Golspie High School
Maths Department
Level 4
Assessment
Profile
Name______
1. FRACTIONS/DECIMALS/%s
I can choose the most appropriate form of fractions, decimals and %s to use when making calculations mentally, in written form or using technology, then use my solutions to make comparisons, decisions and choices. (MTH 4-07a)
I can solve problems involving fractions and mixed numbers in context, using addition, subtraction or multiplication. (MTH 4-07b)
Always / With Prompt / Needs RevisionI can:
1. Choose appropriately between working with fractions, decimal fractions and percentages when solving problems or comparing values.
2. Find common percentages of a quantity mentally by using an equivalent fraction.
3. Calculate a percentage of a quantity with a calculator by using either an equivalent fraction or a decimal fraction.
4. Express and increase or a decrease as a percentage.
5. Add and subtract fractions (including mixed fractions).
6. Multiply and divide fractions(including mixed fractions).
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1. POWERS/ROOTS/SCIENTIFIC NOTATION
I have developed my understanding of the relationship between powers and roots and can carry out calculations mentally or using technology to evaluate whole no powers and roots of any appropriate number. (MTH 4-06a)
I can use scientific notation to express large or small numbers in a more efficient way and can understand and work with numbers written in this form. (MTH 4-06b)
Always / With Prompt / Needs RevisionI can:
1. Do calculations involving powers and roots mentally and calc.
2. Read and write numbers using scientific notation.
3. Express numbers written in scientific notation in other forms.
4. Use scientific notation in calculations using a calculator.
5. Recognise and use scientific notation in real applications.
6. Round to a number of significant figures.
7. Make real life calculations and choose the required degree of accuracy.
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2. DISTANCE, SPEED AND TIME
I can use the link between time, speed and distance to carry out related calculations.( MNU 4-10b)
Always / With Prompt / Needs RevisionI can:-
1. Solve distance, speed and time problems using whole units of time.
2. Solve DST problems involving half/ quarter hour times.
3. To change hours and minutes into decimal times.
4. To convert decimal times into hours and minutes.
5. To solve DST problems using any units of time.
6. To interpret and do calculations using a DST graph.
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3. RATIO AND PROPORTION
Using proportion, I can calculate the change in one quantity caused by a change in a related quantity and solve real-life problems.(MNU 4-08a)
Always / With Prompt / Needs RevisionI can:
1. Recognise when quantities are related in direct or inverse proportion. .
2. Use numerical methods to illustrate direct and inverse proportion.
3. Use graphical methods to illustrate direct and inverse proportion..
4. Solve real-life problems involving direct and inverse proportion.
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4. DATA COLLECTION, ANALYSIS, PROBABILITY
I can evaluate and interpret raw and graphical data using a variety of methods, comment on relationships I observe within the data and communicate my findings to others. (MTH 4-20a)
In order to compare numerical into in real life contexts, I can find the mean, median, mode and range of sets of numbers, decide on which type of average is most appropriate to use and discuss how using an alternative type of average could be misleading (MTH 4-20b)
I can select appropriately from a wide range of tables, charts diagrams and graphs when displaying discrete, continuous or grouped data, clearly communicating the significant features of the data. (MTH 4-21a)
By applying my understanding of probability, I can determine how many times I expect an event to happen, and use this info to make predictions, risk assessment, informed choices and decisions. (MTH 4-22a).
Always / With Prompt / Needs RevisionI can:
1. Understand Dot Plots and work out range, medians and comment on features.
2. Draw and understand Stem and Leaf Diagrams.
3. Describe correlations in a Scatter plot
4. Find the mean, median, mode and range from a frequency table.
5. Find the average from graphs, charts and diagrams.
6. Find the probability of an event occurring
7. Use probability in real life problems.
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5. SURFACE AREA
Through investigating real life problems involving the surface area of simple 3D shapes, I can explore ways to make the most efficient use of materials and carry out the necessary calculations to solve related problems (MTH 4-11b)
Always / With Prompt / Needs RevisionI can:
4. Find the S.A of a cube
2. Find the S.A. of a cuboid.
3. Calculate the area of the net of a 3D object.
4. Solve real life problems involving surface area & nets of three dimensional shapes (eg MINION PROBLEM (Purple Paint!))
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5. VOLUMES
I have explored with other the practicalities of the use of 3D objects in everyday life and can solve problems involving the volume of a prism, using the formula to make related calculations when required. (MTH 4-11c)
Always / With Prompt / Needs RevisionI can:
1. Recognise different types of prism.
2. Use formulae to calculate the volume and surface area of different prisms.
3. Use formulae to calculate the volume of a cylinder.
4. Use formulae to calculate the S.A. of a cylinder.
5. Investigate the most efficient use of materials for packaging containers.
6. Work with others to investigate real life problems related to prisms and share ideas and explain decisions (eg bananas in the Minion investigation.
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6. ALGEBRA:BRACKETS,EXPRESSIONS,EVALUATE
I have investigated how introducing brackets to an expression can change the emphasis and can demonstrate my understanding by using BIMDAS when carrying out calculations. (MTH 4-03b)
Having explored the distributive law in practical contexts, I can simplify, multiply and evaluate simple algebraic terms involving a bracket. (MTH 4-14a)
I can find the factors of algebraic terms, use my understanding to identify common factors and apply this to factorise expressions (MTH 4-14b)
Always / With Prompt / Needs RevisionI can:
1. Use BIMDAS when carrying out calculations
2. Understand the position of brackets in a calculation affects the order of operations
3. Multiply out and expand expressions with brackets
4. Simplify expressions with variables and evaluate by substitution.
5. Find the factors and the HCF of algebraic expressions
6. Factorise simple algebraic expressions (common factor)
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7. THE CIRCLE
Having investigated the relationships between the radius, diameter, circumference and area of a circle, I can apply my knowledge to solve related problems. (MTH 4-16b)
Always / With Prompt / Needs RevisionI can:
1. Find the circumference of a circle
2. Find the area of a circle.
3. Find the diameter of a circle given the Circumference
4. Find the radius of a circle given the Area.
5. Apply my knowledge to solve related circle problems
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8. NUMBER SEQUENCES ALGEBRAIC FORMULAE
Having explored how real-life situations can be modelled by number patterns, I can establish a number sequence to represent a physical or pictorial pattern, determine a general formula to describe the sequence, then use it to make evaluations and solve related problems.(MTH 4-13a)
Always / With Prompt / Needs RevisionI can:
- Understand how sequences and patterns occur naturally in real life.
- Extend a sequence and explain how it is formed.
- Recognise well-known number sequences.
- Recognise patterns in pictorial and table form.
- Find a general rule for a pattern.
- Apply rules about patterns and sequences to problems.
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9.GRADIENT
I have discussed ways to describe the slope of a line, can interpret the definition of gradient and can use it to make relevant calculations, interpreting my answer for the context of the problem.(MTH 4-13b)
Always / With Prompt / Needs RevisionI can:
1. Calculate and use gradients in real-life situations.
2. Compare gradients.
3. Calculate gradients using a coordinate grid.
4. Describe the gradients of horizontal.,vertical and parallel line.
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10. ROTATIONAL SYMMETRY
Having investigated patterns in the environment, I can use appropriate mathematical vocabulary to discuss the rotational properties of shapes, pictures and patterns and can apply my understanding when completing or creating designs.(MTH 4-19a)
Always / With Prompt / Needs RevisionI can:
1. Decide if a 2D shape has rotational symmetry.
2. Find the order of rotational symmetry.
3. Create shapes with half-turn symmetry.
4. Create shapes with quarter-turn symmetry.
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11. ALGEBRA SOLVING EQUATIONS
Having discussed the benefits of using maths to model real life situations, I can construct and solve inequalities and an extended range of equations (MTH 4-15a)
Always / With Prompt / Needs Revision1. Use symbols to express inequalities from word situations.
2. Solve a range of equations using balance method clearly showing steps involved.
3. Solve inequalities clearly showing steps invlolved
4. Model and solve real life problems by creating equations and inequalities.
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12.THE STRAIGHT LINE
Having investigated the pattern of the coordinate points lying on a horizontal or vertical line, I can describe the pattern using a simple equation.(MTH 4-13c)
I can use a given formula to generate points lying on a straight line, plot them to create a graphical representation then use this to answer related questions.(MTH 4-13d)
Always / With Prompt / Needs RevisionI can:
1. Find the equation of a horizontal and a vertical line.
2. Draw a line of the form y = mx.
3. Draw a line of the form y = mx + c.
4. Solve real-life problems.
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13. ALGEBRA CHANGE THE SUBJECT
Using the rules of algebra I can re arrange simple formulae to change the subject depending on what I need.
Always / With Prompt / Needs RevisionI can:
1. Use the rules of algebra and know the opposite operations to undo + - x and divide.
2. Apply the rules to rearrange e.g. c = d + f to [d]
3. Apply the rules to re arrange h = v / n to [n]
4. Apply the rules to re arrange E = 3w-k to [w]
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14. PYTHAGORAS
I have explored the relationship between the sides, or sides and angles, in right angled triangles and can select and use an appropriate strategy to solve related problems, interpreting my answer for the context. (MTH 4-16a)
Always / With Prompt / Needs RevisionI can:
1 Find the length of hypotenuse in a right angled triangle.
2 Find the length of one of the shorter sides.
3 Use Pythagoras to solve real life problems.
4 Find the distance between 2 coordinates using Pythagoras
5 Use the Converse of Pythagoras Theorem to decide whether a triangle is right angled or not.
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15 TRIGONOMETRY
I have explored the relationship between the sides, or sides and angles, in right angled triangles (R.A.T.) and can select and use an appropriate strategy to solve related problems, interpreting my answer for the context. (MTH 4-16a)
Always / With Prompt / Needs RevisionI can:
1 Find the Hyp, Opp and Adj side of a R.A.T.
2 Use SOHCAHTOA to find the length
of side of a R.A.T.
3 Use SOHCAHTOA to find the size of an angle in a R.A.T.
4 Solve real life problems involving Trigonometry
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16. SCATTERGRAPHS
I can select appropriately from a wide range of tables, charts diagrams and graphs when displaying discrete, continuous or grouped data, clearly communicating the significant features of the data. (MTH 4-21a)
Always / With Prompt / Needs RevisionI can:
1. Generate data to create a scattergraph
2. Create a scattergraph and draw a line of best fit
3. Describe the correlation of the data + - or 0
4. Use the line of best fit to predict missing values
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17. ANGLE PROPERTIES
I have investigated the relationship between a radius and a tangent and explored the size of the angle in a semi-circle. I can use the facts I have established to solve related problems (MTH 4-17a).