wyvern college mathematics department key stage … · wyvern college mathematics department wyvern...

Wyvern College Mathematics Department

Wyvern College

Mathematics Department

Key Stage 3

Year 7 Learning Objectives


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


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.


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

http://nrich.maths.org/7405

































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


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


















































































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


Exploring simple mappings http://nrich.maths.org/6951










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


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









http://nrich.maths.org/4832/index

















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.


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











































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


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










































































































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


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


























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


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


















































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


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


































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


Olympic records http://nrich.maths.org/7489










BIDMAS

Level Objective

5 Use order of operations including powers and brackets


Make 100 http://nrich.maths.org/1013










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


Fractions jigsaw http://nrich.maths.org/5467

Peaches today, peaches tomorrow http://nrich.maths.org/2312

Diminishing returns http://nrich.maths.org/6700

http://nrich.maths.org/5467/

























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


Nice and nasty http://nrich.maths.org/6605










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


Charting success http://nrich.maths.org/6605










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


M, M and M http://nrich.maths.org/6267

Searching for mean(ing) http://nrich.maths.org/6345


















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


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


























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


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


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


























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


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


Shady symmetry http://nrich.maths.org/1868

Reflecting squarely http://nrich.maths.org/1840

Other activities:

Rangoli designs

Making symmetrical patterns from Hammabeads


















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


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


Matching fractions decimals percentages http://nrich.maths.org/1249










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


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


































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


































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

wyvern college mathematics department key stage … · wyvern college mathematics department wyvern...

Documents