Notice a quantity
“How many do you see? How did you see them?”
Listen for small groups, a count, or an arrangement. Let pointing and gestures carry part of the explanation.
Keep it going: “Can you show the same amount a different way?”
Tools for your side of the table
Conversation Starters
You already know how to wonder with your child. These questions help you bring that same curiosity to math, from counting to algebra.
Just like reading together: ask one question, leave thinking time, and listen. Drawings and gestures count. New prompts include expandable Wisconsin standards connections. The questions are our family-friendly interpretations, not official state wording or a complete curriculum.
These bands are starting points, not tests. The overlaps let you revisit an idea or explore what comes next. Choose what fits your child’s thinking.
Kindergarten & 1st
Count, see parts, and connect quantities to numbers.
Explore a change
“If we add one more, what do you think will happen?”
Invite a prediction, then test with objects. Connect the new total to the original amount.
Keep it going: “What if we take that one away again?”
Find the parts
“Which two parts can you see inside seven?”
Offer counters or a drawing. Keep the total visible as the parts change.
Keep it going: “Can you make different parts that still total seven?”
Compare fairly
“How could we check which group has more?”
Match objects one to one or line them up. Notice that spreading objects out does not add more.
Keep it going: “What stayed the same when we moved them?”
Count what stays
“We spread out these toys. Is it still the same number?”
Invite a recount or a one-to-one match. The amount stays the same when the arrangement changes.
Keep it going: “How could we arrange them to make the total easy to see?”
Wisconsin standards connection
Conserving a quantity when objects move. M.K.CC.B.4.b
Build a ten
“We have eight. How could we find what makes ten?”
Use fingers, counters, or a ten-frame to see the two empty places.
Keep it going: “What would we need if we started with seven?”
Wisconsin standards connection
Finding a missing part of ten. M.K.OA.A.4
A ten changes the number
“What would happen if we added ten to 27?”
Build two tens and seven ones, then add one ten. Ask your child to connect the model to 37.
Keep it going: “Why did the ones stay the same?”
Wisconsin standards connection
Explaining ten more or ten less. M.1.NBT.C.5
2nd & 3rd
Make tens, build equal groups, and begin exploring equal parts.
See place value
“Where are the tens hiding in this number?”
Let your child bundle, circle, or draw groups of ten. Connect each digit to a quantity.
Keep it going: “Could we trade one ten? What would we have then?”
Connect facts
“What fact do you already know that could help?”
Listen for breaking an array or number into useful parts. Ask your child to point to each part.
Keep it going: “How does your picture show the connection?”
Name equal groups
“What does each number in 4 × 3 mean in our story?”
Listen for the number of groups and the amount in each group, using the context to explain.
Keep it going: “How would the story change if the groups changed?”
Talk about the whole
“What counts as one whole here?”
Before naming a fraction, identify the whole and check that its parts are equal.
Keep it going: “Would the same fraction of a bigger whole be the same amount?”
Explain a bigger sum
“How could we show 236 + 148 without hiding what the digits mean?”
Draw hundreds, tens, and ones, or use number-line jumps. Discuss the trade when ones make a ten.
Keep it going: “Can you connect every jump to a part of 148?”
Wisconsin standards connection
Representing addition within 1,000. M.2.NBT.B.7
Read an array
“There are four rows of three cookies. What does each number tell us?”
Let the child point to a row and count its cookies. Connect equal groups to 4 × 3.
Keep it going: “What if we add one more row?”
Wisconsin standards connection
Interpreting multiplication as equal groups. M.3.OA.A.1
Follow time
“Our walk started at 3:25 and ended at 3:50. How much time passed?”
Mark useful stops such as 3:30. Count the minutes in the jumps, not the numbers on the clock.
Keep it going: “Could another set of jumps show the same time?”
Wisconsin standards connection
Reasoning about intervals of time. M.3.MD.A.1
4th & 5th
Connect fractions, decimals, and the size of the whole.
Compare representations
“How can these two fractions name the same amount?”
Use strips of equal length. Listen for a change in the pieces while the shaded amount stays fixed.
Keep it going: “Can you mark both amounts on one number line?”
Make decimals visible
“What does the 3 in 0.35 tell us?”
Connect three tenths to thirty hundredths. Invite the child to shade or draw the amount.
Keep it going: “How is 0.35 different from 0.53?”
Estimate before calculating
“About how big should our answer be?”
Invite a useful benchmark such as zero, one half, or one whole. Ask how it helps check the result.
Keep it going: “What answer would surprise you? Why?”
Connect words and pictures
“Where is that number in your drawing?”
Point to the units, parts, and whole. Help your child connect symbols to what is represented.
Keep it going: “Could we tell a story that matches the same picture?”
Join fractional parts
“How could a picture explain ½ + ¼?”
Use one fixed whole, split the half into fourths, and show three fourths altogether.
Keep it going: “Can the number line tell the same story?”
Wisconsin standards connection
Composing fractions with like or related denominators. M.4.NF.B.3
Check with a benchmark
“Could ⅔ + ¾ be less than one? How do you know?”
Both addends exceed one half, so the total exceeds one. Then use equal parts to find 17/12.
Keep it going: “How much more than one is it?”
Wisconsin standards connection
Equivalent fractions and reasonable estimates. M.5.NF.A.1; M.5.NF.A.2
Compare decimal sizes
“Which ribbon is longer: 0.35 meter or 0.4 meter?”
Represent both on the same meter. Forty hundredths exceeds thirty-five hundredths.
Keep it going: “Does writing 0.40 change the length?”
Wisconsin standards connection
Comparing decimals through place value. M.5.NBT.A.3
5th & 6th
Make sense of fraction and decimal operations through models and quantities.
Understand multiplication
“Does multiplying always make a positive number bigger?”
Explore multiplying by a half, by one, and by two. Let the child use a model to test the claim.
Keep it going: “What is the factor doing to the original amount?”
Keep the units
“Is our answer counting cups, scoops, meters, or dollars?”
Listen for what the answer represents. Units connect a calculation to its story.
Keep it going: “Where do you see that unit in your picture?”
Explain a method
“Why does that step work?”
Use fraction pieces or a decimal grid to explore the step. Invite sense-making before a remembered rule.
Keep it going: “Can you show the same idea another way?”
Check a decimal
“Would 0.6 meter cost more or less than a whole meter?”
Use the original unit price as a benchmark. Ask your child to connect their prediction to the product.
Keep it going: “If we change 0.6 to 1.6, what changes?”
Scale a recipe
“Half a batch needs half of ¾ cup. How can we see that amount?”
Divide the three fourths into six eighths, then take half: three eighths.
Keep it going: “What would one and a half batches need?”
Wisconsin standards connection
Representing fraction multiplication. M.5.NF.B.4
See a decimal sum
“What happens when 0.35 meter and 0.28 meter are joined?”
Draw hundredths or use jumps: 35 hundredths plus 28 hundredths makes 63 hundredths.
Keep it going: “Where can you see ten hundredths becoming one tenth?”
Wisconsin standards connection
Explaining decimal operations with models. M.5.NBT.B.7
Name the quotient
“How many ⅛-cup scoops fit in ¾ cup?”
Mark six jumps of one eighth. Explain why the answer counts scoops, not cups.
Keep it going: “What changes if the scoop is twice as large?”
Wisconsin standards connection
Interpreting fraction division. M.6.NS.A.1
6th & 7th
Explore rates, percents, and changes that cross zero.
Question a proportion
“What has to stay the same for this comparison to be fair?”
Look for a constant unit rate, equivalent ratios, or equal-sized wholes. Name the assumption.
Keep it going: “Would adding the same amount preserve this ratio?”
Interpret a percent
“A percent of what?”
Identify the whole before finding a percent. Different wholes can give different amounts for the same percent.
Keep it going: “What does 100% represent in this story?”
Separate position and change
“Where did we start, and what changed?”
Use a number line to distinguish a negative starting value from a positive or negative move.
Keep it going: “What move would bring us back to the start?”
Test a claim
“Is that always true, sometimes true, or never true?”
Try examples and look for one that challenges the claim. Ask for an explanation, not only agreement.
Keep it going: “What would convince someone who disagrees?”
Compare fairly
“Three notebooks cost $6. Five cost $9. Which has the lower price per notebook?”
Find $2 and $1.80 per notebook. Compare the same unit and discuss how many are actually needed.
Keep it going: “Does a lower unit price always mean spending less today?”
Wisconsin standards connection
Using rates in real-world decisions. M.6.RP.A.3
Cross zero
“It is −2°C, then rises five degrees. Where do we land?”
Move two units to zero and three more to 3°C. Distinguish the starting position from the change.
Keep it going: “What change would return us to −2°C?”
Wisconsin standards connection
Representing signed addition on a number line. M.7.NS.A.1
Question a sample
“We asked only our soccer team about favorite sports. Can that tell us what the whole school likes?”
Discuss who was included, who was missing, and why the group could favor soccer.
Keep it going: “How could we choose a fairer sample?”
Wisconsin standards connection
Considering whether a sample represents a population. M.7.SP.A.1
8th & beyond
Connect patterns, graphs, equations, and geometric relationships.
Connect a graph and a story
“What does this point mean in real life?”
Name both coordinates and their units. Connect the point to the table, equation, or situation.
Keep it going: “Where do you see the starting amount and the rate of change?”
Investigate a model
“What assumptions are we making?”
Discuss what a model includes and leaves out, such as fixed fees, constant speed, or a right angle.
Keep it going: “When might this model stop being useful?”
Evaluate an answer from AI
“What evidence would convince us this answer is reasonable?”
Estimate, check units, test a simple case, or compare with another representation. Treat an AI response as a claim to examine.
Keep it going: “Can we explain the reasoning without repeating the response?”
Generalize a pattern
“What changes, what stays the same, and can we write a rule?”
Move among examples, a table, a graph, and an equation. Ask what the variables represent.
Keep it going: “Can you find a case where your rule fails?”
Connect a fee and a rate
“A rental costs $1 to start and $2 an hour. Where do those numbers appear in a graph?”
Connect the starting value to the vertical intercept and the hourly increase to slope.
Keep it going: “How could we compare it with $5 to start and $1 an hour?”
Wisconsin standards connection
Modeling a linear relationship. M.8.F.B.4
Check a shortcut
“Two paths meet at a right angle: 3 meters and 4 meters. How long is the diagonal?”
Sketch the right triangle and connect 3² + 4² to 5². Explain what makes the right angle essential.
Keep it going: “Would the same rule work if the angle changed?”
Wisconsin standards connection
Using the Pythagorean relationship in context. M.8.G.B.7
Read a pattern in data
“If taller plants often have more leaves, what would we look for in a scatter plot?”
Name the two measurements. Look for a pattern and points that do not fit it. A pattern alone does not explain its cause.
Keep it going: “What other things might affect both measurements?”
Wisconsin standards connection
Interpreting patterns and outliers in paired data. M.8.SP.A.1