DE LA SALLE SCHOOL LEARNING PROGRAMME. YEAR 7 PI Pathway. Half Term 1a

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1 PI Pathway Half Term 1a Weeks 1 and 2: Pictograms Bar charts Bar line charts How can graphs be used to mislead readers in the media? frequency tally chart modal class consistency grouped data Grouped bar charts Weeks 3, 4 and 5: Mode and modal class Range and Median Mean Addition and Subtraction Multiplication Can I estimate how much something costs when I am shopping? average mode median mean range compare approximate integer estimate Weeks 6 and 7: Division Multiplying and dividing by 10, 100, 1000 Using the four operations Negative numbers Can I approximate an answer to check if the answer I have is sensible? approximate integer estimate ratio proportion sequence

2 THETA Pathway Half Term 1a Weeks 1 and 2: Averages and range Pictograms Bar charts Bar line charts Compound/dual bar charts questions that we will How can graphs be used to mislead in the media? average mode median mean range frequency discrete data continuous data tally chart interpret modal class consistency Weeks 3, 4 and 5: Grouping data Comparing averages Spreadsheets Mental maths Addition and Subtraction Using statistics to help us understand data? How does technology help us do maths? frequency discrete data continuous data tally chart interpret modal class consistency grouped data integer Multiplication Division Weeks 6 and 7: Time and Money Negative numbers Factors, multiples and primes Square and triangle numbers Do I understand how to use money correctly? Is that the best deal? estimate multiple factor prime integer estimate squares square roots

3 DELTA Pathway Half Term 1a Weeks 1 and 2: Two way tables and bar charts Averages and range Grouped data How can graphs be used to mislead in the media? primary and secondary data sample interpret sampling questionnaire random sample average mode median mean range frequency discrete data continuous data consistency grouped data PIXL Weeks 3, 4 and 5: More graphs Pie charts Scatter graphs and correlation Factors, primes and multiples How scatter graphs can spot a relationship between two variables. Correlation/Causation? frequency scatter graph correlation line of best fit estimate multiple factor prime prime factor decomposition highest common factor lowest common multiple PIXL Weeks 6 and 7: Using negative numbers Multiplying and dividing Squares and square roots Powers and roots integer index/indices roots square square root cube cubed root PIXL

4 Pi Pathway Half Term 1b Weeks 1 and 2: Functions Function machines Why learn algebra? expression like terms function expression Simplifying expressions Weeks 3, 4 and 5: Formulae Real life graphs Coordinates What do I need algebra for? expression like terms function expression formula/formulae expression substitute integer Weeks 6 and 7: Graphs of functions STEM: Scientific graphs When do I use formulae in real life? conversion graph graphs relationships How can a graph show relationships between quantities?

5 THETA Pathway Half Term 1b Weeks 1 and 2: Functions Simplifying expressions Formulae Using formulae When do I actually use formulae in real life? Why learn algebra? What do I need algebra for? Integer Input Output Term unkown expression like terms function expand substitute formula/formulae Weeks 3, 4 and 5: Decimals and rounding Length, mass and capacity Reading and using scales Coordinates What is a sensible answer? Is it 340m or 340km from St Helens to London? compare equivalent integer metric imperial unit/units capacity length mass Weeks 6 and 7: Working with decimals (mental/written) Perimeter and area Finding good strategies when doing mental maths. area perimeter metric imperial unit

6 DELTA Pathway Half Term 1b Weeks 1 and 2 Factors, primes and multiples Find the HCF and LCM of two numbers. Add, subtract, multiply and divide positive and negative numbers. Multiplying and dividing Use mental and written strategies for multiplication. Why is being proficient at calculating a desirable skill in most jobs? Multiple Factor HCF LCM Positive Negative Strategies Methods Weeks 3, 4 and 5 Multiplying and dividing Squares and square roots Use factorising to work out square roots and cube roots. Solve word problems using square roots and cube roots. How did we as a species start understanding complex things like square numbers. and why? Square numbers Square roots Cube roots Factorising Weeks 6 and 7 Estimate answers to complex calculations. Carry out calculations involving brackets. Why is estimating answers useful? Estimation Accuracy Order Operation

7 Pi Pathway Half Term 2a Weeks 1 and 2 Number rules and relationships Multiples Multiplication and division Solving problems Why is being proficient at calculating a desirable skill in most jobs? Order of operations Multiples Factors Weeks 3 and 4 Factors and primes Common factors and multiples What is a sensible answer? Multiples Factors LCM Estimates and measures HCF Decimal numbers Estimates Metric units Metric Weeks 5 and 6 Adding and subtracting decimals Rounding Multiplying and dividing decimals Are percentages the only maths used in the financial sector? Estimate Compare Accuracy Read and interpret FINANCE: Calculating with money

8 THETA Pathway Half Term 2a Weeks 1 and 2 Comparing fractions Simplifying fractions Change an improper fraction to a What is a sensible answer? Numerator Denominator Simplify mixed number. Cancel down Working with fractions Improper fraction Add and subtract simple fractions. Calculate simple fractions of quantities. Weeks 3 and 4 Fractions and decimals Understand percentage as the number of parts per 100. Work with equivalent percentages, Why do we use percentages to describe part of something? Equivalent Convert Percentage fractions and decimals. Weeks 5 and 6 The language of probability Calculating probability More probability calculations Probability is a huge area of mathematics. Probability Likely Calculate probability of A or B happening by counting outcomes. Experimental probability Record data from a simple Did you know it was developed for people trying to understand games and gambling? Unlikely Even chance Impossible Certain experiment. Outcomes Make conclusions based on the results of an experiment. FINANCE: Expected outcomes

9 DELTA Pathway Half Term 2a Weeks 1 and 2 Angle properties Angles and parallel lines Triangle properties How are angles linked to navigation? Obtuse Acute Reflex Straight line Corresponding Acute Vertically opposite Parallel Weeks 3 and 4 Triangle properties Properties of quadrilateral Interior angles of polygons Exterior angles of polygons Ordering decimals Rounding decimals Which professions need to understand about angles and the properties of triangles and quadrilaterals? Scalene Isosceles Equilateral Right angled Square Parallelogram Trapezium Rhombus Rectangle Kite Polygon (and their names) Interior angle Exterior angle Weeks 5 and 6 Adding and subtracting decimals Multiplying decimals Dividing decimals Are percentages the only maths used in the financial sector? Decimal place Significant figure Increase Interest Fractions, decimals and percentages Decrease FINANCE: working with percentages Depreciates Reduction VAT

10 Pi Pathway Half Term 2b Weeks 1 and 2 Right angles and lines Know a right angle is 90 degrees. Recognise quarter, half and three How are angles linked to navigation? Right angle Parallel Perpendicular Intersecting quarter turns. Recognise parallel and perpendicular lines. Weeks 3 and 4 Recognise acute, obtuse and reflex angles. Measure acute angles. Label lines and angles. Which professions need to understand about angles properties? Angle Acute Obtuse Reflex Measure obtuse angles. Weeks 5 and 6 Drawing and estimating angles Estimate the size of angles. Draw acute angles. Find missing angles on a straight line. Is guessing a legitimate mathematical process? Estimate Protractor Straight line Around a point Find missing angles round a point.

11 THETA Pathway Half Term 2b Weeks 1 and 2 Use direct proportion in simple contexts. Solve simple problems involving direct proportion. Can you think of any bills that are in direct proportion? Proportion Direct proportion Unitary method Ratio Use the unitary method to solve simple word problems involving direct proportion. Use ratio notation. Weeks 3 and 4 Reduce a ratio to its simplest form. Reduce a three part ratio to its simplest form by cancelling. Divide a quantity into two parts in a ratio. Why is being proficient at calculating a desirable skill in most jobs? Cancelling Simplify Ratio Weeks 5 and 6 Scales and measures Use fractions to describe and compare proportions. What profession will these skills be used in? Scales Ratio Measures Understand and use the relationship Compare between ratio and proportion. Relationship Use percentages to describe proportions. Understand and use the relationship between ratio and proportion.

12 DELTA Pathway Half Term 2b Weeks 1 and 2 Write and solve simple equations Solve problems involving equations Where did algebra come from? Term Co efficient Balance Inverse Weeks 3 and 4 Write and solve two step equations Write and solve equations that have brackets How does complicated algebra predict financial markets? Term Co efficient Balance Inverse Brackets Expand Weeks 5 and 6 Write and solve equations with the unknown on both sides Solve equations that include x 2 and x 3 Is guessing a legitimate mathematical process? Balance Term Co efficient Inverse Use trial and improvement to find solutions to 1 decimals places.

13 PI Pathway Half Term 3a Weeks 1 and 2 Shapes Symmetry in shapes Regular polygons How does maths in the classroom reflect maths in the real world? Shape Dimensions Symmetry Mirror line Rotational symmetry Weeks 3 Perimeter Area Which professions use these skills? Perimeter Area Dimensions Comparing fractions Numerator Denominator Weeks 4 and 5 Equivalent fractions Calculating with fractions Introducing percentages Why is being proficient at calculating desirable in most jobs? Numerator Denominator Common denominator FINANCE: Finding percentages

14 THETA Pathway Half Term 3a Weeks 1 and 2 Lines, angles and triangles Estimating, measuring and drawing angles Drawing triangles accurately How does maths in the classroom reflect maths in the real world? Acute Obtuse Reflex Isosceles STEM: Calculating angles Equilateral Angles in a triangle Scalene Identify and name types of Right angled quadrilaterals. Quadrilaterals (square, rectangle, Use the rule for the sum of angles in parallelogram, rhombus, a quadrilateral. trapezium) Weeks 3 Sequences Generate sequences from practical sequences, describing how patterns Where did algebra come from? Sequence Pattern Term grow. Generate Read, generate and plot coordinates. Coordinate Find and calculate the midpoints of a line segment. Weeks 4 and 5 Continue and describe special sequences. Generate sequences using more complex (two step) term to term Can graphs influence people s opinions? Generate Arithmetic Common difference Linear rules. Coordinate grid Recognise an arithmetic sequence Quadrant and find the starting number and Coordinates common difference. Straight line graphs

15 DELTA Pathway Half Term 3a Weeks 1 and 2: STEM: Metric and imperial units Write a ratio in its simplest form. Metric Imperial Share a quantity in 2 or more parts in a given ratio. Understand the relationship between Why are imperial units still used today? Convert Simplest form Ratio ratio and proportion. Proportion Solve simple word problems Direct proportion involving ratio and direct/inverse Indirect proportion proportion. Weeks 3: Solve problems involving ratio and proportion using the unitary method. Sharing out should be equal or should it? Unitary method Area Calculate the area of triangles. Calculate the area of parallelograms. Calculate the area of trapeziums. Weeks 4 and 5: Calculate the area and perimeter of shapes made from rectangles and triangles. Know the properties of 3D shapes. Calculate the surface area of a cube and cuboid. There are many different units to measure volume. Why is this? Why use one unit instead of another? Compound Volume Cube Cuboid Convert between different units of volume: cm³, ml and litres.

16 Pi Pathway Half Term 3b Weeks 1, 2 and 3 Reflection Reflect a shape in a mirror line. In which jobs are transformations useful? Reflection Mirror line Translation Translation Translate Translate a shape. Weeks 4 and 5 Rotation Draw and describe rotations. STEM: Congruency How does maths in the classroom reflect maths in the real world? Rotation Centre of rotation Congruency Does it need to? Weeks 6, 7 and 8 Quadrilaterals Identify the properties of quadrilaterals. Which professions need to understand about the properties of triangles and quadrilaterals? Quadrilateral Square Rectangle Parallelogram Trapezium Rhombus Kite

17 THETA Pathway Half Term 3b Weeks 1, 2 and 3 Identify congruent shapes. Enlarge shapes using given scale factors. In which professions will these skills be useful? Transformation Congruent Scale factor Work out the scale factor given an Enlargement object and its image. Object Symmetry Image Identify all the symmetries of 2D Symmetry shapes. Reflect Identify reflection symmetry in 3D Rotational shapes. Weeks 4 and 5 Recognise and carry out reflections in a mirror line. Reflect a shape on a coordinate grid. Describe a reflection on a coordinate How does maths in the classroom reflect maths in real life? Reflection Mirror line grid. Weeks 6, 7 and 8 Describe and carry out rotations on a coordinate grid. Translate 2D shapes. In what jobs are transformations useful? Centre of rotation Direction Combine transformations. Clockwise Anti clockwise Combined transformations Translation Translate

18 DELTA Pathway Half Term 3b Weeks 1, 2 and 3 Work out the terms of an arithmetic sequence using the term to term rule. Work out and use expressions for the Patterns are found everywhere, how do patterns become maths? Arithmetic Sequence Pattern Term to term rule Position to term rule nth term in an arithmetic sequence. Generate Predict Generate sequences and predict how Nth term they will continue. Weeks 4 and 5 Recognise geometric sequences and work out the term to term rule. Who developed the Cartesian grid? Geometric sequence Coordinates Midpoint Use positive and negative coordinates. Why? Work out the midpoint of a line segment. Weeks 6, 7 and 8 Draw straight line graphs. Recognise straight line graphs parallel to the axes. How can straight line graphs help us in the real world? Graph Linear Parallel Axes Axis Recognise graphs of y = x and y = x Equation of a line