Think Through Math Gamescontent.thinkthroughmath.com/static/TTM-Games-Overview.pdfGames are included...

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TTM games prime students for the lesson

by allowing them to practice procedures

and recall facts that may be helpful in the

lesson. TTM games build fluency and skills

so students can better see relationships in

new content. TTM games are designed so

that success in the game is based on success

with the math, not just success in mastering

the game play.

Games are included as warm-up activities

in most TTM lessons. These activities serve

to engage students and ready them to learn

new content.

There are 15 unique game types listed below.

Each type of game has between 2 and 5

skins, which changes the appearance, but not

the functionality of the game. Each of the 15

game types is designed to address specific

content goals. As students play the games,

they receive in-game, dynamic feedback to

address errors and misconceptions.

Think Through Math Games

Table of ContentsArea and Perimeter

Chain

Connect

Customers

Estimation

Factor Pairs

Graphing

Match

Order of Operations

Probability

Recipe

Sorting

Stack

Target

Tile

2thinkthroughmath.com 866.357.8664©2016 Think Through Learning, Inc. All Rights Reserved.

Area and Perimeter◃ Content Goal Understand how the dimensions of a figure determine the area and

perimeter of the figure.

◃ Game Description

This game requires the player to build and fit as many shapes as possible, that meet specific parameters, into a region of fixed size. Parameters include numbers of vertices, area, and perimeter. Once constructed, the figures can be rotated and moved within the playing space to allow students to cover as much area as possible.

This game rewards strategic thinking and help to develop spatial skills. The student earns more points for submitting a plan that covers more of the region. So, a strategic player looks for figures that fit together nicely to cover the maximum area.

◃ In-Game Dynamic Feedback

First and second incorrect attempts: The aspects of the figure that are incorrect turn red and the area or perimeter of the constructed figure is displayed. Correctly satisfied criteria are marked with a check. Criteria that are not satisfied are marked with an x.

Third incorrect attempt: A correct figure is formed and displayed to the student.

Game #24301 focuses on areas of rectangles. It is used as a warm-up for the lesson Area of Triangles.


Chain◃ Content Goal Order numbers using inequality symbols and equal signs.


In this whimsical game, the player drags numeric values into chains to make statements of equality and inequality true. The game scaffolds so that with each successfully completed chain, the length of the chain increases. There is almost always more than one value that will correctly satisfy the relationship.


When values are placed in the chain, a visual approximation of the value is provided. This approximation is sized relative to a given value so the student can see at a glance which value is greater.

First and second incorrect attempt: If the student builds a statement that is not true, the incorrect inequality symbol or equal sign turns red. One of more of the values in the chain can be removed and replaced with a different value.

Third and subsequent incorrect attempts: All values below the chain that do not satisfy the statement will turn red, showing only possible correct values. The student is still responsible for placing a correct value in the chain. Incorrect values cannot be placed in the same position more than once.

Game #24302 compares fractions

with denominators of 10 and 100.

It is a warm-up activity for the 4th

grade lesson Adding Fractions

with Denominators of 10 or 100.


Connect◃ Content Goal Use base ten blocks to build a numeric value.

Use coins and bills to build a monetary value.

Build and scale ratios.


The player connects a chain of tiles to build a given value or ratio. Efficiency is rewarded in the base ten blocks and currency versions of the game. In the ratio version of the game, the player can earn more points by correctly scaling up a ratio to connect more tiles. These opportunities for extra points add an element of strategic gameplay that makes the game more fun, but not more difficult.


When building a value using currency or base ten blocks, a counter shows the value of the selected tiles so the student can compare the value they are building to the goal value.When connecting tiles to build a ratio, a diagram is completed showing the ratio the student has built so it can be compared to the goal ratio. After three incorrect attempts, the board is cleared and a new problem is presented.

Game #24312 uses base ten blocks to build values within 1,000.

It is used as a warm-up activity for the 2nd grade lesson Addition and Subtraction Concepts.


Customers◃ Content Goal Construct circular or rectangular area models to represent fractional values.


The player partitions and fills a rectangular or circular region into fractional parts to satisfy orders from customers.

This game requires the player to complete several different actions (dividing the region, filling the region, and then delivering the order to the customer). There is almost always more than one way to correctly divide and fill the region.


First incorrect attempt: The customer explains that something is wrong with the region. The customer may respond to either the fractional size of the region or to the fill.

Second incorrect attempt: The customer explains what is wrong and division lines appear across the entire region so the student can visualize the whole as n regions and think about how many of those regions will satisfy the customer’s order.

Third incorrect attempt: A correctly sized and filled region is shown and a new problem is presented.

Game #24315 uses a circular

area model to represent halves,

thirds, and fourths. It is the

warm-up activity for the 3rd grade

lesson Modeling Equivalent

Fractions with Number Lines.


Estimation ◃ Content Goal Estimate a result using various operations.


The player has a limited amount of time to place an object along a number line to estimate the result of a calculation. Each episode of game play can be modified to address one or more of the following:

• Sums, differences, products, and quotients

• Square roots and exponents

• Finding a percent of a value

• Estimating values equivalent to “ugly” fractions (e.g. 237/928 ≈ 0.25)

• Integers, fractions, and decimal values


The student makes only one estimate for each calculation shown.

After the student identifies the range of values he or she believes contain the result of the calculation, a character jumps to the actual result. Students can easily see if their estimated range included the actual result.

Game #24319 focuses on estimation of sums and differences within 100.

It is used as a warm-up activity for the 4th grade lesson Estimating Solutions to Multistep Word Problems.


Factor Pairs◃ Content Goal Identify a missing factor given a product and the other factor.


The objective of the game is to eliminate all of the numbered balls in a moving chain before the chain reaches the end of its path.

A centrally located turret shows the product and the value of the ball being thrown. The player aims the turret at a ball labeled with the missing factor to complete the factor pair. Multiple balls can be hit at a time to earn bonus points and a ball can be thrown away or strategically placed in the chain.


The student throws each factor ball only once. If it is paired correctly, the balls disappear and points are awarded. If the factors are paired incorrectly, the ball is added to the length of the chain.

Game #24321 matches factors to make products within 100.

It is used as a warm-up activity for the 6th grade lesson Dividing Whole Numbers - Standard Algorithm.


Graphing◃ Content Goal Plot points and graph lines in the coordinate plane.


This battleship-like game requires the player to clear as many enemies as possible by entering 2-D coordinates (stationary enemies) or completing the equation of a line (moving enemies).


First incorrect attempt: The point or line specified by the student is fired. The student can see where the targets are in relation to the coordinates or equation specified.

Second incorrect attempt: Same as the first attempt, plus one coordinate or one part of the equation is provided to the student.

Third incorrect attempt: The board is cleared and new targets are provided.

Game #24487 has

stationary targets in

all four quadrants. It

is used as a warm-up

activity for the Geometry

lesson Representing

Transformations with

Algebra.


Match◃ Content Goal Identify equivalent forms of numbers and numerical expressions.


Match expressions with equivalent values within a given amount of time. The time limit is included to discourage the player from performing the operations and instead to consider what about the expressions ensure they will have the same value.

One aspect of linguistic fluency is to be able to use synonyms to make yourself understood. So too with mathematical procedures. The Match game focuses on identifying alternative forms of numbers and expressions that can help students make sense of mathematical relationships.


Incorrect matches are marked with a red connecting line. After three incorrect matches the board is cleared and a new set of objects is presented.

Game #24324 involves

composing fractions

from unit fractions.

It is used as a warm-

up activity for the 5th

grade lesson Multiplying

Fractions by Fractions.


Order of Operations◃ Content Goal Simplify numeric and/or algebraic expressions.


In this racing game, the player moves along a three lane track while avoiding obstacles and picking up prizes. As they progress, they must pass through a series of gates. Each lane of the track has a gate representing a different possible step to take to simplify the expression given. The racer wins by passing through a correct series of gates to simplify the expression.

The content can be modified from simplifying simple, two-step numeric expressions to simplifying more complex algebraic expressions involving exponents, distributive property, and combining like terms.


When the student attempts to pass through an incorrect gate, the vehicle is bounced back.

When the vehicle passes through a correct gate, the simplification step chosen is applied to the expression and the student progresses on the track.

Game #24370 uses two-step numeric expressions.

It is used as a warm-up activity in the 7th grade lesson Solving and Modeling Two-step Problems.


Probability◃ Content Goal Identify the probability of a specific outcome on a spinner.

Represent probabilities using fractions, decimals, and/or percents.

◃ Game DescriptionIn this game, probability is used to stop enemies from progressing.

The player selects a color from a randomly filled spinner, determines the probability of the spinner stopping on the selected color, and then spins the wheel.

Most games include an element of probability, but it is hidden in the game play so successfully that players often don’t know that they are using probability. However, TTM’s game brings the probability front and center while not detracting at all from the fun of the game.


Students must correctly calculate the probability before spinning the spinner.

First incorrect attempt: The sections on the spinner rearrange so all sections of the same color are adjacent.

Second incorrect attempt: The probability of spinning any one wedge of the spinner is shown.

After three incorrect responses a new spinner is presented.

Game #24329

represents probabilities

as fractions. It is used

as a warm-up activity in

the high school lesson

Relating Probabilities

of Unions and

Intersections of Events.


Recipe◃ Content Goal Plot integer, fraction, and decimal values on a number line.


The player uses a slider to plot points on multiple number lines to complete a “recipe” for construction of an object (monster, robot, car, etc.). Correctly plotted points add “ingredients” or parts to the object.


First incorrect attempt: A benchmark point is shown, usually the midpoint of the section of the number line.

Second incorrect attempt: The number line is subdivided into equal sections that make it easier to plot the given value.

Third incorrect attempt: The correct placement of the value is shown and a new problem is presented.

Game #24335 has

students plotting fractions

on number lines. It is

used as a warm-up

activity for the 4th grade

lesson Word Problems

with Fractions and Mixed

Numbers - Estimation.


Sorting◃ Content Goal Model ratios visually and numerically.

Scale ratios up and down.


In this game, the player sorts moving objects into different pens. Each pen is labeled with a ratio and may also be labeled with a total number of objects. The player must sort objects into the pen that maintain the ratio and total count, if applicable.


A tape diagram in each pen shows the ratio needed for comparison to the goal ratio.

After at least one pen is correctly filled, the student can submit work. Each pen is marked correct or incorrect.

Game #24337 asks

students to build and

scale ratios. It is used

as a warm-up activity

in the 7th grade

lesson Proportional

Relationships in Tables

and Equations.


Stack◃ Content Goal Represent multiplication using equations and area models.


Players remove blocks from a stack by building multiplication equations to model the area of the block face. Physics makes this game especially fun. The player is challenged to strategically remove blocks to maximize points earned and maintain the stability of the stack.


First and second incorrect attempt: Dimensions of the block face are highlighted.

Third incorrect attempt: The correct equation is displayed and the block is taken out of play.

Game #24341 asks students to find missing factors and/or products to complete multiplication equations.

It is used as a warm-up activity for the 5th grade lesson Volume of Rectangular Prisms II.


Target◃ Content Goal Build numbers and/or evaluate numeric expressions using

place value understanding.


In this carnival like game, the player throws objects at targets as they move across the screen.


First and second incorrect attempt: The incorrect choice is temporarily shown so students can see how it compares to the goal value.

Third incorrect attempt: All targets are removed and a new problem is presented.

Game #24345 asks

students to build decimal

values to the hundredths

place using place value

understanding.

It is used as a warm-up

activity for the 5th grade

lesson Reasoning About

Rounding Decimals.


Tile◃ Content Goal Write numeric expressions with a given value. Includes

integers, fractions, decimals and all 4 arithmetic operations.

Identify equivalent numbers. Includes fraction, decimal and percent values.

Solve one- and two-step algebraic equations.


The player selects tiles to construct an expression or to identify values that satisfy a mathematical goal.


As the student selects tiles, a number line shows the value of the tiles selected. The student can see how the value selected compares to the goal.

After three incorrect attempts, a correct combination of tiles is shown and a new problem is presented.

Game #24349 asks students to

identify equivalent fractions.

It is used as a warm-up activity for

the 4th grade lesson Comparing

and Ordering Decimal Fractions.

Think Through Math Gamescontent.thinkthroughmath.com/static/TTM-Games-Overview.pdfGames are included...

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