1. Year 10 Scheme of Learning
Foundation
Higher
Assessment Schedule

2. 20.Curved Shapes and Pyramids
Foundation – Year 10
24 Jun
1 Jul
8 Jul
15 Jul
22 Jul
2 Sep
10.Ratio,
Speed &
Proportion
11. Perimeter and
Area
12.
Transformations
SUMMER 1 S
9 Sep
16 Sep
23 Sep
30 Sep
7 Oct
14 Oct
21 Oct
28 Oct 5 4
13.Probability
and Events
14.Volume and
Surface Area of Prisms
HALF
TERM
12.Transformations 2 3
4 Nov
11 Nov
18 Nov
25 Nov 7
2 Dec
9 Dec
16 Dec
23 Dec 6 8
15.Linear
Equations
Assess and
Review
14.Volume and
Surface Area of Prisms
Number Recap
and Review
XMAS
6 Jan
13 Jan
20 Jan
27 Jan 9 10
3 Feb
10 Feb 11
17 Feb
24 Feb
Statistics
Recap
and Review
15.Linear
Equations
16. Percentages and
Compound Measures
HALF
TERM
Assess and
Review
2 Mar
9 Mar
16 Mar
23 Mar
30 Mar 14
6 Apr
13 Apr
20 Apr 12 13
18. Representation
and
interpretation
18.
Representation
and
interpretation
17.
Percentages
and Variation
EASTER
27 Apr 15
4 May
11 May 16
18 May
25 May
1 Jun
8 Jun
15 Jun
20. Curved Shapes
And
Pyramids
19. Construction
And Loci
20.Curved Shapes and Pyramids
HALF
TERM
Revision

3. 11. Right Angled Triangles & Review Work
Higher – Year 10
24 Jun
1 Jul
8 Jul
15 Jul
22 Jul
2 Sep
12.
Similarity
11. Right Angled Triangles & Review Work
SUMMER 1 S
9 Sep
16 Sep
23 Sep
30 Sep
7 Oct 4
14 Oct
21 Oct 5
28 Oct 2
12.
Similarity
13. Explore and
Apply Probability
14.Powers and
Standard Form
15.
Equations &
Inequalities
HALF
TERM 3
4 Nov
11 Nov
18 Nov
25 Nov 7
2 Dec
9 Dec
16 Dec
23 Dec 6 8
15. Equations
and Inequalities
Statistics
Recap
and Review
Assess and
Review
Number Recap
and Review
XMAS
6 Jan
13 Jan
20 Jan
27 Jan
3 Feb
10 Feb 11
17 Feb
24 Feb 9 10
17.
Quadratic
Equations
16. Counting, Accuracy
and Surds
Assess and
Review
HALF
TERM
2 Mar
9 Mar
16 Mar
23 Mar
30 Mar
6 Apr
13 Apr
20 Apr 12 13 14
17.
Quadratic
Equations
17. Quadratic
Equations
EASTER
27 Apr
4 May
11 May
18 May
25 May
1 Jun
8 Jun 15
15 Jun 16
18. Sampling and more
Complex Diagrams
19.Combined
Events
HALF
TERM
Revision

4. (see calendar for assessment dates)
Assessment Schedule
(see calendar for assessment dates)

5. COMMON MISCONCEPTIONS:
CONTENT
RESOURCES
12. Similarity
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
Simplify ratios
Enlarge a shape by a given scale factor
OBJECTIVES:
Show two triangles are similar.
Work out the scale factor between similar triangles.
Solve problems involving the area and volume of similar shapes.
Compare lengths, areas and volumes using ration notation; make links to similarity and scale factors.
NOTES:
KEYWORDS:
Similar triangles
Similar shapes
Scale factor
COMMON MISCONCEPTIONS:

6. Higher CONTENT RESOURCES CHECK-IN TEST CHECK-OUT TEST STAR RESOURCES:
PROBLEM SOLVING:

7. 13.Explore and Apply Probability
CONTENT
RESOURCES
13.Explore and Apply Probability
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
Cancel Fractions
Add and Subtract Fractions
Understand and Use the probability scale from 0 to 1
OBJECTIVES:
Calculate experimental probabilities and relative frequencies.
Estimate probabilities from experiments.
Use different methods to estimate probabilities.
Recognise mutually exclusive, complementary and exhaustive events.
Predict the likely number of successful events, given the number of trials and the probability of any one outcome.
Read two-way tables and use them to work out probabilities.
Use Venn diagrams to solve probability questions.
Apply systematics listing strategies, including use of the product rule for counting.
Apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experiments.
Understand that empirical unbiased samples tend towards theoretical probability distributions, with increasing sample size.
NOTES:
KEYWORDS:
Experimental probability
Estimate probabilities
Mutually exclusive, complimentary, exhaustive
Two way tables
Venn diagrams
COMMON MISCONCEPTIONS:

8. Higher CONTENT RESOURCES CHECK-IN TEST CHECK-OUT TEST STAR RESOURCES:
PROBLEM SOLVING:

9. 14. Powers and Standard Form
CONTENT
RESOURCES
14. Powers and Standard Form
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
Multiply and Divide by powers of 10
Meaning of square, cube and their roots
Use of square, cube and the corresponding root buttons on a calculator
OBJECTIVES:
Use powers (also known as indices).
Multiply and divide by powers of 10.
Use rules for multiplying and dividing powers.
Change a number into standard form.
Calculate using numbers in standard form.
NOTES:
KEYWORDS:
Powers / indices
Standard form
COMMON MISCONCEPTIONS:

10. Higher CONTENT RESOURCES CHECK-IN TEST CHECK-OUT TEST STAR RESOURCES:
PROBLEM SOLVING:
Tarsia puzzle Non calculator standard form calculations
Standard form planets problem /
Answers

11. 15. Equations and Inequalities
CONTENT
RESOURCES
15. Equations and Inequalities
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
Basic language of algebra
Collect like terms
Expand brackets
Solve linear equations (3x+2 = 29)
Inverse operations
Meaning of < and > signs
OBJECTIVES:
Solve equations in which the variable (the letter) appears as part of the numerator of a fraction.
Solve equations where you have to expand brackets first.
Solve equations where the variable appears on both sides of the equals sign.
Set up equations from given information and then solve them.
Solve simultaneous linear equations in two variables using the elimination method.
Solve simultaneous linear equations in two variables using the substitution method.
Solve simultaneous linear equations by balancing coefficients.
Solve problems using simultaneous linear equations.
Solve a simple linear inequality and represent it on a number line.
Show a graphical inequality.
Find regions that satisfy more than one graphical inequality.
Estimate the answer to an equations that does not have an exact solution using trial and improvement.
NOTES:
KEYWORDS:
Variable
Expand
Simultaneous linear equations
Coefficients
Linear inequality
Region
Trial and improvement
COMMON MISCONCEPTIONS:

12. Combining Inequalities
CONTENT
RESOURCES
Higher
CHECK-IN TEST
CHECK-OUT TEST
STAR RESOURCES:
PROBLEM SOLVING:
Combining Inequalities

13. 16.Counting, Accuracy and Surds
CONTENT
RESOURCES
16.Counting, Accuracy and Surds
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
Round numbers to nearest 10, 100, 1000
Round numbers to a given d.p. or s.f.
Know squares and roots to 15 squared
Cubes and roots to 10 cubed
Divide a fraction
Know meaning of terminating and recurring decimal
OBJECTIVES:
Recognise rational numbers, reciprocals, terminating decimals and recurring decimals.
Convert terminal decimals to fractions.
Convert fractions to recurring decimals.
Find reciprocals of numbers or fractions.
How to estimate powers and roots of any given positive number.
Apply the rules of powers to negative and fractional powers.
Find and use the relationship between negative powers and roots.
Simplify surds.
Calculate and manipulate surds, including rationalising a denominator.
Find the error interval or limits of accuracy of numbers that have been rounded to different degrees of accuracy.
Combine limits of two or more variables together to solve problems.
Work out the number of choices, arrangements or outcomes when choosing from lists or sets.
NOTES:
KEYWORDS:
Rational, recurring, terminal, reciprocal
Powers and roots
Negative and fractional
Surds inc. rationalising denominator
Error intervals / limits of accuracy
Arrangements or outcomes
COMMON MISCONCEPTIONS:

14. Limits of accuracy problems
CONTENT
RESOURCES
Higher
CHECK-IN TEST
CHECK-OUT TEST
STAR RESOURCES:
PROBLEM SOLVING:
Limits of accuracy problems

15. COMMON MISCONCEPTIONS:
CONTENT
RESOURCES
17. Quadratic Equations
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
Substitute into algebraic functions
Plot a graph, given points
Draw Linear Graphs
Find Equation of a graph
Collect like terms
Simplify algebraic expressions
Solve Linear Equations & inequalites
OBJECTIVES:
Draw and read values from quadratic graphs.
Solve a quadratic equation by factorisation.
Rearrange a quadratic equation so that it can be factorised.
Solve a quadratic equation by using the quadratic formula.
Recognise why some quadratic equations cannot be solved.
Solve a quadratic equation by completing the square.
Identify the significant points of a quadratic function graphically.
Identify the roots of a quadratic function by solving a quadratic equation.
Identify the turning point of a quadratic function by using symmetry or completing the square.
Solve a pair of simultaneous equations where one is linear and one is non-linear, using graphs.
Solve equations by the method of intersecting graphs.
Solve simultaneous equations where one equation is linear and the other is non-linear.
Solve quadratic inequalities.
NOTES:
KEYWORDS:
Quadratic graphs
Quadratic equation , factorise, quadratic formula, complete the square,
Roots
Turning points
Intersect
Quadratic inequalities
COMMON MISCONCEPTIONS:

16. Higher CONTENT RESOURCES CHECK-IN TEST CHECK-OUT TEST STAR RESOURCES:
PROBLEM SOLVING:

17. 18. Sampling and More Complex Diagrams
CONTENT
RESOURCES
18. Sampling and More Complex Diagrams
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
Calculate Mean, Mode, Median and Range for a set of data
Calculate the estimate of the mean from a grouped frequency table
Extract information from a range of statistical diagrams
Know meaning of ‘Continuous’ and ‘Discrete’
OBJECTIVES:
Understand sampling.
Collect unbiased reliable data for a sample.
Draw and interpret frequency polygons.
Draw and interpret cumulative frequency graphs.
Draw and interpret box plots.
Draw and interpret histograms where the bars are of equal width.
Draw and interpret histograms where the bars are of unequal width
Calculate the median, quartiles and interquartile range from a histogram.
NOTES:
KEYWORDS:
Sample
Biased/ unbiased
Frequency polygon
Cumulative frequency
Box plot
Histogram
Median, quartile, interquartile range
COMMON MISCONCEPTIONS:

18. Higher CONTENT RESOURCES CHECK-IN TEST CHECK-OUT TEST STAR RESOURCES:
PROBLEM SOLVING:
Standards Box:
S5 Interpreting bar charts, pie charts, box and whisker plot
Lesson using S6 Cumulative freq,Box plots,etc
S6 Interpreting frequency graphs

19. COMMON MISCONCEPTIONS:
CONTENT
RESOURCES
19. Combined Events
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
Simplify fractions
Add and Multiply fractions
Calculate the probability of an outcome
Calculate probabilities from two way tables
OBJECTIVES:
Work out the probability of different outcomes of combined events.
Work out the probability of two outcomes or events occurring at the same time.
Use tree diagrams to work out the probability of combined events.
Use the connectors ‘and’ and ‘or’ to work out the probabilities for combined events.
Work out the probability of combined events when the probabilities change after each event.
NOTES:
KEYWORDS:
Outcome
Combined events
Tree diagram
‘and’ and ‘or’ rules
Dependent and independent events
COMMON MISCONCEPTIONS:

20. Higher CONTENT RESOURCES CHECK-IN TEST CHECK-OUT TEST STAR RESOURCES:
PROBLEM SOLVING:
Standards Box:
S7 Developing an exam question, probability

21. COMMON MISCONCEPTIONS:
CONTENT
RESOURCES
11. Perimeter and Area
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
Know what Perimeter and Area are.
Know the units used for Perimeter and Area
Find the Perimeter and Area of shapes drawn on square grids
Find Perimeter and Area of basic rectangles
OBJECTIVES:
calculate the perimeter and area of a rectangle.
calculate the perimeter and area of a compound shape made from rectangles.
calculate the area of a triangle
calculate the area of a parallelogram and use the formula for the area of a parallelogram.
calculate the area of a trapezium and use the formula for the area of a trapezium.
recognise terms used for circle work and
calculate the circumference of a circle.
calculate the area of a circle.
give answers for circle calculations in terms of π.
NOTES:
KEYWORDS:
Perimeter and area
Rectangles, triangles, parallelograms, trapeziums and circles
Compound shapes
Radius, diameter, circumference
In terms of π
COMMON MISCONCEPTIONS:

22. Foundation CONTENT RESOURCES CHECK-IN TEST TOPIC TEST STAR RESOURCES:
PROBLEM SOLVING:
VT Area-of-a-parallelogram
VT Area-of-a-circle (2)
VT Radius-from-area
VT Diameter-from-circumference
VT Revision-circles

23. COMMON MISCONCEPTIONS:
CONTENT
RESOURCES
12.Transformations
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
How to find the lines of symmetry for 2D shapes
How to measures lines and angles
How to draw lines with the equation x = ± a, y = ± b, y = x and y = -x
How to plot and read coordinates
OBJECTIVES:
work out the order of rotational symmetry for a 2D shape
recognise shapes with rotational symmetry.
translate a 2D shape.
reflect a 2D shape in a mirror line.
rotate a 2D shape about a point.
enlarge a 2D shape by a scale factor.
use more than one transformation.
represent vectors
add and subtract vectors.
NOTES:
KEYWORDS:
Order of rotational symmetry
Translate, reflect, rotate, enlarge
Vector
COMMON MISCONCEPTIONS:

24. Foundation CONTENT RESOURCES CHECK-IN TEST TOPIC TEST STAR RESOURCES:
PROBLEM SOLVING:
Translation
Reflection
Rotation
Enlargement

25. 13.Probability and Events
CONTENT
RESOURCES
13.Probability and Events
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
How to cancel fractions
How to add or subtract fractions
What is meant by the term ‘outcome’
What is meant by the term ‘bias’
OBJECTIVES:
use the probability scale and the language of probability
calculate the probability of an outcome of an event.
calculate the probability of an outcome not happening when you know the probability of that outcome happening.
recognise mutually exclusive and exhaustive outcomes.
calculate experimental probabilities and relative frequencies from experiments
recognise different methods for estimating probabilities.
predict the likely number of successful outcomes, given the number of trials and the probability of any one outcome.
apply systematic listing and counting strategies to identify all outcomes for a variety of problems.
NOTES:
KEYWORDS:
Probability scale
Outcome of an event
Not
Mutually exclusive and exhaustive
Relative frequency
Systematic listing of outcomes
COMMON MISCONCEPTIONS:

26. Foundation CONTENT RESOURCES CHECK-IN TEST TOPIC TEST STAR RESOURCES:
PROBLEM SOLVING:

27. 14.Volume and Surface Area of Prisms
CONTENT
RESOURCES
14.Volume and Surface Area of Prisms
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
Know and Use the formula for the Volume of a cuboid
Know and Use the formula for the Circumference of a circle
Know and Use the formula for the Area of a circle
Know common metric units used for area, volume and capacity: 100mm2 = 1cm2, cm2 = 1m2,
1000mm3 = 1cm3, cm3 = 1m3, 1000cm3 = 1 Litre, 1m3 = 1000 Litres
OBJECTIVES:
use the correct terms when working with 3D shapes.
calculate the surface area and volume of a cuboid.
calculate the volume and surface area of a prism.
calculate the volume and surface area of a cylinder.
Change freely between related standard units and compound units.
NOTES:
KEYWORDS:
Face, edge, vertex
Surface area
Volume
Cuboid, prism, cylinder
COMMON MISCONCEPTIONS:

28. Foundation CONTENT RESOURCES CHECK-IN TEST TOPIC TEST STAR RESOURCES:
PROBLEM SOLVING:
VT Volume-of-Prisms
VT Volume of Cylinders

29. 15.Linear Equations CONTENT RESOURCES
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
The basic language of algebra
Collect Like terms
Expand brackets
Know that Addition and Subtraction are Inverse operations
Know that Multiplication and Division are Inverse operations
OBJECTIVES:
solve linear equations such as 3x – 1 = 11 where the variable only appears on one side
use inverse operations and inverse flow diagrams
solve equations by balancing
solve equations in which the variable (the letter) appears in the numerator of a fraction
solve equations where you have to first expand brackets.
solve equations where the variable appears on both sides of the equals sign.
NOTES:
KEYWORDS:
Variable
Linear equation
Inverse
Expand
COMMON MISCONCEPTIONS:

30. Foundation CONTENT RESOURCES CHECK-IN TEST TOPIC TEST STAR RESOURCES:
PROBLEM SOLVING:

31. 16.Percentages and Compound measures
CONTENT
RESOURCES
16.Percentages and Compound measures
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
Know Multiplication tables to 12 x 12
How to Simplify a fraction
How to Multiply and Divide, without a calculator
How to substitute into an expression
OBJECTIVES:
convert percentages to fractions and decimals and vice versa.
calculate a percentage of a quantity.
increase and decrease quantities by a percentage.
express one quantity as a percentage of another
work out percentage change
recognise and solve problems involving the compound measures of rates of pay, density and pressure.
KEYWORDS:
NOTES:
Percentage, fraction and decimal
Increase and decrease
Percentage change
Compound measures inc. rates of pay and density and pressure
COMMON MISCONCEPTIONS:
Some pupils may think that the multiplier for a 150% increase is 1.5
Some pupils may think that increasing an amount by 200% is the same as doubling.
In isolation, pupils may be able to solve original value problems confidently. However, when it is necessary to identify the type of percentage problem, many pupils will apply a method for a more simple percentage increase / decrease problem. If pupils use models (e.g. the bar model, or proportion tables) to represent all problems then they are less likely to make errors in identifying the type of problem.

32. Foundation CONTENT RESOURCES CHECK-IN TEST TOPIC TEST STAR RESOURCES:
PROBLEM SOLVING:
VT Increasing-by-a-percentage
VT Percentage-increase-multipliers
VT Percentage-decrease-multipliers
VT Mixed-multipliers
VT Calculate-percentage-change
VT Worksheet percentage-change
VT Compound-measures-pressure
VT Compound-measures-density
VT Revision-Percentage-operations (1)

33. 17.Percentages and Variation
CONTENT
RESOURCES
17.Percentages and Variation
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
Substitute into an expression
Solve simple equations
Find the value of a calculation involving brackets and powers on your calculator
OBJECTIVES:
calculate simple interest
calculate compound interest
solve problems involving repeated percentage change.
calculate the original amount, given the final amount, after a known percentage increase or decrease.
solve problems in which two variables have a directly proportional relationship (direct variation)
work out the constant of proportionality
recognise graphs that show direct variation.
solve problems in which two variables have an inversely proportional relationship (inverse variation)
NOTES:
KEYWORDS:
Simple interest
Compound interest
Percentage change
Reverse percentage
Directly and inversely proportional
Constant of proportionality
COMMON MISCONCEPTIONS:

34. Foundation CONTENT RESOURCES CHECK-IN TEST TOPIC TEST STAR RESOURCES:
PROBLEM SOLVING:
Bruno's Compound Interest
VT compound-interest-1 (1)
SIMPLE-INTEREST-differentiated
VT Reverse-percentages
SMP Y2 Linear graphs and Proportionality
Inverse Proportionality and graphs

35. 18.Representation and Interpretation
CONTENT
RESOURCES
18.Representation and Interpretation
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
Draw and Interpret Pictograms, Line Graphs and Bar charts
Extract information from tables
Draw and Measure Angles
Plot coordinates
Calculate the Mode, Median, Mean and Range from a set of data or a Frequency Table
OBJECTIVES:
obtain a random sample from a population
collect unbiased and reliable data for a sample.
draw and interpret pie charts.
draw, interpret and use scatter diagrams
draw and use a line of best fit.
identify the modal group
calculate an estimate of the mean from a grouped table.
Interpret analyse and compare the distributions of data sets from univariate empirical distributions through appropriate graphical representation involving discrete, continuous and grouped data.
Apply statistics to describe a population.
NOTES:
KEYWORDS:
Random sample
Population
Pie chart
Scatter diagram inc. line of best fit
Modal group
Estimate mean
COMMON MISCONCEPTIONS:

36. Foundation CONTENT RESOURCES CHECK-IN TEST TOPIC TEST STAR RESOURCES:
PROBLEM SOLVING:
VT Pie-charts-fill-in-the-gaps
VT Interpreting-pie-charts-1
VT Pie-chart-angles
VT Scatter-diagrams-correlation-strength (1)
VT Midpoint-of-two-numbers-v2
VT estimated-mean-grouped-frequency
VT Worksheet estimated-mean frequency-table

37. 19.Construction and Loci CONTENT RESOURCES
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
Measure Lines and Angles
Use scales
Use a compass to draw a circle accurately
OBJECTIVES:
construct accurate drawings of triangles, using a pair of compasses, a protractor and a straight edge.
construct the bisectors of lines and angles
construct angles of 60° and 90°.
draw a locus for a given rule.
solve practical problems using loci.
NOTES:
KEYWORDS:
Construct bisector
Locus/loci
Perpendicular, equidistant
COMMON MISCONCEPTIONS:

38. Foundation CONTENT RESOURCES CHECK-IN TEST TOPIC TEST STAR RESOURCES:
PROBLEM SOLVING:
Standard constructions
Loci problems
Loci

39. 20.Curved Shapes and Pyramids
CONTENT
RESOURCES
20.Curved Shapes and Pyramids
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
Know and Use the formulae for the Area of a Rectangle and Triangle
Know ad Use the formulae for the Area and Circumference of a Circle
Know and Use the formula for the Volume of a cuboid
Know and Use the formula for the Volume of a Prism
OBJECTIVES:
calculate the length of an arc
calculate the area and angle of a sector.
calculate the volume and surface area of a pyramid.
calculate the volume and surface area of a cone.
calculate the volume and surface area of a sphere.
NOTES:
KEYWORDS:
Arc length
Sector
Volume and surface area
Pyramid, cone and sphere
COMMON MISCONCEPTIONS:

40. Foundation CONTENT RESOURCES CHECK-IN TEST TOPIC TEST STAR RESOURCES:
PROBLEM SOLVING:
VT Arc-Length
VT Volume-of-a-pyramid
VT Volume-of-a-cone

41. 11. Right Angle Triangle and Review
CONTENT
RESOURCES
11. Right Angle Triangle and Review
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
Square and root numbers mentally and using a calculator
Round numbers to a suitable degree of accuracy
OBJECTIVES:
Calculate the length of the hypotenuse in a right angled triangle.
Calculate the length of a shorter side in a right angled triangle.
Solve practical problems involving Pythagoras’ theorem.
Use Pythagoras’ Theorem and isosceles triangles
Use Pythagoras’ theorem to solve problems involving three dimensions.
Use the three trigonometric ratios.
Find lengths of sides and angles in right-angled triangles using the sine and cosine functions.
Use the trigonometric ratios to calculate an angle.
Find lengths of sides and angles in right-angled triangles using the tangent function.
Decide which trigonometric ratio to use in a right-angled triangle.
Solve practical problems using trigonometry.
Solve problems using an angle of elevation or an angle of depression.
Solve bearing problems using trigonometry.
Find the length x in this isosceles triangle, Calculate the area of the triangle.
NOTES:
KEYWORDS:
COMMON MISCONCEPTIONS:

42. CONTENT RESOURCES CHECK-IN TEST CHECK-OUT TEST STAR RESOURCES:
PROBLEM SOLVING:

43. 10. Ratio, Speed and Proportion
CONTENT
RESOURCES
10. Ratio, Speed and Proportion
PRE-REQUISITES: Assess through starters etc. Expectation on pupils to plug gaps through independent study
Know multiplication tables up to 12 x 12 and associated facts. Be able to multiply and divide with and without a calculator.
Know how to simplify fractions to their lowest terms.
Be able to find a fraction of an amount.
OBJECTIVES:
simplify a ratio
express a ratio as a fraction
divide amounts into given ratios
complete calculations from a given ratio and partial information
recognise the relationship between speed, distance and time
calculate average speed from distance and time
calculate distance travelled from the speed and the time taken
calculate the time taken on a journey from the speed and the distance
recognise and solve problems that involve direct proportion.
find the cost per unit mass
find the mass per unit cost
use the above to find which product is better value.
Change freely between related standard units and compound units in numerical and algebraic contexts.
Understand and use proportion as equality of ratios.
NOTES:
KEYWORDS:
Ratio Fraction
Speed, distance and time
Average speed Direct proportion
COMMON MISCONCEPTIONS:
Many pupils will want to identify an additive relationship between two quantities that are in proportion and apply this to solve problems
Some pupils may think that a multiplier always has to be greater than 1

44. Variation Theory Speed
CONTENT
RESOURCES
Foundation
CHECK-IN TEST
CHECK-OUT TEST
STAR RESOURCES:
PROBLEM SOLVING:
Variation Theory Speed