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Experience a different way of learning math. Play select game-based puzzles from our programs.
Modeling with Expressions Wall Factory
Represent visual models with expressions.
- Interpret multiplicative and additive patterns using expressions.
- Model multiplicative and additive visual representations with expressions.
- Levels begin with simple one term elements and progress to mutli-term, multi-operation patterns.
Levels:
Multi-Step Percents
Apply multi-step percent and fractional changes to stacks of blocks.
- Calculate the end height of a stack of blocks that increase/decrease by a given percentage or fractional value represented visually and numerically.
- Interpret percents < 100 as a decrease and percents > 100 as an increase in the height of a given number of blocks.
- Levels begin with finding the sum of two stacks of blocks that changes by a given percentage and progress to finding the product of two percent changes.
Levels:
Multiplication/Division Integer Stacks
Apply integer division to form quotients of a given height.
- Interpret negative signs as flipping the direction of a block, e.g. a 3 block is 3 units above ground level, a -3 blocks is 3 units below ground level (or a hole 3 units down).
- Dividing by a negative integer involves multiplying by the inverse and reversing the direction of the block.
- Levels start by interpreting division by whole numbers as multiplying by the reciprocal and progress to applying the negative sign to positive and negative integers.
Levels:
Multiply/Divide Integer Blocks on a Number Line
Evaluate or solve for unknowns given a multiplication or division statement on a number line.
- Use visual models to interpret division with integers on a number line.
- Find points on a number line when dividing negative integers by positive integers.
- Levels start by finding the product or quotient of positive integer values posed visually and progress to finding product or quotient of negative integer values posed visually.
Levels:
Two-Step Equations
Use scaling up or down to change the length of jelly blocks to reach a given point (get JiJi to land on the blastpad).
- Apply division by scaling the given block ≥ 1 times to shrink the block and apply multiplication by scaling the given block ≥ 1 times to stretch the block.
- Develop the concept that the negative sign moves the block in the opposite direction.
- Levels start by stretching the given block n-times in either the positive (green block) or negative (red block) direction and progress to apply quantitative measures to reach an exact point.
Levels:
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By Martin Buschkuehl
By Martin Buschkuehl
