates in the first quadrant
5 Use and interpret coordinates in all 4 quadrants
5 Solve problems involving missing coordinates of shapes
5 Find the midpoint of a line segment
Enrichment NRich activities:
Square coordinates http://nrich.maths.org/2667
Cops and robbers http://nrich.maths.org/6288
Coordinate patterns http://nrich.maths.org/2292
Routes to infinity http://nrich.maths.org/5469
Wyvern College Mathematics Department
Scatter Graphs
Level Objective
Support Use and interpret coordinates in the first quadrant
Support Use and interpret coordinates in all four quadrants
6 Plot and interpret scatter diagrams
6 Draw a line of best fit on a scatter diagram and use to estimate
6 Understand the different types and strengths of correlation
Enrichment NRich activities:
Olympic records http://nrich.maths.org/7489
Wyvern College Mathematics Department
BIDMAS
Level Objective
5 Use order of operations including powers and brackets
Enrichment NRich activities:
Make 100 http://nrich.maths.org/1013
Wyvern College Mathematics Department
Fractions
Level Objective
3 Use and shade simple fractions that are several parts of a whole and recognise when two simple
fractions are equivalent.
5 Use equivalence between fractions and order fractions by size
5 Simplify fractions by cancelling down
5 Add and subtract fractions with a common denominator
5 Finding a fraction of a quantity
5 Convert between mixed numbers and improper fractions
5 Use the ab/c button on a calculator to solve fraction problems confidently
6 Add and subtract fractions without a common denominator
7 Add and subtract mixed numbers
Enrichment NRich activities:
Fractions jigsaw http://nrich.maths.org/5467
Peaches today, peaches tomorrow http://nrich.maths.org/2312
Diminishing returns http://nrich.maths.org/6700
Wyvern College Mathematics Department
Introduction to Decimals
Level Objective
3 Begin to use decimal notation in contexts such as money
4 Order decimals to 3 decimal places
5 Adding and subtracting decimals to two decimal places using column methods including
problems in context
5 Convert fractions to decimals when the denominator is a power of 10 and vice versa
5 Use understanding of place value to multiply and divide whole numbers and decimals by 10, 100
and 1000
Enrichment NRich activities:
Nice and nasty http://nrich.maths.org/6605
Wyvern College Mathematics Department
Displaying Data
Level Objective
3 Construct bar charts and pictograms, where the symbol represents a group of units
3 Extract and interpret information presented in simple tables, lists, bar charts and pictograms
4 Collect and record discrete data
4 Group data in equal class intervals
5 Interpret graphs and diagrams, including pie charts and draw conclusions
6 Construct pie charts for categorical data
7 Construct a frequency polygon
Enrichment NRich activities:
Charting success http://nrich.maths.org/6605
Wyvern College Mathematics Department
Averages
Level Objective
4 Understand and use the mode and range to describe sets of data
5 Understand and use the mean of discrete data and compare two simple distributions, using the
range and one of mode, median or mean
6 Identify the positives and negatives of each measure of average and choose the most
appropriate measure to be used
Enrichment NRich activities:
M, M and M http://nrich.maths.org/6267
Searching for mean(ing) http://nrich.maths.org/6345
Wyvern College Mathematics Department
Area and Perimeter
Level Objective
4 Find perimeters of simple shapes and find areas by counting squares
5 Understand and use the formula for a rectangle and distinguish between area and perimeter
6 Deduce and use formulae for the area of a triangle and a parallelogram
7 Calculate areas and perimeters of compound shapes
Enrichment NRich activities:
Changing areas, changing perimeters http://nrich.maths.org/7534
Can they be equal? http://nrich.maths.org/6398
Fence it http://nrich.maths.org/2663
Wyvern College Mathematics Department
Multiplication and Division with Decimals
Level Objective
Support Use Gelosia method to multiply all whole numbers
Support Use short division to divide all whole numbers
5 Multiply whole numbers by decimals using the Gelosia Method
5 Multiply two decimals using the Gelosia Method
5 Divide a decimal by a whole number
6 Divide any number by a decimal
7 Understand the effect of multiplying and dividing by numbers between 0 and 1
Enrichment
Wyvern College Mathematics Department
Metric Units
Level Objective
3 Use standard metric units of length capacity and mass in a range of contexts
3 Use standard units of time
4 Choose and use appropriate units and instruments
5 Solve problems involving the conversion of metric units and make sensible estimates of a range
of measures in relation to everyday situations
5 Learn simple metric to imperial unit conversions
Enrichment NRich activities:
Place your orders http://nrich.maths.org/7500
Thousands and millions http://nrich.maths.org/6046
All in a jumble http://nrich.maths.org/5994
Wyvern College Mathematics Department
Angles and Parallel Lines
Level Objective
Support Name the types of angle
Support Accurately estimate, measure and draw angles
Support Know and use angle facts to solve problems including, angles around a point, angles on a
straight line, angles in a triangle, angles in a quadrilateral and vertically opposite angles
3 Identify and construct parallel lines
6 Identify Alternate, Co-interior and Corresponding angles.
6 Solve geometrical problems using properties of angles, of parallel and intersecting lines
6 Understand a proof that a sum of angles in a triangle is 180 degrees, and of a quadrilateral is 360
degrees
Enrichment
Wyvern College Mathematics Department
Symmetry
Level Objective
3 Identify lines of symmetry
4 Reflect simple shapes in a mirror line
4 Complete tessellations and understand why some shapes do not tessellate
5 Identify all the line and rotational symmetries of 2D shapes
6 Identify planes of symmetry in 3D shapes
Enrichment NRich activities:
Shady symmetry http://nrich.maths.org/1868
Reflecting squarely http://nrich.maths.org/1840
Other activities:
Rangoli designs
Making symmetrical patterns from Hammabeads
Wyvern College Mathematics Department
More Fractions
Level Objective
Support Use and shade simple fractions that are several parts of a whole and recognise when two
simple fractions are equivalent
Support Convert between mixed numbers and improper fractions
6 Multiply and divide a whole number by a fraction and vice versa
7 Multiply and divide two fractions
7 Multiply and divide mixed numbers
Enrichment
Wyvern College Mathematics Department
Percentages
Level Objective
4 Recognise approximate proportions of a whole and use simple fractions and percentages to
describe these
4 Converting well known fractions, decimals and percentages
4 Find 50%, 25%, 75% and 10% of whole numbers
5 Find any percentage of a number with and without a calculator
6 Find the outcome of a given percentage increase or decrease
6 Use the equivalence of fractions, decimals and percentages to compare proportions
Enrichment NRich activities:
Matching fractions decimals percentages http://nrich.maths.org/1249
Wyvern College Mathematics Department
More Algebra
Level Objective
Support Simplify algebraic expression by collecting like terms
Support Solve one step equations
Support Solve two step equations
5 Construct, express in symbolic form, and use simple expressions
5 Multiplying algebraic terms by a number
5 Expand single brackets and simplify by collecting like terms
6 Solve linear equations involving brackets
7 Multiply algebraic terms using indices
7 Expand double brackets and simplify by collecting like terms
Enrichment NRich activities:
Your number is http://nrich.maths.org/2289
Number pyramids http://nrich.maths.org/2281
Crossed ends http://nrich.maths.org/6261
Perimeter expressions http://nrich.maths.org/7283
Wyvern College Mathematics Department
Volume
Level Objective
Support Find perimeters of simple shapes and find areas by counting squares
Support Understand and use the formula for a rectangle and distinguish between area and
perimeter
Support Deduce and use formulae for the area of a triangle and a parallelogram
4 Calculate volume of 3D shapes by counting cubes
6 Calculate the volume of cuboids
7 Calculate the volume of prisms
Enrichment NRich activities
Cuboid challenge http://nrich.maths.org/6399
Painted cube http://nrich.maths.org/2322
Sending a parcel http://nrich.maths.org/2650
Growing rectangles http://nrich.maths.org/6923
Wyvern College Mathematics Department
Constructing Triangles
Level Objective
Support Measure the length of straight lines accurately using a ruler and construct straight lines of a
given length using a ruler
5 Accurately construct SAS ASA and SSS triangles
Enrichment