Download Math Whizz grade 8 Recording Sheet

NAME___________________________________________
Place Value, Ordering and Rounding
Name of Math Whizz Activity
Level A
Date
% Score
Help
1. Order decimals
2. Identify decimal fractions on a number line
3. Accurately use the symbols, = >
4. Add or subtract 0.001 to or from any number
Level B
1. Multiply integers by decimals 0.1, 0.01
2. Divide integers by decimals 0.1,0.01
Level C
1. Round positive numbers to any given power of 10
Level D
2. Round decimals to the nearest whole number or to one or two decimal
places
1. Read and write positive integer powers of 10
2. Missing number multiplications and divisions of 0.1 and 0.01
Math Whizz Recording Sheet – Level 8
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Time
NAME___________________________________________
Fractions
Name of Math Whizz Activity
Level A
Date
% Score
Help
Time
1. Calculate fractions of quantities (fraction answers)
2. Estimate fractions as proportions of shapes
Level B
1. Know that a recurring decimal is a fraction; use division to convert a
fraction to a decimal
2. Ordering fractions by converting them to decimals
Level C
1. Order fractions by writing them with a common denominator
2. Add fractions by writing them with a common denominator
3. Subtract fractions by writing them with a common denominator
Level D
1. Multiply an integer by a fraction
2. Divide an integer by a fraction
Math Whizz Recording Sheet – Level 8
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NAME___________________________________________
Rapid Recall – Addition, Subtraction, Multiplication and Division
Name of Math Whizz Activity
Level A
1. Recall complements in missing number questions
Level B
1. Derive the product and quotient of multiples 10 and 100 (whole number
answers)
Level C
1. Recall known facts, including fraction to decimal conversions
Level D
1. Use doubling and halving methods to multiply and divide by powers of 2
Math Whizz Recording Sheet – Level 8
Date
% Score
Help
Time
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NAME___________________________________________
Mental Calculation Strategies –Addition, Subtraction, Multiplication and Division
Name of Math Whizz Activity
Level A
Date
% Score
Help
1. Use the laws of arithmetic
2. Use portioning when multiplying
Level B
1. Use inverse operations
2. Consolidate and extend mental methods of calculations; solve word
problems mentally
3. Make and justify estimates and approximations of calculations
Level C
1. Use the order of operations, including brackets, with more complex
calculations
2. Consolidate and extend mental methods of calculations working with
fractions
3. Use knowledge of doubling and halving when multiplying
Level D
1. Use known facts to derive products of multiples of 0.1 and 0.01
2. Consolidate and extend mental methods of calculations working with
squares and square roots
3. Consolidate and extend mental methods of calculations working with
cubes and cube roots
Math Whizz Recording Sheet – Level 8
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Time
NAME___________________________________________
Pencil and Paper - Addition, Subtraction, Multiplication and Division
Name of Math Whizz Activity
Level A
1. Consolidate standard column procedures for addition of integers and
Decimals with up to two places
Level B
1. Consolidate standard column procedures for subtraction of integers
and decimals with up to two places
Level C
1. Use standard column procedure for multiplication of integers and
decimals; understand where to position the decimal point by
considering equivalent
Level D
1. Use standard column procedure for division of integers and
decimals; understand where to position the decimal point by
considering equivalent
Math Whizz Recording Sheet – Level 8
Date
% Score
Help
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Time
NAME___________________________________________
Solving Problems
Name of Math Whizz Activity
Level A
Date
% Score
Help
1. Solve word problems and investigate in number and money; identify
the necessary information to solve a problem
2. Solve number puzzles; present and interpret solutions in the context of
the original problem
Level B
1. Solve word problems and investigate in measurement
Level C
1. Solve puzzles and investigate in shape and space. Break a complex
calculation into simpler steps
Level D
1. Solve word problems and investigate in algebra
Math Whizz Recording Sheet – Level 8
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Time
NAME___________________________________________
Handling Data
Name of Math Whizz Activity
Level A
Date
% Score
Help
Time
1. Use two-way tables for discrete data
2. Construct frequency tables with given equal class intervals for sets of
continuous data
3. Collect data using a suitable method, such as data logging using ICT
Level B
1. Calculate statistics, including with a calculator, recognizing when it is
appropriate to use the range, mean, median and mode, and for
grouped
2. Calculate a mean using an assumed mean
3. Construct stem-and-leaf diagrams
4. Construct pie charts for categorical data
5. Construct bar charts and frequency diagrams for discrete and
continuous data
6. Construct simple line graphs for time series
7. Construct simple scatter graphs
Level C
1. Interpret pie charts
2. Interpret bar charts and frequency diagrams for both discrete and
continuous data
3. Interpret simple line graphs
4. Interpret simple scatter graphs
5. Interpret simple stem-and-leaf diagrams
Level D
1. Compare two distributions using the range and one or more of the
mode, median and mean
Math Whizz Recording Sheet – Level 8
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NAME___________________________________________
Measures
Name of Math Whizz Activity
Level A
Date
% Score
Help
Time
1. Use units of measurement to calculate and solve problems in every
day contexts involving length and area
2. Use units of measurement to calculate and solve problems in every
day contexts involving capacity and mass
Level B
1. Use units of measurement to calculate and solve problems in every
day contexts involving time
2. Know rough metric equivalents of imperial measure in daily use
Level C
1. Understand bearings
2. Use bearings to specify directions
3. Deduce and use formula for the area of a triangle, parallelogram
4. Deduce and use formula for the area of a trapezium
5. Calculate areas of compound shapes made from rectangles and
triangles
Level D
1. Know and use the formula for the volume of a cuboid
2. Use the formula S= 2lw+ 2lh+ 2hw to find the surface area of cuboids
Math Whizz Recording Sheet – Level 8
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NAME___________________________________________
Shape and Space
Level A
Level B
Level C
Level D
Name of Math Whizz Activity
1. Identify complementary and supplementary angles
2. Identify alternate and corresponding angles
3. Understand a proof that: the sum of the angles of a triangle is 180°
And of a quadrilateral is 360°
4. Identify and calculate angles in shapes made by parallel lines
5. Solve geometrical problems using side and angle properties of
triangles and quadrilaterals
6. Classify quadrilaterals by their geometric properties
7. Know that if 2-D shapes are congruent, corresponding sides and
angles are equal
1. Describe transformations of rotation, reflection and translation
2. Transform 2-D shapes by simple combinations of rotations, reflections
and translations on paper and using ICT
3. Identify all the symmetries of 2-D shapes
4. Know and use geometric properties of cuboids and shapes made from
cuboids
5. Begin to use plans and elevations
1. Explore enlargement of 2-D shapes, given a center of enlargement and
a positive integer scale
2. Use simple scale drawings
3. Given the coordinates of points A and B, find the mid-point of the line
segment AB
1. Use straight edge and compasses to construct the mid-point and
perpendicular bisector of a line segment
2. Use straight edge and compasses to construct the bisector of an angle
3. Use straight edge and compasses to construct the perpendicular from
a point to a line
4. Use straight edge and compasses to construct the perpendicular from
a point on a line
5. Construct a triangle, given three sides (SSS)
6. Find simple loci to produce shapes and paths, e.g. an equilateral
triangle
Math Whizz Recording Sheet – Level 8
Date
% Score
Help
Time
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NAME___________________________________________
Percentages, Ratio and Proportion
Name of Math Whizz Activity
Level A
1. Express one given number as a percentage of another
Level B
2. Use the equivalence of fractions, decimals and percentages to
compare proportions
1. Calculate percentages mentally
Date
% Score
Help
2. Calculate percentages using a calculator
Level C
1. Consolidate understanding of the relationship between ratio and
proportion
2. Reduce a ratio to its simplest form, including a ratio expressed in
different units, recognizing links with fraction notation
3. Find the outcome of given percentage increase
4. Find the outcome of given percentage decrease
Level D
1. Divide a quantity into two or more parts in a given ratio
2. Use the unitary method to solve simple word problems involving ratio
3. Use the unitary method to solve simple word problems involving direct
proportion
Math Whizz Recording Sheet – Level 8
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Time
NAME___________________________________________
Using Calculators
Name of Math Whizz Activity
Level A
Level B
Date
% Score
Help
1. Carry out more difficult calculations effectively and efficiently using the
function keys for sign change; enter numbers and interpret the display
in different contexts
1. Use brackets
2. Enter numbers and interpret the display in different contexts (money)
Level C
Level D
1. Carry out more difficult calculations effectively and efficiently using the
function keys for fractions; enter numbers and interpret the display
in different contexts
1. Carry out more difficult calculations effectively and efficiently using the
function keys for powers, roots
2. Enter numbers and interpret the display in different contexts (time)
Math Whizz Recording Sheet – Level 8
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Time
NAME___________________________________________
Integers, Powers and Roots
Name of Math Whizz Activity
Level A
Date
% Score
Help
Time
1. Add positive and negative integers
2. Subtract positive and negative integers
Level B
1. Use squares, positive and negative square roots
2. Multiple positive and negative integers
3. Divide positive and negative integers
Level C
1. Recognize and use primes
2. Recognize and use factors(divisors), common factor, highest common
factor
3. Find the prime factor decomposition of a number
Level D
1. Use cubes and cube roots
2. Use index notation for small positive integer powers
3. Find the highest common factors using prime factors
4. Find lowest common multiples using prime factors
Math Whizz Recording Sheet – Level 8
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NAME___________________________________________
Equations, Formula ,and Identities
Level
Level A
Level B
Level C
Level D
Name of Math Whizz Activity
1. Simplify or transform linear expressions by collecting like terms
2. Know the algebraic operations follow the same conventions and order
as arithmetic operators
3. Understand and use inverse operations
4. Construct and solve linear equations with integer coefficients (unknown
on either sides) using inverses
5. Construct and solve linear equations with integer coefficients (unknown
on either sides) using inverses
1. Derive simple formula
2. Begin to use graphs and set up equations to solve simple problems
Involving direct proportion
3. Use index notation for small positive integer powers
4. Multiply a single term over a bracket
1. Construct and solve linear equations with integer coefficients (unknown
on either sides) using inverses
2. Construct and solve linear equations with integer coefficients
(unknown on either sides) using inverses
3. Use formula from mathematics and other subjects; Substitute integers
into simple formula
4. Substitute integers into simple formula, including examples that lead to
an equation to solve
1. Construct and solve linear equations with integer coefficients (unknown
on both sides) without brackets)
2. Construct and solve linear equations with integer coefficients (unknown
on both sides) with brackets)
3. Substitute positive integers into expressions involving small powers
(e.g. 3 x 2 + 4 or 2 x 3)
4. Begin to distinguish the different roles played by letter symbols in
equations, formula and functions; know the meaning of the words
“formula” and “function”
Math Whizz Recording Sheet – Level 8
Date
% Score
Help
Time
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NAME___________________________________________
Sequences, Functions and Graphs
Name of Math Whizz Activity
Level A
Date
% Score
Help
Time
1. Generate terms of a linear sequence using term-to-term definitions of
the sequence, on paper and using a spreadsheet or a graphical
calculator
2. Generate a linear sequences using position-to-term definitions of
the sequence, on paper and using a spreadsheet or a graphical
calculator
3. Generate a term using its position in a sequence
4. Understand sequences that do not have a constant difference
Level B
1. Generate sequences form practical contexts
2. Begin to use linear expressions to describe the nth term of an
arithmetic sequence and justify its form
3. Express simple functions in symbols
4. Represent mappings expressed algebraically
Level C
Level D
1. Generate points in all four quadrants and plot the graphs of linear
functions, where y is given explicitly in terms of x, on paper and using
ICT
2. Recognize that equations of the form y = mx + c corresponds to
straight-line graphs
1. Construct linear functions arising from real-life problems and plot their
corresponding graphs; discuss and interpret graphs arising from real
situations
Math Whizz Recording Sheet – Level 8
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NAME___________________________________________
Probability
Name of Math Whizz Activity
Level A
Date
% Score
Help
Time
1. Use the vocabulary of probability when interpreting the results of an
experiment; appreciate that random processes are unpredictable
2. Know that if the probability of an event occurring is p, then the
probability of it not occurring 1-p
Level B
Level C
Level D
1. Find and record all mutually exclusive outcomes for a single events
and two successive events in a systematic way, using diagrams and
tables
1. Estimate probabilities from experimental data; understand that if an
experiment is repeated there may be, and usually will be, different
outcomes
1. Compare experimental and theoretical probabilities in different
contexts
2. Compare experimental and theoretical probabilities in different
contexts (different contexts)
Math Whizz Recording Sheet – Level 8
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