7th Grade Math Games | Seventh Grade Math Skills | ST Math

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.

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.

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.

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.

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.