Multiplication tells a group story
Connect groups, objects in each group and the total to a multiplication equation.
10 practice questions Let’s explore →Grade 3 maths.
Discover the idea, experiment with a picture, then try it yourself. 114 authored lessons available.
How much does each group get?
Share a known total equally among a known number of groups.
8 practice questions Let’s explore →How many groups can we make?
Pack a known total into groups of a given size and count the groups.
8 practice questions Let’s explore →Patterns in the addition table
Read a table, follow a change and explain why sums behave that way.
16 practice questions Let’s explore →Patterns with a reason
Connect table patterns to arrays, equal groups and pairs.
16 practice questions Let’s explore →A familiar fact, a new unit
Use a one-digit fact to count tens, then explain the total in ones.
16 practice questions Let’s explore →Tens connections: 0 and 1
Practice 0 or 1 groups of ten through ninety and explain their units.
18 practice questions Let’s explore →Tens connections: 2 and 3
Practice 2 or 3 groups of ten through ninety and explain their units.
18 practice questions Let’s explore →Tens connections: 4 and 5
Practice 4 or 5 groups of ten through ninety and explain their units.
18 practice questions Let’s explore →Tens connections: 6 and 7
Practice 6 or 7 groups of ten through ninety and explain their units.
18 practice questions Let’s explore →Tens connections: 8 and 9
Practice 8 or 9 groups of ten through ninety and explain their units.
18 practice questions Let’s explore →Add it. Explain it.
Calculate new sums within one thousand with a method you can explain.
12 practice questions Let’s explore →Subtract and check back
Calculate differences within one thousand and use addition to check them.
12 practice questions Let’s explore →Does that written step work?
Explain exchanges, compare methods and repair plausible calculation errors.
12 practice questions Let’s explore →Choose your route
Calculate unfamiliar sums and differences, including everyday situations.
16 practice questions Let’s explore →One whole, one equal part
Find a fractional unit and distinguish equal parts from unequal pieces.
12 practice questions Let’s explore →More pieces, more than one whole
Name fractions as copies of the same unit, including amounts greater than one.
14 practice questions Let’s explore →Copy a piece, build a fraction
Build a requested fraction while keeping its reference whole fixed.
10 practice questions Let’s explore →One whole, one hop
Partition a unit interval and locate its first fractional endpoint.
13 practice questions Let’s explore →Fractions have a place
Read a fractional point by measuring from zero, including beyond one.
12 practice questions Let’s explore →Hop to your fraction
Place fractions on a number line with repeated equal-length hops.
10 practice questions Let’s explore →Different names, one number
Recognize equivalent fractions through equal lengths and a shared endpoint.
14 practice questions Let’s explore →New pieces, same amount
Generate an equivalent fraction by splitting or grouping every equal part.
14 practice questions Let’s explore →Whole numbers wear fractions too
Write whole numbers as fractions and recognize fractions that name whole numbers.
17 practice questions Let’s explore →Same parts, compare the counts
Compare fractions with the same denominator and justify the selected relationship.
12 practice questions Let’s explore →Same count, compare the parts
Compare equal counts of different unit parts, including the zero exception.
12 practice questions Let’s explore →Whose whole? Which amount?
Compare real measured quantities and explain why the reference whole matters.
7 practice questions Let’s explore →Tiny ticks, precise times
Count fives and then ones to read a clock to the nearest minute.
12 practice questions Let’s explore →Almost the next hour
Read the hour accurately just before and just after a new hour begins.
12 practice questions Let’s explore →Make the hands agree
Build an analog time from its digital form and notice how both hands move.
12 practice questions Let’s explore →Crack the clock clues
Explain minute intervals, moving hands and the information a clock can give.
8 practice questions Let’s explore →How long did it last?
Measure elapsed minutes across hour and day boundaries.
12 practice questions Let’s explore →When will we finish?
Add a duration to find a finishing time and its day.
12 practice questions Let’s explore →Work back to the start
Subtract elapsed minutes from a finish to find the starting time.
12 practice questions Let’s explore →A journey through minutes
Build your own number-line jumps and explain elapsed-time reasoning.
8 practice questions Let’s explore →Grams on the dial
Read a mass scale by finding the value of each interval.
10 practice questions Let’s explore →Kilograms, one interval at a time
Use kilogram graduations to measure the mass of a sample.
10 practice questions Let’s explore →Follow the liquid surface
Read liquid volume in liters and distinguish it from capacity.
12 practice questions Let’s explore →A reference for your estimate
Use marked references for sensible estimates and identify what is being measured.
8 practice questions Let’s explore →What did we weigh?
Separate container mass from contents and explore zeroing an empty container.
8 practice questions Let’s explore →Mix, measure, combine
Add measured amounts without losing their units.
8 practice questions Let’s explore →What remains?
Subtract a used amount and check what remains.
8 practice questions Let’s explore →Equal packages, total amount
Multiply a group count by the measured amount in each group.
8 practice questions Let’s explore →Share a measured amount
Divide a total to find how much each equal group receives.
8 practice questions Let’s explore →How many portions?
Divide a total by a portion size to count the full groups.
8 practice questions Let’s explore →Read the story, choose your route
Solve mixed mass and volume questions, identifying what the answer measures or counts.
8 practice questions Let’s explore →Small pictures, bigger counts
Read whole and half symbols using the graph's actual key.
8 practice questions Let’s explore →Follow the scale
Read bar counts, intervals, zero and ties on a shared numerical scale.
8 practice questions Let’s explore →Build a picture graph
Construct a labeled picture graph from each original record table.
6 practice questions Let’s explore →Build a scaled bar graph
Construct a labeled bar graph from each original record table.
6 practice questions Let’s explore →Ask the graph
Combine, separate and compare counts in real graph questions.
8 practice questions Let’s explore →Combine first, then compare
Connect intermediate category totals to one- and two-step comparison questions.
10 practice questions Let’s explore →Same data, clear graph
Reason about picture keys, consistent scales, category labels and graph titles.
8 practice questions Let’s explore →Half an inch makes a difference
Read lengths between whole-inch marks using equal half inches.
8 practice questions Let’s explore →Four equal steps in one inch
Measure whole inches and quarter-inch parts without counting endpoint marks.
8 practice questions Let’s explore →The end label is not always the length
Measure between nonzero marks and preserve the distance when a strip slides.
8 practice questions Let’s explore →Measure it, then make its mark
Measure several strips in fractional inches, record each one and build its plot.
6 practice questions Let’s explore →One strip, one X
Plot every fractional-inch record, including repeats and gaps.
6 practice questions Let’s explore →Lengths below, counts above
Interpret recorded fractional lengths, repeated measurements, gaps and comparisons.
10 practice questions Let’s explore →A square that measures space
Connect a unit square's side length to one square unit of surface area.
8 practice questions Let’s explore →Cover every part, once
Construct exact coverings with unit squares and name the area.
6 practice questions Let’s explore →Does this covering really fit?
Explain why gaps, overlaps and outside tiles invalidate an area covering.
8 practice questions Let’s explore →Count the surface
Measure tiled areas in standard and homemade square units.
12 practice questions Let’s explore →Build rows, discover area
Cover rectangles with unit squares and connect equal rows to a product.
6 practice questions Let’s explore →See the rows inside
Use whole-number side lengths to count a rectangle's square units, even with hidden grid lines.
8 practice questions Let’s explore →Space for gardens and games
Find the area of rectangular surfaces in real situations and name the square unit.
8 practice questions Let’s explore →Build a multiplication picture
Represent a given product with rectangle side lengths and unit-square area.
6 practice questions Let’s explore →Two parts, one rectangle
Connect each rectangular part's area to a distributive multiplication equation.
6 practice questions Let’s explore →Find your own useful cut
Choose a legal split and prove that both part areas make the unchanged whole.
6 practice questions Let’s explore →Why the area rule works
Explain unit-square multiplication, hidden grids and different valid splits.
8 practice questions Let’s explore →Rectangles working together
Find a rectilinear region's area by adding nonoverlapping rectangle areas.
8 practice questions Let’s explore →Find your own rectangles
Construct and evaluate different valid rectangular decompositions of a whole region.
6 practice questions Let’s explore →Rooms, mosaics and courtyards
Use rectangular decomposition to find area in original real-world settings.
8 practice questions Let’s explore →Does every part count once?
Spot overlapping rectangles, missing surface and empty space inside a bounding box.
8 practice questions Let’s explore →Take one trip around
Trace every boundary side once and connect the trip to perimeter.
6 practice questions Let’s explore →Measure the way around
Add every boundary side of rectangles and other polygons.
8 practice questions Let’s explore →Find the missing stretch
Use a known perimeter and known side lengths to find one missing side.
8 practice questions Let’s explore →Fences, frames and flags
Solve original perimeter and missing-side problems with meaningful length units.
8 practice questions Let’s explore →Same surface, new boundary
Build rectangles with equal area and different perimeters.
4 practice questions Let’s explore →Same trip, different space
Build rectangles with equal perimeter and different areas.
4 practice questions Let’s explore →Inside and around
Explain why area and perimeter measure different features of a shape.
8 practice questions Let’s explore →One shape, many names
Use side and corner clues to find every family a shape belongs to.
8 practice questions Let’s explore →Be a shape detective
Use attributes to explain shared families and spot a boundary that needs repair.
8 practice questions Let’s explore →Design a four-sided shape
Create your own examples by choosing and moving four corners.
8 practice questions Let’s explore →One whole, equal areas
Name one part of squares, rectangles, an L-shape and a triangle.
10 practice questions Let’s explore →Create a fair-share mosaic
Divide the entire area into equal parts of your own design.
8 practice questions Let’s explore →Share the space fairly
Read the story, keep the whole fixed, and give each group equal area.
6 practice questions Let’s explore →Repair the unfair shares
Move area between parts to make the proposed shares equal.
6 practice questions Let’s explore →Same area, different shapes
Explain why equal areas can look different and why a whole matters.
8 practice questions Let’s explore →Division has a multiplication partner
Find a quotient by finding its missing factor.
8 practice questions Let’s explore →Which number makes it true?
Find missing values in multiplication and division equations, wherever the blank appears.
12 practice questions Let’s explore →What is the story asking?
Find the missing quantity, choose a matching equation and answer the original question.
8 practice questions Let’s explore →Stories in rows and columns
Connect the words, the array and an equation with a missing quantity.
8 practice questions Let’s explore →One length, equal pieces
Use multiplication and division to join, share and measure equal lengths.
8 practice questions Let’s explore →One array, two useful parts
Use facts you know to work out a new product by splitting and recombining an array.
10 practice questions Let’s explore →Turn it. Same total.
Turn the same array to use a multiplication fact in the other order.
10 practice questions Let’s explore →Which part first?
Group three factors in two ways and keep track of what each first count means.
9 practice questions Let’s explore →Share it in two parts
Use two known divisions to share one total equally.
10 practice questions Let’s explore →Product connections: 0 and 1
Practice products with 0 or 1 and a one-digit number.
20 practice questions Let’s explore →Product connections: 2 and 3
Practice products with 2 or 3 and a one-digit number.
20 practice questions Let’s explore →Product connections: 4 and 5
Practice products with 4 or 5 and a one-digit number.
20 practice questions Let’s explore →Product connections: 6 and 7
Practice products with 6 or 7 and a one-digit number.
20 practice questions Let’s explore →Product connections: 8 and 9
Practice products with 8 or 9 and a one-digit number.
20 practice questions Let’s explore →Ten connects the table
Connect the products involving ten to groups and related facts.
21 practice questions Let’s explore →Division connections: 1 and 2
Use known products to divide by 1 or 2.
22 practice questions Let’s explore →Division connections: 3 and 4
Use known products to divide by 3 or 4.
22 practice questions Let’s explore →Division connections: 5 and 6
Use known products to divide by 5 or 6.
22 practice questions Let’s explore →Division connections: 7 and 8
Use known products to divide by 7 or 8.
22 practice questions Let’s explore →Division connections: 9 and 10
Use known products to divide by 9 or 10.
22 practice questions Let’s explore →Mix your connections
Choose a useful connection as multiplication and division take turns.
12 practice questions Let’s explore →One answer helps the next
Keep track of what each number means in a two-step story.
8 practice questions Let’s explore →Find the nearby ten
Compare distances and make sense of rounding to tens.
12 practice questions Let’s explore →Find the nearby hundred
Use hundreds and their halfway points to describe a number approximately.
12 practice questions Let’s explore →About how many? Exactly how many?
Use an estimate to check the size of an answer, then return to the original quantities.
10 practice questions Let’s explore →