Scoring Norms
1. Resist side conversations.
a. The dilemma and making your own choice is part of learning.
b. The rest of us don’t benefit from your ideas or questions.
2. Work task, then take a moment to write out the big mathematical
ideas being assessed.
3. When there is a question, everyone should take a moment of quiet
think-time to see if you can find a reason for the original scoring
decision. Then open the floor to discussion.
Grade 2 – Key Mathematics
Task 1 – Same Shape, Same Number
 Fluency with addition and subtraction facts.
 Working backwards or inverse relations.
 Algebraic thinking to solve for unknowns.
Task 2 – Apple Farm Field Trip
 Using addition and subtraction in context.
 Comparison subtraction.
Task 3 – Top Lunch Choices
 Reading and interpreting a pictograph.
 Comparison subtraction. Noting relevant features of data on a graph.
Task 4 – High Horse
 Proportional reasoning.
 Measurement. Recognition and iteration of a unit.
 Comparing rates.
Task 5 Auntie Em’s Cookies
 Taking half using symmetry.
 Working backwards to complete a shape.
 Taking half numerically, including when answer is not a whole
number.
Grade 3 – Key Mathematics
Task 1 – Goldfish Bowls
 Making fair shares or size-size groups.
 Using multiplication and division in context.
 Developing a mathematical justification.
Task 2 – Birthday Decorations
 Recognizing and extending a geometric pattern.
 Identifying and working with constraints.
 Making a justification to show why a number does not fit the pattern.
Task 3 – Making a Doll House
 Shape recognition and names.
 Line symmetry.
 Compare and contrast relevant geometric attributes.
Task 4 – The Math Test
 Understanding “more than” in a graphing situation.
 Reading, interpreting data on a bar graph.
Task 5 – Valerie’s Puzzles
 Logic.
 Perseverance or productive disposition.
 Fluency with adding and subtracting number facts.
 Identifying and using constraints.
Grade 4 – Key Mathematics
Task 1 – Dragonflies
 Using multiplication, subtraction, division, and addition in context.
Interpreting a remainder.
Task 2 – Fair Play
 Finding area and perimeter.
 Reading and interpreting a diagram.
 Finding or deriving dimensions.
Task 3 – Mayan Numbers
 Recognizing and extending a pattern.
 Using operations to calculate and record coded problems using the
pattern.
 Fluency with number facts.
Task 4 – Leapfrog Fractions
 Adding friendly fractions to make one whole.
 Develop a justification.
Task 5 – Texting
 Reading and interpreting a line plot.
 Making a line plot from a frequency distribution.
 Compare and contrast relevant data features from the two line plots.
Grade 5 – Key Mathematics
Task 1 – Lifespan of an Umbrella
 Understanding mean, median, mode, range and being able to apply
them to a set of data.
 Median – misconception: middle number rather than middle number
when data is arranged from smallest to largest.
 Mode – misconception: most as in largest numerical value rather than
data point that appears most frequently.
Task 2 – Halves (Go over alternative ways of seeing in part 1.)
 Making a convincing argument using symmetry, flips, area to quantify
sizes of shapes to prove grapy area is equal to white area.
 Composing and decomposing shapes.
 Accounting for the “little bits”.
 Identifying a unit of measurement (little squares or larger squares or
two short rows).
Task 3 – Drip, Drip, Drip
 Use proportional reasoning to think about rates.
 Be able to move between multiple representations: rule, table, graph.
 Read and extrapolate data from a graph.
 Develop a logical reason to prove or disprove a conjecture.
Task 4 – Filing Cabinets
 Use fractions, decimals, and percents.
 Identify the “whole”.
 Make a complete mathematical argument.
Task 5 – Decimals
 Understanding decimal place value.
 Making a justification.
 Comparing same place value like tenths rather than the length of
decimal string.
 Progression from highest place value to lowest place value to make a
comparison.
Grade 6 – Key Mathematics
Task 1 – Sewing
 Using measurement in context and interpreting remainders.
 Understanding constraints.
 Using decimals, fractions, percents and converting flexibly between
representations.
Task 2 – Truffles
 Use proportional reasoning.
 Understand proportional situation as a multiplicative rather than
additive relationship.
 Read and interpret a graph.
 Change between proportion, graph, and rule.
 Write a formula from a graph.
Task 3 – Boxes
 Logical reasoning.
 Eliminate possibilities.
 Develop argument or justification for all possible outcomes.
 Maximizing information from each step of the experiment.
Task 4 – Skate Boarding
 Understanding angle of rotation in context.
 Knowing a triangle has 180 degrees.
 Developing an argument about unknown angles.
Task 5 – A Board Game
 Understanding and quantifying probabilities.
 Defining sample space and using constraints.
 Developing mathematical arguments.
 Understanding that order of events does not effect outcome or sample
space.
Grade 7 – Key Mathematics
Task 1 – Toy Trains
 Finding and extending a pattern.
 Working backwards or inverse relationships.
 Making a justification.
 Generalizing from a pattern to an algebraic expression.
Task 2 – Buses
 Using a time/distance graph.
 Reading and interpreting scale.
 Accuracy or using a ruler. (recognizing when precision is important)
 Problem-solving or mathematical reasoning for a nonroutine situation.
 Understanding points of intersection on the graph.
 Understanding that the pattern goes on before and after the times
given. (seeing the on-going cycle of events)
Task 3 – Sequoia
 Solving a proportion or using a scale factor.
 Understanding geometrical relationships; diameter, circumference,
radius.
 Use a formula.
 Use exponents.
 Use inverse relationships.
Task 4 – Archery (Short review of box and whisker/ how to deal with
median)
 Understanding scale and accuracy.
 Make and interpret box and whisker plot.
 Use data to make a reasoned decision.
 Identifying 5 key features of a box and whicker plot.
 Understanding that data needs to be ordered.
Task 5 – Cat Food
 Using rounding in context.
 Working with fractions and decimals.
 Understanding rates.
 Recognizing constraints.
Grade 8 – Key Mathematics
Task 1 – Averages (Short re-engagement on T3)
 Understand weighted nature of averages.
 Reason about combining averages.
 Solving system of equations.
 Working backwards.
Task 2 – Square Patterns
 Visualizing and extending a geometric pattern.
 Reasoning about relationships between “white spaces” (1 variable)
and the colored pattern (2nd variable).
 Work with area formulas and percents.
Task 3 – Marble Game
 Defining sample space
 Finding probability of a compound event or simple event.
 Understanding difference between theoretical and experimental
probability.
 Calculating experimental probability from frequency chart.
Task 4 – Vincent’s Graph
 Understanding and interpreting time graphs.
 Understanding slope (reasoning about simultaneous events versus
events that take place over time)
 Relating graphs to real situations.
 Constructing graph from description of events.
Task 5 – Photos
 Equivalent ratios.
 Understanding and interpreting remainder
 Finding a rule for any size picture.
 Scale factor
 Unit ratio
 Similarity
Algebra – Key Mathematics
Task 1 – Soup and Beans
 Write expressions and equations to fit a context.
 Understand what is being solved for or where the substitution is.
 Proportional reasoning.
Task 2 – Quadratic
 Using a rule.
 Changing a rule into an algebraic expression.
 Solving quadratics using graphs and using factoring or quadratic
formula.
 Understanding the solution to a quadratic.
 Using algebra to prove equality or make a mathematical justification.
Task 3 – Circles and Spheres (Share strategies for part 1)
 Consider the effects of using exponents on the shape of a graph.
 Using a formula to solve for one of the variables.
Task 4 – Words and Equations (Think about when to introduce alternative
equivalent, equations)
 Writing equations to match situations.
 Solving for 1 variable in terms of another.
 Clearly defining each variable.
Task 5 – Coffee (Look at alternative strategies for finding solutions in part
3)
 Read and interpret a table.
 Solve system of equations.
 Use substitution or proportional reasoning to find missing value.