Activity 01
Manipulative Mats: Equation Builders
Create mats with outlines for equations like 4 + __ = 6. Students place cubes to show the known part, then add to reach the total. Partners verify by counting together and recording the missing number.
3 and how many more makes 5 , can you show me with cubes?
Facilitation TipDuring Manipulative Mats, encourage students to count aloud as they add cubes to bridge the gap between numbers.
What to look forGive each child a card with a simple equation like '4 + __ = 7' or '9 - __ = 5'. Ask them to use 10 cubes to find the missing number and write it on the back of the card.
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Activity 02
Hide and Seek Counters
Place a total number of counters in view, then hide some under cups. Students use fingers or drawings to find the hidden amount, such as 5 total minus 2 shown. Switch who hides each round.
There are 6 eggs but some are hiding , I can see 4, how many are hiding?
Facilitation TipWhen playing Hide and Seek Counters, model the language 'I see 4, so I need to find the hiding ones' to reinforce the missing number concept.
What to look forPresent a problem on the board: 'There are 10 balloons, but some flew away. You can see 6. How many flew away?' Ask students to show the answer using their fingers or a whiteboard.
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Activity 03
Balance Scale Equations
Set up scales with a known total on one side and partial amounts plus a hidden bag on the other. Students add cubes to the visible side until balanced, discovering the missing number. Discuss what makes sides equal.
What number goes in the box to make this right: 5 and __ makes 7?
Facilitation TipFor Balance Scale Equations, ask students to adjust both sides until the scale is level, reinforcing the idea of equality.
What to look forPose the question: 'If I have 3 red counters and some blue counters, and I have 8 counters in total, how many blue counters do I have?' Encourage students to explain their thinking using words like 'add' or 'take away'.
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Activity 04
Story Problem Circle
Gather the class in a circle and act out stories like egg hiding with toy eggs. Prompt 'How many hiding?' and have children use personal counters to solve. Share solutions aloud.
3 and how many more makes 5 , can you show me with cubes?
Facilitation TipDuring Story Problem Circle, pause after each problem to let students share their strategies with a partner before discussing as a group.
What to look forGive each child a card with a simple equation like '4 + __ = 7' or '9 - __ = 5'. Ask them to use 10 cubes to find the missing number and write it on the back of the card.
UnderstandApplyAnalyzeSelf-AwarenessRelationship Skills
Generate Complete Lesson→A few notes on teaching this unit
Teach this topic by starting with concrete experiences before moving to symbols. Use daily routines like counting on from a number to find the missing addend, and pair students to discuss their strategies. Avoid rushing to written equations; let children build fluency with number bonds first. Research shows that young learners develop algebraic thinking when they see equations as balanced relationships, not just calculations.
Successful learning looks like children using manipulatives to find missing numbers with confidence and explaining their reasoning using words like 'add' or 'take away'. They should also begin to verbalize how equations balance, such as '5 and 2 more makes 7'.
Watch Out for These Misconceptions
During Manipulative Mats, watch for students guessing small numbers without counting the cubes to bridge the gap.
Ask them to count aloud as they place cubes, saying '3, 4, 5' to show the exact quantity needed to reach 5 from 3.
During Balance Scale Equations, observe if children only add to one side without checking balance.
Have them adjust both sides until the scale is level, saying 'Now both sides are equal, so the missing number is correct'.
During Hide and Seek Counters, notice if students confuse the total with the visible amount.
Ask them to recount the visible and hidden counters separately, then add them to verify the total matches the given number.
Methods used in this brief